Profiling results ----------------- Total cpu time observed: 56126ms (out of 57184ms) Number of samples taken: 206 (once every 272ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 104 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [46] 100.0% [1] 55886(99.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ---------------------------------------------------------------------- ??? [46] 100.0% [2] 7732(13.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 54.5% loop [10] 40.0% setup-prog [16] 2.9% finalize-table! [20] 2.6% ---------------------------------------------------------------------- hash-ref! [75] 100.0% [3] 7152(12.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [47] 96.9% hash-ref! [75] 3.1% ---------------------------------------------------------------------- simplify-alt [24] 6.8% ??? [46] 93.2% [4] 3318(5.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 55.7% for-loop [13] 30.9% loop [17] 6.8% iterate-egraph!5 [23] 6.6% ---------------------------------------------------------------------- location-do [57] 100.0% [5] 656(1.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [14] 100.0% ---------------------------------------------------------------------- hash-ref! [75] 100.0% [6] 236(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [15] 100.0% ---------------------------------------------------------------------- f37 [85] 100.0% [7] 220(0.4%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [19] 100.0% ---------------------------------------------------------------------- hash-ref! [75] 100.0% [8] 220(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 55886(99.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [46] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 6.0% ??? [46] 94.0% [10] 51250(91.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [21] 55.4% make-exacts* [28] 33.1% loop [29] 11.6% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 4212(7.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [22] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [12] 1848(3.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [13] 1026(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 100.0% ---------------------------------------------------------------------- approximate9 [5] 100.0% [14] 656(1.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [75] 69.5% make-term [26] 30.5% ---------------------------------------------------------------------- ??? [6] 100.0% [15] 236(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [75] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 224(0.4%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [24] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [17] 224(0.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [18] 220(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 simplify [80] 100.0% ---------------------------------------------------------------------- taylor-quotient [7] 100.0% [19] 220(0.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [75] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [20] 200(0.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% ---------------------------------------------------------------------- loop [10] 100.0% [21] 28380(50.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [29] 36.2% eval-prog [71] 32.7% make-exacts* [28] 31.1% ---------------------------------------------------------------------- for-loop [11] 100.0% [22] 4212(7.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [30] 73.5% gen-series! [32] 10.8% finalize-iter! [33] 10.0% localize-error [34] 5.7% ---------------------------------------------------------------------- simplify [4] 7.1% for-loop [13] 33.2% simplify-expr [12] 59.7% [23] 3094(5.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [31] 92.8% map-enodes [36] 7.2% ---------------------------------------------------------------------- setup-prog [16] 100.0% [24] 224(0.4%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [4] 100.0% ---------------------------------------------------------------------- loop [17] 100.0% [25] 224(0.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [35] 100.0% ---------------------------------------------------------------------- loop [14] 100.0% [26] 200(0.4%) 200(0.4%) make-term ...lock/herbie/src/core/taylor.rkt:124:0 ---------------------------------------------------------------------- finalize-table! [20] 100.0% [27] 200(0.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [37] 100.0% ---------------------------------------------------------------------- loop [21] 34.2% loop [10] 65.8% [28] 25768(45.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [38] 48.3% loop [47] 36.0% eval-prog [71] 15.7% ---------------------------------------------------------------------- loop [10] 36.6% loop [21] 63.4% [29] 16192(28.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [38] 100.0% ---------------------------------------------------------------------- run-iter! [22] 100.0% [30] 3094(5.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [39] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [31] 2872(5.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [40] 64.3% loop [41] 28.7% apply-match [48] 7.0% ---------------------------------------------------------------------- run-iter! [22] 100.0% [32] 456(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [42] 100.0% ---------------------------------------------------------------------- run-iter! [22] 100.0% [33] 422(0.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [43] 100.0% ---------------------------------------------------------------------- run-iter! [22] 100.0% [34] 240(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [75] 100.0% ---------------------------------------------------------------------- pass [25] 100.0% [35] 224(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [44] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [36] 222(0.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [47] 100.0% ---------------------------------------------------------------------- post-process [27] 100.0% [37] 200(0.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [45] 100.0% ---------------------------------------------------------------------- make-exacts* [28] 43.5% loop [29] 56.5% [38] 28648(51.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [47] 100.0% ---------------------------------------------------------------------- simplify! [30] 100.0% [39] 3094(5.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [46] 100.0% ---------------------------------------------------------------------- for-loop [40] 44.6% one-iter [31] 55.4% [40] 1848(3.3%) 804(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [40] 44.6% match-e [52] 28.2% ---------------------------------------------------------------------- one-iter [31] 100.0% [41] 824(1.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [48] 100.0% ---------------------------------------------------------------------- gen-series! [32] 100.0% [42] 456(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [49] 100.0% ---------------------------------------------------------------------- finalize-iter! [33] 100.0% [43] 422(0.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [50] 100.0% ---------------------------------------------------------------------- for-loop [35] 100.0% [44] 224(0.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [51] 100.0% ---------------------------------------------------------------------- for-loop [37] 100.0% [45] 200(0.4%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [49] 100.0% ---------------------------------------------------------------------- for-loop [39] 1.8% run [9] 49.1% [46] 55886(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.1% loop [10] 43.1% run-improve58 [2] 6.0% simplify [4] 1.8% ---------------------------------------------------------------------- make-exacts* [28] 0.1% map-enodes [36] 0.2% loop! [60] 0.4% map [38] 2.6% ??? [3] 15.3% loop [47] 81.4% [47] 45262(80.6%) 1052(1.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [47] 81.4% hash-ref! [75] 15.3% ??? [74] 2.6% loop! [60] 0.4% ->flonum [89] 0.0% ---------------------------------------------------------------------- one-iter [31] 19.5% loop [41] 80.5% [48] 1024(1.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [54] 60.9% match-e [52] 19.5% loop! [60] 19.5% ---------------------------------------------------------------------- append-map [45] 30.5% for-loop [42] 69.5% [49] 656(1.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [53] 100.0% ---------------------------------------------------------------------- ??? [43] 100.0% [50] 422(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [55] 100.0% ---------------------------------------------------------------------- argmin [44] 100.0% [51] 224(0.4%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [56] 100.0% ---------------------------------------------------------------------- apply-match [48] 8.0% for-loop [58] 16.9% for-loop [40] 75.1% [52] 1244(2.2%) 620(1.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [58] 34.6% for-loop [62] 16.2% list-cartesian-product [63] 16.2% ---------------------------------------------------------------------- taylor-alt [49] 100.0% [53] 656(1.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [57] 100.0% ---------------------------------------------------------------------- for-loop [64] 16.2% apply-match [48] 83.8% [54] 624(1.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [61] 35.6% update-leader! [65] 32.1% for-loop [64] 16.2% loop! [60] 16.2% ---------------------------------------------------------------------- for-loop [50] 100.0% [55] 422(0.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [59] 100.0% ---------------------------------------------------------------------- expression-cost [51] 100.0% [56] 224(0.4%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [75] 100.0% ---------------------------------------------------------------------- for-loop [53] 27.8% location-do [57] 72.2% [57] 656(1.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [57] 72.2% approximate9 [5] 27.8% ---------------------------------------------------------------------- match-e [52] 100.0% [58] 640(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [52] 65.6% ??? [67] 34.4% ---------------------------------------------------------------------- atab-add-altn [55] 100.0% [59] 422(0.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [66] 100.0% ---------------------------------------------------------------------- loop [47] 24.9% apply-match [48] 24.9% merge-egraph-nodes! [54] 50.2% [60] 402(0.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [68] 50.2% loop [47] 24.9% set [69] 24.9% ---------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [61] 222(0.4%) 222(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- match-e [52] 100.0% [62] 202(0.4%) 202(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- match-e [52] 100.0% [63] 202(0.4%) 202(0.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [64] 202(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [54] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [65] 200(0.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 custom-set-union! [70] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [59] 100.0% [66] 422(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [71] 52.1% for-loop [73] 47.9% ---------------------------------------------------------------------- for-loop [58] 100.0% [67] 220(0.4%) 220(0.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ---------------------------------------------------------------------- loop! [60] 100.0% [68] 202(0.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [72] 100.0% ---------------------------------------------------------------------- loop! [60] 100.0% [69] 200(0.4%) 200(0.4%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- update-leader! [65] 100.0% [70] 200(0.4%) 200(0.4%) custom-set-union! ...t/private/set-types.rkt:246:0 ---------------------------------------------------------------------- errors [66] 1.6% make-exacts* [28] 29.9% loop [21] 68.5% [71] 13558(24.2%) 450(0.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [75] 95.0% ---------------------------------------------------------------------- custom-set-union [68] 100.0% [72] 202(0.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [76] 100.0% ---------------------------------------------------------------------- errors [66] 100.0% [73] 202(0.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [74] 100.0% ---------------------------------------------------------------------- for-loop [73] 0.6% loop [47] 99.4% [74] 35916(64.0%) 1092(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [77] 70.0% real->bigfloat [79] 15.4% ??? [92] 10.4% ->flonum [89] 0.6% ---------------------------------------------------------------------- compile [56] 0.3% first-nonzero-exp [19] 0.5% ??? [15] 0.9% ??? [3] 1.3% loop [14] 1.4% localize-error [34] 1.7% loop [47] 34.5% eval-prog [71] 58.8% [75] 13794(24.6%) 442(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [78] 57.2% ??? [3] 35.8% ??? [6] 0.9% simplify [80] 0.9% f37 [85] 0.5% ??? [8] 0.5% ---------------------------------------------------------------------- for-loop [72] 100.0% [76] 202(0.4%) 202(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ??? [74] 100.0% [77] 25134(44.8%) 704(1.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 50.0% bf* [81] 30.8% ...higher-order.rkt:373:33 [84] 16.4% ---------------------------------------------------------------------- hash-ref! [75] 100.0% [78] 12656(22.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [82] 57.2% sig+exp->bigfloat [83] 42.8% ---------------------------------------------------------------------- ??? [74] 100.0% [79] 5528(9.8%) 3940(7.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 28.7% ---------------------------------------------------------------------- for-loop [18] 48.2% hash-ref! [75] 51.8% [80] 456(0.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [85] 100.0% ---------------------------------------------------------------------- ??? [77] 100.0% [81] 7732(13.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [87] 100.0% ---------------------------------------------------------------------- bigfloat-hash [78] 100.0% [82] 7242(12.9%) 7242(12.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [78] 100.0% [83] 5414(9.6%) 5174(9.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [97] 4.4% ---------------------------------------------------------------------- ??? [77] 100.0% [84] 4126(7.4%) 252(0.4%) ...higher-order.rkt:373:33 (unknown source) ??? [88] 93.9% ---------------------------------------------------------------------- f37 [85] 16.1% hash-ref! [75] 16.1% simplify [80] 67.8% [85] 456(0.8%) 236(0.4%) f37 ...t/collects/racket/match/compiler.rkt:499:40 f37 [85] 16.1% taylor-quotient [7] 16.1% parse-app [90] 16.1% ---------------------------------------------------------------------- loop [86] 98.8% [86] 240(0.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [86] 98.8% ->flonum [89] 1.2% ---------------------------------------------------------------------- bf* [81] 38.1% ??? [77] 61.9% [87] 20304(36.2%) 2058(3.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [91] 62.5% bfsqrt [93] 16.2% ??? [96] 11.1% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [84]100.0% [88] 3874(6.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ---------------------------------------------------------------------- ??? [74] 12.7% loop [86] 15.1% loop [47] 72.2% [89] 1588(2.8%) 202(0.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [96] 60.5% ??? [94] 13.6% ??? [95] 13.2% ---------------------------------------------------------------------- f37 [85] 100.0% [90] 220(0.4%) 220(0.4%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- ??? [87] 100.0% [91] 12700(22.6%) 10408(18.5%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 18.0% ---------------------------------------------------------------------- ??? [74] 49.1% ??? [88] 50.9% [92] 7610(13.6%) 216(0.4%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 97.2% ---------------------------------------------------------------------- ??? [87] 100.0% [93] 3294(5.9%) 2414(4.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 26.7% ---------------------------------------------------------------------- ->flonum [89] 100.0% [94] 216(0.4%) 216(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ->flonum [89] 100.0% [95] 210(0.4%) 210(0.4%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ---------------------------------------------------------------------- ->flonum [89] 9.1% ??? [87] 21.2% ??? [92] 69.7% [96] 10606(18.9%) 5026(9.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 52.6% ---------------------------------------------------------------------- sig+exp->bigfloat [83] 4.8% bfsqrt [93] 17.6% real->bigfloat [79] 31.8% bfsub [91] 45.8% [97] 5000(8.9%) 5000(8.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [96] 100.0% [98] 5580(9.9%) 2128(3.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 61.9% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 3452(6.2%) 3452(6.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------