Profiling results ----------------- Total cpu time observed: 26250ms (out of 26808ms) Number of samples taken: 105 (once every 250ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 97 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [29] 100.0% [1] 26048(99.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [2] 6522(24.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 62.3% finalize-table! [9] 31.4% loop [34] 6.3% ----------------------------------------------------------------------- ??? [29] 100.0% [3] 2750(10.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [11] 45.5% simplify-expr [10] 38.5% iterate-egraph!5 [14] 16.0% ----------------------------------------------------------------------- loop [50] 100.0% [4] 804(3.1%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ----------------------------------------------------------------------- loop [50] 100.0% [5] 220(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [56] 100.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [6] 212(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.2% [7] 26250(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 4060(15.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 2048(7.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [4] 43.2% simplify [3] 56.8% [10] 1862(7.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 1252(4.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [12] 212(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [16] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [13] 4060(15.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 67.7% finalize-iter! [19] 27.0% gen-series! [22] 5.2% ----------------------------------------------------------------------- simplify [3] 12.4% for-loop [11] 35.2% simplify-expr [10] 52.4% [14] 3554(13.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 82.9% map-enodes [21] 17.1% ----------------------------------------------------------------------- finalize-table! [9] 100.0% [15] 2048(7.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [50] 50.0% for-loop [20] 30.4% ??? [25] 19.6% ----------------------------------------------------------------------- for-loop [12] 100.0% [16] 212(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [56] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [17] 2948(11.2%) 200(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 65.1% loop [27] 21.3% apply-match [33] 6.9% ----------------------------------------------------------------------- run-iter! [13] 100.0% [18] 2750(10.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 1098(4.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% ----------------------------------------------------------------------- post-process [15] 100.0% [20] 622(2.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [26] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [21] 606(2.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [50] 66.7% set-precompute! [58] 33.3% ----------------------------------------------------------------------- run-iter! [13] 100.0% [22] 212(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ----------------------------------------------------------------------- simplify! [18] 100.0% [23] 2750(10.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ----------------------------------------------------------------------- for-loop [24] 50.0% one-iter [17] 50.0% [24] 1918(7.3%) 634(2.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [31] 33.5% ----------------------------------------------------------------------- post-process [15] 26.8% finalize-iter! [19] 73.2% [25] 1500(5.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 100.0% ----------------------------------------------------------------------- f66 [78] 25.4% for-loop [20] 74.6% [26] 834(3.2%) 212(0.8%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [32] 74.6% f66 [78] 12.7% ----------------------------------------------------------------------- one-iter [17] 100.0% [27] 628(2.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% ----------------------------------------------------------------------- gen-series! [22] 100.0% [28] 212(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ----------------------------------------------------------------------- for-loop [23] 3.5% run [7] 48.6% [29] 26250(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.9% loop [34] 38.0% run-improve58 [2] 10.7% simplify [3] 3.5% ----------------------------------------------------------------------- ??? [25] 100.0% [30] 1500(5.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [35] 100.0% ----------------------------------------------------------------------- for-loop [24] 100.0% [31] 1284(4.9%) 1284(4.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 ----------------------------------------------------------------------- for-loop [28] 25.4% append-map [26] 74.6% [32] 834(3.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [36] 100.0% ----------------------------------------------------------------------- one-iter [17] 24.3% loop [27] 75.7% [33] 830(3.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [37] 51.1% loop! [57] 48.9% ----------------------------------------------------------------------- run-improve58 [2] 2.1% ??? [29] 97.9% [34] 20142(76.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [38] 58.0% make-exacts* [42] 33.8% loop [43] 7.3% ----------------------------------------------------------------------- for-loop [30] 100.0% [35] 1500(5.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [39] 100.0% ----------------------------------------------------------------------- taylor-alt [32] 100.0% [36] 834(3.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [40] 100.0% ----------------------------------------------------------------------- apply-match [33] 100.0% [37] 424(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [57] 52.4% mk-enode! [41] 47.6% ----------------------------------------------------------------------- loop [34] 100.0% [38] 11674(44.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [42] 50.1% loop [43] 48.1% ----------------------------------------------------------------------- atab-add-altn [35] 100.0% [39] 1500(5.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [44] 100.0% ----------------------------------------------------------------------- location-do [40] 29.6% for-loop [36] 70.4% [40] 834(3.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [45] 70.4% location-do [40] 29.6% ----------------------------------------------------------------------- for-loop [37] 100.0% [41] 202(0.8%) 202(0.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- loop [38] 46.2% loop [34] 53.8% [42] 12656(48.2%) 192(0.7%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [46] 59.5% loop [50] 39.0% ----------------------------------------------------------------------- loop [34] 20.7% loop [38] 79.3% [43] 7074(26.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [46] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [44] 1500(5.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [47] 100.0% ----------------------------------------------------------------------- location-do [40] 100.0% [45] 834(3.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [48] 76.0% taylor-sqrt [49] 24.0% ----------------------------------------------------------------------- f66 [78] 4.1% loop [43] 46.5% make-exacts* [42] 49.4% [46] 15220(58.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [50] 94.5% ??? [52] 1.4% ??? [55] 1.4% ??? [53] 1.3% simplify-node [54] 1.3% ----------------------------------------------------------------------- errors [44] 100.0% [47] 1500(5.7%) 222(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [55] 69.3% ulp-difference [51] 15.9% ----------------------------------------------------------------------- approximate9 [45] 100.0% [48] 634(2.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [56] 100.0% ----------------------------------------------------------------------- approximate9 [45] 100.0% [49] 200(0.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [70] 100.0% ----------------------------------------------------------------------- parse-loop12 [86] 0.0% make-exacts* [42] 0.2% loop! [57] 0.2% map-enodes [21] 0.6% post-process [15] 0.7% ??? [55] 1.3% map [46] 2.4% loop [50] 94.7% [50] 20986(79.9%) 696(2.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [50] 94.7% ??? [55] 2.6% ??? [84] 1.1% completely-simplify-alt [4] 0.7% set-precompute! [58] 0.5% real->bigfloat [62] 0.2% loop! [57] 0.2% for-loop [59] 0.1% localize-error [5] 0.0% ...higher-order.rkt:373:33 [72] 0.0% ----------------------------------------------------------------------- for-loop [47] 100.0% [51] 238(0.9%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [73] 100.0% ----------------------------------------------------------------------- map [46] 100.0% [52] 220(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [56] 100.0% ----------------------------------------------------------------------- map [46] 100.0% [53] 202(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [60] 100.0% ----------------------------------------------------------------------- map [46] 100.0% [54] 200(0.8%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f66 [78] 100.0% ----------------------------------------------------------------------- map [46] 1.0% for-loop [47] 5.1% loop [50] 93.9% [55] 20578(78.4%) 510(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [61] 47.1% real->bigfloat [62] 29.5% loop [50] 15.3% ??? [84] 5.6% ----------------------------------------------------------------------- ??? [16] 5.0% ??? [52] 12.9% localize-error [5] 12.9% ??? [64] 16.8% ??? [63] 22.8% loop [48] 29.7% [56] 854(3.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [63] 22.8% ??? [64] 16.8% simplify [70] 16.8% taylor-quotient [67] 12.9% f66 [78] 12.9% parse-loop12 [86] 12.9% ??? [6] 5.0% ----------------------------------------------------------------------- loop [50] 17.7% for-loop [37] 17.7% apply-match [33] 64.6% [57] 628(2.4%) 222(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [65] 64.6% loop [50] 17.7% ----------------------------------------------------------------------- map-enodes [21] 50.0% loop [50] 50.0% [58] 404(1.5%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [66] 100.0% ----------------------------------------------------------------------- loop [50] 100.0% [59] 202(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [68] 100.0% ----------------------------------------------------------------------- ??? [53] 100.0% [60] 202(0.8%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [69] 100.0% ----------------------------------------------------------------------- ??? [55] 100.0% [61] 9694(36.9%) 904(3.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [77] 74.4% bf* [71] 7.6% ...higher-order.rkt:373:33 [72] 4.6% ??? [73] 4.1% ----------------------------------------------------------------------- loop [50] 24.4% ??? [55] 75.6% [62] 8046(30.7%) 6888(26.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [89] 14.4% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [63] 432(1.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [56] 100.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [64] 414(1.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [56] 100.0% ----------------------------------------------------------------------- loop! [57] 100.0% [65] 406(1.5%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [75] 50.2% for-loop [76] 49.8% ----------------------------------------------------------------------- set-precompute! [58] 100.0% [66] 404(1.5%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [74] 100.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [67] 220(0.8%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [70] 100.0% ----------------------------------------------------------------------- for-loop [59] 100.0% [68] 202(0.8%) 202(0.8%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- for-loop [60] 100.0% [69] 202(0.8%) 202(0.8%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ----------------------------------------------------------------------- taylor-sqrt [49] 24.0% taylor-quotient [67] 26.4% hash-ref! [56] 49.6% [70] 834(3.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f66 [78] 73.6% debug-print [81] 26.4% ----------------------------------------------------------------------- ??? [61] 100.0% [71] 734(2.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [77] 100.0% ----------------------------------------------------------------------- loop [50] 33.0% ??? [61] 67.0% [72] 666(2.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [79] 67.0% ??? [84] 33.0% ----------------------------------------------------------------------- ulp-difference [51] 37.3% ??? [61] 62.7% [73] 638(2.4%) 638(2.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- make-sequence [66] 100.0% [74] 404(1.5%) 0(0.0%) ??? ...acket/collects/racket/private/for.rkt:428:7 custom-in-set [80] 100.0% ----------------------------------------------------------------------- custom-set-union [65] 100.0% [75] 204(0.8%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [82] 100.0% ----------------------------------------------------------------------- custom-set-union [65] 100.0% [76] 202(0.8%) 202(0.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------- bf* [71] 9.2% ??? [61] 90.8% [77] 7944(30.3%) 1798(6.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [83] 47.6% ??? [88] 17.0% bfsqrt [85] 12.8% ----------------------------------------------------------------------- append-map [26] 8.5% composed [87] 8.5% simplify-node [54] 12.0% hash-ref! [56] 26.4% simplify [70] 44.7% [78] 834(3.2%) 0(0.0%) f66 ...t/collects/racket/match/compiler.rkt:499:40 map [46] 62.6% append-map [26] 16.9% parse-loop12 [86] 12.0% composed [87] 8.5% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [72] 100.0% [79] 446(1.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [84] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [80] 404(1.5%) 404(1.5%) custom-in-set ...acket/private/set-types.rkt:578:0 ----------------------------------------------------------------------- simplify [70] 100.0% [81] 220(0.8%) 220(0.8%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- for-loop [75] 100.0% [82] 204(0.8%) 204(0.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- ??? [77] 100.0% [83] 3780(14.4%) 3044(11.6%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 19.5% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [72] 9.6% ??? [79] 19.4% loop [50] 20.9% ??? [55] 50.1% [84] 2298(8.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [88] 100.0% ----------------------------------------------------------------------- ??? [77] 100.0% [85] 1014(3.9%) 1014(3.9%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- f66 [78] 47.6% hash-ref! [56] 52.4% [86] 420(1.6%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [50] 52.4% for-loop [90] 47.6% ----------------------------------------------------------------------- f66 [78] 100.0% [87] 212(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f66 [78] 100.0% ----------------------------------------------------------------------- ??? [77] 37.0% ??? [84] 63.0% [88] 3650(13.9%) 1392(5.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 61.9% ----------------------------------------------------------------------- bfsub [83] 38.9% real->bigfloat [62] 61.1% [89] 1894(7.2%) 1894(7.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- parse-loop12 [86] 100.0% [90] 200(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [92] 100.0% ----------------------------------------------------------------------- ??? [88] 100.0% [91] 2258(8.6%) 1354(5.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 40.0% ----------------------------------------------------------------------- for-loop [90] 100.0% [92] 200(0.8%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [94]100.0% ----------------------------------------------------------------------- ??? [91] 100.0% [93] 904(3.4%) 904(3.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- make-multiplication-node [92] 100.0% [94] 200(0.8%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [95] 100.0% ----------------------------------------------------------------------- make-multiplication-subnode [94]100.0% [95] 200(0.8%) 200(0.8%) group-by68 ...acket/collects/racket/list.rkt:749:0 -----------------------------------------------------------------------