Profiling results ----------------- Total cpu time observed: 13674ms (out of 13864ms) Number of samples taken: 62 (once every 221ms) (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 ==================================================================== ??? [11] 100.0% [1] 12834(93.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% -------------------------------------------------------------------- location-do [68] 100.0% [2] 3156(23.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [7] 80.4% f37 [33] 13.3% taylor-quotient [10] 6.3% -------------------------------------------------------------------- loop [53] 100.0% [3] 1226(9.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [8] 100.0% -------------------------------------------------------------------- hash-ref! [17] 100.0% [4] 240(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:408:23 for-loop [9] 100.0% -------------------------------------------------------------------- f37 [33] 100.0% [5] 220(1.6%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [13] 100.0% -------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 12834(93.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [11] 100.0% -------------------------------------------------------------------- approximate9 [2] 100.0% [7] 2536(18.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [17] 100.0% -------------------------------------------------------------------- simplify [59] 40.3% completely-simplify-alt [3] 59.7% [8] 2052(15.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 100.0% -------------------------------------------------------------------- ??? [4] 100.0% [9] 240(1.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:411:30 for-loop [14] 100.0% -------------------------------------------------------------------- approximate9 [2] 100.0% [10] 200(1.5%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [13] 100.0% -------------------------------------------------------------------- for-loop [48] 3.6% run [6] 45.1% [11] 13674(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.1% run-improve58 [15] 28.6% loop [16] 22.6% simplify [59] 3.6% -------------------------------------------------------------------- simplify [59] 14.5% for-loop [66] 14.5% simplify-expr [8] 71.0% [12] 2892(21.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 100.0% -------------------------------------------------------------------- taylor-quotient [10] 47.6% taylor-invert [5] 52.4% [13] 420(3.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [21] 52.4% hash-ref! [17] 47.6% -------------------------------------------------------------------- for-loop [9] 100.0% [14] 240(1.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:414:42 hash-ref! [17] 100.0% -------------------------------------------------------------------- ??? [11] 100.0% [15] 7700(56.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [19] 49.0% finalize-table! [20] 48.3% get-final-combination [26] 2.6% -------------------------------------------------------------------- ??? [11] 100.0% [16] 5974(43.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [28] 66.5% loop [24] 33.5% -------------------------------------------------------------------- for-loop [14] 2.0% for-loop [34] 4.5% ??? [61] 5.6% first-nonzero-exp [13] 6.8% ??? [25] 16.1% ??? [22] 28.1% loop [7] 34.9% [17] 2958(21.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [21] 41.7% ??? [22] 28.1% ??? [25] 20.7% f37 [33] 5.6% ??? [4] 2.0% parse-loop50 [31] 1.9% -------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [18] 2892(21.1%) 200(1.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [23] 79.3% loop [27] 7.0% apply-match [35] 6.8% -------------------------------------------------------------------- run-improve58 [15] 100.0% [19] 3776(27.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [29] 100.0% -------------------------------------------------------------------- run-improve58 [15] 100.0% [20] 3722(27.2%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [30] 100.0% -------------------------------------------------------------------- loop [53] 6.3% first-nonzero-exp [13] 7.0% hash-ref! [17] 86.7% [21] 3156(23.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [31] 67.0% f37 [33] 19.6% simplify-node [36] 7.0% debug-print [57] 6.3% -------------------------------------------------------------------- hash-ref! [17] 100.0% [22] 2336(17.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [17] 100.0% -------------------------------------------------------------------- for-loop [23] 36.9% one-iter [18] 63.1% [23] 2292(16.8%) 1024(7.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 36.9% match-e [41] 27.7% -------------------------------------------------------------------- loop [16] 100.0% [24] 2004(14.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [28] 53.6% loop [32] 46.4% -------------------------------------------------------------------- hash-ref! [17] 100.0% [25] 1894(13.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [17] 78.8% for-loop [34] 21.2% -------------------------------------------------------------------- run-improve58 [15] 100.0% [26] 202(1.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [37] 100.0% -------------------------------------------------------------------- one-iter [18] 100.0% [27] 202(1.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% -------------------------------------------------------------------- loop [24] 21.3% loop [16] 78.7% [28] 5044(36.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [53] 53.4% map [38] 46.6% -------------------------------------------------------------------- for-loop [19] 100.0% [29] 3776(27.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [40] 44.1% gen-series! [42] 28.7% finalize-iter! [43] 27.2% -------------------------------------------------------------------- finalize-table! [20] 100.0% [30] 3722(27.2%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [39] 55.7% loop [53] 38.9% ??? [49] 5.4% -------------------------------------------------------------------- hash-ref! [17] 8.8% parse-loop50 [31] 12.6% map [38] 17.7% loop [53] 26.8% simplify [21] 34.2% [31] 2536(18.5%) 2112(15.4%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [53] 25.8% map [38] 23.4% parse-loop50 [31] 12.6% select-handler/no-breaks [44] 2.7% -------------------------------------------------------------------- loop [24] 100.0% [32] 930(6.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [38] 100.0% -------------------------------------------------------------------- approximate9 [2] 10.5% f37 [33] 13.1% map [38] 15.8% hash-ref! [17] 26.4% simplify [21] 34.2% [33] 842(6.2%) 220(1.6%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [38] 66.0% f37 [33] 13.1% taylor-invert [5] 6.5% loop [53] 4.0% composed [45] 4.0% -------------------------------------------------------------------- ??? [25] 100.0% [34] 402(2.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [17] 100.0% -------------------------------------------------------------------- one-iter [18] 49.5% loop [27] 50.5% [35] 400(2.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [41] 50.5% substitute-e [46] 49.5% -------------------------------------------------------------------- simplify [21] 100.0% [36] 222(1.6%) 222(1.6%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 -------------------------------------------------------------------- get-final-combination [26] 100.0% [37] 202(1.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [53] 100.0% -------------------------------------------------------------------- f37 [33] 11.6% loop [32] 17.3% parse-loop50 [31] 27.4% make-exacts* [28] 43.7% [38] 5372(39.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [53] 70.8% parse-loop50 [31] 21.3% f37 [33] 3.7% ??? [61] 2.8% ??? [79] 1.4% -------------------------------------------------------------------- post-process [30] 100.0% [39] 2072(15.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [47] 100.0% -------------------------------------------------------------------- run-iter! [29] 100.0% [40] 1666(12.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [48] 100.0% -------------------------------------------------------------------- apply-match [35] 13.7% for-loop [23] 86.3% [41] 1470(10.8%) 846(6.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [51] 28.7% for-loop [55] 13.7% -------------------------------------------------------------------- run-iter! [29] 100.0% [42] 1084(7.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [50] 100.0% -------------------------------------------------------------------- run-iter! [29] 100.0% [43] 1026(7.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [49] 100.0% -------------------------------------------------------------------- parse-loop50 [31] 100.0% [44] 202(1.5%) 202(1.5%) select-handler/no-breaks .../more-scheme.rkt:163:2 -------------------------------------------------------------------- f37 [33] 100.0% [45] 200(1.5%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 free-variables [52] 100.0% -------------------------------------------------------------------- substitute-e [46] 50.0% apply-match [35] 50.0% [46] 198(1.4%) 198(1.4%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [46] 50.0% -------------------------------------------------------------------- for-loop [39] 100.0% [47] 2072(15.2%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [58] 90.3% loop [53] 9.7% -------------------------------------------------------------------- simplify! [40] 100.0% [48] 1666(12.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [11] 87.9% debug-print [57] 12.1% -------------------------------------------------------------------- post-process [30] 16.4% finalize-iter! [43] 83.6% [49] 1228(9.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [54] 67.1% atab-add-altns [56] 32.9% -------------------------------------------------------------------- gen-series! [42] 100.0% [50] 1084(7.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [58] 100.0% -------------------------------------------------------------------- match-e [41] 100.0% [51] 422(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [55] 52.1% loop [53] 47.9% -------------------------------------------------------------------- composed [45] 100.0% [52] 200(1.5%) 200(1.5%) free-variables ...ock/herbie/src/programs.rkt:89:0 -------------------------------------------------------------------- make-exacts* [28] 0.8% f37 [33] 1.0% append-map [47] 1.0% for-loop [51] 2.1% extract-alt [37] 2.1% map [38] 2.2% post-process [30] 4.4% parse-loop50 [31] 7.2% loop [53] 79.1% [53] 9698(70.9%) 202(1.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [53] 79.1% parse-loop50 [31] 8.1% completely-simplify-alt [3] 3.3% simplify [59] 2.1% ??? [61] 1.1% taylor-alt [58] 1.0% simplify [21] 1.0% ??? [72] 0.6% ->flonum [73] 0.5% -------------------------------------------------------------------- ??? [49] 100.0% [54] 824(6.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [60] 100.0% -------------------------------------------------------------------- match-e [41] 47.9% for-loop [51] 52.1% [55] 422(3.1%) 202(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ??? [62] 52.1% -------------------------------------------------------------------- ??? [49] 100.0% [56] 404(3.0%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [60] 100.0% -------------------------------------------------------------------- simplify [21] 49.8% for-loop [48] 50.2% [57] 402(2.9%) 200(1.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [63] 50.2% -------------------------------------------------------------------- loop [53] 6.3% for-loop [50] 34.3% append-map [47] 59.3% [58] 3156(23.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [64] 100.0% -------------------------------------------------------------------- loop [53] 12.1% ??? [11] 87.9% [59] 1666(12.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 49.6% for-loop [66] 25.2% iterate-egraph!5 [12] 25.2% -------------------------------------------------------------------- atab-add-altns [56] 32.9% for-loop [54] 67.1% [60] 1228(9.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [65] 83.6% override-at-pnts [67] 16.4% -------------------------------------------------------------------- loop [53] 33.3% map [38] 66.7% [61] 222(1.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [17] 100.0% -------------------------------------------------------------------- for-loop [55] 100.0% [62] 220(1.6%) 220(1.6%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 -------------------------------------------------------------------- debug-print [57] 100.0% [63] 202(1.5%) 202(1.5%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------- taylor-alt [58] 100.0% [64] 3156(23.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [68] 100.0% -------------------------------------------------------------------- atab-add-altn [60] 100.0% [65] 1026(7.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [69] 100.0% -------------------------------------------------------------------- simplify [59] 100.0% [66] 420(3.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 100.0% -------------------------------------------------------------------- atab-add-altn [60] 100.0% [67] 202(1.5%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [69] 100.0% -------------------------------------------------------------------- for-loop [64] 21.1% location-do [68] 78.9% [68] 3156(23.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [68] 78.9% approximate9 [2] 21.1% -------------------------------------------------------------------- override-at-pnts [67] 16.4% best-and-tied-at-points [65] 83.6% [69] 1228(9.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [70] 50.7% eval-prog [71] 49.3% -------------------------------------------------------------------- errors [69] 100.0% [70] 622(4.5%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [72] 67.5% ->flonum [73] 32.5% -------------------------------------------------------------------- errors [69] 100.0% [71] 606(4.4%) 202(1.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [74] 33.3% go [75] 33.3% -------------------------------------------------------------------- for-loop [70] 7.6% loop [53] 92.4% [72] 5538(40.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [76] 60.5% real->bigfloat [77] 30.8% ??? [78] 8.8% -------------------------------------------------------------------- for-loop [70] 19.1% loop [53] 80.9% [73] 1058(7.7%) 402(2.9%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [80] 39.9% ??? [82] 22.1% -------------------------------------------------------------------- eval-prog [71] 100.0% [74] 202(1.5%) 202(1.5%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 -------------------------------------------------------------------- eval-prog [71] 100.0% [75] 202(1.5%) 202(1.5%) go .../collects/racket/private/qq-and-or.rkt:50:20 -------------------------------------------------------------------- ??? [72] 100.0% [76] 3348(24.5%) 200(1.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [79] 87.5% ??? [80] 6.6% -------------------------------------------------------------------- ??? [72] 100.0% [77] 1704(12.5%) 1224(9.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [84] 28.2% -------------------------------------------------------------------- ??? [72] 100.0% [78] 486(3.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [82] 100.0% -------------------------------------------------------------------- map [38] 7.0% ??? [76] 93.0% [79] 3150(23.0%) 966(7.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [81] 39.9% ??? [82] 14.9% bflog [83] 14.5% -------------------------------------------------------------------- ??? [76] 34.3% ->flonum [73] 65.7% [80] 642(4.7%) 642(4.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------- ??? [79] 100.0% [81] 1256(9.2%) 740(5.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [84] 41.1% -------------------------------------------------------------------- ->flonum [73] 19.7% ??? [79] 39.5% ??? [78] 40.8% [82] 1190(8.7%) 710(5.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [85] 40.3% -------------------------------------------------------------------- ??? [79] 100.0% [83] 458(3.3%) 0(0.0%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [84] 100.0% -------------------------------------------------------------------- bflog [83] 31.5% real->bigfloat [77] 33.0% bfsub [81] 35.5% [84] 1454(10.6%) 1454(10.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------- ??? [82] 100.0% [85] 480(3.5%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [86] 100.0% -------------------------------------------------------------------- ??? [85] 100.0% [86] 480(3.5%) 480(3.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------