Profiling results ----------------- Total cpu time observed: 22644ms (out of 22944ms) Number of samples taken: 98 (once every 231ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 105 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [27] 100.0% [1] 21964(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [2] 15080(66.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 87.1% get-final-combination [9] 11.3% loop [33] 1.6% ---------------------------------------------------------------------- loop [76] 12.0% ??? [27] 88.0% [3] 14198(62.7%) 368(1.6%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 76.5% for-loop [8] 13.9% iterate-egraph!5 [10] 7.1% ---------------------------------------------------------------------- loop [76] 100.0% [4] 220(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [66] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 21964(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 13130(58.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 10858(48.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [10] 97.8% loop [13] 2.2% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 1970(8.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [10] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1710(7.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [12] 100.0% ---------------------------------------------------------------------- simplify [3] 7.4% for-loop [8] 14.5% simplify-expr [7] 78.1% [10] 13590(60.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [15] 90.2% map-enodes [16] 9.8% ---------------------------------------------------------------------- for-loop [6] 100.0% [11] 13130(58.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 95.1% gen-series! [18] 1.7% localize-error [19] 1.7% finalize-iter! [20] 1.5% ---------------------------------------------------------------------- get-final-combination [9] 100.0% [12] 1710(7.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [76] 100.0% ---------------------------------------------------------------------- simplify-expr [7] 100.0% [13] 240(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [17] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [14] 12488(55.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [10] 100.0% [15] 12264(54.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [22] 52.3% for-loop [23] 44.4% apply-match [28] 3.3% ---------------------------------------------------------------------- iterate-egraph!5 [10] 100.0% [16] 1326(5.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [76] 100.0% ---------------------------------------------------------------------- loop [13] 100.0% [17] 240(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [24] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [18] 220(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [19] 220(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [66] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [20] 202(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ---------------------------------------------------------------------- simplify! [14] 100.0% [21] 12488(55.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 100.0% ---------------------------------------------------------------------- one-iter [15] 100.0% [22] 6416(28.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [28] 100.0% ---------------------------------------------------------------------- for-loop [23] 45.9% one-iter [15] 54.1% [23] 5444(24.0%) 1064(4.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 45.9% match-e [34] 38.2% ??? [30] 2.0% ---------------------------------------------------------------------- pass [17] 100.0% [24] 240(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [29] 100.0% ---------------------------------------------------------------------- gen-series! [18] 100.0% [25] 220(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ---------------------------------------------------------------------- finalize-iter! [20] 100.0% [26] 202(0.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% ---------------------------------------------------------------------- for-loop [21] 18.7% run [5] 39.9% [27] 22424(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 39.9% run-improve58 [2] 25.0% simplify [3] 18.7% loop [33] 16.4% ---------------------------------------------------------------------- one-iter [15] 5.9% loop [22] 94.1% [28] 6820(30.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [34] 35.9% merge-egraph-nodes! [35] 25.2% for-loop [36] 16.7% loop! [43] 16.0% mk-enode! [45] 3.3% reduce-to-single! [40] 2.9% ---------------------------------------------------------------------- for-loop [24] 100.0% [29] 240(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [37] 100.0% ---------------------------------------------------------------------- for-loop [23] 100.0% [30] 220(1.0%) 220(1.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ---------------------------------------------------------------------- for-loop [25] 100.0% [31] 220(1.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [32] 202(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 3.2% ??? [27] 96.8% [33] 7584(33.5%) 220(1.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [50] 55.8% loop [42] 41.3% ---------------------------------------------------------------------- for-loop [51] 14.2% apply-match [28] 28.4% for-loop [23] 57.4% [34] 6608(29.2%) 2848(12.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 53.8% loop [76] 5.2% constant? [46] 1.8% for-loop [51] 1.7% ---------------------------------------------------------------------- apply-match [28] 100.0% [35] 1722(7.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [44] 50.1% loop! [43] 49.9% ---------------------------------------------------------------------- apply-match [28] 100.0% [36] 1138(5.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [43] 59.8% mk-enode! [45] 40.2% ---------------------------------------------------------------------- argmin [29] 100.0% [37] 240(1.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [47] 100.0% ---------------------------------------------------------------------- taylor-alt [31] 100.0% [38] 220(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ---------------------------------------------------------------------- for-loop [32] 100.0% [39] 202(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49] 100.0% ---------------------------------------------------------------------- apply-match [28] 100.0% [40] 200(0.9%) 200(0.9%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ---------------------------------------------------------------------- match-e [34] 100.0% [41] 4198(18.5%) 1786(7.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [51] 38.2% loop [76] 18.8% list-cartesian-product [57] 5.8% ---------------------------------------------------------------------- loop [33] 100.0% [42] 3132(13.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 49.0% make-exacts* [50] 36.9% eval-prog [56] 14.1% ---------------------------------------------------------------------- for-loop [36] 12.9% loop [76] 21.4% merge-egraph-nodes! [35] 32.7% apply-match [28] 33.0% [43] 2630(11.6%) 482(2.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [53] 41.8% loop [76] 36.8% set [61] 12.2% ---------------------------------------------------------------------- merge-egraph-nodes! [35] 100.0% [44] 862(3.8%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [54] 100.0% ---------------------------------------------------------------------- apply-match [28] 32.6% for-loop [36] 67.4% [45] 680(3.0%) 216(1.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [55] 68.2% ---------------------------------------------------------------------- match-e [34] 100.0% [46] 240(1.1%) 240(1.1%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- expression-cost [37] 100.0% [47] 240(1.1%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [66] 100.0% ---------------------------------------------------------------------- location-do [48] 50.0% for-loop [38] 50.0% [48] 220(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [48] 50.0% approximate9 [58] 50.0% ---------------------------------------------------------------------- atab-add-altn [39] 100.0% [49] 202(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 in-parallel [59] 100.0% ---------------------------------------------------------------------- loop [42] 21.5% loop [33] 78.5% [50] 5388(23.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [76] 54.5% map [60] 45.5% ---------------------------------------------------------------------- match-e [34] 10.8% for-loop [41] 89.2% [51] 2046(9.0%) 242(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 88.2% ---------------------------------------------------------------------- loop [42] 100.0% [52] 1534(6.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% ---------------------------------------------------------------------- loop! [43] 100.0% [53] 1100(4.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [63] 63.8% for-loop [64] 36.2% ---------------------------------------------------------------------- update-leader! [44] 100.0% [54] 862(3.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [62] 100.0% ---------------------------------------------------------------------- mk-enode! [45] 100.0% [55] 464(2.0%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [61] 100.0% ---------------------------------------------------------------------- loop [42] 100.0% [56] 442(2.0%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [66] 54.3% inductor [98] 45.7% ---------------------------------------------------------------------- list-cartesian-product [57] 50.0% for-loop [41] 50.0% [57] 242(1.1%) 242(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [57] 50.0% ---------------------------------------------------------------------- location-do [48] 100.0% [58] 220(1.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [65] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [49] 100.0% [59] 202(0.9%) 202(0.9%) in-parallel ...lects/racket/private/for.rkt:1140:2 ---------------------------------------------------------------------- f94 [69] 5.2% loop [52] 36.5% make-exacts* [50] 58.3% [60] 4206(18.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [76] 94.8% f94 [69] 5.2% ---------------------------------------------------------------------- new-enode [55] 41.9% loop! [43] 58.1% [61] 1108(4.9%) 1108(4.9%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- for-loop [54] 100.0% [62] 862(3.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% ---------------------------------------------------------------------- custom-set-union [53] 100.0% [63] 702(3.1%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [68] 100.0% ---------------------------------------------------------------------- custom-set-union [53] 100.0% [64] 398(1.8%) 398(1.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 ---------------------------------------------------------------------- approximate9 [58] 100.0% [65] 220(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [66] 100.0% ---------------------------------------------------------------------- localize-error [19] 8.0% loop [65] 8.0% eval-prog [56] 8.7% compile [47] 8.7% ??? [4] 15.9% ??? [73] 15.9% loop [76] 17.4% ??? [71] 17.4% [66] 920(4.1%) 240(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [71] 34.8% parse-loop12 [74] 23.9% ??? [73] 15.9% bigfloat-hash [72] 8.7% f94 [69] 8.0% ---------------------------------------------------------------------- for-loop [62] 100.0% [67] 862(3.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ---------------------------------------------------------------------- for-loop [63] 100.0% [68] 702(3.1%) 702(3.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- map [60] 50.0% hash-ref! [66] 50.0% [69] 220(1.0%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [60] 50.0% taylor [75] 50.0% ---------------------------------------------------------------------- hash-update! [67] 100.0% [70] 862(3.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [77] 100.0% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [71] 480(2.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [66] 50.0% loop [76] 50.0% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [72] 240(1.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [78] 100.0% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [73] 220(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [66] 100.0% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [74] 220(1.0%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [76] 100.0% ---------------------------------------------------------------------- f94 [69] 100.0% [75] 220(1.0%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [76] 100.0% ---------------------------------------------------------------------- parse-loop12 [74] 0.1% make-exacts* [50] 0.2% for-loop [41] 0.2% map [60] 1.2% taylor [75] 1.7% ??? [71] 1.8% map-enodes [16] 2.1% loop! [43] 2.4% match-e [34] 3.6% extract-alt [12] 9.5% loop [76] 77.1% [76] 12996(57.4%) 1232(5.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [76] 77.1% simplify [3] 9.5% for-loop [80] 2.1% loop! [43] 1.9% hash-ref! [66] 1.8% simplify [83] 1.7% ??? [79] 1.4% ??? [4] 0.1% foldl [84] 0.1% ??? [96] 0.0% ->flonum [81] 0.0% ---------------------------------------------------------------------- ??? [70] 100.0% [77] 862(3.8%) 622(2.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [82] 27.8% ---------------------------------------------------------------------- bigfloat-hash [72] 100.0% [78] 240(1.1%) 240(1.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- loop [76] 100.0% [79] 6662(29.4%) 700(3.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 75.5% real->bigfloat [87] 10.1% ??? [101] 3.9% ---------------------------------------------------------------------- loop [76] 100.0% [80] 1326(5.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [86] 83.4% setfindf [89] 16.6% ---------------------------------------------------------------------- loop [76] 100.0% [81] 260(1.1%) 260(1.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ---------------------------------------------------------------------- for-loop [77] 100.0% [82] 240(1.1%) 240(1.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- loop [76] 100.0% [83] 220(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [88] 100.0% ---------------------------------------------------------------------- loop [76] 100.0% [84] 200(0.9%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [90] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [85] 5030(22.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [96] 44.5% bf* [91] 30.1% ...higher-order.rkt:373:33 [92] 25.4% ---------------------------------------------------------------------- for-loop [80] 100.0% [86] 1106(4.9%) 440(1.9%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 parse-app [93] 21.9% ??? [96] 20.1% expression-induct31 [95] 18.3% ---------------------------------------------------------------------- ??? [79] 100.0% [87] 672(3.0%) 432(1.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 35.7% ---------------------------------------------------------------------- simplify [83] 100.0% [88] 220(1.0%) 220(1.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- for-loop [80] 100.0% [89] 220(1.0%) 220(1.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- foldl [84] 100.0% [90] 200(0.9%) 200(0.9%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- ??? [85] 100.0% [91] 1512(6.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [96] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [92] 1280(5.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [97] 100.0% ---------------------------------------------------------------------- eval-const-expr [86] 100.0% [93] 242(1.1%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [99] 100.0% ---------------------------------------------------------------------- real->bigfloat [87] 100.0% [94] 240(1.1%) 240(1.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- eval-const-expr [86] 100.0% [95] 202(0.9%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [98] 100.0% ---------------------------------------------------------------------- loop [76] 5.2% eval-const-expr [86] 5.3% bf* [91] 36.1% ??? [85] 53.4% [96] 4192(18.5%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [100] 94.8% ??? [103] 5.2% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [92]100.0% [97] 1280(5.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [101] 100.0% ---------------------------------------------------------------------- eval-prog [56] 12.5% expression-induct31 [95] 25.0% inductor [98] 62.5% [98] 404(1.8%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [98] 62.5% integer->bigfloat [102] 37.5% ---------------------------------------------------------------------- parse-app [93] 100.0% [99] 242(1.1%) 242(1.1%) loop .../collects/racket/private/stxcase.rkt:112:7 ---------------------------------------------------------------------- ??? [96] 100.0% [100] 3972(17.5%) 3972(17.5%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ---------------------------------------------------------------------- ??? [79] 16.9% ??? [97] 83.1% [101] 1540(6.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [103] 100.0% ---------------------------------------------------------------------- inductor [98] 100.0% [102] 404(1.8%) 404(1.8%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- ??? [96] 12.5% ??? [101] 87.5% [103] 1760(7.8%) 980(4.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [104] 44.3% ---------------------------------------------------------------------- ??? [103] 100.0% [104] 780(3.4%) 780(3.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 ----------------------------------------------------------------------