Profiling results ----------------- Total cpu time observed: 30616ms (out of 31064ms) Number of samples taken: 132 (once every 232ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 87 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [23] 100.0% [1] 29526(96.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ------------------------------------------------------------------------ ??? [23] 100.0% [2] 4206(13.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 64.6% loop [28] 15.4% finalize-table! [6] 15.2% get-final-combination [8] 4.8% ------------------------------------------------------------------------ location-do [34] 100.0% [3] 418(1.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [7] 52.6% taylor-quotient [9] 47.4% ------------------------------------------------------------------------ profile-thunk14 [1] 97.1% [4] 30394(99.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [23] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [5] 2718(8.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [6] 640(2.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [11] 100.0% ------------------------------------------------------------------------ approximate9 [3] 100.0% [7] 220(0.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [44] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 202(0.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [12] 100.0% ------------------------------------------------------------------------ approximate9 [3] 100.0% [9] 198(0.6%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [46] 100.0% ------------------------------------------------------------------------ for-loop [5] 100.0% [10] 2718(8.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 62.5% localize-error [14] 15.5% finalize-iter! [15] 14.7% gen-series! [17] 7.3% ------------------------------------------------------------------------ finalize-table! [6] 100.0% [11] 640(2.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [54] 34.4% for-loop [16] 34.4% localize-error [14] 31.2% ------------------------------------------------------------------------ get-final-combination [8] 100.0% [12] 202(0.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [54] 100.0% ------------------------------------------------------------------------ run-iter! [10] 100.0% [13] 1700(5.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ------------------------------------------------------------------------ post-process [11] 32.3% run-iter! [10] 67.7% [14] 620(2.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [44] 67.7% location-hash [21] 32.3% ------------------------------------------------------------------------ run-iter! [10] 100.0% [15] 400(1.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [19] 100.0% ------------------------------------------------------------------------ post-process [11] 100.0% [16] 220(0.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [20] 100.0% ------------------------------------------------------------------------ run-iter! [10] 100.0% [17] 198(0.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [22] 100.0% ------------------------------------------------------------------------ simplify! [13] 100.0% [18] 1700(5.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [23] 88.2% debug7 [27] 11.8% ------------------------------------------------------------------------ finalize-iter! [15] 100.0% [19] 400(1.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [25] 100.0% ------------------------------------------------------------------------ for-loop [16] 100.0% [20] 220(0.7%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [24] 100.0% ------------------------------------------------------------------------ localize-error [14] 100.0% [21] 200(0.7%) 0(0.0%) location-hash ...lock/herbie/src/programs.rkt:45:0 inductor [26] 100.0% ------------------------------------------------------------------------ gen-series! [17] 100.0% [22] 198(0.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [24] 100.0% ------------------------------------------------------------------------ for-loop [18] 1.6% run [4] 50.2% [23] 30616(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.4% loop [28] 44.9% run-improve58 [2] 6.1% simplify [57] 1.6% ------------------------------------------------------------------------ for-loop [22] 47.4% append-map [20] 52.6% [24] 418(1.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [29] 100.0% ------------------------------------------------------------------------ ??? [19] 100.0% [25] 400(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [30] 100.0% ------------------------------------------------------------------------ location-hash [21] 100.0% [26] 200(0.7%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:24:2 save [31] 100.0% ------------------------------------------------------------------------ for-loop [18] 100.0% [27] 200(0.7%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [32] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 2.4% ??? [23] 97.6% [28] 27056(88.4%) 198(0.6%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [38] 53.4% loop [33] 45.9% ------------------------------------------------------------------------ taylor-alt [24] 100.0% [29] 418(1.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [34] 100.0% ------------------------------------------------------------------------ for-loop [25] 100.0% [30] 400(1.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [35] 100.0% ------------------------------------------------------------------------ inductor [26] 100.0% [31] 200(0.7%) 0(0.0%) save /home/ztatlock/herbie/src/programs.rkt:48:2 hash-update! [36] 100.0% ------------------------------------------------------------------------ debug7 [27] 100.0% [32] 200(0.7%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [37] 100.0% ------------------------------------------------------------------------ loop [28] 100.0% [33] 12418(40.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [39] 57.9% make-exacts* [38] 42.1% ------------------------------------------------------------------------ for-loop [29] 29.4% location-do [34] 70.6% [34] 418(1.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [34] 70.6% approximate9 [3] 29.4% ------------------------------------------------------------------------ atab-add-altn [30] 100.0% [35] 400(1.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [40] 50.5% for-loop [41] 49.5% ------------------------------------------------------------------------ save [31] 100.0% [36] 200(0.7%) 200(0.7%) hash-update! ...ket/private/more-scheme.rkt:362:13 ------------------------------------------------------------------------ ??? [32] 100.0% [37] 200(0.7%) 200(0.7%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------ loop [33] 26.6% loop [28] 73.4% [38] 19674(64.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [54] 50.0% map [51] 46.8% eval-prog [42] 3.2% ------------------------------------------------------------------------ loop [33] 100.0% [39] 7184(23.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [51] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [35] 100.0% [40] 202(0.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [43] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [35] 100.0% [41] 198(0.6%) 198(0.6%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------ make-exacts* [38] 100.0% [42] 630(2.1%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [44] 100.0% ------------------------------------------------------------------------ errors [40] 100.0% [43] 202(0.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [56] 100.0% ------------------------------------------------------------------------ ??? [47] 8.7% loop [7] 8.7% ??? [60] 11.4% localize-error [14] 21.6% eval-prog [42] 49.6% [44] 1270(4.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [45] 49.6% f6 [48] 27.3% ??? [47] 8.7% simplify [46] 8.7% parse-loop12 [52] 5.7% ------------------------------------------------------------------------ hash-ref! [44] 100.0% [45] 630(2.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [49] 100.0% ------------------------------------------------------------------------ taylor-quotient [9] 47.4% hash-ref! [44] 52.6% [46] 418(1.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [48] 100.0% ------------------------------------------------------------------------ hash-ref! [44] 100.0% [47] 220(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [44] 100.0% ------------------------------------------------------------------------ simplify [46] 14.4% map [51] 35.4% hash-ref! [44] 50.1% [48] 838(2.7%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [51] 92.1% gather-multiplicative-terms [50] 7.9% ------------------------------------------------------------------------ bigfloat-hash [45] 100.0% [49] 630(2.1%) 630(2.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ f6 [48] 100.0% [50] 198(0.6%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [51] 100.0% ------------------------------------------------------------------------ gather-multiplicative-terms [50] 0.4% f6 [48] 4.5% loop [39] 41.7% make-exacts* [38] 53.4% [51] 17228(56.3%) 198(0.6%) map ...acket/collects/racket/private/map.rkt:21:13 loop [54] 95.8% f6 [48] 1.7% loop [53] 1.2% ??? [60] 0.6% parse-loop12 [52] 0.3% ------------------------------------------------------------------------ hash-ref! [44] 49.8% map [51] 50.2% [52] 438(1.4%) 220(0.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [54] 49.8% ------------------------------------------------------------------------ map [51] 4.8% loop [53] 95.2% [53] 202(0.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [53] 95.2% ??? [55] 4.8% ------------------------------------------------------------------------ parse-loop12 [52] 0.1% post-process [11] 0.2% extract-alt [12] 0.8% make-exacts* [38] 1.4% map [51] 2.4% loop [54] 95.2% [54] 26868(87.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [54] 95.2% ??? [56] 3.7% simplify [57] 0.8% completely-simplify-alt [59] 0.2% ??? [60] 0.1% ??? [70] 0.1% ->flonum [58] 0.0% ------------------------------------------------------------------------ loop [53] 100.0% [55] 202(0.7%) 202(0.7%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ------------------------------------------------------------------------ for-loop [43] 0.8% loop [54] 99.2% [56] 25972(84.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [61] 95.5% real->bigfloat [63] 3.7% ??? [77] 0.8% ------------------------------------------------------------------------ loop [54] 11.9% ??? [23] 88.1% [57] 1702(5.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [62] 76.5% loop [64] 11.8% for-loop [65] 11.8% ------------------------------------------------------------------------ loop [54] 100.0% [58] 458(1.5%) 220(0.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [67] 52.0% ------------------------------------------------------------------------ loop [54] 100.0% [59] 220(0.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [62] 100.0% ------------------------------------------------------------------------ loop [54] 50.0% map [51] 50.0% [60] 218(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [44] 100.0% ------------------------------------------------------------------------ ??? [56] 100.0% [61] 24794(81.0%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [70] 97.4% ...higher-order.rkt:373:33 [68] 0.9% ??? [67] 0.8% ------------------------------------------------------------------------ completely-simplify-alt [59] 14.5% simplify [57] 85.5% [62] 1522(5.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [66] 100.0% ------------------------------------------------------------------------ ??? [56] 100.0% [63] 958(3.1%) 738(2.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [80] 23.0% ------------------------------------------------------------------------ simplify [57] 100.0% [64] 200(0.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [69] 100.0% ------------------------------------------------------------------------ simplify [57] 100.0% [65] 200(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [66] 100.0% ------------------------------------------------------------------------ for-loop [65] 11.6% simplify-expr [62] 88.4% [66] 1722(5.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [71] 100.0% ------------------------------------------------------------------------ ??? [61] 45.9% ->flonum [58] 54.1% [67] 440(1.4%) 440(1.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [61] 100.0% [68] 222(0.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [72] 100.0% ------------------------------------------------------------------------ loop [64] 100.0% [69] 200(0.7%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [73] 100.0% ------------------------------------------------------------------------ loop [54] 0.9% ??? [61] 98.2% [70] 24588(80.3%) 22478(73.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [75] 3.0% ??? [79] 2.8% bfexpm1 [76] 2.8% ------------------------------------------------------------------------ iterate-egraph!5 [66] 100.0% [71] 1722(5.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [74] 87.3% loop [78] 12.7% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [68] 100.0% [72] 222(0.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [77] 100.0% ------------------------------------------------------------------------ pass [69] 100.0% [73] 200(0.7%) 200(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 ------------------------------------------------------------------------ for-loop [74] 42.7% one-iter [71] 57.3% [74] 1504(4.9%) 622(2.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [74] 42.7% match-e [81] 29.3% ------------------------------------------------------------------------ ??? [70] 100.0% [75] 728(2.4%) 232(0.8%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [80] 68.1% ------------------------------------------------------------------------ ??? [70] 100.0% [76] 688(2.2%) 450(1.5%) bfexpm1 ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [80] 34.6% ------------------------------------------------------------------------ ??? [56] 49.8% ??? [72] 50.2% [77] 442(1.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [79] 100.0% ------------------------------------------------------------------------ one-iter [71] 100.0% [78] 218(0.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [82] 100.0% ------------------------------------------------------------------------ ??? [77] 38.9% ??? [70] 61.1% [79] 1136(3.7%) 700(2.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [83] 38.4% ------------------------------------------------------------------------ real->bigfloat [63] 23.1% bfexpm1 [76] 24.9% bfsub [75] 52.0% [80] 954(3.1%) 954(3.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ for-loop [74] 100.0% [81] 882(2.9%) 882(2.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 ------------------------------------------------------------------------ loop [78] 100.0% [82] 218(0.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [84] 100.0% ------------------------------------------------------------------------ ??? [79] 100.0% [83] 436(1.4%) 220(0.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [86] 49.5% ------------------------------------------------------------------------ apply-match [82] 100.0% [84] 218(0.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [85] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [84] 100.0% [85] 218(0.7%) 218(0.7%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 ------------------------------------------------------------------------ ??? [83] 100.0% [86] 216(0.7%) 216(0.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------