Profiling results ----------------- Total cpu time observed: 70468ms (out of 70696ms) Number of samples taken: 338 (once every 208ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 180 hidden) =========================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =========================================================================== [1] 70468(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [11] 100.0% --------------------------------------------------------------------------- loop [103] 10.4% for-loop [94] 89.6% [2] 3828(5.4%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [12] 100.0% --------------------------------------------------------------------------- ??? [124] 100.0% [3] 2366(3.4%) 0(0.0%) approximate9 .../findroot/src/core/taylor.rkt:11:0 loop [13] 83.1% taylor [114] 16.9% --------------------------------------------------------------------------- for-loop [94] 100.0% [4] 988(1.4%) 186(0.3%) expand-implicit (unknown source) resolve+shift28 [14] 81.2% --------------------------------------------------------------------------- hash-ref! [105] 100.0% [5] 892(1.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:300:23 for-loop [16] 100.0% --------------------------------------------------------------------------- hash-ref! [105] 100.0% [6] 892(1.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:290:26 for-loop [15] 100.0% --------------------------------------------------------------------------- hash-ref! [105] 100.0% [7] 610(0.9%) 0(0.0%) matcher ...bie/findroot/src/core/matcher.rkt:119:2 ??? [17] 50.0% rewriter [66] 50.0% --------------------------------------------------------------------------- map [125] 24.2% hash-ref! [105] 75.8% [8] 414(0.6%) 0(0.0%) f40 (unknown source) map [125] 100.0% --------------------------------------------------------------------------- for-loop [94] 100.0% [9] 200(0.3%) 0(0.0%) expand-identifier (unknown source) resolve+shift28 [14] 100.0% --------------------------------------------------------------------------- hash-ref! [105] 100.0% [10] 200(0.3%) 0(0.0%) ??? .../herbie/findroot/src/core/taylor.rkt:422:23 for-loop [18] 100.0% --------------------------------------------------------------------------- ??? [1] 100.0% [11] 70468(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [19] 100.0% --------------------------------------------------------------------------- gf [104] 3.8% expand-id-application-form17 [106] 19.8% syntax-e [2] 76.3% [12] 5014(7.1%) 0(0.0%) syntax-e/no-taint (unknown source) loop [103] 100.0% --------------------------------------------------------------------------- approximate9 [3] 100.0% [13] 1966(2.8%) 0(0.0%) loop ...s/herbie/findroot/src/core/taylor.rkt:86:4 hash-ref! [105] 78.6% ??? [124] 21.4% --------------------------------------------------------------------------- expand-id-application-form17 [106] 15.7% expand-identifier [9] 16.8% expand-implicit [4] 67.5% [14] 1188(1.7%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [20] 100.0% --------------------------------------------------------------------------- ??? [6] 100.0% [15] 892(1.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:290:52 hash-ref! [105] 100.0% --------------------------------------------------------------------------- ??? [5] 100.0% [16] 892(1.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:303:27 hash-ref! [105] 100.0% --------------------------------------------------------------------------- matcher [7] 100.0% [17] 610(0.9%) 0(0.0%) ??? ...herbie/findroot/src/core/matcher.rkt:131:11 for-loop [21] 100.0% --------------------------------------------------------------------------- ??? [10] 100.0% [18] 200(0.3%) 0(0.0%) for-loop ...ie/findroot/src/core/taylor.rkt:425:30 hash-ref! [105] 100.0% --------------------------------------------------------------------------- profile-thunk16 [11] 100.0% [19] 70468(100.0%) 0(0.0%) run ...et-7.5/share/pkgs/profile-lib/main.rkt:39:2 .../more-scheme.rkt:261:28 [22] 100.0% --------------------------------------------------------------------------- resolve+shift28 [14] 100.0% [20] 1188(1.7%) 400(0.6%) fallback-loop (unknown source) for-loop [94] 66.3% --------------------------------------------------------------------------- ??? [17] 100.0% [21] 610(0.9%) 0(0.0%) for-loop ...e/findroot/src/core/matcher.rkt:133:15 hash-ref! [105] 100.0% --------------------------------------------------------------------------- for-loop [80] 6.6% run [19] 93.4% [22] 70468(100.0%) 2758(3.9%) .../more-scheme.rkt:261:28 (unknown source) prepare-points-intervals [27] 45.2% run-improve47 [23] 18.1% oracle-error [24] 17.1% get-final-combination [25] 10.2% ??? [163] 3.3% errors [77] 1.1% ??? [124] 0.7% loop [103] 0.6% eval-errors [79] 0.6% baseline-error [26] 0.6% ulp-difference [165] 0.3% ??? [158] 0.3% --------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [22] 100.0% [23] 15430(21.9%) 0(0.0%) run-improve47 ...e/findroot/src/mainloop.rkt:346:0 for-loop [28] 92.8% prepare-points-intervals [27] 5.8% simplify! [39] 1.4% --------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [22] 100.0% [24] 12076(17.1%) 0(0.0%) oracle-error ...rbie/findroot/src/points.rkt:177:0 for-loop [29] 100.0% --------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [22] 100.0% [25] 8518(12.1%) 0(0.0%) get-final-combination ...ot/src/mainloop.rkt:371:0 infer-splitpoints [30] 100.0% --------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [22] 100.0% [26] 402(0.6%) 0(0.0%) baseline-error ...ie/findroot/src/points.rkt:181:0 loop [64] 100.0% --------------------------------------------------------------------------- run-improve47 [23] 2.7% .../more-scheme.rkt:261:28 [22] 97.3% [27] 32716(46.4%) 0(0.0%) prepare-points-intervals ...t/src/points.rkt:120:0 loop [31] 100.0% --------------------------------------------------------------------------- run-improve47 [23] 100.0% [28] 14318(20.3%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:365:4 run-iter! [32] 100.0% --------------------------------------------------------------------------- oracle-error [24] 100.0% [29] 12076(17.1%) 0(0.0%) for-loop ...s/herbie/findroot/src/points.rkt:178:2 loop [103] 63.3% map [125] 36.7% --------------------------------------------------------------------------- get-final-combination [25] 100.0% [30] 8518(12.1%) 0(0.0%) infer-splitpoints ...oot/src/core/regimes.rkt:33:0 for-loop [33] 95.3% loop [103] 4.7% --------------------------------------------------------------------------- prepare-points-intervals [27] 100.0% [31] 32716(46.4%) 0(0.0%) loop ...tlies/herbie/findroot/src/points.rkt:132:4 loop [34] 96.9% ??? [40] 3.1% --------------------------------------------------------------------------- for-loop [28] 100.0% [32] 14318(20.3%) 0(0.0%) run-iter! ...erbie/findroot/src/mainloop.rkt:327:0 finalize-iter! [36] 47.5% gen-series! [37] 16.5% choose-best-alt! [38] 14.2% simplify! [39] 10.4% localize! [41] 5.8% gen-rewrites! [42] 5.7% --------------------------------------------------------------------------- infer-splitpoints [30] 100.0% [33] 8114(11.5%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:45:6 option-on-expr [35] 97.7% loop [43] 2.3% --------------------------------------------------------------------------- loop [31] 100.0% [34] 31686(45.0%) 1298(1.8%) loop ...htlies/herbie/findroot/src/points.rkt:79:2 ??? [123] 72.9% ??? [124] 18.9% real->precision [49] 2.7% ??? [45] 0.7% --------------------------------------------------------------------------- for-loop [33] 100.0% [35] 7930(11.3%) 0(0.0%) option-on-expr ...droot/src/core/regimes.rkt:124:0 for-loop [44] 93.0% err-lsts->split-indices [52] 4.6% sort-context-on-expr [53] 2.4% --------------------------------------------------------------------------- run-iter! [32] 100.0% [36] 6794(9.6%) 0(0.0%) finalize-iter! .../findroot/src/mainloop.rkt:278:0 ??? [45] 100.0% --------------------------------------------------------------------------- run-iter! [32] 100.0% [37] 2366(3.4%) 0(0.0%) gen-series! ...bie/findroot/src/mainloop.rkt:160:0 for-loop [46] 100.0% --------------------------------------------------------------------------- run-iter! [32] 100.0% [38] 2034(2.9%) 0(0.0%) choose-best-alt! ...indroot/src/mainloop.rkt:117:0 ...ow-val-first.rkt:486:18 [47] 100.0% --------------------------------------------------------------------------- run-improve47 [23] 12.7% run-iter! [32] 87.3% [39] 1700(2.4%) 0(0.0%) simplify! ...erbie/findroot/src/mainloop.rkt:224:0 ??? [48] 100.0% --------------------------------------------------------------------------- loop [31] 100.0% [40] 1030(1.5%) 0(0.0%) ??? ...htlies/herbie/findroot/src/points.rkt:113:6 sample-multi-bounded [107] 58.8% loop [103] 41.2% --------------------------------------------------------------------------- run-iter! [32] 100.0% [41] 830(1.2%) 0(0.0%) localize! ...erbie/findroot/src/mainloop.rkt:127:0 localize-error [50] 100.0% --------------------------------------------------------------------------- run-iter! [32] 100.0% [42] 810(1.1%) 0(0.0%) gen-rewrites! ...e/findroot/src/mainloop.rkt:183:0 for-loop [51] 100.0% --------------------------------------------------------------------------- for-loop [33] 100.0% [43] 184(0.3%) 0(0.0%) loop ...7.5/collects/racket/private/list.rkt:264:4 ??? [54] 100.0% --------------------------------------------------------------------------- option-on-expr [35] 100.0% [44] 7378(10.5%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:135:4 errors [77] 100.0% --------------------------------------------------------------------------- loop [34] 3.2% finalize-iter! [36] 96.8% [45] 7018(10.0%) 224(0.3%) ??? ...contract/private/arrow-val-first.rkt:486:18 for-loop [55] 96.8% --------------------------------------------------------------------------- gen-series! [37] 100.0% [46] 2366(3.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:167:7 taylor-alt [56] 100.0% --------------------------------------------------------------------------- choose-best-alt! [38] 100.0% [47] 2034(2.9%) 0(0.0%) ...ow-val-first.rkt:486:18 (unknown source) ??? [57] 100.0% --------------------------------------------------------------------------- simplify! [39] 100.0% [48] 1700(2.4%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:42:0 egraph-run [58] 84.1% ??? [61] 15.9% --------------------------------------------------------------------------- loop [34] 100.0% [49] 840(1.2%) 0(0.0%) real->precision ...findroot/src/programs.rkt:94:11 ??? [124] 100.0% --------------------------------------------------------------------------- localize! [41] 100.0% [50] 830(1.2%) 0(0.0%) localize-error ...droot/src/core/localize.rkt:58:0 hash-ref! [105] 100.0% --------------------------------------------------------------------------- gen-rewrites! [42] 100.0% [51] 810(1.1%) 0(0.0%) for-loop ...erbie/findroot/src/mainloop.rkt:191:11 rewrite-expression-head24 [59] 100.0% --------------------------------------------------------------------------- option-on-expr [35] 100.0% [52] 364(0.5%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:263:0 loop [60] 100.0% --------------------------------------------------------------------------- option-on-expr [35] 100.0% [53] 188(0.3%) 0(0.0%) sort-context-on-expr ...src/core/regimes.rkt:117:0 temp85_0 [81] 100.0% --------------------------------------------------------------------------- loop [43] 100.0% [54] 184(0.3%) 0(0.0%) ??? .../herbie/findroot/src/core/regimes.rkt:48:35 ??? [123] 100.0% --------------------------------------------------------------------------- ??? [45] 100.0% [55] 6794(9.6%) 200(0.3%) for-loop ...e/findroot/src/core/alt-table.rkt:46:2 atab-add-altn [62] 57.3% errors [77] 33.5% loop [67] 6.3% --------------------------------------------------------------------------- for-loop [46] 100.0% [56] 2366(3.4%) 0(0.0%) taylor-alt ...rbie/findroot/src/mainloop.rkt:146:0 for-loop [63] 100.0% --------------------------------------------------------------------------- ...ow-val-first.rkt:486:18 [47] 100.0% [57] 2034(2.9%) 0(0.0%) ??? ...herbie/findroot/src/core/alt-table.rkt:49:0 loop [64] 80.3% argmin [68] 19.7% --------------------------------------------------------------------------- ??? [48] 100.0% [58] 1430(2.0%) 0(0.0%) egraph-run .../pkgs/egg-herbie-linux/main.rkt:49:0 egraph-add-exprs [65] 100.0% --------------------------------------------------------------------------- for-loop [51] 100.0% [59] 810(1.1%) 200(0.3%) rewrite-expression-head24 ...core/matcher.rkt:85:0 rewriter [66] 75.3% --------------------------------------------------------------------------- err-lsts->split-indices [52] 100.0% [60] 364(0.5%) 0(0.0%) loop ...herbie/findroot/src/core/regimes.rkt:314:4 for-loop [69] 100.0% --------------------------------------------------------------------------- ??? [48] 100.0% [61] 270(0.4%) 0(0.0%) ??? .../herbie/findroot/src/core/simplify.rkt:90:0 rules->irules [70] 100.0% --------------------------------------------------------------------------- for-loop [55] 100.0% [62] 3890(5.5%) 0(0.0%) atab-add-altn ...root/src/core/alt-table.rkt:194:0 errors [77] 100.0% --------------------------------------------------------------------------- taylor-alt [56] 100.0% [63] 2366(3.4%) 0(0.0%) for-loop ...herbie/findroot/src/mainloop.rkt:152:6 ??? [124] 100.0% --------------------------------------------------------------------------- baseline-error [26] 19.7% ??? [57] 80.3% [64] 2036(2.9%) 0(0.0%) loop .../racket-7.5/collects/racket/list.rkt:751:4 ??? [71] 80.3% ??? [74] 19.7% --------------------------------------------------------------------------- egraph-run [58] 100.0% [65] 1430(2.0%) 0(0.0%) egraph-add-exprs ...gg-herbie-linux/main.rkt:111:0 ??? [72] 100.0% --------------------------------------------------------------------------- rewrite-expression-head24 [59] 35.7% matcher [7] 64.3% [66] 610(0.9%) 0(0.0%) rewriter ...bie/findroot/src/core/matcher.rkt:87:2 for-loop [73] 100.0% --------------------------------------------------------------------------- for-loop [55] 100.0% [67] 428(0.6%) 0(0.0%) loop ...rbie/findroot/src/core/alt-table.rkt:168:2 map [125] 52.3% loop [76] 47.7% --------------------------------------------------------------------------- ??? [57] 100.0% [68] 400(0.6%) 0(0.0%) argmin ...acket-7.5/collects/racket/list.rkt:765:0 ??? [71] 100.0% --------------------------------------------------------------------------- loop [60] 100.0% [69] 364(0.5%) 0(0.0%) for-loop ...ie/findroot/src/core/regimes.rkt:279:4 for-loop [75] 100.0% --------------------------------------------------------------------------- ??? [61] 100.0% [70] 270(0.4%) 270(0.4%) rules->irules ...ndroot/src/core/simplify.rkt:31:0 --------------------------------------------------------------------------- argmin [68] 19.7% loop [64] 80.3% [71] 2034(2.9%) 0(0.0%) ??? ...ies/herbie/findroot/src/mainloop.rkt:114:10 errors [77] 100.0% --------------------------------------------------------------------------- egraph-add-exprs [65] 100.0% [72] 1430(2.0%) 0(0.0%) ??? ...herbie/findroot/src/core/simplify.rkt:102:6 for-loop [78] 100.0% --------------------------------------------------------------------------- rewriter [66] 100.0% [73] 610(0.9%) 0(0.0%) for-loop ...bie/findroot/src/core/matcher.rkt:89:4 hash-ref! [105] 100.0% --------------------------------------------------------------------------- loop [64] 100.0% [74] 402(0.6%) 0(0.0%) ??? ...tlies/herbie/findroot/src/points.rkt:182:27 eval-errors [79] 100.0% --------------------------------------------------------------------------- for-loop [69] 100.0% [75] 364(0.5%) 364(0.5%) for-loop ...ie/findroot/src/core/regimes.rkt:283:8 --------------------------------------------------------------------------- loop [67] 100.0% [76] 204(0.3%) 204(0.3%) loop ...-7.5/collects/racket/private/hash.rkt:20:4 --------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [22] 8.3% ??? [71] 12.0% for-loop [55] 13.4% atab-add-altn [62] 22.9% for-loop [44] 43.4% [77] 16994(24.1%) 0(0.0%) errors ...ies/herbie/findroot/src/points.rkt:190:0 for-loop [80] 55.8% temp85_0 [81] 40.7% loop [103] 2.3% --------------------------------------------------------------------------- ??? [72] 100.0% [78] 1430(2.0%) 1430(2.0%) for-loop ...e/findroot/src/core/simplify.rkt:121:2 --------------------------------------------------------------------------- ??? [74] 50.0% .../more-scheme.rkt:261:28 [22] 50.0% [79] 804(1.1%) 0(0.0%) eval-errors ...erbie/findroot/src/points.rkt:168:0 for-loop [82] 100.0% --------------------------------------------------------------------------- errors [77] 100.0% [80] 9486(13.5%) 200(0.3%) for-loop ...s/herbie/findroot/src/points.rkt:192:2 .../more-scheme.rkt:261:28 [22] 97.9% --------------------------------------------------------------------------- sort-context-on-expr [53] 2.0% loop [103] 4.4% eval-const-expr [153] 18.9% errors [77] 74.8% [81] 9260(13.1%) 0(0.0%) temp85_0 (unknown source) compile15 [83] 100.0% --------------------------------------------------------------------------- eval-errors [79] 100.0% [82] 804(1.1%) 602(0.9%) for-loop ...s/herbie/findroot/src/points.rkt:170:2 ??? [163] 25.1% --------------------------------------------------------------------------- temp85_0 [81] 100.0% [83] 9260(13.1%) 0(0.0%) compile15 (unknown source) temp91_0 [84] 97.9% loop [103] 2.1% --------------------------------------------------------------------------- compile15 [83] 100.0% [84] 9066(12.9%) 188(0.3%) temp91_0 (unknown source) temp118_0 [85] 91.3% compile-top9 [86] 6.6% --------------------------------------------------------------------------- temp91_0 [84] 100.0% [85] 8278(11.7%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [87] 100.0% --------------------------------------------------------------------------- temp91_0 [84] 100.0% [86] 600(0.9%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [88] 100.0% --------------------------------------------------------------------------- loop [103] 6.6% temp118_0 [85] 93.4% [87] 8864(12.6%) 190(0.3%) expand-capturing-lifts (unknown source) lambda-clause-expander [89] 91.2% dispatch-transformer41 [90] 4.4% loop [103] 2.2% --------------------------------------------------------------------------- compile-top9 [86] 100.0% [88] 600(0.9%) 200(0.3%) compile-forms33 (unknown source) loop! [91] 36.0% for-loop [94] 30.7% --------------------------------------------------------------------------- expand-capturing-lifts [87] 100.0% [89] 8088(11.5%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [92] 97.7% loop [103] 2.3% --------------------------------------------------------------------------- loop [103] 14.8% expand-capturing-lifts [87] 31.6% for-loop [94] 53.6% [90] 1242(1.8%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [93] 100.0% --------------------------------------------------------------------------- compile-forms33 [88] 100.0% [91] 216(0.3%) 0(0.0%) loop! (unknown source) for-loop [94] 100.0% --------------------------------------------------------------------------- lambda-clause-expander [89] 14.6% for-loop [94] 85.4% [92] 7904(11.2%) 0(0.0%) finish-bodys (unknown source) for-loop [94] 100.0% --------------------------------------------------------------------------- dispatch-transformer41 [90] 100.0% [93] 1242(1.8%) 184(0.3%) apply-transformer52 (unknown source) apply-transformer-in-context [95] 37.5% loop [103] 32.2% apply-post-expansion [96] 15.5% --------------------------------------------------------------------------- fallback-loop [20] 1.2% compile-forms33 [88] 2.2% loop! [91] 2.6% for-loop [94] 12.7% finish-bodys [92] 81.3% [94] 8304(11.8%) 1808(2.6%) for-loop (unknown source) finish-bodys [92] 72.5% for-loop [94] 12.7% compile5 [98] 2.6% loop [103] 2.2% syntax-e [2] 2.2% expand-implicit [4] 1.9% dispatch-transformer41 [90] 0.6% expand-identifier [9] 0.6% dispatch-variable [99] 0.1% --------------------------------------------------------------------------- apply-transformer52 [93] 100.0% [95] 466(0.7%) 184(0.3%) apply-transformer-in-context (unknown source) parse-app [97] 60.5% --------------------------------------------------------------------------- apply-transformer52 [93] 100.0% [96] 192(0.3%) 0(0.0%) apply-post-expansion (unknown source) gf [104] 100.0% --------------------------------------------------------------------------- apply-transformer-in-context [95] 100.0% [97] 282(0.4%) 0(0.0%) parse-app ...collects/racket/private/kw.rkt:1142:2 datum->syntax6 [100] 100.0% --------------------------------------------------------------------------- compile-let13 [101] 50.0% for-loop [94] 50.0% [98] 216(0.3%) 0(0.0%) compile5 (unknown source) compile-let13 [101] 100.0% --------------------------------------------------------------------------- for-loop [94] 100.0% [99] 184(0.3%) 0(0.0%) dispatch-variable (unknown source) substitute-variable6 [102] 100.0% --------------------------------------------------------------------------- parse-app [97] 100.0% [100] 282(0.4%) 0(0.0%) datum->syntax6 (unknown source) loop [103] 100.0% --------------------------------------------------------------------------- compile5 [98] 6.1% compile-let13 [101] 93.9% [101] 216(0.3%) 216(0.3%) compile-let13 (unknown source) compile-let13 [101] 93.9% compile5 [98] 3.0% --------------------------------------------------------------------------- dispatch-variable [99] 100.0% [102] 184(0.3%) 184(0.3%) substitute-variable6 (unknown source) --------------------------------------------------------------------------- .../more-scheme.rkt:261:28 [22] 0.5% gf [104] 0.6% errors [77] 0.6% expand-capturing-lifts [87] 0.7% compile15 [83] 0.7% apply-transformer52 [93] 1.1% lambda-clause-expander [89] 1.2% ??? [122] 1.3% ??? [40] 1.4% infer-splitpoints [30] 1.5% datum->syntax6 [100] 1.9% for-loop [94] 6.0% for-loop [29] 16.8% syntax-e/no-taint [12] 25.7% loop [103] 39.9% [103] 14728(20.9%) 1068(1.5%) loop (unknown source) loop [103] 39.9% gf [104] 26.1% ??? [152] 13.0% expand-id-application-form17 [106] 4.6% ??? [163] 2.1% all-critical-subexpressions [108] 1.5% sample-multi-bounded [107] 1.4% hash-ref! [105] 1.3% expand-capturing-lifts [87] 1.3% dispatch-transformer41 [90] 1.2% syntax-e [2] 1.1% ulp-difference [165] 0.7% temp85_0 [81] 0.5% ??? [158] 0.2% --------------------------------------------------------------------------- apply-post-expansion [96] 0.8% loop [103] 99.2% [104] 5014(7.1%) 200(0.3%) gf (unknown source) propagation-apply [109] 36.1% propagation-merge [111] 28.8% propagation-apply-shifted [113] 19.3% cache-or-reuse-set [120] 4.0% cache-or-reuse-hash [121] 4.0% loop [103] 3.1% syntax-e/no-taint [12] 0.8% --------------------------------------------------------------------------- for-loop [18] 0.9% localize-error [50] 2.5% for-loop [16] 4.5% for-loop [15] 4.5% loop [103] 4.5% loop [132] 5.1% for-loop [21] 6.3% ??? [112] 9.3% for-loop [73] 9.8% loop [13] 12.2% map [125] 19.4% ??? [124] 20.4% [105] 3794(5.4%) 804(1.1%) hash-ref! .../racket/private/more-scheme.rkt:376:2 parse-loop15 [115] 21.9% matcher [7] 12.5% ??? [110] 12.2% parse-loop74 [139] 10.6% ??? [112] 9.3% f61 [118] 6.4% taylor [114] 5.8% ??? [122] 4.5% ??? [6] 4.5% ??? [5] 4.5% f40 [8] 2.8% ??? [10] 0.9% --------------------------------------------------------------------------- loop [103] 100.0% [106] 1180(1.7%) 0(0.0%) expand-id-application-form17 (unknown source) syntax-e/no-taint [12] 84.2% resolve+shift28 [14] 15.8% --------------------------------------------------------------------------- loop [103] 41.2% ??? [40] 58.8% [107] 1030(1.5%) 200(0.3%) sample-multi-bounded ...ndroot/src/points.rkt:14:0 random-ranges [116] 58.8% for-loop [119] 21.7% --------------------------------------------------------------------------- loop [103] 100.0% [108] 404(0.6%) 0(0.0%) all-critical-subexpressions ...re/regimes.rkt:74:0 for-loop [117] 100.0% --------------------------------------------------------------------------- gf [104] 100.0% [109] 1810(2.6%) 1810(2.6%) propagation-apply (unknown source) --------------------------------------------------------------------------- hash-ref! [105] 100.0% [110] 1546(2.2%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:67:15 ??? [124] 100.0% --------------------------------------------------------------------------- gf [104] 100.0% [111] 1444(2.0%) 1444(2.0%) propagation-merge (unknown source) --------------------------------------------------------------------------- hash-ref! [105] 100.0% [112] 1324(1.9%) 0(0.0%) ??? ...s/herbie/findroot/src/core/taylor.rkt:44:15 hash-ref! [105] 100.0% --------------------------------------------------------------------------- gf [104] 100.0% [113] 966(1.4%) 966(1.4%) propagation-apply-shifted (unknown source) --------------------------------------------------------------------------- hash-ref! [105] 21.4% approximate9 [3] 31.3% taylor [114] 47.3% [114] 840(1.2%) 0(0.0%) taylor ...erbie/findroot/src/core/taylor.rkt:169:0 taylor [114] 47.3% loop [132] 23.1% debug5 [130] 11.9% taylor-invert [127] 9.5% debug-print [128] 8.2% --------------------------------------------------------------------------- hash-ref! [105] 100.0% [115] 830(1.2%) 0(0.0%) parse-loop15 (unknown source) map [125] 97.3% for-loop [129] 2.7% --------------------------------------------------------------------------- sample-multi-bounded [107] 100.0% [116] 606(0.9%) 0(0.0%) random-ranges ...bie/findroot/src/common.rkt:164:0 cons/c [126] 100.0% --------------------------------------------------------------------------- all-critical-subexpressions [108] 100.0% [117] 404(0.6%) 0(0.0%) for-loop ...bie/findroot/src/core/regimes.rkt:81:2 ??? [123] 51.0% free-variables [131] 49.0% --------------------------------------------------------------------------- hash-ref! [105] 100.0% [118] 402(0.6%) 0(0.0%) f61 (unknown source) eval-const-expr [153] 50.2% map [125] 49.8% --------------------------------------------------------------------------- sample-multi-bounded [107] 100.0% [119] 224(0.3%) 0(0.0%) for-loop ...es/herbie/findroot/src/points.rkt:20:4 ??? [124] 100.0% --------------------------------------------------------------------------- gf [104] 100.0% [120] 202(0.3%) 202(0.3%) cache-or-reuse-set (unknown source) --------------------------------------------------------------------------- gf [104] 100.0% [121] 200(0.3%) 200(0.3%) cache-or-reuse-hash (unknown source) --------------------------------------------------------------------------- hash-ref! [105] 100.0% [122] 194(0.3%) 0(0.0%) ??? ...lies/herbie/findroot/src/programs.rkt:178:5 loop [103] 100.0% --------------------------------------------------------------------------- ??? [54] 0.8% for-loop [117] 0.9% loop [34] 98.3% [123] 23496(33.3%) 8194(11.6%) ??? ...tract/private/arrow-higher-order.rkt:379:33 ival-sin [133] 24.4% ival-cos [135] 18.5% ival-atan2 [136] 12.7% ival-sub [142] 4.5% ival-add [143] 2.6% f238 [146] 1.7% --------------------------------------------------------------------------- loop [13] 1.3% for-loop [119] 2.1% ??? [110] 4.9% real->precision [49] 8.0% location-do [137] 8.2% for-loop [63] 8.2% .../more-scheme.rkt:261:28 [22] 9.8% loop [34] 57.4% [124] 10452(14.8%) 1650(2.3%) ??? ...tract/private/arrow-higher-order.rkt:375:33 ival-mult [138] 20.2% ival-pow [140] 14.5% ival-div [141] 12.3% location-do [137] 8.2% approximate9 [3] 8.2% hash-ref! [105] 6.3% ival-pow-pos [154] 6.0% bf [144] 4.2% ival-pow-neg [156] 2.2% ival-union [147] 2.1% --------------------------------------------------------------------------- f61 [118] 3.3% loop [67] 3.7% f40 [8] 6.8% parse-loop15 [115] 13.6% for-loop [29] 72.6% [125] 6098(8.7%) 0(0.0%) map ...t-7.5/collects/racket/private/map.rkt:35:13 loop [134] 67.7% hash-ref! [105] 12.4% ??? [152] 9.8% parse-loop74 [139] 4.9% simplify* [148] 3.5% f40 [8] 1.6% --------------------------------------------------------------------------- random-ranges [116] 100.0% [126] 606(0.9%) 184(0.3%) cons/c .../racket/contract/private/guts.rkt:500:15 coerce-contract [145] 69.6% --------------------------------------------------------------------------- taylor [114] 100.0% [127] 240(0.3%) 0(0.0%) taylor-invert ...indroot/src/core/taylor.rkt:317:0 parse-loop74 [139] 100.0% --------------------------------------------------------------------------- taylor [114] 100.0% [128] 206(0.3%) 0(0.0%) debug-print ...herbie/findroot/src/debug.rkt:110:0 ??? [149] 100.0% --------------------------------------------------------------------------- parse-loop15 [115] 100.0% [129] 202(0.3%) 0(0.0%) for-loop ...e/findroot/src/core/localize.rkt:45:21 for-loop [150] 100.0% --------------------------------------------------------------------------- taylor [114] 100.0% [130] 200(0.3%) 200(0.3%) debug5 ...lies/herbie/findroot/src/debug.rkt:102:0 --------------------------------------------------------------------------- for-loop [117] 14.3% append-map [151] 85.7% [131] 198(0.3%) 0(0.0%) free-variables ...e/findroot/src/programs.rkt:56:0 append-map [151] 100.0% --------------------------------------------------------------------------- taylor [114] 100.0% [132] 194(0.3%) 0(0.0%) loop .../herbie/findroot/src/core/taylor.rkt:267:2 hash-ref! [105] 100.0% --------------------------------------------------------------------------- ??? [123] 100.0% [133] 5734(8.1%) 2990(4.2%) ival-sin ...bie/findroot/src/biginterval.rkt:304:0 bfdiv [164] 23.0% bfeven? [157] 10.7% pi.bf [155] 10.5% bfodd? [166] 3.6% --------------------------------------------------------------------------- map [125] 40.2% loop [134] 59.8% [134] 4682(6.6%) 224(0.3%) loop ...-7.5/collects/racket/private/map.rkt:40:19 loop [134] 59.8% ??? [152] 39.5% ??? [159] 0.5% --------------------------------------------------------------------------- ??? [123] 100.0% [135] 4338(6.2%) 1946(2.8%) ival-cos ...bie/findroot/src/biginterval.rkt:287:0 pi.bf [155] 14.9% bfcos [160] 11.1% bfeven? [157] 10.2% bfdiv [164] 9.2% bfodd? [166] 5.2% bffloor [167] 4.6% --------------------------------------------------------------------------- ??? [123] 100.0% [136] 2984(4.2%) 2560(3.6%) ival-atan2 ...e/findroot/src/biginterval.rkt:336:0 bfdiv [164] 14.2% --------------------------------------------------------------------------- ??? [124] 13.0% location-do [137] 87.0% [137] 2366(3.4%) 0(0.0%) location-do ...rbie/findroot/src/programs.rkt:63:0 location-do [137] 87.0% ??? [124] 13.0% --------------------------------------------------------------------------- ??? [124] 100.0% [138] 2108(3.0%) 604(0.9%) ival-mult ...ie/findroot/src/biginterval.rkt:129:0 bfdiv [164] 71.3% --------------------------------------------------------------------------- parse-loop74 [139] 8.6% taylor-invert [127] 15.5% map [125] 17.3% hash-ref! [105] 58.5% [139] 1544(2.2%) 0(0.0%) parse-loop74 (unknown source) eval-const-expr [153] 91.4% parse-loop74 [139] 8.6% --------------------------------------------------------------------------- ??? [124] 100.0% [140] 1520(2.2%) 0(0.0%) ival-pow ...bie/findroot/src/biginterval.rkt:266:0 ival-pow-neg [156] 56.1% ival-pow-pos [154] 43.9% --------------------------------------------------------------------------- ??? [124] 100.0% [141] 1288(1.8%) 658(0.9%) ival-div ...bie/findroot/src/biginterval.rkt:149:0 bfdiv [164] 48.9% --------------------------------------------------------------------------- ??? [123] 100.0% [142] 1048(1.5%) 456(0.6%) ival-sub ...bie/findroot/src/biginterval.rkt:117:0 bfdiv [164] 56.5% --------------------------------------------------------------------------- ??? [123] 100.0% [143] 602(0.9%) 382(0.5%) ival-add ...bie/findroot/src/biginterval.rkt:111:0 bfdiv [164] 36.5% --------------------------------------------------------------------------- ??? [124] 100.0% [144] 440(0.6%) 0(0.0%) bf ...ath-lib/math/private/bigfloat/mpfr.rkt:615:2 new-mpfr [171] 50.9% ??? [172] 49.1% --------------------------------------------------------------------------- cons/c [126] 100.0% [145] 422(0.6%) 0(0.0%) coerce-contract ...contract/private/guts.rkt:307:0 coerce-contract/f [161] 100.0% --------------------------------------------------------------------------- ??? [123] 13.5% f238 [146] 86.5% [146] 390(0.6%) 0(0.0%) f238 (unknown source) f238 [146] 86.5% ??? [158] 8.8% do-curry [162] 4.7% --------------------------------------------------------------------------- ??? [124] 100.0% [147] 222(0.3%) 0(0.0%) ival-union ...e/findroot/src/biginterval.rkt:560:0 bfdiv [164] 100.0% --------------------------------------------------------------------------- map [125] 100.0% [148] 214(0.3%) 214(0.3%) simplify* ...bie/findroot/src/core/reduce.rkt:29:0 --------------------------------------------------------------------------- debug-print [128] 100.0% [149] 206(0.3%) 206(0.3%) ??? .../contract/private/arrow-val-first.rkt:555:3 --------------------------------------------------------------------------- for-loop [129] 100.0% [150] 202(0.3%) 202(0.3%) for-loop ...e/findroot/src/core/localize.rkt:46:23 --------------------------------------------------------------------------- free-variables [131] 100.0% [151] 198(0.3%) 198(0.3%) append-map ...t-7.5/collects/racket/list.rkt:586:2 free-variables [131] 85.7% --------------------------------------------------------------------------- map [125] 5.7% loop [134] 36.6% loop [103] 57.6% [152] 10454(14.8%) 2824(4.0%) ??? ...tlies/herbie/findroot/src/points.rkt:179:26 ??? [163] 71.1% ulp-difference [165] 1.9% --------------------------------------------------------------------------- f61 [118] 11.6% parse-loop74 [139] 88.4% [153] 1746(2.5%) 0(0.0%) eval-const-expr ...findroot/src/programs.rkt:120:0 temp85_0 [81] 100.0% --------------------------------------------------------------------------- ??? [124] 48.3% ival-pow [140] 51.7% [154] 1292(1.8%) 862(1.2%) ival-pow-pos ...findroot/src/biginterval.rkt:224:0 bfdiv [164] 33.3% --------------------------------------------------------------------------- ival-sin [133] 48.2% ival-cos [135] 51.8% [155] 1248(1.8%) 418(0.6%) pi.bf ...lib/math/private/bigfloat/mpfr.rkt:1012:4 new-mpfr [171] 48.7% ??? [172] 17.8% --------------------------------------------------------------------------- ??? [124] 21.5% ival-pow [140] 78.5% [156] 1086(1.5%) 664(0.9%) ival-pow-neg ...findroot/src/biginterval.rkt:245:0 bffloor [167] 20.4% bfodd? [166] 18.4% --------------------------------------------------------------------------- ival-cos [135] 41.8% ival-sin [133] 58.2% [157] 1058(1.5%) 0(0.0%) bfeven? ...ib/math/private/bigfloat/mpfr.rkt:814:0 ??? [172] 40.1% size+limbs->integer [169] 39.5% mpz->integer [170] 20.4% --------------------------------------------------------------------------- f238 [146] 25.4% loop [103] 25.4% .../more-scheme.rkt:261:28 [22] 49.3% [158] 812(1.2%) 812(1.2%) ??? ...cket-7.5/collects/racket/function.rkt:93:12 --------------------------------------------------------------------------- loop [134] 100.0% [159] 628(0.9%) 412(0.6%) ??? ...-racket/utils/simple-result-arrow.rkt:39:12 bfdiv [164] 34.4% --------------------------------------------------------------------------- ival-cos [135] 100.0% [160] 480(0.7%) 0(0.0%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:632:4 new-mpfr [171] 100.0% --------------------------------------------------------------------------- coerce-contract [145] 100.0% [161] 422(0.6%) 0(0.0%) coerce-contract/f ...ntract/private/guts.rkt:372:0 coerce-simple-value [168] 100.0% --------------------------------------------------------------------------- f238 [146] 100.0% [162] 184(0.3%) 184(0.3%) do-curry ...-7.5/collects/racket/function.rkt:71:2 --------------------------------------------------------------------------- for-loop [82] 1.5% loop [103] 6.2% .../more-scheme.rkt:261:28 [22] 35.7% ??? [152] 56.5% [163] 13142(18.6%) 10276(14.6%) ??? ...erbie/findroot/src/syntax/syntax.rkt:214:17 return/no-unsupplied [173] 20.3% --------------------------------------------------------------------------- ??? [159] 3.6% ival-add [143] 3.7% ival-union [147] 3.7% ival-cos [135] 6.7% ival-atan2 [136] 7.1% ival-pow-pos [154] 7.2% ival-sub [142] 9.9% ival-div [141] 10.6% ival-sin [133] 22.2% ival-mult [138] 25.2% [164] 5958(8.5%) 406(0.6%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:835:4 new-mpfr [171] 50.9% ??? [172] 42.3% --------------------------------------------------------------------------- loop [103] 24.8% ??? [152] 24.8% .../more-scheme.rkt:261:28 [22] 50.5% [165] 808(1.1%) 808(1.1%) ulp-difference ...rbie/findroot/src/float.rkt:19:0 --------------------------------------------------------------------------- ival-pow-neg [156] 31.7% ival-sin [133] 32.7% ival-cos [135] 35.6% [166] 630(0.9%) 430(0.6%) bfodd? ...lib/math/private/bigfloat/mpfr.rkt:817:0 ??? [172] 31.7% --------------------------------------------------------------------------- ival-cos [135] 47.4% ival-pow-neg [156] 52.6% [167] 422(0.6%) 422(0.6%) bffloor ...ib/math/private/bigfloat/mpfr.rkt:730:4 --------------------------------------------------------------------------- coerce-contract/f [161] 100.0% [168] 422(0.6%) 422(0.6%) coerce-simple-value ...ract/private/guts.rkt:385:0 --------------------------------------------------------------------------- bfeven? [157] 100.0% [169] 418(0.6%) 418(0.6%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 --------------------------------------------------------------------------- bfeven? [157] 100.0% [170] 216(0.3%) 216(0.3%) mpz->integer ...ath/private/bigfloat/gmp.rkt:115:0 --------------------------------------------------------------------------- bf [144] 5.2% bfcos [160] 11.0% pi.bf [155] 14.0% bfdiv [164] 69.8% [171] 4346(6.2%) 4346(6.2%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:348:0 --------------------------------------------------------------------------- bfodd? [166] 5.6% bf [144] 6.0% pi.bf [155] 6.2% bfeven? [157] 11.8% bfdiv [164] 70.3% [172] 3580(5.1%) 3580(5.1%) ??? /opt/racket-7.5/collects/ffi/unsafe.rkt:938:4 --------------------------------------------------------------------------- ??? [163] 100.0% [173] 2666(3.8%) 2236(3.2%) return/no-unsupplied ...ct/private/arr-i.rkt:566:0 filter [174] 16.1% --------------------------------------------------------------------------- return/no-unsupplied [173] 100.0% [174] 430(0.6%) 430(0.6%) filter ...5/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------------