Profiling results ----------------- Total cpu time observed: 98198ms (out of 98900ms) Number of samples taken: 432 (once every 227ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 88 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [22] 100.0% [1] 97978(99.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ------------------------------------------------------------------------ ??? [22] 100.0% [2] 4980(5.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 64.8% loop [5] 28.1% get-final-combination [7] 7.1% ------------------------------------------------------------------------ loop [54] 100.0% [3] 596(0.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [40] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [4] 97978(99.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 1.5% ??? [22] 98.5% [5] 94616(96.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [11] 55.8% loop [8] 43.1% loop [12] 1.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [6] 3226(3.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [7] 356(0.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% ------------------------------------------------------------------------ loop [5] 100.0% [8] 40800(41.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [12] 64.1% make-exacts* [11] 35.9% ------------------------------------------------------------------------ for-loop [6] 100.0% [9] 3226(3.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 41.4% localize-error [14] 18.5% gen-series! [15] 17.7% finalize-iter! [16] 16.8% gen-rewrites! [17] 5.6% ------------------------------------------------------------------------ get-final-combination [7] 100.0% [10] 356(0.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [54] 100.0% ------------------------------------------------------------------------ loop [8] 21.7% loop [5] 78.3% [11] 67502(68.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [45] 51.1% loop [54] 48.9% ------------------------------------------------------------------------ loop [5] 3.6% loop [8] 96.4% [12] 27114(27.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [45] 100.0% ------------------------------------------------------------------------ run-iter! [9] 100.0% [13] 1336(1.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ------------------------------------------------------------------------ run-iter! [9] 100.0% [14] 596(0.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [40] 100.0% ------------------------------------------------------------------------ run-iter! [9] 100.0% [15] 572(0.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [19] 100.0% ------------------------------------------------------------------------ run-iter! [9] 100.0% [16] 542(0.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% ------------------------------------------------------------------------ run-iter! [9] 100.0% [17] 180(0.2%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [21] 100.0% ------------------------------------------------------------------------ simplify! [13] 100.0% [18] 1336(1.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 100.0% ------------------------------------------------------------------------ gen-series! [15] 100.0% [19] 572(0.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [23] 100.0% ------------------------------------------------------------------------ finalize-iter! [16] 100.0% [20] 542(0.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [24] 100.0% ------------------------------------------------------------------------ gen-rewrites! [17] 100.0% [21] 180(0.2%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [25] 100.0% ------------------------------------------------------------------------ for-loop [18] 0.5% run [4] 49.7% [22] 98198(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.7% loop [5] 47.6% run-improve58 [2] 2.3% simplify [57] 0.5% ------------------------------------------------------------------------ for-loop [19] 100.0% [23] 572(0.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [26] 100.0% ------------------------------------------------------------------------ ??? [20] 100.0% [24] 542(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [27] 100.0% ------------------------------------------------------------------------ for-loop [21] 100.0% [25] 180(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [28] 100.0% ------------------------------------------------------------------------ taylor-alt [23] 100.0% [26] 572(0.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [29] 100.0% ------------------------------------------------------------------------ for-loop [24] 100.0% [27] 542(0.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [30] 65.7% override-at-pnts [31] 34.3% ------------------------------------------------------------------------ matcher [35] 50.0% ??? [25] 50.0% [28] 180(0.2%) 180(0.2%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [32] 50.0% ------------------------------------------------------------------------ location-do [29] 16.8% for-loop [26] 83.2% [29] 572(0.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [33] 83.2% location-do [29] 16.8% ------------------------------------------------------------------------ atab-add-altn [27] 100.0% [30] 356(0.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [34] 100.0% ------------------------------------------------------------------------ atab-add-altn [27] 100.0% [31] 186(0.2%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [34] 100.0% ------------------------------------------------------------------------ rewriter [28] 100.0% [32] 180(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [35] 100.0% ------------------------------------------------------------------------ location-do [29] 100.0% [33] 572(0.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [36] 67.8% f6 [42] 32.2% ------------------------------------------------------------------------ override-at-pnts [31] 34.3% best-and-tied-at-points [30] 65.7% [34] 542(0.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [37] 65.7% eval-prog [38] 34.3% ------------------------------------------------------------------------ for-loop [39] 50.0% for-loop [32] 50.0% [35] 180(0.2%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 for-loop [39] 50.0% rewriter [28] 50.0% ------------------------------------------------------------------------ approximate9 [33] 100.0% [36] 388(0.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [40] 100.0% ------------------------------------------------------------------------ errors [34] 100.0% [37] 356(0.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [56] 100.0% ------------------------------------------------------------------------ errors [34] 100.0% [38] 186(0.2%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [41] 100.0% ------------------------------------------------------------------------ matcher [35] 100.0% [39] 180(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [35] 100.0% ------------------------------------------------------------------------ ??? [44] 6.5% ??? [43] 6.5% loop [36] 26.4% localize-error [14] 27.0% ??? [3] 33.6% [40] 984(1.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [52] 33.6% f6 [42] 27.0% simplify [50] 26.4% ??? [43] 6.5% ??? [44] 6.5% ------------------------------------------------------------------------ eval-prog [38] 20.0% inductor [41] 80.0% [41] 186(0.2%) 186(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [41] 80.0% ------------------------------------------------------------------------ composed [46] 3.4% approximate9 [33] 3.9% simplify [50] 5.7% append-map [47] 6.7% f6 [42] 11.8% map [45] 17.4% hash-ref! [40] 51.0% [42] 1168(1.2%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [45] 74.8% f6 [42] 11.8% append-map [47] 10.1% composed [46] 3.4% ------------------------------------------------------------------------ hash-ref! [40] 100.0% [43] 192(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [40] 100.0% ------------------------------------------------------------------------ hash-ref! [40] 100.0% [44] 192(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [40] 100.0% ------------------------------------------------------------------------ f6 [42] 1.9% loop [12] 43.2% make-exacts* [11] 54.9% [45] 62754(63.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [54] 98.8% f6 [42] 0.6% ??? [56] 0.3% taylor-invert [49] 0.3% make-multiplication-node [48] 0.0% ------------------------------------------------------------------------ f6 [42] 100.0% [46] 196(0.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [42] 100.0% ------------------------------------------------------------------------ f6 [42] 100.0% [47] 196(0.2%) 196(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 f6 [42] 66.7% ------------------------------------------------------------------------ map [45] 100.0% [48] 192(0.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [51]100.0% ------------------------------------------------------------------------ map [45] 100.0% [49] 184(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [50] 100.0% ------------------------------------------------------------------------ taylor-invert [49] 32.2% hash-ref! [40] 67.8% [50] 572(0.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [42] 67.8% parse-loop12 [52] 32.2% ------------------------------------------------------------------------ make-multiplication-node [48] 100.0% [51] 192(0.2%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [53] 100.0% ------------------------------------------------------------------------ simplify [50] 23.6% hash-ref! [40] 76.4% [52] 780(0.8%) 184(0.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [54] 76.4% ------------------------------------------------------------------------ make-multiplication-subnode [51]100.0% [53] 192(0.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 compose [55] 100.0% ------------------------------------------------------------------------ parse-loop12 [52] 0.0% extract-alt [10] 0.1% make-exacts* [11] 0.1% map [45] 1.5% loop [54] 98.3% [54] 95372(97.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [54] 98.3% ??? [56] 1.6% simplify [57] 0.1% ??? [3] 0.0% ??? [65] 0.0% ->flonum [58] 0.0% ------------------------------------------------------------------------ for-loop [53] 100.0% [55] 192(0.2%) 192(0.2%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------ map [45] 0.2% for-loop [37] 0.4% loop [54] 99.4% [56] 94770(96.5%) 236(0.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [59] 98.1% real->bigfloat [60] 1.4% ??? [71] 0.2% ------------------------------------------------------------------------ loop [54] 21.0% ??? [22] 79.0% [57] 1692(1.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [61] 54.8% for-loop [62] 23.3% iterate-egraph!5 [63] 21.9% ------------------------------------------------------------------------ loop [54] 100.0% [58] 202(0.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [73] 100.0% ------------------------------------------------------------------------ ??? [56] 100.0% [59] 92990(94.7%) 418(0.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [65] 98.0% ...higher-order.rkt:373:33 [64] 0.4% ------------------------------------------------------------------------ ??? [56] 100.0% [60] 1348(1.4%) 880(0.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [74] 34.7% ------------------------------------------------------------------------ simplify [57] 100.0% [61] 928(0.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [63] 100.0% ------------------------------------------------------------------------ simplify [57] 100.0% [62] 394(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [63] 100.0% ------------------------------------------------------------------------ simplify [57] 21.9% for-loop [62] 23.3% simplify-expr [61] 54.8% [63] 1692(1.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [66] 100.0% ------------------------------------------------------------------------ ??? [59] 100.0% [64] 404(0.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [71] 50.0% ??? [67] 50.0% ------------------------------------------------------------------------ loop [54] 0.6% ??? [59] 98.5% [65] 92586(94.3%) 88318(89.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [73] 1.7% bfcos [68] 1.5% bfsub [69] 1.5% ------------------------------------------------------------------------ iterate-egraph!5 [63] 100.0% [66] 1692(1.7%) 178(0.2%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [70] 66.0% loop [72] 11.9% apply-match [76] 11.6% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [64] 100.0% [67] 202(0.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [71] 100.0% ------------------------------------------------------------------------ ??? [65] 100.0% [68] 1360(1.4%) 682(0.7%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [74] 49.9% ------------------------------------------------------------------------ ??? [65] 100.0% [69] 1344(1.4%) 1104(1.1%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [74] 17.9% ------------------------------------------------------------------------ for-loop [70] 50.0% one-iter [66] 50.0% [70] 1116(1.1%) 554(0.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [70] 50.0% match-e [75] 25.2% ------------------------------------------------------------------------ ??? [56] 32.7% ??? [67] 33.7% ...higher-order.rkt:373:33 [64] 33.7% [71] 600(0.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [73] 100.0% ------------------------------------------------------------------------ one-iter [66] 100.0% [72] 202(0.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [76] 100.0% ------------------------------------------------------------------------ ->flonum [58] 8.5% ??? [71] 25.4% ??? [65] 66.1% [73] 2366(2.4%) 636(0.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [77] 64.5% ??? [78] 8.6% ------------------------------------------------------------------------ bfsub [69] 17.3% real->bigfloat [60] 33.8% bfcos [68] 48.9% [74] 1386(1.4%) 1386(1.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ for-loop [70] 100.0% [75] 562(0.6%) 382(0.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 list-cartesian-product [81] 32.0% ------------------------------------------------------------------------ one-iter [66] 49.2% loop [72] 50.8% [76] 398(0.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [79] 50.8% reduce-to-single! [80] 49.2% ------------------------------------------------------------------------ ??? [73] 100.0% [77] 1526(1.6%) 886(0.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [82] 41.9% ------------------------------------------------------------------------ ??? [73] 100.0% [78] 204(0.2%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [83] 100.0% ------------------------------------------------------------------------ apply-match [76] 100.0% [79] 202(0.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [84] 100.0% ------------------------------------------------------------------------ apply-match [76] 100.0% [80] 196(0.2%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 make-sequence [85] 100.0% ------------------------------------------------------------------------ list-cartesian-product [81] 50.0% match-e [75] 50.0% [81] 180(0.2%) 180(0.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [81] 50.0% ------------------------------------------------------------------------ ??? [77] 100.0% [82] 640(0.7%) 640(0.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------ ??? [78] 100.0% [83] 204(0.2%) 204(0.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ------------------------------------------------------------------------ merge-egraph-nodes! [79] 100.0% [84] 202(0.2%) 202(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ------------------------------------------------------------------------ reduce-to-single! [80] 100.0% [85] 196(0.2%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [86] 100.0% ------------------------------------------------------------------------ make-sequence [85] 100.0% [86] 196(0.2%) 196(0.2%) ??? ...acket/collects/racket/private/for.rkt:428:7 ------------------------------------------------------------------------