Profiling results ----------------- Total cpu time observed: 21246ms (out of 22844ms) Number of samples taken: 89 (once every 239ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [8] 100.0% [1] 20594(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- f16 [53] 100.0% [2] 640(3.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [6] 68.8% simplify [9] 31.2% ---------------------------------------------------------------------- loop [35] 100.0% [3] 220(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [60] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [4] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [7] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 20594(96.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [8] 100.0% ---------------------------------------------------------------------- taylor-invert [2] 100.0% [6] 440(2.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [9] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [7] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [10] 100.0% ---------------------------------------------------------------------- for-loop [30] 2.0% run [5] 48.0% [8] 21034(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.0% loop [13] 38.0% run-improve58 [11] 12.1% simplify [12] 2.0% ---------------------------------------------------------------------- hash-ref! [60] 23.8% taylor-invert [2] 23.8% first-nonzero-exp [6] 52.4% [9] 840(4.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [53] 73.8% debug7 [54] 26.2% ---------------------------------------------------------------------- for-loop [7] 100.0% [10] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [60] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [11] 5062(23.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [14] 53.9% for-loop [15] 36.7% setup-prog [16] 4.7% loop [13] 4.7% ---------------------------------------------------------------------- ??? [8] 100.0% [12] 1236(5.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [45] 83.7% for-loop [17] 16.3% ---------------------------------------------------------------------- run-improve58 [11] 1.5% ??? [8] 98.5% [13] 16208(76.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [18] 48.0% make-exacts* [22] 39.5% loop [23] 11.3% for-loop [21] 1.2% ---------------------------------------------------------------------- run-improve58 [11] 100.0% [14] 2728(12.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [19] 100.0% ---------------------------------------------------------------------- run-improve58 [11] 100.0% [15] 1860(8.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% ---------------------------------------------------------------------- run-improve58 [11] 100.0% [16] 238(1.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 ??? [31] 100.0% ---------------------------------------------------------------------- simplify [12] 100.0% [17] 202(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [48] 100.0% ---------------------------------------------------------------------- loop [13] 100.0% [18] 7774(36.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [23] 61.2% make-exacts* [22] 38.8% ---------------------------------------------------------------------- finalize-table! [14] 100.0% [19] 2728(12.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [35] 54.5% for-loop [25] 22.7% ??? [31] 15.4% completely-simplify-alt [41] 7.4% ---------------------------------------------------------------------- for-loop [15] 100.0% [20] 1860(8.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [24] 66.5% finalize-iter! [26] 21.7% gen-series! [27] 11.8% ---------------------------------------------------------------------- loop [13] 100.0% [21] 202(1.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [28] 100.0% ---------------------------------------------------------------------- loop [18] 32.0% loop [13] 68.0% [22] 9424(44.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [29] 53.7% loop [35] 46.3% ---------------------------------------------------------------------- loop [13] 27.7% loop [18] 72.3% [23] 6582(31.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [29] 100.0% ---------------------------------------------------------------------- run-iter! [20] 100.0% [24] 1236(5.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [30] 100.0% ---------------------------------------------------------------------- post-process [19] 100.0% [25] 620(2.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [32] 100.0% ---------------------------------------------------------------------- run-iter! [20] 100.0% [26] 404(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [31] 100.0% ---------------------------------------------------------------------- run-iter! [20] 100.0% [27] 220(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [33] 100.0% ---------------------------------------------------------------------- for-loop [21] 100.0% [28] 202(1.0%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [34] 100.0% ---------------------------------------------------------------------- ??? [44] 1.7% f16 [53] 6.6% make-exacts* [22] 39.8% loop [23] 51.8% [29] 12702(59.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [35] 91.7% ??? [44] 2.6% ->flonum [59] 1.7% f16 [53] 1.6% parse-loop12 [71] 1.6% simplify* [39] 0.9% ---------------------------------------------------------------------- simplify! [24] 100.0% [30] 1236(5.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [8] 100.0% ---------------------------------------------------------------------- setup-prog [16] 22.4% finalize-iter! [26] 38.0% post-process [19] 39.5% [31] 1062(5.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [37] 77.6% make-alt-table [38] 22.4% ---------------------------------------------------------------------- for-loop [25] 100.0% [32] 620(2.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 loop [35] 67.7% taylor-alt [36] 32.3% ---------------------------------------------------------------------- gen-series! [27] 100.0% [33] 220(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ---------------------------------------------------------------------- for-loop [28] 100.0% [34] 202(1.0%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [40] 100.0% ---------------------------------------------------------------------- ??? [57] 0.0% parse-loop12 [71] 0.1% post-process [19] 0.6% make-exacts* [22] 1.6% map [29] 2.2% append-map [32] 2.3% loop [35] 93.0% [35] 17912(84.3%) 218(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [35] 93.0% ??? [57] 3.8% taylor-alt [36] 2.3% completely-simplify-alt [41] 0.5% ??? [44] 0.1% localize-error [3] 0.1% real->bigfloat [67] 0.0% ->flonum [59] 0.0% ---------------------------------------------------------------------- append-map [32] 23.8% for-loop [33] 26.2% loop [35] 50.0% [36] 840(4.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% ---------------------------------------------------------------------- ??? [31] 100.0% [37] 824(3.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% ---------------------------------------------------------------------- ??? [31] 100.0% [38] 238(1.1%) 0(0.0%) make-alt-table ...rbie/src/core/alt-table.rkt:32:0 errors [49] 100.0% ---------------------------------------------------------------------- map [29] 100.0% [39] 220(1.0%) 220(1.0%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 ---------------------------------------------------------------------- sample-double [34] 100.0% [40] 202(1.0%) 202(1.0%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ---------------------------------------------------------------------- post-process [19] 13.8% loop [35] 86.2% [41] 1468(6.9%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [45] 100.0% ---------------------------------------------------------------------- taylor-alt [36] 100.0% [42] 840(4.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% ---------------------------------------------------------------------- for-loop [37] 100.0% [43] 824(3.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% ---------------------------------------------------------------------- loop [35] 33.3% map [29] 66.7% [44] 660(3.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f16 [53] 66.7% hash-ref! [60] 16.7% map [29] 16.7% ---------------------------------------------------------------------- simplify [12] 41.3% completely-simplify-alt [41] 58.7% [45] 2502(11.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [48] 100.0% ---------------------------------------------------------------------- location-do [46] 15.9% for-loop [42] 84.1% [46] 840(4.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [50] 84.1% location-do [46] 15.9% ---------------------------------------------------------------------- atab-add-altn [43] 100.0% [47] 824(3.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [49] 100.0% ---------------------------------------------------------------------- for-loop [17] 7.5% simplify-expr [45] 92.5% [48] 2704(12.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [51] 84.8% debug7 [54] 7.8% map-enodes [55] 7.4% ---------------------------------------------------------------------- make-alt-table [38] 22.4% best-and-tied-at-points [47] 77.6% [49] 1062(5.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [52] 100.0% ---------------------------------------------------------------------- location-do [46] 100.0% [50] 840(4.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f16 [53] 76.2% loop [56] 23.8% ---------------------------------------------------------------------- iterate-egraph!5 [48] 100.0% [51] 2294(10.8%) 220(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [58] 81.6% loop [64] 8.8% ---------------------------------------------------------------------- errors [49] 100.0% [52] 1062(5.0%) 200(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [57] 22.4% ->flonum [59] 20.7% ulp-difference [63] 19.0% ??? [62] 19.0% ---------------------------------------------------------------------- f16 [53] 7.9% map [29] 7.9% ??? [44] 21.8% approximate9 [50] 25.8% simplify [9] 36.5% [53] 840(4.0%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [29] 62.3% taylor-invert [2] 25.8% f16 [53] 7.9% gather-multiplicative-terms [65] 4.0% ---------------------------------------------------------------------- iterate-egraph!5 [48] 48.8% simplify [9] 51.2% [54] 430(2.0%) 220(1.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [61] 48.8% ---------------------------------------------------------------------- iterate-egraph!5 [48] 100.0% [55] 200(0.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [66] 100.0% ---------------------------------------------------------------------- approximate9 [50] 100.0% [56] 200(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [60] 100.0% ---------------------------------------------------------------------- for-loop [52] 1.5% loop [35] 98.5% [57] 15808(74.4%) 1200(5.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [67] 40.4% ??? [68] 36.5% ??? [88] 8.6% loop [35] 6.9% ---------------------------------------------------------------------- for-loop [58] 50.0% one-iter [51] 50.0% [58] 1872(8.8%) 404(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [58] 50.0% match-e [69] 32.8% ??? [72] 6.4% ---------------------------------------------------------------------- loop [35] 33.1% map [29] 33.4% for-loop [52] 33.4% [59] 658(3.1%) 220(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [70] 33.4% ??? [73] 33.1% ---------------------------------------------------------------------- ??? [10] 9.5% ??? [76] 9.5% loop [56] 9.5% ??? [77] 19.0% ??? [44] 26.2% localize-error [3] 26.2% [60] 420(2.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [71] 52.4% ??? [77] 19.0% ??? [76] 9.5% ??? [4] 9.5% simplify [9] 9.5% ---------------------------------------------------------------------- debug7 [54] 100.0% [61] 210(1.0%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [74] 100.0% ---------------------------------------------------------------------- for-loop [52] 100.0% [62] 202(1.0%) 202(1.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 ---------------------------------------------------------------------- for-loop [52] 100.0% [63] 202(1.0%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [70] 100.0% ---------------------------------------------------------------------- one-iter [51] 100.0% [64] 202(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [75] 100.0% ---------------------------------------------------------------------- f16 [53] 100.0% [65] 200(0.9%) 200(0.9%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ---------------------------------------------------------------------- map-enodes [55] 100.0% [66] 200(0.9%) 200(0.9%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 ---------------------------------------------------------------------- loop [35] 14.6% ??? [57] 85.4% [67] 7480(35.2%) 5242(24.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [89] 29.9% ---------------------------------------------------------------------- ??? [57] 100.0% [68] 5766(27.1%) 238(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [84] 68.8% bf* [78] 14.6% ...higher-order.rkt:373:33 [79] 12.4% ---------------------------------------------------------------------- for-loop [58] 100.0% [69] 1228(5.8%) 604(2.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [80] 34.4% constant? [83] 16.4% ---------------------------------------------------------------------- ulp-difference [63] 47.9% ->flonum [59] 52.1% [70] 422(2.0%) 422(2.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- map [29] 47.6% hash-ref! [60] 52.4% [71] 420(2.0%) 200(0.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [35] 52.4% ---------------------------------------------------------------------- for-loop [58] 100.0% [72] 240(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [81] 100.0% ---------------------------------------------------------------------- ->flonum [59] 100.0% [73] 218(1.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [61] 100.0% [74] 210(1.0%) 210(1.0%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ---------------------------------------------------------------------- loop [64] 100.0% [75] 202(1.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 mk-enode! [82] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [76] 200(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [60] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [77] 200(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [60] 100.0% ---------------------------------------------------------------------- ??? [68] 100.0% [78] 844(4.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [84] 100.0% ---------------------------------------------------------------------- ??? [68] 100.0% [79] 716(3.4%) 274(1.3%) ...higher-order.rkt:373:33 (unknown source) ??? [85] 34.6% ??? [88] 27.1% ---------------------------------------------------------------------- match-e [69] 100.0% [80] 422(2.0%) 422(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- ??? [72] 100.0% [81] 240(1.1%) 240(1.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- apply-match [75] 100.0% [82] 202(1.0%) 202(1.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- match-e [69] 100.0% [83] 202(1.0%) 202(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- bf* [78] 17.5% ??? [68] 82.5% [84] 4812(22.6%) 686(3.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [86] 46.5% bfsqrt [87] 39.3% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [79] 100.0% [85] 248(1.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [88] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [86] 2236(10.5%) 2040(9.6%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 8.8% ---------------------------------------------------------------------- ??? [84] 100.0% [87] 1890(8.9%) 1094(5.1%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [89] 42.1% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [79] 10.8% ??? [85] 13.7% ??? [57] 75.5% [88] 1804(8.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [90] 100.0% ---------------------------------------------------------------------- bfsub [86] 5.7% ??? [73] 6.3% bfsqrt [87] 23.1% real->bigfloat [67] 64.9% [89] 3448(16.2%) 3448(16.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [88] 100.0% [90] 1804(8.5%) 1364(6.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 24.4% ---------------------------------------------------------------------- ??? [90] 100.0% [91] 440(2.1%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [92] 100.0% ---------------------------------------------------------------------- ??? [91] 100.0% [92] 440(2.1%) 440(2.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------