Profiling results ----------------- Total cpu time observed: 32742ms (out of 33336ms) Number of samples taken: 140 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 100 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [35] 100.0% [1] 31288(95.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% --------------------------------------------------------------------- ??? [35] 100.0% [2] 11452(35.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 88.8% get-final-combination [13] 6.7% loop [39] 4.5% --------------------------------------------------------------------- loop [71] 8.2% ??? [35] 91.8% [3] 9348(28.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 37.0% iterate-egraph!5 [17] 32.3% for-loop [12] 30.7% --------------------------------------------------------------------- hash-ref! [80] 100.0% [4] 652(2.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [71] 100.0% --------------------------------------------------------------------- f6 [65] 48.1% hash-ref! [80] 51.9% [5] 374(1.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [14] 51.9% simplify [19] 48.1% --------------------------------------------------------------------- f6 [65] 100.0% [6] 220(0.7%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [71] 100.0% --------------------------------------------------------------------- f6 [65] 100.0% [7] 202(0.6%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [14] 100.0% --------------------------------------------------------------------- hash-ref! [80] 100.0% [8] 202(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 31288(95.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 10170(31.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [11] 3460(10.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [12] 2866(8.8%) 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] 766(2.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% --------------------------------------------------------------------- taylor-sqrt [5] 49.0% taylor-invert [7] 51.0% [14] 396(1.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [80] 51.0% simplify [19] 49.0% --------------------------------------------------------------------- ??? [8] 100.0% [15] 202(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [80] 100.0% --------------------------------------------------------------------- for-loop [10] 100.0% [16] 10170(31.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 84.4% gen-series! [22] 7.8% finalize-iter! [24] 5.7% localize-error [26] 2.1% --------------------------------------------------------------------- for-loop [12] 30.7% simplify [3] 32.3% simplify-expr [11] 37.0% [17] 9348(28.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 92.6% map-enodes [23] 7.4% --------------------------------------------------------------------- get-final-combination [13] 100.0% [18] 766(2.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [71] 100.0% --------------------------------------------------------------------- taylor-sqrt [5] 31.2% first-nonzero-exp [14] 33.7% hash-ref! [80] 35.1% [19] 576(1.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [27] 35.1% f6 [65] 33.7% parse-loop12 [25] 31.2% --------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [20] 8652(26.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 74.1% loop [30] 21.4% loop [33] 4.5% --------------------------------------------------------------------- run-iter! [16] 100.0% [21] 8582(26.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% --------------------------------------------------------------------- run-iter! [16] 100.0% [22] 796(2.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [23] 696(2.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [71] 68.1% for-loop [74] 31.9% --------------------------------------------------------------------- run-iter! [16] 100.0% [24] 578(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% --------------------------------------------------------------------- simplify [19] 45.7% hash-ref! [80] 54.3% [25] 394(1.2%) 180(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [71] 40.7% loop [34] 13.6% --------------------------------------------------------------------- run-iter! [16] 100.0% [26] 214(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [80] 100.0% --------------------------------------------------------------------- simplify [19] 100.0% [27] 202(0.6%) 202(0.6%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 --------------------------------------------------------------------- simplify! [21] 100.0% [28] 8582(26.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 100.0% --------------------------------------------------------------------- for-loop [29] 50.0% one-iter [20] 50.0% [29] 6414(19.6%) 1076(3.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 50.0% match-e [40] 39.9% ??? [62] 1.7% --------------------------------------------------------------------- one-iter [20] 100.0% [30] 1850(5.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [36] 100.0% --------------------------------------------------------------------- gen-series! [22] 100.0% [31] 796(2.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% --------------------------------------------------------------------- finalize-iter! [24] 100.0% [32] 578(1.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [38] 100.0% --------------------------------------------------------------------- one-iter [20] 100.0% [33] 388(1.2%) 388(1.2%) loop ...ket/collects/racket/private/list.rkt:264:4 --------------------------------------------------------------------- parse-loop12 [25] 1.6% loop [34] 98.4% [34] 214(0.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [34] 98.4% ->flonum [75] 1.6% --------------------------------------------------------------------- for-loop [28] 9.3% run [9] 44.9% [35] 31882(97.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.9% loop [39] 32.0% run-improve58 [2] 13.8% simplify [3] 9.3% --------------------------------------------------------------------- loop [30] 100.0% [36] 1850(5.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [41] 56.0% match-e [40] 31.7% loop! [76] 12.3% --------------------------------------------------------------------- for-loop [31] 100.0% [37] 796(2.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% --------------------------------------------------------------------- ??? [32] 100.0% [38] 578(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% --------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [35] 97.5% [39] 20946(64.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 39.8% loop [44] 38.9% loop [52] 21.3% --------------------------------------------------------------------- apply-match [36] 4.6% for-loop [53] 17.5% for-loop [29] 78.0% [40] 5704(17.4%) 3730(11.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 36.7% for-loop [53] 6.6% list-cartesian-product [56] 3.8% --------------------------------------------------------------------- apply-match [36] 100.0% [41] 1036(3.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [46] 77.8% enode-merge! [49] 22.2% --------------------------------------------------------------------- taylor-alt [37] 100.0% [42] 796(2.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% --------------------------------------------------------------------- for-loop [38] 100.0% [43] 578(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 69.2% loop [50] 30.8% --------------------------------------------------------------------- loop [39] 100.0% [44] 8152(24.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 48.7% make-exacts* [51] 40.6% eval-prog [60] 10.7% --------------------------------------------------------------------- match-e [40] 100.0% [45] 2558(7.8%) 746(2.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 54.8% list-cartesian-product [56] 11.5% loop [71] 8.1% --------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [46] 806(2.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [55] 77.7% custom-set-union! [59] 22.3% --------------------------------------------------------------------- loop [54] 14.1% for-loop [42] 38.1% location-do [47] 47.8% [47] 796(2.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [47] 47.8% loop [54] 38.1% approximate9 [61] 14.1% --------------------------------------------------------------------- atab-add-altn [43] 100.0% [48] 400(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [57] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [49] 230(0.7%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [58] 100.0% --------------------------------------------------------------------- atab-add-altn [43] 100.0% [50] 178(0.5%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [71] 100.0% --------------------------------------------------------------------- loop [44] 28.4% loop [39] 71.6% [51] 11652(35.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [71] 57.9% map [69] 42.1% --------------------------------------------------------------------- loop [44] 47.1% loop [39] 52.9% [52] 8420(25.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [69] 100.0% --------------------------------------------------------------------- match-e [40] 32.0% for-loop [45] 68.0% [53] 2338(7.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 82.4% ??? [62] 17.6% --------------------------------------------------------------------- loop [54] 50.0% location-do [47] 50.0% [54] 796(2.4%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [54] 50.0% location-do [47] 26.0% approximate9 [61] 24.0% --------------------------------------------------------------------- update-leader! [46] 100.0% [55] 626(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [63] 100.0% --------------------------------------------------------------------- match-e [40] 17.7% for-loop [45] 32.3% list-cartesian-product [56] 50.0% [56] 610(1.9%) 610(1.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [56] 50.0% --------------------------------------------------------------------- best-and-tied-at-points [48] 100.0% [57] 400(1.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [60] 53.5% for-loop [64] 46.5% --------------------------------------------------------------------- enode-merge! [49] 100.0% [58] 230(0.7%) 230(0.7%) custom-set-intersect! ...ivate/set-types.rkt:270:0 --------------------------------------------------------------------- update-leader! [46] 100.0% [59] 180(0.5%) 180(0.5%) custom-set-union! ...t/private/set-types.rkt:246:0 --------------------------------------------------------------------- errors [57] 19.7% loop [44] 80.3% [60] 1088(3.3%) 436(1.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [80] 59.9% --------------------------------------------------------------------- loop [54] 48.0% location-do [47] 52.0% [61] 796(2.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [65] 50.3% loop [68] 49.7% --------------------------------------------------------------------- for-loop [29] 34.8% for-loop [53] 65.2% [62] 632(1.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [66] 100.0% --------------------------------------------------------------------- for-loop [55] 100.0% [63] 626(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% --------------------------------------------------------------------- errors [57] 100.0% [64] 186(0.6%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 100.0% --------------------------------------------------------------------- map [69] 8.9% approximate9 [61] 16.2% simplify [19] 19.2% f6 [65] 24.5% hash-ref! [80] 31.2% [65] 1010(3.1%) 194(0.6%) f6 ...et/collects/racket/match/compiler.rkt:499:40 f6 [65] 24.5% map [69] 19.5% hash-ref! [80] 10.6% taylor-invert [7] 10.0% taylor-sqrt [5] 8.9% taylor [6] 7.3% --------------------------------------------------------------------- ??? [62] 100.0% [66] 632(1.9%) 632(1.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 --------------------------------------------------------------------- for-loop [63] 100.0% [67] 626(1.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% --------------------------------------------------------------------- approximate9 [61] 100.0% [68] 396(1.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [80] 100.0% --------------------------------------------------------------------- f6 [65] 2.9% make-exacts* [51] 35.7% loop [52] 61.4% [69] 13716(41.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [71] 97.1% ??? [77] 1.6% f6 [65] 1.3% --------------------------------------------------------------------- hash-update! [67] 100.0% [70] 626(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [72] 100.0% --------------------------------------------------------------------- loop [50] 0.0% map-enodes [23] 0.4% loop! [76] 0.5% map [69] 0.6% for-loop [45] 0.9% parse-loop12 [25] 0.9% taylor [6] 0.9% extract-alt [18] 1.1% make-exacts* [51] 1.5% ??? [4] 2.4% loop [71] 90.8% [71] 23206(70.9%) 398(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [71] 90.8% hash-ref! [80] 2.4% ??? [73] 2.1% simplify [3] 1.1% ??? [77] 0.9% loop! [76] 0.5% for-loop [74] 0.4% ->flonum [75] 0.0% --------------------------------------------------------------------- ??? [70] 100.0% [72] 626(1.9%) 626(1.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- for-loop [64] 0.9% loop [71] 99.1% [73] 20196(61.7%) 658(2.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 75.9% real->bigfloat [79] 10.5% ??? [93] 9.0% --------------------------------------------------------------------- map-enodes [23] 31.9% loop [71] 68.1% [74] 696(2.1%) 256(0.8%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [81] 63.2% --------------------------------------------------------------------- loop [34] 45.3% loop [71] 54.7% [75] 472(1.4%) 258(0.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [95] 45.3% --------------------------------------------------------------------- loop [71] 50.0% apply-match [36] 50.0% [76] 228(0.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [71] 50.0% custom-set-union [82] 50.0% --------------------------------------------------------------------- map [69] 25.0% loop [71] 75.0% [77] 214(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [80] 100.0% --------------------------------------------------------------------- ??? [73] 100.0% [78] 15338(46.8%) 452(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [83] 50.1% ??? [88] 38.3% ...higher-order.rkt:373:33 [84] 8.6% --------------------------------------------------------------------- ??? [73] 100.0% [79] 2122(6.5%) 1632(5.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 23.1% --------------------------------------------------------------------- f6 [65] 2.8% localize-error [26] 2.8% for-loop [15] 3.2% first-nonzero-exp [14] 3.2% loop [68] 8.3% ??? [77] 11.3% eval-prog [60] 11.3% ??? [87] 16.7% loop [71] 40.3% [80] 1262(3.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 40.3% ??? [87] 16.7% bigfloat-hash [85] 11.3% parse-loop12 [25] 11.3% f6 [65] 8.9% taylor-sqrt [5] 5.1% ??? [8] 3.2% simplify [19] 3.2% --------------------------------------------------------------------- for-loop [74] 100.0% [81] 440(1.3%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [86] 100.0% --------------------------------------------------------------------- loop! [76] 100.0% [82] 228(0.7%) 228(0.7%) custom-set-union ...et/private/set-types.rkt:168:0 --------------------------------------------------------------------- ??? [78] 100.0% [83] 7686(23.5%) 190(0.6%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [88] 97.5% --------------------------------------------------------------------- ??? [78] 100.0% [84] 1320(4.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 100.0% --------------------------------------------------------------------- hash-ref! [80] 100.0% [85] 652(2.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [90] 70.2% bfcanonicalize [91] 29.8% --------------------------------------------------------------------- setfindf [81] 100.0% [86] 440(1.3%) 440(1.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 --------------------------------------------------------------------- hash-ref! [80] 100.0% [87] 396(1.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [80] 100.0% --------------------------------------------------------------------- ??? [78] 44.0% bf* [83] 56.0% [88] 13376(40.9%) 974(3.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [92] 73.1% ??? [95] 11.4% bfsqrt [94] 8.3% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [84]100.0% [89] 1320(4.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 100.0% --------------------------------------------------------------------- bigfloat-hash [85] 100.0% [90] 458(1.4%) 206(0.6%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [96] 55.0% --------------------------------------------------------------------- bigfloat-hash [85] 100.0% [91] 194(0.6%) 194(0.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- ??? [88] 100.0% [92] 9774(29.9%) 6556(20.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 32.9% --------------------------------------------------------------------- ??? [89] 42.1% ??? [73] 57.9% [93] 3138(9.6%) 176(0.5%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 94.4% --------------------------------------------------------------------- ??? [88] 100.0% [94] 1108(3.4%) 666(2.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 39.9% --------------------------------------------------------------------- ->flonum [75] 4.6% ??? [88] 32.4% ??? [93] 63.1% [95] 4696(14.3%) 2244(6.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 52.2% --------------------------------------------------------------------- sig+exp->bigfloat [90] 5.7% bfsqrt [94] 10.0% real->bigfloat [79] 11.1% bfadd [92] 73.1% [96] 4402(13.4%) 4402(13.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [95] 100.0% [97] 2452(7.5%) 1312(4.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 46.5% --------------------------------------------------------------------- ??? [97] 100.0% [98] 1140(3.5%) 1140(3.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------