Profiling results ----------------- Total cpu time observed: 21556ms (out of 21964ms) Number of samples taken: 90 (once every 240ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 102 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [32] 100.0% [1] 21174(98.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [2] 6216(28.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 86.9% get-final-combination [14] 9.7% loop [37] 3.4% ----------------------------------------------------------------------- loop [84] 12.1% ??? [32] 87.9% [3] 3316(15.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [19] 50.4% simplify-expr [11] 42.9% for-loop [16] 6.6% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [4] 1032(4.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [5] 1032(4.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [6] 414(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ----------------------------------------------------------------------- f16 [86] 100.0% [7] 212(1.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [17] 100.0% ----------------------------------------------------------------------- f16 [86] 100.0% [8] 200(0.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [74] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 21174(98.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 5400(25.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 1424(6.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [12] 1032(4.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [71] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [13] 1032(4.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [20] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 604(2.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [15] 414(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [71] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [16] 220(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% ----------------------------------------------------------------------- taylor-quotient [7] 100.0% [17] 212(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [71] 100.0% ----------------------------------------------------------------------- for-loop [10] 100.0% [18] 5400(25.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 54.0% gen-series! [24] 34.1% finalize-iter! [25] 8.2% choose-best-alt! [26] 3.7% ----------------------------------------------------------------------- for-loop [16] 6.6% simplify-expr [11] 42.9% simplify [3] 50.4% [19] 3316(15.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 100.0% ----------------------------------------------------------------------- for-loop [13] 100.0% [20] 1032(4.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [71] 100.0% ----------------------------------------------------------------------- get-final-combination [14] 100.0% [21] 604(2.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [84] 66.6% argmins [55] 33.4% ----------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [22] 3316(15.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 62.7% loop [30] 31.2% apply-match [34] 6.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [23] 2914(13.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [24] 1844(8.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [25] 442(2.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [31] 100.0% ----------------------------------------------------------------------- run-iter! [18] 100.0% [26] 200(0.9%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [31] 100.0% ----------------------------------------------------------------------- simplify! [23] 100.0% [27] 2914(13.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ----------------------------------------------------------------------- for-loop [28] 44.7% one-iter [22] 55.3% [28] 2080(9.6%) 824(3.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 44.7% match-e [39] 30.2% ----------------------------------------------------------------------- gen-series! [24] 100.0% [29] 1844(8.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ----------------------------------------------------------------------- one-iter [22] 100.0% [30] 1036(4.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [34] 100.0% ----------------------------------------------------------------------- choose-best-alt! [26] 31.2% finalize-iter! [25] 68.8% [31] 642(3.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [35] 68.8% atab-pick-alt8 [36] 31.2% ----------------------------------------------------------------------- for-loop [27] 4.8% run [9] 47.2% [32] 21556(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.2% loop [37] 35.6% run-improve58 [2] 12.5% simplify [3] 4.8% ----------------------------------------------------------------------- for-loop [29] 100.0% [33] 1844(8.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ----------------------------------------------------------------------- one-iter [22] 16.2% loop [30] 83.8% [34] 1236(5.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [41] 34.1% loop! [88] 34.0% reduce-to-single! [42] 16.2% match-e [39] 15.7% ----------------------------------------------------------------------- ??? [31] 100.0% [35] 442(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ----------------------------------------------------------------------- ??? [31] 100.0% [36] 200(0.9%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [43] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 1.4% ??? [32] 98.6% [37] 15552(72.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [44] 52.8% make-exacts* [52] 35.4% loop [53] 11.8% ----------------------------------------------------------------------- taylor-alt [33] 100.0% [38] 1844(8.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ----------------------------------------------------------------------- apply-match [34] 13.4% for-loop [56] 13.8% for-loop [28] 72.8% [39] 1450(6.7%) 816(3.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 36.8% for-loop [56] 6.9% custom-in-set [50] 6.9% ----------------------------------------------------------------------- for-loop [35] 100.0% [40] 442(2.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 50.2% loop [84] 49.8% ----------------------------------------------------------------------- apply-match [34] 100.0% [41] 422(2.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [47] 100.0% ----------------------------------------------------------------------- apply-match [34] 100.0% [42] 200(0.9%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [49] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [36] 100.0% [43] 200(0.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [51] 100.0% ----------------------------------------------------------------------- loop [37] 100.0% [44] 8208(38.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [53] 58.9% make-exacts* [52] 32.5% eval-prog [68] 5.7% map [60] 2.9% ----------------------------------------------------------------------- location-do [45] 30.7% for-loop [38] 69.3% [45] 1844(8.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [54] 69.3% location-do [45] 30.7% ----------------------------------------------------------------------- match-e [39] 100.0% [46] 634(2.9%) 240(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [56] 31.5% list-cartesian-product [58] 30.6% ----------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [47] 422(2.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 make-sequence [57] 56.9% for-loop [59] 43.1% ----------------------------------------------------------------------- atab-add-altn [40] 100.0% [48] 222(1.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 100.0% ----------------------------------------------------------------------- reduce-to-single! [42] 100.0% [49] 200(0.9%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------- match-e [39] 100.0% [50] 200(0.9%) 200(0.9%) custom-in-set ...acket/private/set-types.rkt:578:0 ----------------------------------------------------------------------- ??? [43] 100.0% [51] 200(0.9%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [55] 100.0% ----------------------------------------------------------------------- loop [44] 32.6% loop [37] 67.4% [52] 8178(37.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [60] 55.7% loop [84] 44.3% ----------------------------------------------------------------------- loop [37] 27.5% loop [44] 72.5% [53] 6668(30.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% ----------------------------------------------------------------------- location-do [45] 100.0% [54] 1844(8.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [61] 77.7% f16 [86] 22.3% ----------------------------------------------------------------------- best-alt [51] 49.8% extract-alt [21] 50.2% [55] 402(1.9%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [62] 100.0% ----------------------------------------------------------------------- match-e [39] 50.0% for-loop [46] 50.0% [56] 400(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 100.0% ----------------------------------------------------------------------- update-leader! [47] 100.0% [57] 240(1.1%) 240(1.1%) make-sequence ...ects/racket/private/for.rkt:508:2 ----------------------------------------------------------------------- for-loop [46] 100.0% [58] 194(0.9%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [63] 100.0% ----------------------------------------------------------------------- update-leader! [47] 100.0% [59] 182(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 100.0% ----------------------------------------------------------------------- loop [44] 2.0% f16 [86] 3.5% make-exacts* [52] 38.3% loop [53] 56.2% [60] 11872(55.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [84] 92.7% loop [66] 2.0% ??? [85] 1.8% f16 [86] 1.8% parse-loop50 [80] 1.7% ----------------------------------------------------------------------- approximate9 [54] 100.0% [61] 1432(6.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% ----------------------------------------------------------------------- argmins [55] 100.0% [62] 402(1.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [65] 100.0% ----------------------------------------------------------------------- list-cartesian-product [58] 100.0% [63] 194(0.9%) 194(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- for-loop [59] 100.0% [64] 182(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [48] 35.6% composed [62] 64.4% [65] 624(2.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [69] 64.4% eval-prog [68] 35.6% ----------------------------------------------------------------------- map [60] 0.8% loop [66] 99.2% [66] 242(1.1%) 242(1.1%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [66] 99.2% ----------------------------------------------------------------------- for-loop [64] 100.0% [67] 182(0.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ----------------------------------------------------------------------- errors [65] 32.4% loop [44] 67.6% [68] 686(3.2%) 222(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [71] 67.6% ----------------------------------------------------------------------- errors [65] 100.0% [69] 402(1.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [85] 50.2% ??? [72] 49.8% ----------------------------------------------------------------------- hash-update! [67] 100.0% [70] 182(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [73] 100.0% ----------------------------------------------------------------------- for-loop [15] 2.5% ??? [76] 4.2% for-loop [20] 8.9% loop [84] 9.0% first-nonzero-exp [17] 10.1% eval-prog [68] 13.1% ??? [75] 13.6% for-loop [12] 15.6% loop [61] 23.2% [71] 2108(9.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [74] 33.3% ??? [4] 15.6% ??? [75] 13.6% bigfloat-hash [77] 13.1% ??? [78] 9.0% ??? [5] 8.9% ??? [76] 4.2% ??? [6] 2.5% ----------------------------------------------------------------------- for-loop [69] 100.0% [72] 200(0.9%) 200(0.9%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ----------------------------------------------------------------------- ??? [70] 100.0% [73] 182(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [79] 100.0% ----------------------------------------------------------------------- taylor-invert [8] 10.8% hash-ref! [71] 89.2% [74] 1844(8.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [80] 55.3% f16 [86] 33.8% debug-print [83] 10.8% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [75] 1230(5.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [71] 100.0% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [76] 634(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [71] 100.0% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 464(2.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [81] 50.9% sig+exp->bigfloat [82] 49.1% ----------------------------------------------------------------------- hash-ref! [71] 100.0% [78] 236(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [84] 100.0% ----------------------------------------------------------------------- for-loop [73] 100.0% [79] 182(0.8%) 182(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- parse-loop50 [80] 14.6% map [60] 16.3% loop [84] 16.5% simplify [74] 52.7% [80] 1218(5.7%) 818(3.8%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [84] 32.7% f16 [86] 16.6% parse-loop50 [80] 14.6% ----------------------------------------------------------------------- bigfloat-hash [77] 100.0% [81] 236(1.1%) 236(1.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- bigfloat-hash [77] 100.0% [82] 228(1.1%) 228(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- simplify [74] 100.0% [83] 200(0.9%) 200(0.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- loop! [88] 0.5% make-exacts* [52] 0.6% map [60] 0.9% atab-add-altn [40] 1.3% ??? [78] 1.4% extract-alt [21] 1.6% parse-loop50 [80] 2.6% loop [84] 91.0% [84] 16506(76.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [84] 91.0% parse-loop50 [80] 2.0% simplify [3] 1.6% ??? [85] 1.5% hash-ref! [71] 1.4% loop [89] 1.3% f16 [86] 0.6% loop! [88] 0.5% ->flonum [87] 0.0% ----------------------------------------------------------------------- for-loop [69] 1.4% map [60] 1.5% loop [84] 97.1% [85] 14366(66.6%) 888(4.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [90] 74.3% real->bigfloat [91] 16.3% ??? [97] 3.2% ----------------------------------------------------------------------- map [60] 4.1% loop [84] 9.6% approximate9 [54] 13.9% f16 [86] 18.0% parse-loop50 [80] 19.7% simplify [74] 34.6% [86] 1026(4.8%) 826(3.8%) f16 ...t/collects/racket/match/compiler.rkt:499:40 f16 [86] 18.0% map [60] 13.8% taylor-invert [8] 9.7% taylor-quotient [7] 4.1% ----------------------------------------------------------------------- loop [84] 100.0% [87] 682(3.2%) 236(1.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [99] 65.4% ----------------------------------------------------------------------- loop [84] 50.0% apply-match [34] 50.0% [88] 420(1.9%) 220(1.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [84] 50.0% set [92] 23.8% ----------------------------------------------------------------------- loop [84] 2.0% loop [89] 98.0% [89] 220(1.0%) 220(1.0%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [89] 98.0% ----------------------------------------------------------------------- ??? [85] 100.0% [90] 10676(49.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 93.9% ...higher-order.rkt:373:33 [94] 4.2% ----------------------------------------------------------------------- ??? [85] 100.0% [91] 2336(10.8%) 2116(9.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 9.4% ----------------------------------------------------------------------- loop! [88] 100.0% [92] 200(0.9%) 200(0.9%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- ??? [90] 100.0% [93] 10028(46.5%) 5450(25.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bflog1p [95] 23.3% bfdiv [96] 12.7% ??? [99] 9.6% ----------------------------------------------------------------------- ??? [90] 100.0% [94] 446(2.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [97] 100.0% ----------------------------------------------------------------------- ??? [93] 100.0% [95] 2338(10.8%) 1228(5.7%) bflog1p ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [98] 47.5% ----------------------------------------------------------------------- ??? [93] 100.0% [96] 1274(5.9%) 228(1.1%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 82.1% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [94] 48.9% ??? [85] 51.1% [97] 912(4.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [99] 100.0% ----------------------------------------------------------------------- real->bigfloat [91] 9.3% bfdiv [96] 44.0% bflog1p [95] 46.7% [98] 2376(11.0%) 2376(11.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ->flonum [87] 19.2% ??? [97] 39.2% ??? [93] 41.6% [99] 2324(10.8%) 1328(6.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 42.9% ----------------------------------------------------------------------- ??? [99] 100.0% [100] 996(4.6%) 446(2.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [101] 55.2% ----------------------------------------------------------------------- ??? [100] 100.0% [101] 550(2.6%) 550(2.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------