Profiling results ----------------- Total cpu time observed: 29040ms (out of 29648ms) Number of samples taken: 122 (once every 238ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 97 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [29] 100.0% [1] 27938(96.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% --------------------------------------------------------------------- ??? [29] 100.0% [2] 9400(32.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 get-final-combination [5] 45.4% for-loop [6] 39.5% finalize-table! [7] 10.9% loop [34] 4.2% --------------------------------------------------------------------- location-do [46] 100.0% [3] 662(2.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-sqrt [8] 36.3% taylor [9] 33.5% loop [10] 30.2% --------------------------------------------------------------------- profile-thunk14 [1] 98.4% [4] 28380(97.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 4272(14.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [11] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 3714(12.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 1020(3.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [13] 100.0% --------------------------------------------------------------------- approximate9 [3] 100.0% [8] 240(0.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [19] 100.0% --------------------------------------------------------------------- approximate9 [3] 100.0% [9] 222(0.8%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [14] 100.0% --------------------------------------------------------------------- approximate9 [3] 100.0% [10] 200(0.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [15] 100.0% --------------------------------------------------------------------- get-final-combination [5] 100.0% [11] 4272(14.7%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [16] 100.0% --------------------------------------------------------------------- for-loop [6] 100.0% [12] 3714(12.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 65.9% finalize-iter! [18] 27.6% gen-series! [21] 6.5% --------------------------------------------------------------------- finalize-table! [7] 100.0% [13] 1020(3.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [20] 41.4% loop [51] 39.0% ??? [25] 19.6% --------------------------------------------------------------------- taylor [9] 100.0% [14] 222(0.8%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [22] 100.0% --------------------------------------------------------------------- ??? [23] 50.0% loop [10] 50.0% [15] 200(0.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [23] 50.0% simplify [19] 50.0% --------------------------------------------------------------------- split-table [11] 100.0% [16] 4272(14.7%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [53] 62.9% loop [51] 37.1% --------------------------------------------------------------------- run-iter! [12] 100.0% [17] 2448(8.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% --------------------------------------------------------------------- run-iter! [12] 100.0% [18] 1026(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% --------------------------------------------------------------------- hash-ref! [15] 45.5% taylor-sqrt [8] 54.5% [19] 440(1.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [26] 54.5% f66 [28] 45.5% --------------------------------------------------------------------- post-process [13] 100.0% [20] 422(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [31] 100.0% --------------------------------------------------------------------- run-iter! [12] 100.0% [21] 240(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% --------------------------------------------------------------------- debug-print [14] 100.0% [22] 222(0.8%) 222(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- hash-ref! [15] 100.0% [23] 200(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [15] 100.0% --------------------------------------------------------------------- simplify! [17] 100.0% [24] 2448(8.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% --------------------------------------------------------------------- post-process [13] 16.3% finalize-iter! [18] 83.7% [25] 1226(4.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 83.5% atab-add-altns [32] 16.5% --------------------------------------------------------------------- simplify [19] 100.0% [26] 240(0.8%) 240(0.8%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 --------------------------------------------------------------------- gen-series! [21] 100.0% [27] 240(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% --------------------------------------------------------------------- composed [33] 20.0% simplify [19] 20.0% append-map [31] 60.0% [28] 200(0.7%) 0(0.0%) f66 ...t/collects/racket/match/compiler.rkt:499:40 append-map [31] 80.0% composed [33] 20.0% --------------------------------------------------------------------- for-loop [24] 2.9% run [4] 49.0% [29] 28598(98.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.4% loop [34] 34.3% run-improve58 [2] 15.4% simplify [35] 2.9% --------------------------------------------------------------------- ??? [25] 100.0% [30] 1024(3.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% --------------------------------------------------------------------- f66 [28] 37.9% for-loop [20] 62.1% [31] 422(1.5%) 200(0.7%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [37] 62.1% f66 [28] 28.4% --------------------------------------------------------------------- ??? [25] 100.0% [32] 202(0.7%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [36] 100.0% --------------------------------------------------------------------- f66 [28] 100.0% [33] 200(0.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f66 [28] 100.0% --------------------------------------------------------------------- run-improve58 [2] 2.0% ??? [29] 98.0% [34] 19592(67.5%) 222(0.8%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [38] 50.8% make-exacts* [43] 34.7% loop [44] 11.1% for-loop [42] 2.3% --------------------------------------------------------------------- ??? [29] 100.0% [35] 2448(8.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [39] 59.1% simplify-expr [58] 32.8% iterate-egraph!5 [63] 8.2% --------------------------------------------------------------------- atab-add-altns [32] 16.5% for-loop [30] 83.5% [36] 1226(4.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [40] 100.0% --------------------------------------------------------------------- for-loop [27] 36.3% append-map [31] 63.7% [37] 662(2.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% --------------------------------------------------------------------- loop [34] 100.0% [38] 9954(34.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [44] 62.4% make-exacts* [43] 37.6% --------------------------------------------------------------------- simplify [35] 100.0% [39] 1446(5.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [63] 100.0% --------------------------------------------------------------------- atab-add-altn [36] 100.0% [40] 1226(4.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [45] 82.1% for-loop [48] 17.9% --------------------------------------------------------------------- taylor-alt [37] 100.0% [41] 662(2.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% --------------------------------------------------------------------- loop [34] 100.0% [42] 442(1.5%) 212(0.7%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [47] 52.0% --------------------------------------------------------------------- loop [38] 35.5% loop [34] 64.5% [43] 10554(36.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [51] 52.2% map [49] 47.8% --------------------------------------------------------------------- loop [34] 25.9% loop [38] 74.1% [44] 8374(28.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [49] 100.0% --------------------------------------------------------------------- option-on-expr [53] 17.9% best-and-tied-at-points [40] 82.1% [45] 1226(4.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [50] 100.0% --------------------------------------------------------------------- for-loop [41] 30.1% location-do [46] 69.9% [46] 662(2.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [46] 69.9% approximate9 [3] 30.1% --------------------------------------------------------------------- for-loop [42] 100.0% [47] 230(0.8%) 230(0.8%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 --------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [48] 220(0.8%) 220(0.8%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- make-exacts* [43] 37.6% loop [44] 62.4% [49] 13424(46.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [51] 100.0% --------------------------------------------------------------------- errors [45] 100.0% [50] 1226(4.2%) 202(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [52] 83.5% --------------------------------------------------------------------- post-process [13] 0.3% make-exacts* [43] 0.4% ??? [52] 1.4% map [49] 1.9% infer-splitpoints4 [16] 7.5% loop [51] 88.5% [51] 21112(72.7%) 220(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [51] 88.5% option-on-expr [53] 7.5% ??? [52] 1.8% ->flonum [59] 1.2% completely-simplify-alt [54] 0.3% ??? [73] 0.3% real->bigfloat [56] 0.1% --------------------------------------------------------------------- for-loop [50] 5.3% loop [51] 94.7% [52] 19496(67.1%) 2346(8.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [55] 47.3% real->bigfloat [56] 23.6% loop [51] 8.2% ??? [73] 7.7% ->flonum [59] 1.1% --------------------------------------------------------------------- loop [51] 37.1% infer-splitpoints4 [16] 62.9% [53] 4272(14.7%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [57] 79.5% pick-errors [60] 10.7% errors [45] 5.1% err-lsts->split-indices [61] 4.7% --------------------------------------------------------------------- loop [51] 100.0% [54] 398(1.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [58] 100.0% --------------------------------------------------------------------- ??? [52] 100.0% [55] 9228(31.8%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [69] 68.7% ...higher-order.rkt:373:33 [64] 17.2% bf* [66] 7.5% ??? [65] 6.5% --------------------------------------------------------------------- loop [51] 17.5% ??? [52] 82.5% [56] 5570(19.2%) 3900(13.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [82] 30.0% --------------------------------------------------------------------- option-on-expr [53] 100.0% [57] 3396(11.7%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [62] 100.0% --------------------------------------------------------------------- completely-simplify-alt [54] 33.2% simplify [35] 66.8% [58] 1200(4.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [63] 100.0% --------------------------------------------------------------------- ??? [52] 33.4% loop [51] 66.6% [59] 658(2.3%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [65] 64.1% ??? [80] 35.9% --------------------------------------------------------------------- option-on-expr [53] 100.0% [60] 456(1.6%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [67] 100.0% --------------------------------------------------------------------- option-on-expr [53] 100.0% [61] 200(0.7%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [68] 100.0% --------------------------------------------------------------------- sort-context-on-expr [57] 100.0% [62] 3396(11.7%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [70] 92.9% loop [76] 7.1% --------------------------------------------------------------------- simplify [35] 7.0% simplify-expr [58] 42.2% for-loop [39] 50.8% [63] 2846(9.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [71] 100.0% --------------------------------------------------------------------- ??? [55] 100.0% [64] 1590(5.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [72] 71.9% ??? [73] 28.1% --------------------------------------------------------------------- ->flonum [59] 41.2% ??? [55] 58.8% [65] 1024(3.5%) 1024(3.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- ??? [55] 100.0% [66] 692(2.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [69] 100.0% --------------------------------------------------------------------- pick-errors [60] 100.0% [67] 456(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [85] 100.0% --------------------------------------------------------------------- err-lsts->split-indices [61] 100.0% [68] 200(0.7%) 200(0.7%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 --------------------------------------------------------------------- bf* [66] 9.8% ??? [55] 90.2% [69] 7036(24.2%) 1970(6.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfhypot [75] 27.2% ??? [80] 26.0% bfatan [78] 18.8% --------------------------------------------------------------------- copying-mergesort [70] 41.5% sort [62] 58.5% [70] 3154(10.9%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 loop [76] 45.8% copying-mergesort [70] 41.5% jloop [77] 12.8% --------------------------------------------------------------------- iterate-egraph!5 [63] 100.0% [71] 2846(9.8%) 202(0.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [74] 71.2% loop [79] 14.8% apply-match [84] 7.0% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [64]100.0% [72] 1144(3.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [73] 100.0% --------------------------------------------------------------------- loop [51] 12.2% ...higher-order.rkt:373:33 [64] 12.7% ??? [72] 32.5% ??? [52] 42.7% [73] 3520(12.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [80] 100.0% --------------------------------------------------------------------- for-loop [74] 50.0% one-iter [71] 50.0% [74] 2026(7.0%) 1226(4.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [74] 50.0% match-e [83] 19.7% --------------------------------------------------------------------- ??? [69] 100.0% [75] 1914(6.6%) 1474(5.1%) bfhypot ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [82] 23.0% --------------------------------------------------------------------- sort [62] 13.5% copying-mergesort [70] 86.5% [76] 1786(6.2%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [81] 100.0% --------------------------------------------------------------------- copying-mergesort [70] 100.0% [77] 1610(5.5%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [81] 100.0% --------------------------------------------------------------------- ??? [69] 100.0% [78] 1324(4.6%) 1324(4.6%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:616:4 --------------------------------------------------------------------- one-iter [71] 100.0% [79] 420(1.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [84] 100.0% --------------------------------------------------------------------- ->flonum [59] 4.2% ??? [69] 32.7% ??? [73] 63.0% [80] 5584(19.2%) 2534(8.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [86] 51.0% ??? [88] 3.7% --------------------------------------------------------------------- jloop [77] 47.4% loop [76] 52.6% [81] 3396(11.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [85] 100.0% --------------------------------------------------------------------- bfhypot [75] 20.9% real->bigfloat [56] 79.1% [82] 2110(7.3%) 2110(7.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- for-loop [74] 100.0% [83] 800(2.8%) 800(2.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 --------------------------------------------------------------------- one-iter [71] 32.0% loop [79] 68.0% [84] 618(2.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [87] 35.6% for-loop [89] 32.4% merge-egraph-nodes! [90] 32.0% --------------------------------------------------------------------- for-loop [67] 11.8% ??? [81] 88.2% [85] 3852(13.3%) 3368(11.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [92] 6.3% new-lambda [93] 6.3% --------------------------------------------------------------------- ??? [80] 100.0% [86] 2846(9.8%) 1390(4.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [91] 51.2% --------------------------------------------------------------------- substitute-e [87] 50.0% apply-match [84] 50.0% [87] 220(0.8%) 220(0.8%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [87] 50.0% --------------------------------------------------------------------- ??? [80] 100.0% [88] 204(0.7%) 204(0.7%) ??? ...ects/racket/contract/private/prop.rkt:489:4 --------------------------------------------------------------------- apply-match [84] 100.0% [89] 200(0.7%) 200(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 --------------------------------------------------------------------- apply-match [84] 100.0% [90] 198(0.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 make-sequence [94] 100.0% --------------------------------------------------------------------- ??? [86] 100.0% [91] 1456(5.0%) 1456(5.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------- eval-prog [85] 100.0% [92] 242(0.8%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [95] 100.0% --------------------------------------------------------------------- eval-prog [85] 100.0% [93] 242(0.8%) 0(0.0%) new-lambda ...ollects/racket/private/kw.rkt:631:11 loop [96] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [90] 100.0% [94] 198(0.7%) 198(0.7%) make-sequence ...ects/racket/private/for.rkt:508:2 --------------------------------------------------------------------- ??? [92] 100.0% [95] 242(0.8%) 242(0.8%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 --------------------------------------------------------------------- new-lambda [93] 100.0% [96] 242(0.8%) 242(0.8%) loop .../collects/racket/private/stxcase.rkt:112:7 ---------------------------------------------------------------------