commit 6c54c16f87a0ba72b224e43d4c1909f8bf964324
Author: Jan Bergen <jan@pandaloop.de>
Date:   Fri May 17 15:26:56 2024 +0200

    inital commit

diff --git a/bachelorarbeit/.gitignore b/bachelorarbeit/.gitignore
new file mode 100644
index 0000000..ea8c4bf
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diff --git a/bachelorarbeit/Cargo.toml b/bachelorarbeit/Cargo.toml
new file mode 100644
index 0000000..fc7a84e
--- /dev/null
+++ b/bachelorarbeit/Cargo.toml
@@ -0,0 +1,22 @@
+[package]
+name = "bachelorarbeit"
+version = "0.1.0"
+edition = "2021"
+
+# See more keys and their definitions at https://doc.rust-lang.org/cargo/reference/manifest.html
+
+[dependencies]
+gauss-quad = "0.1.8"
+num = "0.4.2"
+egui = "0.27.2"
+egui_extras = "0.27.2"
+eframe = "0.27.2"
+egui_plot = "0.27.2"
+indicatif = "0.17.8"
+nohash-hasher = "0.2.0"
+
+
+[profile.release]
+debug = true
+# lto = "fat"
+# codegen-units = 1
\ No newline at end of file
diff --git a/bachelorarbeit/flamegraph.svg b/bachelorarbeit/flamegraph.svg
new file mode 100644
index 0000000..5a996ad
--- /dev/null
+++ b/bachelorarbeit/flamegraph.svg
@@ -0,0 +1,491 @@
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+text { font-family:monospace; font-size:12px }
+#title { text-anchor:middle; font-size:17px; }
+#matched { text-anchor:end; }
+#search { text-anchor:end; opacity:0.1; cursor:pointer; }
+#search:hover, #search.show { opacity:1; }
+#subtitle { text-anchor:middle; font-color:rgb(160,160,160); }
+#unzoom { cursor:pointer; }
+#frames > *:hover { stroke:black; stroke-width:0.5; cursor:pointer; }
+.hide { display:none; }
+.parent { opacity:0.5; }
+</style><script type="text/ecmascript"><![CDATA[
+        var nametype = 'Function:';
+        var fontsize = 12;
+        var fontwidth = 0.59;
+        var xpad = 10;
+        var inverted = false;
+        var searchcolor = 'rgb(230,0,230)';
+        var fluiddrawing = true;
+        var truncate_text_right = false;
+    ]]><![CDATA["use strict";
+var details, searchbtn, unzoombtn, matchedtxt, svg, searching, frames, known_font_width;
+function init(evt) {
+    details = document.getElementById("details").firstChild;
+    searchbtn = document.getElementById("search");
+    unzoombtn = document.getElementById("unzoom");
+    matchedtxt = document.getElementById("matched");
+    svg = document.getElementsByTagName("svg")[0];
+    frames = document.getElementById("frames");
+    known_font_width = get_monospace_width(frames);
+    total_samples = parseInt(frames.attributes.total_samples.value);
+    searching = 0;
+
+    // Use GET parameters to restore a flamegraph's state.
+    var restore_state = function() {
+        var params = get_params();
+        if (params.x && params.y)
+            zoom(find_group(document.querySelector('[*|x="' + params.x + '"][y="' + params.y + '"]')));
+        if (params.s)
+            search(params.s);
+    };
+
+    if (fluiddrawing) {
+        // Make width dynamic so the SVG fits its parent's width.
+        svg.removeAttribute("width");
+        // Edge requires us to have a viewBox that gets updated with size changes.
+        var isEdge = /Edge\/\d./i.test(navigator.userAgent);
+        if (!isEdge) {
+            svg.removeAttribute("viewBox");
+        }
+        var update_for_width_change = function() {
+            if (isEdge) {
+                svg.attributes.viewBox.value = "0 0 " + svg.width.baseVal.value + " " + svg.height.baseVal.value;
+            }
+
+            // Keep consistent padding on left and right of frames container.
+            frames.attributes.width.value = svg.width.baseVal.value - xpad * 2;
+
+            // Text truncation needs to be adjusted for the current width.
+            update_text_for_elements(frames.children);
+
+            // Keep search elements at a fixed distance from right edge.
+            var svgWidth = svg.width.baseVal.value;
+            searchbtn.attributes.x.value = svgWidth - xpad;
+            matchedtxt.attributes.x.value = svgWidth - xpad;
+        };
+        window.addEventListener('resize', function() {
+            update_for_width_change();
+        });
+        // This needs to be done asynchronously for Safari to work.
+        setTimeout(function() {
+            unzoom();
+            update_for_width_change();
+            restore_state();
+        }, 0);
+    } else {
+        restore_state();
+    }
+}
+// event listeners
+window.addEventListener("click", function(e) {
+    var target = find_group(e.target);
+    if (target) {
+        if (target.nodeName == "a") {
+            if (e.ctrlKey === false) return;
+            e.preventDefault();
+        }
+        if (target.classList.contains("parent")) unzoom();
+        zoom(target);
+
+        // set parameters for zoom state
+        var el = target.querySelector("rect");
+        if (el && el.attributes && el.attributes.y && el.attributes["fg:x"]) {
+            var params = get_params()
+            params.x = el.attributes["fg:x"].value;
+            params.y = el.attributes.y.value;
+            history.replaceState(null, null, parse_params(params));
+        }
+    }
+    else if (e.target.id == "unzoom") {
+        unzoom();
+
+        // remove zoom state
+        var params = get_params();
+        if (params.x) delete params.x;
+        if (params.y) delete params.y;
+        history.replaceState(null, null, parse_params(params));
+    }
+    else if (e.target.id == "search") search_prompt();
+}, false)
+// mouse-over for info
+// show
+window.addEventListener("mouseover", function(e) {
+    var target = find_group(e.target);
+    if (target) details.nodeValue = nametype + " " + g_to_text(target);
+}, false)
+// clear
+window.addEventListener("mouseout", function(e) {
+    var target = find_group(e.target);
+    if (target) details.nodeValue = ' ';
+}, false)
+// ctrl-F for search
+window.addEventListener("keydown",function (e) {
+    if (e.keyCode === 114 || (e.ctrlKey && e.keyCode === 70)) {
+        e.preventDefault();
+        search_prompt();
+    }
+}, false)
+// functions
+function get_params() {
+    var params = {};
+    var paramsarr = window.location.search.substr(1).split('&');
+    for (var i = 0; i < paramsarr.length; ++i) {
+        var tmp = paramsarr[i].split("=");
+        if (!tmp[0] || !tmp[1]) continue;
+        params[tmp[0]]  = decodeURIComponent(tmp[1]);
+    }
+    return params;
+}
+function parse_params(params) {
+    var uri = "?";
+    for (var key in params) {
+        uri += key + '=' + encodeURIComponent(params[key]) + '&';
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+    if (uri.slice(-1) == "&")
+        uri = uri.substring(0, uri.length - 1);
+    if (uri == '?')
+        uri = window.location.href.split('?')[0];
+    return uri;
+}
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+    var children = node.querySelectorAll(selector);
+    if (children.length) return children[0];
+    return;
+}
+function find_group(node) {
+    var parent = node.parentElement;
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+    if (parent.id == "frames") return node;
+    return find_group(parent);
+}
+function orig_save(e, attr, val) {
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+    if (e.attributes[attr] == undefined) return;
+    if (val == undefined) val = e.attributes[attr].value;
+    e.setAttribute("fg:orig_" + attr, val);
+}
+function orig_load(e, attr) {
+    if (e.attributes["fg:orig_"+attr] == undefined) return;
+    e.attributes[attr].value = e.attributes["fg:orig_" + attr].value;
+    e.removeAttribute("fg:orig_" + attr);
+}
+function g_to_text(e) {
+    var text = find_child(e, "title").firstChild.nodeValue;
+    return (text)
+}
+function g_to_func(e) {
+    var func = g_to_text(e);
+    // if there's any manipulation we want to do to the function
+    // name before it's searched, do it here before returning.
+    return (func);
+}
+function get_monospace_width(frames) {
+    // Given the id="frames" element, return the width of text characters if
+    // this is a monospace font, otherwise return 0.
+    text = find_child(frames.children[0], "text");
+    originalContent = text.textContent;
+    text.textContent = "!";
+    bangWidth = text.getComputedTextLength();
+    text.textContent = "W";
+    wWidth = text.getComputedTextLength();
+    text.textContent = originalContent;
+    if (bangWidth === wWidth) {
+        return bangWidth;
+    } else {
+        return 0;
+    }
+}
+function update_text_for_elements(elements) {
+    // In order to render quickly in the browser, you want to do one pass of
+    // reading attributes, and one pass of mutating attributes. See
+    // https://web.dev/avoid-large-complex-layouts-and-layout-thrashing/ for details.
+
+    // Fall back to inefficient calculation, if we're variable-width font.
+    // TODO This should be optimized somehow too.
+    if (known_font_width === 0) {
+        for (var i = 0; i < elements.length; i++) {
+            update_text(elements[i]);
+        }
+        return;
+    }
+
+    var textElemNewAttributes = [];
+    for (var i = 0; i < elements.length; i++) {
+        var e = elements[i];
+        var r = find_child(e, "rect");
+        var t = find_child(e, "text");
+        var w = parseFloat(r.attributes.width.value) * frames.attributes.width.value / 100 - 3;
+        var txt = find_child(e, "title").textContent.replace(/\([^(]*\)$/,"");
+        var newX = format_percent((parseFloat(r.attributes.x.value) + (100 * 3 / frames.attributes.width.value)));
+
+        // Smaller than this size won't fit anything
+        if (w < 2 * known_font_width) {
+            textElemNewAttributes.push([newX, ""]);
+            continue;
+        }
+
+        // Fit in full text width
+        if (txt.length * known_font_width < w) {
+            textElemNewAttributes.push([newX, txt]);
+            continue;
+        }
+
+        var substringLength = Math.floor(w / known_font_width) - 2;
+        if (truncate_text_right) {
+            // Truncate the right side of the text.
+            textElemNewAttributes.push([newX, txt.substring(0, substringLength) + ".."]);
+            continue;
+        } else {
+            // Truncate the left side of the text.
+            textElemNewAttributes.push([newX, ".." + txt.substring(txt.length - substringLength, txt.length)]);
+            continue;
+        }
+    }
+
+    console.assert(textElemNewAttributes.length === elements.length, "Resize failed, please file a bug at https://github.com/jonhoo/inferno/");
+
+    // Now that we know new textContent, set it all in one go so we don't refresh a bazillion times.
+    for (var i = 0; i < elements.length; i++) {
+        var e = elements[i];
+        var values = textElemNewAttributes[i];
+        var t = find_child(e, "text");
+        t.attributes.x.value = values[0];
+        t.textContent = values[1];
+    }
+}
+
+function update_text(e) {
+    var r = find_child(e, "rect");
+    var t = find_child(e, "text");
+    var w = parseFloat(r.attributes.width.value) * frames.attributes.width.value / 100 - 3;
+    var txt = find_child(e, "title").textContent.replace(/\([^(]*\)$/,"");
+    t.attributes.x.value = format_percent((parseFloat(r.attributes.x.value) + (100 * 3 / frames.attributes.width.value)));
+
+    // Smaller than this size won't fit anything
+    if (w < 2 * fontsize * fontwidth) {
+        t.textContent = "";
+        return;
+    }
+    t.textContent = txt;
+    // Fit in full text width
+    if (t.getComputedTextLength() < w)
+        return;
+    if (truncate_text_right) {
+        // Truncate the right side of the text.
+        for (var x = txt.length - 2; x > 0; x--) {
+            if (t.getSubStringLength(0, x + 2) <= w) {
+                t.textContent = txt.substring(0, x) + "..";
+                return;
+            }
+        }
+    } else {
+        // Truncate the left side of the text.
+        for (var x = 2; x < txt.length; x++) {
+            if (t.getSubStringLength(x - 2, txt.length) <= w) {
+                t.textContent = ".." + txt.substring(x, txt.length);
+                return;
+            }
+        }
+    }
+    t.textContent = "";
+}
+// zoom
+function zoom_reset(e) {
+    if (e.tagName == "rect") {
+        e.attributes.x.value = format_percent(100 * parseInt(e.attributes["fg:x"].value) / total_samples);
+        e.attributes.width.value = format_percent(100 * parseInt(e.attributes["fg:w"].value) / total_samples);
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_reset(c[i]);
+    }
+}
+function zoom_child(e, x, zoomed_width_samples) {
+    if (e.tagName == "text") {
+        var parent_x = parseFloat(find_child(e.parentNode, "rect[x]").attributes.x.value);
+        e.attributes.x.value = format_percent(parent_x + (100 * 3 / frames.attributes.width.value));
+    } else if (e.tagName == "rect") {
+        e.attributes.x.value = format_percent(100 * (parseInt(e.attributes["fg:x"].value) - x) / zoomed_width_samples);
+        e.attributes.width.value = format_percent(100 * parseInt(e.attributes["fg:w"].value) / zoomed_width_samples);
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_child(c[i], x, zoomed_width_samples);
+    }
+}
+function zoom_parent(e) {
+    if (e.attributes) {
+        if (e.attributes.x != undefined) {
+            e.attributes.x.value = "0.0%";
+        }
+        if (e.attributes.width != undefined) {
+            e.attributes.width.value = "100.0%";
+        }
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_parent(c[i]);
+    }
+}
+function zoom(node) {
+    var attr = find_child(node, "rect").attributes;
+    var width = parseInt(attr["fg:w"].value);
+    var xmin = parseInt(attr["fg:x"].value);
+    var xmax = xmin + width;
+    var ymin = parseFloat(attr.y.value);
+    unzoombtn.classList.remove("hide");
+    var el = frames.children;
+    var to_update_text = [];
+    for (var i = 0; i < el.length; i++) {
+        var e = el[i];
+        var a = find_child(e, "rect").attributes;
+        var ex = parseInt(a["fg:x"].value);
+        var ew = parseInt(a["fg:w"].value);
+        // Is it an ancestor
+        if (!inverted) {
+            var upstack = parseFloat(a.y.value) > ymin;
+        } else {
+            var upstack = parseFloat(a.y.value) < ymin;
+        }
+        if (upstack) {
+            // Direct ancestor
+            if (ex <= xmin && (ex+ew) >= xmax) {
+                e.classList.add("parent");
+                zoom_parent(e);
+                to_update_text.push(e);
+            }
+            // not in current path
+            else
+                e.classList.add("hide");
+        }
+        // Children maybe
+        else {
+            // no common path
+            if (ex < xmin || ex >= xmax) {
+                e.classList.add("hide");
+            }
+            else {
+                zoom_child(e, xmin, width);
+                to_update_text.push(e);
+            }
+        }
+    }
+    update_text_for_elements(to_update_text);
+}
+function unzoom() {
+    unzoombtn.classList.add("hide");
+    var el = frames.children;
+    for(var i = 0; i < el.length; i++) {
+        el[i].classList.remove("parent");
+        el[i].classList.remove("hide");
+        zoom_reset(el[i]);
+    }
+    update_text_for_elements(el);
+}
+// search
+function reset_search() {
+    var el = document.querySelectorAll("#frames rect");
+    for (var i = 0; i < el.length; i++) {
+        orig_load(el[i], "fill")
+    }
+    var params = get_params();
+    delete params.s;
+    history.replaceState(null, null, parse_params(params));
+}
+function search_prompt() {
+    if (!searching) {
+        var term = prompt("Enter a search term (regexp " +
+            "allowed, eg: ^ext4_)", "");
+        if (term != null) {
+            search(term)
+        }
+    } else {
+        reset_search();
+        searching = 0;
+        searchbtn.classList.remove("show");
+        searchbtn.firstChild.nodeValue = "Search"
+        matchedtxt.classList.add("hide");
+        matchedtxt.firstChild.nodeValue = ""
+    }
+}
+function search(term) {
+    var re = new RegExp(term);
+    var el = frames.children;
+    var matches = new Object();
+    var maxwidth = 0;
+    for (var i = 0; i < el.length; i++) {
+        var e = el[i];
+        // Skip over frames which are either not visible, or below the zoomed-to frame
+        if (e.classList.contains("hide") || e.classList.contains("parent")) {
+            continue;
+        }
+        var func = g_to_func(e);
+        var rect = find_child(e, "rect");
+        if (func == null || rect == null)
+            continue;
+        // Save max width. Only works as we have a root frame
+        var w = parseInt(rect.attributes["fg:w"].value);
+        if (w > maxwidth)
+            maxwidth = w;
+        if (func.match(re)) {
+            // highlight
+            var x = parseInt(rect.attributes["fg:x"].value);
+            orig_save(rect, "fill");
+            rect.attributes.fill.value = searchcolor;
+            // remember matches
+            if (matches[x] == undefined) {
+                matches[x] = w;
+            } else {
+                if (w > matches[x]) {
+                    // overwrite with parent
+                    matches[x] = w;
+                }
+            }
+            searching = 1;
+        }
+    }
+    if (!searching)
+        return;
+    var params = get_params();
+    params.s = term;
+    history.replaceState(null, null, parse_params(params));
+
+    searchbtn.classList.add("show");
+    searchbtn.firstChild.nodeValue = "Reset Search";
+    // calculate percent matched, excluding vertical overlap
+    var count = 0;
+    var lastx = -1;
+    var lastw = 0;
+    var keys = Array();
+    for (k in matches) {
+        if (matches.hasOwnProperty(k))
+            keys.push(k);
+    }
+    // sort the matched frames by their x location
+    // ascending, then width descending
+    keys.sort(function(a, b){
+        return a - b;
+    });
+    // Step through frames saving only the biggest bottom-up frames
+    // thanks to the sort order. This relies on the tree property
+    // where children are always smaller than their parents.
+    for (var k in keys) {
+        var x = parseInt(keys[k]);
+        var w = matches[keys[k]];
+        if (x >= lastx + lastw) {
+            count += w;
+            lastx = x;
+            lastw = w;
+        }
+    }
+    // display matched percent
+    matchedtxt.classList.remove("hide");
+    var pct = 100 * count / maxwidth;
+    if (pct != 100) pct = pct.toFixed(1);
+    matchedtxt.firstChild.nodeValue = "Matched: " + pct + "%";
+}
+function format_percent(n) {
+    return n.toFixed(4) + "%";
+}
+]]></script><rect x="0" y="0" width="100%" height="886" fill="url(#background)"/><text id="title" fill="rgb(0,0,0)" x="50.0000%" y="24.00">Flame Graph</text><text id="details" fill="rgb(0,0,0)" x="10" y="869.00"> </text><text id="unzoom" class="hide" fill="rgb(0,0,0)" x="10" y="24.00">Reset Zoom</text><text id="search" fill="rgb(0,0,0)" x="1190" y="24.00">Search</text><text id="matched" fill="rgb(0,0,0)" x="1190" y="869.00"> </text><svg id="frames" x="10" width="1180" total_samples="564"><g><title>__cos_fma (1 samples, 0.18%)</title><rect x="0.0000%" y="789" width="0.1773%" height="15" fill="rgb(227,0,7)" fg:x="0" fg:w="1"/><text x="0.2500%" y="799.50"></text></g><g><title>[[heap]] (3 samples, 0.53%)</title><rect x="0.0000%" y="805" width="0.5319%" height="15" fill="rgb(217,0,24)" fg:x="0" fg:w="3"/><text x="0.2500%" y="815.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (2 samples, 0.35%)</title><rect x="0.1773%" y="789" width="0.3546%" height="15" fill="rgb(221,193,54)" fg:x="1" fg:w="2"/><text x="0.4273%" y="799.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="789" width="0.1773%" height="15" fill="rgb(248,212,6)" fg:x="3" fg:w="1"/><text x="0.7819%" y="799.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="773" width="0.1773%" height="15" fill="rgb(208,68,35)" fg:x="3" fg:w="1"/><text x="0.7819%" y="783.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="757" width="0.1773%" height="15" fill="rgb(232,128,0)" fg:x="3" fg:w="1"/><text x="0.7819%" y="767.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="741" width="0.1773%" height="15" fill="rgb(207,160,47)" fg:x="3" fg:w="1"/><text x="0.7819%" y="751.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="725" width="0.1773%" height="15" fill="rgb(228,23,34)" fg:x="3" fg:w="1"/><text x="0.7819%" y="735.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="709" width="0.1773%" height="15" fill="rgb(218,30,26)" fg:x="3" fg:w="1"/><text x="0.7819%" y="719.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="693" width="0.1773%" height="15" fill="rgb(220,122,19)" fg:x="3" fg:w="1"/><text x="0.7819%" y="703.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="677" width="0.1773%" height="15" fill="rgb(250,228,42)" fg:x="3" fg:w="1"/><text x="0.7819%" y="687.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="661" width="0.1773%" height="15" fill="rgb(240,193,28)" fg:x="3" fg:w="1"/><text x="0.7819%" y="671.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="645" width="0.1773%" height="15" fill="rgb(216,20,37)" fg:x="3" fg:w="1"/><text x="0.7819%" y="655.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="629" width="0.1773%" height="15" fill="rgb(206,188,39)" fg:x="3" fg:w="1"/><text x="0.7819%" y="639.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="613" width="0.1773%" height="15" fill="rgb(217,207,13)" fg:x="3" fg:w="1"/><text x="0.7819%" y="623.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="597" width="0.1773%" height="15" fill="rgb(231,73,38)" fg:x="3" fg:w="1"/><text x="0.7819%" y="607.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="581" width="0.1773%" height="15" fill="rgb(225,20,46)" fg:x="3" fg:w="1"/><text x="0.7819%" y="591.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="0.5319%" y="565" width="0.1773%" height="15" fill="rgb(210,31,41)" fg:x="3" fg:w="1"/><text x="0.7819%" y="575.50"></text></g><g><title>__tan_fma (7 samples, 1.24%)</title><rect x="0.7092%" y="789" width="1.2411%" height="15" fill="rgb(221,200,47)" fg:x="4" fg:w="7"/><text x="0.9592%" y="799.50"></text></g><g><title>bachelorarbeit::calc::omnes (17 samples, 3.01%)</title><rect x="1.9504%" y="789" width="3.0142%" height="15" fill="rgb(226,26,5)" fg:x="11" fg:w="17"/><text x="2.2004%" y="799.50">bac..</text></g><g><title>bachelorarbeit::calc::integrate_complex (2 samples, 0.35%)</title><rect x="4.6099%" y="773" width="0.3546%" height="15" fill="rgb(249,33,26)" fg:x="26" fg:w="2"/><text x="4.8599%" y="783.50"></text></g><g><title>bachelorarbeit::calc::omnes::_{{closure}} (2 samples, 0.35%)</title><rect x="4.6099%" y="757" width="0.3546%" height="15" fill="rgb(235,183,28)" fg:x="26" fg:w="2"/><text x="4.8599%" y="767.50"></text></g><g><title>bachelorarbeit::calc::omnes_integrand (2 samples, 0.35%)</title><rect x="4.6099%" y="741" width="0.3546%" height="15" fill="rgb(221,5,38)" fg:x="26" fg:w="2"/><text x="4.8599%" y="751.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::cos (2 samples, 0.35%)</title><rect x="5.3191%" y="725" width="0.3546%" height="15" 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y="725" width="0.3546%" height="15" fill="rgb(214,148,48)" fg:x="32" fg:w="2"/><text x="5.9238%" y="735.50"></text></g><g><title>[unknown] (35 samples, 6.21%)</title><rect x="0.5319%" y="805" width="6.2057%" height="15" fill="rgb(232,36,49)" fg:x="3" fg:w="35"/><text x="0.7819%" y="815.50">[unknown]</text></g><g><title>main_arena (4 samples, 0.71%)</title><rect x="6.0284%" y="789" width="0.7092%" height="15" fill="rgb(209,103,24)" fg:x="34" fg:w="4"/><text x="6.2784%" y="799.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (4 samples, 0.71%)</title><rect x="6.0284%" y="773" width="0.7092%" height="15" fill="rgb(229,88,8)" fg:x="34" fg:w="4"/><text x="6.2784%" y="783.50"></text></g><g><title>bachelorarbeit::calc::Cache::from_file (1 samples, 0.18%)</title><rect x="6.7376%" y="661" width="0.1773%" height="15" fill="rgb(213,181,19)" fg:x="38" fg:w="1"/><text x="6.9876%" y="671.50"></text></g><g><title>core::iter::traits::iterator::Iterator::collect (1 samples, 0.18%)</title><rect x="6.7376%" y="645" width="0.1773%" height="15" fill="rgb(254,191,54)" fg:x="38" fg:w="1"/><text x="6.9876%" y="655.50"></text></g><g><title>&lt;std::collections::hash::map::HashMap&lt;K,V,S&gt; as core::iter::traits::collect::FromIterator&lt;(K,V)&gt;&gt;::from_iter (1 samples, 0.18%)</title><rect x="6.7376%" y="629" width="0.1773%" height="15" fill="rgb(241,83,37)" fg:x="38" fg:w="1"/><text x="6.9876%" y="639.50"></text></g><g><title>&lt;std::collections::hash::map::HashMap&lt;K,V,S&gt; as core::iter::traits::collect::Extend&lt;(K,V)&gt;&gt;::extend (1 samples, 0.18%)</title><rect x="6.7376%" y="613" width="0.1773%" height="15" fill="rgb(233,36,39)" fg:x="38" fg:w="1"/><text x="6.9876%" y="623.50"></text></g><g><title>&lt;hashbrown::map::HashMap&lt;K,V,S,A&gt; as core::iter::traits::collect::Extend&lt;(K,V)&gt;&gt;::extend (1 samples, 0.18%)</title><rect x="6.7376%" y="597" width="0.1773%" height="15" fill="rgb(226,3,54)" fg:x="38" fg:w="1"/><text x="6.9876%" y="607.50"></text></g><g><title>core::iter::traits::iterator::Iterator::for_each (1 samples, 0.18%)</title><rect x="6.7376%" y="581" width="0.1773%" height="15" fill="rgb(245,192,40)" fg:x="38" fg:w="1"/><text x="6.9876%" y="591.50"></text></g><g><title>&lt;core::iter::adapters::map::Map&lt;I,F&gt; as core::iter::traits::iterator::Iterator&gt;::fold (1 samples, 0.18%)</title><rect x="6.7376%" y="565" width="0.1773%" height="15" fill="rgb(238,167,29)" fg:x="38" fg:w="1"/><text x="6.9876%" y="575.50"></text></g><g><title>core::iter::traits::iterator::Iterator::fold (1 samples, 0.18%)</title><rect x="6.7376%" y="549" width="0.1773%" height="15" fill="rgb(232,182,51)" fg:x="38" fg:w="1"/><text x="6.9876%" y="559.50"></text></g><g><title>core::iter::adapters::map::map_fold::_{{closure}} (1 samples, 0.18%)</title><rect x="6.7376%" y="533" width="0.1773%" height="15" fill="rgb(231,60,39)" fg:x="38" fg:w="1"/><text x="6.9876%" 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x="41.3848%" y="431.50">std..</text></g><g><title>__cos_fma (19 samples, 3.37%)</title><rect x="41.1348%" y="405" width="3.3688%" height="15" fill="rgb(237,72,25)" fg:x="232" fg:w="19"/><text x="41.3848%" y="415.50">__c..</text></g><g><title>libc_feresetround_sse_ctx (2 samples, 0.35%)</title><rect x="44.1489%" y="389" width="0.3546%" height="15" fill="rgb(244,70,9)" fg:x="249" fg:w="2"/><text x="44.3989%" y="399.50"></text></g><g><title>__ieee754_log_fma (64 samples, 11.35%)</title><rect x="44.5035%" y="373" width="11.3475%" height="15" fill="rgb(217,125,39)" fg:x="251" fg:w="64"/><text x="44.7535%" y="383.50">__ieee754_log_fma</text></g><g><title>__log (5 samples, 0.89%)</title><rect x="55.8511%" y="373" width="0.8865%" height="15" fill="rgb(235,36,10)" fg:x="315" fg:w="5"/><text x="56.1011%" y="383.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::ln (70 samples, 12.41%)</title><rect x="44.5035%" y="421" width="12.4113%" height="15" fill="rgb(251,123,47)" fg:x="251" 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(314 samples, 55.67%)</title><rect x="6.9149%" y="469" width="55.6738%" height="15" fill="rgb(242,14,37)" fg:x="39" fg:w="314"/><text x="7.1649%" y="479.50">bachelorarbeit::calc::integrate</text></g><g><title>bachelorarbeit::calc::phi0::_{{closure}} (304 samples, 53.90%)</title><rect x="8.6879%" y="453" width="53.9007%" height="15" fill="rgb(246,228,12)" fg:x="49" fg:w="304"/><text x="8.9379%" y="463.50">bachelorarbeit::calc::phi0::_{{closure}}</text></g><g><title>bachelorarbeit::calc::phi0_integrand (304 samples, 53.90%)</title><rect x="8.6879%" y="437" width="53.9007%" height="15" fill="rgb(213,55,15)" fg:x="49" fg:w="304"/><text x="8.9379%" y="447.50">bachelorarbeit::calc::phi0_integrand</text></g><g><title>std::f64::&lt;impl f64&gt;::tan (29 samples, 5.14%)</title><rect x="57.4468%" y="421" width="5.1418%" height="15" fill="rgb(209,9,3)" fg:x="324" fg:w="29"/><text x="57.6968%" y="431.50">std::f..</text></g><g><title>__tan_fma (29 samples, 5.14%)</title><rect x="57.4468%" y="405" width="5.1418%" height="15" fill="rgb(230,59,30)" fg:x="324" fg:w="29"/><text x="57.6968%" y="415.50">__tan_..</text></g><g><title>libc_feholdsetround_sse_ctx (3 samples, 0.53%)</title><rect x="62.0567%" y="389" width="0.5319%" height="15" fill="rgb(209,121,21)" fg:x="350" fg:w="3"/><text x="62.3067%" y="399.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (2 samples, 0.35%)</title><rect x="64.5390%" y="325" width="0.3546%" height="15" fill="rgb(220,109,13)" fg:x="364" fg:w="2"/><text x="64.7890%" y="335.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (1 samples, 0.18%)</title><rect x="64.8936%" y="309" width="0.1773%" height="15" fill="rgb(232,18,1)" fg:x="366" fg:w="1"/><text x="65.1436%" y="319.50"></text></g><g><title>hashbrown::raw::bitmask::BitMask::lowest_set_bit (1 samples, 0.18%)</title><rect x="67.0213%" y="277" width="0.1773%" height="15" fill="rgb(215,41,42)" fg:x="378" fg:w="1"/><text x="67.2713%" y="287.50"></text></g><g><title>&lt;hashbrown::raw::bitmask::BitMaskIter as core::iter::traits::iterator::Iterator&gt;::next (6 samples, 1.06%)</title><rect x="67.0213%" y="293" width="1.0638%" height="15" fill="rgb(224,123,36)" fg:x="378" fg:w="6"/><text x="67.2713%" y="303.50"></text></g><g><title>hashbrown::raw::bitmask::BitMask::remove_lowest_bit (5 samples, 0.89%)</title><rect x="67.1986%" y="277" width="0.8865%" height="15" fill="rgb(240,125,3)" fg:x="379" fg:w="5"/><text x="67.4486%" y="287.50"></text></g><g><title>hashbrown::map::equivalent_key::_{{closure}} (22 samples, 3.90%)</title><rect x="68.0851%" y="277" width="3.9007%" height="15" fill="rgb(205,98,50)" fg:x="384" fg:w="22"/><text x="68.3351%" y="287.50">hash..</text></g><g><title>&lt;Q as hashbrown::Equivalent&lt;K&gt;&gt;::equivalent (22 samples, 3.90%)</title><rect x="68.0851%" y="261" width="3.9007%" height="15" fill="rgb(205,185,37)" fg:x="384" fg:w="22"/><text x="68.3351%" y="271.50">&lt;Q 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width="0.1773%" height="15" fill="rgb(241,35,35)" fg:x="409" fg:w="1"/><text x="72.7677%" y="207.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="181" width="0.1773%" height="15" fill="rgb(243,32,47)" fg:x="409" fg:w="1"/><text x="72.7677%" y="191.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="165" width="0.1773%" height="15" fill="rgb(247,202,23)" fg:x="409" fg:w="1"/><text x="72.7677%" y="175.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="149" width="0.1773%" height="15" fill="rgb(219,102,11)" fg:x="409" fg:w="1"/><text x="72.7677%" y="159.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="133" width="0.1773%" height="15" fill="rgb(243,110,44)" fg:x="409" fg:w="1"/><text x="72.7677%" y="143.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="117" width="0.1773%" height="15" fill="rgb(222,74,54)" fg:x="409" fg:w="1"/><text x="72.7677%" y="127.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="101" width="0.1773%" height="15" fill="rgb(216,99,12)" fg:x="409" fg:w="1"/><text x="72.7677%" y="111.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="85" width="0.1773%" height="15" fill="rgb(226,22,26)" fg:x="409" fg:w="1"/><text x="72.7677%" y="95.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="69" width="0.1773%" height="15" fill="rgb(217,163,10)" fg:x="409" fg:w="1"/><text x="72.7677%" y="79.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="53" width="0.1773%" height="15" fill="rgb(213,25,53)" fg:x="409" fg:w="1"/><text x="72.7677%" y="63.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="72.5177%" y="37" width="0.1773%" height="15" fill="rgb(252,105,26)" fg:x="409" fg:w="1"/><text x="72.7677%" y="47.50"></text></g><g><title>hashbrown::raw::RawTable&lt;T,A&gt;::find::_{{closure}} (33 samples, 5.85%)</title><rect x="68.0851%" y="293" width="5.8511%" height="15" fill="rgb(220,39,43)" fg:x="384" fg:w="33"/><text x="68.3351%" y="303.50">hashbro..</text></g><g><title>hashbrown::raw::Bucket&lt;T&gt;::as_ref (11 samples, 1.95%)</title><rect x="71.9858%" y="277" width="1.9504%" height="15" fill="rgb(229,68,48)" fg:x="406" fg:w="11"/><text x="72.2358%" y="287.50">h..</text></g><g><title>hashbrown::raw::Bucket&lt;T&gt;::as_ptr (11 samples, 1.95%)</title><rect x="71.9858%" y="261" width="1.9504%" height="15" fill="rgb(252,8,32)" fg:x="406" fg:w="11"/><text x="72.2358%" y="271.50">h..</text></g><g><title>core::ptr::mut_ptr::&lt;impl *mut T&gt;::sub (11 samples, 1.95%)</title><rect x="71.9858%" y="245" width="1.9504%" height="15" fill="rgb(223,20,43)" fg:x="406" fg:w="11"/><text x="72.2358%" y="255.50">c..</text></g><g><title>core::ptr::mut_ptr::&lt;impl *mut T&gt;::offset (7 samples, 1.24%)</title><rect x="72.6950%" y="229" width="1.2411%" height="15" fill="rgb(229,81,49)" fg:x="410" fg:w="7"/><text x="72.9450%" y="239.50"></text></g><g><title>hashbrown::raw::h2 (7 samples, 1.24%)</title><rect x="73.9362%" y="293" width="1.2411%" height="15" fill="rgb(236,28,36)" fg:x="417" fg:w="7"/><text x="74.1862%" y="303.50"></text></g><g><title>hashbrown::raw::sse2::Group::load (10 samples, 1.77%)</title><rect x="75.1773%" y="293" width="1.7730%" height="15" fill="rgb(249,185,26)" fg:x="424" fg:w="10"/><text x="75.4273%" y="303.50">h..</text></g><g><title>core::core_arch::x86::sse2::_mm_loadu_si128 (10 samples, 1.77%)</title><rect x="75.1773%" y="277" width="1.7730%" height="15" fill="rgb(249,174,33)" fg:x="424" fg:w="10"/><text x="75.4273%" y="287.50">c..</text></g><g><title>core::intrinsics::copy_nonoverlapping (10 samples, 1.77%)</title><rect x="75.1773%" y="261" width="1.7730%" height="15" fill="rgb(233,201,37)" fg:x="424" fg:w="10"/><text x="75.4273%" y="271.50">c..</text></g><g><title>bachelorarbeit::calc::delta_with_lut (83 samples, 14.72%)</title><rect x="63.4752%" y="405" width="14.7163%" height="15" fill="rgb(221,78,26)" fg:x="358" fg:w="83"/><text x="63.7252%" y="415.50">bachelorarbeit::calc::..</text></g><g><title>std::collections::hash::map::HashMap&lt;K,V,S&gt;::get (79 samples, 14.01%)</title><rect x="64.1844%" y="389" width="14.0071%" height="15" fill="rgb(250,127,30)" fg:x="362" fg:w="79"/><text x="64.4344%" y="399.50">std::collections::has..</text></g><g><title>hashbrown::map::HashMap&lt;K,V,S,A&gt;::get (79 samples, 14.01%)</title><rect x="64.1844%" y="373" width="14.0071%" height="15" fill="rgb(230,49,44)" fg:x="362" fg:w="79"/><text x="64.4344%" y="383.50">hashbrown::map::HashM..</text></g><g><title>hashbrown::map::HashMap&lt;K,V,S,A&gt;::get_inner (79 samples, 14.01%)</title><rect x="64.1844%" y="357" width="14.0071%" height="15" fill="rgb(229,67,23)" fg:x="362" fg:w="79"/><text x="64.4344%" y="367.50">hashbrown::map::HashM..</text></g><g><title>hashbrown::raw::RawTable&lt;T,A&gt;::get (77 samples, 13.65%)</title><rect x="64.5390%" y="341" width="13.6525%" height="15" fill="rgb(249,83,47)" fg:x="364" fg:w="77"/><text x="64.7890%" y="351.50">hashbrown::raw::RawTa..</text></g><g><title>hashbrown::raw::RawTable&lt;T,A&gt;::find (75 samples, 13.30%)</title><rect x="64.8936%" y="325" width="13.2979%" height="15" fill="rgb(215,43,3)" fg:x="366" fg:w="75"/><text x="65.1436%" y="335.50">hashbrown::raw::RawT..</text></g><g><title>hashbrown::raw::RawTableInner::find_inner (74 samples, 13.12%)</title><rect x="65.0709%" y="309" width="13.1206%" height="15" fill="rgb(238,154,13)" fg:x="367" fg:w="74"/><text x="65.3209%" y="319.50">hashbrown::raw::RawT..</text></g><g><title>hashbrown::raw::sse2::Group::match_byte (7 samples, 1.24%)</title><rect x="76.9504%" y="293" width="1.2411%" height="15" fill="rgb(219,56,2)" fg:x="434" fg:w="7"/><text x="77.2004%" 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y="415.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Mul&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::mul (1 samples, 0.18%)</title><rect x="80.1418%" y="405" width="0.1773%" height="15" fill="rgb(228,22,38)" fg:x="452" fg:w="1"/><text x="80.3918%" y="415.50"></text></g><g><title>do_cos (9 samples, 1.60%)</title><rect x="81.9149%" y="373" width="1.5957%" height="15" fill="rgb(235,168,5)" fg:x="462" fg:w="9"/><text x="82.1649%" y="383.50"></text></g><g><title>do_sin (4 samples, 0.71%)</title><rect x="83.5106%" y="373" width="0.7092%" height="15" fill="rgb(221,155,16)" fg:x="471" fg:w="4"/><text x="83.7606%" y="383.50"></text></g><g><title>libc_feholdsetround_sse_ctx (2 samples, 0.35%)</title><rect x="84.2199%" y="373" width="0.3546%" height="15" fill="rgb(215,215,53)" fg:x="475" fg:w="2"/><text x="84.4699%" y="383.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::cos (27 samples, 4.79%)</title><rect x="80.3191%" y="405" width="4.7872%" height="15" fill="rgb(223,4,10)" fg:x="453" fg:w="27"/><text x="80.5691%" y="415.50">std::f..</text></g><g><title>__cos_fma (27 samples, 4.79%)</title><rect x="80.3191%" y="389" width="4.7872%" height="15" fill="rgb(234,103,6)" fg:x="453" fg:w="27"/><text x="80.5691%" y="399.50">__cos_..</text></g><g><title>libc_feresetround_sse_ctx (3 samples, 0.53%)</title><rect x="84.5745%" y="373" width="0.5319%" height="15" fill="rgb(227,97,0)" fg:x="477" fg:w="3"/><text x="84.8245%" y="383.50"></text></g><g><title>bachelorarbeit::calc::omnes::_{{closure}} (185 samples, 32.80%)</title><rect x="62.7660%" y="437" width="32.8014%" height="15" fill="rgb(234,150,53)" fg:x="354" fg:w="185"/><text x="63.0160%" y="447.50">bachelorarbeit::calc::omnes::_{{closure}}</text></g><g><title>bachelorarbeit::calc::omnes_integrand (185 samples, 32.80%)</title><rect x="62.7660%" y="421" width="32.8014%" height="15" fill="rgb(228,201,54)" fg:x="354" fg:w="185"/><text x="63.0160%" y="431.50">bachelorarbeit::calc::omnes_integrand</text></g><g><title>std::f64::&lt;impl f64&gt;::tan (59 samples, 10.46%)</title><rect x="85.1064%" y="405" width="10.4610%" height="15" fill="rgb(222,22,37)" fg:x="480" fg:w="59"/><text x="85.3564%" y="415.50">std::f64::&lt;impl..</text></g><g><title>__tan_fma (59 samples, 10.46%)</title><rect x="85.1064%" y="389" width="10.4610%" height="15" fill="rgb(237,53,32)" fg:x="480" fg:w="59"/><text x="85.3564%" y="399.50">__tan_fma</text></g><g><title>libc_feholdsetround_sse_ctx (7 samples, 1.24%)</title><rect x="94.3262%" y="373" width="1.2411%" height="15" fill="rgb(233,25,53)" fg:x="532" fg:w="7"/><text x="94.5762%" y="383.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Mul&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::mul (2 samples, 0.35%)</title><rect x="95.5674%" y="437" width="0.3546%" height="15" fill="rgb(210,40,34)" fg:x="539" fg:w="2"/><text x="95.8174%" y="447.50"></text></g><g><title>bachelorarbeit::calc::integrate_complex (196 samples, 34.75%)</title><rect x="62.5887%" y="453" width="34.7518%" height="15" fill="rgb(241,220,44)" fg:x="353" fg:w="196"/><text x="62.8387%" y="463.50">bachelorarbeit::calc::integrate_complex</text></g><g><title>num_complex::opassign::&lt;impl core::ops::arith::AddAssign for num_complex::Complex&lt;T&gt;&gt;::add_assign (8 samples, 1.42%)</title><rect x="95.9220%" y="437" width="1.4184%" height="15" fill="rgb(235,28,35)" fg:x="541" fg:w="8"/><text x="96.1720%" y="447.50"></text></g><g><title>&lt;f64 as core::ops::arith::AddAssign&gt;::add_assign (8 samples, 1.42%)</title><rect x="95.9220%" y="421" width="1.4184%" height="15" fill="rgb(210,56,17)" fg:x="541" fg:w="8"/><text x="96.1720%" y="431.50"></text></g><g><title>bachelorarbeit::calc::omnes (1 samples, 0.18%)</title><rect x="97.3404%" y="453" width="0.1773%" height="15" fill="rgb(224,130,29)" fg:x="549" fg:w="1"/><text x="97.5904%" y="463.50"></text></g><g><title>bachelorarbeit::calc::omnes (198 samples, 35.11%)</title><rect x="62.5887%" y="469" width="35.1064%" height="15" fill="rgb(235,212,8)" fg:x="353" fg:w="198"/><text x="62.8387%" y="479.50">bachelorarbeit::calc::omnes</text></g><g><title>std::collections::hash::map::HashMap&lt;K,V,S&gt;::insert (1 samples, 0.18%)</title><rect x="97.5177%" y="453" width="0.1773%" height="15" fill="rgb(223,33,50)" fg:x="550" fg:w="1"/><text x="97.7677%" y="463.50"></text></g><g><title>hashbrown::map::HashMap&lt;K,V,S,A&gt;::insert (1 samples, 0.18%)</title><rect x="97.5177%" y="437" width="0.1773%" height="15" fill="rgb(219,149,13)" fg:x="550" fg:w="1"/><text x="97.7677%" y="447.50"></text></g><g><title>hashbrown::raw::RawTable&lt;T,A&gt;::find_or_find_insert_slot (1 samples, 0.18%)</title><rect x="97.5177%" y="421" width="0.1773%" height="15" fill="rgb(250,156,29)" fg:x="550" fg:w="1"/><text x="97.7677%" 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y="671.50">core::iter::traits::iterator::Iterator::collect</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as core::iter::traits::collect::FromIterator&lt;T&gt;&gt;::from_iter (515 samples, 91.31%)</title><rect x="6.9149%" y="645" width="91.3121%" height="15" fill="rgb(231,13,6)" fg:x="39" fg:w="515"/><text x="7.1649%" y="655.50">&lt;alloc::vec::Vec&lt;T&gt; as core::iter::traits::collect::FromIterator&lt;T&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter::SpecFromIter&lt;T,I&gt;&gt;::from_iter (515 samples, 91.31%)</title><rect x="6.9149%" y="629" width="91.3121%" height="15" fill="rgb(207,181,40)" fg:x="39" fg:w="515"/><text x="7.1649%" y="639.50">&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter::SpecFromIter&lt;T,I&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter_nested::SpecFromIterNested&lt;T,I&gt;&gt;::from_iter (515 samples, 91.31%)</title><rect x="6.9149%" y="613" width="91.3121%" height="15" fill="rgb(254,173,49)" fg:x="39" fg:w="515"/><text x="7.1649%" y="623.50">&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter_nested::SpecFromIterNested&lt;T,I&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T,A&gt; as alloc::vec::spec_extend::SpecExtend&lt;T,I&gt;&gt;::spec_extend (515 samples, 91.31%)</title><rect x="6.9149%" y="597" width="91.3121%" height="15" fill="rgb(221,1,38)" fg:x="39" fg:w="515"/><text x="7.1649%" y="607.50">&lt;alloc::vec::Vec&lt;T,A&gt; as alloc::vec::spec_extend::SpecExtend&lt;T,I&gt;&gt;::spec_extend</text></g><g><title>alloc::vec::Vec&lt;T,A&gt;::extend_trusted (515 samples, 91.31%)</title><rect x="6.9149%" y="581" width="91.3121%" height="15" fill="rgb(206,124,46)" fg:x="39" fg:w="515"/><text x="7.1649%" y="591.50">alloc::vec::Vec&lt;T,A&gt;::extend_trusted</text></g><g><title>core::iter::traits::iterator::Iterator::for_each (515 samples, 91.31%)</title><rect x="6.9149%" y="565" width="91.3121%" height="15" fill="rgb(249,21,11)" fg:x="39" fg:w="515"/><text x="7.1649%" y="575.50">core::iter::traits::iterator::Iterator::for_each</text></g><g><title>&lt;core::iter::adapters::map::Map&lt;I,F&gt; as core::iter::traits::iterator::Iterator&gt;::fold (515 samples, 91.31%)</title><rect x="6.9149%" y="549" width="91.3121%" height="15" fill="rgb(222,201,40)" fg:x="39" fg:w="515"/><text x="7.1649%" y="559.50">&lt;core::iter::adapters::map::Map&lt;I,F&gt; as core::iter::traits::iterator::Iterator&gt;::fold</text></g><g><title>&lt;core::slice::iter::Iter&lt;T&gt; as core::iter::traits::iterator::Iterator&gt;::fold (515 samples, 91.31%)</title><rect x="6.9149%" y="533" width="91.3121%" height="15" fill="rgb(235,61,29)" fg:x="39" fg:w="515"/><text x="7.1649%" y="543.50">&lt;core::slice::iter::Iter&lt;T&gt; as core::iter::traits::iterator::Iterator&gt;::fold</text></g><g><title>core::iter::adapters::map::map_fold::_{{closure}} (515 samples, 91.31%)</title><rect x="6.9149%" y="517" width="91.3121%" height="15" fill="rgb(219,207,3)" fg:x="39" fg:w="515"/><text x="7.1649%" y="527.50">core::iter::adapters::map::map_fold::_{{closure}}</text></g><g><title>bachelorarbeit::main::_{{closure}} (515 samples, 91.31%)</title><rect x="6.9149%" y="501" width="91.3121%" height="15" fill="rgb(222,56,46)" fg:x="39" fg:w="515"/><text x="7.1649%" y="511.50">bachelorarbeit::main::_{{closure}}</text></g><g><title>bachelorarbeit::calc::phi0 (515 samples, 91.31%)</title><rect x="6.9149%" y="485" width="91.3121%" height="15" fill="rgb(239,76,54)" fg:x="39" fg:w="515"/><text x="7.1649%" y="495.50">bachelorarbeit::calc::phi0</text></g><g><title>bachelorarbeit::calc::phi0 (3 samples, 0.53%)</title><rect x="97.6950%" y="469" width="0.5319%" height="15" fill="rgb(231,124,27)" fg:x="551" fg:w="3"/><text x="97.9450%" y="479.50"></text></g><g><title>__libc_start_main_impl (517 samples, 91.67%)</title><rect x="6.7376%" y="789" width="91.6667%" height="15" fill="rgb(249,195,6)" fg:x="38" 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fg:w="1"/><text x="98.4770%" y="623.50"></text></g><g><title>core::ptr::drop_in_place&lt;hashbrown::raw::RawTable&lt;(u32,(alloc::rc::Rc&lt;[f64]&gt;,alloc::rc::Rc&lt;[f64]&gt;))&gt;&gt; (1 samples, 0.18%)</title><rect x="98.2270%" y="597" width="0.1773%" height="15" fill="rgb(246,89,9)" fg:x="554" fg:w="1"/><text x="98.4770%" y="607.50"></text></g><g><title>&lt;hashbrown::raw::RawTable&lt;T,A&gt; as core::ops::drop::Drop&gt;::drop (1 samples, 0.18%)</title><rect x="98.2270%" y="581" width="0.1773%" height="15" fill="rgb(233,213,13)" fg:x="554" fg:w="1"/><text x="98.4770%" y="591.50"></text></g><g><title>hashbrown::raw::RawTableInner::drop_inner_table (1 samples, 0.18%)</title><rect x="98.2270%" y="565" width="0.1773%" height="15" fill="rgb(233,141,41)" fg:x="554" fg:w="1"/><text x="98.4770%" y="575.50"></text></g><g><title>hashbrown::raw::RawTableInner::drop_elements (1 samples, 0.18%)</title><rect x="98.2270%" y="549" width="0.1773%" height="15" fill="rgb(239,167,4)" fg:x="554" 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x="98.4770%" y="495.50"></text></g><g><title>core::ptr::drop_in_place&lt;alloc::rc::Rc&lt;[f64]&gt;&gt; (1 samples, 0.18%)</title><rect x="98.2270%" y="469" width="0.1773%" height="15" fill="rgb(252,106,19)" fg:x="554" fg:w="1"/><text x="98.4770%" y="479.50"></text></g><g><title>&lt;alloc::rc::Rc&lt;T,A&gt; as core::ops::drop::Drop&gt;::drop (1 samples, 0.18%)</title><rect x="98.2270%" y="453" width="0.1773%" height="15" fill="rgb(206,74,20)" fg:x="554" fg:w="1"/><text x="98.4770%" y="463.50"></text></g><g><title>&lt;alloc::alloc::Global as core::alloc::Allocator&gt;::deallocate (1 samples, 0.18%)</title><rect x="98.2270%" y="437" width="0.1773%" height="15" fill="rgb(230,138,44)" fg:x="554" fg:w="1"/><text x="98.4770%" y="447.50"></text></g><g><title>alloc::alloc::dealloc (1 samples, 0.18%)</title><rect x="98.2270%" y="421" width="0.1773%" height="15" fill="rgb(235,182,43)" fg:x="554" fg:w="1"/><text x="98.4770%" y="431.50"></text></g><g><title>__GI___libc_free (1 samples, 0.18%)</title><rect x="98.2270%" y="405" width="0.1773%" height="15" fill="rgb(242,16,51)" fg:x="554" fg:w="1"/><text x="98.4770%" y="415.50"></text></g><g><title>__GI___munmap (1 samples, 0.18%)</title><rect x="98.2270%" y="389" width="0.1773%" height="15" fill="rgb(248,9,4)" fg:x="554" fg:w="1"/><text x="98.4770%" y="399.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="98.2270%" y="373" width="0.1773%" height="15" fill="rgb(210,31,22)" fg:x="554" fg:w="1"/><text x="98.4770%" y="383.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="98.2270%" y="357" width="0.1773%" height="15" fill="rgb(239,54,39)" fg:x="554" fg:w="1"/><text x="98.4770%" y="367.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="98.2270%" y="341" width="0.1773%" height="15" fill="rgb(230,99,41)" fg:x="554" fg:w="1"/><text x="98.4770%" y="351.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="98.2270%" y="325" width="0.1773%" height="15" fill="rgb(253,106,12)" fg:x="554" fg:w="1"/><text x="98.4770%" y="335.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="98.2270%" y="309" width="0.1773%" height="15" fill="rgb(213,46,41)" fg:x="554" fg:w="1"/><text x="98.4770%" y="319.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="98.2270%" y="293" width="0.1773%" height="15" fill="rgb(215,133,35)" fg:x="554" fg:w="1"/><text x="98.4770%" y="303.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="98.2270%" y="277" width="0.1773%" height="15" fill="rgb(213,28,5)" fg:x="554" fg:w="1"/><text x="98.4770%" y="287.50"></text></g><g><title>[unknown] (1 samples, 0.18%)</title><rect x="98.2270%" y="261" width="0.1773%" height="15" fill="rgb(215,77,49)" fg:x="554" fg:w="1"/><text x="98.4770%" y="271.50"></text></g><g><title>_start (518 samples, 91.84%)</title><rect x="6.7376%" y="805" width="91.8440%" height="15" fill="rgb(248,100,22)" fg:x="38" fg:w="518"/><text x="6.9876%" y="815.50">_start</text></g><g><title>_dl_start (1 samples, 0.18%)</title><rect x="98.4043%" y="789" width="0.1773%" height="15" fill="rgb(208,67,9)" fg:x="555" fg:w="1"/><text x="98.6543%" y="799.50"></text></g><g><title>_dl_start_final (1 samples, 0.18%)</title><rect x="98.4043%" y="773" width="0.1773%" height="15" fill="rgb(219,133,21)" fg:x="555" fg:w="1"/><text x="98.6543%" y="783.50"></text></g><g><title>_dl_sysdep_start (1 samples, 0.18%)</title><rect x="98.4043%" y="757" width="0.1773%" height="15" fill="rgb(246,46,29)" fg:x="555" fg:w="1"/><text x="98.6543%" y="767.50"></text></g><g><title>dl_main (1 samples, 0.18%)</title><rect x="98.4043%" y="741" width="0.1773%" height="15" fill="rgb(246,185,52)" fg:x="555" fg:w="1"/><text x="98.6543%" y="751.50"></text></g><g><title>_dl_map_object_deps (1 samples, 0.18%)</title><rect x="98.4043%" y="725" width="0.1773%" height="15" fill="rgb(252,136,11)" fg:x="555" fg:w="1"/><text x="98.6543%" y="735.50"></text></g><g><title>_dl_catch_exception (1 samples, 0.18%)</title><rect x="98.4043%" y="709" width="0.1773%" height="15" fill="rgb(219,138,53)" fg:x="555" fg:w="1"/><text x="98.6543%" y="719.50"></text></g><g><title>openaux (1 samples, 0.18%)</title><rect x="98.4043%" y="693" width="0.1773%" height="15" fill="rgb(211,51,23)" fg:x="555" fg:w="1"/><text x="98.6543%" y="703.50"></text></g><g><title>_dl_map_object (1 samples, 0.18%)</title><rect x="98.4043%" y="677" width="0.1773%" height="15" fill="rgb(247,221,28)" fg:x="555" fg:w="1"/><text x="98.6543%" y="687.50"></text></g><g><title>_dl_load_cache_lookup (1 samples, 0.18%)</title><rect x="98.4043%" y="661" width="0.1773%" height="15" fill="rgb(251,222,45)" fg:x="555" fg:w="1"/><text x="98.6543%" y="671.50"></text></g><g><title>search_cache (1 samples, 0.18%)</title><rect x="98.4043%" y="645" width="0.1773%" height="15" fill="rgb(217,162,53)" fg:x="555" fg:w="1"/><text x="98.6543%" y="655.50"></text></g><g><title>__cos_fma (1 samples, 0.18%)</title><rect x="98.5816%" y="789" width="0.1773%" height="15" fill="rgb(229,93,14)" fg:x="556" fg:w="1"/><text x="98.8316%" y="799.50"></text></g><g><title>bachelorarbeit (559 samples, 99.11%)</title><rect x="0.0000%" y="821" width="99.1135%" height="15" fill="rgb(209,67,49)" fg:x="0" fg:w="559"/><text x="0.2500%" y="831.50">bachelorarbeit</text></g><g><title>main_arena (3 samples, 0.53%)</title><rect x="98.5816%" y="805" width="0.5319%" height="15" fill="rgb(213,87,29)" fg:x="556" fg:w="3"/><text x="98.8316%" y="815.50"></text></g><g><title>__tan_fma (2 samples, 0.35%)</title><rect x="98.7589%" y="789" width="0.3546%" height="15" fill="rgb(205,151,52)" fg:x="557" fg:w="2"/><text x="99.0089%" y="799.50"></text></g><g><title>all (564 samples, 100%)</title><rect x="0.0000%" y="837" width="100.0000%" height="15" fill="rgb(253,215,39)" fg:x="0" fg:w="564"/><text x="0.2500%" y="847.50"></text></g><g><title>perf-exec (5 samples, 0.89%)</title><rect x="99.1135%" y="821" width="0.8865%" height="15" fill="rgb(221,220,41)" fg:x="559" fg:w="5"/><text x="99.3635%" y="831.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="805" width="0.8865%" height="15" fill="rgb(218,133,21)" fg:x="559" fg:w="5"/><text x="99.3635%" y="815.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="789" width="0.8865%" height="15" fill="rgb(221,193,43)" fg:x="559" fg:w="5"/><text x="99.3635%" y="799.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="773" width="0.8865%" height="15" fill="rgb(240,128,52)" fg:x="559" fg:w="5"/><text x="99.3635%" y="783.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="757" width="0.8865%" height="15" fill="rgb(253,114,12)" fg:x="559" fg:w="5"/><text x="99.3635%" y="767.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="741" width="0.8865%" height="15" fill="rgb(215,223,47)" fg:x="559" fg:w="5"/><text x="99.3635%" y="751.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="725" width="0.8865%" height="15" fill="rgb(248,225,23)" fg:x="559" fg:w="5"/><text x="99.3635%" y="735.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="709" width="0.8865%" height="15" fill="rgb(250,108,0)" fg:x="559" fg:w="5"/><text x="99.3635%" y="719.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="693" width="0.8865%" height="15" fill="rgb(228,208,7)" fg:x="559" fg:w="5"/><text x="99.3635%" y="703.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="677" width="0.8865%" height="15" fill="rgb(244,45,10)" fg:x="559" fg:w="5"/><text x="99.3635%" y="687.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="661" width="0.8865%" height="15" fill="rgb(207,125,25)" fg:x="559" fg:w="5"/><text x="99.3635%" y="671.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="645" width="0.8865%" height="15" fill="rgb(210,195,18)" fg:x="559" fg:w="5"/><text x="99.3635%" y="655.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="629" width="0.8865%" height="15" fill="rgb(249,80,12)" fg:x="559" fg:w="5"/><text x="99.3635%" y="639.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="613" width="0.8865%" height="15" fill="rgb(221,65,9)" fg:x="559" fg:w="5"/><text x="99.3635%" y="623.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="597" width="0.8865%" height="15" fill="rgb(235,49,36)" fg:x="559" fg:w="5"/><text x="99.3635%" y="607.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="581" width="0.8865%" height="15" fill="rgb(225,32,20)" fg:x="559" fg:w="5"/><text x="99.3635%" y="591.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="565" width="0.8865%" height="15" fill="rgb(215,141,46)" fg:x="559" fg:w="5"/><text x="99.3635%" y="575.50"></text></g><g><title>[unknown] (5 samples, 0.89%)</title><rect x="99.1135%" y="549" width="0.8865%" height="15" fill="rgb(250,160,47)" fg:x="559" fg:w="5"/><text x="99.3635%" y="559.50"></text></g></svg></svg>
\ No newline at end of file
diff --git a/bachelorarbeit/flamegraph_btreemap.svg b/bachelorarbeit/flamegraph_btreemap.svg
new file mode 100644
index 0000000..da6619e
--- /dev/null
+++ b/bachelorarbeit/flamegraph_btreemap.svg
@@ -0,0 +1,491 @@
+<?xml version="1.0" standalone="no"?><!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg version="1.1" width="1200" height="774" onload="init(evt)" viewBox="0 0 1200 774" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:fg="http://github.com/jonhoo/inferno"><!--Flame graph stack visualization. See https://github.com/brendangregg/FlameGraph for latest version, and http://www.brendangregg.com/flamegraphs.html for examples.--><!--NOTES: --><defs><linearGradient id="background" y1="0" y2="1" x1="0" x2="0"><stop stop-color="#eeeeee" offset="5%"/><stop stop-color="#eeeeb0" offset="95%"/></linearGradient></defs><style type="text/css">
+text { font-family:monospace; font-size:12px }
+#title { text-anchor:middle; font-size:17px; }
+#matched { text-anchor:end; }
+#search { text-anchor:end; opacity:0.1; cursor:pointer; }
+#search:hover, #search.show { opacity:1; }
+#subtitle { text-anchor:middle; font-color:rgb(160,160,160); }
+#unzoom { cursor:pointer; }
+#frames > *:hover { stroke:black; stroke-width:0.5; cursor:pointer; }
+.hide { display:none; }
+.parent { opacity:0.5; }
+</style><script type="text/ecmascript"><![CDATA[
+        var nametype = 'Function:';
+        var fontsize = 12;
+        var fontwidth = 0.59;
+        var xpad = 10;
+        var inverted = false;
+        var searchcolor = 'rgb(230,0,230)';
+        var fluiddrawing = true;
+        var truncate_text_right = false;
+    ]]><![CDATA["use strict";
+var details, searchbtn, unzoombtn, matchedtxt, svg, searching, frames, known_font_width;
+function init(evt) {
+    details = document.getElementById("details").firstChild;
+    searchbtn = document.getElementById("search");
+    unzoombtn = document.getElementById("unzoom");
+    matchedtxt = document.getElementById("matched");
+    svg = document.getElementsByTagName("svg")[0];
+    frames = document.getElementById("frames");
+    known_font_width = get_monospace_width(frames);
+    total_samples = parseInt(frames.attributes.total_samples.value);
+    searching = 0;
+
+    // Use GET parameters to restore a flamegraph's state.
+    var restore_state = function() {
+        var params = get_params();
+        if (params.x && params.y)
+            zoom(find_group(document.querySelector('[*|x="' + params.x + '"][y="' + params.y + '"]')));
+        if (params.s)
+            search(params.s);
+    };
+
+    if (fluiddrawing) {
+        // Make width dynamic so the SVG fits its parent's width.
+        svg.removeAttribute("width");
+        // Edge requires us to have a viewBox that gets updated with size changes.
+        var isEdge = /Edge\/\d./i.test(navigator.userAgent);
+        if (!isEdge) {
+            svg.removeAttribute("viewBox");
+        }
+        var update_for_width_change = function() {
+            if (isEdge) {
+                svg.attributes.viewBox.value = "0 0 " + svg.width.baseVal.value + " " + svg.height.baseVal.value;
+            }
+
+            // Keep consistent padding on left and right of frames container.
+            frames.attributes.width.value = svg.width.baseVal.value - xpad * 2;
+
+            // Text truncation needs to be adjusted for the current width.
+            update_text_for_elements(frames.children);
+
+            // Keep search elements at a fixed distance from right edge.
+            var svgWidth = svg.width.baseVal.value;
+            searchbtn.attributes.x.value = svgWidth - xpad;
+            matchedtxt.attributes.x.value = svgWidth - xpad;
+        };
+        window.addEventListener('resize', function() {
+            update_for_width_change();
+        });
+        // This needs to be done asynchronously for Safari to work.
+        setTimeout(function() {
+            unzoom();
+            update_for_width_change();
+            restore_state();
+        }, 0);
+    } else {
+        restore_state();
+    }
+}
+// event listeners
+window.addEventListener("click", function(e) {
+    var target = find_group(e.target);
+    if (target) {
+        if (target.nodeName == "a") {
+            if (e.ctrlKey === false) return;
+            e.preventDefault();
+        }
+        if (target.classList.contains("parent")) unzoom();
+        zoom(target);
+
+        // set parameters for zoom state
+        var el = target.querySelector("rect");
+        if (el && el.attributes && el.attributes.y && el.attributes["fg:x"]) {
+            var params = get_params()
+            params.x = el.attributes["fg:x"].value;
+            params.y = el.attributes.y.value;
+            history.replaceState(null, null, parse_params(params));
+        }
+    }
+    else if (e.target.id == "unzoom") {
+        unzoom();
+
+        // remove zoom state
+        var params = get_params();
+        if (params.x) delete params.x;
+        if (params.y) delete params.y;
+        history.replaceState(null, null, parse_params(params));
+    }
+    else if (e.target.id == "search") search_prompt();
+}, false)
+// mouse-over for info
+// show
+window.addEventListener("mouseover", function(e) {
+    var target = find_group(e.target);
+    if (target) details.nodeValue = nametype + " " + g_to_text(target);
+}, false)
+// clear
+window.addEventListener("mouseout", function(e) {
+    var target = find_group(e.target);
+    if (target) details.nodeValue = ' ';
+}, false)
+// ctrl-F for search
+window.addEventListener("keydown",function (e) {
+    if (e.keyCode === 114 || (e.ctrlKey && e.keyCode === 70)) {
+        e.preventDefault();
+        search_prompt();
+    }
+}, false)
+// functions
+function get_params() {
+    var params = {};
+    var paramsarr = window.location.search.substr(1).split('&');
+    for (var i = 0; i < paramsarr.length; ++i) {
+        var tmp = paramsarr[i].split("=");
+        if (!tmp[0] || !tmp[1]) continue;
+        params[tmp[0]]  = decodeURIComponent(tmp[1]);
+    }
+    return params;
+}
+function parse_params(params) {
+    var uri = "?";
+    for (var key in params) {
+        uri += key + '=' + encodeURIComponent(params[key]) + '&';
+    }
+    if (uri.slice(-1) == "&")
+        uri = uri.substring(0, uri.length - 1);
+    if (uri == '?')
+        uri = window.location.href.split('?')[0];
+    return uri;
+}
+function find_child(node, selector) {
+    var children = node.querySelectorAll(selector);
+    if (children.length) return children[0];
+    return;
+}
+function find_group(node) {
+    var parent = node.parentElement;
+    if (!parent) return;
+    if (parent.id == "frames") return node;
+    return find_group(parent);
+}
+function orig_save(e, attr, val) {
+    if (e.attributes["fg:orig_" + attr] != undefined) return;
+    if (e.attributes[attr] == undefined) return;
+    if (val == undefined) val = e.attributes[attr].value;
+    e.setAttribute("fg:orig_" + attr, val);
+}
+function orig_load(e, attr) {
+    if (e.attributes["fg:orig_"+attr] == undefined) return;
+    e.attributes[attr].value = e.attributes["fg:orig_" + attr].value;
+    e.removeAttribute("fg:orig_" + attr);
+}
+function g_to_text(e) {
+    var text = find_child(e, "title").firstChild.nodeValue;
+    return (text)
+}
+function g_to_func(e) {
+    var func = g_to_text(e);
+    // if there's any manipulation we want to do to the function
+    // name before it's searched, do it here before returning.
+    return (func);
+}
+function get_monospace_width(frames) {
+    // Given the id="frames" element, return the width of text characters if
+    // this is a monospace font, otherwise return 0.
+    text = find_child(frames.children[0], "text");
+    originalContent = text.textContent;
+    text.textContent = "!";
+    bangWidth = text.getComputedTextLength();
+    text.textContent = "W";
+    wWidth = text.getComputedTextLength();
+    text.textContent = originalContent;
+    if (bangWidth === wWidth) {
+        return bangWidth;
+    } else {
+        return 0;
+    }
+}
+function update_text_for_elements(elements) {
+    // In order to render quickly in the browser, you want to do one pass of
+    // reading attributes, and one pass of mutating attributes. See
+    // https://web.dev/avoid-large-complex-layouts-and-layout-thrashing/ for details.
+
+    // Fall back to inefficient calculation, if we're variable-width font.
+    // TODO This should be optimized somehow too.
+    if (known_font_width === 0) {
+        for (var i = 0; i < elements.length; i++) {
+            update_text(elements[i]);
+        }
+        return;
+    }
+
+    var textElemNewAttributes = [];
+    for (var i = 0; i < elements.length; i++) {
+        var e = elements[i];
+        var r = find_child(e, "rect");
+        var t = find_child(e, "text");
+        var w = parseFloat(r.attributes.width.value) * frames.attributes.width.value / 100 - 3;
+        var txt = find_child(e, "title").textContent.replace(/\([^(]*\)$/,"");
+        var newX = format_percent((parseFloat(r.attributes.x.value) + (100 * 3 / frames.attributes.width.value)));
+
+        // Smaller than this size won't fit anything
+        if (w < 2 * known_font_width) {
+            textElemNewAttributes.push([newX, ""]);
+            continue;
+        }
+
+        // Fit in full text width
+        if (txt.length * known_font_width < w) {
+            textElemNewAttributes.push([newX, txt]);
+            continue;
+        }
+
+        var substringLength = Math.floor(w / known_font_width) - 2;
+        if (truncate_text_right) {
+            // Truncate the right side of the text.
+            textElemNewAttributes.push([newX, txt.substring(0, substringLength) + ".."]);
+            continue;
+        } else {
+            // Truncate the left side of the text.
+            textElemNewAttributes.push([newX, ".." + txt.substring(txt.length - substringLength, txt.length)]);
+            continue;
+        }
+    }
+
+    console.assert(textElemNewAttributes.length === elements.length, "Resize failed, please file a bug at https://github.com/jonhoo/inferno/");
+
+    // Now that we know new textContent, set it all in one go so we don't refresh a bazillion times.
+    for (var i = 0; i < elements.length; i++) {
+        var e = elements[i];
+        var values = textElemNewAttributes[i];
+        var t = find_child(e, "text");
+        t.attributes.x.value = values[0];
+        t.textContent = values[1];
+    }
+}
+
+function update_text(e) {
+    var r = find_child(e, "rect");
+    var t = find_child(e, "text");
+    var w = parseFloat(r.attributes.width.value) * frames.attributes.width.value / 100 - 3;
+    var txt = find_child(e, "title").textContent.replace(/\([^(]*\)$/,"");
+    t.attributes.x.value = format_percent((parseFloat(r.attributes.x.value) + (100 * 3 / frames.attributes.width.value)));
+
+    // Smaller than this size won't fit anything
+    if (w < 2 * fontsize * fontwidth) {
+        t.textContent = "";
+        return;
+    }
+    t.textContent = txt;
+    // Fit in full text width
+    if (t.getComputedTextLength() < w)
+        return;
+    if (truncate_text_right) {
+        // Truncate the right side of the text.
+        for (var x = txt.length - 2; x > 0; x--) {
+            if (t.getSubStringLength(0, x + 2) <= w) {
+                t.textContent = txt.substring(0, x) + "..";
+                return;
+            }
+        }
+    } else {
+        // Truncate the left side of the text.
+        for (var x = 2; x < txt.length; x++) {
+            if (t.getSubStringLength(x - 2, txt.length) <= w) {
+                t.textContent = ".." + txt.substring(x, txt.length);
+                return;
+            }
+        }
+    }
+    t.textContent = "";
+}
+// zoom
+function zoom_reset(e) {
+    if (e.tagName == "rect") {
+        e.attributes.x.value = format_percent(100 * parseInt(e.attributes["fg:x"].value) / total_samples);
+        e.attributes.width.value = format_percent(100 * parseInt(e.attributes["fg:w"].value) / total_samples);
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_reset(c[i]);
+    }
+}
+function zoom_child(e, x, zoomed_width_samples) {
+    if (e.tagName == "text") {
+        var parent_x = parseFloat(find_child(e.parentNode, "rect[x]").attributes.x.value);
+        e.attributes.x.value = format_percent(parent_x + (100 * 3 / frames.attributes.width.value));
+    } else if (e.tagName == "rect") {
+        e.attributes.x.value = format_percent(100 * (parseInt(e.attributes["fg:x"].value) - x) / zoomed_width_samples);
+        e.attributes.width.value = format_percent(100 * parseInt(e.attributes["fg:w"].value) / zoomed_width_samples);
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_child(c[i], x, zoomed_width_samples);
+    }
+}
+function zoom_parent(e) {
+    if (e.attributes) {
+        if (e.attributes.x != undefined) {
+            e.attributes.x.value = "0.0%";
+        }
+        if (e.attributes.width != undefined) {
+            e.attributes.width.value = "100.0%";
+        }
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_parent(c[i]);
+    }
+}
+function zoom(node) {
+    var attr = find_child(node, "rect").attributes;
+    var width = parseInt(attr["fg:w"].value);
+    var xmin = parseInt(attr["fg:x"].value);
+    var xmax = xmin + width;
+    var ymin = parseFloat(attr.y.value);
+    unzoombtn.classList.remove("hide");
+    var el = frames.children;
+    var to_update_text = [];
+    for (var i = 0; i < el.length; i++) {
+        var e = el[i];
+        var a = find_child(e, "rect").attributes;
+        var ex = parseInt(a["fg:x"].value);
+        var ew = parseInt(a["fg:w"].value);
+        // Is it an ancestor
+        if (!inverted) {
+            var upstack = parseFloat(a.y.value) > ymin;
+        } else {
+            var upstack = parseFloat(a.y.value) < ymin;
+        }
+        if (upstack) {
+            // Direct ancestor
+            if (ex <= xmin && (ex+ew) >= xmax) {
+                e.classList.add("parent");
+                zoom_parent(e);
+                to_update_text.push(e);
+            }
+            // not in current path
+            else
+                e.classList.add("hide");
+        }
+        // Children maybe
+        else {
+            // no common path
+            if (ex < xmin || ex >= xmax) {
+                e.classList.add("hide");
+            }
+            else {
+                zoom_child(e, xmin, width);
+                to_update_text.push(e);
+            }
+        }
+    }
+    update_text_for_elements(to_update_text);
+}
+function unzoom() {
+    unzoombtn.classList.add("hide");
+    var el = frames.children;
+    for(var i = 0; i < el.length; i++) {
+        el[i].classList.remove("parent");
+        el[i].classList.remove("hide");
+        zoom_reset(el[i]);
+    }
+    update_text_for_elements(el);
+}
+// search
+function reset_search() {
+    var el = document.querySelectorAll("#frames rect");
+    for (var i = 0; i < el.length; i++) {
+        orig_load(el[i], "fill")
+    }
+    var params = get_params();
+    delete params.s;
+    history.replaceState(null, null, parse_params(params));
+}
+function search_prompt() {
+    if (!searching) {
+        var term = prompt("Enter a search term (regexp " +
+            "allowed, eg: ^ext4_)", "");
+        if (term != null) {
+            search(term)
+        }
+    } else {
+        reset_search();
+        searching = 0;
+        searchbtn.classList.remove("show");
+        searchbtn.firstChild.nodeValue = "Search"
+        matchedtxt.classList.add("hide");
+        matchedtxt.firstChild.nodeValue = ""
+    }
+}
+function search(term) {
+    var re = new RegExp(term);
+    var el = frames.children;
+    var matches = new Object();
+    var maxwidth = 0;
+    for (var i = 0; i < el.length; i++) {
+        var e = el[i];
+        // Skip over frames which are either not visible, or below the zoomed-to frame
+        if (e.classList.contains("hide") || e.classList.contains("parent")) {
+            continue;
+        }
+        var func = g_to_func(e);
+        var rect = find_child(e, "rect");
+        if (func == null || rect == null)
+            continue;
+        // Save max width. Only works as we have a root frame
+        var w = parseInt(rect.attributes["fg:w"].value);
+        if (w > maxwidth)
+            maxwidth = w;
+        if (func.match(re)) {
+            // highlight
+            var x = parseInt(rect.attributes["fg:x"].value);
+            orig_save(rect, "fill");
+            rect.attributes.fill.value = searchcolor;
+            // remember matches
+            if (matches[x] == undefined) {
+                matches[x] = w;
+            } else {
+                if (w > matches[x]) {
+                    // overwrite with parent
+                    matches[x] = w;
+                }
+            }
+            searching = 1;
+        }
+    }
+    if (!searching)
+        return;
+    var params = get_params();
+    params.s = term;
+    history.replaceState(null, null, parse_params(params));
+
+    searchbtn.classList.add("show");
+    searchbtn.firstChild.nodeValue = "Reset Search";
+    // calculate percent matched, excluding vertical overlap
+    var count = 0;
+    var lastx = -1;
+    var lastw = 0;
+    var keys = Array();
+    for (k in matches) {
+        if (matches.hasOwnProperty(k))
+            keys.push(k);
+    }
+    // sort the matched frames by their x location
+    // ascending, then width descending
+    keys.sort(function(a, b){
+        return a - b;
+    });
+    // Step through frames saving only the biggest bottom-up frames
+    // thanks to the sort order. This relies on the tree property
+    // where children are always smaller than their parents.
+    for (var k in keys) {
+        var x = parseInt(keys[k]);
+        var w = matches[keys[k]];
+        if (x >= lastx + lastw) {
+            count += w;
+            lastx = x;
+            lastw = w;
+        }
+    }
+    // display matched percent
+    matchedtxt.classList.remove("hide");
+    var pct = 100 * count / maxwidth;
+    if (pct != 100) pct = pct.toFixed(1);
+    matchedtxt.firstChild.nodeValue = "Matched: " + pct + "%";
+}
+function format_percent(n) {
+    return n.toFixed(4) + "%";
+}
+]]></script><rect x="0" y="0" width="100%" height="774" fill="url(#background)"/><text id="title" fill="rgb(0,0,0)" x="50.0000%" y="24.00">Flame Graph</text><text id="details" fill="rgb(0,0,0)" x="10" y="757.00"> </text><text id="unzoom" class="hide" fill="rgb(0,0,0)" x="10" y="24.00">Reset Zoom</text><text id="search" fill="rgb(0,0,0)" x="1190" y="24.00">Search</text><text id="matched" fill="rgb(0,0,0)" x="1190" y="757.00"> </text><svg id="frames" x="10" width="1180" total_samples="385"><g><title>__cos_fma (1 samples, 0.26%)</title><rect x="0.0000%" y="677" width="0.2597%" height="15" fill="rgb(227,0,7)" fg:x="0" fg:w="1"/><text x="0.2500%" y="687.50"></text></g><g><title>[[heap]] (2 samples, 0.52%)</title><rect x="0.0000%" y="693" width="0.5195%" height="15" fill="rgb(217,0,24)" fg:x="0" fg:w="2"/><text x="0.2500%" y="703.50"></text></g><g><title>bachelorarbeit::calc::omnes (1 samples, 0.26%)</title><rect x="0.2597%" y="677" width="0.2597%" height="15" fill="rgb(221,193,54)" 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height="15" fill="rgb(216,20,37)" fg:x="4" fg:w="1"/><text x="1.2890%" y="655.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="1.0390%" y="629" width="0.2597%" height="15" fill="rgb(206,188,39)" fg:x="4" fg:w="1"/><text x="1.2890%" y="639.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="1.0390%" y="613" width="0.2597%" height="15" fill="rgb(217,207,13)" fg:x="4" fg:w="1"/><text x="1.2890%" y="623.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="1.0390%" y="597" width="0.2597%" height="15" fill="rgb(231,73,38)" fg:x="4" fg:w="1"/><text x="1.2890%" y="607.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="1.0390%" y="581" width="0.2597%" height="15" fill="rgb(225,20,46)" fg:x="4" fg:w="1"/><text x="1.2890%" y="591.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="1.0390%" y="565" width="0.2597%" height="15" fill="rgb(210,31,41)" fg:x="4" fg:w="1"/><text x="1.2890%" 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y="223.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="16.8831%" y="197" width="0.2597%" height="15" fill="rgb(251,118,11)" fg:x="65" fg:w="1"/><text x="17.1331%" y="207.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="16.8831%" y="181" width="0.2597%" height="15" fill="rgb(217,147,25)" fg:x="65" fg:w="1"/><text x="17.1331%" y="191.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="16.8831%" y="165" width="0.2597%" height="15" fill="rgb(247,81,37)" fg:x="65" fg:w="1"/><text x="17.1331%" y="175.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="16.8831%" y="149" width="0.2597%" height="15" fill="rgb(209,12,38)" fg:x="65" fg:w="1"/><text x="17.1331%" y="159.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="16.8831%" y="133" width="0.2597%" height="15" fill="rgb(227,1,9)" fg:x="65" fg:w="1"/><text x="17.1331%" y="143.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="16.8831%" y="117" width="0.2597%" height="15" fill="rgb(248,47,43)" fg:x="65" fg:w="1"/><text x="17.1331%" y="127.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="16.8831%" y="101" width="0.2597%" height="15" fill="rgb(221,10,30)" fg:x="65" fg:w="1"/><text x="17.1331%" y="111.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="16.8831%" y="85" width="0.2597%" height="15" fill="rgb(210,229,1)" fg:x="65" fg:w="1"/><text x="17.1331%" y="95.50"></text></g><g><title>alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,Type&gt;::reborrow (1 samples, 0.26%)</title><rect x="18.7013%" y="277" width="0.2597%" height="15" fill="rgb(222,148,37)" fg:x="72" fg:w="1"/><text x="18.9513%" y="287.50"></text></g><g><title>bachelorarbeit::calc::omnes (1 samples, 0.26%)</title><rect x="18.9610%" y="213" width="0.2597%" height="15" fill="rgb(234,67,33)" fg:x="73" fg:w="1"/><text x="19.2110%" y="223.50"></text></g><g><title>alloc::collections::btree::node::Handle&lt;alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::Internal&gt;,alloc::collections::btree::node::marker::Edge&gt;::descend (2 samples, 0.52%)</title><rect x="18.9610%" y="261" width="0.5195%" height="15" fill="rgb(247,98,35)" fg:x="73" fg:w="2"/><text x="19.2110%" y="271.50"></text></g><g><title>core::mem::maybe_uninit::MaybeUninit&lt;T&gt;::assume_init_read (2 samples, 0.52%)</title><rect x="18.9610%" y="245" width="0.5195%" height="15" fill="rgb(247,138,52)" fg:x="73" fg:w="2"/><text x="19.2110%" y="255.50"></text></g><g><title>core::ptr::const_ptr::&lt;impl *const T&gt;::read (2 samples, 0.52%)</title><rect x="18.9610%" y="229" width="0.5195%" height="15" fill="rgb(213,79,30)" fg:x="73" fg:w="2"/><text x="19.2110%" y="239.50"></text></g><g><title>core::ptr::read (1 samples, 0.26%)</title><rect x="19.2208%" y="213" width="0.2597%" height="15" fill="rgb(246,177,23)" fg:x="74" fg:w="1"/><text x="19.4708%" y="223.50"></text></g><g><title>alloc::collections::btree::node::Handle&lt;alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::LeafOrInternal&gt;,Type&gt;::force (1 samples, 0.26%)</title><rect x="19.4805%" y="261" width="0.2597%" height="15" fill="rgb(230,62,27)" fg:x="75" fg:w="1"/><text x="19.7305%" y="271.50"></text></g><g><title>alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::LeafOrInternal&gt;::force (1 samples, 0.26%)</title><rect x="19.4805%" y="245" width="0.2597%" height="15" fill="rgb(216,154,8)" fg:x="75" fg:w="1"/><text x="19.7305%" y="255.50"></text></g><g><title>&lt;core::iter::adapters::enumerate::Enumerate&lt;I&gt; as core::iter::traits::iterator::Iterator&gt;::next (7 samples, 1.82%)</title><rect x="24.1558%" y="229" width="1.8182%" height="15" fill="rgb(244,35,45)" fg:x="93" fg:w="7"/><text x="24.4058%" 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fill="rgb(207,117,47)" fg:x="103" fg:w="3"/><text x="27.0032%" y="239.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="213" width="0.2597%" height="15" fill="rgb(249,43,39)" fg:x="105" fg:w="1"/><text x="27.5227%" y="223.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="197" width="0.2597%" height="15" fill="rgb(209,38,44)" fg:x="105" fg:w="1"/><text x="27.5227%" y="207.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="181" width="0.2597%" height="15" fill="rgb(236,212,23)" fg:x="105" fg:w="1"/><text x="27.5227%" y="191.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="165" width="0.2597%" height="15" fill="rgb(242,79,21)" fg:x="105" fg:w="1"/><text x="27.5227%" y="175.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="149" width="0.2597%" height="15" fill="rgb(211,96,35)" fg:x="105" fg:w="1"/><text x="27.5227%" y="159.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="133" width="0.2597%" height="15" fill="rgb(253,215,40)" fg:x="105" fg:w="1"/><text x="27.5227%" y="143.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="117" width="0.2597%" height="15" fill="rgb(211,81,21)" fg:x="105" fg:w="1"/><text x="27.5227%" y="127.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="101" width="0.2597%" height="15" fill="rgb(208,190,38)" fg:x="105" fg:w="1"/><text x="27.5227%" y="111.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="27.2727%" y="85" width="0.2597%" height="15" fill="rgb(235,213,38)" fg:x="105" fg:w="1"/><text x="27.5227%" y="95.50"></text></g><g><title>alloc::collections::btree::map::BTreeMap&lt;K,V,A&gt;::get (56 samples, 14.55%)</title><rect x="18.7013%" y="293" width="14.5455%" height="15" fill="rgb(237,122,38)" fg:x="72" fg:w="56"/><text x="18.9513%" y="303.50">alloc::collections::bt..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::LeafOrInternal&gt;&gt;::search_tree (55 samples, 14.29%)</title><rect x="18.9610%" y="277" width="14.2857%" height="15" fill="rgb(244,218,35)" fg:x="73" fg:w="55"/><text x="19.2110%" y="287.50">alloc::collections::bt..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,Type&gt;&gt;::search_node (52 samples, 13.51%)</title><rect x="19.7403%" y="261" width="13.5065%" height="15" fill="rgb(240,68,47)" fg:x="76" fg:w="52"/><text x="19.9903%" y="271.50">alloc::collections::..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,Type&gt;&gt;::find_key_index (52 samples, 13.51%)</title><rect x="19.7403%" y="245" width="13.5065%" height="15" fill="rgb(210,16,53)" fg:x="76" fg:w="52"/><text x="19.9903%" y="255.50">alloc::collections::..</text></g><g><title>core::cmp::impls::&lt;impl core::cmp::Ord for u64&gt;::cmp (22 samples, 5.71%)</title><rect x="27.5325%" y="229" width="5.7143%" height="15" fill="rgb(235,124,12)" fg:x="106" fg:w="22"/><text x="27.7825%" y="239.50">core::c..</text></g><g><title>&lt;num_complex::Complex&lt;T&gt; as core::ops::arith::Mul&lt;T&gt;&gt;::mul (1 samples, 0.26%)</title><rect x="34.8052%" y="245" width="0.2597%" height="15" fill="rgb(224,169,11)" fg:x="134" fg:w="1"/><text x="35.0552%" y="255.50"></text></g><g><title>&lt;f64 as core::ops::arith::Mul&gt;::mul (1 samples, 0.26%)</title><rect x="34.8052%" y="229" width="0.2597%" height="15" fill="rgb(250,166,2)" fg:x="134" fg:w="1"/><text x="35.0552%" y="239.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (2 samples, 0.52%)</title><rect x="35.5844%" y="149" width="0.5195%" height="15" fill="rgb(242,216,29)" fg:x="137" fg:w="2"/><text x="35.8344%" y="159.50"></text></g><g><title>alloc::collections::btree::node::Handle&lt;alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::Internal&gt;,alloc::collections::btree::node::marker::Edge&gt;::descend (4 samples, 1.04%)</title><rect x="35.5844%" y="197" width="1.0390%" height="15" fill="rgb(230,116,27)" fg:x="137" fg:w="4"/><text x="35.8344%" y="207.50"></text></g><g><title>core::mem::maybe_uninit::MaybeUninit&lt;T&gt;::assume_init_read (4 samples, 1.04%)</title><rect x="35.5844%" y="181" width="1.0390%" height="15" fill="rgb(228,99,48)" fg:x="137" fg:w="4"/><text x="35.8344%" y="191.50"></text></g><g><title>core::ptr::const_ptr::&lt;impl *const T&gt;::read (4 samples, 1.04%)</title><rect x="35.5844%" y="165" width="1.0390%" height="15" fill="rgb(253,11,6)" fg:x="137" fg:w="4"/><text x="35.8344%" y="175.50"></text></g><g><title>core::ptr::read (2 samples, 0.52%)</title><rect x="36.1039%" y="149" width="0.5195%" height="15" fill="rgb(247,143,39)" fg:x="139" fg:w="2"/><text x="36.3539%" y="159.50"></text></g><g><title>alloc::collections::btree::node::Handle&lt;alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::LeafOrInternal&gt;,Type&gt;::force (5 samples, 1.30%)</title><rect x="36.6234%" y="197" width="1.2987%" height="15" fill="rgb(236,97,10)" fg:x="141" fg:w="5"/><text x="36.8734%" y="207.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (5 samples, 1.30%)</title><rect x="36.6234%" y="181" width="1.2987%" height="15" fill="rgb(233,208,19)" fg:x="141" fg:w="5"/><text x="36.8734%" y="191.50"></text></g><g><title>&lt;core::iter::adapters::enumerate::Enumerate&lt;I&gt; as core::iter::traits::iterator::Iterator&gt;::next (9 samples, 2.34%)</title><rect x="41.0390%" y="165" width="2.3377%" height="15" fill="rgb(216,164,2)" fg:x="158" fg:w="9"/><text x="41.2890%" y="175.50">&lt;..</text></g><g><title>&lt;core::slice::iter::Iter&lt;T&gt; as core::iter::traits::iterator::Iterator&gt;::next (9 samples, 2.34%)</title><rect x="41.0390%" y="149" width="2.3377%" height="15" fill="rgb(220,129,5)" fg:x="158" fg:w="9"/><text x="41.2890%" y="159.50">&lt;..</text></g><g><title>&lt;core::ptr::non_null::NonNull&lt;T&gt; as core::cmp::PartialEq&gt;::eq (8 samples, 2.08%)</title><rect x="41.2987%" y="133" width="2.0779%" height="15" fill="rgb(242,17,10)" fg:x="159" fg:w="8"/><text x="41.5487%" y="143.50">&lt;..</text></g><g><title>alloc::collections::btree::node::NodeRef&lt;alloc::collections::btree::node::marker::Immut,K,V,Type&gt;::keys (1 samples, 0.26%)</title><rect x="43.3766%" y="165" width="0.2597%" height="15" fill="rgb(242,107,0)" fg:x="167" fg:w="1"/><text x="43.6266%" y="175.50"></text></g><g><title>alloc::collections::btree::map::BTreeMap&lt;K,V,A&gt;::get (58 samples, 15.06%)</title><rect x="35.5844%" y="229" width="15.0649%" height="15" fill="rgb(251,28,31)" fg:x="137" fg:w="58"/><text x="35.8344%" y="239.50">alloc::collections::btr..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::LeafOrInternal&gt;&gt;::search_tree (58 samples, 15.06%)</title><rect x="35.5844%" y="213" width="15.0649%" height="15" fill="rgb(233,223,10)" fg:x="137" fg:w="58"/><text x="35.8344%" y="223.50">alloc::collections::btr..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,Type&gt;&gt;::search_node (49 samples, 12.73%)</title><rect x="37.9221%" y="197" width="12.7273%" height="15" fill="rgb(215,21,27)" fg:x="146" fg:w="49"/><text x="38.1721%" y="207.50">alloc::collections:..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,Type&gt;&gt;::find_key_index (49 samples, 12.73%)</title><rect x="37.9221%" y="181" width="12.7273%" height="15" fill="rgb(232,23,21)" fg:x="146" fg:w="49"/><text x="38.1721%" y="191.50">alloc::collections:..</text></g><g><title>core::cmp::impls::&lt;impl core::cmp::Ord for u64&gt;::cmp (27 samples, 7.01%)</title><rect x="43.6364%" y="165" width="7.0130%" height="15" fill="rgb(244,5,23)" fg:x="168" fg:w="27"/><text x="43.8864%" y="175.50">core::cmp..</text></g><g><title>bachelorarbeit::calc::delta_with_lut (61 samples, 15.84%)</title><rect x="35.0649%" y="245" width="15.8442%" height="15" fill="rgb(226,81,46)" fg:x="135" fg:w="61"/><text x="35.3149%" y="255.50">bachelorarbeit::calc::de..</text></g><g><title>core::f64::&lt;impl f64&gt;::to_bits (1 samples, 0.26%)</title><rect x="50.6494%" y="229" width="0.2597%" height="15" fill="rgb(247,70,30)" fg:x="195" fg:w="1"/><text x="50.8994%" y="239.50"></text></g><g><title>core::f64::&lt;impl f64&gt;::to_bits::rt_f64_to_u64 (1 samples, 0.26%)</title><rect x="50.6494%" y="213" width="0.2597%" height="15" fill="rgb(212,68,19)" fg:x="195" fg:w="1"/><text x="50.8994%" y="223.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Add&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::add (1 samples, 0.26%)</title><rect x="50.9091%" y="245" width="0.2597%" height="15" fill="rgb(240,187,13)" fg:x="196" fg:w="1"/><text x="51.1591%" y="255.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Div&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::div (7 samples, 1.82%)</title><rect x="51.1688%" y="245" width="1.8182%" height="15" fill="rgb(223,113,26)" fg:x="197" fg:w="7"/><text x="51.4188%" y="255.50">n..</text></g><g><title>num_complex::Complex&lt;T&gt;::norm_sqr (1 samples, 0.26%)</title><rect x="52.7273%" y="229" width="0.2597%" height="15" fill="rgb(206,192,2)" fg:x="203" fg:w="1"/><text x="52.9773%" y="239.50"></text></g><g><title>&lt;f64 as core::ops::arith::Add&gt;::add (1 samples, 0.26%)</title><rect x="52.7273%" y="213" width="0.2597%" height="15" fill="rgb(241,108,4)" fg:x="203" fg:w="1"/><text x="52.9773%" 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y="223.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::powi (1 samples, 0.26%)</title><rect x="56.3636%" y="245" width="0.2597%" height="15" fill="rgb(205,117,38)" fg:x="217" fg:w="1"/><text x="56.6136%" y="255.50"></text></g><g><title>bachelorarbeit::calc::omnes::_{{closure}} (102 samples, 26.49%)</title><rect x="33.7662%" y="277" width="26.4935%" height="15" fill="rgb(237,72,25)" fg:x="130" fg:w="102"/><text x="34.0162%" y="287.50">bachelorarbeit::calc::omnes::_{{closure}}</text></g><g><title>bachelorarbeit::calc::omnes_integrand (102 samples, 26.49%)</title><rect x="33.7662%" y="261" width="26.4935%" height="15" fill="rgb(244,70,9)" fg:x="130" fg:w="102"/><text x="34.0162%" y="271.50">bachelorarbeit::calc::omnes_integrand</text></g><g><title>std::f64::&lt;impl f64&gt;::tan (14 samples, 3.64%)</title><rect x="56.6234%" y="245" width="3.6364%" height="15" fill="rgb(217,125,39)" fg:x="218" fg:w="14"/><text x="56.8734%" y="255.50">std:..</text></g><g><title>__tan_fma (14 samples, 3.64%)</title><rect x="56.6234%" y="229" width="3.6364%" height="15" fill="rgb(235,36,10)" fg:x="218" fg:w="14"/><text x="56.8734%" y="239.50">__ta..</text></g><g><title>num_complex::&lt;impl core::ops::arith::Mul&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::mul (1 samples, 0.26%)</title><rect x="60.2597%" y="277" width="0.2597%" height="15" fill="rgb(251,123,47)" fg:x="232" fg:w="1"/><text x="60.5097%" y="287.50"></text></g><g><title>bachelorarbeit::calc::integrate_complex (106 samples, 27.53%)</title><rect x="33.2468%" y="293" width="27.5325%" height="15" fill="rgb(221,13,13)" fg:x="128" fg:w="106"/><text x="33.4968%" y="303.50">bachelorarbeit::calc::integrate_complex</text></g><g><title>num_complex::opassign::&lt;impl core::ops::arith::AddAssign for num_complex::Complex&lt;T&gt;&gt;::add_assign (1 samples, 0.26%)</title><rect x="60.5195%" y="277" width="0.2597%" height="15" fill="rgb(238,131,9)" fg:x="233" fg:w="1"/><text x="60.7695%" y="287.50"></text></g><g><title>&lt;f64 as core::ops::arith::AddAssign&gt;::add_assign (1 samples, 0.26%)</title><rect x="60.5195%" y="261" width="0.2597%" height="15" fill="rgb(211,50,8)" fg:x="233" fg:w="1"/><text x="60.7695%" y="271.50"></text></g><g><title>bachelorarbeit::calc::omnes (170 samples, 44.16%)</title><rect x="17.1429%" y="309" width="44.1558%" height="15" fill="rgb(245,182,24)" fg:x="66" fg:w="170"/><text x="17.3929%" y="319.50">bachelorarbeit::calc::omnes</text></g><g><title>bachelorarbeit::calc::omnes (2 samples, 0.52%)</title><rect x="60.7792%" y="293" width="0.5195%" height="15" fill="rgb(242,14,37)" fg:x="234" fg:w="2"/><text x="61.0292%" y="303.50"></text></g><g><title>do_cos (1 samples, 0.26%)</title><rect x="62.3377%" y="277" width="0.2597%" height="15" fill="rgb(246,228,12)" fg:x="240" fg:w="1"/><text x="62.5877%" y="287.50"></text></g><g><title>do_sin (2 samples, 0.52%)</title><rect x="62.5974%" y="277" width="0.5195%" height="15" fill="rgb(213,55,15)" fg:x="241" fg:w="2"/><text x="62.8474%" y="287.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::cos (8 samples, 2.08%)</title><rect x="61.2987%" y="309" width="2.0779%" height="15" fill="rgb(209,9,3)" fg:x="236" fg:w="8"/><text x="61.5487%" y="319.50">s..</text></g><g><title>__cos_fma (8 samples, 2.08%)</title><rect x="61.2987%" y="293" width="2.0779%" height="15" fill="rgb(230,59,30)" fg:x="236" fg:w="8"/><text x="61.5487%" y="303.50">_..</text></g><g><title>libc_feresetround_sse_ctx (1 samples, 0.26%)</title><rect x="63.1169%" y="277" width="0.2597%" height="15" fill="rgb(209,121,21)" fg:x="243" fg:w="1"/><text x="63.3669%" y="287.50"></text></g><g><title>__ieee754_log_fma (20 samples, 5.19%)</title><rect x="63.3766%" y="261" width="5.1948%" height="15" fill="rgb(220,109,13)" fg:x="244" fg:w="20"/><text x="63.6266%" y="271.50">__ieee..</text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="245" width="1.5584%" height="15" fill="rgb(232,18,1)" fg:x="258" fg:w="6"/><text x="67.2630%" y="255.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="229" width="1.5584%" height="15" fill="rgb(215,41,42)" fg:x="258" fg:w="6"/><text x="67.2630%" y="239.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="213" width="1.5584%" height="15" fill="rgb(224,123,36)" fg:x="258" fg:w="6"/><text x="67.2630%" y="223.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="197" width="1.5584%" height="15" fill="rgb(240,125,3)" fg:x="258" fg:w="6"/><text x="67.2630%" y="207.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="181" width="1.5584%" height="15" fill="rgb(205,98,50)" fg:x="258" fg:w="6"/><text x="67.2630%" y="191.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="165" width="1.5584%" height="15" fill="rgb(205,185,37)" fg:x="258" fg:w="6"/><text x="67.2630%" y="175.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="149" width="1.5584%" height="15" fill="rgb(238,207,15)" fg:x="258" fg:w="6"/><text x="67.2630%" y="159.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="133" width="1.5584%" height="15" fill="rgb(213,199,42)" fg:x="258" fg:w="6"/><text x="67.2630%" y="143.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="117" width="1.5584%" height="15" fill="rgb(235,201,11)" fg:x="258" fg:w="6"/><text x="67.2630%" y="127.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="101" width="1.5584%" height="15" fill="rgb(207,46,11)" fg:x="258" fg:w="6"/><text x="67.2630%" y="111.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="85" width="1.5584%" height="15" fill="rgb(241,35,35)" fg:x="258" fg:w="6"/><text x="67.2630%" y="95.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="69" width="1.5584%" height="15" fill="rgb(243,32,47)" fg:x="258" fg:w="6"/><text x="67.2630%" y="79.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="53" width="1.5584%" height="15" fill="rgb(247,202,23)" fg:x="258" fg:w="6"/><text x="67.2630%" y="63.50"></text></g><g><title>[unknown] (6 samples, 1.56%)</title><rect x="67.0130%" y="37" width="1.5584%" height="15" fill="rgb(219,102,11)" fg:x="258" fg:w="6"/><text x="67.2630%" y="47.50"></text></g><g><title>__log (2 samples, 0.52%)</title><rect x="68.5714%" y="261" width="0.5195%" height="15" fill="rgb(243,110,44)" fg:x="264" fg:w="2"/><text x="68.8214%" y="271.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::ln (23 samples, 5.97%)</title><rect x="63.3766%" y="309" width="5.9740%" height="15" fill="rgb(222,74,54)" fg:x="244" fg:w="23"/><text x="63.6266%" y="319.50">std::f64..</text></g><g><title>std::sys::log_wrapper (23 samples, 5.97%)</title><rect x="63.3766%" y="293" width="5.9740%" height="15" fill="rgb(216,99,12)" fg:x="244" fg:w="23"/><text x="63.6266%" y="303.50">std::sys..</text></g><g><title>std::f64::_&lt;impl f64&gt;::ln::_{{closure}} (23 samples, 5.97%)</title><rect x="63.3766%" y="277" width="5.9740%" height="15" fill="rgb(226,22,26)" fg:x="244" fg:w="23"/><text x="63.6266%" y="287.50">std::f64..</text></g><g><title>__log_finite@GLIBC_2.15@plt (1 samples, 0.26%)</title><rect x="69.0909%" y="261" width="0.2597%" height="15" fill="rgb(217,163,10)" fg:x="266" fg:w="1"/><text x="69.3409%" y="271.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::powi (1 samples, 0.26%)</title><rect x="69.3506%" y="309" width="0.2597%" height="15" fill="rgb(213,25,53)" fg:x="267" fg:w="1"/><text x="69.6006%" y="319.50"></text></g><g><title>bachelorarbeit::calc::integrate (259 samples, 67.27%)</title><rect x="4.9351%" y="357" width="67.2727%" height="15" fill="rgb(252,105,26)" fg:x="19" fg:w="259"/><text x="5.1851%" y="367.50">bachelorarbeit::calc::integrate</text></g><g><title>bachelorarbeit::calc::phi0::_{{closure}} (254 samples, 65.97%)</title><rect x="6.2338%" y="341" width="65.9740%" height="15" fill="rgb(220,39,43)" fg:x="24" fg:w="254"/><text x="6.4838%" y="351.50">bachelorarbeit::calc::phi0::_{{closure}}</text></g><g><title>bachelorarbeit::calc::phi0_integrand (253 samples, 65.71%)</title><rect x="6.4935%" y="325" width="65.7143%" height="15" fill="rgb(229,68,48)" fg:x="25" fg:w="253"/><text x="6.7435%" y="335.50">bachelorarbeit::calc::phi0_integrand</text></g><g><title>std::f64::&lt;impl f64&gt;::tan (10 samples, 2.60%)</title><rect x="69.6104%" y="309" width="2.5974%" height="15" fill="rgb(252,8,32)" fg:x="268" fg:w="10"/><text x="69.8604%" y="319.50">st..</text></g><g><title>__tan_fma (10 samples, 2.60%)</title><rect x="69.6104%" y="293" width="2.5974%" height="15" fill="rgb(223,20,43)" fg:x="268" fg:w="10"/><text x="69.8604%" y="303.50">__..</text></g><g><title>libc_feholdsetround_sse_ctx (1 samples, 0.26%)</title><rect x="71.9481%" y="277" width="0.2597%" height="15" fill="rgb(229,81,49)" fg:x="277" fg:w="1"/><text x="72.1981%" y="287.50"></text></g><g><title>&lt;num_complex::Complex&lt;T&gt; as core::ops::arith::Mul&lt;T&gt;&gt;::mul (1 samples, 0.26%)</title><rect x="72.9870%" y="293" width="0.2597%" height="15" fill="rgb(236,28,36)" fg:x="281" fg:w="1"/><text x="73.2370%" y="303.50"></text></g><g><title>&lt;f64 as core::ops::arith::Mul&gt;::mul (1 samples, 0.26%)</title><rect x="72.9870%" y="277" width="0.2597%" height="15" fill="rgb(249,185,26)" fg:x="281" fg:w="1"/><text x="73.2370%" y="287.50"></text></g><g><title>alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,Type&gt;::reborrow (1 samples, 0.26%)</title><rect x="73.5065%" y="261" width="0.2597%" height="15" fill="rgb(249,174,33)" fg:x="283" fg:w="1"/><text x="73.7565%" y="271.50"></text></g><g><title>alloc::collections::btree::node::Handle&lt;alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::Internal&gt;,alloc::collections::btree::node::marker::Edge&gt;::descend (3 samples, 0.78%)</title><rect x="73.7662%" y="245" width="0.7792%" height="15" fill="rgb(233,201,37)" fg:x="284" fg:w="3"/><text x="74.0162%" y="255.50"></text></g><g><title>core::mem::maybe_uninit::MaybeUninit&lt;T&gt;::assume_init_read (3 samples, 0.78%)</title><rect x="73.7662%" y="229" width="0.7792%" height="15" fill="rgb(221,78,26)" fg:x="284" fg:w="3"/><text x="74.0162%" y="239.50"></text></g><g><title>core::ptr::const_ptr::&lt;impl *const T&gt;::read (3 samples, 0.78%)</title><rect x="73.7662%" y="213" width="0.7792%" height="15" fill="rgb(250,127,30)" fg:x="284" fg:w="3"/><text x="74.0162%" y="223.50"></text></g><g><title>core::ptr::read (3 samples, 0.78%)</title><rect x="73.7662%" y="197" width="0.7792%" height="15" fill="rgb(230,49,44)" fg:x="284" fg:w="3"/><text x="74.0162%" y="207.50"></text></g><g><title>alloc::collections::btree::node::Handle&lt;alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::LeafOrInternal&gt;,Type&gt;::force (3 samples, 0.78%)</title><rect x="74.5455%" y="245" width="0.7792%" height="15" fill="rgb(229,67,23)" fg:x="287" fg:w="3"/><text x="74.7955%" y="255.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (3 samples, 0.78%)</title><rect x="74.5455%" y="229" width="0.7792%" height="15" fill="rgb(249,83,47)" fg:x="287" fg:w="3"/><text x="74.7955%" y="239.50"></text></g><g><title>&lt;core::iter::adapters::enumerate::Enumerate&lt;I&gt; as core::iter::traits::iterator::Iterator&gt;::next (7 samples, 1.82%)</title><rect x="79.7403%" y="213" width="1.8182%" height="15" fill="rgb(215,43,3)" fg:x="307" fg:w="7"/><text x="79.9903%" y="223.50">&lt;..</text></g><g><title>&lt;core::slice::iter::Iter&lt;T&gt; as core::iter::traits::iterator::Iterator&gt;::next (7 samples, 1.82%)</title><rect x="79.7403%" y="197" width="1.8182%" height="15" fill="rgb(238,154,13)" fg:x="307" fg:w="7"/><text x="79.9903%" y="207.50">&lt;..</text></g><g><title>&lt;core::ptr::non_null::NonNull&lt;T&gt; as core::cmp::PartialEq&gt;::eq (7 samples, 1.82%)</title><rect x="79.7403%" y="181" width="1.8182%" height="15" fill="rgb(219,56,2)" fg:x="307" fg:w="7"/><text x="79.9903%" y="191.50">&lt;..</text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="213" width="0.2597%" height="15" fill="rgb(233,0,4)" fg:x="314" fg:w="1"/><text x="81.8084%" y="223.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="197" width="0.2597%" height="15" fill="rgb(235,30,7)" fg:x="314" fg:w="1"/><text x="81.8084%" y="207.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="181" width="0.2597%" height="15" fill="rgb(250,79,13)" fg:x="314" fg:w="1"/><text x="81.8084%" y="191.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="165" width="0.2597%" height="15" fill="rgb(211,146,34)" fg:x="314" fg:w="1"/><text x="81.8084%" y="175.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="149" width="0.2597%" height="15" fill="rgb(228,22,38)" fg:x="314" fg:w="1"/><text x="81.8084%" y="159.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="133" width="0.2597%" height="15" fill="rgb(235,168,5)" fg:x="314" fg:w="1"/><text x="81.8084%" y="143.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="117" width="0.2597%" height="15" fill="rgb(221,155,16)" fg:x="314" fg:w="1"/><text x="81.8084%" y="127.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="101" width="0.2597%" height="15" fill="rgb(215,215,53)" fg:x="314" fg:w="1"/><text x="81.8084%" y="111.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="85" width="0.2597%" height="15" fill="rgb(223,4,10)" fg:x="314" fg:w="1"/><text x="81.8084%" y="95.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="69" width="0.2597%" height="15" fill="rgb(234,103,6)" fg:x="314" fg:w="1"/><text x="81.8084%" y="79.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="81.5584%" y="53" width="0.2597%" height="15" fill="rgb(227,97,0)" fg:x="314" fg:w="1"/><text x="81.8084%" y="63.50"></text></g><g><title>alloc::collections::btree::node::NodeRef&lt;alloc::collections::btree::node::marker::Immut,K,V,Type&gt;::keys (1 samples, 0.26%)</title><rect x="81.8182%" y="213" width="0.2597%" height="15" fill="rgb(234,150,53)" fg:x="315" fg:w="1"/><text x="82.0682%" y="223.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (54 samples, 14.03%)</title><rect x="73.2468%" y="293" width="14.0260%" height="15" fill="rgb(228,201,54)" fg:x="282" fg:w="54"/><text x="73.4968%" y="303.50">bachelorarbeit::calc:..</text></g><g><title>alloc::collections::btree::map::BTreeMap&lt;K,V,A&gt;::get (53 samples, 13.77%)</title><rect x="73.5065%" y="277" width="13.7662%" height="15" fill="rgb(222,22,37)" fg:x="283" fg:w="53"/><text x="73.7565%" y="287.50">alloc::collections::b..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,alloc::collections::btree::node::marker::LeafOrInternal&gt;&gt;::search_tree (52 samples, 13.51%)</title><rect x="73.7662%" y="261" width="13.5065%" height="15" fill="rgb(237,53,32)" fg:x="284" fg:w="52"/><text x="74.0162%" y="271.50">alloc::collections::..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,Type&gt;&gt;::search_node (46 samples, 11.95%)</title><rect x="75.3247%" y="245" width="11.9481%" height="15" fill="rgb(233,25,53)" fg:x="290" fg:w="46"/><text x="75.5747%" y="255.50">alloc::collections..</text></g><g><title>alloc::collections::btree::search::&lt;impl alloc::collections::btree::node::NodeRef&lt;BorrowType,K,V,Type&gt;&gt;::find_key_index (46 samples, 11.95%)</title><rect x="75.3247%" y="229" width="11.9481%" height="15" fill="rgb(210,40,34)" fg:x="290" fg:w="46"/><text x="75.5747%" y="239.50">alloc::collections..</text></g><g><title>core::cmp::impls::&lt;impl core::cmp::Ord for u64&gt;::cmp (20 samples, 5.19%)</title><rect x="82.0779%" y="213" width="5.1948%" height="15" fill="rgb(241,220,44)" fg:x="316" fg:w="20"/><text x="82.3279%" y="223.50">core::..</text></g><g><title>num_complex::&lt;impl core::ops::arith::Add&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::add (3 samples, 0.78%)</title><rect x="87.2727%" y="293" width="0.7792%" height="15" fill="rgb(235,28,35)" fg:x="336" fg:w="3"/><text x="87.5227%" y="303.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Div&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::div (11 samples, 2.86%)</title><rect x="88.0519%" y="293" width="2.8571%" height="15" fill="rgb(210,56,17)" fg:x="339" fg:w="11"/><text x="88.3019%" y="303.50">nu..</text></g><g><title>num_complex::Complex&lt;T&gt;::norm_sqr (2 samples, 0.52%)</title><rect x="90.3896%" y="277" width="0.5195%" height="15" fill="rgb(224,130,29)" fg:x="348" fg:w="2"/><text x="90.6396%" y="287.50"></text></g><g><title>&lt;f64 as core::ops::arith::Mul&gt;::mul (2 samples, 0.52%)</title><rect x="90.3896%" y="261" width="0.5195%" height="15" fill="rgb(235,212,8)" fg:x="348" fg:w="2"/><text x="90.6396%" y="271.50"></text></g><g><title>do_cos (4 samples, 1.04%)</title><rect x="92.2078%" y="261" width="1.0390%" height="15" fill="rgb(223,33,50)" fg:x="355" fg:w="4"/><text x="92.4578%" y="271.50"></text></g><g><title>do_sin (6 samples, 1.56%)</title><rect x="93.2468%" y="261" width="1.5584%" height="15" fill="rgb(219,149,13)" fg:x="359" fg:w="6"/><text x="93.4968%" y="271.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::cos (16 samples, 4.16%)</title><rect x="90.9091%" y="293" width="4.1558%" height="15" fill="rgb(250,156,29)" fg:x="350" fg:w="16"/><text x="91.1591%" y="303.50">std::..</text></g><g><title>__cos_fma (16 samples, 4.16%)</title><rect x="90.9091%" y="277" width="4.1558%" height="15" fill="rgb(216,193,19)" fg:x="350" fg:w="16"/><text x="91.1591%" y="287.50">__cos..</text></g><g><title>libc_feholdsetround_sse_ctx (1 samples, 0.26%)</title><rect x="94.8052%" y="261" width="0.2597%" height="15" fill="rgb(216,135,14)" fg:x="365" fg:w="1"/><text x="95.0552%" y="271.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::powi (2 samples, 0.52%)</title><rect x="95.0649%" y="293" width="0.5195%" height="15" fill="rgb(241,47,5)" fg:x="366" fg:w="2"/><text x="95.3149%" y="303.50"></text></g><g><title>bachelorarbeit::calc::omnes::_{{closure}} (96 samples, 24.94%)</title><rect x="72.2078%" y="325" width="24.9351%" height="15" fill="rgb(233,42,35)" fg:x="278" fg:w="96"/><text x="72.4578%" y="335.50">bachelorarbeit::calc::omnes::_{{closure}}</text></g><g><title>bachelorarbeit::calc::omnes_integrand (96 samples, 24.94%)</title><rect x="72.2078%" y="309" width="24.9351%" height="15" fill="rgb(231,13,6)" fg:x="278" fg:w="96"/><text x="72.4578%" y="319.50">bachelorarbeit::calc::omnes_integrand</text></g><g><title>std::f64::&lt;impl f64&gt;::tan (6 samples, 1.56%)</title><rect x="95.5844%" y="293" width="1.5584%" height="15" fill="rgb(207,181,40)" fg:x="368" fg:w="6"/><text x="95.8344%" y="303.50"></text></g><g><title>__tan_fma (6 samples, 1.56%)</title><rect x="95.5844%" y="277" width="1.5584%" height="15" fill="rgb(254,173,49)" fg:x="368" fg:w="6"/><text x="95.8344%" y="287.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Mul&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::mul (1 samples, 0.26%)</title><rect x="97.1429%" y="325" width="0.2597%" height="15" fill="rgb(221,1,38)" fg:x="374" fg:w="1"/><text x="97.3929%" y="335.50"></text></g><g><title>bachelorarbeit::calc::integrate_complex (99 samples, 25.71%)</title><rect x="72.2078%" y="341" width="25.7143%" height="15" fill="rgb(206,124,46)" fg:x="278" fg:w="99"/><text x="72.4578%" y="351.50">bachelorarbeit::calc::integrate_complex</text></g><g><title>num_complex::opassign::&lt;impl core::ops::arith::AddAssign for num_complex::Complex&lt;T&gt;&gt;::add_assign (2 samples, 0.52%)</title><rect x="97.4026%" y="325" width="0.5195%" height="15" fill="rgb(249,21,11)" fg:x="375" fg:w="2"/><text x="97.6526%" y="335.50"></text></g><g><title>&lt;f64 as core::ops::arith::AddAssign&gt;::add_assign (2 samples, 0.52%)</title><rect x="97.4026%" y="309" width="0.5195%" height="15" fill="rgb(222,201,40)" fg:x="375" fg:w="2"/><text x="97.6526%" y="319.50"></text></g><g><title>bachelorarbeit::calc::omnes (1 samples, 0.26%)</title><rect x="97.9221%" y="341" width="0.2597%" height="15" fill="rgb(235,61,29)" fg:x="377" fg:w="1"/><text x="98.1721%" y="351.50"></text></g><g><title>__libc_start_main_impl (362 samples, 94.03%)</title><rect x="4.4156%" y="677" width="94.0260%" height="15" fill="rgb(219,207,3)" fg:x="17" fg:w="362"/><text x="4.6656%" y="687.50">__libc_start_main_impl</text></g><g><title>__libc_start_call_main (362 samples, 94.03%)</title><rect x="4.4156%" y="661" width="94.0260%" height="15" fill="rgb(222,56,46)" fg:x="17" fg:w="362"/><text x="4.6656%" y="671.50">__libc_start_call_main</text></g><g><title>std::rt::lang_start (362 samples, 94.03%)</title><rect x="4.4156%" y="645" width="94.0260%" height="15" fill="rgb(239,76,54)" fg:x="17" fg:w="362"/><text x="4.6656%" y="655.50">std::rt::lang_start</text></g><g><title>std::rt::lang_start_internal (362 samples, 94.03%)</title><rect x="4.4156%" y="629" width="94.0260%" height="15" fill="rgb(231,124,27)" fg:x="17" fg:w="362"/><text x="4.6656%" y="639.50">std::rt::lang_start_internal</text></g><g><title>std::rt::lang_start::_{{closure}} (362 samples, 94.03%)</title><rect x="4.4156%" y="613" width="94.0260%" height="15" fill="rgb(249,195,6)" fg:x="17" fg:w="362"/><text x="4.6656%" y="623.50">std::rt::lang_start::_{{closure}}</text></g><g><title>std::sys_common::backtrace::__rust_begin_short_backtrace (362 samples, 94.03%)</title><rect x="4.4156%" y="597" width="94.0260%" height="15" fill="rgb(237,174,47)" fg:x="17" fg:w="362"/><text x="4.6656%" y="607.50">std::sys_common::backtrace::__rust_begin_short_backtrace</text></g><g><title>core::ops::function::FnOnce::call_once (362 samples, 94.03%)</title><rect x="4.4156%" y="581" width="94.0260%" height="15" fill="rgb(206,201,31)" fg:x="17" fg:w="362"/><text x="4.6656%" y="591.50">core::ops::function::FnOnce::call_once</text></g><g><title>bachelorarbeit::main (362 samples, 94.03%)</title><rect x="4.4156%" y="565" width="94.0260%" height="15" fill="rgb(231,57,52)" fg:x="17" fg:w="362"/><text x="4.6656%" y="575.50">bachelorarbeit::main</text></g><g><title>core::iter::traits::iterator::Iterator::collect (360 samples, 93.51%)</title><rect x="4.9351%" y="549" width="93.5065%" height="15" fill="rgb(248,177,22)" fg:x="19" fg:w="360"/><text x="5.1851%" y="559.50">core::iter::traits::iterator::Iterator::collect</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as core::iter::traits::collect::FromIterator&lt;T&gt;&gt;::from_iter (360 samples, 93.51%)</title><rect x="4.9351%" y="533" width="93.5065%" height="15" fill="rgb(215,211,37)" fg:x="19" fg:w="360"/><text x="5.1851%" y="543.50">&lt;alloc::vec::Vec&lt;T&gt; as core::iter::traits::collect::FromIterator&lt;T&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter::SpecFromIter&lt;T,I&gt;&gt;::from_iter (360 samples, 93.51%)</title><rect x="4.9351%" y="517" width="93.5065%" height="15" fill="rgb(241,128,51)" fg:x="19" fg:w="360"/><text x="5.1851%" y="527.50">&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter::SpecFromIter&lt;T,I&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter_nested::SpecFromIterNested&lt;T,I&gt;&gt;::from_iter (360 samples, 93.51%)</title><rect x="4.9351%" y="501" width="93.5065%" height="15" fill="rgb(227,165,31)" fg:x="19" fg:w="360"/><text x="5.1851%" y="511.50">&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter_nested::SpecFromIterNested&lt;T,I&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T,A&gt; as alloc::vec::spec_extend::SpecExtend&lt;T,I&gt;&gt;::spec_extend (360 samples, 93.51%)</title><rect x="4.9351%" y="485" width="93.5065%" height="15" fill="rgb(228,167,24)" fg:x="19" fg:w="360"/><text x="5.1851%" y="495.50">&lt;alloc::vec::Vec&lt;T,A&gt; as alloc::vec::spec_extend::SpecExtend&lt;T,I&gt;&gt;::spec_extend</text></g><g><title>alloc::vec::Vec&lt;T,A&gt;::extend_trusted (360 samples, 93.51%)</title><rect x="4.9351%" y="469" width="93.5065%" height="15" fill="rgb(228,143,12)" fg:x="19" fg:w="360"/><text x="5.1851%" y="479.50">alloc::vec::Vec&lt;T,A&gt;::extend_trusted</text></g><g><title>core::iter::traits::iterator::Iterator::for_each (360 samples, 93.51%)</title><rect x="4.9351%" y="453" width="93.5065%" height="15" fill="rgb(249,149,8)" fg:x="19" fg:w="360"/><text x="5.1851%" y="463.50">core::iter::traits::iterator::Iterator::for_each</text></g><g><title>&lt;core::iter::adapters::map::Map&lt;I,F&gt; as core::iter::traits::iterator::Iterator&gt;::fold (360 samples, 93.51%)</title><rect x="4.9351%" y="437" width="93.5065%" height="15" fill="rgb(243,35,44)" fg:x="19" fg:w="360"/><text x="5.1851%" y="447.50">&lt;core::iter::adapters::map::Map&lt;I,F&gt; as core::iter::traits::iterator::Iterator&gt;::fold</text></g><g><title>&lt;core::slice::iter::Iter&lt;T&gt; as core::iter::traits::iterator::Iterator&gt;::fold (360 samples, 93.51%)</title><rect x="4.9351%" y="421" width="93.5065%" height="15" fill="rgb(246,89,9)" fg:x="19" fg:w="360"/><text x="5.1851%" y="431.50">&lt;core::slice::iter::Iter&lt;T&gt; as core::iter::traits::iterator::Iterator&gt;::fold</text></g><g><title>core::iter::adapters::map::map_fold::_{{closure}} (360 samples, 93.51%)</title><rect x="4.9351%" y="405" width="93.5065%" height="15" fill="rgb(233,213,13)" fg:x="19" fg:w="360"/><text x="5.1851%" y="415.50">core::iter::adapters::map::map_fold::_{{closure}}</text></g><g><title>bachelorarbeit::main::_{{closure}} (360 samples, 93.51%)</title><rect x="4.9351%" y="389" width="93.5065%" height="15" fill="rgb(233,141,41)" fg:x="19" fg:w="360"/><text x="5.1851%" y="399.50">bachelorarbeit::main::_{{closure}}</text></g><g><title>bachelorarbeit::calc::phi0 (360 samples, 93.51%)</title><rect x="4.9351%" y="373" width="93.5065%" height="15" fill="rgb(239,167,4)" fg:x="19" fg:w="360"/><text x="5.1851%" y="383.50">bachelorarbeit::calc::phi0</text></g><g><title>bachelorarbeit::calc::omnes (101 samples, 26.23%)</title><rect x="72.2078%" y="357" width="26.2338%" height="15" fill="rgb(209,217,16)" fg:x="278" fg:w="101"/><text x="72.4578%" y="367.50">bachelorarbeit::calc::omnes</text></g><g><title>num_complex::Complex&lt;T&gt;::exp (1 samples, 0.26%)</title><rect x="98.1818%" y="341" width="0.2597%" height="15" fill="rgb(219,88,35)" fg:x="378" fg:w="1"/><text x="98.4318%" y="351.50"></text></g><g><title>&lt;f64 as num_traits::float::Float&gt;::exp (1 samples, 0.26%)</title><rect x="98.1818%" y="325" width="0.2597%" height="15" fill="rgb(220,193,23)" fg:x="378" fg:w="1"/><text x="98.4318%" y="335.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::exp (1 samples, 0.26%)</title><rect x="98.1818%" y="309" width="0.2597%" height="15" fill="rgb(230,90,52)" fg:x="378" fg:w="1"/><text x="98.4318%" y="319.50"></text></g><g><title>__GI___exp (1 samples, 0.26%)</title><rect x="98.1818%" y="293" width="0.2597%" height="15" fill="rgb(252,106,19)" fg:x="378" fg:w="1"/><text x="98.4318%" y="303.50"></text></g><g><title>__ieee754_exp_fma (1 samples, 0.26%)</title><rect x="98.1818%" y="277" width="0.2597%" height="15" fill="rgb(206,74,20)" fg:x="378" fg:w="1"/><text x="98.4318%" y="287.50"></text></g><g><title>bachelorarbeit (380 samples, 98.70%)</title><rect x="0.0000%" y="709" width="98.7013%" height="15" fill="rgb(230,138,44)" fg:x="0" fg:w="380"/><text x="0.2500%" y="719.50">bachelorarbeit</text></g><g><title>_start (363 samples, 94.29%)</title><rect x="4.4156%" y="693" width="94.2857%" height="15" fill="rgb(235,182,43)" fg:x="17" fg:w="363"/><text x="4.6656%" y="703.50">_start</text></g><g><title>_dl_start (1 samples, 0.26%)</title><rect x="98.4416%" y="677" width="0.2597%" height="15" fill="rgb(242,16,51)" fg:x="379" fg:w="1"/><text x="98.6916%" y="687.50"></text></g><g><title>_dl_start_final (1 samples, 0.26%)</title><rect x="98.4416%" y="661" width="0.2597%" height="15" fill="rgb(248,9,4)" fg:x="379" fg:w="1"/><text x="98.6916%" y="671.50"></text></g><g><title>_dl_sysdep_start (1 samples, 0.26%)</title><rect x="98.4416%" y="645" width="0.2597%" height="15" fill="rgb(210,31,22)" fg:x="379" fg:w="1"/><text x="98.6916%" y="655.50"></text></g><g><title>dl_main (1 samples, 0.26%)</title><rect x="98.4416%" y="629" width="0.2597%" height="15" fill="rgb(239,54,39)" fg:x="379" fg:w="1"/><text x="98.6916%" y="639.50"></text></g><g><title>_dl_map_object_deps (1 samples, 0.26%)</title><rect x="98.4416%" y="613" width="0.2597%" height="15" fill="rgb(230,99,41)" fg:x="379" fg:w="1"/><text x="98.6916%" y="623.50"></text></g><g><title>_dl_catch_exception (1 samples, 0.26%)</title><rect x="98.4416%" y="597" width="0.2597%" height="15" fill="rgb(253,106,12)" fg:x="379" fg:w="1"/><text x="98.6916%" y="607.50"></text></g><g><title>openaux (1 samples, 0.26%)</title><rect x="98.4416%" y="581" width="0.2597%" height="15" fill="rgb(213,46,41)" fg:x="379" fg:w="1"/><text x="98.6916%" y="591.50"></text></g><g><title>_dl_map_object (1 samples, 0.26%)</title><rect x="98.4416%" y="565" width="0.2597%" height="15" fill="rgb(215,133,35)" fg:x="379" fg:w="1"/><text x="98.6916%" y="575.50"></text></g><g><title>_dl_map_object_from_fd (1 samples, 0.26%)</title><rect x="98.4416%" y="549" width="0.2597%" height="15" fill="rgb(213,28,5)" fg:x="379" fg:w="1"/><text x="98.6916%" y="559.50"></text></g><g><title>_dl_map_segments (1 samples, 0.26%)</title><rect x="98.4416%" y="533" width="0.2597%" height="15" fill="rgb(215,77,49)" fg:x="379" fg:w="1"/><text x="98.6916%" y="543.50"></text></g><g><title>__mmap64 (1 samples, 0.26%)</title><rect x="98.4416%" y="517" width="0.2597%" height="15" fill="rgb(248,100,22)" fg:x="379" fg:w="1"/><text x="98.6916%" y="527.50"></text></g><g><title>__mmap64 (1 samples, 0.26%)</title><rect x="98.4416%" y="501" width="0.2597%" height="15" fill="rgb(208,67,9)" fg:x="379" fg:w="1"/><text x="98.6916%" y="511.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="98.4416%" y="485" width="0.2597%" height="15" fill="rgb(219,133,21)" fg:x="379" fg:w="1"/><text x="98.6916%" y="495.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="98.4416%" y="469" width="0.2597%" height="15" fill="rgb(246,46,29)" fg:x="379" fg:w="1"/><text x="98.6916%" y="479.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="98.4416%" y="453" width="0.2597%" height="15" fill="rgb(246,185,52)" fg:x="379" fg:w="1"/><text x="98.6916%" y="463.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="98.4416%" y="437" width="0.2597%" height="15" fill="rgb(252,136,11)" fg:x="379" fg:w="1"/><text x="98.6916%" y="447.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="98.4416%" y="421" width="0.2597%" height="15" fill="rgb(219,138,53)" fg:x="379" fg:w="1"/><text x="98.6916%" y="431.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="98.4416%" y="405" width="0.2597%" height="15" fill="rgb(211,51,23)" fg:x="379" fg:w="1"/><text x="98.6916%" y="415.50"></text></g><g><title>[unknown] (1 samples, 0.26%)</title><rect x="98.4416%" y="389" width="0.2597%" height="15" fill="rgb(247,221,28)" fg:x="379" fg:w="1"/><text x="98.6916%" y="399.50"></text></g><g><title>all (385 samples, 100%)</title><rect x="0.0000%" y="725" width="100.0000%" height="15" fill="rgb(251,222,45)" fg:x="0" fg:w="385"/><text x="0.2500%" y="735.50"></text></g><g><title>perf-exec (5 samples, 1.30%)</title><rect x="98.7013%" y="709" width="1.2987%" height="15" fill="rgb(217,162,53)" fg:x="380" fg:w="5"/><text x="98.9513%" y="719.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="693" width="1.2987%" height="15" fill="rgb(229,93,14)" fg:x="380" fg:w="5"/><text x="98.9513%" y="703.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="677" width="1.2987%" height="15" fill="rgb(209,67,49)" fg:x="380" fg:w="5"/><text x="98.9513%" y="687.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="661" width="1.2987%" height="15" fill="rgb(213,87,29)" fg:x="380" fg:w="5"/><text x="98.9513%" y="671.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="645" width="1.2987%" height="15" fill="rgb(205,151,52)" fg:x="380" fg:w="5"/><text x="98.9513%" y="655.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="629" width="1.2987%" height="15" fill="rgb(253,215,39)" fg:x="380" fg:w="5"/><text x="98.9513%" y="639.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="613" width="1.2987%" height="15" fill="rgb(221,220,41)" fg:x="380" fg:w="5"/><text x="98.9513%" y="623.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="597" width="1.2987%" height="15" fill="rgb(218,133,21)" fg:x="380" fg:w="5"/><text x="98.9513%" y="607.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="581" width="1.2987%" height="15" fill="rgb(221,193,43)" fg:x="380" fg:w="5"/><text x="98.9513%" y="591.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="565" width="1.2987%" height="15" fill="rgb(240,128,52)" fg:x="380" fg:w="5"/><text x="98.9513%" y="575.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="549" width="1.2987%" height="15" fill="rgb(253,114,12)" fg:x="380" fg:w="5"/><text x="98.9513%" y="559.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="533" width="1.2987%" height="15" fill="rgb(215,223,47)" fg:x="380" fg:w="5"/><text x="98.9513%" y="543.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="517" width="1.2987%" height="15" fill="rgb(248,225,23)" fg:x="380" fg:w="5"/><text x="98.9513%" y="527.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="501" width="1.2987%" height="15" fill="rgb(250,108,0)" fg:x="380" fg:w="5"/><text x="98.9513%" y="511.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="485" width="1.2987%" height="15" fill="rgb(228,208,7)" fg:x="380" fg:w="5"/><text x="98.9513%" y="495.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="469" width="1.2987%" height="15" fill="rgb(244,45,10)" fg:x="380" fg:w="5"/><text x="98.9513%" y="479.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="453" width="1.2987%" height="15" fill="rgb(207,125,25)" fg:x="380" fg:w="5"/><text x="98.9513%" y="463.50"></text></g><g><title>[unknown] (5 samples, 1.30%)</title><rect x="98.7013%" y="437" width="1.2987%" height="15" fill="rgb(210,195,18)" fg:x="380" fg:w="5"/><text x="98.9513%" y="447.50"></text></g></svg></svg>
\ No newline at end of file
diff --git a/bachelorarbeit/flamegraph_hasmap.svg b/bachelorarbeit/flamegraph_hasmap.svg
new file mode 100644
index 0000000..976a83b
--- /dev/null
+++ b/bachelorarbeit/flamegraph_hasmap.svg
@@ -0,0 +1,491 @@
+<?xml version="1.0" standalone="no"?><!DOCTYPE svg PUBLIC "-//W3C//DTD SVG 1.1//EN" "http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd"><svg version="1.1" width="1200" height="934" onload="init(evt)" viewBox="0 0 1200 934" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:fg="http://github.com/jonhoo/inferno"><!--Flame graph stack visualization. See https://github.com/brendangregg/FlameGraph for latest version, and http://www.brendangregg.com/flamegraphs.html for examples.--><!--NOTES: --><defs><linearGradient id="background" y1="0" y2="1" x1="0" x2="0"><stop stop-color="#eeeeee" offset="5%"/><stop stop-color="#eeeeb0" offset="95%"/></linearGradient></defs><style type="text/css">
+text { font-family:monospace; font-size:12px }
+#title { text-anchor:middle; font-size:17px; }
+#matched { text-anchor:end; }
+#search { text-anchor:end; opacity:0.1; cursor:pointer; }
+#search:hover, #search.show { opacity:1; }
+#subtitle { text-anchor:middle; font-color:rgb(160,160,160); }
+#unzoom { cursor:pointer; }
+#frames > *:hover { stroke:black; stroke-width:0.5; cursor:pointer; }
+.hide { display:none; }
+.parent { opacity:0.5; }
+</style><script type="text/ecmascript"><![CDATA[
+        var nametype = 'Function:';
+        var fontsize = 12;
+        var fontwidth = 0.59;
+        var xpad = 10;
+        var inverted = false;
+        var searchcolor = 'rgb(230,0,230)';
+        var fluiddrawing = true;
+        var truncate_text_right = false;
+    ]]><![CDATA["use strict";
+var details, searchbtn, unzoombtn, matchedtxt, svg, searching, frames, known_font_width;
+function init(evt) {
+    details = document.getElementById("details").firstChild;
+    searchbtn = document.getElementById("search");
+    unzoombtn = document.getElementById("unzoom");
+    matchedtxt = document.getElementById("matched");
+    svg = document.getElementsByTagName("svg")[0];
+    frames = document.getElementById("frames");
+    known_font_width = get_monospace_width(frames);
+    total_samples = parseInt(frames.attributes.total_samples.value);
+    searching = 0;
+
+    // Use GET parameters to restore a flamegraph's state.
+    var restore_state = function() {
+        var params = get_params();
+        if (params.x && params.y)
+            zoom(find_group(document.querySelector('[*|x="' + params.x + '"][y="' + params.y + '"]')));
+        if (params.s)
+            search(params.s);
+    };
+
+    if (fluiddrawing) {
+        // Make width dynamic so the SVG fits its parent's width.
+        svg.removeAttribute("width");
+        // Edge requires us to have a viewBox that gets updated with size changes.
+        var isEdge = /Edge\/\d./i.test(navigator.userAgent);
+        if (!isEdge) {
+            svg.removeAttribute("viewBox");
+        }
+        var update_for_width_change = function() {
+            if (isEdge) {
+                svg.attributes.viewBox.value = "0 0 " + svg.width.baseVal.value + " " + svg.height.baseVal.value;
+            }
+
+            // Keep consistent padding on left and right of frames container.
+            frames.attributes.width.value = svg.width.baseVal.value - xpad * 2;
+
+            // Text truncation needs to be adjusted for the current width.
+            update_text_for_elements(frames.children);
+
+            // Keep search elements at a fixed distance from right edge.
+            var svgWidth = svg.width.baseVal.value;
+            searchbtn.attributes.x.value = svgWidth - xpad;
+            matchedtxt.attributes.x.value = svgWidth - xpad;
+        };
+        window.addEventListener('resize', function() {
+            update_for_width_change();
+        });
+        // This needs to be done asynchronously for Safari to work.
+        setTimeout(function() {
+            unzoom();
+            update_for_width_change();
+            restore_state();
+        }, 0);
+    } else {
+        restore_state();
+    }
+}
+// event listeners
+window.addEventListener("click", function(e) {
+    var target = find_group(e.target);
+    if (target) {
+        if (target.nodeName == "a") {
+            if (e.ctrlKey === false) return;
+            e.preventDefault();
+        }
+        if (target.classList.contains("parent")) unzoom();
+        zoom(target);
+
+        // set parameters for zoom state
+        var el = target.querySelector("rect");
+        if (el && el.attributes && el.attributes.y && el.attributes["fg:x"]) {
+            var params = get_params()
+            params.x = el.attributes["fg:x"].value;
+            params.y = el.attributes.y.value;
+            history.replaceState(null, null, parse_params(params));
+        }
+    }
+    else if (e.target.id == "unzoom") {
+        unzoom();
+
+        // remove zoom state
+        var params = get_params();
+        if (params.x) delete params.x;
+        if (params.y) delete params.y;
+        history.replaceState(null, null, parse_params(params));
+    }
+    else if (e.target.id == "search") search_prompt();
+}, false)
+// mouse-over for info
+// show
+window.addEventListener("mouseover", function(e) {
+    var target = find_group(e.target);
+    if (target) details.nodeValue = nametype + " " + g_to_text(target);
+}, false)
+// clear
+window.addEventListener("mouseout", function(e) {
+    var target = find_group(e.target);
+    if (target) details.nodeValue = ' ';
+}, false)
+// ctrl-F for search
+window.addEventListener("keydown",function (e) {
+    if (e.keyCode === 114 || (e.ctrlKey && e.keyCode === 70)) {
+        e.preventDefault();
+        search_prompt();
+    }
+}, false)
+// functions
+function get_params() {
+    var params = {};
+    var paramsarr = window.location.search.substr(1).split('&');
+    for (var i = 0; i < paramsarr.length; ++i) {
+        var tmp = paramsarr[i].split("=");
+        if (!tmp[0] || !tmp[1]) continue;
+        params[tmp[0]]  = decodeURIComponent(tmp[1]);
+    }
+    return params;
+}
+function parse_params(params) {
+    var uri = "?";
+    for (var key in params) {
+        uri += key + '=' + encodeURIComponent(params[key]) + '&';
+    }
+    if (uri.slice(-1) == "&")
+        uri = uri.substring(0, uri.length - 1);
+    if (uri == '?')
+        uri = window.location.href.split('?')[0];
+    return uri;
+}
+function find_child(node, selector) {
+    var children = node.querySelectorAll(selector);
+    if (children.length) return children[0];
+    return;
+}
+function find_group(node) {
+    var parent = node.parentElement;
+    if (!parent) return;
+    if (parent.id == "frames") return node;
+    return find_group(parent);
+}
+function orig_save(e, attr, val) {
+    if (e.attributes["fg:orig_" + attr] != undefined) return;
+    if (e.attributes[attr] == undefined) return;
+    if (val == undefined) val = e.attributes[attr].value;
+    e.setAttribute("fg:orig_" + attr, val);
+}
+function orig_load(e, attr) {
+    if (e.attributes["fg:orig_"+attr] == undefined) return;
+    e.attributes[attr].value = e.attributes["fg:orig_" + attr].value;
+    e.removeAttribute("fg:orig_" + attr);
+}
+function g_to_text(e) {
+    var text = find_child(e, "title").firstChild.nodeValue;
+    return (text)
+}
+function g_to_func(e) {
+    var func = g_to_text(e);
+    // if there's any manipulation we want to do to the function
+    // name before it's searched, do it here before returning.
+    return (func);
+}
+function get_monospace_width(frames) {
+    // Given the id="frames" element, return the width of text characters if
+    // this is a monospace font, otherwise return 0.
+    text = find_child(frames.children[0], "text");
+    originalContent = text.textContent;
+    text.textContent = "!";
+    bangWidth = text.getComputedTextLength();
+    text.textContent = "W";
+    wWidth = text.getComputedTextLength();
+    text.textContent = originalContent;
+    if (bangWidth === wWidth) {
+        return bangWidth;
+    } else {
+        return 0;
+    }
+}
+function update_text_for_elements(elements) {
+    // In order to render quickly in the browser, you want to do one pass of
+    // reading attributes, and one pass of mutating attributes. See
+    // https://web.dev/avoid-large-complex-layouts-and-layout-thrashing/ for details.
+
+    // Fall back to inefficient calculation, if we're variable-width font.
+    // TODO This should be optimized somehow too.
+    if (known_font_width === 0) {
+        for (var i = 0; i < elements.length; i++) {
+            update_text(elements[i]);
+        }
+        return;
+    }
+
+    var textElemNewAttributes = [];
+    for (var i = 0; i < elements.length; i++) {
+        var e = elements[i];
+        var r = find_child(e, "rect");
+        var t = find_child(e, "text");
+        var w = parseFloat(r.attributes.width.value) * frames.attributes.width.value / 100 - 3;
+        var txt = find_child(e, "title").textContent.replace(/\([^(]*\)$/,"");
+        var newX = format_percent((parseFloat(r.attributes.x.value) + (100 * 3 / frames.attributes.width.value)));
+
+        // Smaller than this size won't fit anything
+        if (w < 2 * known_font_width) {
+            textElemNewAttributes.push([newX, ""]);
+            continue;
+        }
+
+        // Fit in full text width
+        if (txt.length * known_font_width < w) {
+            textElemNewAttributes.push([newX, txt]);
+            continue;
+        }
+
+        var substringLength = Math.floor(w / known_font_width) - 2;
+        if (truncate_text_right) {
+            // Truncate the right side of the text.
+            textElemNewAttributes.push([newX, txt.substring(0, substringLength) + ".."]);
+            continue;
+        } else {
+            // Truncate the left side of the text.
+            textElemNewAttributes.push([newX, ".." + txt.substring(txt.length - substringLength, txt.length)]);
+            continue;
+        }
+    }
+
+    console.assert(textElemNewAttributes.length === elements.length, "Resize failed, please file a bug at https://github.com/jonhoo/inferno/");
+
+    // Now that we know new textContent, set it all in one go so we don't refresh a bazillion times.
+    for (var i = 0; i < elements.length; i++) {
+        var e = elements[i];
+        var values = textElemNewAttributes[i];
+        var t = find_child(e, "text");
+        t.attributes.x.value = values[0];
+        t.textContent = values[1];
+    }
+}
+
+function update_text(e) {
+    var r = find_child(e, "rect");
+    var t = find_child(e, "text");
+    var w = parseFloat(r.attributes.width.value) * frames.attributes.width.value / 100 - 3;
+    var txt = find_child(e, "title").textContent.replace(/\([^(]*\)$/,"");
+    t.attributes.x.value = format_percent((parseFloat(r.attributes.x.value) + (100 * 3 / frames.attributes.width.value)));
+
+    // Smaller than this size won't fit anything
+    if (w < 2 * fontsize * fontwidth) {
+        t.textContent = "";
+        return;
+    }
+    t.textContent = txt;
+    // Fit in full text width
+    if (t.getComputedTextLength() < w)
+        return;
+    if (truncate_text_right) {
+        // Truncate the right side of the text.
+        for (var x = txt.length - 2; x > 0; x--) {
+            if (t.getSubStringLength(0, x + 2) <= w) {
+                t.textContent = txt.substring(0, x) + "..";
+                return;
+            }
+        }
+    } else {
+        // Truncate the left side of the text.
+        for (var x = 2; x < txt.length; x++) {
+            if (t.getSubStringLength(x - 2, txt.length) <= w) {
+                t.textContent = ".." + txt.substring(x, txt.length);
+                return;
+            }
+        }
+    }
+    t.textContent = "";
+}
+// zoom
+function zoom_reset(e) {
+    if (e.tagName == "rect") {
+        e.attributes.x.value = format_percent(100 * parseInt(e.attributes["fg:x"].value) / total_samples);
+        e.attributes.width.value = format_percent(100 * parseInt(e.attributes["fg:w"].value) / total_samples);
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_reset(c[i]);
+    }
+}
+function zoom_child(e, x, zoomed_width_samples) {
+    if (e.tagName == "text") {
+        var parent_x = parseFloat(find_child(e.parentNode, "rect[x]").attributes.x.value);
+        e.attributes.x.value = format_percent(parent_x + (100 * 3 / frames.attributes.width.value));
+    } else if (e.tagName == "rect") {
+        e.attributes.x.value = format_percent(100 * (parseInt(e.attributes["fg:x"].value) - x) / zoomed_width_samples);
+        e.attributes.width.value = format_percent(100 * parseInt(e.attributes["fg:w"].value) / zoomed_width_samples);
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_child(c[i], x, zoomed_width_samples);
+    }
+}
+function zoom_parent(e) {
+    if (e.attributes) {
+        if (e.attributes.x != undefined) {
+            e.attributes.x.value = "0.0%";
+        }
+        if (e.attributes.width != undefined) {
+            e.attributes.width.value = "100.0%";
+        }
+    }
+    if (e.childNodes == undefined) return;
+    for(var i = 0, c = e.childNodes; i < c.length; i++) {
+        zoom_parent(c[i]);
+    }
+}
+function zoom(node) {
+    var attr = find_child(node, "rect").attributes;
+    var width = parseInt(attr["fg:w"].value);
+    var xmin = parseInt(attr["fg:x"].value);
+    var xmax = xmin + width;
+    var ymin = parseFloat(attr.y.value);
+    unzoombtn.classList.remove("hide");
+    var el = frames.children;
+    var to_update_text = [];
+    for (var i = 0; i < el.length; i++) {
+        var e = el[i];
+        var a = find_child(e, "rect").attributes;
+        var ex = parseInt(a["fg:x"].value);
+        var ew = parseInt(a["fg:w"].value);
+        // Is it an ancestor
+        if (!inverted) {
+            var upstack = parseFloat(a.y.value) > ymin;
+        } else {
+            var upstack = parseFloat(a.y.value) < ymin;
+        }
+        if (upstack) {
+            // Direct ancestor
+            if (ex <= xmin && (ex+ew) >= xmax) {
+                e.classList.add("parent");
+                zoom_parent(e);
+                to_update_text.push(e);
+            }
+            // not in current path
+            else
+                e.classList.add("hide");
+        }
+        // Children maybe
+        else {
+            // no common path
+            if (ex < xmin || ex >= xmax) {
+                e.classList.add("hide");
+            }
+            else {
+                zoom_child(e, xmin, width);
+                to_update_text.push(e);
+            }
+        }
+    }
+    update_text_for_elements(to_update_text);
+}
+function unzoom() {
+    unzoombtn.classList.add("hide");
+    var el = frames.children;
+    for(var i = 0; i < el.length; i++) {
+        el[i].classList.remove("parent");
+        el[i].classList.remove("hide");
+        zoom_reset(el[i]);
+    }
+    update_text_for_elements(el);
+}
+// search
+function reset_search() {
+    var el = document.querySelectorAll("#frames rect");
+    for (var i = 0; i < el.length; i++) {
+        orig_load(el[i], "fill")
+    }
+    var params = get_params();
+    delete params.s;
+    history.replaceState(null, null, parse_params(params));
+}
+function search_prompt() {
+    if (!searching) {
+        var term = prompt("Enter a search term (regexp " +
+            "allowed, eg: ^ext4_)", "");
+        if (term != null) {
+            search(term)
+        }
+    } else {
+        reset_search();
+        searching = 0;
+        searchbtn.classList.remove("show");
+        searchbtn.firstChild.nodeValue = "Search"
+        matchedtxt.classList.add("hide");
+        matchedtxt.firstChild.nodeValue = ""
+    }
+}
+function search(term) {
+    var re = new RegExp(term);
+    var el = frames.children;
+    var matches = new Object();
+    var maxwidth = 0;
+    for (var i = 0; i < el.length; i++) {
+        var e = el[i];
+        // Skip over frames which are either not visible, or below the zoomed-to frame
+        if (e.classList.contains("hide") || e.classList.contains("parent")) {
+            continue;
+        }
+        var func = g_to_func(e);
+        var rect = find_child(e, "rect");
+        if (func == null || rect == null)
+            continue;
+        // Save max width. Only works as we have a root frame
+        var w = parseInt(rect.attributes["fg:w"].value);
+        if (w > maxwidth)
+            maxwidth = w;
+        if (func.match(re)) {
+            // highlight
+            var x = parseInt(rect.attributes["fg:x"].value);
+            orig_save(rect, "fill");
+            rect.attributes.fill.value = searchcolor;
+            // remember matches
+            if (matches[x] == undefined) {
+                matches[x] = w;
+            } else {
+                if (w > matches[x]) {
+                    // overwrite with parent
+                    matches[x] = w;
+                }
+            }
+            searching = 1;
+        }
+    }
+    if (!searching)
+        return;
+    var params = get_params();
+    params.s = term;
+    history.replaceState(null, null, parse_params(params));
+
+    searchbtn.classList.add("show");
+    searchbtn.firstChild.nodeValue = "Reset Search";
+    // calculate percent matched, excluding vertical overlap
+    var count = 0;
+    var lastx = -1;
+    var lastw = 0;
+    var keys = Array();
+    for (k in matches) {
+        if (matches.hasOwnProperty(k))
+            keys.push(k);
+    }
+    // sort the matched frames by their x location
+    // ascending, then width descending
+    keys.sort(function(a, b){
+        return a - b;
+    });
+    // Step through frames saving only the biggest bottom-up frames
+    // thanks to the sort order. This relies on the tree property
+    // where children are always smaller than their parents.
+    for (var k in keys) {
+        var x = parseInt(keys[k]);
+        var w = matches[keys[k]];
+        if (x >= lastx + lastw) {
+            count += w;
+            lastx = x;
+            lastw = w;
+        }
+    }
+    // display matched percent
+    matchedtxt.classList.remove("hide");
+    var pct = 100 * count / maxwidth;
+    if (pct != 100) pct = pct.toFixed(1);
+    matchedtxt.firstChild.nodeValue = "Matched: " + pct + "%";
+}
+function format_percent(n) {
+    return n.toFixed(4) + "%";
+}
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height="15" fill="rgb(225,35,8)" fg:x="66" fg:w="2"/><text x="6.4647%" y="799.50"></text></g><g><title>[unknown] (66 samples, 6.21%)</title><rect x="0.6591%" y="853" width="6.2147%" height="15" fill="rgb(250,213,24)" fg:x="7" fg:w="66"/><text x="0.9091%" y="863.50">[unknown]</text></g><g><title>core::hash::BuildHasher::hash_one (17 samples, 1.60%)</title><rect x="5.2731%" y="837" width="1.6008%" height="15" fill="rgb(247,123,22)" fg:x="56" fg:w="17"/><text x="5.5231%" y="847.50"></text></g><g><title>core::hash::impls::&lt;impl core::hash::Hash for &amp;T&gt;::hash (7 samples, 0.66%)</title><rect x="6.2147%" y="821" width="0.6591%" height="15" fill="rgb(231,138,38)" fg:x="66" fg:w="7"/><text x="6.4647%" y="831.50"></text></g><g><title>core::hash::impls::&lt;impl core::hash::Hash for u64&gt;::hash (5 samples, 0.47%)</title><rect x="6.4030%" y="805" width="0.4708%" height="15" fill="rgb(231,145,46)" fg:x="68" fg:w="5"/><text x="6.6530%" 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0.38%)</title><rect x="10.2637%" y="453" width="0.3766%" height="15" fill="rgb(227,1,9)" fg:x="109" fg:w="4"/><text x="10.5137%" y="463.50"></text></g><g><title>&lt;f64 as core::ops::arith::Div&gt;::div (20 samples, 1.88%)</title><rect x="10.6403%" y="453" width="1.8832%" height="15" fill="rgb(248,47,43)" fg:x="113" fg:w="20"/><text x="10.8903%" y="463.50">&lt;..</text></g><g><title>&lt;num_complex::Complex&lt;T&gt; as core::ops::arith::Div&gt;::div (27 samples, 2.54%)</title><rect x="10.2637%" y="469" width="2.5424%" height="15" fill="rgb(221,10,30)" fg:x="109" fg:w="27"/><text x="10.5137%" y="479.50">&lt;n..</text></g><g><title>&lt;f64 as core::ops::arith::Mul&gt;::mul (3 samples, 0.28%)</title><rect x="12.5235%" y="453" width="0.2825%" height="15" fill="rgb(210,229,1)" fg:x="133" fg:w="3"/><text x="12.7735%" y="463.50"></text></g><g><title>&lt;num_complex::Complex&lt;T&gt; as num_complex::complex_float::ComplexFloat&gt;::abs (93 samples, 8.76%)</title><rect x="12.8060%" y="469" 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fill="rgb(221,220,41)" fg:x="769" fg:w="83"/><text x="72.6605%" y="399.50">hashbrown::..</text></g><g><title>core::hash::BuildHasher::hash_one (83 samples, 7.82%)</title><rect x="72.4105%" y="373" width="7.8154%" height="15" fill="rgb(218,133,21)" fg:x="769" fg:w="83"/><text x="72.6605%" y="383.50">core::hash:..</text></g><g><title>core::hash::impls::&lt;impl core::hash::Hash for &amp;T&gt;::hash (28 samples, 2.64%)</title><rect x="77.5895%" y="357" width="2.6365%" height="15" fill="rgb(221,193,43)" fg:x="824" fg:w="28"/><text x="77.8395%" y="367.50">co..</text></g><g><title>core::hash::impls::&lt;impl core::hash::Hash for u64&gt;::hash (28 samples, 2.64%)</title><rect x="77.5895%" y="341" width="2.6365%" height="15" fill="rgb(240,128,52)" fg:x="824" fg:w="28"/><text x="77.8395%" y="351.50">co..</text></g><g><title>core::hash::Hasher::write_u64 (28 samples, 2.64%)</title><rect x="77.5895%" y="325" width="2.6365%" height="15" fill="rgb(253,114,12)" fg:x="824" fg:w="28"/><text 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y="351.50"></text></g><g><title>hashbrown::raw::bitmask::BitMask::remove_lowest_bit (5 samples, 0.47%)</title><rect x="80.6026%" y="325" width="0.4708%" height="15" fill="rgb(244,45,10)" fg:x="856" fg:w="5"/><text x="80.8526%" y="335.50"></text></g><g><title>hashbrown::map::equivalent_key::_{{closure}} (28 samples, 2.64%)</title><rect x="81.0734%" y="325" width="2.6365%" height="15" fill="rgb(207,125,25)" fg:x="861" fg:w="28"/><text x="81.3234%" y="335.50">ha..</text></g><g><title>&lt;Q as hashbrown::Equivalent&lt;K&gt;&gt;::equivalent (28 samples, 2.64%)</title><rect x="81.0734%" y="309" width="2.6365%" height="15" fill="rgb(210,195,18)" fg:x="861" fg:w="28"/><text x="81.3234%" y="319.50">&lt;Q..</text></g><g><title>core::cmp::impls::&lt;impl core::cmp::PartialEq&lt;&amp;B&gt; for &amp;A&gt;::eq (28 samples, 2.64%)</title><rect x="81.0734%" y="293" width="2.6365%" height="15" fill="rgb(249,80,12)" fg:x="861" fg:w="28"/><text x="81.3234%" y="303.50">co..</text></g><g><title>core::cmp::impls::&lt;impl core::cmp::PartialEq for u64&gt;::eq (28 samples, 2.64%)</title><rect x="81.0734%" y="277" width="2.6365%" height="15" fill="rgb(221,65,9)" fg:x="861" fg:w="28"/><text x="81.3234%" y="287.50">co..</text></g><g><title>hashbrown::raw::RawTable&lt;T,A&gt;::find::_{{closure}} (29 samples, 2.73%)</title><rect x="81.0734%" y="341" width="2.7307%" height="15" fill="rgb(235,49,36)" fg:x="861" fg:w="29"/><text x="81.3234%" y="351.50">ha..</text></g><g><title>hashbrown::raw::Bucket&lt;T&gt;::as_ref (1 samples, 0.09%)</title><rect x="83.7100%" y="325" width="0.0942%" height="15" fill="rgb(225,32,20)" fg:x="889" fg:w="1"/><text x="83.9600%" y="335.50"></text></g><g><title>hashbrown::raw::Bucket&lt;T&gt;::as_ptr (1 samples, 0.09%)</title><rect x="83.7100%" y="309" width="0.0942%" height="15" fill="rgb(215,141,46)" fg:x="889" fg:w="1"/><text x="83.9600%" y="319.50"></text></g><g><title>core::ptr::mut_ptr::&lt;impl *mut T&gt;::sub (1 samples, 0.09%)</title><rect x="83.7100%" y="293" width="0.0942%" height="15" fill="rgb(250,160,47)" fg:x="889" fg:w="1"/><text x="83.9600%" y="303.50"></text></g><g><title>core::ptr::mut_ptr::&lt;impl *mut T&gt;::offset (1 samples, 0.09%)</title><rect x="83.7100%" y="277" width="0.0942%" height="15" fill="rgb(216,222,40)" fg:x="889" fg:w="1"/><text x="83.9600%" y="287.50"></text></g><g><title>hashbrown::raw::h2 (11 samples, 1.04%)</title><rect x="83.8041%" y="341" width="1.0358%" height="15" fill="rgb(234,217,39)" fg:x="890" fg:w="11"/><text x="84.0541%" y="351.50"></text></g><g><title>hashbrown::raw::sse2::Group::load (5 samples, 0.47%)</title><rect x="84.8399%" y="341" width="0.4708%" height="15" fill="rgb(207,178,40)" fg:x="901" fg:w="5"/><text x="85.0899%" y="351.50"></text></g><g><title>core::core_arch::x86::sse2::_mm_loadu_si128 (5 samples, 0.47%)</title><rect x="84.8399%" y="325" width="0.4708%" height="15" fill="rgb(221,136,13)" fg:x="901" fg:w="5"/><text x="85.0899%" y="335.50"></text></g><g><title>core::intrinsics::copy_nonoverlapping (5 samples, 0.47%)</title><rect x="84.8399%" y="309" width="0.4708%" height="15" fill="rgb(249,199,10)" fg:x="901" fg:w="5"/><text x="85.0899%" y="319.50"></text></g><g><title>bachelorarbeit::calc::delta_with_lut (157 samples, 14.78%)</title><rect x="71.1864%" y="453" width="14.7834%" height="15" fill="rgb(249,222,13)" fg:x="756" fg:w="157"/><text x="71.4364%" y="463.50">bachelorarbeit::calc::d..</text></g><g><title>std::collections::hash::map::HashMap&lt;K,V,S&gt;::get (149 samples, 14.03%)</title><rect x="71.9397%" y="437" width="14.0301%" height="15" fill="rgb(244,185,38)" fg:x="764" fg:w="149"/><text x="72.1897%" y="447.50">std::collections::has..</text></g><g><title>hashbrown::map::HashMap&lt;K,V,S,A&gt;::get (149 samples, 14.03%)</title><rect x="71.9397%" y="421" width="14.0301%" height="15" fill="rgb(236,202,9)" fg:x="764" fg:w="149"/><text x="72.1897%" y="431.50">hashbrown::map::HashM..</text></g><g><title>hashbrown::map::HashMap&lt;K,V,S,A&gt;::get_inner (149 samples, 14.03%)</title><rect x="71.9397%" y="405" width="14.0301%" height="15" fill="rgb(250,229,37)" fg:x="764" fg:w="149"/><text x="72.1897%" y="415.50">hashbrown::map::HashM..</text></g><g><title>hashbrown::raw::RawTable&lt;T,A&gt;::get (61 samples, 5.74%)</title><rect x="80.2260%" y="389" width="5.7439%" height="15" fill="rgb(206,174,23)" fg:x="852" fg:w="61"/><text x="80.4760%" y="399.50">hashbro..</text></g><g><title>hashbrown::raw::RawTable&lt;T,A&gt;::find (61 samples, 5.74%)</title><rect x="80.2260%" y="373" width="5.7439%" height="15" fill="rgb(211,33,43)" fg:x="852" fg:w="61"/><text x="80.4760%" y="383.50">hashbro..</text></g><g><title>hashbrown::raw::RawTableInner::find_inner (60 samples, 5.65%)</title><rect x="80.3202%" y="357" width="5.6497%" height="15" fill="rgb(245,58,50)" fg:x="853" fg:w="60"/><text x="80.5702%" y="367.50">hashbro..</text></g><g><title>hashbrown::raw::sse2::Group::match_byte (7 samples, 0.66%)</title><rect x="85.3107%" y="341" width="0.6591%" height="15" fill="rgb(244,68,36)" fg:x="906" fg:w="7"/><text x="85.5607%" y="351.50"></text></g><g><title>core::core_arch::x86::sse2::_mm_movemask_epi8 (7 samples, 0.66%)</title><rect x="85.3107%" y="325" width="0.6591%" height="15" fill="rgb(232,229,15)" fg:x="906" fg:w="7"/><text x="85.5607%" y="335.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Add&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::add (2 samples, 0.19%)</title><rect x="85.9699%" y="453" width="0.1883%" height="15" fill="rgb(254,30,23)" fg:x="913" fg:w="2"/><text x="86.2199%" y="463.50"></text></g><g><title>&lt;f64 as core::ops::arith::Add&gt;::add (4 samples, 0.38%)</title><rect x="89.6422%" y="421" width="0.3766%" height="15" fill="rgb(235,160,14)" fg:x="952" fg:w="4"/><text x="89.8922%" y="431.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Div&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::div (53 samples, 4.99%)</title><rect x="86.1582%" y="453" width="4.9906%" height="15" fill="rgb(212,155,44)" fg:x="915" fg:w="53"/><text x="86.4082%" y="463.50">num_co..</text></g><g><title>num_complex::Complex&lt;T&gt;::norm_sqr (16 samples, 1.51%)</title><rect x="89.6422%" y="437" width="1.5066%" height="15" fill="rgb(226,2,50)" fg:x="952" fg:w="16"/><text x="89.8922%" y="447.50"></text></g><g><title>&lt;f64 as core::ops::arith::Mul&gt;::mul (12 samples, 1.13%)</title><rect x="90.0188%" y="421" width="1.1299%" height="15" fill="rgb(234,177,6)" fg:x="956" fg:w="12"/><text x="90.2688%" y="431.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Mul&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::mul (2 samples, 0.19%)</title><rect x="91.1488%" y="453" width="0.1883%" height="15" fill="rgb(217,24,9)" fg:x="968" fg:w="2"/><text x="91.3988%" y="463.50"></text></g><g><title>do_cos (11 samples, 1.04%)</title><rect x="91.9021%" y="421" width="1.0358%" height="15" fill="rgb(220,13,46)" fg:x="976" fg:w="11"/><text x="92.1521%" y="431.50"></text></g><g><title>do_sin (11 samples, 1.04%)</title><rect x="92.9379%" y="421" width="1.0358%" height="15" fill="rgb(239,221,27)" fg:x="987" fg:w="11"/><text x="93.1879%" y="431.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::cos (30 samples, 2.82%)</title><rect x="91.3371%" y="453" width="2.8249%" height="15" fill="rgb(222,198,25)" fg:x="970" fg:w="30"/><text x="91.5871%" y="463.50">st..</text></g><g><title>__cos_fma (30 samples, 2.82%)</title><rect x="91.3371%" y="437" width="2.8249%" height="15" fill="rgb(211,99,13)" fg:x="970" fg:w="30"/><text x="91.5871%" y="447.50">__..</text></g><g><title>libc_feholdsetround_sse_ctx (2 samples, 0.19%)</title><rect x="93.9736%" y="421" width="0.1883%" height="15" fill="rgb(232,111,31)" fg:x="998" fg:w="2"/><text x="94.2236%" y="431.50"></text></g><g><title>std::f64::&lt;impl f64&gt;::powi (2 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height="15" fill="rgb(238,224,15)" fg:x="1002" fg:w="38"/><text x="94.6003%" y="447.50">__ta..</text></g><g><title>libc_feholdsetround_sse_ctx (2 samples, 0.19%)</title><rect x="97.7401%" y="421" width="0.1883%" height="15" fill="rgb(241,136,10)" fg:x="1038" fg:w="2"/><text x="97.9901%" y="431.50"></text></g><g><title>num_complex::&lt;impl core::ops::arith::Mul&lt;num_complex::Complex&lt;f64&gt;&gt; for f64&gt;::mul (7 samples, 0.66%)</title><rect x="97.9284%" y="485" width="0.6591%" height="15" fill="rgb(208,32,45)" fg:x="1040" fg:w="7"/><text x="98.1784%" y="495.50"></text></g><g><title>bachelorarbeit::calc::integrate_complex (300 samples, 28.25%)</title><rect x="70.5273%" y="501" width="28.2486%" height="15" fill="rgb(207,135,9)" fg:x="749" fg:w="300"/><text x="70.7773%" y="511.50">bachelorarbeit::calc::integrate_complex</text></g><g><title>num_complex::opassign::&lt;impl core::ops::arith::AddAssign for num_complex::Complex&lt;T&gt;&gt;::add_assign (2 samples, 0.19%)</title><rect 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fg:w="983"/><text x="7.1238%" y="831.50">__libc_start_call_main</text></g><g><title>std::rt::lang_start (983 samples, 92.56%)</title><rect x="6.8738%" y="805" width="92.5612%" height="15" fill="rgb(210,199,37)" fg:x="73" fg:w="983"/><text x="7.1238%" y="815.50">std::rt::lang_start</text></g><g><title>std::rt::lang_start_internal (983 samples, 92.56%)</title><rect x="6.8738%" y="789" width="92.5612%" height="15" fill="rgb(244,192,49)" fg:x="73" fg:w="983"/><text x="7.1238%" y="799.50">std::rt::lang_start_internal</text></g><g><title>std::rt::lang_start::_{{closure}} (983 samples, 92.56%)</title><rect x="6.8738%" y="773" width="92.5612%" height="15" fill="rgb(226,211,11)" fg:x="73" fg:w="983"/><text x="7.1238%" y="783.50">std::rt::lang_start::_{{closure}}</text></g><g><title>std::sys_common::backtrace::__rust_begin_short_backtrace (983 samples, 92.56%)</title><rect x="6.8738%" y="757" width="92.5612%" height="15" fill="rgb(236,162,54)" fg:x="73" fg:w="983"/><text x="7.1238%" y="767.50">std::sys_common::backtrace::__rust_begin_short_backtrace</text></g><g><title>core::ops::function::FnOnce::call_once (983 samples, 92.56%)</title><rect x="6.8738%" y="741" width="92.5612%" height="15" fill="rgb(220,229,9)" fg:x="73" fg:w="983"/><text x="7.1238%" y="751.50">core::ops::function::FnOnce::call_once</text></g><g><title>bachelorarbeit::main (983 samples, 92.56%)</title><rect x="6.8738%" y="725" width="92.5612%" height="15" fill="rgb(250,87,22)" fg:x="73" fg:w="983"/><text x="7.1238%" y="735.50">bachelorarbeit::main</text></g><g><title>core::iter::traits::iterator::Iterator::collect (983 samples, 92.56%)</title><rect x="6.8738%" y="709" width="92.5612%" height="15" fill="rgb(239,43,17)" fg:x="73" fg:w="983"/><text x="7.1238%" y="719.50">core::iter::traits::iterator::Iterator::collect</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as core::iter::traits::collect::FromIterator&lt;T&gt;&gt;::from_iter (983 samples, 92.56%)</title><rect x="6.8738%" y="693" width="92.5612%" height="15" fill="rgb(231,177,25)" fg:x="73" fg:w="983"/><text x="7.1238%" y="703.50">&lt;alloc::vec::Vec&lt;T&gt; as core::iter::traits::collect::FromIterator&lt;T&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter::SpecFromIter&lt;T,I&gt;&gt;::from_iter (983 samples, 92.56%)</title><rect x="6.8738%" y="677" width="92.5612%" height="15" fill="rgb(219,179,1)" fg:x="73" fg:w="983"/><text x="7.1238%" y="687.50">&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter::SpecFromIter&lt;T,I&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter_nested::SpecFromIterNested&lt;T,I&gt;&gt;::from_iter (983 samples, 92.56%)</title><rect x="6.8738%" y="661" width="92.5612%" height="15" fill="rgb(238,219,53)" fg:x="73" fg:w="983"/><text x="7.1238%" y="671.50">&lt;alloc::vec::Vec&lt;T&gt; as alloc::vec::spec_from_iter_nested::SpecFromIterNested&lt;T,I&gt;&gt;::from_iter</text></g><g><title>&lt;alloc::vec::Vec&lt;T,A&gt; as alloc::vec::spec_extend::SpecExtend&lt;T,I&gt;&gt;::spec_extend (983 samples, 92.56%)</title><rect x="6.8738%" y="645" width="92.5612%" height="15" fill="rgb(232,167,36)" fg:x="73" fg:w="983"/><text x="7.1238%" y="655.50">&lt;alloc::vec::Vec&lt;T,A&gt; as alloc::vec::spec_extend::SpecExtend&lt;T,I&gt;&gt;::spec_extend</text></g><g><title>alloc::vec::Vec&lt;T,A&gt;::extend_trusted (982 samples, 92.47%)</title><rect x="6.9680%" y="629" width="92.4670%" height="15" fill="rgb(244,19,51)" fg:x="74" fg:w="982"/><text x="7.2180%" y="639.50">alloc::vec::Vec&lt;T,A&gt;::extend_trusted</text></g><g><title>core::iter::traits::iterator::Iterator::for_each (982 samples, 92.47%)</title><rect x="6.9680%" y="613" width="92.4670%" height="15" fill="rgb(224,6,22)" fg:x="74" fg:w="982"/><text x="7.2180%" 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diff --git a/bachelorarbeit/gauss_quad_lut.morello b/bachelorarbeit/gauss_quad_lut.morello
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diff --git a/bachelorarbeit/perf.data b/bachelorarbeit/perf.data
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diff --git a/bachelorarbeit/perf.data.old b/bachelorarbeit/perf.data.old
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diff --git a/bachelorarbeit/src/calc.rs b/bachelorarbeit/src/calc.rs
new file mode 100644
index 0000000..9ad9825
--- /dev/null
+++ b/bachelorarbeit/src/calc.rs
@@ -0,0 +1,221 @@
+use core::f64::consts::PI;
+use gauss_quad::GaussLegendre;
+use std::collections::HashMap;
+use std::io;
+use std::rc::Rc;
+
+use crate::gq_storage; // This should be moved to main.rs after new archtitecture (see main.rs TODO)
+
+pub type Complex = num::complex::Complex<f64>;
+
+const M_ROH: f64 = 0.7736; 
+const M_PI: f64 = 0.13957;
+pub const S0: f64 = 4.0 * M_PI * M_PI;
+const M_K: f64 = 0.496;
+const B0: f64 = 1.055;
+const B1: f64 = 0.15;
+const LAMBDA1: f64 = 1.57;
+const LAMBDA2: f64 = -1.96;
+const LAMBDA_HIGH: f64 = 10.0;
+pub const EPSILON: f64 = 1e-15;
+const S_MID_CUTOFF: f64 = 1.42 * 1.42;
+const INF: f64 = 1e5;
+
+#[derive(Default)]
+pub struct Cache {
+    pub gauss_quad_lut: HashMap<u32, (Rc<[f64]>, Rc<[f64]>), nohash_hasher::BuildNoHashHasher<u32>>, 
+    pub delta_lut: HashMap<u64, f64, nohash_hasher::BuildNoHashHasher<u64>>, 
+    pub omnes_lut: HashMap<u32, HashMap<u64, Complex, nohash_hasher::BuildNoHashHasher<u64>>, nohash_hasher::BuildNoHashHasher<u32>> // First key is n, second is s
+}
+
+impl Cache {
+    pub fn from_file(filepath: &str) -> io::Result<Cache> {
+        let me = Cache{
+            gauss_quad_lut: gq_storage::deserialize(filepath, |_| true)?.into_iter()
+            .map(|(roots, weights)| (u32::try_from(roots.len()).unwrap(), (Rc::from(roots), Rc::from(weights)))).collect(),
+            delta_lut: HashMap::with_hasher(Default::default()),
+            omnes_lut: HashMap::with_hasher(Default::default())
+        };
+        Ok(me)
+    }
+}
+
+// derivated values
+
+fn lambda_0() -> f64 {
+    delta((2.0*M_K).powi(2))
+}
+
+fn delta_mid_cutoff() -> f64 {
+    delta(S_MID_CUTOFF)
+}
+
+fn atan_shift(x: f64) -> f64 {
+    let atan_std: f64 = x.atan();
+    if atan_std < 0.0 {
+        atan_std + PI
+    } else {
+        atan_std
+    }
+}
+
+fn integrate<G:FnMut(f64) -> f64>(roots: &[f64], weights: &[f64], a:f64, b:f64, mut f: G) -> f64 {
+    let mut sum: f64 = 0.0;
+    let mut i: usize = 0;
+    if roots.len() != weights.len() {
+        panic!("Error: roots and weights are of different length");
+    }
+
+    while i < roots.len() {
+        sum += weights[i] * f(roots[i]*(b-a)/2.0 + (a+b)/2.0);
+        i += 1;
+    }
+    sum * (b-a)/2.0
+}
+
+fn integrate_complex<G:FnMut(f64) -> Complex>(roots: &[f64], weights: &[f64], a:f64, b:f64, mut f: G) -> Complex {
+    let mut sum: Complex = Complex::new(0.0,0.0);
+    let mut i: usize = 0;
+    if roots.len() != weights.len() {
+        panic!("Error: roots and weights are of different length");
+    }
+    while i < roots.len() {
+        sum += weights[i] * f(roots[i]*(b-a)/2.0 + (a+b)/2.0);
+        i += 1;
+    }
+    sum * (b-a)/2.0
+}
+
+fn omega(s: f64) -> f64 {
+    let a = s.sqrt();
+    let b = (1.05f64.powi(2) - s).sqrt();
+    (a - b) / (a + b)
+}
+
+fn k(s: f64) -> f64 {
+    (s/4.0 - M_PI.powi(2)).sqrt()
+}
+
+pub fn delta_with_lut(cache:&mut Cache, s: f64) -> f64 {
+    match cache.delta_lut.get(&s.to_bits()) {
+        Some(val) => {
+            *val
+        }
+        None => {
+            let val = delta(s);
+            cache.delta_lut.insert(s.to_bits(), val);
+            val
+        }
+    }
+}
+
+pub fn delta(s: f64) -> f64 {
+    if s <= 2.0 * M_K {
+        atan_shift(
+            (s.sqrt() / (2.0*k(s).powi(3))
+             * (M_ROH.powi(2) - s) 
+             * ( (2.0*M_PI.powi(3)) / (M_ROH.powi(2) * s.sqrt()) + B0 + B1 * omega(s))
+            ).powi(-1)
+        )
+    } else if s <= S_MID_CUTOFF {
+        let par = 0.5 * s.sqrt() / M_K - 1.0;
+        lambda_0() + LAMBDA1 * par + LAMBDA2 * par.powi(2)
+    } else {
+        PI + 
+        (delta_mid_cutoff() - PI)
+         * (LAMBDA_HIGH * LAMBDA_HIGH + S_MID_CUTOFF)
+         / (LAMBDA_HIGH * LAMBDA_HIGH + s)
+    }
+}
+
+pub fn omnes_integrand_tan(cache:&mut Cache, s_tick:f64, s:f64) -> Complex {
+    let sub = s_tick.tan();
+    (delta_with_lut(cache, sub) - delta_with_lut(cache, s)) 
+    / (
+        sub
+        * (sub - s + Complex::new(0.0, EPSILON)) 
+        * s_tick.cos().powi(2)
+    )
+}
+
+pub fn omnes_integrand(cache:&mut Cache, s_tick:f64, s:f64) -> Complex {
+    (delta_with_lut(cache, s_tick) - delta_with_lut(cache, s)) 
+    / (s_tick * (s_tick - s + Complex::new(0.0, EPSILON)))
+}
+
+pub fn omnes(cache:&mut Cache, s:f64, n:u32, use_tan: bool) -> Complex {
+    let roots: Rc<[f64]>;
+    let weights: Rc<[f64]>;
+
+    if let Some(inner_lut) = cache.omnes_lut.get(&n) {
+        if let Some(res) = inner_lut.get(&s.to_bits()) {
+            return *res
+        }
+    }
+    
+    if !cache.omnes_lut.contains_key(&n) {
+        cache.omnes_lut.insert(n, HashMap::with_hasher(Default::default()));
+    }   
+    
+    match cache.gauss_quad_lut.get_mut(&n) {
+        Some(gq_values) => {
+            roots = Rc::clone(&gq_values.0);
+            weights = Rc::clone(&gq_values.1);
+        }
+        None => {
+            let gq_values = GaussLegendre::nodes_and_weights(n.try_into().unwrap());    
+            roots = Rc::from(gq_values.0.as_slice());
+            weights = Rc::from(gq_values.1.as_slice());
+        }
+    }
+    
+    if !cache.gauss_quad_lut.contains_key(&n) {
+        let gq_values = GaussLegendre::nodes_and_weights(n.try_into().unwrap());
+        cache.gauss_quad_lut.insert(n, (Rc::from(gq_values.0), Rc::from(gq_values.1)));
+        println!("n_omnes={} is not included in the lookup file. Consider generating a new lookup file via the appropriate function in gq_storage.rs", n); 
+    }
+
+    let intgrl = if use_tan {
+        integrate_complex(&roots, &weights, S0.atan(), PI / 2.0, |s_tick| omnes_integrand_tan(cache, s_tick, s))
+    } else {
+        integrate_complex(&roots, &weights, S0, INF, |s_tick| omnes_integrand(cache, s_tick, s))
+    };
+    let omnes_res = (s/PI*(intgrl)).exp() * (S0 / Complex::new(S0 - s, -EPSILON)).powf(delta_with_lut(cache, s) / PI);
+    //cache.omnes_lut.get_mut(&n).unwrap().insert(s.to_bits(), omnes_res);
+    println!("{:?}", omnes_res);
+    omnes_res
+}
+
+pub fn phi0_integrand(cache:&mut Cache, x: f64, s: f64, n_omnes:u32, use_tan_omnes: bool) -> f64 {
+    let x_sub = x.tan().powi(2) + S0;
+    let omnes_s = omnes(cache, s, n_omnes, use_tan_omnes);
+    let omnes_x = omnes(cache, x_sub, n_omnes, use_tan_omnes);
+    (omnes_x / omnes_s).norm_sqr().ln()
+    / ( (x_sub)* (x_sub-s) )
+    / x.cos().powi(2) // Don't use x_sub here, since this term is from tan substitution itself
+}
+
+pub fn phi0(cache:&mut Cache, s: f64, n_omnes: u32, n_phi0: u32, use_tan_omnes: bool, use_tan_phi0: bool, use_xsub: bool) -> f64 {
+    if !cache.gauss_quad_lut.contains_key(&n_phi0) {
+        let gq_values = GaussLegendre::nodes_and_weights(n_phi0.try_into().unwrap());
+        cache.gauss_quad_lut.insert(n_phi0, (Rc::from(gq_values.0), Rc::from(gq_values.1)));
+        println!("n_omnes={} is not included in the lookup file. Consider generating a new lookup file via the appropriate function in gq_storage.rs", n_phi0);
+    }
+    let (ref roots, ref weights) = cache.gauss_quad_lut.get(&n_phi0).unwrap();
+    let (roots, weights) = (Rc::clone(roots), Rc::clone(weights));
+
+    let analyt = omnes(cache, s, n_omnes, use_tan_omnes).norm_sqr().ln() / S0.sqrt() / 2.0;
+    let intgrl = s / PI * integrate(&*roots, &*weights, 0.0, PI / 2.0, |x| phi0_integrand(cache,x,s,n_omnes, use_tan_omnes));
+    -(s-S0).sqrt() * (intgrl - analyt)
+}
+
+#[allow(unused)]
+pub fn bit_pattern_randomness_tester(a:f64, b:f64, n_points: u64) -> Vec<f64>{
+    let mut modulos = vec![0.0; n_points as usize];
+    let x_values: Vec<u64> = (0..modulos.len() as u32).map(|x| (f64::from(x) * ((b - a) / f64::from(modulos.len() as u32)) + a).to_bits()).collect();
+    for i in 0..x_values.len() {
+        let val = (x_values[i] % n_points) as usize;
+        modulos[val] += 1.0;
+    }
+    modulos
+}
diff --git a/bachelorarbeit/src/gq_storage.rs b/bachelorarbeit/src/gq_storage.rs
new file mode 100644
index 0000000..77c916c
--- /dev/null
+++ b/bachelorarbeit/src/gq_storage.rs
@@ -0,0 +1,84 @@
+//! This module writes and reads roots and weights of gauss-quad into files, using a dedicated file format.
+//! The format works as follows: One u64 is written, indicating the n of the roots and weights that follow
+//! (thereby hinting at the number of floats that are following before the next u64, which is 2*n). This is repeated for
+//! arbitrary n.
+
+#![allow(dead_code)]
+
+use std::{
+    fs::File,
+    io::{self, BufReader, BufWriter, Read, Write, Seek, SeekFrom},
+};
+
+use gauss_quad::GaussLegendre;
+
+/// Writes roots and weights of gauss-quad into a file at `filepath`. params contains roots and weights for multiple n.
+pub fn serialize(filepath: &str, params: Vec<(Vec<f64>, Vec<f64>)>) -> io::Result<()> {
+    let file = File::create(filepath)?;
+    let mut file = BufWriter::new(file);
+    for (roots, weights) in params.iter() {
+        file.write_all(&u64::try_from(roots.len()).unwrap().to_le_bytes())?;
+        for root in roots {
+            file.write_all(&root.to_bits().to_le_bytes())?;
+        }
+        for weight in weights {
+            file.write_all(&weight.to_bits().to_le_bytes())?;
+        }
+    }
+    Ok(())
+}
+
+pub fn deserialize(filepath: &str, filter: impl Fn(u64) -> bool) -> io::Result<Vec<(Vec<f64>, Vec<f64>)>> {
+    let file = File::open(filepath)?;
+    let mut file = BufReader::new(file);
+    let mut buf = [0u8; 8];
+
+    let mut values = Vec::new();
+
+    'outer: loop {
+        let res = file.read(&mut buf)?;
+        if res < 8 {
+            break;
+        }
+        let n = u64::from_le_bytes(buf);
+
+        // skips stored floats for n that should not be stored
+        if !filter(n) {
+            file.seek(SeekFrom::Current(i64::try_from(2*n*8).unwrap())).unwrap();
+            continue;
+        }
+        
+        // Stores roots and weights into values Vec
+
+        let mut roots = Vec::new();
+        for _ in 0..n {
+            let res = file.read(&mut buf)?;
+            if res < 8 {
+                break 'outer;
+            }
+            roots.push(f64::from_bits(u64::from_le_bytes(buf)));
+        }
+
+        let mut weights = Vec::new();
+        for _ in 0..n {
+            let res = file.read(&mut buf)?;
+            if res < 8 {
+                break 'outer;
+            }
+            weights.push(f64::from_bits(u64::from_le_bytes(buf)));
+        }
+        values.push((roots, weights));
+    }
+    Ok(values)
+}
+
+pub fn fill_with_gauss_quad(n_values: Vec<u64>) {
+    let mut params = Vec::new();
+    for i in n_values {
+        let gq = GaussLegendre::init(usize::try_from(i).unwrap());
+        params.push((gq.nodes, gq.weights));
+    }
+    serialize("./gauss_quad_lut.morello", params).unwrap();
+    let res = deserialize("./gauss_quad_lut.morello", |_| true);
+    println!("{:?}", res);
+}
\ No newline at end of file
diff --git a/bachelorarbeit/src/main.rs b/bachelorarbeit/src/main.rs
new file mode 100644
index 0000000..dd07f2d
--- /dev/null
+++ b/bachelorarbeit/src/main.rs
@@ -0,0 +1,247 @@
+
+// TODO
+// - Lookup Table implementieren -> Weights, roots schon früher rausziehen? 
+// -> Warum macht delta_lut alles langsamer?
+// - Omnes auch komplex integrieren (geht nicht mit Integralmethode von gauss-quad)
+// - Textfelder und "Berechnen"-Button in UI, um z.B. Wertebereich zu setzen
+// - Neue Architketur: struct calculator, das lookups speichert -> In die nötigen Funktionen übergeben. Dadurch kann man omnes auch als single calc machen und trotzdem die Punkte nur einmal berechnen
+// - AutoImport ausschalten
+
+
+use egui_plot::{log_grid_spacer, AxisHints, GridInput, GridMark, Legend, Line, Plot};
+use num::complex::ComplexFloat;
+use std::time::Instant;
+
+mod gq_storage;
+mod calc;
+
+struct App {
+    plot_data: Vec<PlotCurve>,
+    plots_available: [String; 6],
+    calc_cache: calc::Cache,
+    scaling_type: ScalingType, 
+    a: f64,
+    b: f64, 
+    n_points: u32,
+    n_omnes: u32,
+    n_phi0: u32,
+    use_tan_omnes: bool,
+    use_tan_phi0: bool,
+    use_xsub_phi0: bool
+}
+
+#[derive(Clone)]
+struct PlotCurve {
+    points: Vec<[f64;2]>,
+    name: String,
+}
+
+impl Default for App {
+    fn default() -> Self {
+        App {
+            plot_data: Vec::default(),
+            plots_available: ["Delta".to_string(), "Omnes Integrand".to_string(), "Omnes".to_string(), "Phi0 Integrand".to_string(), "Phi0".to_string(), "Prozentueller Fehler".to_string()],
+            calc_cache: calc::Cache::default(),
+            scaling_type: ScalingType::default(),
+            a: calc::S0,
+            b: 9.0,
+            n_points: 5000,
+            n_omnes:1000,
+            n_phi0:1000,
+            use_tan_omnes: true,
+            use_tan_phi0: true,
+            use_xsub_phi0: true
+        }
+    }
+}
+
+#[derive(Debug, Default, PartialEq, Clone, Copy)]
+enum ScalingType {
+    Logarithmic, 
+    #[default]
+    Linear
+}
+
+impl eframe::App for App {
+    fn update(&mut self, ctx: &egui::Context, _frame: &mut eframe::Frame) {
+        egui::CentralPanel::default().show(ctx, |ui| {
+            let cur_scaling_type = self.scaling_type;
+            egui::ComboBox::from_label("pick y-scaling").selected_text(format!("{:?}", self.scaling_type)).show_ui(ui, |ui| {
+                ui.selectable_value(&mut self.scaling_type, ScalingType::Logarithmic, "log10");
+                ui.selectable_value(&mut self.scaling_type, ScalingType::Linear, "linear");
+            });
+
+            float_text_edit_singleline(ui, &mut self.a);
+            float_text_edit_singleline(ui, &mut self.b);
+            int_text_edit_singleline(ui, &mut self.n_points);
+            int_text_edit_singleline(ui, &mut self.n_omnes);
+            int_text_edit_singleline(ui, &mut self.n_phi0);
+
+            ui.checkbox(&mut self.use_tan_omnes, "Use tan()-subst. for Omnes");
+            ui.checkbox(&mut self.use_tan_phi0, "Use tan()-subst. for Phi0");
+            ui.checkbox(&mut self.use_xsub_phi0, "Use second subst. for Phi0");
+            
+            let button_clear = ui.button("Clear canvas");
+            if button_clear.clicked() {
+                self.plot_data = Vec::new();
+            }
+
+            for i in 0..self.plots_available.len() {
+                let button = ui.button( format!("Calculate {}", self.plots_available[i].clone()));
+                if button.clicked() {
+                    let x_values: Vec<f64> = (0..self.n_points).map(|x| -> f64 {f64::from(x) * ((self.b - self.a) / f64::from(self.n_points)) + self.a}).collect();
+                    match i {
+                        0 => {
+                            let y_values_delta:Vec<f64> = x_values.iter().map(|&x| calc::delta_with_lut(&mut self.calc_cache, x)).collect();
+                            self.plot_data.push(PlotCurve {
+                                points: x_values.iter().zip(y_values_delta.iter()).map(|(&x,&y)| [x.powf(0.5),y]).collect(),
+                                name: "Delta".to_string()
+                            })
+                        }
+                        1 => {
+                            let y_values_omnes_integrand: Vec<f64> = x_values.iter().map(|&x| calc::omnes_integrand(&mut self.calc_cache, x, 100.0).abs()).collect();
+                            self.plot_data.push(PlotCurve {
+                                points: x_values.iter().zip(y_values_omnes_integrand.iter()).map(|(&x,&y)| [x.powf(0.5),y]).collect(),
+                                name: "Omnes Integrand".to_string()
+                            })
+                        }
+                        2 => {
+                            let y_values_omnes: Vec<f64> = x_values.iter().map(|&x| calc::omnes(&mut self.calc_cache, x, self.n_omnes, self.use_tan_omnes).abs().powi(2)).collect();
+                            self.plot_data.push(PlotCurve {
+                                points: x_values.iter().zip(y_values_omnes.iter()).map(|(&x,&y)| [x.powf(0.5),y]).collect(),
+                                name: "Omnes".to_string()
+                            })
+                        }
+                        3 => {
+                            let y_values_phi0_integrand: Vec<f64> = x_values.iter().map(|&x| calc::phi0_integrand(&mut self.calc_cache, x, 10000.0, self.n_omnes, self.use_tan_omnes)).collect();
+                            self.plot_data.push(PlotCurve {
+                                points: x_values.iter().zip(y_values_phi0_integrand.iter()).map(|(&x,&y)| [x.powf(0.5),y]).collect(),
+                                name: "Phi0 Integrand".to_string()
+                            })
+                        }
+                        4 => {
+                            let t0 = Instant::now();
+                            let y_values_phi0: Vec<f64> = x_values.iter().map(|&x| calc::phi0(&mut self.calc_cache, x, self.n_omnes, self.n_phi0, self.use_tan_omnes, self.use_tan_phi0, self.use_xsub_phi0)).collect();
+                            println!("{:?}", t0.elapsed());
+                            self.plot_data.push(PlotCurve {
+                                points: x_values.iter().zip(y_values_phi0.iter()).map(|(&x,&y)| [x.powf(0.5),y]).collect(),
+                                name: "Phi0".to_string()
+                            })
+                            // let y_values_phi0 = calc::bit_pattern_randomness_tester(self.a, self.b, self.n_points as u64);
+                            // self.plot_data.push(PlotCurve {
+                            //     points: (0..self.n_points).zip(y_values_phi0.iter()).map(|(x,&y)| [x as f64,y]).collect(),
+                            //     name: "Phi0".to_string()
+                            // })
+                        }
+                        5 => {
+                            let y_values_phi0: Vec<f64> = x_values.iter().map(|&x| {
+                                let t0 = Instant::now();
+                                let val = calc::phi0(&mut self.calc_cache, x.powi(2), self.n_omnes, self.n_phi0, self.use_tan_omnes, self.use_tan_phi0, self.use_xsub_phi0) / calc::delta_with_lut(&mut self.calc_cache, x.powi(2)) - 1.0;
+                                println!("time for x = {}: {:?}", x, t0.elapsed());
+                                val
+                            }).collect();
+                            self.plot_data.push(PlotCurve {
+                                points: x_values.iter().zip(y_values_phi0.iter()).map(|(&x,&y)| [x,y]).collect(),
+                                name: "Phi0".to_string()
+                            })                            
+                        }
+                        6_usize.. => {
+                            panic!("Not all buttons have been assigned data!");
+                        }
+                    }
+                }
+            }
+            
+            if self.scaling_type != cur_scaling_type {
+                for curve in self.plot_data.iter_mut() {    
+                    for [_x,y] in curve.points.iter_mut() {
+                        if self.scaling_type == ScalingType::Linear {
+                            *y = 10.0f64.powf(*y);
+                        } else if self.scaling_type == ScalingType::Logarithmic {
+                            *y = y.log10();
+                        }
+                    }
+                }
+            }
+
+            let plot = Plot::new("my_plot")
+                .grid_spacing(5.0f32..=300.0f32)
+                .x_axis_label("sqrt(s) [GeV]")
+                .y_axis_label("|Omega|^2")
+                .legend(Legend::default());
+
+            let plot = match self.scaling_type {
+                ScalingType::Linear => plot.custom_y_axes(vec![AxisHints::new_y().formatter(|mark, _l, _| scientific_notation(mark.value, false))]),
+                ScalingType::Logarithmic => {plot.y_grid_spacer(|input| {
+                        let input_exp = GridInput {bounds: (inverse_log_map(input.bounds.0), inverse_log_map(input.bounds.1)), base_step_size: input.base_step_size};
+                        let lin_gridmarks = (log_grid_spacer(10))(input_exp);
+                        let mut log_gridmarks: Vec<GridMark> = Vec::new();
+                        for v in lin_gridmarks.iter() {
+                            if v.value - v.value.floor() < 0.9 {
+                                log_gridmarks.push(GridMark{value:log_map(v.value), step_size:v.step_size / 1.14}); 
+                            }        
+                        }
+                        log_gridmarks
+                    })
+                    .label_formatter(|_,point| format!("x = {:.5}\ny = {:.5}", point.x, 10.0f64.powf(point.y)).to_string())
+                    .custom_y_axes(vec![AxisHints::new_y().formatter(|mark, _l, _| scientific_notation(mark.value, true))])
+                }
+            };
+            
+            plot.show(ui, |plot_ui| {
+                for i in 0..self.plot_data.len() {
+                    plot_ui.line(Line::new(self.plot_data[i].points.clone()).name(self.plot_data[i].name.clone())); // is clone necessary?
+                }
+            });
+        });
+    }
+}
+
+fn main() {
+    let mut app = App::default();
+    app.calc_cache = calc::Cache::from_file("./gauss_quad_lut.morello").unwrap();
+    // let x_values: Vec<f64> = (0..app.n_points).map(|x| -> f64 {f64::from(x) * ((app.b - app.a) / f64::from(app.n_points)) + app.a}).collect();
+    // let t0 = Instant::now();
+    // let y_values_phi0: Vec<f64> = x_values.iter().map(|&x| calc::phi0(&mut app.calc_cache, x, app.n_omnes, app.n_phi0)).collect();
+    // std::hint::black_box(&y_values_phi0);
+    // println!("{:?}", t0.elapsed());
+
+    eframe::run_native("Morellus", eframe::NativeOptions::default(), Box::new(|_cc| Box::new(app))).unwrap();
+}
+
+fn log_map(x:f64) -> f64 {
+    x.floor() + (1.0 + (x - x.floor()) * 10.0).log10()
+}
+
+fn inverse_log_map(x:f64) -> f64 {
+    x.floor() + (10f64.powf(x - x.floor()) - 1.0) / 10.0
+}
+
+fn scientific_notation(x:f64, log:bool) -> String { 
+    if log {
+        format!("{}*10^{}", format!(
+            "{:.15}", 10f64.powf(x - x.floor()))
+            .trim_end_matches('0').trim_end_matches('.').to_string(),
+            x.floor()).to_string()
+    } else {
+        format!("{:.9}", x).trim_end_matches('0').trim_end_matches('.').to_string()
+    }
+}
+
+fn int_text_edit_singleline(ui: &mut egui::Ui, value: &mut u32) -> egui::Response {
+    let mut tmp_value = format!("{}", value);
+    let res = ui.text_edit_singleline(&mut tmp_value);
+    if let Ok(result) = tmp_value.parse::<u32>() {
+        *value = result;
+    }
+    res
+}
+
+fn float_text_edit_singleline(ui: &mut egui::Ui, value: &mut f64) -> egui::Response {
+    let mut tmp_value = format!("{}", value);
+    let res = ui.text_edit_singleline(&mut tmp_value);
+    if let Ok(result) = tmp_value.parse::<f64>() {
+        *value = result;
+    }
+    res
+}
\ No newline at end of file
diff --git a/bachelorarbeit/text.txt b/bachelorarbeit/text.txt
new file mode 100644
index 0000000..d2f608a
--- /dev/null
+++ b/bachelorarbeit/text.txt
@@ -0,0 +1,19 @@
+BTreeMap: 1.2234s
+    phi0_integrand: 
+        omnes: 29.30%
+            get: 22.87%
+            integrate_complex: 5.01%
+                        delta_with_lut 
+                            get: 2.50%
+    omnes_integrand: 37.98%
+        delta_with_lut -> get: 22.20%
+
+HashMap: 1.0767s
+    phi0_integrand: 
+        omnes: 35.22%
+            get: 30.40%
+            integrate_complex: 3.95%
+                        delta_with_lut 
+                            get: 1.88%
+    omnes_integrand: 27.21%
+        delta_with_lut -> get: 14.03%
diff --git a/calc.py b/calc.py
new file mode 100644
index 0000000..c445eff
--- /dev/null
+++ b/calc.py
@@ -0,0 +1,34 @@
+import math
+
+m_e = 9.10938e-31
+e = 1.602e-19
+pi = 3.141592
+epsilon_0 = 8.854e-12
+h_bar = 1.05457e-34
+h=6.626e-34
+c=299792458
+my_B=9.274e-24
+k_B=1.381e-23
+avog=6.022e26
+m_Kalium=39.0983/avog
+
+def E(n):
+    return -m_e*e**4 / (2*(4*pi*epsilon_0*h_bar*n)**2)
+
+def dE(n1,n2):
+    return -m_e*e**4 / (2*(4*pi*epsilon_0*h_bar)**2) * (1/n2**2 - 1/n1**2)
+
+def lamb(E1,E2):
+    return c*h*(E1-E2)**-1 
+
+# print(E(3))
+# print(E(2))
+# print(lamb(E(3),E(2)-2*my_B*2)*10**9)
+Ekin = 3/2*k_B*600
+v_x = math.sqrt(2*Ekin/m_Kalium)
+t_acc = 0.2 / v_x
+F = my_B * 2
+d = 1/2*F/m_Kalium*t_acc**2
+v_z_end = F/m_Kalium*t_acc
+print(v_z_end/v_x)
+print(1.492+0.1492)
\ No newline at end of file
diff --git a/ersterTest.py b/ersterTest.py
new file mode 100644
index 0000000..269cc1a
--- /dev/null
+++ b/ersterTest.py
@@ -0,0 +1,280 @@
+import numpy as np
+import matplotlib.pyplot as plt
+from scipy.special import roots_legendre
+import cmath
+from time import time
+
+# constant values (GeV)
+
+M_roh = 0.7736
+M_pi = 0.13957
+s_0 = 4*M_pi**2
+M_K = 0.496
+B_0 = 1.055
+B_1 = 0.15
+lambda_1 = 1.57
+lambda_2 = -1.96
+lambda_high = 10
+epsilon = 0.000000001
+s_mid_high = 1.42**2 # this is the s value, so it is in GeV^2
+
+# derivative values
+lambda_0 = 0 # this is fixed by the low energy parametrization: lambda_0 = delta1_low(4M_K**2) (sqrt(s)=2M_K)
+delta1_mid_high = 0 # again, this is fixed by the value of delta1_mid at 1.42 GeV (see later in the code)
+
+# Numerical constants
+gl_n_omnes = 100 # number of points used in the Gauss Legendre Integration
+gl_n_phi0 = 100
+
+gl_lookup = {}
+omnes_lookup = {}
+delta_lookup = {}
+
+# Print iterations progress
+def printProgressBar (iteration, total, prefix = '', suffix = '', decimals = 1, length = 100, fill = '█', printEnd = "\r"):
+    """
+    Call in a loop to create terminal progress bar
+    @params:
+        iteration   - Required  : current iteration (Int)
+        total       - Required  : total iterations (Int)
+        prefix      - Optional  : prefix string (Str)
+        suffix      - Optional  : suffix string (Str)
+        decimals    - Optional  : positive number of decimals in percent complete (Int)
+        length      - Optional  : character length of bar (Int)
+        fill        - Optional  : bar fill character (Str)
+        printEnd    - Optional  : end character (e.g. "\r", "\r\n") (Str)
+    """
+    percent = ("{0:." + str(decimals) + "f}").format(100 * (iteration / float(total)))
+    filledLength = int(length * iteration // total)
+    bar = fill * filledLength + '-' * (length - filledLength)
+    print(f'\r{prefix} |{bar}| {percent}% {suffix}', end = printEnd)
+    # Print New Line on Complete
+    if iteration == total: 
+        print()
+
+''' the standard implementation of arctan gives angles in (-pi/2, pi/2). This gives angles in (0, pi). Note: This doesn't imply a simple shift of all values by pi, but a transposition of the results from (-pi/2, 0) to (pi/2, pi).'''
+def arctan_shift(x):
+	atan_std = np.arctan(x)
+	if atan_std < 0:
+		return atan_std + np.pi
+	return atan_std
+	
+def log_shift(x):
+	log_std = cmath.log(x)
+	if log_std.imag < 0:
+		return 2*np.pi*1j + log_std
+	else:
+		return log_std
+
+def omega(s):
+    # in this instance, Elena uses s_0**(1/2) = 1.05 GeV, but later she uses s_0 = 4*M_pi**2
+	a = np.sqrt(s) 
+	b = np.sqrt(1.05**2 - s)
+	return (a - b) / (a + b)
+	
+
+# ----------------
+# Delta function section
+# ----------------
+
+def k(s):
+	return np.sqrt(s/4-M_pi**2)
+
+def delta1_low(s):
+    #a = np.sqrt(s) / (2*k(s)**3) * (M_roh**2 - s) * ( (2*M_pi**3) / (M_roh**2*np.sqrt(s)) + B_0 + B_1*omega(s) )
+    return arctan_shift((np.sqrt(s) / (2*k(s)**3) * (M_roh**2 - s) * ( (2*M_pi**3)/(M_roh**2*np.sqrt(s)) + B_0 + B_1*omega(s)))**-1)
+
+def delta1_mid(s):
+	return lambda_0 + lambda_1 * (0.5*np.sqrt(s) / M_K - 1) + lambda_2 * (0.5*np.sqrt(s) / M_K - 1)**2
+
+def delta1_high(s):
+	return np.pi + (delta1_mid_high - np.pi) * (lambda_high**2 + s_mid_high) / (lambda_high**2 + s)
+	
+
+def delta(s):
+	# if s in delta_lookup:
+		# return delta_lookup[s]
+	# if s < (2*M_K)**2:
+		# delta_lookup[s] = delta1_low(s)
+	# elif s < s_mid_high:
+		# delta_lookup[s] = delta1_mid(s)
+	# else:
+		# delta_lookup[s] = delta1_high(s)
+	# return delta_lookup[s]
+	if s < (2*M_K)**2:
+		return delta1_low(s)
+	elif s < s_mid_high:
+		return delta1_mid(s)
+	else:
+		return delta1_high(s)
+		
+		
+# set cutoff values
+lambda_0 = delta1_low((2*M_K)**2)
+delta1_mid_high = delta1_mid(s_mid_high)
+		
+		
+# ----------------
+# Omnes Integral section
+# ----------------
+
+delta_time = 0
+
+def omnes_integrand(s_tick,s):
+    global delta_time
+    delta_s_tick = delta(s_tick)
+    delta_s = delta(s)
+    return (delta_s_tick - delta_s)/(s_tick*(s_tick-s+epsilon*1j))
+
+
+def integral_gl(f,s,a,b,n, prog=False):
+	if n not in gl_lookup:
+		# print("now calculating roots, weights")
+		t0 = time()
+		gl_lookup[n]  = roots_legendre(n)
+		#print("time to calculate roots and weights with n={}: {} seconds".format(n,time() - t0))
+	roots, weights = gl_lookup[n]
+	sum = 0
+	for i in range(n):
+		if prog:
+			printProgressBar(i,n)
+		sum += weights[i]*f(roots[i]*(b-a)/2 + (a+b)/2,s)
+	sum *= (b-a)/2
+	return sum
+
+def subst(f, phi, phi_deriv):
+    return lambda x,s : f(phi(x),s)*phi_deriv(x)
+
+def integral_gl_tan_reparam(f,s,a,b,n, prog=False):
+    return integral_gl(subst(f,np.tan,lambda x : (1 / np.cos(x)**2)),s,np.arctan(a),np.pi / 2,n,prog)
+
+def omnes(s, a=s_0, inf = 10000000000, optimized = True, n = gl_n_omnes):
+	if s in omnes_lookup:
+		return omnes_lookup[s]
+	elif optimized:
+		analyt = delta(s) / s * cmath.log(((inf-s-epsilon*1j)*a) / ((a-s-epsilon*1j)*inf))
+		res = cmath.exp(s/np.pi*(integral_gl_tan_reparam(omnes_integrand,s,a,inf,n) + analyt))
+		#omnes_lookup[s] = res
+		return res
+	else:
+		res = cmath.exp(s/np.pi*(integral_gl(omnes_integrand,s,a,inf,n)+delta(s) / s * cmath.log(((inf-s-epsilon*1j)*a) / ((a-s-epsilon*1j)*inf))))
+		#omnes_lookup[s] = res
+		return res
+		# A more easily readible version of the formula
+		# if optimized == True:  
+		# 	m = integral_gl_tan_reparam(omnes_integrand,s,a,inf,n)-
+		# else: 
+		# 	m = integral_gl(omnes_integrand,s,a,inf,n)
+		# n = ((inf-s-epsilon*1j)*a) / ((a-s-epsilon*1j)*inf)
+		# p = delta(s) / s * cmath.log(n)
+		# omnes_lookup[s] = cmath.exp(s/np.pi*(m+p))
+		# if s > 0.74**2 and s < 0.76**2:
+		#	print(s, m, n, p, cmath.exp(s/np.pi*(m+p)))
+		# return cmath.exp(s/np.pi*(m+p))
+
+# ----------------
+# Phase reconstruction section
+# ----------------
+
+def phi0_integrand_bad(s_tick, s): 
+	omnes_s = omnes(s)
+	omnes_s_tick = omnes(s_tick)
+	#a = np.log(cmath.polar(omnes_s_tick / omnes_s)[0]**2)
+	#b = np.sqrt(s_tick - s_0) * s_tick * (s_tick - s)
+	return np.log(cmath.polar(omnes_s_tick / omnes_s)[0]**2) / (np.sqrt(s_tick - s_0) * s_tick * (s_tick - s))
+
+def phi0_integrand(x, s):
+	omnes_s = omnes(s)
+	omnes_x = omnes(x**2 + s_0)
+	
+	#a = np.log(cmath.polar(omnes_s_tick / omnes_s)[0]**2)
+	#b = np.sqrt(s_tick - s_0) * s_tick * (s_tick - s)
+	return 2*np.log(cmath.polar(omnes_x / omnes_s)[0]**2) / ((s_0 + x**2) * (s_0 + x**2 - s))
+
+def phi0(s, a=0, inf = 100000, optimized = True, n = gl_n_phi0):
+	c = np.pi / (s * np.sqrt(s_0)) * np.log(cmath.polar(omnes(s))[0]**2)
+	
+	if optimized == True:
+		integral = integral_gl_tan_reparam(phi0_integrand, s, a, inf, n, False)
+	else:
+		integral = integral_gl(phi0_integrand, s, a, inf, n)
+	return -s * np.sqrt(s-s_0) / (2*np.pi) * (integral - c)
+
+# ----------------
+# Plotting section
+# ----------------
+
+
+fig, ax = plt.subplots()
+
+# these are sqrt(s) values, not s
+x = np.linspace(s_0**0.5+0.001,3,500)
+#x = np.linspace(0.7, 0.85, 500)
+x_to_pi2 = np.linspace(np.arctan(s_0)**0.5+0.001,(np.pi/2)**0.5,5000)
+
+y_delta = [delta(i**2) for i in x]
+#y1 = [cmath.polar(omnes_integrand(i**2,0.73))[0]**2 for i in x]
+#y2 = [cmath.polar(omnes_integrand(i**2,0.73965))[0]**2 for i in x]
+#y3 = [cmath.polar(omnes_integrand(i**2,0.75))[0]**2 for i in x]
+#y_omnes_integrand_tan = [cmath.polar(omnes_integrand(np.tan(i**2),2) / np.cos(i**2)**2)[0]**2 for i in x_to_pi)]
+#y_omnes_acc = [cmath.polar(omnes(i**2, optimized=True))[0]**2 for i in x]
+#y_omnes_best = [cmath.polar(omnes(i**2, inf=10000, n = 10000))[0]**2 for i in x]
+#y_phi0_integrand = [phi0_integrand(i**2, 2) for i in x]
+#y_phi0_integrand_tan = [phi0_integrand(np.tan(i**2), 0.8)*1/np.cos(i**2)**2 for i in x_to_pi2]
+#y_phi0_integrand_tan2 = [phi0_integrand(np.tan(i**2), 10000)*1/np.cos(i**2)**2 for i in x_to_pi2]
+#y_phi0_integrand2 = [phi0_integrand(i**2, 0.8035457451490298) for i in x_phi0]
+
+'''
+for n in [10,100,1000,10000]:
+	print("Phi0 for n_omnes={}, n_phi0={}: {}".format(gl_n_omnes, n, phi0(100**2, n=n)))
+'''
+
+'''
+n_values = [10,100,1000,10000,100000]
+y_phi0 = [[] for _ in n_values]
+for (i_n,n) in enumerate(n_values):
+	
+# 	for (i,val) in enumerate(x):
+# 		y_phi0[i_n].append(phi0(val**2, n = n))
+# 		printProgressBar(i,len(x))
+	print("Ready with {}".format(n))
+	print()
+'''
+# Test sensitivity of phi0 to n compared to omnes
+'''
+n_values = np.arange(5, 4000, 25)
+y_omnes_n_cmp = [cmath.polar(omnes(0.8**2, n=i))[0]**2 for i in n_values]
+y_phi0_n_cmp = [phi0(0.8**2, n=i) for i in n_values]
+ax.plot(n_values, y_omnes_n_cmp, label = "omnes")
+ax.plot(n_values, y_phi0_n_cmp, label = "phi0")
+'''
+
+ax.plot(x, y_delta, label = r"$\delta$")
+#ax.plot(x, y2, label = "delta")
+#ax.plot(x, y3, label = "delta")
+#ax.plot(x_to_pi2, y_omnes_integrand_tan, label = r"$\Omega$ integrand w/ tan-param.")
+#ax.plot(x, y_omnes, label = r'${|\Omega (s)|}^2$')
+#ax.plot(x, y_omnes_acc, label = r'${|\Omega (s)|}^2$, reparam')
+#ax.plot(x, y_omnes_best, label = r'${|\Omega (s)|}^2$, but best')
+#ax.plot(x, y_phi0_integrand, label = r'$\phi_0$ Integrand')
+#ax.plot(x_to_pi2, y_phi0_integrand_tan, label = r'$\phi_0$ integrand w/ tan-param.')
+#ax.plot(x_to_pi2, y_phi0_integrand_tan2, label = r'$\phi_0$ integrand w/ tan-param, s=10000.')
+#ax.plot(x_phi0, y_phi0_integrand2, label = r'$\phi_0$ Integrand2')
+#for (i,y) in enumerate(y_phi0):
+	#ax.plot(x, y, label = r'$\phi_0, n={}$'.format(i))
+
+# t0 = time()
+# y_phi0 = [phi0(i**2) for i in x]
+# ax.plot(x, y_phi0)
+# print(time() - t0)
+
+t0 = time()
+print(phi0(10000, n=100))
+print(time() - t0)
+
+# ax.legend()
+# #plt.yscale('log')
+# ax.grid(which='major', color='#A4A4A4', linewidth=1)
+# ax.grid(which='minor', color='#B5B5B5', linestyle=':', linewidth=0.5)
+# ax.minorticks_on()
+# plt.show()
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