Profiling results ----------------- Total cpu time observed: 17990ms (out of 18316ms) Number of samples taken: 87 (once every 207ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 102 hidden) ==================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ==================================================================== ??? [31] 100.0% [1] 17588(97.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% -------------------------------------------------------------------- ??? [31] 100.0% [2] 13002(72.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 66.9% finalize-table! [9] 30.1% get-final-combination [12] 3.1% -------------------------------------------------------------------- loop [82] 5.7% ??? [31] 94.3% [3] 7034(39.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 55.1% for-loop [10] 27.1% iterate-egraph!5 [14] 17.8% -------------------------------------------------------------------- loop [82] 100.0% [4] 1384(7.7%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [8] 100.0% -------------------------------------------------------------------- hash-ref! [64] 100.0% [5] 1222(6.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [11] 82.5% hash-ref! [64] 17.5% -------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 17588(97.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% -------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 8692(48.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% -------------------------------------------------------------------- completely-simplify-alt [4] 26.3% simplify [3] 73.7% [8] 5260(29.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% -------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 3910(21.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% -------------------------------------------------------------------- simplify [3] 100.0% [10] 1904(10.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% -------------------------------------------------------------------- ??? [5] 100.0% [11] 1008(5.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [64] 100.0% -------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 400(2.2%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% -------------------------------------------------------------------- for-loop [7] 100.0% [13] 8692(48.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 76.3% finalize-iter! [20] 11.6% gen-series! [21] 7.3% choose-best-alt! [23] 2.5% localize-error [22] 2.3% -------------------------------------------------------------------- simplify [3] 14.9% for-loop [10] 22.6% simplify-expr [8] 62.5% [14] 8418(46.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 97.7% *simplify-rules* [24] 2.3% -------------------------------------------------------------------- finalize-table! [9] 100.0% [15] 3910(21.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [19] 49.9% loop [82] 39.9% ??? [29] 10.2% -------------------------------------------------------------------- get-final-combination [12] 100.0% [16] 400(2.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [82] 100.0% -------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [17] 8228(45.7%) 378(2.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 74.3% loop [28] 21.1% -------------------------------------------------------------------- run-iter! [13] 100.0% [18] 6634(36.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% -------------------------------------------------------------------- post-process [15] 100.0% [19] 1950(10.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [27] 100.0% -------------------------------------------------------------------- run-iter! [13] 100.0% [20] 1010(5.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [29] 100.0% -------------------------------------------------------------------- run-iter! [13] 100.0% [21] 634(3.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% -------------------------------------------------------------------- loop [82] 47.6% run-iter! [13] 52.4% [22] 374(2.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [64] 100.0% -------------------------------------------------------------------- run-iter! [13] 100.0% [23] 218(1.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [29] 100.0% -------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [24] 190(1.1%) 190(1.1%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 -------------------------------------------------------------------- simplify! [18] 100.0% [25] 6634(36.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% -------------------------------------------------------------------- for-loop [26] 50.0% one-iter [17] 50.0% [26] 6112(34.0%) 976(5.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [37] 40.2% ??? [36] 1.8% -------------------------------------------------------------------- for-loop [19] 100.0% [27] 1950(10.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [32] 80.5% loop [82] 19.5% -------------------------------------------------------------------- one-iter [17] 100.0% [28] 1738(9.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% -------------------------------------------------------------------- choose-best-alt! [23] 13.4% post-process [15] 24.5% finalize-iter! [20] 62.1% [29] 1626(9.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 86.6% atab-pick-alt8 [35] 13.4% -------------------------------------------------------------------- gen-series! [21] 100.0% [30] 634(3.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% -------------------------------------------------------------------- for-loop [25] 12.5% run [6] 42.9% [31] 17990(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.9% run-improve58 [2] 30.8% loop [38] 13.9% simplify [3] 12.5% -------------------------------------------------------------------- loop [82] 14.7% for-loop [30] 24.5% append-map [27] 60.8% [32] 2584(14.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% -------------------------------------------------------------------- loop [28] 100.0% [33] 1738(9.7%) 182(1.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [37] 33.4% merge-egraph-nodes! [41] 22.1% loop! [85] 21.7% mk-enode! [44] 12.3% -------------------------------------------------------------------- ??? [29] 100.0% [34] 1408(7.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% -------------------------------------------------------------------- ??? [29] 100.0% [35] 218(1.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [42] 100.0% -------------------------------------------------------------------- for-loop [26] 100.0% [36] 216(1.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [43] 100.0% -------------------------------------------------------------------- apply-match [33] 8.7% for-loop [56] 10.4% for-loop [26] 80.9% [37] 5500(30.6%) 3708(20.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 23.5% constant? [49] 7.2% custom-in-set [51] 3.7% list-cartesian-product [58] 3.3% for-loop [56] 1.8% -------------------------------------------------------------------- ??? [31] 100.0% [38] 4988(27.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [54] 58.9% loop [46] 41.1% -------------------------------------------------------------------- taylor-alt [32] 100.0% [39] 2584(14.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% -------------------------------------------------------------------- for-loop [34] 100.0% [40] 1408(7.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48]100.0% -------------------------------------------------------------------- apply-match [33] 100.0% [41] 384(2.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [53] 50.0% update-leader! [52] 50.0% -------------------------------------------------------------------- atab-pick-alt8 [35] 100.0% [42] 218(1.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [50] 100.0% -------------------------------------------------------------------- ??? [36] 100.0% [43] 216(1.2%) 216(1.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 -------------------------------------------------------------------- apply-match [33] 100.0% [44] 214(1.2%) 214(1.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 -------------------------------------------------------------------- location-do [45] 46.2% for-loop [39] 53.8% [45] 2584(14.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 53.8% location-do [45] 46.2% -------------------------------------------------------------------- loop [38] 100.0% [46] 2050(11.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [54] 54.6% loop [57] 45.4% -------------------------------------------------------------------- match-e [37] 100.0% [47] 1762(9.8%) 400(2.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [56] 53.5% list-cartesian-product [58] 13.5% loop [82] 10.3% -------------------------------------------------------------------- atab-add-altn [40] 100.0% [48] 1408(7.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 100.0% -------------------------------------------------------------------- match-e [37] 100.0% [49] 588(3.3%) 588(3.3%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------- ??? [42] 100.0% [50] 218(1.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [59] 100.0% -------------------------------------------------------------------- match-e [37] 100.0% [51] 202(1.1%) 202(1.1%) custom-in-set ...acket/private/set-types.rkt:578:0 -------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [52] 192(1.1%) 192(1.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 -------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [53] 192(1.1%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [60] 100.0% -------------------------------------------------------------------- loop [46] 27.6% loop [38] 72.4% [54] 4058(22.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [78] 59.6% loop [82] 40.4% -------------------------------------------------------------------- location-do [45] 100.0% [55] 2584(14.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [61] 70.2% f6 [76] 22.1% taylor-sqrt [62] 7.7% -------------------------------------------------------------------- match-e [37] 17.4% for-loop [47] 82.6% [56] 1140(6.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [37] 100.0% -------------------------------------------------------------------- loop [46] 100.0% [57] 930(5.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% -------------------------------------------------------------------- list-cartesian-product [58] 28.3% for-loop [47] 28.3% match-e [37] 43.3% [58] 420(2.3%) 420(2.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [58] 28.3% -------------------------------------------------------------------- best-alt [50] 100.0% [59] 218(1.2%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [63] 100.0% -------------------------------------------------------------------- enode-merge! [53] 100.0% [60] 192(1.1%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [90] 100.0% -------------------------------------------------------------------- approximate9 [55] 100.0% [61] 1814(10.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [64] 100.0% -------------------------------------------------------------------- f6 [76] 47.9% approximate9 [55] 52.1% [62] 380(2.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [64] 100.0% -------------------------------------------------------------------- argmins [59] 100.0% [63] 218(1.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [65] 100.0% -------------------------------------------------------------------- ??? [5] 2.1% localize-error [22] 6.0% ??? [86] 8.6% ??? [69] 8.7% for-loop [11] 11.3% taylor-sqrt [62] 14.8% ??? [67] 19.7% loop [61] 27.2% [64] 2568(14.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [66] 40.0% ??? [67] 19.7% ??? [5] 13.4% f6 [76] 9.5% ??? [69] 8.7% parse-loop12 [72] 5.1% ??? [71] 2.1% -------------------------------------------------------------------- composed [63] 13.4% best-and-tied-at-points [48] 86.6% [65] 1626(9.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [68] 73.9% eval-prog [70] 26.1% -------------------------------------------------------------------- loop [82] 8.5% hash-ref! [64] 91.5% [66] 2164(12.0%) 194(1.1%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [72] 46.6% f6 [76] 36.2% debug7 [75] 8.2% -------------------------------------------------------------------- hash-ref! [64] 100.0% [67] 1620(9.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [64] 100.0% -------------------------------------------------------------------- errors [65] 100.0% [68] 1202(6.7%) 186(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [73] 35.1% ??? [84] 33.1% ??? [74] 16.3% -------------------------------------------------------------------- hash-ref! [64] 100.0% [69] 862(4.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [64] 100.0% -------------------------------------------------------------------- errors [65] 100.0% [70] 424(2.4%) 424(2.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 -------------------------------------------------------------------- hash-ref! [64] 100.0% [71] 214(1.2%) 214(1.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 -------------------------------------------------------------------- hash-ref! [64] 13.8% map [78] 20.0% simplify [66] 31.2% parse-loop12 [72] 35.0% [72] 1424(7.9%) 594(3.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-loop12 [72] 35.0% f6 [76] 34.0% loop [82] 13.8% parse-app [77] 5.0% -------------------------------------------------------------------- for-loop [68] 100.0% [73] 422(2.3%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [94] 100.0% -------------------------------------------------------------------- for-loop [68] 100.0% [74] 196(1.1%) 196(1.1%) ??? ...ket/collects/racket/private/for.rkt:1150:14 -------------------------------------------------------------------- simplify [66] 100.0% [75] 178(1.0%) 178(1.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 -------------------------------------------------------------------- f6 [76] 7.3% simplify [66] 7.9% approximate9 [55] 9.4% hash-ref! [64] 21.3% parse-loop12 [72] 24.5% map [78] 29.5% [76] 1758(9.8%) 764(4.2%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [78] 63.9% f6 [76] 7.3% taylor [81] 5.9% loop [82] 2.1% combine-mterms [79] 2.1% taylor-sqrt [62] 1.5% -------------------------------------------------------------------- parse-loop12 [72] 100.0% [77] 214(1.2%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [80] 100.0% -------------------------------------------------------------------- loop [57] 19.8% f6 [76] 28.8% make-exacts* [54] 51.5% [78] 4702(26.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [82] 73.1% f6 [76] 15.7% ??? [86] 6.1% parse-loop12 [72] 5.1% -------------------------------------------------------------------- f6 [76] 100.0% [79] 220(1.2%) 0(0.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [83] 100.0% -------------------------------------------------------------------- loop [80] 50.0% parse-app [77] 50.0% [80] 214(1.2%) 214(1.2%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [80] 50.0% -------------------------------------------------------------------- f6 [76] 100.0% [81] 206(1.1%) 206(1.1%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 -------------------------------------------------------------------- make-exacts* [54] 0.1% parse-loop12 [72] 0.1% map [78] 0.8% loop! [85] 2.3% for-loop [47] 2.3% f6 [76] 2.3% extract-alt [16] 3.7% post-process [15] 3.9% append-map [27] 4.7% loop [82] 79.9% [82] 8074(44.9%) 182(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [82] 79.9% taylor-alt [32] 4.7% simplify [3] 3.7% completely-simplify-alt [4] 3.3% simplify [66] 2.3% loop! [85] 2.3% ??? [93] 0.6% localize-error [22] 0.6% ??? [84] 0.3% ??? [86] 0.1% ->flonum [89] 0.0% -------------------------------------------------------------------- combine-mterms [79] 100.0% [83] 220(1.2%) 220(1.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 -------------------------------------------------------------------- for-loop [68] 7.7% loop [82] 92.3% [84] 5146(28.6%) 432(2.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 53.2% real->bigfloat [88] 29.9% ??? [91] 4.6% ->flonum [89] 3.9% -------------------------------------------------------------------- loop [82] 24.1% apply-match [33] 75.9% [85] 378(2.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [90] 51.9% loop [82] 24.1% set [92] 24.1% -------------------------------------------------------------------- loop [82] 26.2% map [78] 73.8% [86] 374(2.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [64] 100.0% -------------------------------------------------------------------- ??? [84] 100.0% [87] 2738(15.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 100.0% -------------------------------------------------------------------- ??? [84] 100.0% [88] 1538(8.5%) 1040(5.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 32.4% -------------------------------------------------------------------- ??? [84] 45.5% loop [82] 54.5% [89] 440(2.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 100.0% -------------------------------------------------------------------- adopt-enode! [60] 49.5% loop! [85] 50.5% [90] 388(2.2%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [95] 100.0% -------------------------------------------------------------------- ??? [84] 100.0% [91] 238(1.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% -------------------------------------------------------------------- loop! [85] 100.0% [92] 182(1.0%) 182(1.0%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------- loop [82] 12.0% ??? [87] 88.0% [93] 3112(17.3%) 1114(6.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfhypot [96] 35.6% bfexp [97] 21.5% ??? [98] 7.1% -------------------------------------------------------------------- ulp-difference [73] 49.0% ->flonum [89] 51.0% [94] 862(4.8%) 862(4.8%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------- custom-set-union [90] 100.0% [95] 388(2.2%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [99] 100.0% -------------------------------------------------------------------- ??? [93] 100.0% [96] 1108(6.2%) 858(4.8%) bfhypot ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 22.6% -------------------------------------------------------------------- ??? [93] 100.0% [97] 670(3.7%) 670(3.7%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 -------------------------------------------------------------------- ??? [93] 48.0% ??? [91] 52.0% [98] 458(2.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 100.0% -------------------------------------------------------------------- for-loop [95] 100.0% [99] 388(2.2%) 388(2.2%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------- bfhypot [96] 33.4% real->bigfloat [88] 66.6% [100] 748(4.2%) 748(4.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------- ??? [98] 100.0% [101] 458(2.5%) 458(2.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 --------------------------------------------------------------------