Profiling results ----------------- Total cpu time observed: 67172ms (out of 67924ms) Number of samples taken: 293 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 98 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [30] 100.0% [1] 66754(99.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------------ ??? [30] 100.0% [2] 9798(14.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 80.5% loop [35] 12.9% get-final-combination [11] 6.6% ------------------------------------------------------------------------ loop [64] 11.6% ??? [30] 88.4% [3] 5542(8.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 50.7% iterate-egraph!5 [15] 34.3% for-loop [10] 14.9% ------------------------------------------------------------------------ loop [64] 100.0% [4] 924(1.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [56] 100.0% ------------------------------------------------------------------------ hash-ref! [56] 100.0% [5] 420(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ------------------------------------------------------------------------ hash-ref! [56] 100.0% [6] 200(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [7] 66754(99.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 7892(11.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 2812(4.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [10] 828(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 75.8% loop [17] 24.2% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 644(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [12] 420(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [56] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [13] 200(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [56] 100.0% ------------------------------------------------------------------------ for-loop [8] 100.0% [14] 7892(11.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 62.1% finalize-iter! [20] 13.3% localize-error [21] 11.7% gen-series! [22] 7.9% choose-best-alt! [23] 5.1% ------------------------------------------------------------------------ for-loop [10] 11.8% simplify [3] 35.6% simplify-expr [9] 52.6% [15] 5342(8.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 100.0% ------------------------------------------------------------------------ get-final-combination [11] 100.0% [16] 644(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [64] 100.0% ------------------------------------------------------------------------ for-loop [10] 100.0% [17] 200(0.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [24] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [15] 100.0% [18] 5342(8.0%) 442(0.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 72.6% apply-match [32] 11.6% loop [28] 7.5% ------------------------------------------------------------------------ run-iter! [14] 100.0% [19] 4898(7.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [20] 1046(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [65] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [21] 924(1.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [56] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [22] 622(0.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [23] 402(0.6%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [65] 100.0% ------------------------------------------------------------------------ loop [17] 100.0% [24] 200(0.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% ------------------------------------------------------------------------ simplify! [19] 100.0% [25] 4898(7.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ------------------------------------------------------------------------ for-loop [26] 50.0% one-iter [18] 50.0% [26] 3878(5.8%) 620(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [31] 42.0% ------------------------------------------------------------------------ gen-series! [22] 100.0% [27] 622(0.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ------------------------------------------------------------------------ one-iter [18] 100.0% [28] 402(0.6%) 200(0.3%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 50.2% ------------------------------------------------------------------------ pass [24] 100.0% [29] 200(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [34] 100.0% ------------------------------------------------------------------------ for-loop [25] 2.5% run [7] 48.5% [30] 67172(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.5% loop [35] 42.9% run-improve58 [2] 6.1% simplify [3] 2.5% ------------------------------------------------------------------------ for-loop [41] 3.1% for-loop [26] 96.9% [31] 3258(4.9%) 2656(4.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [38] 6.2% loop [64] 6.1% custom-in-set [42] 6.1% for-loop [41] 3.1% ------------------------------------------------------------------------ loop [28] 24.6% one-iter [18] 75.4% [32] 822(1.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [37] 50.9% merge-egraph-nodes! [39] 24.6% for-loop [40] 24.6% ------------------------------------------------------------------------ for-loop [27] 100.0% [33] 622(0.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [36] 100.0% ------------------------------------------------------------------------ for-loop [29] 100.0% [34] 200(0.3%) 200(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------ run-improve58 [2] 2.2% ??? [30] 97.8% [35] 58636(87.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [49] 53.5% loop [43] 44.8% loop [50] 1.4% for-loop [45] 0.3% ------------------------------------------------------------------------ taylor-alt [33] 100.0% [36] 622(0.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ------------------------------------------------------------------------ loop [64] 25.8% apply-match [32] 74.2% [37] 418(0.6%) 216(0.3%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 set [46] 48.3% loop [64] 25.8% ------------------------------------------------------------------------ match-e [31] 100.0% [38] 202(0.3%) 202(0.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ------------------------------------------------------------------------ apply-match [32] 100.0% [39] 202(0.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [47] 100.0% ------------------------------------------------------------------------ apply-match [32] 100.0% [40] 202(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [48] 100.0% ------------------------------------------------------------------------ match-e [31] 100.0% [41] 202(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [31] 100.0% ------------------------------------------------------------------------ match-e [31] 100.0% [42] 200(0.3%) 200(0.3%) custom-in-set ...acket/private/set-types.rkt:578:0 ------------------------------------------------------------------------ loop [35] 100.0% [43] 26248(39.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [50] 65.7% make-exacts* [49] 34.3% ------------------------------------------------------------------------ location-do [44] 16.1% for-loop [36] 83.9% [44] 622(0.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [51] 83.9% location-do [44] 16.1% ------------------------------------------------------------------------ loop [35] 100.0% [45] 204(0.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [52] 100.0% ------------------------------------------------------------------------ loop! [37] 100.0% [46] 202(0.3%) 202(0.3%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ merge-egraph-nodes! [39] 100.0% [47] 202(0.3%) 202(0.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ------------------------------------------------------------------------ for-loop [40] 100.0% [48] 202(0.3%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [53] 100.0% ------------------------------------------------------------------------ loop [43] 22.3% loop [35] 77.7% [49] 40356(60.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [64] 50.1% map [61] 49.9% ------------------------------------------------------------------------ loop [35] 4.7% loop [43] 95.3% [50] 18076(26.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 100.0% ------------------------------------------------------------------------ location-do [44] 100.0% [51] 622(0.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [54] 67.5% f6 [58] 32.5% ------------------------------------------------------------------------ for-loop [45] 100.0% [52] 204(0.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [55] 100.0% ------------------------------------------------------------------------ substitute-e [48] 100.0% [53] 202(0.3%) 202(0.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------ approximate9 [51] 100.0% [54] 420(0.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [56] 100.0% ------------------------------------------------------------------------ for-loop [52] 100.0% [55] 204(0.3%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [57] 100.0% ------------------------------------------------------------------------ for-loop [13] 5.0% ??? [60] 7.9% loop [54] 7.9% for-loop [12] 10.4% localize-error [21] 26.5% ??? [4] 42.3% [56] 1344(2.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [62] 42.3% f6 [58] 26.5% ??? [5] 10.4% ??? [60] 7.9% simplify [59] 7.9% ??? [6] 5.0% ------------------------------------------------------------------------ sample-double [55] 100.0% [57] 204(0.3%) 204(0.3%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ------------------------------------------------------------------------ approximate9 [51] 3.8% f6 [58] 11.3% simplify [59] 16.3% hash-ref! [56] 68.6% [58] 1346(2.0%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [61] 85.0% f6 [58] 11.3% loop [64] 3.8% ------------------------------------------------------------------------ loop [64] 32.5% hash-ref! [56] 67.5% [59] 622(0.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [58] 35.4% debug7 [63] 32.5% parse-loop12 [62] 32.2% ------------------------------------------------------------------------ hash-ref! [56] 100.0% [60] 420(0.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [56] 100.0% ------------------------------------------------------------------------ f6 [58] 2.9% loop [50] 45.9% make-exacts* [49] 51.2% [61] 39352(58.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [64] 99.4% make-multiplication-node [66] 0.6% ------------------------------------------------------------------------ simplify [59] 4.4% parse-loop12 [62] 13.3% hash-ref! [56] 82.2% [62] 1124(1.7%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [64] 82.2% parse-loop12 [62] 13.3% parse-app [67] 4.4% ------------------------------------------------------------------------ simplify [59] 100.0% [63] 202(0.3%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [65] 100.0% ------------------------------------------------------------------------ parse-loop12 [62] 0.1% make-exacts* [49] 0.1% match-e [31] 0.3% extract-alt [16] 0.3% f6 [58] 0.3% loop! [37] 0.4% map [61] 0.9% loop [64] 97.6% [64] 60618(90.2%) 200(0.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [64] 97.6% ??? [83] 1.0% loop! [37] 0.4% simplify [59] 0.3% simplify [3] 0.3% ??? [4] 0.1% ??? [90] 0.0% ------------------------------------------------------------------------ debug7 [63] 12.2% choose-best-alt! [23] 24.4% finalize-iter! [20] 63.4% [65] 1650(2.5%) 202(0.3%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [68] 63.4% atab-pick-alt8 [69] 24.4% ------------------------------------------------------------------------ map [61] 100.0% [66] 220(0.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [70]100.0% ------------------------------------------------------------------------ parse-loop12 [62] 100.0% [67] 200(0.3%) 200(0.3%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ ??? [65] 100.0% [68] 1046(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [71] 100.0% ------------------------------------------------------------------------ ??? [65] 100.0% [69] 402(0.6%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [72] 100.0% ------------------------------------------------------------------------ make-multiplication-node [66] 100.0% [70] 220(0.3%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [73] 100.0% ------------------------------------------------------------------------ for-loop [68] 100.0% [71] 1046(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [74] 78.8% loop [76] 21.2% ------------------------------------------------------------------------ atab-pick-alt8 [69] 100.0% [72] 402(0.6%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [75] 100.0% ------------------------------------------------------------------------ make-multiplication-subnode [70]100.0% [73] 220(0.3%) 220(0.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ------------------------------------------------------------------------ atab-add-altn [71] 100.0% [74] 824(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [80] 100.0% ------------------------------------------------------------------------ ??? [72] 100.0% [75] 402(0.6%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [77] 100.0% ------------------------------------------------------------------------ atab-add-altn [71] 100.0% [76] 222(0.3%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [78] 100.0% ------------------------------------------------------------------------ best-alt [75] 100.0% [77] 402(0.6%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [79] 100.0% ------------------------------------------------------------------------ loop [76] 33.3% loop [78] 66.7% [78] 222(0.3%) 222(0.3%) loop ...are/racket/collects/racket/list.rkt:431:28 loop [78] 66.7% ------------------------------------------------------------------------ loop [77] 100.0% [79] 402(0.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [80] 100.0% ------------------------------------------------------------------------ composed [79] 32.8% best-and-tied-at-points [74] 67.2% [80] 1226(1.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [81] 81.9% eval-prog [82] 18.1% ------------------------------------------------------------------------ errors [80] 100.0% [81] 1004(1.5%) 200(0.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [83] 60.0% ulp-difference [84] 20.1% ------------------------------------------------------------------------ errors [80] 100.0% [82] 222(0.3%) 222(0.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ for-loop [81] 1.0% loop [64] 99.0% [83] 59034(87.9%) 450(0.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 95.0% real->bigfloat [86] 2.6% ??? [93] 1.6% ------------------------------------------------------------------------ for-loop [81] 100.0% [84] 202(0.3%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [88] 100.0% ------------------------------------------------------------------------ ??? [83] 100.0% [85] 56100(83.5%) 636(0.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 95.4% bf* [87] 2.3% ...higher-order.rkt:373:33 [89] 0.4% ??? [88] 0.4% ------------------------------------------------------------------------ ??? [83] 100.0% [86] 1560(2.3%) 1320(2.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 15.4% ------------------------------------------------------------------------ ??? [85] 100.0% [87] 1306(1.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ------------------------------------------------------------------------ ulp-difference [84] 50.0% ??? [85] 50.0% [88] 404(0.6%) 404(0.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [85] 100.0% [89] 236(0.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ------------------------------------------------------------------------ loop [64] 1.7% bf* [87] 2.3% ??? [85] 96.0% [90] 55750(83.0%) 53252(79.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [92] 3.3% ??? [94] 0.8% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [89] 100.0% [91] 236(0.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 100.0% ------------------------------------------------------------------------ ??? [90] 100.0% [92] 1822(2.7%) 1376(2.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 24.5% ------------------------------------------------------------------------ ??? [91] 20.3% ??? [83] 79.7% [93] 1160(1.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ------------------------------------------------------------------------ ??? [90] 26.9% ??? [93] 73.1% [94] 1586(2.4%) 1120(1.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 29.4% ------------------------------------------------------------------------ real->bigfloat [86] 35.0% bfmul [92] 65.0% [95] 686(1.0%) 686(1.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [94] 100.0% [96] 466(0.7%) 466(0.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------------