Profiling results ----------------- Total cpu time observed: 13908ms (out of 14196ms) Number of samples taken: 58 (once every 240ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [27] 100.0% [1] 13758(98.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [2] 4054(29.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 71.2% finalize-table! [9] 25.4% setup-prog [12] 3.5% ---------------------------------------------------------------------- location-do [38] 100.0% [3] 342(2.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-sqrt [10] 50.9% loop [11] 49.1% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [4] 262(1.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [48] 100.0% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [5] 168(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [54] 100.0% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [6] 168(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [54] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 13758(98.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 2886(20.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1028(7.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [14] 100.0% ---------------------------------------------------------------------- approximate9 [3] 100.0% [10] 174(1.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [15] 100.0% ---------------------------------------------------------------------- approximate9 [3] 100.0% [11] 168(1.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [54] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 140(1.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [16] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [13] 2886(20.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 72.0% finalize-iter! [18] 16.8% gen-series! [21] 6.0% localize-error [20] 5.2% ---------------------------------------------------------------------- finalize-table! [9] 100.0% [14] 1028(7.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [48] 50.0% ??? [24] 18.5% for-loop [22] 16.3% localize-error [20] 15.2% ---------------------------------------------------------------------- hash-ref! [54] 49.1% taylor-sqrt [10] 50.9% [15] 342(2.5%) 174(1.3%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [19] 49.1% ---------------------------------------------------------------------- setup-prog [12] 100.0% [16] 140(1.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [32] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [17] 2078(14.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [18] 484(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ---------------------------------------------------------------------- map [44] 17.7% simplify [15] 17.7% hash-ref! [54] 64.6% [19] 474(3.4%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [44] 100.0% ---------------------------------------------------------------------- run-iter! [13] 49.0% post-process [14] 51.0% [20] 306(2.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [54] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [21] 174(1.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ---------------------------------------------------------------------- post-process [14] 100.0% [22] 168(1.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [26] 100.0% ---------------------------------------------------------------------- simplify! [17] 100.0% [23] 2078(14.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 92.7% debug-print [30] 7.3% ---------------------------------------------------------------------- post-process [14] 28.2% finalize-iter! [18] 71.8% [24] 674(4.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [28] 100.0% ---------------------------------------------------------------------- gen-series! [21] 100.0% [25] 174(1.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [29] 100.0% ---------------------------------------------------------------------- for-loop [22] 100.0% [26] 168(1.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [29] 100.0% ---------------------------------------------------------------------- for-loop [23] 4.6% run [7] 47.2% [27] 13908(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.2% loop [31] 35.4% run-improve58 [2] 12.8% simplify [32] 4.6% ---------------------------------------------------------------------- ??? [24] 100.0% [28] 674(4.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [33] 100.0% ---------------------------------------------------------------------- append-map [26] 49.1% for-loop [25] 50.9% [29] 342(2.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% ---------------------------------------------------------------------- for-loop [23] 100.0% [30] 152(1.1%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [35] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [31] 9854(70.9%) 218(1.6%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [36] 38.7% make-exacts* [40] 36.4% loop [41] 20.7% for-loop [39] 2.0% ---------------------------------------------------------------------- simplify-alt [16] 6.8% ??? [27] 93.2% [32] 2066(14.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [60] 50.6% iterate-egraph!5 [64] 49.4% ---------------------------------------------------------------------- for-loop [28] 100.0% [33] 674(4.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [37] 100.0% ---------------------------------------------------------------------- taylor-alt [29] 100.0% [34] 342(2.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% ---------------------------------------------------------------------- debug-print [30] 100.0% [35] 152(1.1%) 152(1.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- loop [31] 100.0% [36] 3814(27.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [41] 59.4% make-exacts* [40] 33.8% eval-prog [46] 6.9% ---------------------------------------------------------------------- atab-add-altn [33] 100.0% [37] 674(4.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [42] 100.0% ---------------------------------------------------------------------- for-loop [34] 29.2% location-do [38] 70.8% [38] 342(2.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [38] 70.8% approximate9 [3] 29.2% ---------------------------------------------------------------------- loop [31] 100.0% [39] 200(1.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [43] 100.0% ---------------------------------------------------------------------- loop [36] 26.4% loop [31] 73.6% [40] 4870(35.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [44] 52.7% loop [48] 47.3% ---------------------------------------------------------------------- loop [31] 47.4% loop [36] 52.6% [41] 4304(30.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [44] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [37] 100.0% [42] 674(4.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [45] 73.3% eval-prog [46] 26.7% ---------------------------------------------------------------------- for-loop [39] 100.0% [43] 200(1.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [47] 100.0% ---------------------------------------------------------------------- f6 [19] 6.5% make-exacts* [40] 35.0% loop [41] 58.6% [44] 7346(52.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [48] 84.0% ??? [53] 10.6% loop [51] 2.1% f6 [19] 1.1% parse-loop12 [61] 1.1% ??? [52] 1.0% ---------------------------------------------------------------------- errors [42] 100.0% [45] 494(3.6%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [53] 61.5% ??? [50] 38.5% ---------------------------------------------------------------------- errors [42] 40.7% loop [36] 59.3% [46] 442(3.2%) 180(1.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [54] 59.3% ---------------------------------------------------------------------- for-loop [43] 100.0% [47] 200(1.4%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [49] 100.0% ---------------------------------------------------------------------- parse-loop12 [61] 0.3% post-process [14] 1.1% map [44] 1.6% ??? [4] 2.8% make-exacts* [40] 3.6% loop [48] 90.6% [48] 9320(67.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [48] 90.6% ??? [53] 5.1% hash-ref! [54] 2.8% completely-simplify-alt [55] 1.1% ??? [52] 0.3% ??? [69] 0.2% ->flonum [56] 0.0% ---------------------------------------------------------------------- sample-double [47] 100.0% [49] 200(1.4%) 200(1.4%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ---------------------------------------------------------------------- for-loop [45] 100.0% [50] 190(1.4%) 190(1.4%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- map [44] 2.2% loop [51] 97.8% [51] 156(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [51] 97.8% ??? [57] 2.2% ---------------------------------------------------------------------- map [44] 33.3% loop [48] 66.7% [52] 150(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [54] 100.0% ---------------------------------------------------------------------- for-loop [45] 3.3% map [44] 8.4% loop [48] 88.3% [53] 9266(66.6%) 602(4.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [58] 41.7% real->bigfloat [59] 37.8% ??? [73] 14.1% ---------------------------------------------------------------------- ??? [5] 7.6% ??? [6] 7.6% loop [11] 7.6% ??? [52] 15.3% loop [48] 17.8% eval-prog [46] 17.8% localize-error [20] 26.3% [54] 736(5.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f6 [19] 31.4% ??? [4] 17.8% bigfloat-hash [62] 17.8% parse-loop12 [61] 10.2% ??? [6] 7.6% ??? [5] 7.6% simplify [15] 7.6% ---------------------------------------------------------------------- loop [48] 100.0% [55] 514(3.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [60] 100.0% ---------------------------------------------------------------------- loop [48] 100.0% [56] 212(1.5%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [79] 100.0% ---------------------------------------------------------------------- loop [51] 100.0% [57] 156(1.1%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ulp-difference [63] 100.0% ---------------------------------------------------------------------- ??? [53] 100.0% [58] 3862(27.8%) 304(2.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [69] 70.9% ...higher-order.rkt:373:33 [65] 14.4% bf* [67] 6.7% ---------------------------------------------------------------------- ??? [53] 100.0% [59] 3498(25.2%) 2284(16.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [80] 34.7% ---------------------------------------------------------------------- completely-simplify-alt [55] 32.9% simplify [32] 67.1% [60] 1560(11.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [64] 100.0% ---------------------------------------------------------------------- hash-ref! [54] 47.2% map [44] 52.8% [61] 318(2.3%) 168(1.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [48] 47.2% ---------------------------------------------------------------------- hash-ref! [54] 100.0% [62] 262(1.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [66] 100.0% ---------------------------------------------------------------------- ??? [57] 100.0% [63] 156(1.1%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [68] 100.0% ---------------------------------------------------------------------- simplify [32] 39.5% simplify-expr [60] 60.5% [64] 2580(18.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [70] 87.6% map-enodes [72] 12.4% ---------------------------------------------------------------------- ??? [58] 100.0% [65] 558(4.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [71] 100.0% ---------------------------------------------------------------------- bigfloat-hash [62] 100.0% [66] 262(1.9%) 262(1.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [58] 100.0% [67] 260(1.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [69] 100.0% ---------------------------------------------------------------------- ulp-difference [63] 100.0% [68] 156(1.1%) 156(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- loop [48] 4.8% bf* [67] 8.3% ??? [58] 87.0% [69] 3150(22.6%) 622(4.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfhypot [74] 44.8% bfasin [76] 23.0% ??? [79] 12.4% ---------------------------------------------------------------------- iterate-egraph!5 [64] 100.0% [70] 2260(16.2%) 164(1.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [75] 59.9% loop [77] 25.5% apply-match [82] 7.3% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [65]100.0% [71] 558(4.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [73] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [64] 100.0% [72] 320(2.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [78] 100.0% ---------------------------------------------------------------------- ??? [71] 30.0% ??? [53] 70.0% [73] 1862(13.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [79] 100.0% ---------------------------------------------------------------------- ??? [69] 100.0% [74] 1410(10.1%) 1168(8.4%) bfhypot ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [80] 17.2% ---------------------------------------------------------------------- for-loop [75] 50.0% one-iter [70] 50.0% [75] 1354(9.7%) 486(3.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [75] 50.0% match-e [81] 32.1% ---------------------------------------------------------------------- ??? [69] 100.0% [76] 726(5.2%) 214(1.5%) bfasin ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [80] 70.5% ---------------------------------------------------------------------- one-iter [70] 100.0% [77] 576(4.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [82] 100.0% ---------------------------------------------------------------------- map-enodes [72] 100.0% [78] 320(2.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [83] 52.5% setfindf [84] 47.5% ---------------------------------------------------------------------- ->flonum [56] 8.6% ??? [69] 15.9% ??? [73] 75.5% [79] 2466(17.7%) 734(5.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [85] 61.0% ??? [87] 9.2% ---------------------------------------------------------------------- bfhypot [74] 12.3% bfasin [76] 26.0% real->bigfloat [59] 61.7% [80] 1968(14.2%) 1968(14.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- for-loop [75] 100.0% [81] 868(6.2%) 564(4.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [91] 17.5% custom-in-set [90] 17.5% ---------------------------------------------------------------------- one-iter [70] 22.4% loop [77] 77.6% [82] 742(5.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [86] 77.6% substitute-e [89] 22.4% ---------------------------------------------------------------------- for-loop [78] 100.0% [83] 168(1.2%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [88] 100.0% ---------------------------------------------------------------------- for-loop [78] 100.0% [84] 152(1.1%) 152(1.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- ??? [79] 100.0% [85] 1504(10.8%) 854(6.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [92] 43.2% ---------------------------------------------------------------------- apply-match [82] 100.0% [86] 576(4.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [93] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [87] 228(1.6%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [94] 100.0% ---------------------------------------------------------------------- eval-const-expr [83] 100.0% [88] 168(1.2%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [95] 100.0% ---------------------------------------------------------------------- substitute-e [89] 50.0% apply-match [82] 50.0% [89] 166(1.2%) 166(1.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [89] 50.0% ---------------------------------------------------------------------- match-e [81] 100.0% [90] 152(1.1%) 152(1.1%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- match-e [81] 100.0% [91] 152(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [96] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [92] 650(4.7%) 650(4.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- for-loop [86] 100.0% [93] 576(4.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 update-en-expr [97] 100.0% ---------------------------------------------------------------------- ??? [87] 100.0% [94] 228(1.6%) 228(1.6%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ---------------------------------------------------------------------- inductor [95] 50.0% expression-induct31 [88] 50.0% [95] 168(1.2%) 168(1.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [95] 50.0% ---------------------------------------------------------------------- list-cartesian-product [96] 50.0% for-loop [91] 50.0% [96] 152(1.1%) 152(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [96] 50.0% ---------------------------------------------------------------------- loop! [93] 100.0% [97] 576(4.1%) 576(4.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------