Profiling results ----------------- Total cpu time observed: 22776ms (out of 23348ms) Number of samples taken: 95 (once every 240ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 101 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [34] 100.0% [1] 22776(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [34] 100.0% [2] 7616(33.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 69.5% finalize-table! [12] 22.1% loop [37] 5.8% get-final-combination [17] 2.7% ----------------------------------------------------------------------- loop [58] 4.1% ??? [34] 95.9% [3] 4874(21.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 74.0% for-loop [13] 13.7% iterate-egraph!5 [18] 12.4% ----------------------------------------------------------------------- loop [58] 100.0% [4] 1046(4.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ----------------------------------------------------------------------- hash-ref! [60] 100.0% [5] 450(2.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [58] 100.0% ----------------------------------------------------------------------- hash-ref! [60] 100.0% [6] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [60] 100.0% [7] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [16] 100.0% ----------------------------------------------------------------------- hash-ref! [60] 100.0% [8] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 22776(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 5294(23.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 22.5% simplify [3] 77.5% [11] 4652(20.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 1682(7.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [20] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [13] 666(2.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [14] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [60] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [15] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [60] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [16] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [66] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 202(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ----------------------------------------------------------------------- simplify [3] 10.2% for-loop [13] 11.2% simplify-expr [11] 78.6% [18] 5920(26.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 96.6% debug-print [27] 3.4% ----------------------------------------------------------------------- for-loop [10] 100.0% [19] 5294(23.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 88.3% gen-series! [24] 8.0% finalize-iter! [28] 3.8% ----------------------------------------------------------------------- finalize-table! [12] 100.0% [20] 1682(7.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [58] 62.2% for-loop [25] 24.9% localize-error [26] 13.0% ----------------------------------------------------------------------- get-final-combination [17] 100.0% [21] 202(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [58] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [22] 5720(25.1%) 242(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 57.7% loop [31] 34.2% apply-match [35] 3.9% ----------------------------------------------------------------------- run-iter! [19] 100.0% [23] 4672(20.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [19] 100.0% [24] 422(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ----------------------------------------------------------------------- post-process [20] 100.0% [25] 418(1.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [33] 100.0% ----------------------------------------------------------------------- post-process [20] 100.0% [26] 218(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [60] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [27] 200(0.9%) 200(0.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- run-iter! [19] 100.0% [28] 200(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [88] 100.0% ----------------------------------------------------------------------- simplify! [23] 100.0% [29] 4672(20.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 100.0% ----------------------------------------------------------------------- for-loop [30] 50.0% one-iter [22] 50.0% [30] 3302(14.5%) 1006(4.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 50.0% match-e [38] 34.8% ----------------------------------------------------------------------- one-iter [22] 100.0% [31] 1954(8.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% ----------------------------------------------------------------------- gen-series! [24] 100.0% [32] 422(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ----------------------------------------------------------------------- for-loop [25] 100.0% [33] 418(1.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [36] 100.0% ----------------------------------------------------------------------- for-loop [29] 6.8% run [9] 46.6% [34] 22776(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.6% loop [37] 33.3% run-improve58 [2] 13.3% simplify [3] 6.8% ----------------------------------------------------------------------- one-iter [22] 10.2% loop [31] 89.8% [35] 2176(9.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [38] 59.2% for-loop [40] 20.2% update-leader! [45] 10.4% merge-egraph-nodes! [41] 10.2% ----------------------------------------------------------------------- append-map [33] 49.8% for-loop [32] 50.2% [36] 840(3.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.8% ??? [34] 97.2% [37] 15598(68.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [42] 50.7% make-exacts* [47] 37.0% loop [48] 12.3% ----------------------------------------------------------------------- for-loop [49] 15.9% apply-match [35] 25.7% for-loop [30] 58.5% [38] 3584(15.7%) 2334(10.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [43] 39.0% for-loop [49] 11.8% ----------------------------------------------------------------------- taylor-alt [36] 100.0% [39] 840(3.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ----------------------------------------------------------------------- apply-match [35] 100.0% [40] 440(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [62] 50.0% substitute-e [46] 50.0% ----------------------------------------------------------------------- apply-match [35] 100.0% [41] 222(1.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [45] 100.0% ----------------------------------------------------------------------- loop [37] 100.0% [42] 7908(34.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [48] 59.5% make-exacts* [47] 37.7% eval-prog [55] 2.8% ----------------------------------------------------------------------- match-e [38] 100.0% [43] 1672(7.3%) 624(2.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 37.3% list-cartesian-product [52] 13.3% loop [58] 12.1% ----------------------------------------------------------------------- location-do [44] 25.0% for-loop [39] 75.0% [44] 840(3.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [50] 75.0% location-do [44] 25.0% ----------------------------------------------------------------------- merge-egraph-nodes! [41] 49.6% apply-match [35] 50.4% [45] 448(2.0%) 222(1.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [51] 50.4% ----------------------------------------------------------------------- for-loop [40] 100.0% [46] 220(1.0%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [53] 100.0% ----------------------------------------------------------------------- loop [42] 34.1% loop [37] 65.9% [47] 8756(38.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [58] 50.2% map [54] 41.9% eval-prog [55] 7.9% ----------------------------------------------------------------------- loop [37] 28.9% loop [42] 71.1% [48] 6620(29.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [54] 100.0% ----------------------------------------------------------------------- for-loop [43] 49.3% match-e [38] 50.7% [49] 1266(5.6%) 202(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 84.0% ----------------------------------------------------------------------- location-do [44] 100.0% [50] 840(3.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [56] 73.8% f94 [74] 26.2% ----------------------------------------------------------------------- update-leader! [45] 100.0% [51] 226(1.0%) 226(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 ----------------------------------------------------------------------- list-cartesian-product [52] 50.0% for-loop [43] 50.0% [52] 222(1.0%) 222(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [52] 50.0% ----------------------------------------------------------------------- substitute-e [46] 100.0% [53] 220(1.0%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [57] 100.0% ----------------------------------------------------------------------- f94 [74] 3.9% make-exacts* [47] 34.2% loop [48] 61.8% [54] 10706(47.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [58] 85.4% ??? [59] 10.6% f94 [74] 3.9% ----------------------------------------------------------------------- loop [42] 24.2% make-exacts* [47] 75.8% [55] 918(4.0%) 246(1.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [60] 73.2% ----------------------------------------------------------------------- approximate9 [50] 100.0% [56] 620(2.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [60] 100.0% ----------------------------------------------------------------------- mk-enode! [53] 100.0% [57] 220(1.0%) 220(1.0%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- loop! [62] 0.2% make-exacts* [47] 0.4% extract-alt [21] 0.6% map [54] 0.8% for-loop [43] 1.3% post-process [20] 1.9% ??? [5] 2.9% loop [58] 92.0% [58] 15662(68.8%) 224(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [58] 92.0% hash-ref! [60] 2.9% completely-simplify-alt [4] 1.9% ??? [59] 1.0% simplify [3] 0.6% loop! [62] 0.2% ->flonum [61] 0.1% ----------------------------------------------------------------------- map [54] 8.2% loop [58] 91.8% [59] 13846(60.8%) 512(2.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [63] 47.3% real->bigfloat [64] 32.4% ??? [82] 16.6% ----------------------------------------------------------------------- for-loop [15] 2.1% ??? [68] 2.1% for-loop [14] 6.2% localize-error [26] 14.4% ??? [67] 15.4% loop [56] 15.4% loop [58] 19.9% eval-prog [55] 24.6% [60] 1510(6.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [65] 24.6% ??? [5] 19.9% ??? [67] 15.4% parse-loop50 [73] 14.4% simplify [66] 13.3% ??? [6] 6.2% ??? [68] 2.1% ??? [8] 2.1% ??? [7] 2.1% ----------------------------------------------------------------------- loop [58] 100.0% [61] 610(2.7%) 610(2.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ----------------------------------------------------------------------- for-loop [40] 33.3% loop [58] 66.7% [62] 220(1.0%) 220(1.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [58] 66.7% ----------------------------------------------------------------------- ??? [59] 100.0% [63] 6546(28.7%) 746(3.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [76] 26.2% ...higher-order.rkt:373:33 [69] 24.0% ...higher-order.rkt:369:33 [70] 19.5% bf* [71] 18.9% ----------------------------------------------------------------------- ??? [59] 100.0% [64] 4490(19.7%) 4038(17.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [87] 10.1% ----------------------------------------------------------------------- hash-ref! [60] 100.0% [65] 672(3.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [72] 67.0% bfcanonicalize [75] 33.0% ----------------------------------------------------------------------- for-loop [16] 35.2% hash-ref! [60] 64.8% [66] 620(2.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [84] 35.2% parse-loop50 [73] 32.6% f94 [74] 32.3% ----------------------------------------------------------------------- hash-ref! [60] 100.0% [67] 620(2.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [60] 100.0% ----------------------------------------------------------------------- hash-ref! [60] 100.0% [68] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [60] 100.0% ----------------------------------------------------------------------- ??? [63] 100.0% [69] 1568(6.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [77] 100.0% ----------------------------------------------------------------------- ??? [63] 100.0% [70] 1276(5.6%) 218(1.0%) ...higher-order.rkt:369:33 (unknown source) ??? [77] 52.0% ??? [82] 30.9% ----------------------------------------------------------------------- ??? [63] 100.0% [71] 1240(5.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [76] 100.0% ----------------------------------------------------------------------- bigfloat-hash [65] 100.0% [72] 450(2.0%) 450(2.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- simplify [66] 48.1% hash-ref! [60] 51.9% [73] 420(1.8%) 0(0.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [79] 51.9% make-keyword-procedure [80] 48.1% ----------------------------------------------------------------------- approximate9 [50] 10.5% simplify [66] 11.9% f94 [74] 31.4% map [54] 46.2% [74] 420(1.8%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [54] 46.2% f94 [74] 31.4% composed [81] 11.9% taylor [78] 10.5% ----------------------------------------------------------------------- bigfloat-hash [65] 100.0% [75] 222(1.0%) 222(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- bf* [71] 41.9% ??? [63] 58.1% [76] 2956(13.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [83] 76.3% ??? [86] 14.5% bfsqr [85] 9.2% ----------------------------------------------------------------------- ...higher-order.rkt:369:33 [70] 29.7% ...higher-order.rkt:373:33 [69] 70.3% [77] 2232(9.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [82] 100.0% ----------------------------------------------------------------------- f94 [74] 100.0% [78] 220(1.0%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [84] 100.0% ----------------------------------------------------------------------- parse-loop50 [73] 4.8% loop [79] 95.2% [79] 218(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [79] 95.2% ulp-difference [99] 4.8% ----------------------------------------------------------------------- parse-loop50 [73] 100.0% [80] 202(0.9%) 202(0.9%) make-keyword-procedure ...ket/private/kw.rkt:216:4 ----------------------------------------------------------------------- f94 [74] 100.0% [81] 200(0.9%) 200(0.9%) composed ...ollects/racket/private/list.rkt:321:16 ----------------------------------------------------------------------- ...higher-order.rkt:369:33 [70] 8.0% ??? [77] 45.3% ??? [59] 46.7% [82] 4924(21.6%) 276(1.2%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [86] 94.4% ----------------------------------------------------------------------- ??? [76] 100.0% [83] 2256(9.9%) 1508(6.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [87] 33.2% ----------------------------------------------------------------------- simplify [66] 49.8% taylor [78] 50.2% [84] 438(1.9%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [88] 100.0% ----------------------------------------------------------------------- ??? [76] 100.0% [85] 272(1.2%) 272(1.2%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- ??? [76] 8.4% ??? [82] 91.6% [86] 5076(22.3%) 1592(7.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [89] 57.1% ??? [90] 11.5% ----------------------------------------------------------------------- real->bigfloat [64] 37.7% bfmul [83] 62.3% [87] 1200(5.3%) 1200(5.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- finalize-iter! [28] 31.3% debug7 [84] 68.7% [88] 638(2.8%) 220(1.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 assoc-has-key? [91] 34.2% for-loop [92] 31.3% ----------------------------------------------------------------------- ??? [86] 100.0% [89] 2898(12.7%) 438(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 84.9% ----------------------------------------------------------------------- ??? [86] 100.0% [90] 586(2.6%) 196(0.9%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [94] 66.6% ----------------------------------------------------------------------- ??? [88] 100.0% [91] 218(1.0%) 218(1.0%) assoc-has-key? ...ts/racket/private/dict.rkt:236:0 ----------------------------------------------------------------------- ??? [88] 100.0% [92] 200(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [95] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [93] 2460(10.8%) 2460(10.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- ??? [90] 100.0% [94] 390(1.7%) 390(1.7%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ----------------------------------------------------------------------- for-loop [92] 100.0% [95] 200(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [96] 100.0% ----------------------------------------------------------------------- atab-add-altn [95] 100.0% [96] 200(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [97] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [96] 100.0% [97] 200(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [98] 100.0% ----------------------------------------------------------------------- errors [97] 100.0% [98] 200(0.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [99] 100.0% ----------------------------------------------------------------------- for-loop [98] 47.8% loop [79] 52.2% [99] 418(1.8%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [100] 100.0% ----------------------------------------------------------------------- ulp-difference [99] 100.0% [100] 418(1.8%) 418(1.8%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -----------------------------------------------------------------------