Profiling results ----------------- Total cpu time observed: 17650ms (out of 17996ms) Number of samples taken: 72 (once every 245ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [23] 100.0% [1] 16608(94.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [23] 100.0% [2] 9530(54.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 95.8% get-final-combination [9] 4.2% ---------------------------------------------------------------------- loop [82] 5.3% ??? [23] 94.7% [3] 7638(43.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 51.0% iterate-egraph!5 [11] 27.8% for-loop [8] 21.2% ---------------------------------------------------------------------- [4] 220(1.2%) 220(1.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 16608(94.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [23] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 9128(51.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 3892(22.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 1622(9.2%) 202(1.1%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 75.2% debug7 [26] 12.3% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 402(2.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [12] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [10] 9128(51.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 81.5% gen-series! [15] 7.0% finalize-iter! [16] 6.8% localize-error [17] 4.7% ---------------------------------------------------------------------- for-loop [8] 16.9% simplify [3] 29.4% simplify-expr [7] 53.8% [11] 7236(41.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [14] 94.5% debug7 [26] 2.8% debug-print [59] 2.8% ---------------------------------------------------------------------- get-final-combination [9] 100.0% [12] 402(2.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [82] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [13] 7436(42.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [14] 6836(38.7%) 242(1.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [19] 66.1% loop [20] 21.0% apply-match [24] 9.4% ---------------------------------------------------------------------- run-iter! [10] 100.0% [15] 640(3.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [21] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [16] 624(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [22] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [17] 428(2.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [75] 100.0% ---------------------------------------------------------------------- simplify! [13] 100.0% [18] 7436(42.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [23] 97.3% debug7 [26] 2.7% ---------------------------------------------------------------------- for-loop [19] 47.5% one-iter [14] 52.5% [19] 4516(25.6%) 824(4.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [19] 47.5% match-e [30] 38.6% ??? [57] 2.2% ---------------------------------------------------------------------- one-iter [14] 100.0% [20] 1434(8.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [24] 100.0% ---------------------------------------------------------------------- gen-series! [15] 100.0% [21] 640(3.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [25] 100.0% ---------------------------------------------------------------------- finalize-iter! [16] 100.0% [22] 624(3.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [27] 67.6% atab-add-altns [28] 32.4% ---------------------------------------------------------------------- for-loop [18] 14.6% run [5] 41.5% [23] 17430(98.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.5% loop [29] 22.7% run-improve58 [2] 21.2% simplify [3] 14.6% ---------------------------------------------------------------------- one-iter [14] 31.0% loop [20] 69.0% [24] 2078(11.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [30] 29.9% for-loop [33] 21.2% mk-enode! [49] 10.3% merge-egraph-nodes! [40] 9.7% loop! [35] 9.6% update-leader! [51] 9.6% substitute-e [41] 9.6% ---------------------------------------------------------------------- for-loop [21] 100.0% [25] 640(3.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [31] 100.0% ---------------------------------------------------------------------- for-loop [18] 33.3% for-loop [8] 33.3% iterate-egraph!5 [11] 33.3% [26] 600(3.4%) 200(1.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [34] 66.7% ---------------------------------------------------------------------- ??? [22] 100.0% [27] 422(2.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [32] 100.0% ---------------------------------------------------------------------- ??? [22] 100.0% [28] 202(1.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [32] 100.0% ---------------------------------------------------------------------- ??? [23] 100.0% [29] 7900(44.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [44] 63.5% loop [36] 36.5% ---------------------------------------------------------------------- apply-match [24] 10.3% for-loop [45] 20.0% for-loop [19] 69.7% [30] 4112(23.3%) 1642(9.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [37] 40.8% for-loop [45] 9.7% list-cartesian-product [47] 7.3% custom-in-set [42] 4.9% constant? [43] 2.4% ---------------------------------------------------------------------- taylor-alt [25] 100.0% [31] 640(3.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% ---------------------------------------------------------------------- atab-add-altns [28] 32.4% for-loop [27] 67.6% [32] 624(3.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [39] 100.0% ---------------------------------------------------------------------- apply-match [24] 100.0% [33] 440(2.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [40] 55.0% substitute-e [41] 45.0% ---------------------------------------------------------------------- debug7 [26] 100.0% [34] 400(2.3%) 400(2.3%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ---------------------------------------------------------------------- loop [82] 50.0% apply-match [24] 50.0% [35] 200(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [82] 100.0% ---------------------------------------------------------------------- loop [29] 100.0% [36] 2880(16.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [46] 55.8% make-exacts* [44] 44.2% ---------------------------------------------------------------------- match-e [30] 100.0% [37] 2290(13.0%) 602(3.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [45] 45.1% list-cartesian-product [47] 13.6% foldl [53] 9.7% loop [82] 9.7% ---------------------------------------------------------------------- for-loop [31] 41.3% location-do [38] 58.7% [38] 640(3.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [38] 58.7% approximate9 [48] 41.3% ---------------------------------------------------------------------- atab-add-altn [32] 100.0% [39] 624(3.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [50] 67.6% for-loop [54] 32.4% ---------------------------------------------------------------------- apply-match [24] 45.5% for-loop [33] 54.5% [40] 444(2.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [52] 54.5% update-leader! [51] 45.5% ---------------------------------------------------------------------- for-loop [33] 49.7% apply-match [24] 50.3% [41] 398(2.3%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [49] 100.0% ---------------------------------------------------------------------- match-e [30] 100.0% [42] 202(1.1%) 202(1.1%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- match-e [30] 100.0% [43] 200(1.1%) 200(1.1%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- loop [36] 20.2% loop [29] 79.8% [44] 6292(35.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [64] 59.2% loop [82] 37.3% eval-prog [56] 3.5% ---------------------------------------------------------------------- match-e [30] 32.5% for-loop [37] 67.5% [45] 1844(10.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [30] 89.2% ??? [57] 10.8% ---------------------------------------------------------------------- loop [36] 100.0% [46] 1608(9.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [64] 100.0% ---------------------------------------------------------------------- match-e [30] 24.3% for-loop [37] 25.7% list-cartesian-product [47] 50.0% [47] 822(4.7%) 822(4.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [47] 50.0% ---------------------------------------------------------------------- location-do [38] 100.0% [48] 640(3.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [55] 68.8% debug-print [59] 31.2% ---------------------------------------------------------------------- apply-match [24] 35.0% substitute-e [41] 65.0% [49] 612(3.5%) 612(3.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [50] 422(2.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [56] 52.1% for-loop [63] 47.9% ---------------------------------------------------------------------- apply-match [24] 49.8% merge-egraph-nodes! [40] 50.2% [51] 402(2.3%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [58] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [52] 242(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [60] 100.0% ---------------------------------------------------------------------- for-loop [37] 100.0% [53] 222(1.3%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [61] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [54] 202(1.1%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [62] 100.0% ---------------------------------------------------------------------- simplify [77] 3.7% approximate9 [48] 12.0% f6 [55] 16.7% map [64] 18.3% hash-ref! [75] 49.3% [55] 868(4.9%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [64] 79.6% f6 [55] 16.7% loop [82] 3.7% ---------------------------------------------------------------------- errors [50] 49.8% make-exacts* [44] 50.2% [56] 442(2.5%) 220(1.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [75] 50.2% ---------------------------------------------------------------------- for-loop [45] 49.8% for-loop [19] 50.2% [57] 402(2.3%) 200(1.1%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [66] 50.2% ---------------------------------------------------------------------- update-leader! [51] 100.0% [58] 402(2.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [65] 100.0% ---------------------------------------------------------------------- approximate9 [48] 50.0% iterate-egraph!5 [11] 50.0% [59] 400(2.3%) 200(1.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [67] 50.0% ---------------------------------------------------------------------- for-loop [52] 100.0% [60] 242(1.4%) 242(1.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- foldl [53] 100.0% [61] 222(1.3%) 222(1.3%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- for-loop [54] 100.0% [62] 202(1.1%) 202(1.1%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- errors [50] 100.0% [63] 202(1.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [83] 100.0% ---------------------------------------------------------------------- f6 [55] 14.0% loop [46] 25.9% make-exacts* [44] 60.1% [64] 6198(35.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [82] 82.7% ??? [68] 6.9% taylor-sqrt [71] 3.5% ??? [83] 3.3% f6 [55] 3.0% make-multiplication-node [70] 0.6% ---------------------------------------------------------------------- for-loop [58] 100.0% [65] 402(2.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [69] 100.0% ---------------------------------------------------------------------- ??? [57] 100.0% [66] 202(1.1%) 202(1.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- debug-print [59] 100.0% [67] 200(1.1%) 200(1.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- map [64] 41.4% loop [82] 58.6% [68] 428(2.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [75] 100.0% ---------------------------------------------------------------------- for-loop [65] 100.0% [69] 402(2.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [72] 100.0% ---------------------------------------------------------------------- map [64] 100.0% [70] 222(1.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [73]100.0% ---------------------------------------------------------------------- map [64] 100.0% [71] 218(1.2%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [74] 100.0% ---------------------------------------------------------------------- hash-update! [69] 100.0% [72] 402(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [76] 100.0% ---------------------------------------------------------------------- make-multiplication-node [70] 100.0% [73] 222(1.3%) 222(1.3%) make-multiplication-subnode ...re/reduce.rkt:231:0 ---------------------------------------------------------------------- taylor-sqrt [71] 100.0% [74] 218(1.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [75] 100.0% ---------------------------------------------------------------------- eval-prog [56] 4.3% localize-error [17] 14.3% loop [82] 21.3% first-nonzero-exp [74] 25.1% ??? [68] 35.0% [75] 868(4.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [80] 35.0% simplify [77] 25.1% ??? [79] 21.3% f6 [55] 14.3% bigfloat-hash [78] 4.3% ---------------------------------------------------------------------- ??? [72] 100.0% [76] 402(2.3%) 402(2.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- hash-ref! [75] 49.5% loop [82] 50.5% [77] 440(2.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [55] 50.5% parse-loop12 [80] 49.5% ---------------------------------------------------------------------- hash-ref! [75] 100.0% [78] 222(1.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [81] 100.0% ---------------------------------------------------------------------- hash-ref! [75] 100.0% [79] 222(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [82] 100.0% ---------------------------------------------------------------------- simplify [77] 33.7% hash-ref! [75] 66.3% [80] 646(3.7%) 218(1.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [82] 66.3% ---------------------------------------------------------------------- bigfloat-hash [78] 100.0% [81] 222(1.3%) 222(1.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- make-exacts* [44] 0.0% map [64] 0.2% loop! [35] 0.7% for-loop [37] 1.2% parse-loop12 [80] 1.3% extract-alt [12] 2.2% f6 [55] 2.4% ??? [79] 2.4% loop [82] 89.4% [82] 9172(52.0%) 422(2.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [82] 89.4% hash-ref! [75] 2.4% simplify [77] 2.4% simplify [3] 2.2% ??? [68] 0.9% ??? [89] 0.4% loop! [35] 0.4% ??? [83] 0.3% bf* [87] 0.1% ---------------------------------------------------------------------- for-loop [63] 2.6% map [64] 2.6% loop [82] 94.9% [83] 7880(44.6%) 226(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 55.6% real->bigfloat [85] 19.8% ...e/case-arrow.rkt:150:50 [86] 12.0% ??? [92] 9.7% ---------------------------------------------------------------------- ??? [83] 100.0% [84] 4380(24.8%) 202(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [87] 65.2% ...higher-order.rkt:373:33 [88] 18.6% ??? [89] 11.6% ---------------------------------------------------------------------- ??? [83] 100.0% [85] 1562(8.8%) 1290(7.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 17.4% ---------------------------------------------------------------------- ??? [83] 100.0% [86] 948(5.4%) 948(5.4%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- loop [82] 6.8% ??? [84] 93.2% [87] 3064(17.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [88] 814(4.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 100.0% ---------------------------------------------------------------------- loop [82] 5.8% ??? [84] 13.4% bf* [87] 80.8% [89] 3792(21.5%) 220(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [91] 87.4% ??? [93] 6.8% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [88] 100.0% [90] 814(4.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ---------------------------------------------------------------------- ??? [89] 100.0% [91] 3314(18.8%) 3106(17.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 6.3% ---------------------------------------------------------------------- ??? [83] 48.4% ??? [90] 51.6% [92] 1578(8.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ---------------------------------------------------------------------- ??? [89] 14.1% ??? [92] 85.9% [93] 1836(10.4%) 816(4.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 55.6% ---------------------------------------------------------------------- bfmul [91] 43.3% real->bigfloat [85] 56.7% [94] 480(2.7%) 480(2.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [93] 100.0% [95] 1020(5.8%) 476(2.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 53.3% ---------------------------------------------------------------------- ??? [95] 100.0% [96] 544(3.1%) 544(3.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------