Profiling results ----------------- Total cpu time observed: 21068ms (out of 21368ms) Number of samples taken: 92 (once every 229ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 98 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [21] 100.0% [1] 19616(93.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [21] 100.0% [2] 14236(67.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 92.1% get-final-combination [6] 6.4% setup-prog [8] 1.5% ---------------------------------------------------------------------- hash-ref! [61] 100.0% [3] 220(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [7] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 19616(93.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [21] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 13112(62.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 908(4.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [7] 220(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [61] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 216(1.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [9] 13112(62.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 95.2% gen-series! [14] 3.4% finalize-iter! [15] 1.4% ---------------------------------------------------------------------- get-final-combination [6] 100.0% [10] 908(4.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [49] 100.0% ---------------------------------------------------------------------- setup-prog [8] 100.0% [11] 216(1.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [12] 100.0% ---------------------------------------------------------------------- simplify-alt [11] 1.6% loop [49] 6.7% ??? [21] 91.7% [12] 13602(64.6%) 674(3.2%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 59.9% for-loop [18] 27.3% iterate-egraph!5 [22] 7.7% ---------------------------------------------------------------------- run-iter! [9] 100.0% [13] 12478(59.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [14] 448(2.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [19] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [15] 186(0.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% ---------------------------------------------------------------------- simplify! [13] 100.0% [16] 12478(59.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [21] 100.0% ---------------------------------------------------------------------- simplify [12] 100.0% [17] 8154(38.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 100.0% ---------------------------------------------------------------------- simplify [12] 100.0% [18] 3720(17.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 100.0% ---------------------------------------------------------------------- gen-series! [14] 100.0% [19] 448(2.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [23] 100.0% ---------------------------------------------------------------------- finalize-iter! [15] 100.0% [20] 186(0.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [24] 100.0% ---------------------------------------------------------------------- for-loop [16] 20.6% run [4] 37.7% [21] 20854(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 37.7% run-improve58 [2] 25.8% simplify [12] 20.6% loop [26] 15.9% ---------------------------------------------------------------------- simplify [12] 8.2% for-loop [18] 28.8% simplify-expr [17] 63.1% [22] 12928(61.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [25] 98.5% ---------------------------------------------------------------------- for-loop [19] 100.0% [23] 448(2.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [27] 100.0% ---------------------------------------------------------------------- ??? [20] 100.0% [24] 186(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [28] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [25] 12734(60.4%) 222(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 46.6% loop [30] 45.8% apply-match [34] 5.9% ---------------------------------------------------------------------- ??? [21] 100.0% [26] 6618(31.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [35] 58.2% loop [31] 41.8% ---------------------------------------------------------------------- taylor-alt [23] 100.0% [27] 448(2.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [32] 100.0% ---------------------------------------------------------------------- for-loop [24] 100.0% [28] 186(0.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [33] 100.0% ---------------------------------------------------------------------- for-loop [29] 48.3% one-iter [25] 51.7% [29] 5932(28.2%) 574(2.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 48.3% match-e [39] 45.2% ---------------------------------------------------------------------- one-iter [25] 100.0% [30] 5830(27.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [34] 100.0% ---------------------------------------------------------------------- loop [26] 100.0% [31] 2766(13.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [36] 71.6% make-exacts* [35] 28.4% ---------------------------------------------------------------------- location-do [32] 33.9% for-loop [27] 66.1% [32] 448(2.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [37] 66.1% location-do [32] 33.9% ---------------------------------------------------------------------- atab-add-altn [28] 100.0% [33] 186(0.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [38] 100.0% ---------------------------------------------------------------------- one-iter [25] 11.4% loop [30] 88.6% [34] 6580(31.2%) 178(0.8%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 30.5% for-loop [40] 16.6% substitute-e [47] 15.2% match-e [39] 15.0% loop! [59] 14.5% mk-enode! [52] 5.4% ---------------------------------------------------------------------- loop [31] 16.9% loop [26] 83.1% [35] 4638(22.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [49] 51.4% map [44] 48.6% ---------------------------------------------------------------------- loop [31] 100.0% [36] 1980(9.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [44] 100.0% ---------------------------------------------------------------------- location-do [32] 100.0% [37] 448(2.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [41] 50.9% loop [42] 49.1% ---------------------------------------------------------------------- best-and-tied-at-points [33] 100.0% [38] 186(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [43] 100.0% ---------------------------------------------------------------------- apply-match [34] 9.4% for-loop [50] 20.9% for-loop [29] 69.8% [39] 6348(30.1%) 3164(15.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 44.4% for-loop [50] 11.6% list-cartesian-product [48] 7.3% ---------------------------------------------------------------------- apply-match [34] 100.0% [40] 1094(5.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [46] 49.0% loop! [59] 32.7% substitute-e [47] 18.3% ---------------------------------------------------------------------- map [44] 50.0% approximate9 [37] 50.0% [41] 228(1.1%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [44] 100.0% ---------------------------------------------------------------------- approximate9 [37] 100.0% [42] 220(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [61] 100.0% ---------------------------------------------------------------------- errors [38] 100.0% [43] 186(0.9%) 186(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------- f94 [41] 5.1% loop [36] 44.4% make-exacts* [35] 50.5% [44] 4460(21.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [49] 94.9% f94 [41] 2.6% taylor-invert [53] 2.6% ---------------------------------------------------------------------- match-e [39] 100.0% [45] 3020(14.3%) 2228(10.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [50] 29.2% loop [49] 6.7% ---------------------------------------------------------------------- merge-egraph-nodes! [46] 4.2% for-loop [40] 21.1% apply-match [34] 74.7% [46] 2544(12.1%) 200(0.9%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [51] 58.8% loop! [59] 15.1% for-loop [56] 7.0% enode-merge! [57] 7.0% merge-egraph-nodes! [46] 4.2% ---------------------------------------------------------------------- for-loop [40] 16.7% substitute-e [47] 23.6% apply-match [34] 59.7% [47] 1198(5.7%) 202(1.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [52] 64.6% substitute-e [47] 23.6% constant? [54] 6.2% ---------------------------------------------------------------------- list-cartesian-product [48] 34.2% match-e [39] 65.8% [48] 564(2.7%) 364(1.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [48] 34.2% for-loop [55] 17.7% ---------------------------------------------------------------------- make-exacts* [35] 0.0% ??? [58] 0.2% map [44] 0.3% for-loop [45] 2.3% loop! [59] 2.5% extract-alt [10] 5.4% loop [49] 88.7% [49] 8684(41.2%) 646(3.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [49] 88.7% simplify [12] 5.4% loop! [59] 2.5% for-loop [63] 0.4% ??? [58] 0.4% real->bigfloat [65] 0.0% ??? [84] 0.0% ---------------------------------------------------------------------- for-loop [45] 45.6% match-e [39] 54.4% [50] 2580(12.2%) 190(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 96.3% ---------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [51] 1604(7.6%) 380(1.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 63.8% hash-ref! [61] 12.5% ---------------------------------------------------------------------- apply-match [34] 31.5% substitute-e [47] 68.5% [52] 1130(5.4%) 930(4.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [62] 17.7% ---------------------------------------------------------------------- map [44] 100.0% [53] 228(1.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [70] 100.0% ---------------------------------------------------------------------- substitute-e [47] 100.0% [54] 222(1.1%) 222(1.1%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- list-cartesian-product [48] 100.0% [55] 200(0.9%) 200(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [56] 178(0.8%) 178(0.8%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [57] 178(0.8%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [64] 100.0% ---------------------------------------------------------------------- loop [49] 100.0% [58] 6618(31.4%) 248(1.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [65] 38.5% ??? [66] 32.1% loop [49] 25.6% ---------------------------------------------------------------------- merge-egraph-nodes! [46] 11.3% for-loop [40] 15.8% loop [49] 22.4% apply-match [34] 50.4% [59] 1698(8.1%) 400(1.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [69] 43.3% loop [49] 22.4% set [68] 16.5% ---------------------------------------------------------------------- update-leader! [51] 100.0% [60] 1024(4.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 100.0% ---------------------------------------------------------------------- for-loop [7] 7.5% ??? [71] 7.5% loop [42] 7.5% ??? [72] 29.9% update-leader! [51] 47.6% [61] 420(2.0%) 200(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [72] 29.9% ??? [71] 7.5% ??? [3] 7.5% simplify [70] 7.5% ---------------------------------------------------------------------- mk-enode! [52] 100.0% [62] 200(0.9%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [68] 100.0% ---------------------------------------------------------------------- loop [49] 100.0% [63] 194(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [73] 100.0% ---------------------------------------------------------------------- enode-merge! [57] 100.0% [64] 178(0.8%) 178(0.8%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ---------------------------------------------------------------------- loop [49] 27.9% ??? [58] 72.1% [65] 3534(16.8%) 3038(14.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [86] 14.0% ---------------------------------------------------------------------- ??? [58] 100.0% [66] 2126(10.1%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [74] 50.0% ...higher-order.rkt:373:33 [75] 50.0% ---------------------------------------------------------------------- for-loop [60] 100.0% [67] 1024(4.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [76] 100.0% ---------------------------------------------------------------------- new-enode [62] 26.2% loop! [59] 73.8% [68] 762(3.6%) 762(3.6%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- loop! [59] 100.0% [69] 736(3.5%) 358(1.7%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [77] 51.4% ---------------------------------------------------------------------- hash-ref! [61] 49.1% taylor-invert [53] 50.9% [70] 448(2.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 make-multiplication-node [92] 50.9% simplify-node [78] 49.1% ---------------------------------------------------------------------- hash-ref! [61] 100.0% [71] 220(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [61] 100.0% ---------------------------------------------------------------------- hash-ref! [61] 100.0% [72] 220(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [61] 100.0% ---------------------------------------------------------------------- for-loop [63] 100.0% [73] 194(0.9%) 194(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- ??? [66] 100.0% [74] 1064(5.1%) 258(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [81] 75.8% ---------------------------------------------------------------------- ??? [66] 100.0% [75] 1062(5.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [79] 100.0% ---------------------------------------------------------------------- for-loop [67] 100.0% [76] 1024(4.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [80] 100.0% ---------------------------------------------------------------------- custom-set-union [69] 100.0% [77] 378(1.8%) 178(0.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [83] 52.9% ---------------------------------------------------------------------- simplify [70] 100.0% [78] 220(1.0%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [82] 100.0% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [75] 100.0% [79] 1062(5.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [84] 100.0% ---------------------------------------------------------------------- hash-update! [76] 100.0% [80] 1024(4.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [85] 80.3% make-sequence [88] 19.7% ---------------------------------------------------------------------- ??? [74] 100.0% [81] 806(3.8%) 536(2.5%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [86] 33.5% ---------------------------------------------------------------------- simplify-node [78] 100.0% [82] 220(1.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop364 [87] 100.0% ---------------------------------------------------------------------- for-loop [77] 100.0% [83] 200(0.9%) 200(0.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- loop [49] 20.0% ??? [79] 80.0% [84] 1328(6.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [80] 100.0% [85] 822(3.9%) 822(3.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- bfadd [81] 35.2% real->bigfloat [65] 64.8% [86] 766(3.6%) 766(3.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- append-map [82] 100.0% [87] 220(1.0%) 0(0.0%) parse-loop364 .../racket/match/compiler.rkt:410:15 for-loop [90] 100.0% ---------------------------------------------------------------------- ??? [80] 100.0% [88] 202(1.0%) 202(1.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- ??? [84] 100.0% [89] 1328(6.3%) 278(1.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 79.1% ---------------------------------------------------------------------- parse-loop364 [87] 100.0% [90] 220(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [92] 100.0% ---------------------------------------------------------------------- ??? [89] 100.0% [91] 1050(5.0%) 260(1.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 75.2% ---------------------------------------------------------------------- for-loop [90] 49.1% simplify [70] 50.9% [92] 448(2.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [94]100.0% ---------------------------------------------------------------------- ??? [91] 100.0% [93] 790(3.7%) 790(3.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- make-multiplication-node [92] 100.0% [94] 448(2.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [95] 50.9% group-by68 [96] 49.1% ---------------------------------------------------------------------- make-multiplication-subnode [94]100.0% [95] 228(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 compose [97] 100.0% ---------------------------------------------------------------------- make-multiplication-subnode [94]100.0% [96] 220(1.0%) 220(1.0%) group-by68 ...acket/collects/racket/list.rkt:749:0 ---------------------------------------------------------------------- for-loop [95] 100.0% [97] 228(1.1%) 228(1.1%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------