Profiling results ----------------- Total cpu time observed: 12320ms (out of 12584ms) Number of samples taken: 54 (once every 228ms) ================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ================================================================== ??? [28] 100.0% [1] 12100(98.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ------------------------------------------------------------------ ??? [28] 100.0% [2] 8334(67.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 93.7% loop [34] 6.3% ------------------------------------------------------------------ ??? [28] 100.0% [3] 6428(52.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [7] 35.8% simplify-expr [8] 35.2% iterate-egraph!5 [12] 25.9% loop [10] 3.1% ------------------------------------------------------------------ f6 [70] 100.0% [4] 238(1.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [9] 100.0% ------------------------------------------------------------------ profile-thunk14 [1] 100.0% [5] 12100(98.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ------------------------------------------------------------------ run-improve58 [2] 100.0% [6] 7808(63.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 96.6% ??? [24] 3.4% ------------------------------------------------------------------ simplify [3] 100.0% [7] 2302(18.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 100.0% ------------------------------------------------------------------ simplify [3] 100.0% [8] 2264(18.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 100.0% ------------------------------------------------------------------ taylor-invert [4] 100.0% [9] 238(1.9%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [66] 100.0% ------------------------------------------------------------------ simplify [3] 100.0% [10] 200(1.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [13] 100.0% ------------------------------------------------------------------ for-loop [6] 100.0% [11] 7544(61.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 85.2% gen-series! [16] 6.1% finalize-iter! [17] 5.9% localize-error [19] 2.8% ------------------------------------------------------------------ simplify [3] 26.7% simplify-expr [8] 36.4% for-loop [7] 37.0% [12] 6228(50.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [15] 93.3% map-enodes [18] 6.7% ------------------------------------------------------------------ loop [10] 100.0% [13] 200(1.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [20] 100.0% ------------------------------------------------------------------ run-iter! [11] 100.0% [14] 6428(52.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [12] 100.0% [15] 5812(47.2%) 422(3.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [22] 61.0% loop [23] 28.3% filter [26] 3.4% ------------------------------------------------------------------ run-iter! [11] 100.0% [16] 460(3.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ------------------------------------------------------------------ run-iter! [11] 100.0% [17] 442(3.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ------------------------------------------------------------------ iterate-egraph!5 [12] 100.0% [18] 416(3.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [74] 100.0% ------------------------------------------------------------------ run-iter! [11] 100.0% [19] 214(1.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [63] 100.0% ------------------------------------------------------------------ pass [13] 100.0% [20] 200(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [27] 100.0% ------------------------------------------------------------------ simplify! [14] 100.0% [21] 6428(52.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% ------------------------------------------------------------------ for-loop [22] 50.0% one-iter [15] 50.0% [22] 3544(28.8%) 1084(8.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [22] 50.0% match-e [35] 34.7% ------------------------------------------------------------------ one-iter [15] 100.0% [23] 1646(13.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [29] 100.0% ------------------------------------------------------------------ for-loop [6] 37.4% finalize-iter! [17] 62.6% [24] 706(5.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 62.6% atab-completed? [32] 37.4% ------------------------------------------------------------------ gen-series! [16] 100.0% [25] 460(3.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ------------------------------------------------------------------ one-iter [15] 100.0% [26] 200(1.6%) 200(1.6%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------ for-loop [20] 100.0% [27] 200(1.6%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [33] 100.0% ------------------------------------------------------------------ for-loop [21] 17.7% run [5] 41.1% [28] 12100(98.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.1% run-improve58 [2] 25.6% simplify [3] 17.7% loop [34] 15.6% ------------------------------------------------------------------ loop [23] 100.0% [29] 1646(13.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [35] 37.8% merge-egraph-nodes! [36] 36.7% for-loop [39] 13.4% substitute-e [40] 12.2% ------------------------------------------------------------------ for-loop [25] 100.0% [30] 460(3.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ------------------------------------------------------------------ ??? [24] 100.0% [31] 442(3.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ------------------------------------------------------------------ ??? [24] 100.0% [32] 264(2.1%) 264(2.1%) atab-completed? ...bie/src/core/alt-table.rkt:69:0 ------------------------------------------------------------------ loop [27] 100.0% [33] 200(1.6%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [41] 100.0% ------------------------------------------------------------------ run-improve58 [2] 12.3% ??? [28] 87.7% [34] 4292(34.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 51.3% loop [42] 48.7% ------------------------------------------------------------------ for-loop [55] 7.1% apply-match [29] 16.6% for-loop [22] 76.3% [35] 3082(25.0%) 1020(8.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [43] 36.6% list-cartesian-product [47] 13.0% constant? [48] 7.2% loop [74] 6.5% for-loop [55] 3.6% ------------------------------------------------------------------ apply-match [29] 100.0% [36] 604(4.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [46] 66.9% enode-merge! [50] 33.1% ------------------------------------------------------------------ taylor-alt [30] 100.0% [37] 460(3.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ------------------------------------------------------------------ for-loop [31] 100.0% [38] 442(3.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45]100.0% ------------------------------------------------------------------ apply-match [29] 100.0% [39] 220(1.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [80] 100.0% ------------------------------------------------------------------ apply-match [29] 100.0% [40] 200(1.6%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [49] 100.0% ------------------------------------------------------------------ expression-cost [33] 100.0% [41] 200(1.6%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [63] 100.0% ------------------------------------------------------------------ loop [34] 100.0% [42] 2090(17.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [51] 50.3% loop [52] 49.7% ------------------------------------------------------------------ match-e [35] 100.0% [43] 1240(10.1%) 1240(10.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [55] 8.8% ------------------------------------------------------------------ location-do [44] 24.1% for-loop [37] 75.9% [44] 460(3.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [53] 75.9% location-do [44] 24.1% ------------------------------------------------------------------ atab-add-altn [38] 100.0% [45] 442(3.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [54] 100.0% ------------------------------------------------------------------ merge-egraph-nodes! [36] 100.0% [46] 404(3.3%) 202(1.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [56] 50.0% ------------------------------------------------------------------ list-cartesian-product [47] 50.0% match-e [35] 50.0% [47] 400(3.2%) 400(3.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [47] 50.0% ------------------------------------------------------------------ match-e [35] 100.0% [48] 222(1.8%) 222(1.8%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------ substitute-e [40] 100.0% [49] 200(1.6%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [57] 100.0% ------------------------------------------------------------------ merge-egraph-nodes! [36] 100.0% [50] 200(1.6%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [58] 100.0% ------------------------------------------------------------------ loop [42] 32.3% loop [34] 67.7% [51] 3254(26.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [73] 49.5% loop [74] 34.8% eval-prog [59] 15.6% ------------------------------------------------------------------ loop [42] 100.0% [52] 1038(8.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [73] 100.0% ------------------------------------------------------------------ location-do [44] 100.0% [53] 460(3.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [70] 51.7% loop [61] 48.3% ------------------------------------------------------------------ best-and-tied-at-points [45]100.0% [54] 442(3.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [60] 100.0% ------------------------------------------------------------------ for-loop [43] 49.5% match-e [35] 50.5% [55] 440(3.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 100.0% ------------------------------------------------------------------ update-leader! [46] 100.0% [56] 202(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [62] 100.0% ------------------------------------------------------------------ mk-enode! [49] 100.0% [57] 200(1.6%) 200(1.6%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 ------------------------------------------------------------------ enode-merge! [50] 100.0% [58] 200(1.6%) 200(1.6%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ------------------------------------------------------------------ make-exacts* [51] 100.0% [59] 508(4.1%) 236(1.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [63] 53.5% ------------------------------------------------------------------ errors [54] 100.0% [60] 442(3.6%) 240(1.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [77] 45.7% ------------------------------------------------------------------ approximate9 [53] 100.0% [61] 222(1.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [63] 100.0% ------------------------------------------------------------------ for-loop [56] 100.0% [62] 202(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [64] 100.0% ------------------------------------------------------------------ compile [41] 7.3% ??? [68] 12.2% loop [61] 12.2% ??? [65] 14.7% loop [74] 15.0% eval-prog [59] 15.0% localize-error [19] 23.6% [63] 908(7.4%) 200(1.6%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [65] 29.7% f6 [70] 23.6% bigfloat-hash [67] 15.0% ??? [68] 12.2% simplify [66] 12.2% ------------------------------------------------------------------ for-loop [62] 100.0% [64] 202(1.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [69] 100.0% ------------------------------------------------------------------ hash-ref! [63] 100.0% [65] 472(3.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [74] 57.6% hash-ref! [63] 42.4% ------------------------------------------------------------------ hash-ref! [63] 48.3% first-nonzero-exp [9] 51.7% [66] 460(3.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [70] 100.0% ------------------------------------------------------------------ hash-ref! [63] 100.0% [67] 272(2.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [71] 100.0% ------------------------------------------------------------------ hash-ref! [63] 100.0% [68] 222(1.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [63] 100.0% ------------------------------------------------------------------ hash-update! [64] 100.0% [69] 202(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [72] 100.0% ------------------------------------------------------------------ approximate9 [53] 7.1% f6 [70] 14.1% simplify [66] 15.3% hash-ref! [63] 31.8% map [73] 31.8% [70] 674(5.5%) 238(1.9%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [73] 71.8% f6 [70] 14.1% taylor-invert [4] 7.1% ------------------------------------------------------------------ bigfloat-hash [67] 100.0% [71] 272(2.2%) 272(2.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------ ??? [69] 100.0% [72] 202(1.6%) 202(1.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------ f6 [70] 20.3% loop [52] 31.2% make-exacts* [51] 48.5% [73] 3324(27.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [74] 79.7% f6 [70] 12.2% loop [76] 6.4% simplify-node [75] 1.7% ------------------------------------------------------------------ make-exacts* [51] 0.1% loop! [80] 2.2% map [73] 3.8% match-e [35] 4.1% map-enodes [18] 5.5% ??? [65] 5.6% loop [74] 78.7% [74] 4892(39.7%) 200(1.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [74] 78.7% hash-ref! [63] 5.6% for-loop [78] 5.5% ??? [77] 3.9% loop! [80] 2.2% ->flonum [85] 0.0% ------------------------------------------------------------------ map [73] 100.0% [75] 222(1.8%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 gather-additive-terms6 [79] 100.0% ------------------------------------------------------------------ map [73] 2.0% loop [76] 98.0% [76] 214(1.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [76] 98.0% ??? [81] 2.0% ------------------------------------------------------------------ for-loop [60] 5.4% loop [74] 94.6% [77] 3710(30.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 57.5% real->bigfloat [83] 28.5% ??? [84] 14.0% ------------------------------------------------------------------ loop [74] 100.0% [78] 416(3.4%) 220(1.8%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [87] 47.1% ------------------------------------------------------------------ simplify-node [75] 100.0% [79] 222(1.8%) 222(1.8%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 ------------------------------------------------------------------ loop [74] 50.0% for-loop [39] 50.0% [80] 220(1.8%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [74] 50.0% update-en-expr [86] 50.0% ------------------------------------------------------------------ loop [76] 100.0% [81] 214(1.7%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [85] 100.0% ------------------------------------------------------------------ ??? [77] 100.0% [82] 2132(17.3%) 202(1.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 90.5% ------------------------------------------------------------------ ??? [77] 100.0% [83] 1058(8.6%) 858(7.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 18.9% ------------------------------------------------------------------ ??? [77] 100.0% [84] 520(4.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% ------------------------------------------------------------------ ??? [81] 43.7% loop [74] 56.3% [85] 490(4.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [90] 56.3% ??? [89] 43.7% ------------------------------------------------------------------ loop! [80] 100.0% [86] 220(1.8%) 220(1.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------ for-loop [78] 100.0% [87] 196(1.6%) 196(1.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------ ??? [82] 100.0% [88] 1930(15.7%) 260(2.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [91] 45.2% bfsqr [92] 41.3% ------------------------------------------------------------------ ->flonum [85] 29.2% ??? [84] 70.8% [89] 734(6.0%) 520(4.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [93] 29.2% ------------------------------------------------------------------ ->flonum [85] 100.0% [90] 276(2.2%) 276(2.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------ ??? [88] 100.0% [91] 872(7.1%) 572(4.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 34.4% ------------------------------------------------------------------ ??? [88] 100.0% [92] 798(6.5%) 536(4.4%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 32.8% ------------------------------------------------------------------ ??? [89] 100.0% [93] 214(1.7%) 214(1.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------ real->bigfloat [83] 26.2% bfsqr [92] 34.4% bfadd [91] 39.4% [94] 762(6.2%) 762(6.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------