Profiling results ----------------- Total cpu time observed: 53634ms (out of 54108ms) Number of samples taken: 259 (once every 207ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 98 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [23] 100.0% [1] 52956(98.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ----------------------------------------------------------------------- ??? [23] 100.0% [2] 11232(20.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 83.9% loop [28] 12.5% get-final-combination [8] 3.6% ----------------------------------------------------------------------- loop [59] 4.7% ??? [23] 95.3% [3] 8660(16.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [6] 46.9% for-loop [7] 33.9% iterate-egraph!5 [10] 19.2% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 52956(98.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [23] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 9426(17.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [6] 4058(7.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [10] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [7] 2938(5.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [10] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 404(0.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [11] 100.0% ----------------------------------------------------------------------- for-loop [5] 100.0% [9] 9426(17.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 87.6% finalize-iter! [14] 6.2% gen-series! [15] 4.2% choose-best-alt! [17] 2.1% ----------------------------------------------------------------------- simplify [3] 19.2% for-loop [7] 33.9% simplify-expr [6] 46.9% [10] 8660(16.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [12] 97.2% map-enodes [16] 2.8% ----------------------------------------------------------------------- get-final-combination [8] 100.0% [11] 404(0.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [59] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [10] 100.0% [12] 8416(15.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [19] 60.7% loop [20] 29.5% apply-match [24] 9.8% ----------------------------------------------------------------------- run-iter! [9] 100.0% [13] 8256(15.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [14] 582(1.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [21] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [15] 394(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [22] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [10] 100.0% [16] 244(0.5%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [59] 100.0% ----------------------------------------------------------------------- run-iter! [9] 100.0% [17] 194(0.4%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [21] 100.0% ----------------------------------------------------------------------- simplify! [13] 100.0% [18] 8256(15.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [23] 100.0% ----------------------------------------------------------------------- for-loop [19] 48.0% one-iter [12] 52.0% [19] 5112(9.5%) 1526(2.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [19] 48.0% match-e [29] 35.1% ----------------------------------------------------------------------- one-iter [12] 100.0% [20] 2482(4.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [24] 100.0% ----------------------------------------------------------------------- choose-best-alt! [17] 25.0% finalize-iter! [14] 75.0% [21] 776(1.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [25] 75.0% atab-pick-alt8 [27] 25.0% ----------------------------------------------------------------------- gen-series! [15] 100.0% [22] 394(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [26] 100.0% ----------------------------------------------------------------------- for-loop [18] 5.2% run [4] 47.1% [23] 53418(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.1% loop [28] 39.7% run-improve58 [2] 8.0% simplify [3] 5.2% ----------------------------------------------------------------------- one-iter [12] 24.9% loop [20] 75.1% [24] 3304(6.2%) 202(0.4%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [30] 44.8% match-e [29] 30.2% loop! [67] 12.8% for-loop [33] 6.1% ----------------------------------------------------------------------- ??? [21] 100.0% [25] 582(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [31] 100.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [26] 394(0.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [32] 100.0% ----------------------------------------------------------------------- ??? [21] 100.0% [27] 194(0.4%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [34] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 3.2% ??? [23] 96.8% [28] 43588(81.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [43] 50.1% loop [35] 48.0% loop [44] 1.8% ----------------------------------------------------------------------- for-loop [45] 15.2% apply-match [24] 15.5% for-loop [19] 69.3% [29] 4584(8.5%) 2962(5.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [36] 24.5% for-loop [45] 15.5% list-cartesian-product [47] 1.9% ----------------------------------------------------------------------- apply-match [24] 100.0% [30] 1480(2.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [37] 73.0% loop! [67] 13.5% enode-merge! [41] 13.5% ----------------------------------------------------------------------- for-loop [25] 100.0% [31] 582(1.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [38] 100.0% ----------------------------------------------------------------------- taylor-alt [26] 100.0% [32] 394(0.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [39] 100.0% ----------------------------------------------------------------------- apply-match [24] 100.0% [33] 200(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [40] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [27] 100.0% [34] 194(0.4%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [42] 100.0% ----------------------------------------------------------------------- loop [28] 100.0% [35] 20944(39.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [44] 61.9% make-exacts* [43] 38.1% ----------------------------------------------------------------------- match-e [29] 100.0% [36] 1622(3.0%) 218(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [45] 48.0% list-cartesian-product [47] 26.0% curry* [49] 12.6% ----------------------------------------------------------------------- merge-egraph-nodes! [30] 100.0% [37] 1080(2.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [46] 100.0% ----------------------------------------------------------------------- atab-add-altn [31] 100.0% [38] 582(1.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 100.0% ----------------------------------------------------------------------- location-do [39] 33.8% for-loop [32] 66.2% [39] 394(0.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [48] 66.2% location-do [39] 33.8% ----------------------------------------------------------------------- for-loop [33] 100.0% [40] 200(0.4%) 200(0.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- merge-egraph-nodes! [30] 100.0% [41] 200(0.4%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [50] 100.0% ----------------------------------------------------------------------- ??? [34] 100.0% [42] 194(0.4%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [51] 100.0% ----------------------------------------------------------------------- loop [35] 26.8% loop [28] 73.2% [43] 29826(55.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [59] 54.5% map [52] 44.8% eval-prog [56] 0.7% ----------------------------------------------------------------------- loop [28] 5.9% loop [35] 94.1% [44] 13762(25.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [52] 100.0% ----------------------------------------------------------------------- for-loop [36] 43.3% match-e [29] 56.7% [45] 1796(3.3%) 402(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [29] 72.1% ??? [54] 11.1% ----------------------------------------------------------------------- update-leader! [37] 100.0% [46] 1080(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [53] 100.0% ----------------------------------------------------------------------- list-cartesian-product [47] 18.6% match-e [29] 29.4% for-loop [36] 52.0% [47] 598(1.1%) 598(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [47] 18.6% ----------------------------------------------------------------------- location-do [39] 100.0% [48] 394(0.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f16 [80] 50.8% loop [58] 49.2% ----------------------------------------------------------------------- for-loop [36] 100.0% [49] 204(0.4%) 204(0.4%) curry* ...racket/collects/racket/function.rkt:44:2 ----------------------------------------------------------------------- enode-merge! [41] 100.0% [50] 200(0.4%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [55] 100.0% ----------------------------------------------------------------------- best-alt [42] 100.0% [51] 194(0.4%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [57] 100.0% ----------------------------------------------------------------------- f16 [80] 0.7% make-exacts* [43] 48.9% loop [44] 50.4% [52] 27332(51.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [59] 98.5% ??? [74] 0.7% f16 [80] 0.4% make-multiplication-node [64] 0.4% ----------------------------------------------------------------------- for-loop [46] 100.0% [53] 1080(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [60] 100.0% ----------------------------------------------------------------------- for-loop [45] 100.0% [54] 200(0.4%) 200(0.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ----------------------------------------------------------------------- adopt-enode! [50] 100.0% [55] 200(0.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [63] 100.0% ----------------------------------------------------------------------- make-exacts* [43] 100.0% [56] 200(0.4%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [62] 100.0% ----------------------------------------------------------------------- argmins [51] 100.0% [57] 194(0.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [61] 100.0% ----------------------------------------------------------------------- approximate9 [48] 100.0% [58] 194(0.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ----------------------------------------------------------------------- map-enodes [16] 0.0% make-exacts* [43] 0.2% extract-alt [11] 0.3% loop! [67] 0.4% f16 [80] 0.4% map [52] 0.9% loop [59] 97.7% [59] 44674(83.3%) 164(0.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [59] 97.7% ??? [74] 1.1% simplify [68] 0.4% loop! [67] 0.4% simplify [3] 0.3% for-loop [69] 0.0% ----------------------------------------------------------------------- for-loop [53] 100.0% [60] 1080(2.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [65] 100.0% ----------------------------------------------------------------------- composed [57] 25.0% best-and-tied-at-points [38] 75.0% [61] 776(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [66] 100.0% ----------------------------------------------------------------------- ??? [73] 24.6% loop [58] 24.6% eval-prog [56] 50.8% [62] 394(0.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [72] 50.8% ??? [73] 24.6% simplify [68] 24.6% ----------------------------------------------------------------------- custom-set-union [55] 100.0% [63] 200(0.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [70] 100.0% ----------------------------------------------------------------------- map [52] 100.0% [64] 200(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [71]100.0% ----------------------------------------------------------------------- hash-update! [60] 100.0% [65] 1080(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [75] 100.0% ----------------------------------------------------------------------- errors [61] 100.0% [66] 776(1.4%) 194(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [74] 75.0% ----------------------------------------------------------------------- merge-egraph-nodes! [30] 16.0% apply-match [24] 28.6% loop [59] 55.4% [67] 624(1.2%) 222(0.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [59] 55.4% set [76] 26.8% ----------------------------------------------------------------------- hash-ref! [62] 49.2% loop [59] 50.8% [68] 394(0.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [80] 50.8% debug-print [81] 49.2% ----------------------------------------------------------------------- loop [59] 100.0% [69] 244(0.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [77] 100.0% ----------------------------------------------------------------------- for-loop [63] 100.0% [70] 200(0.4%) 200(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- make-multiplication-node [64] 100.0% [71] 200(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [78] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [72] 200(0.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [79] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [73] 194(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ----------------------------------------------------------------------- map [52] 0.5% for-loop [66] 1.3% loop [59] 98.2% [74] 43844(81.7%) 1308(2.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 92.9% real->bigfloat [83] 3.6% ??? [92] 0.5% ----------------------------------------------------------------------- ??? [65] 100.0% [75] 1080(2.0%) 1080(2.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- loop! [67] 100.0% [76] 402(0.7%) 402(0.7%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- for-loop [69] 100.0% [77] 244(0.5%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [84] 100.0% ----------------------------------------------------------------------- make-multiplication-subnode [71]100.0% [78] 200(0.4%) 200(0.4%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- bigfloat-hash [72] 100.0% [79] 200(0.4%) 200(0.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- simplify [68] 33.3% map [52] 33.3% approximate9 [48] 33.3% [80] 200(0.4%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [52] 66.7% loop [59] 33.3% ----------------------------------------------------------------------- simplify [68] 100.0% [81] 194(0.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [85] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [82] 40746(76.0%) 622(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 97.1% ...higher-order.rkt:373:33 [87] 0.9% ----------------------------------------------------------------------- ??? [74] 100.0% [83] 1566(2.9%) 886(1.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [91] 43.4% ----------------------------------------------------------------------- eval-const-expr [77] 100.0% [84] 244(0.5%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [88] 100.0% ----------------------------------------------------------------------- debug-print [81] 100.0% [85] 194(0.4%) 194(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- ??? [82] 100.0% [86] 39562(73.8%) 37266(69.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [93] 2.7% bflog1p [89] 1.9% ----------------------------------------------------------------------- ??? [82] 100.0% [87] 380(0.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 100.0% ----------------------------------------------------------------------- inductor [88] 50.0% expression-induct31 [84] 50.0% [88] 244(0.5%) 244(0.5%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [88] 50.0% ----------------------------------------------------------------------- ??? [86] 100.0% [89] 748(1.4%) 508(0.9%) bflog1p ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [91] 32.1% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [87] 100.0% [90] 380(0.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ----------------------------------------------------------------------- bflog1p [89] 26.1% real->bigfloat [83] 73.9% [91] 920(1.7%) 920(1.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [74] 37.1% ??? [90] 62.9% [92] 604(1.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ----------------------------------------------------------------------- ??? [92] 35.8% ??? [86] 64.2% [93] 1688(3.1%) 466(0.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [94] 72.4% ----------------------------------------------------------------------- ??? [93] 100.0% [94] 1222(2.3%) 230(0.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [95] 81.2% ----------------------------------------------------------------------- ??? [94] 100.0% [95] 992(1.8%) 992(1.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------