Profiling results ----------------- Total cpu time observed: 15558ms (out of 15812ms) Number of samples taken: 63 (once every 247ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [18] 100.0% [1] 14416(92.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% ---------------------------------------------------------------------- loop [72] 10.6% ??? [18] 89.4% [2] 2070(13.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [13] 60.7% simplify-expr [12] 39.3% ---------------------------------------------------------------------- post-process [35] 24.2% loop [72] 75.8% [3] 1900(12.2%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [12] 100.0% ---------------------------------------------------------------------- hash-ref! [77] 100.0% [4] 1800(11.6%) 200(1.3%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [65] 64.1% simplify-node [75] 12.4% parse-loop12 [85] 12.3% ---------------------------------------------------------------------- hash-ref! [77] 100.0% [5] 896(5.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ---------------------------------------------------------------------- map [68] 20.3% loop [72] 79.7% [6] 730(4.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [77] 100.0% ---------------------------------------------------------------------- hash-ref! [77] 100.0% [7] 662(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ---------------------------------------------------------------------- hash-ref! [77] 100.0% [8] 240(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [16] 100.0% ---------------------------------------------------------------------- f6 [65] 100.0% [9] 222(1.4%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [74] 100.0% ---------------------------------------------------------------------- hash-ref! [77] 100.0% [10] 222(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [17] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 95.2% [11] 15138(97.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [18] 100.0% ---------------------------------------------------------------------- simplify [2] 30.0% completely-simplify-alt [3] 70.0% [12] 2714(17.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 91.9% loop [21] 8.1% ---------------------------------------------------------------------- simplify [2] 100.0% [13] 1256(8.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [14] 896(5.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [77] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [15] 662(4.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [77] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [16] 240(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [77] 100.0% ---------------------------------------------------------------------- ??? [10] 100.0% [17] 222(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [20] 100.0% ---------------------------------------------------------------------- for-loop [49] 4.0% run [11] 49.7% [18] 15338(98.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.0% loop [22] 27.8% run-improve58 [23] 23.2% simplify [2] 4.0% ---------------------------------------------------------------------- for-loop [13] 33.5% simplify-expr [12] 66.5% [19] 3750(24.1%) 200(1.3%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 94.7% ---------------------------------------------------------------------- for-loop [17] 100.0% [20] 222(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [77] 100.0% ---------------------------------------------------------------------- simplify-expr [12] 100.0% [21] 220(1.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% ---------------------------------------------------------------------- ??? [18] 100.0% [22] 8076(51.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [27] 52.7% make-exacts* [34] 44.8% for-loop [33] 2.5% ---------------------------------------------------------------------- ??? [18] 100.0% [23] 7262(46.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [26] 61.6% for-loop [29] 35.4% get-final-combination [32] 3.0% ---------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [24] 3550(22.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 82.0% loop [30] 18.0% ---------------------------------------------------------------------- loop [21] 100.0% [25] 220(1.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [31] 100.0% ---------------------------------------------------------------------- run-improve58 [23] 100.0% [26] 4474(28.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [35] 100.0% ---------------------------------------------------------------------- loop [22] 100.0% [27] 4254(27.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [34] 52.3% loop [37] 47.7% ---------------------------------------------------------------------- for-loop [28] 50.0% one-iter [24] 50.0% [28] 2910(18.7%) 400(2.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [41] 43.1% ---------------------------------------------------------------------- run-improve58 [23] 100.0% [29] 2568(16.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [36] 100.0% ---------------------------------------------------------------------- one-iter [24] 100.0% [30] 640(4.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ---------------------------------------------------------------------- pass [25] 100.0% [31] 220(1.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [39] 100.0% ---------------------------------------------------------------------- run-improve58 [23] 100.0% [32] 220(1.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [40] 100.0% ---------------------------------------------------------------------- loop [22] 100.0% [33] 202(1.3%) 202(1.3%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 ---------------------------------------------------------------------- loop [27] 38.1% loop [22] 61.9% [34] 5846(37.6%) 250(1.6%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [72] 51.4% map [68] 44.3% ---------------------------------------------------------------------- finalize-table! [26] 100.0% [35] 4474(28.8%) 270(1.7%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [43] 40.8% loop [72] 37.9% completely-simplify-alt [3] 10.3% localize-error [44] 5.0% ---------------------------------------------------------------------- for-loop [29] 100.0% [36] 2568(16.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [42] 72.0% finalize-iter! [45] 10.4% localize-error [44] 9.8% gen-series! [48] 7.8% ---------------------------------------------------------------------- loop [27] 100.0% [37] 2028(13.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [68] 100.0% ---------------------------------------------------------------------- loop [30] 100.0% [38] 640(4.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [41] 65.6% merge-egraph-nodes! [47] 34.4% ---------------------------------------------------------------------- for-loop [31] 100.0% [39] 220(1.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [46] 100.0% ---------------------------------------------------------------------- get-final-combination [32] 100.0% [40] 220(1.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [72] 100.0% ---------------------------------------------------------------------- apply-match [38] 10.9% for-loop [57] 17.7% for-loop [28] 71.3% [41] 2930(18.8%) 1480(9.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [51] 29.1% loop [72] 16.9% for-loop [57] 10.9% list-cartesian-product [54] 3.4% ---------------------------------------------------------------------- run-iter! [36] 100.0% [42] 1850(11.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [49] 100.0% ---------------------------------------------------------------------- post-process [35] 100.0% [43] 1826(11.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [50] 100.0% ---------------------------------------------------------------------- post-process [35] 30.4% run-iter! [36] 34.5% loop [72] 35.1% [44] 730(4.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [77] 100.0% ---------------------------------------------------------------------- run-iter! [36] 100.0% [45] 266(1.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [52] 100.0% ---------------------------------------------------------------------- argmin [39] 100.0% [46] 220(1.4%) 220(1.4%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 ---------------------------------------------------------------------- apply-match [38] 100.0% [47] 220(1.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [53] 100.0% ---------------------------------------------------------------------- run-iter! [36] 100.0% [48] 200(1.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [55] 100.0% ---------------------------------------------------------------------- simplify! [42] 100.0% [49] 1850(11.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [18] 100.0% ---------------------------------------------------------------------- f6 [65] 6.1% simplify-node [75] 6.1% for-loop [43] 87.8% [50] 1826(11.7%) 446(2.9%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [56] 74.6% loop [72] 13.1% ---------------------------------------------------------------------- match-e [41] 100.0% [51] 1054(6.8%) 240(1.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 58.3% loop [72] 19.0% ---------------------------------------------------------------------- finalize-iter! [45] 100.0% [52] 266(1.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [58] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [47] 100.0% [53] 220(1.4%) 220(1.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ---------------------------------------------------------------------- match-e [41] 100.0% [54] 200(1.3%) 200(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- gen-series! [48] 100.0% [55] 200(1.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [56] 100.0% ---------------------------------------------------------------------- for-loop [55] 9.9% loop [72] 11.8% append-map [50] 78.3% [56] 2026(13.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [59] 100.0% ---------------------------------------------------------------------- for-loop [51] 49.0% match-e [41] 51.0% [57] 1254(8.1%) 214(1.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [41] 82.9% ---------------------------------------------------------------------- ??? [52] 100.0% [58] 266(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [60] 100.0% ---------------------------------------------------------------------- taylor-alt [56] 100.0% [59] 2026(13.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [61] 100.0% ---------------------------------------------------------------------- for-loop [58] 100.0% [60] 266(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [62] 100.0% ---------------------------------------------------------------------- location-do [61] 42.9% for-loop [59] 57.1% [61] 2026(13.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [63] 57.1% location-do [61] 42.9% ---------------------------------------------------------------------- atab-add-altn [60] 100.0% [62] 266(1.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 100.0% ---------------------------------------------------------------------- location-do [61] 100.0% [63] 2026(13.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [66] 88.8% f6 [65] 11.2% ---------------------------------------------------------------------- best-and-tied-at-points [62] 100.0% [64] 266(1.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [67] 100.0% ---------------------------------------------------------------------- composed [71] 2.7% approximate9 [63] 3.7% parse-loop12 [85] 5.4% f6 [65] 7.4% hash-ref! [77] 24.5% simplify [4] 27.8% map [68] 28.5% [65] 2048(13.2%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [68] 69.9% taylor-invert [70] 10.9% f6 [65] 7.4% taylor [69] 3.7% taylor-quotient [9] 2.7% composed [71] 2.7% append-map [50] 2.7% ---------------------------------------------------------------------- approximate9 [63] 100.0% [66] 1800(11.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [77] 100.0% ---------------------------------------------------------------------- errors [64] 100.0% [67] 266(1.7%) 266(1.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- f6 [65] 25.7% loop [37] 32.6% make-exacts* [34] 41.7% [68] 6218(40.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 74.3% f6 [65] 9.4% parse-loop12 [85] 6.7% ??? [6] 3.6% simplify-node [75] 3.5% make-multiplication-node [73] 2.5% ---------------------------------------------------------------------- f6 [65] 100.0% [69] 226(1.5%) 226(1.5%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 ---------------------------------------------------------------------- f6 [65] 100.0% [70] 224(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [74] 100.0% ---------------------------------------------------------------------- f6 [65] 100.0% [71] 222(1.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [65] 100.0% ---------------------------------------------------------------------- ??? [87] 0.0% for-loop [51] 0.1% ??? [76] 0.2% parse-loop12 [85] 0.2% map [68] 0.4% extract-alt [40] 1.1% make-exacts* [34] 2.3% append-map [50] 2.3% post-process [35] 2.9% match-e [41] 3.0% loop [72] 87.6% [72] 10450(67.2%) 1468(9.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 87.6% completely-simplify-alt [3] 2.9% ??? [76] 2.6% taylor-alt [56] 2.3% simplify [2] 1.1% loop [81] 1.0% ??? [6] 0.2% ...e/case-arrow.rkt:150:50 [80] 0.1% ??? [94] 0.0% localize-error [44] 0.0% bf* [89] 0.0% ??? [91] 0.0% real->bigfloat [82] 0.0% ->flonum [79] 0.0% ---------------------------------------------------------------------- map [68] 100.0% [73] 460(3.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [78]100.0% ---------------------------------------------------------------------- taylor-quotient [9] 49.8% taylor-invert [70] 50.2% [74] 446(2.9%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [77] 100.0% ---------------------------------------------------------------------- map [68] 49.5% simplify [4] 50.5% [75] 444(2.9%) 220(1.4%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [50] 50.5% ---------------------------------------------------------------------- loop [72] 100.0% [76] 6534(42.0%) 238(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [82] 45.1% ??? [84] 25.6% loop [72] 18.3% ??? [94] 7.3% ---------------------------------------------------------------------- for-loop [20] 1.1% for-loop [16] 1.9% first-nonzero-exp [74] 3.3% for-loop [15] 4.3% for-loop [14] 5.9% localize-error [44] 8.9% ??? [86] 9.5% loop [66] 12.8% ??? [6] 20.0% ??? [83] 32.3% [77] 2530(16.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [83] 32.3% parse-loop12 [85] 21.1% simplify [4] 12.8% ??? [86] 9.5% f6 [65] 7.7% ??? [5] 5.9% ??? [7] 4.3% ??? [87] 3.3% ??? [8] 1.9% ??? [10] 1.1% ---------------------------------------------------------------------- make-multiplication-node [73] 100.0% [78] 460(3.0%) 240(1.5%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [88] 47.8% ---------------------------------------------------------------------- loop [72] 100.0% [79] 218(1.4%) 218(1.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ---------------------------------------------------------------------- loop [72] 100.0% [80] 200(1.3%) 200(1.3%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- loop [72] 100.0% [81] 200(1.3%) 200(1.3%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- loop [72] 20.7% ??? [76] 79.3% [82] 3716(23.9%) 3284(21.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 11.6% ---------------------------------------------------------------------- hash-ref! [77] 100.0% [83] 1800(11.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [77] 100.0% ---------------------------------------------------------------------- ??? [76] 100.0% [84] 1674(10.8%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [89] 57.9% ...higher-order.rkt:373:33 [90] 30.1% ??? [91] 11.9% ---------------------------------------------------------------------- parse-loop12 [85] 5.2% simplify [4] 5.2% map [68] 38.4% hash-ref! [77] 51.2% [85] 1426(9.2%) 474(3.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [72] 51.2% f6 [65] 10.4% parse-loop12 [85] 5.2% ---------------------------------------------------------------------- hash-ref! [77] 100.0% [86] 1354(8.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [77] 100.0% ---------------------------------------------------------------------- hash-ref! [77] 100.0% [87] 252(1.6%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 loop [72] 100.0% ---------------------------------------------------------------------- make-multiplication-subnode [78]100.0% [88] 220(1.4%) 220(1.4%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ---------------------------------------------------------------------- loop [72] 20.9% ??? [84] 79.1% [89] 1226(7.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [90] 504(3.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 100.0% ---------------------------------------------------------------------- ??? [84] 12.1% loop [72] 13.5% bf* [89] 74.4% [91] 1648(10.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 86.5% ??? [95] 13.5% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [90] 100.0% [92] 504(3.2%) 244(1.6%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 51.6% ---------------------------------------------------------------------- ??? [91] 100.0% [93] 1426(9.2%) 970(6.2%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 32.0% ---------------------------------------------------------------------- ??? [92] 21.3% ??? [76] 39.1% loop [72] 39.6% [94] 1218(7.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ---------------------------------------------------------------------- ??? [91] 15.4% ??? [94] 84.6% [95] 1440(9.3%) 698(4.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 51.5% ---------------------------------------------------------------------- real->bigfloat [82] 48.6% bfmul [93] 51.4% [96] 888(5.7%) 888(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [95] 100.0% [97] 742(4.8%) 490(3.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 34.0% ---------------------------------------------------------------------- ??? [97] 100.0% [98] 252(1.6%) 252(1.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------