Profiling results ----------------- Total cpu time observed: 24564ms (out of 24968ms) Number of samples taken: 106 (once every 232ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 100 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [31] 100.0% [1] 23324(95.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------- ??? [31] 100.0% [2] 14184(57.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 95.6% get-final-combination [11] 4.4% --------------------------------------------------------------------- loop [67] 5.1% ??? [31] 94.9% [3] 12436(50.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 71.5% for-loop [10] 19.9% iterate-egraph!5 [14] 8.6% --------------------------------------------------------------------- loop [67] 100.0% [4] 244(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [69] 100.0% --------------------------------------------------------------------- hash-ref! [69] 100.0% [5] 220(0.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [73] 100.0% --------------------------------------------------------------------- hash-ref! [69] 100.0% [6] 220(0.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [12] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 23324(95.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 13554(55.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [9] 8888(36.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [10] 2480(10.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 91.9% loop [16] 8.1% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 630(2.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% --------------------------------------------------------------------- taylor-invert [6] 100.0% [12] 220(0.9%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [69] 100.0% --------------------------------------------------------------------- for-loop [8] 100.0% [13] 13554(55.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 87.1% gen-series! [19] 6.2% finalize-iter! [20] 4.9% localize-error [22] 1.8% --------------------------------------------------------------------- simplify [3] 8.7% for-loop [10] 18.6% simplify-expr [9] 72.6% [14] 12234(49.8%) 222(0.9%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 94.8% map-enodes [21] 3.4% --------------------------------------------------------------------- get-final-combination [11] 100.0% [15] 630(2.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% --------------------------------------------------------------------- for-loop [10] 100.0% [16] 202(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [23] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [17] 11806(48.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 11592(47.2%) 626(2.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 62.5% loop [26] 32.1% --------------------------------------------------------------------- run-iter! [13] 100.0% [19] 844(3.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [20] 660(2.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [21] 420(1.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [67] 52.4% for-loop [30] 47.6% --------------------------------------------------------------------- run-iter! [13] 100.0% [22] 244(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [69] 100.0% --------------------------------------------------------------------- loop [16] 100.0% [23] 202(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% --------------------------------------------------------------------- simplify! [17] 100.0% [24] 11806(48.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% --------------------------------------------------------------------- for-loop [25] 48.6% one-iter [18] 51.4% [25] 7250(29.5%) 2052(8.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 48.6% match-e [38] 35.8% --------------------------------------------------------------------- one-iter [18] 100.0% [26] 3716(15.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% --------------------------------------------------------------------- gen-series! [19] 100.0% [27] 844(3.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% --------------------------------------------------------------------- finalize-iter! [20] 100.0% [28] 660(2.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% --------------------------------------------------------------------- pass [23] 100.0% [29] 202(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [35] 100.0% --------------------------------------------------------------------- map-enodes [21] 100.0% [30] 200(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [36] 100.0% --------------------------------------------------------------------- for-loop [24] 16.7% run [7] 40.6% [31] 24144(98.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.6% run-improve58 [2] 21.7% loop [37] 21.0% simplify [3] 16.7% --------------------------------------------------------------------- loop [26] 100.0% [32] 3716(15.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [38] 38.4% for-loop [40] 22.1% merge-egraph-nodes! [45] 16.7% loop! [72] 11.9% substitute-e [42] 10.9% --------------------------------------------------------------------- for-loop [27] 100.0% [33] 844(3.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% --------------------------------------------------------------------- ??? [28] 100.0% [34] 660(2.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% --------------------------------------------------------------------- for-loop [29] 100.0% [35] 202(0.8%) 202(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- for-loop [30] 100.0% [36] 200(0.8%) 200(0.8%) compose ...collects/racket/private/list.rkt:385:12 --------------------------------------------------------------------- ??? [31] 100.0% [37] 9960(40.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 54.4% loop [43] 41.5% loop [52] 4.0% --------------------------------------------------------------------- for-loop [53] 8.3% apply-match [32] 16.8% for-loop [25] 74.9% [38] 6626(27.0%) 3772(15.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 39.1% custom-in-set [49] 3.0% curry* [50] 3.0% for-loop [53] 1.5% --------------------------------------------------------------------- taylor-alt [33] 100.0% [39] 844(3.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% --------------------------------------------------------------------- apply-match [32] 100.0% [40] 822(3.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [45] 51.3% loop! [72] 48.7% --------------------------------------------------------------------- for-loop [34] 100.0% [41] 660(2.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% --------------------------------------------------------------------- apply-match [32] 100.0% [42] 404(1.6%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [48] 100.0% --------------------------------------------------------------------- loop [37] 100.0% [43] 4136(16.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 55.8% make-exacts* [51] 38.9% eval-prog [62] 5.3% --------------------------------------------------------------------- match-e [38] 100.0% [44] 2862(11.7%) 1222(5.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 42.8% list-cartesian-product [56] 18.0% --------------------------------------------------------------------- for-loop [40] 40.5% apply-match [32] 59.5% [45] 1042(4.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [57] 59.5% for-loop [59] 21.3% loop! [72] 19.2% --------------------------------------------------------------------- location-do [46] 41.0% for-loop [39] 59.0% [46] 844(3.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 47.2% location-do [46] 41.0% ??? [60] 11.8% --------------------------------------------------------------------- atab-add-altn [41] 100.0% [47] 660(2.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [54] 100.0% --------------------------------------------------------------------- substitute-e [42] 100.0% [48] 404(1.6%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [58] 100.0% --------------------------------------------------------------------- match-e [38] 100.0% [49] 200(0.8%) 200(0.8%) custom-in-set ...acket/private/set-types.rkt:578:0 --------------------------------------------------------------------- match-e [38] 100.0% [50] 200(0.8%) 200(0.8%) curry* ...racket/collects/racket/function.rkt:44:2 --------------------------------------------------------------------- loop [43] 22.9% loop [37] 77.1% [51] 7032(28.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [67] 55.7% map [61] 44.3% --------------------------------------------------------------------- loop [37] 14.8% loop [43] 85.2% [52] 2708(11.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 100.0% --------------------------------------------------------------------- match-e [38] 7.0% for-loop [44] 93.0% [53] 1436(5.8%) 606(2.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 64.8% --------------------------------------------------------------------- best-and-tied-at-points [47] 100.0% [54] 660(2.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 63.9% eval-prog [62] 36.1% --------------------------------------------------------------------- location-do [46] 100.0% [55] 644(2.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [68] 65.8% loop [65] 34.2% --------------------------------------------------------------------- list-cartesian-product [56] 33.9% for-loop [44] 66.1% [56] 626(2.5%) 626(2.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [56] 33.9% --------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [57] 620(2.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [64] 67.7% make-sequence [66] 32.3% --------------------------------------------------------------------- mk-enode! [48] 100.0% [58] 404(1.6%) 404(1.6%) hash-has-key? ...et/private/more-scheme.rkt:368:13 --------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [59] 222(0.9%) 222(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- location-do [46] 100.0% [60] 200(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/glue.rkt:150:33 f94 [68] 100.0% --------------------------------------------------------------------- f94 [68] 6.8% loop [52] 43.4% make-exacts* [51] 49.8% [61] 6244(25.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 89.0% f94 [68] 6.8% ??? [71] 4.2% --------------------------------------------------------------------- loop [43] 48.0% errors [54] 52.0% [62] 458(1.9%) 458(1.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- errors [54] 100.0% [63] 422(1.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [71] 100.0% --------------------------------------------------------------------- update-leader! [57] 100.0% [64] 420(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [70] 100.0% --------------------------------------------------------------------- approximate9 [55] 100.0% [65] 220(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [69] 100.0% --------------------------------------------------------------------- update-leader! [57] 100.0% [66] 200(0.8%) 200(0.8%) make-sequence ...ects/racket/private/for.rkt:508:2 --------------------------------------------------------------------- map-enodes [21] 0.0% ??? [71] 0.1% make-exacts* [51] 0.1% parse-loop12 [73] 0.2% map [61] 0.5% extract-alt [15] 3.2% loop! [72] 3.3% loop [67] 92.6% [67] 11212(45.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 92.6% loop! [72] 3.3% simplify [3] 3.2% ??? [71] 0.6% ??? [4] 0.1% ??? [92] 0.1% real->bigfloat [80] 0.1% ->flonum [77] 0.0% --------------------------------------------------------------------- map [61] 19.7% approximate9 [55] 19.7% f94 [68] 28.6% ??? [60] 32.1% [68] 624(2.5%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 append-map [78] 32.1% f94 [68] 28.6% map [61] 19.7% taylor [74] 19.7% --------------------------------------------------------------------- first-nonzero-exp [12] 15.8% ??? [76] 15.8% loop [65] 15.8% ??? [4] 26.3% localize-error [22] 26.3% [69] 464(1.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [73] 52.6% ??? [76] 15.8% taylor-invert [6] 15.8% simplify [5] 15.8% --------------------------------------------------------------------- for-loop [64] 100.0% [70] 420(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [75] 100.0% --------------------------------------------------------------------- map [61] 2.7% for-loop [63] 4.2% loop [67] 93.1% [71] 9960(40.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 50.1% real->bigfloat [80] 30.6% loop [67] 14.4% ??? [96] 4.9% --------------------------------------------------------------------- merge-egraph-nodes! [45] 9.6% apply-match [32] 21.2% loop [67] 30.8% for-loop [40] 38.4% [72] 1042(4.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [67] 30.8% set [81] 30.8% custom-set-union [85] 19.2% update-en-expr [84] 19.2% --------------------------------------------------------------------- simplify [5] 47.4% hash-ref! [69] 52.6% [73] 464(1.9%) 220(0.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 52.6% --------------------------------------------------------------------- f94 [68] 100.0% [74] 424(1.7%) 222(0.9%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [83] 47.6% --------------------------------------------------------------------- for-loop [70] 100.0% [75] 420(1.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [82] 100.0% --------------------------------------------------------------------- hash-ref! [69] 100.0% [76] 220(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [69] 100.0% --------------------------------------------------------------------- loop [67] 100.0% [77] 202(0.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 100.0% --------------------------------------------------------------------- f94 [68] 100.0% [78] 200(0.8%) 200(0.8%) append-map ...acket/collects/racket/list.rkt:565:2 --------------------------------------------------------------------- ??? [71] 100.0% [79] 4988(20.3%) 462(1.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 61.3% ...higher-order.rkt:373:33 [87] 14.0% bf* [88] 11.0% ??? [90] 4.4% --------------------------------------------------------------------- loop [67] 32.0% ??? [71] 68.0% [80] 4488(18.3%) 3108(12.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [86] 30.7% --------------------------------------------------------------------- loop! [72] 100.0% [81] 642(2.6%) 642(2.6%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- hash-update! [75] 100.0% [82] 420(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [89] 100.0% --------------------------------------------------------------------- taylor [74] 100.0% [83] 202(0.8%) 202(0.8%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 --------------------------------------------------------------------- loop! [72] 100.0% [84] 200(0.8%) 200(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- loop! [72] 100.0% [85] 200(0.8%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [91] 100.0% --------------------------------------------------------------------- real->bigfloat [80] 100.0% [86] 1380(5.6%) 1380(5.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [79] 100.0% [87] 696(2.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% --------------------------------------------------------------------- ??? [79] 100.0% [88] 550(2.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% --------------------------------------------------------------------- ??? [82] 100.0% [89] 420(1.7%) 420(1.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- ??? [79] 100.0% [90] 220(0.9%) 220(0.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- custom-set-union [85] 100.0% [91] 200(0.8%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [94] 100.0% --------------------------------------------------------------------- loop [67] 6.3% bf* [88] 14.3% ??? [79] 79.4% [92] 3854(15.7%) 692(2.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [95] 50.1% ??? [98] 20.1% bfsqr [97] 11.8% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [87]100.0% [93] 696(2.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% --------------------------------------------------------------------- for-loop [91] 100.0% [94] 200(0.8%) 200(0.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- ??? [92] 100.0% [95] 1932(7.9%) 1932(7.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 --------------------------------------------------------------------- ??? [71] 41.0% ??? [93] 59.0% [96] 1180(4.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% --------------------------------------------------------------------- ??? [92] 100.0% [97] 456(1.9%) 456(1.9%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 --------------------------------------------------------------------- ->flonum [77] 9.4% ??? [92] 35.9% ??? [96] 54.7% [98] 2156(8.8%) 896(3.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 58.4% --------------------------------------------------------------------- ??? [98] 100.0% [99] 1260(5.1%) 1260(5.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 ---------------------------------------------------------------------