Profiling results ----------------- Total cpu time observed: 18308ms (out of 18528ms) Number of samples taken: 76 (once every 241ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [32] 100.0% [1] 17284(94.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [32] 100.0% [2] 8138(44.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 61.1% finalize-table! [12] 33.1% loop [37] 3.3% get-final-combination [15] 2.5% ----------------------------------------------------------------------- loop [74] 5.0% ??? [32] 95.0% [3] 4080(22.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 58.0% iterate-egraph!5 [16] 25.2% for-loop [13] 16.7% ----------------------------------------------------------------------- loop [74] 100.0% [4] 1448(7.9%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 49.8% f94 [56] 50.2% [5] 442(2.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [50] 50.2% first-nonzero-exp [14] 49.8% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [6] 220(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [7] 218(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [8] 202(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [74] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 17284(94.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 4974(27.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 37.9% simplify [3] 62.1% [11] 3816(20.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 2694(14.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [13] 682(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- taylor-invert [5] 100.0% [14] 220(1.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 202(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% ----------------------------------------------------------------------- for-loop [13] 12.3% simplify [3] 18.6% simplify-expr [11] 69.0% [16] 5528(30.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% ----------------------------------------------------------------------- for-loop [10] 100.0% [17] 4974(27.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 78.0% finalize-iter! [23] 12.8% gen-series! [24] 9.2% ----------------------------------------------------------------------- finalize-table! [12] 100.0% [18] 2694(14.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [74] 53.7% for-loop [22] 31.3% ??? [29] 7.5% localize-error [25] 7.4% ----------------------------------------------------------------------- get-final-combination [15] 100.0% [19] 202(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [74] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [20] 5528(30.2%) 200(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 85.5% loop [31] 7.3% apply-match [35] 3.6% ----------------------------------------------------------------------- run-iter! [17] 100.0% [21] 3878(21.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ----------------------------------------------------------------------- post-process [18] 100.0% [22] 844(4.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [28] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [23] 636(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [24] 460(2.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ----------------------------------------------------------------------- post-process [18] 100.0% [25] 200(1.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [20] 50.0% [26] 4726(25.8%) 810(4.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [38] 41.4% ----------------------------------------------------------------------- simplify! [21] 100.0% [27] 3878(21.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [28] 844(4.6%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [33] 100.0% ----------------------------------------------------------------------- post-process [18] 24.1% finalize-iter! [23] 75.9% [29] 838(4.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 76.4% atab-add-altns [36] 23.6% ----------------------------------------------------------------------- gen-series! [24] 100.0% [30] 460(2.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ----------------------------------------------------------------------- one-iter [20] 100.0% [31] 402(2.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% ----------------------------------------------------------------------- for-loop [27] 7.1% run [9] 43.7% [32] 18308(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.7% loop [37] 29.4% run-improve58 [2] 19.8% simplify [3] 7.1% ----------------------------------------------------------------------- for-loop [30] 35.3% append-map [28] 64.7% [33] 1304(7.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [34] 640(3.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ----------------------------------------------------------------------- one-iter [20] 33.2% loop [31] 66.8% [35] 602(3.3%) 202(1.1%) apply-match .../herbie/src/core/simplify.rkt:122:2 reduce-to-single! [41] 33.2% match-e [38] 33.2% ----------------------------------------------------------------------- ??? [29] 100.0% [36] 198(1.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [40] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.6% ??? [32] 97.4% [37] 10438(57.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [47] 55.9% loop [42] 42.2% loop [48] 2.0% ----------------------------------------------------------------------- apply-match [35] 4.9% for-loop [49] 10.7% for-loop [26] 84.4% [38] 4116(22.5%) 3030(16.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [43] 29.6% filter [46] 4.9% for-loop [49] 2.7% ----------------------------------------------------------------------- taylor-alt [33] 100.0% [39] 1304(7.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ----------------------------------------------------------------------- atab-add-altns [36] 23.6% for-loop [34] 76.4% [40] 838(4.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% ----------------------------------------------------------------------- apply-match [35] 100.0% [41] 200(1.1%) 200(1.1%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ----------------------------------------------------------------------- loop [37] 100.0% [42] 4404(24.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [48] 58.0% make-exacts* [47] 27.0% eval-prog [57] 15.0% ----------------------------------------------------------------------- match-e [38] 100.0% [43] 1548(8.5%) 220(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 55.8% curry* [53] 15.6% list-cartesian-product [54] 14.3% ----------------------------------------------------------------------- for-loop [39] 34.1% location-do [44] 65.9% [44] 1304(7.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [44] 65.9% approximate9 [51] 25.8% simplify [50] 8.3% ----------------------------------------------------------------------- atab-add-altn [40] 100.0% [45] 838(4.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [52] 75.9% for-loop [55] 24.1% ----------------------------------------------------------------------- match-e [38] 100.0% [46] 200(1.1%) 200(1.1%) filter ...t/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------- loop [42] 16.9% loop [37] 83.1% [47] 7018(38.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [74] 56.9% map [62] 39.2% eval-prog [57] 3.8% ----------------------------------------------------------------------- loop [37] 7.4% loop [42] 92.6% [48] 2760(15.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [62] 100.0% ----------------------------------------------------------------------- match-e [38] 20.4% for-loop [43] 79.6% [49] 1086(5.9%) 202(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 81.4% ----------------------------------------------------------------------- taylor-invert [5] 20.9% location-do [44] 38.0% hash-ref! [70] 41.2% [50] 1064(5.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [56] 79.5% parse-loop50 [72] 20.5% ----------------------------------------------------------------------- location-do [44] 100.0% [51] 900(4.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [56] 51.3% loop [58] 48.7% ----------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [52] 636(3.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [59] 62.3% eval-prog [57] 37.7% ----------------------------------------------------------------------- for-loop [43] 100.0% [53] 242(1.3%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [60] 100.0% ----------------------------------------------------------------------- list-cartesian-product [54] 50.0% for-loop [43] 50.0% [54] 222(1.2%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [54] 50.0% for-loop [61] 50.0% ----------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [55] 202(1.1%) 202(1.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- f94 [56] 12.0% approximate9 [51] 12.0% hash-ref! [70] 15.6% map [62] 28.5% simplify [50] 32.0% [56] 1286(7.0%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [62] 66.9% f94 [56] 12.0% gather-multiplicative-terms [63] 9.1% taylor [65] 6.2% taylor-invert [5] 5.8% ----------------------------------------------------------------------- errors [52] 20.5% make-exacts* [47] 22.9% loop [42] 56.5% [57] 1168(6.4%) 508(2.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [70] 34.2% inductor [64] 22.3% ----------------------------------------------------------------------- approximate9 [51] 100.0% [58] 438(2.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ----------------------------------------------------------------------- errors [52] 100.0% [59] 396(2.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [76] 100.0% ----------------------------------------------------------------------- curry* [53] 100.0% [60] 242(1.3%) 242(1.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------- list-cartesian-product [54] 100.0% [61] 222(1.2%) 222(1.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- f94 [56] 18.9% make-exacts* [47] 40.5% loop [48] 40.6% [62] 6800(37.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [74] 81.1% f94 [56] 9.5% simplify-node [67] 3.3% parse-loop50 [72] 3.2% ??? [69] 2.9% ----------------------------------------------------------------------- f94 [56] 100.0% [63] 404(2.2%) 204(1.1%) gather-multiplicative-terms ...re/reduce.rkt:107:0 compose [68] 49.5% ----------------------------------------------------------------------- eval-prog [57] 20.0% inductor [64] 80.0% [64] 260(1.4%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [64] 80.0% integer->bigfloat [66] 20.0% ----------------------------------------------------------------------- f94 [56] 100.0% [65] 240(1.3%) 240(1.3%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 ----------------------------------------------------------------------- inductor [64] 100.0% [66] 260(1.4%) 260(1.4%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ----------------------------------------------------------------------- map [62] 100.0% [67] 222(1.2%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [71] 100.0% ----------------------------------------------------------------------- gather-multiplicative-terms [63]100.0% [68] 200(1.1%) 200(1.1%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- map [62] 33.3% loop [74] 66.7% [69] 200(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 100.0% ----------------------------------------------------------------------- localize-error [25] 4.8% first-nonzero-exp [14] 7.1% ??? [6] 7.1% ??? [7] 10.5% ??? [69] 14.5% loop [74] 14.6% loop [58] 17.6% eval-prog [57] 23.9% [70] 1038(5.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [73] 23.9% simplify [50] 17.6% ??? [8] 14.6% parse-loop50 [72] 14.5% ??? [7] 10.5% ??? [6] 7.1% taylor-invert [5] 7.1% f94 [56] 4.8% ----------------------------------------------------------------------- simplify-node [67] 100.0% [71] 222(1.2%) 222(1.2%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 ----------------------------------------------------------------------- hash-ref! [70] 31.3% simplify [50] 34.2% map [62] 34.5% [72] 638(3.5%) 438(2.4%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [74] 31.3% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [73] 400(2.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [75] 100.0% ----------------------------------------------------------------------- parse-loop50 [72] 0.1% make-exacts* [47] 0.5% extract-alt [19] 1.7% ??? [8] 1.7% map [62] 2.1% post-process [18] 3.1% loop [74] 90.7% [74] 11562(63.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [74] 90.7% completely-simplify-alt [4] 3.1% ??? [76] 2.6% hash-ref! [70] 1.7% simplify [3] 1.7% ??? [69] 0.1% ??? [83] 0.0% ->flonum [79] 0.0% ----------------------------------------------------------------------- bigfloat-hash [73] 100.0% [75] 400(2.2%) 400(2.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- for-loop [59] 4.1% loop [74] 95.9% [76] 9630(52.6%) 722(3.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [77] 53.2% real->bigfloat [78] 22.2% ??? [86] 13.0% ->flonum [79] 4.1% ----------------------------------------------------------------------- ??? [76] 100.0% [77] 5120(28.0%) 216(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [83] 66.2% ...higher-order.rkt:373:33 [80] 19.2% bf* [81] 10.4% ----------------------------------------------------------------------- ??? [76] 100.0% [78] 2140(11.7%) 1046(5.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [89] 51.1% ----------------------------------------------------------------------- loop [74] 41.1% ??? [76] 58.9% [79] 672(3.7%) 276(1.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [82] 58.9% ----------------------------------------------------------------------- ??? [77] 100.0% [80] 982(5.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [84] 100.0% ----------------------------------------------------------------------- ??? [77] 100.0% [81] 530(2.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [83] 100.0% ----------------------------------------------------------------------- ->flonum [79] 100.0% [82] 396(2.2%) 396(2.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- loop [74] 4.9% bf* [81] 12.9% ??? [77] 82.3% [83] 4122(22.5%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [85] 57.6% ??? [88] 23.5% bfabs [87] 18.8% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [80] 100.0% [84] 982(5.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [86] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [85] 2376(13.0%) 1264(6.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 46.8% ----------------------------------------------------------------------- ??? [84] 44.0% ??? [76] 56.0% [86] 2234(12.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [88] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [87] 776(4.2%) 776(4.2%) bfabs ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- ??? [83] 30.3% ??? [86] 69.7% [88] 3204(17.5%) 1906(10.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [90] 40.5% ----------------------------------------------------------------------- real->bigfloat [78] 49.6% bfdiv [85] 50.4% [89] 2206(12.0%) 2206(12.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [88] 100.0% [90] 1298(7.1%) 1298(7.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 -----------------------------------------------------------------------