Profiling results ----------------- Total cpu time observed: 96642ms (out of 97492ms) Number of samples taken: 416 (once every 232ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 99 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [29] 100.0% [1] 94868(98.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------- ??? [29] 100.0% [2] 9918(10.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 78.0% loop [36] 15.9% get-final-combination [10] 6.1% ---------------------------------------------------------------------- loop [80] 9.6% ??? [29] 90.4% [3] 4180(4.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 49.6% iterate-egraph!5 [14] 26.5% for-loop [9] 24.0% ---------------------------------------------------------------------- map [78] 19.0% loop [80] 81.0% [4] 1050(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 81.0% taylor-quotient [12] 19.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [5] 404(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.8% [6] 95104(98.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 7740(8.0%) 236(0.2%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 97.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 2072(2.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 1002(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 602(0.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [11] 404(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [62] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [12] 200(0.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [16] 100.0% ---------------------------------------------------------------------- for-loop [7] 100.0% [13] 7504(7.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 50.4% finalize-iter! [19] 19.1% gen-series! [20] 16.5% localize-error [21] 11.3% choose-best-alt! [23] 2.7% ---------------------------------------------------------------------- for-loop [9] 24.0% simplify [3] 26.5% simplify-expr [8] 49.6% [14] 4180(4.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 90.4% map-enodes [22] 9.6% ---------------------------------------------------------------------- get-final-combination [10] 100.0% [15] 602(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 66.4% loop [54] 33.6% ---------------------------------------------------------------------- taylor-quotient [12] 100.0% [16] 200(0.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [62] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [17] 3780(3.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 3778(3.9%) 200(0.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 83.5% loop [28] 11.2% ---------------------------------------------------------------------- run-iter! [13] 100.0% [19] 1436(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [20] 1236(1.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [21] 850(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [22] 402(0.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [82] 50.2% loop [80] 49.8% ---------------------------------------------------------------------- run-iter! [13] 100.0% [23] 202(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [26] 100.0% ---------------------------------------------------------------------- simplify! [17] 100.0% [24] 3780(3.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ---------------------------------------------------------------------- for-loop [25] 50.0% one-iter [18] 50.0% [25] 3156(3.3%) 1064(1.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 50.0% match-e [30] 29.3% ??? [34] 3.8% ---------------------------------------------------------------------- choose-best-alt! [23] 12.3% finalize-iter! [19] 87.7% [26] 1638(1.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 87.7% atab-pick-alt8 [35] 12.3% ---------------------------------------------------------------------- gen-series! [20] 100.0% [27] 1236(1.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ---------------------------------------------------------------------- one-iter [18] 100.0% [28] 422(0.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ---------------------------------------------------------------------- for-loop [24] 1.4% run [6] 48.9% [29] 96402(99.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.6% loop [36] 45.2% run-improve58 [2] 4.8% simplify [3] 1.4% ---------------------------------------------------------------------- for-loop [47] 10.9% for-loop [25] 89.1% [30] 1850(1.9%) 1446(1.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [39] 27.3% ---------------------------------------------------------------------- ??? [26] 100.0% [31] 1436(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [32] 1236(1.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ---------------------------------------------------------------------- loop [28] 100.0% [33] 422(0.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 52.1% for-loop [41] 47.9% ---------------------------------------------------------------------- for-loop [25] 100.0% [34] 242(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [40] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [35] 202(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [42] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.8% ??? [29] 98.2% [36] 88060(91.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 55.7% loop [43] 43.1% loop [52] 1.3% ---------------------------------------------------------------------- for-loop [31] 100.0% [37] 1436(1.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 86.1% override-at-pnts [50] 13.9% ---------------------------------------------------------------------- taylor-alt [32] 100.0% [38] 1236(1.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ---------------------------------------------------------------------- match-e [30] 100.0% [39] 606(0.6%) 202(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [47] 50.0% list-cartesian-product [48] 16.7% ---------------------------------------------------------------------- ??? [34] 100.0% [40] 242(0.3%) 242(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- apply-match [33] 100.0% [41] 202(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [46] 100.0% ---------------------------------------------------------------------- atab-pick-alt8 [35] 100.0% [42] 202(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [49] 100.0% ---------------------------------------------------------------------- loop [36] 100.0% [43] 37940(39.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 61.9% make-exacts* [51] 38.1% ---------------------------------------------------------------------- atab-add-altn [37] 100.0% [44] 1236(1.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [63] 81.1% for-loop [55] 18.9% ---------------------------------------------------------------------- location-do [45] 20.4% for-loop [38] 79.6% [45] 1236(1.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [53] 79.6% location-do [45] 20.4% ---------------------------------------------------------------------- for-loop [41] 47.9% apply-match [33] 52.1% [46] 422(0.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [56] 52.1% for-loop [57] 47.9% ---------------------------------------------------------------------- for-loop [39] 100.0% [47] 404(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [30] 100.0% ---------------------------------------------------------------------- for-loop [39] 100.0% [48] 202(0.2%) 202(0.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- ??? [42] 100.0% [49] 202(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [54] 100.0% ---------------------------------------------------------------------- atab-add-altn [37] 100.0% [50] 200(0.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [63] 100.0% ---------------------------------------------------------------------- loop [43] 22.8% loop [36] 77.2% [51] 63484(65.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [80] 50.4% map [78] 49.6% ---------------------------------------------------------------------- loop [36] 4.5% loop [43] 95.5% [52] 24576(25.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% ---------------------------------------------------------------------- location-do [45] 100.0% [53] 1236(1.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [58] 83.8% f6 [75] 16.2% ---------------------------------------------------------------------- best-alt [49] 50.0% extract-alt [15] 50.0% [54] 404(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [60] 50.0% errors-score [61] 50.0% ---------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [55] 234(0.2%) 234(0.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [56] 220(0.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [59] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [57] 202(0.2%) 202(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- approximate9 [53] 100.0% [58] 1036(1.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ---------------------------------------------------------------------- update-leader! [56] 100.0% [59] 220(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 100.0% ---------------------------------------------------------------------- loop [54] 100.0% [60] 202(0.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [63] 100.0% ---------------------------------------------------------------------- loop [54] 100.0% [61] 202(0.2%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [80] 100.0% ---------------------------------------------------------------------- loop [79] 2.4% for-loop [11] 4.8% for-loop [71] 5.8% first-nonzero-exp [16] 9.6% ??? [68] 10.8% ??? [66] 11.7% loop [58] 14.1% localize-error [21] 15.6% ??? [4] 25.2% [62] 2086(2.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [76] 25.2% ??? [67] 18.9% f6 [75] 18.0% ??? [66] 11.7% ??? [68] 10.8% simplify [73] 10.6% ??? [5] 4.8% ---------------------------------------------------------------------- override-at-pnts [50] 14.2% composed [60] 14.4% best-and-tied-at-points [44] 71.4% [63] 1404(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [65] 71.5% eval-prog [69] 28.5% ---------------------------------------------------------------------- for-loop [59] 100.0% [64] 220(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [70] 100.0% ---------------------------------------------------------------------- errors [63] 100.0% [65] 1004(1.0%) 200(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [81] 80.1% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [66] 834(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [67] 832(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [71] 100.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [68] 824(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [62] 100.0% ---------------------------------------------------------------------- errors [63] 100.0% [69] 400(0.4%) 400(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- for-loop [64] 100.0% [70] 220(0.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [72] 100.0% ---------------------------------------------------------------------- ??? [67] 100.0% [71] 832(0.9%) 200(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [62] 49.5% simplify [73] 26.4% ---------------------------------------------------------------------- hash-update! [70] 100.0% [72] 220(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [74] 100.0% ---------------------------------------------------------------------- for-loop [71] 21.2% hash-ref! [62] 78.8% [73] 1036(1.1%) 200(0.2%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [75] 41.7% parse-loop12 [76] 39.0% ---------------------------------------------------------------------- ??? [72] 100.0% [74] 220(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [77] 100.0% ---------------------------------------------------------------------- f6 [75] 4.0% approximate9 [53] 11.9% simplify [73] 14.6% map [78] 15.0% hash-ref! [62] 54.5% [75] 1684(1.7%) 220(0.2%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [78] 78.9% f6 [75] 4.0% loop [79] 4.0% ---------------------------------------------------------------------- loop [80] 8.1% simplify [73] 11.3% parse-loop12 [76] 12.9% hash-ref! [62] 67.8% [76] 1254(1.3%) 404(0.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [80] 75.8% parse-loop12 [76] 12.9% ---------------------------------------------------------------------- for-loop [74] 100.0% [77] 220(0.2%) 220(0.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- f6 [75] 2.5% loop [52] 42.7% make-exacts* [51] 54.7% [78] 57532(59.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 98.9% f6 [75] 0.7% ??? [4] 0.3% ---------------------------------------------------------------------- f6 [75] 100.0% [79] 202(0.2%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [62] 100.0% ---------------------------------------------------------------------- errors-score [61] 0.0% map-enodes [22] 0.0% extract-alt [15] 0.1% make-exacts* [51] 0.1% parse-loop12 [76] 0.3% map [78] 1.6% loop [80] 97.9% [80] 89954(93.1%) 202(0.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 97.9% ??? [81] 1.6% parse-loop12 [76] 0.2% ??? [4] 0.1% simplify [3] 0.1% ??? [90] 0.1% ->flonum [85] 0.0% for-loop [82] 0.0% ---------------------------------------------------------------------- for-loop [65] 0.9% loop [80] 99.1% [81] 88638(91.7%) 220(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 96.4% real->bigfloat [84] 2.6% ??? [91] 0.3% ->flonum [85] 0.2% ---------------------------------------------------------------------- loop [80] 49.8% map-enodes [22] 50.2% [82] 402(0.4%) 202(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [86] 49.8% ---------------------------------------------------------------------- ??? [81] 100.0% [83] 85446(88.4%) 618(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 96.8% bf* [87] 2.0% ??? [88] 0.2% ...higher-order.rkt:373:33 [89] 0.2% ---------------------------------------------------------------------- ??? [81] 100.0% [84] 2308(2.4%) 2308(2.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- ??? [81] 30.2% loop [80] 69.8% [85] 668(0.7%) 202(0.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 36.2% ??? [88] 33.5% ---------------------------------------------------------------------- for-loop [82] 100.0% [86] 200(0.2%) 200(0.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- ??? [83] 100.0% [87] 1710(1.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ---------------------------------------------------------------------- ??? [83] 47.4% ->flonum [85] 52.6% [88] 426(0.4%) 426(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [83] 100.0% [89] 192(0.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ---------------------------------------------------------------------- loop [80] 1.0% bf* [87] 2.0% ??? [83] 97.0% [90] 85284(88.2%) 79064(81.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [92] 4.9% bftan [94] 1.5% ??? [93] 0.8% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89] 45.9% ??? [81] 54.1% [91] 418(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [92] 4196(4.3%) 3400(3.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 19.0% ---------------------------------------------------------------------- ->flonum [85] 17.7% ??? [91] 30.6% ??? [90] 51.7% [93] 1366(1.4%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [94] 1318(1.4%) 1098(1.1%) bftan ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 16.7% ---------------------------------------------------------------------- ??? [93] 100.0% [95] 1366(1.4%) 880(0.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 35.6% ---------------------------------------------------------------------- bftan [94] 21.7% bfmul [92] 78.3% [96] 1016(1.1%) 1016(1.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [95] 100.0% [97] 486(0.5%) 486(0.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------