Profiling results ----------------- Total cpu time observed: 40348ms (out of 41124ms) Number of samples taken: 159 (once every 254ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 94 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [23] 100.0% [1] 39326(97.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------- ??? [23] 100.0% [2] 6670(16.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 87.0% loop [28] 13.0% ---------------------------------------------------------------------- ??? [23] 100.0% [3] 4360(10.8%) 254(0.6%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 56.9% for-loop [9] 28.0% iterate-egraph!5 [11] 9.2% ---------------------------------------------------------------------- hash-ref! [58] 100.0% [4] 1084(2.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [52] 100.0% ---------------------------------------------------------------------- f143 [68] 100.0% [5] 202(0.5%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [53] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.5% [6] 39536(98.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [23] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 5802(14.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 2482(6.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 1222(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- for-loop [7] 100.0% [10] 5802(14.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [12] 75.1% gen-series! [14] 10.7% finalize-iter! [15] 10.4% localize-error [16] 3.8% ---------------------------------------------------------------------- simplify [3] 9.8% for-loop [9] 29.8% simplify-expr [8] 60.4% [11] 4106(10.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [13] 95.1% map-enodes [17] 4.9% ---------------------------------------------------------------------- run-iter! [10] 100.0% [12] 4360(10.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [13] 3904(9.7%) 202(0.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [19] 67.7% loop [20] 22.0% apply-match [25] 5.1% ---------------------------------------------------------------------- run-iter! [10] 100.0% [14] 620(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [21] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [15] 602(1.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [22] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [16] 220(0.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [58] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [17] 202(0.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [52] 100.0% ---------------------------------------------------------------------- simplify! [12] 100.0% [18] 4360(10.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [23] 100.0% ---------------------------------------------------------------------- for-loop [19] 50.0% one-iter [13] 50.0% [19] 2644(6.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [19] 50.0% match-e [24] 50.0% ---------------------------------------------------------------------- one-iter [13] 100.0% [20] 858(2.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [25] 100.0% ---------------------------------------------------------------------- gen-series! [14] 100.0% [21] 620(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [26] 100.0% ---------------------------------------------------------------------- finalize-iter! [15] 100.0% [22] 602(1.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [27] 100.0% ---------------------------------------------------------------------- for-loop [18] 3.7% run [6] 47.8% [23] 40152(99.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.2% loop [28] 42.5% run-improve58 [2] 6.6% simplify [3] 3.7% ---------------------------------------------------------------------- for-loop [37] 3.8% for-loop [19] 96.2% [24] 2644(6.6%) 2244(5.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [31] 18.9% ---------------------------------------------------------------------- one-iter [13] 18.9% loop [20] 81.1% [25] 1058(2.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [60] 43.3% merge-egraph-nodes! [32] 37.8% for-loop [33] 18.9% ---------------------------------------------------------------------- for-loop [21] 100.0% [26] 620(1.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [29] 100.0% ---------------------------------------------------------------------- ??? [22] 100.0% [27] 602(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [30] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [23] 97.5% [28] 34350(85.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [34] 58.4% make-exacts* [42] 30.3% loop [43] 10.7% ---------------------------------------------------------------------- taylor-alt [26] 100.0% [29] 620(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [35] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [30] 602(1.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [36] 100.0% ---------------------------------------------------------------------- match-e [24] 100.0% [31] 602(1.5%) 200(0.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [37] 33.6% foldl [39] 33.2% ---------------------------------------------------------------------- apply-match [25] 100.0% [32] 400(1.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [41] 50.0% enode-merge! [40] 50.0% ---------------------------------------------------------------------- apply-match [25] 100.0% [33] 200(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [38] 100.0% ---------------------------------------------------------------------- loop [28] 100.0% [34] 20048(49.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [43] 52.0% make-exacts* [42] 38.8% eval-prog [49] 9.2% ---------------------------------------------------------------------- for-loop [29] 30.0% location-do [35] 70.0% [35] 620(1.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [35] 70.0% approximate9 [44] 30.0% ---------------------------------------------------------------------- atab-add-altn [30] 100.0% [36] 602(1.5%) 202(0.5%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [45] 66.4% ---------------------------------------------------------------------- for-loop [31] 100.0% [37] 202(0.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [24] 100.0% ---------------------------------------------------------------------- for-loop [33] 100.0% [38] 200(0.5%) 200(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- for-loop [31] 100.0% [39] 200(0.5%) 200(0.5%) foldl ...et/collects/racket/private/list.rkt:229:4 ---------------------------------------------------------------------- merge-egraph-nodes! [32] 100.0% [40] 200(0.5%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [46] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [32] 100.0% [41] 200(0.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [47] 100.0% ---------------------------------------------------------------------- loop [34] 42.8% loop [28] 57.2% [42] 18196(45.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [52] 48.9% map [48] 45.8% eval-prog [49] 5.2% ---------------------------------------------------------------------- loop [28] 26.1% loop [34] 73.9% [43] 14100(34.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [48] 100.0% ---------------------------------------------------------------------- location-do [35] 100.0% [44] 620(1.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-sqrt [50] 67.4% f143 [68] 32.6% ---------------------------------------------------------------------- best-and-tied-at-points [36] 100.0% [45] 400(1.0%) 400(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- enode-merge! [40] 100.0% [46] 200(0.5%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [67] 100.0% ---------------------------------------------------------------------- update-leader! [41] 100.0% [47] 200(0.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [51] 100.0% ---------------------------------------------------------------------- f143 [68] 1.8% make-exacts* [42] 36.5% loop [43] 61.7% [48] 22860(56.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [52] 98.6% f143 [68] 0.9% ??? [55] 0.5% ---------------------------------------------------------------------- make-exacts* [42] 34.1% loop [34] 65.9% [49] 2798(6.9%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [58] 84.9% inductor [54] 15.1% ---------------------------------------------------------------------- approximate9 [44] 100.0% [50] 418(1.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [53] 100.0% ---------------------------------------------------------------------- for-loop [47] 100.0% [51] 200(0.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [56] 100.0% ---------------------------------------------------------------------- map-enodes [17] 0.1% parse-loop12 [69] 0.1% make-exacts* [42] 0.1% loop! [60] 0.2% map [48] 2.8% ??? [4] 3.3% loop [52] 93.4% [52] 33104(82.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [52] 93.4% hash-ref! [58] 3.3% ??? [57] 2.7% ->flonum [59] 0.3% loop! [60] 0.2% ??? [55] 0.1% for-loop [61] 0.1% ??? [81] 0.0% ---------------------------------------------------------------------- taylor-invert [5] 32.6% taylor-sqrt [50] 67.4% [53] 620(1.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f143 [68] 64.5% parse-loop12 [69] 35.5% ---------------------------------------------------------------------- inductor [54] 50.0% eval-prog [49] 50.0% [54] 422(1.0%) 196(0.5%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [54] 50.0% real->bigfloat [64] 26.8% ---------------------------------------------------------------------- map [48] 20.0% loop [52] 80.0% [55] 220(0.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [58] 100.0% ---------------------------------------------------------------------- for-loop [51] 100.0% [56] 200(0.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [62] 100.0% ---------------------------------------------------------------------- loop [52] 100.0% [57] 29836(73.9%) 216(0.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [63] 75.8% real->bigfloat [64] 17.4% ??? [87] 5.2% ---------------------------------------------------------------------- localize-error [16] 1.4% ??? [55] 7.1% loop [52] 26.2% eval-prog [49] 65.4% [58] 2596(6.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [65] 65.4% ??? [4] 26.2% parse-loop12 [69] 5.6% f143 [68] 2.8% ---------------------------------------------------------------------- loop [52] 100.0% [59] 1506(3.7%) 200(0.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [66] 68.9% ??? [70] 17.8% ---------------------------------------------------------------------- loop [52] 27.9% apply-match [25] 72.1% [60] 458(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [67] 72.1% loop [52] 27.9% ---------------------------------------------------------------------- loop [52] 100.0% [61] 202(0.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [71] 100.0% ---------------------------------------------------------------------- hash-update! [56] 100.0% [62] 200(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [72] 100.0% ---------------------------------------------------------------------- ??? [57] 100.0% [63] 22626(56.1%) 158(0.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [81] 52.0% bf* [73] 29.0% ...higher-order.rkt:373:33 [74] 18.3% ---------------------------------------------------------------------- inductor [54] 4.2% ??? [57] 95.8% [64] 5422(13.4%) 4994(12.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [90] 7.9% ---------------------------------------------------------------------- hash-ref! [58] 100.0% [65] 2376(5.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [75] 66.0% sig+exp->bigfloat [76] 34.0% ---------------------------------------------------------------------- ->flonum [59] 100.0% [66] 1038(2.6%) 824(2.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [90] 20.6% ---------------------------------------------------------------------- adopt-enode! [46] 30.4% loop! [60] 69.6% [67] 658(1.6%) 200(0.5%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [77] 69.6% ---------------------------------------------------------------------- map [48] 6.5% approximate9 [44] 6.5% f143 [68] 13.0% hash-ref! [58] 35.5% simplify [53] 38.5% [68] 620(1.5%) 0(0.0%) f143 .../collects/racket/match/compiler.rkt:499:40 map [48] 42.0% combine-mterms [80] 31.9% f143 [68] 13.0% taylor-invert [5] 6.5% gather-multiplicative-terms [78] 6.5% ---------------------------------------------------------------------- hash-ref! [58] 50.0% simplify [53] 50.0% [69] 440(1.1%) 220(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [52] 50.0% ---------------------------------------------------------------------- ->flonum [59] 100.0% [70] 268(0.7%) 268(0.7%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- for-loop [61] 100.0% [71] 202(0.5%) 202(0.5%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- ??? [62] 100.0% [72] 200(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [79] 100.0% ---------------------------------------------------------------------- ??? [63] 100.0% [73] 6568(16.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [81] 100.0% ---------------------------------------------------------------------- ??? [63] 100.0% [74] 4136(10.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [82] 93.7% ??? [87] 6.3% ---------------------------------------------------------------------- bigfloat-hash [65] 100.0% [75] 1568(3.9%) 1334(3.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [83] 14.9% ---------------------------------------------------------------------- bigfloat-hash [65] 100.0% [76] 808(2.0%) 808(2.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- custom-set-union [67] 100.0% [77] 458(1.1%) 256(0.6%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [84] 44.1% ---------------------------------------------------------------------- f143 [68] 100.0% [78] 202(0.5%) 202(0.5%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ---------------------------------------------------------------------- for-loop [72] 100.0% [79] 200(0.5%) 200(0.5%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- f143 [68] 100.0% [80] 198(0.5%) 0(0.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [85] 100.0% ---------------------------------------------------------------------- loop [52] 1.2% bf* [73] 35.4% ??? [63] 63.4% [81] 18552(46.0%) 876(2.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [86] 53.8% bfsqrt [88] 27.2% ??? [89] 14.3% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [74] 100.0% [82] 3874(9.6%) 204(0.5%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [87] 94.7% ---------------------------------------------------------------------- bfcanonicalize [75] 100.0% [83] 234(0.6%) 234(0.6%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 ---------------------------------------------------------------------- for-loop [77] 100.0% [84] 202(0.5%) 202(0.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- combine-mterms [80] 100.0% [85] 198(0.5%) 198(0.5%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 ---------------------------------------------------------------------- ??? [81] 100.0% [86] 9978(24.7%) 8544(21.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [90] 14.4% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [74] 4.8% ??? [57] 28.2% ??? [82] 67.0% [87] 5480(13.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [81] 100.0% [88] 5054(12.5%) 4138(10.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [90] 18.1% ---------------------------------------------------------------------- ??? [81] 32.5% ??? [87] 67.5% [89] 8124(20.1%) 4980(12.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 38.7% ---------------------------------------------------------------------- ??? [66] 7.2% real->bigfloat [64] 14.3% bfsqrt [88] 30.6% bfadd [86] 47.9% [90] 2992(7.4%) 2992(7.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [89] 100.0% [91] 3144(7.8%) 1758(4.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [92] 44.1% ---------------------------------------------------------------------- ??? [91] 100.0% [92] 1386(3.4%) 1386(3.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------