Profiling results ----------------- Total cpu time observed: 18804ms (out of 19080ms) Number of samples taken: 80 (once every 235ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [37] 100.0% [1] 18144(96.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------- ??? [37] 100.0% [2] 7888(41.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 86.1% finalize-table! [12] 8.5% loop [44] 5.4% --------------------------------------------------------------------- ??? [37] 100.0% [3] 5486(29.2%) 224(1.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 42.0% for-loop [10] 27.3% iterate-egraph!5 [17] 26.6% --------------------------------------------------------------------- hash-ref! [74] 100.0% [4] 1154(6.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [69] 82.8% hash-ref! [74] 17.2% --------------------------------------------------------------------- match-e [45] 100.0% [5] 838(4.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [11] 86.8% list-cartesian-product [14] 13.2% --------------------------------------------------------------------- location-do [53] 100.0% [6] 430(2.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [13] 51.2% taylor-sqrt [15] 48.8% --------------------------------------------------------------------- profile-thunk14 [1] 98.8% [7] 18366(97.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 6790(36.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% --------------------------------------------------------------------- completely-simplify-alt [75] 16.6% simplify [3] 83.4% [9] 2764(14.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 92.8% loop [20] 7.2% --------------------------------------------------------------------- simplify [3] 100.0% [10] 1500(8.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% --------------------------------------------------------------------- for-loop [5] 100.0% [11] 838(4.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 670(3.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% --------------------------------------------------------------------- approximate9 [6] 17.0% f6 [13] 34.0% hash-ref! [74] 49.1% [13] 432(2.3%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [65] 66.0% f6 [13] 34.0% --------------------------------------------------------------------- for-loop [5] 100.0% [14] 222(1.2%) 222(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 --------------------------------------------------------------------- approximate9 [6] 100.0% [15] 210(1.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [19] 100.0% --------------------------------------------------------------------- for-loop [8] 100.0% [16] 6790(36.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 80.8% finalize-iter! [23] 12.8% gen-series! [24] 3.2% localize-error [26] 3.1% --------------------------------------------------------------------- simplify [3] 26.4% for-loop [10] 27.2% simplify-expr [9] 46.5% [17] 5524(29.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 92.4% map-enodes [25] 4.0% *simplify-rules* [28] 3.7% --------------------------------------------------------------------- finalize-table! [12] 100.0% [18] 670(3.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [69] 68.7% for-loop [27] 31.3% --------------------------------------------------------------------- taylor-sqrt [15] 100.0% [19] 210(1.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [74] 100.0% --------------------------------------------------------------------- simplify-expr [9] 100.0% [20] 198(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [29] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [21] 5486(29.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [30] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [22] 5102(27.1%) 202(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [31] 71.3% loop [33] 20.4% apply-match [38] 4.3% --------------------------------------------------------------------- run-iter! [16] 100.0% [23] 872(4.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [24] 220(1.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [25] 220(1.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [69] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [26] 212(1.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [74] 100.0% --------------------------------------------------------------------- post-process [18] 100.0% [27] 210(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [35] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [28] 202(1.1%) 202(1.1%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 --------------------------------------------------------------------- loop [20] 100.0% [29] 198(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [36] 100.0% --------------------------------------------------------------------- simplify! [21] 100.0% [30] 5486(29.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% --------------------------------------------------------------------- for-loop [31] 50.0% one-iter [22] 50.0% [31] 3638(19.3%) 884(4.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [31] 50.0% match-e [45] 35.1% ??? [42] 2.7% --------------------------------------------------------------------- debug7 [89] 19.4% finalize-iter! [23] 80.6% [32] 1082(5.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [39] 80.6% assoc-has-key? [41] 19.4% --------------------------------------------------------------------- one-iter [22] 100.0% [33] 1042(5.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% --------------------------------------------------------------------- gen-series! [24] 100.0% [34] 220(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [40] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [35] 210(1.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [40] 100.0% --------------------------------------------------------------------- pass [29] 100.0% [36] 198(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [43] 100.0% --------------------------------------------------------------------- for-loop [30] 10.0% run [7] 45.3% [37] 18566(98.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.1% loop [44] 29.4% run-improve58 [2] 16.5% simplify [3] 10.0% --------------------------------------------------------------------- one-iter [22] 17.4% loop [33] 82.6% [38] 1262(6.7%) 200(1.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [45] 33.4% substitute-e [48] 33.3% loop! [49] 17.4% --------------------------------------------------------------------- ??? [32] 100.0% [39] 872(4.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [46] 100.0% --------------------------------------------------------------------- append-map [35] 48.8% for-loop [34] 51.2% [40] 430(2.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [47] 100.0% --------------------------------------------------------------------- ??? [32] 100.0% [41] 210(1.1%) 210(1.1%) assoc-has-key? ...ts/racket/private/dict.rkt:236:0 --------------------------------------------------------------------- for-loop [31] 100.0% [42] 200(1.1%) 200(1.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 --------------------------------------------------------------------- for-loop [36] 100.0% [43] 198(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [50] 100.0% --------------------------------------------------------------------- run-improve58 [2] 3.9% ??? [37] 96.1% [44] 11106(59.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [51] 44.7% make-exacts* [59] 31.6% loop [60] 21.7% for-loop [54] 2.0% --------------------------------------------------------------------- apply-match [38] 7.1% for-loop [11] 14.1% for-loop [31] 78.8% [45] 2976(15.8%) 2332(12.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [5] 17.8% constant? [56] 6.7% loop [69] 3.7% --------------------------------------------------------------------- for-loop [39] 100.0% [46] 872(4.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [52] 100.0% --------------------------------------------------------------------- taylor-alt [40] 100.0% [47] 430(2.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% --------------------------------------------------------------------- substitute-e [48] 23.8% apply-match [38] 76.2% [48] 420(2.2%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [55] 52.4% substitute-e [48] 23.8% variable? [57] 23.8% --------------------------------------------------------------------- apply-match [38] 100.0% [49] 220(1.2%) 220(1.2%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 --------------------------------------------------------------------- argmin [43] 100.0% [50] 198(1.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [58] 100.0% --------------------------------------------------------------------- loop [44] 100.0% [51] 4962(26.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [60] 38.9% make-exacts* [59] 37.2% eval-prog [66] 23.9% --------------------------------------------------------------------- atab-add-altn [46] 100.0% [52] 872(4.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 51.6% loop [63] 25.2% for-loop [64] 23.2% --------------------------------------------------------------------- for-loop [47] 18.4% location-do [53] 81.6% [53] 430(2.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [53] 81.6% approximate9 [6] 18.4% --------------------------------------------------------------------- loop [44] 100.0% [54] 222(1.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [62] 100.0% --------------------------------------------------------------------- substitute-e [48] 100.0% [55] 220(1.2%) 220(1.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- match-e [45] 100.0% [56] 200(1.1%) 200(1.1%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- substitute-e [48] 100.0% [57] 200(1.1%) 200(1.1%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 --------------------------------------------------------------------- expression-cost [50] 100.0% [58] 198(1.1%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [74] 100.0% --------------------------------------------------------------------- loop [51] 34.5% loop [44] 65.5% [59] 5360(28.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [65] 49.3% loop [69] 46.3% eval-prog [66] 4.4% --------------------------------------------------------------------- loop [51] 44.4% loop [44] 55.6% [60] 4338(23.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [52] 100.0% [61] 450(2.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [67] 51.1% eval-prog [66] 48.9% --------------------------------------------------------------------- for-loop [54] 100.0% [62] 222(1.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [68] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [52] 100.0% [63] 220(1.2%) 220(1.2%) loop ...ket/collects/racket/private/list.rkt:264:4 --------------------------------------------------------------------- best-and-tied-at-points [52] 100.0% [64] 202(1.1%) 202(1.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- f6 [13] 5.8% make-exacts* [59] 35.7% loop [60] 58.5% [65] 7414(39.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 94.2% taylor [71] 3.0% ??? [72] 2.9% --------------------------------------------------------------------- errors [61] 13.4% make-exacts* [59] 14.3% loop [51] 72.3% [66] 1640(8.7%) 220(1.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [74] 86.6% --------------------------------------------------------------------- errors [61] 100.0% [67] 230(1.2%) 230(1.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 --------------------------------------------------------------------- for-loop [62] 100.0% [68] 222(1.2%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [70] 100.0% --------------------------------------------------------------------- make-exacts* [59] 0.2% parse-loop12 [83] 0.8% map [65] 1.7% map-enodes [25] 1.9% match-e [45] 1.9% post-process [18] 2.1% ??? [4] 8.3% loop [69] 83.0% [69] 11534(61.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 83.0% hash-ref! [74] 8.3% completely-simplify-alt [75] 2.1% loop [77] 1.9% ??? [73] 1.9% for-loop [78] 1.9% ??? [72] 0.5% ??? [90] 0.3% ->flonum [76] 0.0% --------------------------------------------------------------------- sample-double [68] 100.0% [70] 222(1.2%) 222(1.2%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 --------------------------------------------------------------------- map [65] 100.0% [71] 220(1.2%) 220(1.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 --------------------------------------------------------------------- loop [69] 50.0% map [65] 50.0% [72] 212(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [74] 100.0% --------------------------------------------------------------------- loop [69] 100.0% [73] 9232(49.1%) 708(3.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 75.5% real->bigfloat [80] 16.8% --------------------------------------------------------------------- localize-error [26] 2.1% compile [58] 3.2% ??? [4] 6.5% ??? [72] 8.3% first-nonzero-exp [19] 10.3% eval-prog [66] 31.8% loop [69] 37.8% [74] 2040(10.8%) 198(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 44.3% bigfloat-hash [81] 31.8% simplify [84] 10.3% parse-loop12 [83] 6.2% f6 [13] 4.2% --------------------------------------------------------------------- loop [69] 100.0% [75] 460(2.4%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [9] 100.0% --------------------------------------------------------------------- loop [69] 100.0% [76] 232(1.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [82] 100.0% --------------------------------------------------------------------- loop [69] 100.0% [77] 222(1.2%) 222(1.2%) loop ...e/racket/collects/racket/function.rkt:53:6 --------------------------------------------------------------------- loop [69] 100.0% [78] 220(1.2%) 220(1.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 --------------------------------------------------------------------- ??? [73] 100.0% [79] 6972(37.1%) 416(2.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 67.6% ...higher-order.rkt:373:33 [85] 23.4% bf* [88] 3.1% --------------------------------------------------------------------- ??? [73] 100.0% [80] 1552(8.3%) 1552(8.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 --------------------------------------------------------------------- hash-ref! [74] 100.0% [81] 1420(7.6%) 244(1.3%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [86] 47.7% bfcanonicalize [87] 35.1% --------------------------------------------------------------------- ->flonum [76] 100.0% [82] 232(1.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [96] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [83] 212(1.1%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [69] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [84] 210(1.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [89] 100.0% --------------------------------------------------------------------- ??? [79] 100.0% [85] 1628(8.7%) 212(1.1%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 58.2% ??? [91] 28.7% --------------------------------------------------------------------- bigfloat-hash [81] 100.0% [86] 678(3.6%) 678(3.6%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- bigfloat-hash [81] 100.0% [87] 498(2.6%) 498(2.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- ??? [79] 100.0% [88] 216(1.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% --------------------------------------------------------------------- simplify [84] 100.0% [89] 210(1.1%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [32] 100.0% --------------------------------------------------------------------- loop [69] 4.1% bf* [88] 4.2% ??? [79] 91.7% [90] 5140(27.3%) 1136(6.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [92] 27.7% bfatan [93] 26.5% ??? [95] 23.7% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [85]100.0% [91] 468(2.5%) 220(1.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 53.0% --------------------------------------------------------------------- ??? [90] 100.0% [92] 1422(7.6%) 488(2.6%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 65.7% --------------------------------------------------------------------- ??? [90] 100.0% [93] 1362(7.2%) 972(5.2%) bfatan ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 28.6% --------------------------------------------------------------------- ??? [91] 20.7% ...higher-order.rkt:373:33 [85] 79.3% [94] 1196(6.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% --------------------------------------------------------------------- ??? [94] 49.5% ??? [90] 50.5% [95] 2416(12.8%) 1172(6.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 51.5% --------------------------------------------------------------------- ??? [82] 14.9% bfatan [93] 25.1% bfsub [92] 60.0% [96] 1556(8.3%) 1556(8.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [95] 100.0% [97] 1244(6.6%) 464(2.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 62.7% --------------------------------------------------------------------- ??? [97] 100.0% [98] 780(4.1%) 780(4.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------