Profiling results ----------------- Total cpu time observed: 20250ms (out of 20728ms) Number of samples taken: 87 (once every 233ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [31] 100.0% [1] 19628(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [31] 100.0% [2] 5014(24.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 88.1% loop [35] 7.9% get-final-combination [13] 4.0% ---------------------------------------------------------------------- loop [59] 5.6% ??? [31] 94.4% [3] 3596(17.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 77.2% for-loop [12] 11.7% iterate-egraph!5 [17] 11.1% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [4] 1018(5.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [59] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [5] 422(2.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [6] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [7] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 19628(96.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 4418(21.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 2776(13.7%) 220(1.1%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 92.1% ---------------------------------------------------------------------- ??? [5] 100.0% [11] 422(2.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [70] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 420(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 200(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [14] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [70] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [15] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [19] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [16] 4418(21.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 76.9% gen-series! [22] 14.1% finalize-iter! [24] 4.5% localize-error [25] 4.5% ---------------------------------------------------------------------- simplify [3] 11.8% for-loop [12] 12.4% simplify-expr [10] 75.7% [17] 3376(16.7%) 200(1.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [21] 87.5% map-enodes [23] 6.6% ---------------------------------------------------------------------- get-final-combination [13] 100.0% [18] 200(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [59] 100.0% ---------------------------------------------------------------------- for-loop [15] 100.0% [19] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [70] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [20] 3396(16.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [21] 2954(14.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [27] 50.4% for-loop [28] 49.6% ---------------------------------------------------------------------- run-iter! [16] 100.0% [22] 622(3.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [23] 222(1.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [59] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [24] 200(1.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [25] 200(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ---------------------------------------------------------------------- simplify! [20] 100.0% [26] 3396(16.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% ---------------------------------------------------------------------- one-iter [21] 100.0% [27] 1488(7.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% ---------------------------------------------------------------------- for-loop [28] 50.0% one-iter [21] 50.0% [28] 1466(7.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [36] 50.0% ---------------------------------------------------------------------- gen-series! [22] 100.0% [29] 622(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ---------------------------------------------------------------------- finalize-iter! [24] 100.0% [30] 200(1.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% ---------------------------------------------------------------------- for-loop [26] 5.6% run [8] 46.2% [31] 20036(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.2% loop [35] 38.5% run-improve58 [2] 9.7% simplify [3] 5.6% ---------------------------------------------------------------------- loop [27] 100.0% [32] 1488(7.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [36] 42.1% update-leader! [50] 14.9% loop! [66] 14.8% for-loop [38] 14.8% merge-egraph-nodes! [43] 13.4% ---------------------------------------------------------------------- for-loop [29] 100.0% [33] 622(3.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ---------------------------------------------------------------------- ??? [30] 100.0% [34] 200(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.6% ??? [31] 97.4% [35] 15418(76.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [40] 51.7% make-exacts* [46] 34.9% loop [47] 13.4% ---------------------------------------------------------------------- apply-match [32] 19.8% for-loop [48] 20.7% for-loop [28] 59.5% [36] 2092(10.3%) 1248(6.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 35.0% for-loop [48] 11.1% list-cartesian-product [44] 4.8% ---------------------------------------------------------------------- taylor-alt [33] 100.0% [37] 622(3.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [42] 100.0% ---------------------------------------------------------------------- apply-match [32] 100.0% [38] 220(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [43] 100.0% ---------------------------------------------------------------------- for-loop [34] 100.0% [39] 200(1.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% ---------------------------------------------------------------------- loop [35] 100.0% [40] 7968(39.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [47] 63.4% make-exacts* [46] 23.9% eval-prog [54] 12.8% ---------------------------------------------------------------------- match-e [36] 100.0% [41] 1046(5.2%) 642(3.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [48] 38.6% ---------------------------------------------------------------------- location-do [42] 16.1% for-loop [37] 83.9% [42] 622(3.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [49] 83.9% location-do [42] 16.1% ---------------------------------------------------------------------- apply-match [32] 47.6% for-loop [38] 52.4% [43] 420(2.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 52.4% enode-merge! [51] 47.6% ---------------------------------------------------------------------- match-e [36] 100.0% [44] 202(1.0%) 202(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- atab-add-altn [39] 100.0% [45] 200(1.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [52] 100.0% ---------------------------------------------------------------------- loop [40] 26.1% loop [35] 73.9% [46] 7280(36.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [53] 59.4% loop [59] 37.6% eval-prog [54] 3.1% ---------------------------------------------------------------------- loop [35] 29.1% loop [40] 70.9% [47] 7120(35.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [53] 100.0% ---------------------------------------------------------------------- for-loop [41] 46.5% match-e [36] 53.5% [48] 868(4.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 100.0% ---------------------------------------------------------------------- location-do [42] 100.0% [49] 622(3.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [55] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [43] 49.8% apply-match [32] 50.2% [50] 442(2.2%) 220(1.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [56] 50.2% ---------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [51] 200(1.0%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [57] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [52] 200(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [58] 100.0% ---------------------------------------------------------------------- make-exacts* [46] 37.8% loop [47] 62.2% [53] 11442(56.5%) 200(1.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [59] 96.5% ->flonum [63] 1.8% ---------------------------------------------------------------------- make-exacts* [46] 18.0% loop [40] 82.0% [54] 1242(6.1%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [70] 82.0% inductor [89] 18.0% ---------------------------------------------------------------------- approximate9 [49] 100.0% [55] 622(3.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ---------------------------------------------------------------------- update-leader! [50] 100.0% [56] 222(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [60] 100.0% ---------------------------------------------------------------------- enode-merge! [51] 100.0% [57] 200(1.0%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [61] 100.0% ---------------------------------------------------------------------- errors [52] 100.0% [58] 200(1.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [62] 100.0% ---------------------------------------------------------------------- make-exacts* [46] 0.1% extract-alt [18] 0.6% loop! [66] 0.7% parse-loop12 [88] 1.3% map-enodes [23] 1.4% map [53] 3.0% ??? [4] 6.4% loop [59] 86.5% [59] 15844(78.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [59] 86.5% hash-ref! [70] 6.4% ??? [62] 3.1% for-loop [65] 1.4% ??? [67] 1.3% loop! [66] 0.7% simplify [3] 0.6% ->flonum [63] 0.1% ---------------------------------------------------------------------- for-loop [56] 100.0% [60] 222(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [64] 100.0% ---------------------------------------------------------------------- adopt-enode! [57] 100.0% [61] 200(1.0%) 200(1.0%) custom-set-union ...et/private/set-types.rkt:168:0 ---------------------------------------------------------------------- for-loop [58] 1.5% loop [59] 98.5% [62] 13332(65.8%) 888(4.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [68] 65.9% real->bigfloat [69] 22.5% ??? [91] 5.0% ---------------------------------------------------------------------- map [53] 19.5% loop [59] 80.5% [63] 1058(5.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 59.9% ??? [71] 21.2% ??? [75] 18.9% ---------------------------------------------------------------------- for-loop [60] 100.0% [64] 222(1.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [72] 100.0% ---------------------------------------------------------------------- loop [59] 100.0% [65] 222(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [73] 100.0% ---------------------------------------------------------------------- loop [59] 50.0% apply-match [32] 50.0% [66] 220(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [59] 50.0% set [74] 50.0% ---------------------------------------------------------------------- loop [59] 100.0% [67] 200(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 100.0% ---------------------------------------------------------------------- ??? [62] 100.0% [68] 8782(43.4%) 200(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [85] 43.0% bf* [76] 24.0% ...higher-order.rkt:369:33 [77] 16.1% ...higher-order.rkt:373:33 [78] 12.1% bf<= [82] 2.6% ---------------------------------------------------------------------- ??? [62] 100.0% [69] 2998(14.8%) 2770(13.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 7.6% ---------------------------------------------------------------------- for-loop [19] 2.2% for-loop [14] 2.2% ??? [67] 5.4% localize-error [25] 5.4% for-loop [11] 6.2% ??? [81] 11.6% loop [55] 11.6% eval-prog [54] 20.3% loop [59] 35.1% [70] 1840(9.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 35.1% bigfloat-hash [79] 20.3% ??? [81] 11.6% simplify [80] 11.6% parse-loop12 [88] 10.9% ??? [5] 6.2% ??? [7] 2.2% ??? [6] 2.2% ---------------------------------------------------------------------- ->flonum [63] 100.0% [71] 224(1.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [99] 100.0% ---------------------------------------------------------------------- hash-update! [64] 100.0% [72] 222(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [83] 100.0% ---------------------------------------------------------------------- for-loop [65] 100.0% [73] 222(1.1%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [84] 100.0% ---------------------------------------------------------------------- loop! [66] 100.0% [74] 220(1.1%) 220(1.1%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ->flonum [63] 100.0% [75] 200(1.0%) 200(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [68] 100.0% [76] 2110(10.4%) 200(1.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [85] 90.5% ---------------------------------------------------------------------- ??? [68] 100.0% [77] 1410(7.0%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [91] 50.8% ??? [86] 49.2% ---------------------------------------------------------------------- ??? [68] 100.0% [78] 1064(5.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [86] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [79] 1018(5.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [87] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [80] 622(3.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [88] 64.3% debug-print [90] 35.7% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [81] 622(3.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ---------------------------------------------------------------------- ??? [68] 100.0% [82] 224(1.1%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [98] 100.0% ---------------------------------------------------------------------- ??? [72] 100.0% [83] 222(1.1%) 222(1.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- eval-const-expr [73] 100.0% [84] 222(1.1%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [89] 100.0% ---------------------------------------------------------------------- bf* [76] 33.6% ??? [68] 66.4% [85] 5684(28.1%) 456(2.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [92] 46.2% ??? [98] 23.4% bfsqr [93] 22.4% ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [77] 39.5% ...higher-order.rkt:373:33 [78] 60.5% [86] 1758(8.7%) 224(1.1%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [91] 87.3% ---------------------------------------------------------------------- bigfloat-hash [79] 100.0% [87] 1018(5.0%) 1018(5.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- parse-loop12 [88] 26.7% hash-ref! [70] 33.3% simplify [80] 40.0% [88] 600(3.0%) 200(1.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 parse-app [96] 33.3% parse-loop12 [88] 26.7% loop [59] 16.7% loop [97] 16.7% ---------------------------------------------------------------------- eval-prog [54] 16.7% expression-induct31 [84] 24.9% inductor [89] 58.4% [89] 446(2.2%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [89] 58.4% integer->bigfloat [94] 41.6% ---------------------------------------------------------------------- simplify [80] 100.0% [90] 222(1.1%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [95] 100.0% ---------------------------------------------------------------------- ??? [62] 22.8% ...higher-order.rkt:369:33 [77] 24.6% ??? [86] 52.6% [91] 2914(14.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [92] 2624(13.0%) 1460(7.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 44.4% ---------------------------------------------------------------------- ??? [85] 100.0% [93] 1276(6.3%) 1118(5.5%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 12.4% ---------------------------------------------------------------------- inductor [89] 100.0% [94] 446(2.2%) 224(1.1%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ??? [99] 49.8% ---------------------------------------------------------------------- debug-print [90] 100.0% [95] 222(1.1%) 222(1.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- parse-loop12 [88] 100.0% [96] 200(1.0%) 200(1.0%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- parse-loop12 [88] 1.3% loop [97] 98.7% [97] 200(1.0%) 200(1.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [97] 98.7% ---------------------------------------------------------------------- bf<= [82] 4.4% ->flonum [63] 12.4% ??? [85] 26.0% ??? [91] 57.1% [98] 5100(25.2%) 2734(13.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 41.1% ??? [101] 5.3% ---------------------------------------------------------------------- bfsqr [93] 7.9% integer->bigfloat [94] 11.1% ??? [71] 11.2% real->bigfloat [69] 11.4% bfadd [92] 58.3% [99] 1996(9.9%) 1996(9.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [98] 100.0% [100] 2096(10.4%) 1482(7.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 29.3% ---------------------------------------------------------------------- ??? [98] 100.0% [101] 270(1.3%) 270(1.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ---------------------------------------------------------------------- ??? [100] 100.0% [102] 614(3.0%) 614(3.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------