Profiling results ----------------- Total cpu time observed: 20768ms (out of 21284ms) Number of samples taken: 88 (once every 236ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 89 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [30] 100.0% [1] 20148(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------- ??? [30] 100.0% [2] 4770(23.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [8] 52.3% for-loop [9] 34.5% loop [33] 4.6% setup-prog [13] 4.4% get-final-combination [14] 4.2% --------------------------------------------------------------------- hash-ref! [51] 100.0% [3] 1228(5.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [10] 100.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [4] 1026(4.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [11] 100.0% --------------------------------------------------------------------- loop [62] 100.0% [5] 664(3.2%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [26] 100.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [6] 402(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 20148(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 2494(12.0%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1646(7.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% --------------------------------------------------------------------- ??? [3] 100.0% [10] 1228(5.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [51] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [11] 1026(4.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [17] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [12] 402(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [51] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 208(1.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [18] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 202(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% --------------------------------------------------------------------- finalize-table! [8] 100.0% [15] 2494(12.0%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [20] 73.4% loop [62] 26.6% --------------------------------------------------------------------- for-loop [9] 100.0% [16] 1646(7.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [22] 75.6% localize-error [23] 12.3% gen-series! [24] 12.2% --------------------------------------------------------------------- for-loop [11] 100.0% [17] 1026(4.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [51] 100.0% --------------------------------------------------------------------- setup-prog [13] 100.0% [18] 208(1.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [21] 100.0% --------------------------------------------------------------------- get-final-combination [14] 100.0% [19] 202(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [62] 100.0% --------------------------------------------------------------------- post-process [15] 100.0% [20] 1830(8.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [25] 100.0% --------------------------------------------------------------------- loop [62] 12.2% simplify-alt [18] 12.6% ??? [30] 75.2% [21] 1654(8.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [26] 61.9% for-loop [28] 25.5% iterate-egraph!5 [31] 12.6% --------------------------------------------------------------------- run-iter! [16] 100.0% [22] 1244(6.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [23] 202(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [51] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [24] 200(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% --------------------------------------------------------------------- parse-loop12 [59] 3.1% f37 [65] 11.8% for-loop [20] 85.1% [25] 1830(8.8%) 202(1.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [32] 85.1% parse-loop12 [59] 3.1% f37 [65] 3.1% loop [62] 1.6% --------------------------------------------------------------------- completely-simplify-alt [5] 39.3% simplify [21] 60.7% [26] 1688(8.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [31] 100.0% --------------------------------------------------------------------- simplify! [22] 100.0% [27] 1244(6.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% --------------------------------------------------------------------- simplify [21] 100.0% [28] 422(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [31] 100.0% --------------------------------------------------------------------- gen-series! [24] 100.0% [29] 200(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% --------------------------------------------------------------------- for-loop [27] 2.2% run [7] 48.2% [30] 20550(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.2% loop [33] 38.4% run-improve58 [2] 11.2% simplify [21] 2.2% --------------------------------------------------------------------- simplify [21] 9.0% for-loop [28] 18.2% simplify-expr [26] 72.8% [31] 2318(11.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [35] 80.6% map-enodes [36] 19.4% --------------------------------------------------------------------- for-loop [29] 9.9% append-map [25] 90.1% [32] 2030(9.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% --------------------------------------------------------------------- run-improve58 [2] 1.4% ??? [30] 98.6% [33] 16000(77.0%) 222(1.1%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [37] 52.7% make-exacts* [41] 32.1% loop [42] 13.8% --------------------------------------------------------------------- taylor-alt [32] 100.0% [34] 2030(9.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [35] 1868(9.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [39] 88.1% loop [40] 11.9% --------------------------------------------------------------------- iterate-egraph!5 [31] 100.0% [36] 450(2.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [62] 100.0% --------------------------------------------------------------------- loop [33] 100.0% [37] 8436(40.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [41] 49.0% loop [42] 48.1% eval-prog [49] 2.9% --------------------------------------------------------------------- location-do [38] 13.2% for-loop [34] 86.8% [38] 2030(9.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [43] 86.8% location-do [38] 13.2% --------------------------------------------------------------------- for-loop [39] 43.9% one-iter [35] 56.1% [39] 1646(7.9%) 402(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [39] 43.9% match-e [44] 37.8% --------------------------------------------------------------------- one-iter [35] 100.0% [40] 222(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [45] 100.0% --------------------------------------------------------------------- loop [37] 44.6% loop [33] 55.4% [41] 9274(44.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [62] 56.6% map [46] 41.1% eval-prog [49] 2.3% --------------------------------------------------------------------- loop [33] 35.1% loop [37] 64.9% [42] 6260(30.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [46] 100.0% --------------------------------------------------------------------- location-do [38] 100.0% [43] 2030(9.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [47] 90.0% f37 [65] 10.0% --------------------------------------------------------------------- for-loop [53] 8.0% for-loop [39] 92.0% [44] 1244(6.0%) 620(3.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [48] 41.9% loop [62] 16.2% --------------------------------------------------------------------- loop [40] 100.0% [45] 222(1.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [50] 100.0% --------------------------------------------------------------------- f37 [65] 3.8% make-exacts* [41] 36.4% loop [42] 59.8% [46] 10470(50.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [62] 96.2% parse-loop12 [59] 3.8% --------------------------------------------------------------------- approximate9 [43] 100.0% [47] 1828(8.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [51] 100.0% --------------------------------------------------------------------- match-e [44] 100.0% [48] 620(3.0%) 422(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 31.9% --------------------------------------------------------------------- make-exacts* [41] 46.7% loop [37] 53.3% [49] 458(2.2%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [51] 100.0% --------------------------------------------------------------------- apply-match [45] 100.0% [50] 222(1.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [52] 100.0% --------------------------------------------------------------------- for-loop [12] 3.6% loop [62] 4.3% localize-error [23] 8.1% for-loop [17] 9.9% for-loop [10] 11.9% eval-prog [49] 14.1% ??? [55] 20.0% loop [47] 28.0% [51] 2488(12.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [54] 28.0% ??? [55] 20.0% bigfloat-hash [56] 14.1% ??? [3] 11.9% ??? [4] 9.9% parse-loop12 [59] 8.1% ??? [58] 4.3% ??? [6] 3.6% --------------------------------------------------------------------- merge-egraph-nodes! [50] 100.0% [52] 222(1.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 100.0% --------------------------------------------------------------------- for-loop [48] 100.0% [53] 198(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [44] 100.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [54] 1828(8.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [59] 56.1% f37 [65] 32.9% debug-print [61] 10.9% --------------------------------------------------------------------- hash-ref! [51] 100.0% [55] 1628(7.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [51] 100.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [56] 458(2.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [60] 100.0% --------------------------------------------------------------------- update-leader! [52] 100.0% [57] 222(1.1%) 222(1.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 --------------------------------------------------------------------- hash-ref! [51] 100.0% [58] 214(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [62] 100.0% --------------------------------------------------------------------- loop [62] 6.6% append-map [25] 12.3% hash-ref! [51] 12.4% map [46] 14.8% simplify [54] 22.1% parse-loop12 [59] 31.9% [59] 1628(7.8%) 824(4.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [62] 37.5% parse-loop12 [59] 31.9% append-map [25] 12.3% f37 [65] 2.5% --------------------------------------------------------------------- bigfloat-hash [56] 100.0% [60] 458(2.2%) 458(2.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- simplify [54] 100.0% [61] 200(1.0%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [63] 100.0% --------------------------------------------------------------------- append-map [25] 0.4% make-exacts* [41] 0.5% post-process [15] 0.8% match-e [44] 1.1% extract-alt [19] 1.1% ??? [58] 1.2% map-enodes [36] 1.5% map [46] 2.6% parse-loop12 [59] 4.4% loop [62] 86.4% [62] 18234(87.8%) 174(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [62] 86.4% ??? [64] 2.9% f37 [65] 2.6% parse-loop12 [59] 2.2% for-loop [67] 1.5% hash-ref! [51] 1.2% simplify [21] 1.1% completely-simplify-alt [5] 0.8% ->flonum [66] 0.3% ??? [79] 0.0% --------------------------------------------------------------------- debug-print [61] 100.0% [63] 200(1.0%) 200(1.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- loop [62] 100.0% [64] 14792(71.2%) 614(3.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [68] 62.4% real->bigfloat [69] 30.1% ??? [81] 3.3% --------------------------------------------------------------------- append-map [25] 6.6% f37 [65] 8.4% approximate9 [43] 8.4% composed [70] 11.7% parse-loop12 [59] 16.7% loop [62] 20.0% simplify [54] 28.3% [65] 1208(5.8%) 200(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [46] 25.0% append-map [25] 21.6% parse-app [73] 16.7% composed [70] 11.7% f37 [65] 8.4% taylor-invert [72] 8.4% --------------------------------------------------------------------- loop [62] 100.0% [66] 572(2.8%) 124(0.6%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [84] 78.3% --------------------------------------------------------------------- loop [62] 100.0% [67] 450(2.2%) 208(1.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [71] 53.8% --------------------------------------------------------------------- ??? [64] 100.0% [68] 9236(44.5%) 956(4.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [79] 63.7% ...higher-order.rkt:369:33 [74] 12.6% ...higher-order.rkt:373:33 [75] 8.3% bf<= [76] 2.6% bf* [77] 2.4% --------------------------------------------------------------------- ??? [64] 100.0% [69] 4456(21.5%) 2884(13.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [85] 35.3% --------------------------------------------------------------------- f37 [65] 100.0% [70] 402(1.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f37 [65] 100.0% --------------------------------------------------------------------- for-loop [67] 100.0% [71] 242(1.2%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ??? [79] 100.0% --------------------------------------------------------------------- f37 [65] 100.0% [72] 202(1.0%) 202(1.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 --------------------------------------------------------------------- f37 [65] 100.0% [73] 202(1.0%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [78] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [74] 1166(5.6%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [80] 78.0% ??? [81] 22.0% --------------------------------------------------------------------- ??? [68] 100.0% [75] 766(3.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [80] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [76] 244(1.2%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [84] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [77] 220(1.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [79] 100.0% --------------------------------------------------------------------- parse-app [73] 33.3% loop [78] 66.7% [78] 202(1.0%) 202(1.0%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [78] 66.7% --------------------------------------------------------------------- loop [62] 3.1% bf* [77] 3.4% eval-const-expr [71] 3.7% ??? [68] 89.9% [79] 6548(31.5%) 2084(10.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [82] 35.8% bfsqr [83] 19.1% ??? [84] 13.3% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [75] 45.7% ...higher-order.rkt:369:33 [74] 54.3% [80] 1676(8.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [81] 100.0% --------------------------------------------------------------------- ...higher-order.rkt:369:33 [74] 10.6% ??? [64] 20.1% ??? [80] 69.3% [81] 2418(11.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [84] 100.0% --------------------------------------------------------------------- ??? [79] 100.0% [82] 2344(11.3%) 1416(6.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [85] 39.6% --------------------------------------------------------------------- ??? [79] 100.0% [83] 1250(6.0%) 504(2.4%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [85] 59.7% --------------------------------------------------------------------- bf<= [76] 6.1% ->flonum [66] 11.3% ??? [79] 21.9% ??? [81] 60.8% [84] 3980(19.2%) 3104(14.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [86] 22.0% --------------------------------------------------------------------- bfsqr [83] 23.0% bfmul [82] 28.6% real->bigfloat [69] 48.4% [85] 3246(15.6%) 3246(15.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [84] 100.0% [86] 876(4.2%) 236(1.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [87] 73.1% --------------------------------------------------------------------- ??? [86] 100.0% [87] 640(3.1%) 640(3.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------