Profiling results ----------------- Total cpu time observed: 22884ms (out of 23236ms) Number of samples taken: 90 (once every 254ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 93 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [43] 100.0% [1] 21844(95.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% ---------------------------------------------------------------------- ??? [43] 100.0% [2] 5292(23.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [13] 50.1% finalize-table! [14] 42.3% loop [48] 7.6% ---------------------------------------------------------------------- ??? [43] 100.0% [3] 1826(8.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [18] 53.1% iterate-egraph!5 [26] 24.1% simplify-expr [15] 22.8% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [4] 1010(4.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [5] 1008(4.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [17] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [6] 808(3.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [19] 100.0% ---------------------------------------------------------------------- loop [66] 100.0% [7] 624(2.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [15] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [8] 422(1.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [66] 52.6% hash-ref! [71] 47.4% ---------------------------------------------------------------------- match-e [45] 100.0% [9] 240(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [20] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [10] 202(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [11] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [22] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [12] 21844(95.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [43] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 2652(11.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [23] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 2236(9.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [24] 100.0% ---------------------------------------------------------------------- simplify [3] 40.0% completely-simplify-alt [7] 60.0% [15] 1040(4.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [26] 80.8% loop [28] 19.2% ---------------------------------------------------------------------- ??? [4] 100.0% [16] 1010(4.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [71] 80.0% simplify [25] 20.0% ---------------------------------------------------------------------- ??? [5] 100.0% [17] 1008(4.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [71] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [18] 970(4.2%) 386(1.7%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [26] 60.2% ---------------------------------------------------------------------- ??? [6] 100.0% [19] 808(3.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [27] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [20] 240(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 100.0% ---------------------------------------------------------------------- ??? [10] 100.0% [21] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [25] 100.0% ---------------------------------------------------------------------- ??? [11] 100.0% [22] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [62] 100.0% ---------------------------------------------------------------------- for-loop [13] 100.0% [23] 2652(11.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [29] 68.9% gen-series! [33] 22.9% localize-error [34] 8.3% ---------------------------------------------------------------------- finalize-table! [14] 100.0% [24] 2236(9.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [32] 63.1% loop [66] 36.9% ---------------------------------------------------------------------- for-loop [16] 10.0% for-loop [21] 10.0% hash-ref! [71] 80.0% [25] 2016(8.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [31] 69.9% parse-loop12 [62] 30.1% ---------------------------------------------------------------------- simplify [3] 23.6% for-loop [18] 31.3% simplify-expr [15] 45.1% [26] 1864(8.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [30] 89.3% map-enodes [35] 10.7% ---------------------------------------------------------------------- for-loop [19] 100.0% [27] 808(3.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [71] 100.0% ---------------------------------------------------------------------- simplify-expr [15] 100.0% [28] 200(0.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [36] 100.0% ---------------------------------------------------------------------- run-iter! [23] 100.0% [29] 1826(8.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [37] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [26] 100.0% [30] 1664(7.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [39] 75.0% apply-match [46] 13.1% loop [42] 11.9% ---------------------------------------------------------------------- parse-loop12 [62] 4.2% loop [66] 10.4% hash-ref! [71] 12.5% map [59] 16.7% simplify [25] 56.2% [31] 1612(7.0%) 604(2.6%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [59] 77.1% ---------------------------------------------------------------------- post-process [24] 100.0% [32] 1410(6.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [38] 100.0% ---------------------------------------------------------------------- run-iter! [23] 100.0% [33] 606(2.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [40] 100.0% ---------------------------------------------------------------------- loop [66] 47.9% run-iter! [23] 52.1% [34] 422(1.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [71] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [26] 100.0% [35] 200(0.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [66] 100.0% ---------------------------------------------------------------------- loop [28] 100.0% [36] 200(0.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [41] 100.0% ---------------------------------------------------------------------- simplify! [29] 100.0% [37] 1826(8.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [43] 100.0% ---------------------------------------------------------------------- for-loop [32] 100.0% [38] 1410(6.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [44] 100.0% ---------------------------------------------------------------------- for-loop [39] 50.0% one-iter [30] 50.0% [39] 1248(5.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [39] 50.0% match-e [45] 50.0% ---------------------------------------------------------------------- gen-series! [33] 100.0% [40] 606(2.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [44] 100.0% ---------------------------------------------------------------------- pass [36] 100.0% [41] 200(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [47] 100.0% ---------------------------------------------------------------------- one-iter [30] 100.0% [42] 198(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [46] 100.0% ---------------------------------------------------------------------- for-loop [37] 2.7% run [12] 46.4% [43] 22884(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.4% loop [48] 40.7% run-improve58 [2] 10.2% simplify [3] 2.7% ---------------------------------------------------------------------- for-loop [40] 30.1% append-map [38] 69.9% [44] 2016(8.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [49] 100.0% ---------------------------------------------------------------------- for-loop [20] 9.6% for-loop [39] 90.4% [45] 1248(5.5%) 1248(5.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [9] 9.6% ---------------------------------------------------------------------- loop [42] 47.6% one-iter [30] 52.4% [46] 416(1.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [50] 100.0% ---------------------------------------------------------------------- for-loop [41] 100.0% [47] 200(0.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [51] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.2% ??? [43] 97.8% [48] 17996(78.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [52] 47.7% make-exacts* [56] 43.0% loop [57] 9.3% ---------------------------------------------------------------------- taylor-alt [44] 100.0% [49] 2016(8.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% ---------------------------------------------------------------------- substitute-e [50] 23.8% apply-match [46] 76.2% [50] 416(1.8%) 198(0.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [54] 52.4% substitute-e [50] 23.8% ---------------------------------------------------------------------- argmin [47] 100.0% [51] 200(0.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [55] 100.0% ---------------------------------------------------------------------- loop [48] 100.0% [52] 8584(37.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [57] 63.4% make-exacts* [56] 28.5% eval-prog [61] 8.0% ---------------------------------------------------------------------- location-do [53] 25.0% for-loop [49] 75.0% [53] 2016(8.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [58] 75.0% location-do [53] 25.0% ---------------------------------------------------------------------- substitute-e [50] 100.0% [54] 218(1.0%) 218(1.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- expression-cost [51] 100.0% [55] 200(0.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [71] 100.0% ---------------------------------------------------------------------- loop [52] 24.0% loop [48] 76.0% [56] 10188(44.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [66] 56.4% map [59] 41.2% eval-prog [61] 2.4% ---------------------------------------------------------------------- loop [48] 23.5% loop [52] 76.5% [57] 7118(31.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% ---------------------------------------------------------------------- location-do [53] 100.0% [58] 2016(8.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [60] 100.0% ---------------------------------------------------------------------- parse-loop12 [62] 0.4% f37 [31] 10.7% make-exacts* [56] 33.0% loop [57] 55.9% [59] 12726(55.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [66] 87.6% parse-loop12 [62] 6.6% f37 [31] 2.5% ??? [70] 1.7% ??? [65] 0.8% loop [64] 0.8% ---------------------------------------------------------------------- approximate9 [58] 100.0% [60] 2016(8.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% ---------------------------------------------------------------------- make-exacts* [56] 26.3% loop [52] 73.7% [61] 936(4.1%) 212(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [71] 50.0% inductor [63] 27.4% ---------------------------------------------------------------------- for-loop [22] 4.9% simplify [25] 9.9% hash-ref! [71] 20.7% map [59] 29.6% parse-loop12 [62] 34.8% [62] 2034(8.9%) 1412(6.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [62] 34.8% loop [66] 30.6% for-loop [69] 4.9% f37 [31] 3.3% map [59] 2.5% ---------------------------------------------------------------------- eval-prog [61] 33.3% inductor [63] 66.7% [63] 256(1.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [63] 66.7% integer->bigfloat [67] 33.3% ---------------------------------------------------------------------- map [59] 33.3% loop [64] 66.7% [64] 202(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [64] 66.7% ??? [68] 33.3% ---------------------------------------------------------------------- map [59] 50.0% loop [66] 50.0% [65] 202(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [71] 100.0% ---------------------------------------------------------------------- map-enodes [35] 0.5% parse-loop12 [62] 0.9% ??? [8] 1.2% post-process [24] 1.3% map [59] 2.0% make-exacts* [56] 2.6% loop [66] 91.4% [66] 18708(81.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [66] 91.4% ??? [70] 4.3% hash-ref! [71] 1.2% completely-simplify-alt [7] 0.8% f37 [31] 0.7% localize-error [34] 0.5% ??? [65] 0.5% ->flonum [72] 0.0% ...ow-val-first.rkt:357:18 [73] 0.0% ---------------------------------------------------------------------- inductor [63] 100.0% [67] 256(1.1%) 256(1.1%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- loop [64] 100.0% [68] 202(0.9%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [72] 100.0% ---------------------------------------------------------------------- parse-loop12 [62] 100.0% [69] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [71] 100.0% ---------------------------------------------------------------------- map [59] 1.3% loop [66] 98.7% [70] 16628(72.7%) 1574(6.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [74] 65.8% real->bigfloat [75] 22.0% ??? [87] 2.8% ---------------------------------------------------------------------- for-loop [69] 2.1% ??? [8] 3.2% compile [55] 3.2% ??? [65] 4.3% loop [66] 4.8% for-loop [16] 6.2% for-loop [27] 6.2% for-loop [17] 8.9% localize-error [34] 9.3% eval-prog [61] 10.3% ??? [76] 20.8% loop [60] 20.8% [71] 3106(13.6%) 200(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [76] 20.8% simplify [25] 17.5% bigfloat-hash [77] 10.3% parse-loop12 [62] 9.3% ??? [5] 8.9% ??? [8] 8.0% ??? [4] 7.8% ??? [6] 6.2% f37 [31] 4.3% ??? [11] 2.1% ??? [10] 1.6% ---------------------------------------------------------------------- ??? [68] 31.9% loop [66] 68.1% [72] 634(2.8%) 404(1.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 36.3% ---------------------------------------------------------------------- loop [66] 100.0% [73] 220(1.0%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [85] 100.0% ---------------------------------------------------------------------- ??? [70] 100.0% [74] 10936(47.8%) 1062(4.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [84] 61.6% ...higher-order.rkt:369:33 [78] 12.5% ...higher-order.rkt:373:33 [79] 6.3% bf<= [80] 6.1% bf* [81] 3.7% ---------------------------------------------------------------------- ??? [70] 100.0% [75] 3656(16.0%) 2466(10.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [90] 32.5% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [76] 2016(8.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [71] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 468(2.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [82] 52.6% bfcanonicalize [83] 47.4% ---------------------------------------------------------------------- ??? [74] 100.0% [78] 1368(6.0%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [87] 83.5% ??? [85] 16.5% ---------------------------------------------------------------------- ??? [74] 100.0% [79] 694(3.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [85] 100.0% ---------------------------------------------------------------------- ??? [74] 100.0% [80] 670(2.9%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [74] 100.0% [81] 404(1.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [84] 100.0% ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [82] 246(1.1%) 246(1.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [83] 222(1.0%) 222(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bf* [81] 5.7% ??? [74] 94.3% [84] 7142(31.2%) 466(2.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [86] 61.4% bfsqr [88] 19.1% ??? [89] 13.0% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [73] 19.3% ...higher-order.rkt:369:33 [78] 19.8% ...higher-order.rkt:373:33 [79] 60.9% [85] 1140(5.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [87] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [86] 4384(19.2%) 3298(14.4%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [90] 24.8% ---------------------------------------------------------------------- ??? [70] 16.8% ??? [85] 41.5% ...higher-order.rkt:369:33 [78] 41.6% [87] 2744(12.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [88] 1364(6.0%) 690(3.0%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [90] 49.4% ---------------------------------------------------------------------- ->flonum [72] 5.0% bf<= [80] 14.7% ??? [84] 20.3% ??? [87] 60.0% [89] 4572(20.0%) 2988(13.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 34.6% ---------------------------------------------------------------------- bfsqr [88] 22.8% bfmul [86] 36.8% real->bigfloat [75] 40.3% [90] 2950(12.9%) 2950(12.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [89] 100.0% [91] 1584(6.9%) 1146(5.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [92] 27.7% ---------------------------------------------------------------------- ??? [91] 100.0% [92] 438(1.9%) 438(1.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------