Profiling results ----------------- Total cpu time observed: 5844ms (out of 6108ms) Number of samples taken: 29 (once every 202ms) ============================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ============================================================================== [1] 5844(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [11] 100.0% ------------------------------------------------------------------------------ ??? [59] 100.0% [2] 1430(24.5%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [12] 82.7% for-loop [16] 17.3% ------------------------------------------------------------------------------ hash-ref! [65] 100.0% [3] 418(7.2%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [14] 100.0% ------------------------------------------------------------------------------ loop [95] 100.0% [4] 398(6.8%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [13] 100.0% ------------------------------------------------------------------------------ hash-ref! [65] 100.0% [5] 398(6.8%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [15] 100.0% ------------------------------------------------------------------------------ hash-ref! [65] 100.0% [6] 390(6.7%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:406:23 for-loop [17] 51.8% for-loop [19] 48.2% ------------------------------------------------------------------------------ loop [95] 100.0% [7] 200(3.4%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [13] 100.0% ------------------------------------------------------------------------------ matcher [76] 100.0% [8] 192(3.3%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [18] 100.0% ------------------------------------------------------------------------------ hash-ref! [65] 100.0% [9] 188(3.2%) 0(0.0%) f40 (unknown source) map [80] 100.0% ------------------------------------------------------------------------------ loop [86] 100.0% [10] 184(3.1%) 0(0.0%) ??? ...herbie/findroot/src/core/localize.rkt:50:36 ulp-difference [36] 100.0% ------------------------------------------------------------------------------ ??? [1] 100.0% [11] 5844(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [20] 100.0% ------------------------------------------------------------------------------ approximate9 [2] 100.0% [12] 1182(20.2%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 ??? [59] 100.0% ------------------------------------------------------------------------------ expand-id-application-form17 [7] 33.4% syntax-e [4] 66.6% [13] 598(10.2%) 0(0.0%) syntax-e/no-taint (unknown source) loop [95] 100.0% ------------------------------------------------------------------------------ ??? [3] 100.0% [14] 418(7.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [65] 100.0% ------------------------------------------------------------------------------ ??? [5] 100.0% [15] 398(6.8%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [65] 54.3% f61 [21] 45.7% ------------------------------------------------------------------------------ approximate9 [2] 100.0% [16] 248(4.2%) 0(0.0%) for-loop ...bie/findroot/src/core/taylor.rkt:29:18 taylor [22] 100.0% ------------------------------------------------------------------------------ ??? [6] 100.0% [17] 202(3.5%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:410:33 hash-ref! [65] 100.0% ------------------------------------------------------------------------------ ??? [8] 100.0% [18] 192(3.3%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [65] 100.0% ------------------------------------------------------------------------------ ??? [6] 100.0% [19] 188(3.2%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:412:39 hash-ref! [65] 100.0% ------------------------------------------------------------------------------ profile-thunk16 [11] 100.0% [20] 5844(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [23] 100.0% ------------------------------------------------------------------------------ for-loop [15] 45.7% hash-ref! [65] 54.3% [21] 398(6.8%) 0(0.0%) f61 (unknown source) eval-const-expr [24] 100.0% ------------------------------------------------------------------------------ for-loop [16] 33.3% taylor [22] 66.7% [22] 248(4.2%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [22] 66.7% debug-print [25] 33.3% ------------------------------------------------------------------------------ for-loop [67] 6.7% run [20] 93.3% [23] 5844(100.0%) 196(3.4%) .../more-scheme.rkt:261:28 (unknown source) run-improve47 [26] 57.8% prepare-points-intervals [27] 27.2% ??? [59] 3.3% eval-errors [28] 3.3% oracle-error [29] 3.3% ??? [101] 1.7% errors [60] 1.7% ------------------------------------------------------------------------------ f61 [21] 33.7% parse-loop74 [83] 66.3% [24] 1182(20.2%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [64] 100.0% ------------------------------------------------------------------------------ taylor [22] 100.0% [25] 248(4.2%) 248(4.2%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 100.0% [26] 3674(62.9%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [30] 100.0% ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 100.0% [27] 1590(27.2%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [31] 100.0% ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 100.0% [28] 194(3.3%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [32] 100.0% ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 100.0% [29] 190(3.3%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [33] 100.0% ------------------------------------------------------------------------------ run-improve47 [26] 100.0% [30] 3674(62.9%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [34] 100.0% ------------------------------------------------------------------------------ prepare-points-intervals [27] 100.0% [31] 1590(27.2%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [35] 87.8% ??? [37] 12.2% ------------------------------------------------------------------------------ eval-errors [28] 100.0% [32] 194(3.3%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ulp-difference [36] 100.0% ------------------------------------------------------------------------------ oracle-error [29] 100.0% [33] 190(3.3%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [95] 100.0% ------------------------------------------------------------------------------ for-loop [30] 100.0% [34] 3674(62.9%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 gen-series! [38] 38.9% finalize-iter! [39] 32.4% simplify! [40] 18.5% gen-rewrites! [43] 5.2% localize! [44] 5.0% ------------------------------------------------------------------------------ loop [31] 100.0% [35] 1396(23.9%) 398(6.8%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [59] 28.7% ??? [41] 28.5% real->precision [42] 14.3% ------------------------------------------------------------------------------ ??? [10] 48.7% for-loop [32] 51.3% [36] 378(6.5%) 194(3.3%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 ??? [59] 48.7% ------------------------------------------------------------------------------ loop [31] 100.0% [37] 194(3.3%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 ??? [41] 100.0% ------------------------------------------------------------------------------ run-iter! [34] 100.0% [38] 1430(24.5%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [45] 100.0% ------------------------------------------------------------------------------ run-iter! [34] 100.0% [39] 1190(20.4%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [46] 100.0% ------------------------------------------------------------------------------ run-iter! [34] 100.0% [40] 678(11.6%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [47] 100.0% ------------------------------------------------------------------------------ ??? [37] 32.8% loop [35] 67.2% [41] 592(10.1%) 194(3.3%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-add [48] 67.2% ------------------------------------------------------------------------------ loop [35] 100.0% [42] 200(3.4%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [59] 100.0% ------------------------------------------------------------------------------ run-iter! [34] 100.0% [43] 192(3.3%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [49] 100.0% ------------------------------------------------------------------------------ run-iter! [34] 100.0% [44] 184(3.1%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [50] 100.0% ------------------------------------------------------------------------------ gen-series! [38] 100.0% [45] 1430(24.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [51] 100.0% ------------------------------------------------------------------------------ finalize-iter! [39] 100.0% [46] 1190(20.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [52] 100.0% ------------------------------------------------------------------------------ simplify! [40] 100.0% [47] 678(11.6%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [53] 100.0% ------------------------------------------------------------------------------ ??? [41] 100.0% [48] 398(6.8%) 202(3.5%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfmul [74] 49.2% ------------------------------------------------------------------------------ gen-rewrites! [43] 100.0% [49] 192(3.3%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [54] 100.0% ------------------------------------------------------------------------------ localize! [44] 100.0% [50] 184(3.1%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [65] 100.0% ------------------------------------------------------------------------------ for-loop [45] 100.0% [51] 1430(24.5%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [55] 100.0% ------------------------------------------------------------------------------ ??? [46] 100.0% [52] 1190(20.4%) 0(0.0%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [56] 83.2% errors [60] 16.8% ------------------------------------------------------------------------------ ??? [47] 100.0% [53] 678(11.6%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [57] 100.0% ------------------------------------------------------------------------------ for-loop [49] 100.0% [54] 192(3.3%) 0(0.0%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [58] 100.0% ------------------------------------------------------------------------------ taylor-alt [51] 100.0% [55] 1430(24.5%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [59] 100.0% ------------------------------------------------------------------------------ for-loop [52] 100.0% [56] 990(16.9%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [60] 80.2% for-loop [62] 19.8% ------------------------------------------------------------------------------ egraph-run [53] 100.0% [57] 678(11.6%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [61] 100.0% ------------------------------------------------------------------------------ rewrite-expression-head24 [54] 20.0% matcher [76] 80.0% [58] 192(3.3%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [63] 100.0% ------------------------------------------------------------------------------ ulp-difference [36] 7.1% real->precision [42] 7.7% .../more-scheme.rkt:261:28 [23] 15.0% loop [12] 15.1% loop [35] 15.4% location-do [66] 19.9% for-loop [55] 19.9% [59] 2604(44.6%) 574(9.8%) ??? ...tract/private/arrow-higher-order.rkt:375:33 location-do [66] 19.9% approximate9 [2] 19.9% ival-mult [69] 15.4% hash-ref! [65] 15.1% bf [70] 7.7% ------------------------------------------------------------------------------ .../more-scheme.rkt:261:28 [23] 16.5% for-loop [52] 16.8% atab-add-altn [56] 66.7% [60] 1190(20.4%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [67] 66.2% temp85_0 [64] 33.8% ------------------------------------------------------------------------------ egraph-add-exprs [57] 100.0% [61] 678(11.6%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [68] 100.0% ------------------------------------------------------------------------------ atab-add-altn [56] 100.0% [62] 196(3.4%) 196(3.4%) for-loop .../findroot/src/core/alt-table.rkt:110:2 ------------------------------------------------------------------------------ rewriter [58] 100.0% [63] 192(3.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [65] 80.0% for-loop [71] 20.0% ------------------------------------------------------------------------------ errors [60] 25.4% eval-const-expr [24] 74.6% [64] 1584(27.1%) 0(0.0%) temp85_0 (unknown source) compile15 [72] 100.0% ------------------------------------------------------------------------------ for-loop [15] 2.8% for-loop [17] 3.2% for-loop [19] 4.0% for-loop [18] 6.2% for-loop [63] 6.2% for-loop [14] 8.8% localize-error [50] 11.8% ??? [73] 15.9% ??? [59] 41.2% [65] 1558(26.7%) 0(0.0%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop74 [83] 28.5% ??? [73] 15.9% matcher [76] 12.3% parse-loop15 [77] 11.8% ??? [3] 8.8% ??? [5] 8.6% ??? [6] 7.3% f40 [9] 4.0% f61 [21] 2.8% ------------------------------------------------------------------------------ ??? [59] 30.5% location-do [66] 69.5% [66] 1430(24.5%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [66] 69.5% ??? [59] 30.5% ------------------------------------------------------------------------------ errors [60] 100.0% [67] 788(13.5%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [23] 100.0% ------------------------------------------------------------------------------ ??? [61] 100.0% [68] 678(11.6%) 678(11.6%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 ------------------------------------------------------------------------------ ??? [59] 100.0% [69] 400(6.8%) 200(3.4%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfmul [74] 50.0% ------------------------------------------------------------------------------ ??? [59] 100.0% [70] 200(3.4%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [79] 100.0% ------------------------------------------------------------------------------ for-loop [63] 100.0% [71] 192(3.3%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:96:8 fix-up-variables [75] 100.0% ------------------------------------------------------------------------------ temp85_0 [64] 100.0% [72] 1584(27.1%) 0(0.0%) compile15 (unknown source) temp91_0 [78] 100.0% ------------------------------------------------------------------------------ hash-ref! [65] 100.0% [73] 788(13.5%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [65] 100.0% ------------------------------------------------------------------------------ ival-add [48] 49.5% ival-mult [69] 50.5% [74] 396(6.8%) 0(0.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [79] 100.0% ------------------------------------------------------------------------------ for-loop [71] 100.0% [75] 192(3.3%) 0(0.0%) fix-up-variables ...oot/src/core/matcher.rkt:108:2 pattern-substitute [81] 100.0% ------------------------------------------------------------------------------ hash-ref! [65] 100.0% [76] 192(3.3%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [8] 50.0% rewriter [58] 50.0% ------------------------------------------------------------------------------ hash-ref! [65] 100.0% [77] 184(3.1%) 0(0.0%) parse-loop15 (unknown source) map [80] 100.0% ------------------------------------------------------------------------------ compile15 [72] 100.0% [78] 1584(27.1%) 0(0.0%) temp91_0 (unknown source) temp118_0 [82] 88.1% compile-top9 [85] 11.9% ------------------------------------------------------------------------------ bf [70] 33.6% bfmul [74] 66.4% [79] 596(10.2%) 596(10.2%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 ------------------------------------------------------------------------------ parse-loop15 [77] 49.5% f40 [9] 50.5% [80] 372(6.4%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 parse-loop74 [83] 50.5% loop [86] 49.5% ------------------------------------------------------------------------------ fix-up-variables [75] 100.0% [81] 192(3.3%) 0(0.0%) pattern-substitute ...ot/src/core/matcher.rkt:45:0 constant? [84] 100.0% ------------------------------------------------------------------------------ temp91_0 [78] 100.0% [82] 1396(23.9%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [87] 100.0% ------------------------------------------------------------------------------ parse-loop74 [83] 17.2% map [80] 24.0% hash-ref! [65] 58.8% [83] 784(13.4%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [24] 82.8% parse-loop74 [83] 17.2% ------------------------------------------------------------------------------ pattern-substitute [81] 100.0% [84] 192(3.3%) 0(0.0%) constant? .../findroot/src/syntax/syntax.rkt:726:0 value? [88] 100.0% ------------------------------------------------------------------------------ temp91_0 [78] 100.0% [85] 188(3.2%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [89] 100.0% ------------------------------------------------------------------------------ map [80] 4.2% loop [86] 95.8% [86] 184(3.1%) 0(0.0%) loop ...-7.5/collects/racket/private/map.rkt:54:19 loop [86] 95.8% ??? [10] 4.2% ------------------------------------------------------------------------------ temp118_0 [82] 100.0% [87] 1396(23.9%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [90] 85.5% dispatch-transformer41 [91] 14.5% ------------------------------------------------------------------------------ constant? [84] 100.0% [88] 192(3.3%) 192(3.3%) value? ...erbie/findroot/src/syntax/types.rkt:18:0 ------------------------------------------------------------------------------ compile-top9 [85] 100.0% [89] 188(3.2%) 0(0.0%) compile-forms33 (unknown source) serialize-phase-to-link-module-uses [92]100.0% ------------------------------------------------------------------------------ expand-capturing-lifts [87] 100.0% [90] 1194(20.4%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [93] 100.0% ------------------------------------------------------------------------------ expand-capturing-lifts [87] 25.2% for-loop [106] 74.8% [91] 802(13.7%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [94] 100.0% ------------------------------------------------------------------------------ compile-forms33 [89] 100.0% [92] 188(3.2%) 188(3.2%) serialize-phase-to-link-module-uses ...own source) ------------------------------------------------------------------------------ lambda-clause-expander [90] 46.0% for-loop [106] 54.0% [93] 1194(20.4%) 0(0.0%) finish-bodys (unknown source) for-loop [106] 100.0% ------------------------------------------------------------------------------ dispatch-transformer41 [91] 100.0% [94] 802(13.7%) 0(0.0%) apply-transformer52 (unknown source) loop [95] 74.8% apply-transformer-in-context [96] 25.2% ------------------------------------------------------------------------------ loop [95] 9.6% for-loop [33] 9.6% for-loop [106] 10.1% syntax-e/no-taint [13] 30.2% apply-transformer52 [94] 40.5% [95] 990(16.9%) 0(0.0%) loop (unknown source) gf [97] 30.2% core-form-sym [99] 20.4% syntax-e [4] 20.1% expand-id-application-form17 [7] 10.1% loop [95] 9.6% ??? [100] 9.6% ------------------------------------------------------------------------------ apply-transformer52 [94] 100.0% [96] 202(3.5%) 0(0.0%) apply-transformer-in-context (unknown source) parse-app [98] 100.0% ------------------------------------------------------------------------------ loop [95] 100.0% [97] 598(10.2%) 398(6.8%) gf (unknown source) propagation-apply [103] 33.4% ------------------------------------------------------------------------------ apply-transformer-in-context [96] 100.0% [98] 202(3.5%) 202(3.5%) parse-app ...collects/racket/private/kw.rkt:1142:2 ------------------------------------------------------------------------------ loop [95] 100.0% [99] 202(3.5%) 0(0.0%) core-form-sym (unknown source) resolve+shift28 [102] 100.0% ------------------------------------------------------------------------------ loop [95] 100.0% [100] 190(3.3%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [101] 100.0% ------------------------------------------------------------------------------ ??? [100] 48.5% .../more-scheme.rkt:261:28 [23] 51.5% [101] 392(6.7%) 202(3.5%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 ??? [105] 48.5% ------------------------------------------------------------------------------ core-form-sym [99] 100.0% [102] 202(3.5%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [104] 100.0% ------------------------------------------------------------------------------ gf [97] 100.0% [103] 200(3.4%) 200(3.4%) propagation-apply (unknown source) ------------------------------------------------------------------------------ resolve+shift28 [102] 100.0% [104] 202(3.5%) 0(0.0%) fallback-loop (unknown source) for-loop [106] 100.0% ------------------------------------------------------------------------------ ??? [101] 100.0% [105] 190(3.3%) 190(3.3%) ??? ...ects/racket/contract/private/prop.rkt:301:4 ------------------------------------------------------------------------------ fallback-loop [104] 14.5% for-loop [106] 22.7% finish-bodys [93] 62.8% [106] 1396(23.9%) 596(10.2%) for-loop (unknown source) finish-bodys [93] 35.6% for-loop [106] 22.7% dispatch-transformer41 [91] 19.3% loop [95] 2.9% ------------------------------------------------------------------------------