Profiling results ----------------- Total cpu time observed: 19928ms (out of 19808ms) Number of samples taken: 80 (once every 249ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 98 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [20] 100.0% [1] 18854(94.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [20] 100.0% [2] 10726(53.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 89.6% get-final-combination [6] 8.2% setup-prog [7] 2.2% ---------------------------------------------------------------------- loop [68] 100.0% [3] 224(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [57] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 98.9% [4] 19066(95.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [20] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 9606(48.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [8] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 884(4.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 236(1.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [10] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [8] 9606(48.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [12] 95.6% localize-error [13] 2.3% gen-series! [14] 2.1% ---------------------------------------------------------------------- get-final-combination [6] 100.0% [9] 884(4.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [68] 100.0% ---------------------------------------------------------------------- setup-prog [7] 100.0% [10] 236(1.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [11] 100.0% ---------------------------------------------------------------------- simplify-alt [10] 2.3% loop [68] 8.6% ??? [20] 89.1% [11] 10300(51.7%) 262(1.3%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [16] 72.9% for-loop [17] 12.3% iterate-egraph!5 [21] 8.0% mk-egraph [18] 2.3% loop [22] 2.0% ---------------------------------------------------------------------- run-iter! [8] 100.0% [12] 9180(46.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [15] 100.0% ---------------------------------------------------------------------- run-iter! [8] 100.0% [13] 224(1.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [57] 100.0% ---------------------------------------------------------------------- run-iter! [8] 100.0% [14] 202(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [19] 100.0% ---------------------------------------------------------------------- simplify! [12] 100.0% [15] 9180(46.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [20] 100.0% ---------------------------------------------------------------------- simplify [11] 100.0% [16] 7508(37.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [21] 96.5% loop [22] 3.5% ---------------------------------------------------------------------- simplify [11] 100.0% [17] 1266(6.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [21] 100.0% ---------------------------------------------------------------------- simplify [11] 100.0% [18] 236(1.2%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [23] 100.0% ---------------------------------------------------------------------- gen-series! [14] 100.0% [19] 202(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [24] 100.0% ---------------------------------------------------------------------- for-loop [15] 15.9% run [4] 41.2% [20] 19928(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.2% loop [25] 23.6% run-improve58 [2] 20.3% simplify [11] 15.9% ---------------------------------------------------------------------- simplify [11] 8.8% for-loop [17] 13.6% simplify-expr [16] 77.6% [21] 9340(46.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 97.9% map-enodes [29] 2.1% ---------------------------------------------------------------------- simplify [11] 43.7% simplify-expr [16] 56.3% [22] 462(2.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [27] 100.0% ---------------------------------------------------------------------- expr->enode [23] 50.0% mk-egraph [18] 50.0% [23] 236(1.2%) 236(1.2%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [23] 50.0% ---------------------------------------------------------------------- for-loop [19] 100.0% [24] 202(1.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [28] 100.0% ---------------------------------------------------------------------- ??? [20] 100.0% [25] 9202(46.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [36] 62.4% loop [32] 35.3% filter-points [34] 2.3% ---------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [26] 9140(45.9%) 224(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [30] 47.5% for-loop [31] 43.2% apply-match [37] 6.8% ---------------------------------------------------------------------- loop [22] 100.0% [27] 462(2.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [33] 100.0% ---------------------------------------------------------------------- taylor-alt [24] 100.0% [28] 202(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [35] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [29] 200(1.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [68] 100.0% ---------------------------------------------------------------------- one-iter [26] 100.0% [30] 4342(21.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [37] 100.0% ---------------------------------------------------------------------- for-loop [31] 47.2% one-iter [26] 52.8% [31] 3952(19.8%) 860(4.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [31] 47.2% match-e [44] 39.1% ---------------------------------------------------------------------- loop [25] 100.0% [32] 3244(16.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [38] 76.6% make-exacts* [36] 23.4% ---------------------------------------------------------------------- pass [27] 100.0% [33] 462(2.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [39] 56.3% for-loop [41] 43.7% ---------------------------------------------------------------------- loop [25] 100.0% [34] 212(1.1%) 0(0.0%) filter-points ...tlock/herbie/src/points.rkt:101:0 for-loop [40] 100.0% ---------------------------------------------------------------------- for-loop [28] 100.0% [35] 202(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [42] 100.0% ---------------------------------------------------------------------- loop [32] 11.7% loop [25] 88.3% [36] 6504(32.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [43] 65.2% loop [68] 34.8% ---------------------------------------------------------------------- one-iter [26] 12.5% loop [30] 87.5% [37] 4964(24.9%) 222(1.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [45] 35.1% merge-egraph-nodes! [48] 29.5% loop! [71] 13.6% match-e [44] 12.5% mk-enode! [54] 4.8% ---------------------------------------------------------------------- loop [32] 100.0% [38] 2486(12.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [43] 100.0% ---------------------------------------------------------------------- for-loop [33] 100.0% [39] 260(1.3%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [46] 100.0% ---------------------------------------------------------------------- filter-points [34] 100.0% [40] 212(1.1%) 212(1.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:104:4 ---------------------------------------------------------------------- for-loop [33] 100.0% [41] 202(1.0%) 202(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- location-do [35] 100.0% [42] 202(1.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [51] 100.0% ---------------------------------------------------------------------- f94 [51] 2.9% loop [38] 35.9% make-exacts* [36] 61.2% [43] 6930(34.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [68] 97.1% f94 [51] 1.5% ---------------------------------------------------------------------- for-loop [56] 11.6% apply-match [37] 13.8% for-loop [31] 74.7% [44] 3712(18.6%) 842(4.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 71.1% list-cartesian-product [55] 6.4% for-loop [56] 2.7% constant? [52] 2.7% ---------------------------------------------------------------------- apply-match [37] 100.0% [45] 1744(8.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [71] 38.0% substitute-e [49] 36.8% mk-enode! [54] 13.8% merge-egraph-nodes! [48] 11.5% ---------------------------------------------------------------------- loop [39] 100.0% [46] 260(1.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [50] 100.0% ---------------------------------------------------------------------- match-e [44] 100.0% [47] 2850(14.3%) 1144(5.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [55] 22.0% for-loop [56] 18.9% loop [68] 14.8% filter [58] 4.2% ---------------------------------------------------------------------- for-loop [45] 12.0% apply-match [37] 88.0% [48] 1662(8.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [53] 75.9% loop! [71] 12.0% for-loop [59] 12.0% ---------------------------------------------------------------------- substitute-e [49] 17.1% for-loop [45] 82.9% [49] 642(3.2%) 220(1.1%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [54] 65.7% substitute-e [49] 17.1% ---------------------------------------------------------------------- expression-cost [46] 100.0% [50] 260(1.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [57] 100.0% ---------------------------------------------------------------------- f94 [51] 33.3% map [43] 33.3% approximate9 [42] 33.3% [51] 202(1.0%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [43] 66.7% f94 [51] 33.3% ---------------------------------------------------------------------- match-e [44] 100.0% [52] 200(1.0%) 200(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- merge-egraph-nodes! [48] 100.0% [53] 1262(6.3%) 600(3.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 36.6% make-sequence [67] 15.8% ---------------------------------------------------------------------- for-loop [45] 26.6% apply-match [37] 26.6% substitute-e [49] 46.8% [54] 902(4.5%) 200(1.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [62] 26.6% mutable-set [63] 26.6% hash-has-key? [65] 24.6% ---------------------------------------------------------------------- list-cartesian-product [55] 24.5% match-e [44] 27.5% for-loop [47] 47.9% [55] 864(4.3%) 664(3.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [55] 24.5% for-loop [66] 11.6% ---------------------------------------------------------------------- match-e [44] 23.3% for-loop [47] 76.7% [56] 858(4.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [44] 100.0% ---------------------------------------------------------------------- localize-error [13] 15.4% compile [50] 17.9% ??? [3] 30.9% ??? [61] 35.8% [57] 484(2.4%) 260(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [64] 46.3% ??? [61] 35.8% ---------------------------------------------------------------------- for-loop [47] 100.0% [58] 240(1.2%) 240(1.2%) filter ...t/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------- merge-egraph-nodes! [48] 100.0% [59] 200(1.0%) 200(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- update-leader! [53] 100.0% [60] 462(2.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [69] 100.0% ---------------------------------------------------------------------- hash-ref! [57] 100.0% [61] 260(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [57] 100.0% ---------------------------------------------------------------------- mk-enode! [54] 100.0% [62] 240(1.2%) 240(1.2%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 ---------------------------------------------------------------------- mk-enode! [54] 100.0% [63] 240(1.2%) 240(1.2%) mutable-set ...racket/private/set-types.rkt:1000:0 ---------------------------------------------------------------------- hash-ref! [57] 100.0% [64] 224(1.1%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [68] 100.0% ---------------------------------------------------------------------- mk-enode! [54] 100.0% [65] 222(1.1%) 222(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- list-cartesian-product [55] 100.0% [66] 200(1.0%) 200(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- update-leader! [53] 100.0% [67] 200(1.0%) 200(1.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- make-exacts* [36] 0.0% parse-loop12 [64] 0.1% map-enodes [29] 1.7% for-loop [47] 2.3% map [43] 2.7% loop! [71] 3.2% extract-alt [9] 6.4% loop [68] 81.9% [68] 12004(60.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [68] 81.9% simplify [11] 6.4% loop! [71] 3.2% ??? [70] 2.8% foldl [76] 1.7% simplify [77] 1.7% for-loop [78] 1.7% loop [75] 0.6% ??? [3] 0.0% ...higher-order.rkt:373:33 [74] 0.0% ->flonum [73] 0.0% ---------------------------------------------------------------------- for-loop [60] 100.0% [69] 462(2.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [72] 100.0% ---------------------------------------------------------------------- loop [68] 100.0% [70] 8710(43.7%) 934(4.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 62.7% real->bigfloat [80] 20.5% ??? [89] 6.1% ---------------------------------------------------------------------- merge-egraph-nodes! [48] 6.5% apply-match [37] 27.4% for-loop [45] 28.7% loop [68] 37.3% [71] 1538(7.7%) 482(2.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [68] 37.3% custom-set-union [83] 29.6% set [81] 17.3% ---------------------------------------------------------------------- for-loop [69] 100.0% [72] 462(2.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [82] 100.0% ---------------------------------------------------------------------- loop [68] 100.0% [73] 280(1.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 100.0% ---------------------------------------------------------------------- loop [68] 100.0% [74] 224(1.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [84] 100.0% ---------------------------------------------------------------------- loop [68] 100.0% [75] 220(1.1%) 220(1.1%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- loop [68] 100.0% [76] 202(1.0%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [85] 100.0% ---------------------------------------------------------------------- loop [68] 100.0% [77] 202(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [86] 100.0% ---------------------------------------------------------------------- loop [68] 100.0% [78] 200(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [87] 100.0% ---------------------------------------------------------------------- ??? [70] 100.0% [79] 5460(27.4%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 51.0% bf* [88] 49.0% ---------------------------------------------------------------------- ??? [70] 100.0% [80] 1786(9.0%) 1346(6.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 24.6% ---------------------------------------------------------------------- loop! [71] 100.0% [81] 600(3.0%) 600(3.0%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- hash-update! [72] 100.0% [82] 462(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [90] 100.0% ---------------------------------------------------------------------- loop! [71] 100.0% [83] 456(2.3%) 456(2.3%) custom-set-union ...et/private/set-types.rkt:168:0 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [74]100.0% [84] 224(1.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [89] 100.0% ---------------------------------------------------------------------- foldl [76] 100.0% [85] 202(1.0%) 202(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- simplify [77] 100.0% [86] 202(1.0%) 202(1.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ---------------------------------------------------------------------- for-loop [78] 100.0% [87] 200(1.0%) 200(1.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ---------------------------------------------------------------------- ??? [79] 100.0% [88] 2678(13.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ---------------------------------------------------------------------- ??? [84] 29.7% ??? [70] 70.3% [89] 754(3.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ---------------------------------------------------------------------- ??? [82] 100.0% [90] 462(2.3%) 220(1.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [92] 52.4% ---------------------------------------------------------------------- bf* [88] 49.0% ??? [79] 51.0% [91] 5460(27.4%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 83.3% ??? [94] 16.7% ---------------------------------------------------------------------- for-loop [90] 100.0% [92] 242(1.2%) 242(1.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ??? [91] 100.0% [93] 4548(22.8%) 3994(20.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 12.2% ---------------------------------------------------------------------- ->flonum [73] 14.4% ??? [89] 38.7% ??? [91] 46.9% [94] 1946(9.8%) 1094(5.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 43.8% ---------------------------------------------------------------------- real->bigfloat [80] 44.3% bfmul [93] 55.7% [95] 994(5.0%) 994(5.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [94] 100.0% [96] 852(4.3%) 566(2.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 33.6% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 286(1.4%) 286(1.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------