Profiling results ----------------- Total cpu time observed: 20272ms (out of 20548ms) Number of samples taken: 86 (once every 236ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 95 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [37] 100.0% [1] 20038(98.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% ---------------------------------------------------------------------- ??? [37] 100.0% [2] 5952(29.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [12] 92.5% loop [41] 3.8% get-final-combination [17] 3.7% ---------------------------------------------------------------------- loop [69] 7.1% ??? [37] 92.9% [3] 3106(15.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [22] 47.7% simplify-expr [14] 45.7% loop [20] 6.6% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [4] 1004(5.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [5] 800(3.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [6] 616(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [72] 66.2% for-loop [18] 33.8% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [7] 312(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [69] 100.0% ---------------------------------------------------------------------- loop [69] 100.0% [8] 220(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [72] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [9] 208(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% ---------------------------------------------------------------------- f6 [61] 100.0% [10] 196(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [13] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [11] 20038(98.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 5508(27.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [21] 100.0% ---------------------------------------------------------------------- taylor-invert [10] 12.3% loop [69] 12.6% hash-ref! [72] 75.1% [13] 1592(7.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [78] 62.6% f6 [61] 37.4% ---------------------------------------------------------------------- simplify [3] 100.0% [14] 1420(7.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [15] 1004(5.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [23] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [16] 800(3.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [72] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 220(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [24] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [18] 208(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [72] 100.0% ---------------------------------------------------------------------- ??? [9] 100.0% [19] 208(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [72] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [20] 204(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% ---------------------------------------------------------------------- for-loop [12] 100.0% [21] 5508(27.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [27] 52.4% gen-series! [28] 32.3% finalize-iter! [29] 11.3% localize-error [30] 4.0% ---------------------------------------------------------------------- simplify-expr [14] 48.9% simplify [3] 51.1% [22] 2902(14.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 100.0% ---------------------------------------------------------------------- for-loop [15] 100.0% [23] 1004(5.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [72] 100.0% ---------------------------------------------------------------------- get-final-combination [17] 100.0% [24] 220(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [69] 100.0% ---------------------------------------------------------------------- loop [20] 100.0% [25] 204(1.0%) 204(1.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 ---------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [26] 2902(14.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 63.1% loop [34] 23.0% loop [36] 13.9% ---------------------------------------------------------------------- run-iter! [21] 100.0% [27] 2886(14.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ---------------------------------------------------------------------- run-iter! [21] 100.0% [28] 1780(8.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [33] 100.0% ---------------------------------------------------------------------- run-iter! [21] 100.0% [29] 622(3.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [35] 100.0% ---------------------------------------------------------------------- run-iter! [21] 100.0% [30] 220(1.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [72] 100.0% ---------------------------------------------------------------------- simplify! [27] 100.0% [31] 2886(14.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% ---------------------------------------------------------------------- for-loop [32] 44.3% one-iter [26] 55.7% [32] 1830(9.0%) 854(4.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 44.3% match-e [43] 26.7% ---------------------------------------------------------------------- gen-series! [28] 100.0% [33] 1780(8.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% ---------------------------------------------------------------------- one-iter [26] 100.0% [34] 668(3.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% ---------------------------------------------------------------------- finalize-iter! [29] 100.0% [35] 622(3.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [40] 100.0% ---------------------------------------------------------------------- one-iter [26] 100.0% [36] 404(2.0%) 404(2.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- for-loop [31] 4.9% run [11] 47.2% [37] 20272(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.2% loop [41] 35.3% run-improve58 [2] 12.5% simplify [3] 4.9% ---------------------------------------------------------------------- for-loop [33] 100.0% [38] 1780(8.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% ---------------------------------------------------------------------- loop [34] 100.0% [39] 668(3.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [43] 65.0% merge-egraph-nodes! [45] 35.0% ---------------------------------------------------------------------- ??? [35] 100.0% [40] 622(3.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.5% ??? [37] 98.5% [41] 14544(71.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [46] 56.0% make-exacts* [53] 32.5% loop [54] 11.4% ---------------------------------------------------------------------- taylor-alt [38] 100.0% [42] 1780(8.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ---------------------------------------------------------------------- for-loop [56] 15.4% apply-match [39] 15.4% for-loop [32] 69.2% [43] 1410(7.0%) 178(0.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [48] 43.9% for-loop [56] 28.1% list-cartesian-product [51] 7.7% loop [69] 7.7% ---------------------------------------------------------------------- for-loop [40] 100.0% [44] 622(3.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49] 65.0% loop [52] 35.0% ---------------------------------------------------------------------- apply-match [39] 100.0% [45] 234(1.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 100.0% ---------------------------------------------------------------------- loop [41] 100.0% [46] 8148(40.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [53] 49.7% loop [54] 46.5% eval-prog [63] 3.8% ---------------------------------------------------------------------- location-do [47] 36.4% for-loop [42] 63.6% [47] 1780(8.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 63.6% location-do [47] 36.4% ---------------------------------------------------------------------- match-e [43] 100.0% [48] 836(4.1%) 202(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [56] 51.9% loop [69] 23.9% ---------------------------------------------------------------------- atab-add-altn [44] 100.0% [49] 404(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [59] 50.0% errors [60] 50.0% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [50] 234(1.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 100.0% ---------------------------------------------------------------------- list-cartesian-product [51] 50.0% match-e [43] 50.0% [51] 218(1.1%) 218(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [51] 50.0% ---------------------------------------------------------------------- atab-add-altn [44] 100.0% [52] 218(1.1%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [58] 100.0% ---------------------------------------------------------------------- loop [46] 46.1% loop [41] 53.9% [53] 8782(43.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [67] 49.0% loop [69] 43.9% eval-prog [63] 7.0% ---------------------------------------------------------------------- loop [41] 30.5% loop [46] 69.5% [54] 5450(26.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [67] 100.0% ---------------------------------------------------------------------- location-do [47] 100.0% [55] 1780(8.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 67.2% f6 [61] 32.8% ---------------------------------------------------------------------- match-e [43] 47.7% for-loop [48] 52.3% [56] 830(4.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [43] 52.3% ??? [64] 47.7% ---------------------------------------------------------------------- update-leader! [50] 100.0% [57] 234(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [65] 100.0% ---------------------------------------------------------------------- loop [52] 33.3% loop [58] 66.7% [58] 218(1.1%) 218(1.1%) loop ...are/racket/collects/racket/list.rkt:431:28 loop [58] 66.7% ---------------------------------------------------------------------- best-and-tied-at-points [49] 100.0% [59] 202(1.0%) 202(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- best-and-tied-at-points [49] 100.0% [60] 202(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [66] 100.0% ---------------------------------------------------------------------- approximate9 [55] 8.6% parse-loop12 [78] 13.3% hash-ref! [72] 15.9% simplify [13] 31.0% f6 [61] 31.2% [61] 1384(6.8%) 388(1.9%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [67] 57.8% f6 [61] 31.2% taylor-invert [10] 2.8% loop [69] 2.4% ---------------------------------------------------------------------- approximate9 [55] 100.0% [62] 1196(5.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [72] 100.0% ---------------------------------------------------------------------- loop [46] 33.5% make-exacts* [53] 66.5% [63] 930(4.6%) 618(3.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [72] 33.5% ---------------------------------------------------------------------- for-loop [56] 100.0% [64] 396(2.0%) 396(2.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ---------------------------------------------------------------------- for-loop [57] 100.0% [65] 234(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [68] 100.0% ---------------------------------------------------------------------- errors [60] 100.0% [66] 202(1.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [71] 100.0% ---------------------------------------------------------------------- f6 [61] 7.6% make-exacts* [53] 40.8% loop [54] 51.6% [67] 10556(52.1%) 184(0.9%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 92.4% parse-loop12 [78] 3.8% ??? [71] 2.1% ---------------------------------------------------------------------- for-loop [65] 100.0% [68] 234(1.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ---------------------------------------------------------------------- make-exacts* [53] 0.3% extract-alt [24] 0.4% map [67] 1.1% f6 [61] 1.3% for-loop [48] 1.3% match-e [43] 1.4% parse-loop12 [78] 1.6% ??? [7] 2.1% loop [69] 90.6% [69] 14966(73.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 90.6% foldl [74] 2.8% hash-ref! [72] 2.1% parse-loop12 [78] 1.4% simplify [13] 1.3% ??? [71] 1.2% simplify [3] 0.4% ??? [8] 0.2% ??? [82] 0.1% ->flonum [73] 0.0% ---------------------------------------------------------------------- hash-update! [68] 100.0% [70] 234(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [75] 100.0% ---------------------------------------------------------------------- for-loop [66] 1.5% map [67] 1.7% loop [69] 96.7% [71] 13066(64.5%) 236(1.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [76] 71.2% real->bigfloat [77] 20.0% ??? [91] 6.9% ---------------------------------------------------------------------- for-loop [19] 1.7% for-loop [18] 1.7% eval-prog [63] 2.6% ??? [6] 3.6% localize-error [30] 4.2% ??? [8] 8.5% for-loop [23] 12.0% for-loop [16] 13.2% loop [69] 15.5% ??? [79] 17.5% loop [62] 17.5% [72] 1728(8.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [79] 17.5% simplify [13] 17.5% ??? [7] 15.5% ??? [5] 13.2% ??? [4] 12.0% parse-loop12 [78] 8.5% ??? [6] 5.4% f6 [61] 4.2% bigfloat-hash [80] 2.6% ??? [9] 1.7% ---------------------------------------------------------------------- loop [69] 100.0% [73] 750(3.7%) 488(2.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [92] 34.9% ---------------------------------------------------------------------- loop [69] 100.0% [74] 416(2.1%) 216(1.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [81] 48.1% ---------------------------------------------------------------------- ??? [70] 100.0% [75] 234(1.2%) 234(1.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- ??? [71] 100.0% [76] 9306(45.9%) 214(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [82] 89.9% ...higher-order.rkt:373:33 [83] 5.7% ??? [86] 2.2% ---------------------------------------------------------------------- ??? [71] 100.0% [77] 2618(12.9%) 2376(11.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [90] 9.2% ---------------------------------------------------------------------- loop [69] 6.5% hash-ref! [72] 13.6% map [67] 15.6% parse-loop12 [78] 23.7% simplify [13] 40.6% [78] 1612(8.0%) 1000(4.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [78] 23.7% loop [69] 20.1% parse-app [85] 6.5% f6 [61] 2.9% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [79] 1196(5.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [72] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [80] 312(1.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [84] 100.0% ---------------------------------------------------------------------- foldl [74] 100.0% [81] 200(1.0%) 200(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- loop [69] 2.6% ??? [76] 97.4% [82] 8584(42.3%) 3456(17.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [92] 21.0% bfdiv [87] 19.6% bfsqrt [88] 19.1% ---------------------------------------------------------------------- ??? [76] 100.0% [83] 526(2.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 54.0% ??? [89] 46.0% ---------------------------------------------------------------------- bigfloat-hash [80] 100.0% [84] 312(1.5%) 312(1.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- parse-loop12 [78] 100.0% [85] 208(1.0%) 208(1.0%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- ??? [76] 100.0% [86] 202(1.0%) 202(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [82] 100.0% [87] 1686(8.3%) 992(4.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [90] 41.2% ---------------------------------------------------------------------- ??? [82] 100.0% [88] 1636(8.1%) 906(4.5%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [90] 44.6% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [83]100.0% [89] 242(1.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [91] 100.0% ---------------------------------------------------------------------- real->bigfloat [77] 14.5% bfdiv [87] 41.7% bfsqrt [88] 43.8% [90] 1666(8.2%) 1666(8.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [89] 16.9% ...higher-order.rkt:373:33 [83] 19.8% ??? [71] 63.3% [91] 1432(7.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [92] 100.0% ---------------------------------------------------------------------- ->flonum [73] 7.5% ??? [91] 40.9% ??? [82] 51.6% [92] 3500(17.3%) 1634(8.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [93] 53.3% ---------------------------------------------------------------------- ??? [92] 100.0% [93] 1866(9.2%) 896(4.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 52.0% ---------------------------------------------------------------------- ??? [93] 100.0% [94] 970(4.8%) 970(4.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------