Profiling results ----------------- Total cpu time observed: 26886ms (out of 27300ms) Number of samples taken: 114 (once every 236ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 102 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [20] 100.0% [1] 25862(96.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% --------------------------------------------------------------------- ??? [20] 100.0% [2] 15064(56.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [4] 91.9% get-final-combination [5] 4.8% loop [25] 1.8% setup-prog [6] 1.5% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [3] 25862(96.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [20] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [4] 13840(51.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [7] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 728(2.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [8] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 232(0.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [9] 100.0% --------------------------------------------------------------------- for-loop [4] 100.0% [7] 13840(51.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [11] 95.5% finalize-iter! [12] 3.0% gen-series! [13] 1.5% --------------------------------------------------------------------- get-final-combination [5] 100.0% [8] 728(2.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [49] 72.5% argmins [14] 27.5% --------------------------------------------------------------------- setup-prog [6] 100.0% [9] 232(0.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [10] 100.0% --------------------------------------------------------------------- simplify-alt [9] 1.7% loop [49] 3.8% ??? [20] 94.6% [10] 13978(52.0%) 264(1.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [16] 73.2% iterate-egraph!5 [21] 16.2% for-loop [17] 8.8% --------------------------------------------------------------------- run-iter! [7] 100.0% [11] 13218(49.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [15] 100.0% --------------------------------------------------------------------- run-iter! [7] 100.0% [12] 420(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [84] 100.0% --------------------------------------------------------------------- run-iter! [7] 100.0% [13] 202(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [18] 100.0% --------------------------------------------------------------------- extract-alt [8] 100.0% [14] 200(0.7%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [19] 100.0% --------------------------------------------------------------------- simplify! [11] 100.0% [15] 13218(49.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [20] 100.0% --------------------------------------------------------------------- simplify [10] 100.0% [16] 10226(38.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [21] 92.2% loop [22] 7.8% --------------------------------------------------------------------- simplify [10] 100.0% [17] 1226(4.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [21] 100.0% --------------------------------------------------------------------- gen-series! [13] 100.0% [18] 202(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [23] 100.0% --------------------------------------------------------------------- argmins [14] 100.0% [19] 200(0.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [96] 100.0% --------------------------------------------------------------------- for-loop [15] 17.0% run [3] 40.7% [20] 26666(99.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.7% loop [25] 21.8% run-improve58 [2] 20.5% simplify [10] 17.0% --------------------------------------------------------------------- for-loop [17] 9.5% simplify [10] 17.5% simplify-expr [16] 73.0% [21] 12916(48.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 98.4% --------------------------------------------------------------------- simplify-expr [16] 100.0% [22] 798(3.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [26] 100.0% --------------------------------------------------------------------- for-loop [18] 100.0% [23] 202(0.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [27] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [24] 12714(47.3%) 402(1.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 52.9% loop [29] 42.3% --------------------------------------------------------------------- run-improve58 [2] 2.2% ??? [20] 97.8% [25] 11866(44.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [30] 43.0% make-exacts* [34] 41.2% loop [36] 11.5% for-loop [32] 4.3% --------------------------------------------------------------------- loop [22] 100.0% [26] 798(3.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [31] 100.0% --------------------------------------------------------------------- taylor-alt [23] 100.0% [27] 202(0.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [33] 100.0% --------------------------------------------------------------------- for-loop [28] 47.0% one-iter [24] 53.0% [28] 6728(25.0%) 808(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 47.0% match-e [42] 42.5% ??? [68] 1.5% --------------------------------------------------------------------- one-iter [24] 100.0% [29] 5382(20.0%) 232(0.9%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 95.7% --------------------------------------------------------------------- loop [25] 100.0% [30] 5108(19.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [36] 53.2% make-exacts* [34] 46.8% --------------------------------------------------------------------- pass [26] 100.0% [31] 798(3.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [37] 75.2% for-loop [40] 24.8% --------------------------------------------------------------------- loop [25] 100.0% [32] 510(1.9%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [38] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [33] 202(0.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [39] 100.0% --------------------------------------------------------------------- loop [30] 32.9% loop [25] 67.1% [34] 7278(27.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [49] 55.1% map [41] 44.9% --------------------------------------------------------------------- loop [29] 100.0% [35] 5150(19.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [43] 43.4% match-e [42] 24.2% loop! [59] 16.9% substitute-e [46] 7.8% reduce-to-single! [47] 3.9% update-leader! [51] 3.9% --------------------------------------------------------------------- loop [25] 33.4% loop [30] 66.6% [36] 4078(15.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [41] 100.0% --------------------------------------------------------------------- for-loop [31] 100.0% [37] 600(2.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [44] 100.0% --------------------------------------------------------------------- for-loop [32] 100.0% [38] 510(1.9%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [45] 100.0% --------------------------------------------------------------------- location-do [33] 100.0% [39] 202(0.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [48] 100.0% --------------------------------------------------------------------- for-loop [31] 100.0% [40] 198(0.7%) 198(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- make-exacts* [34] 44.5% loop [36] 55.5% [41] 7348(27.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [49] 100.0% --------------------------------------------------------------------- apply-match [35] 12.0% for-loop [58] 18.0% for-loop [28] 70.1% [42] 6964(25.9%) 3508(13.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [50] 47.2% custom-in-set [54] 2.9% loop [49] 2.9% list-cartesian-product [61] 2.9% for-loop [58] 1.4% --------------------------------------------------------------------- merge-egraph-nodes! [43] 5.0% apply-match [35] 95.0% [43] 2234(8.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [51] 45.1% loop! [59] 31.9% make-sequence [55] 9.0% for-loop [56] 9.0% merge-egraph-nodes! [43] 5.0% --------------------------------------------------------------------- argmin [37] 100.0% [44] 600(2.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [52] 100.0% --------------------------------------------------------------------- for-loop [38] 100.0% [45] 510(1.9%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [53] 100.0% --------------------------------------------------------------------- substitute-e [46] 24.9% apply-match [35] 75.1% [46] 402(1.5%) 402(1.5%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [46] 24.9% --------------------------------------------------------------------- apply-match [35] 100.0% [47] 202(0.8%) 202(0.8%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 --------------------------------------------------------------------- approximate9 [39] 100.0% [48] 202(0.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% --------------------------------------------------------------------- ??? [57] 0.3% map [41] 0.7% match-e [42] 1.5% extract-alt [8] 2.3% loop! [59] 3.0% make-exacts* [34] 9.1% loop [49] 83.1% [49] 13314(49.5%) 666(2.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [49] 83.1% ??? [57] 7.9% loop! [59] 3.0% simplify [10] 2.3% foldl [63] 1.5% ??? [86] 0.0% real->bigfloat [64] 0.0% --------------------------------------------------------------------- match-e [42] 100.0% [50] 3930(14.6%) 2046(7.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [58] 50.7% list-cartesian-product [61] 7.7% --------------------------------------------------------------------- apply-match [35] 16.6% merge-egraph-nodes! [43] 83.4% [51] 1208(4.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 100.0% --------------------------------------------------------------------- expression-cost [44] 100.0% [52] 600(2.2%) 200(0.7%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [62] 66.7% --------------------------------------------------------------------- sample-double [45] 100.0% [53] 510(1.9%) 510(1.9%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 --------------------------------------------------------------------- match-e [42] 100.0% [54] 202(0.8%) 202(0.8%) custom-in-set ...acket/private/set-types.rkt:578:0 --------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [55] 202(0.8%) 202(0.8%) make-sequence ...ects/racket/private/for.rkt:508:2 --------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [56] 200(0.7%) 200(0.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- loop [49] 100.0% [57] 11116(41.3%) 454(1.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [64] 41.8% ??? [65] 30.8% loop [49] 16.0% ??? [86] 7.3% --------------------------------------------------------------------- match-e [42] 7.4% for-loop [50] 92.6% [58] 2704(10.1%) 200(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [42] 88.8% ??? [68] 7.5% --------------------------------------------------------------------- apply-match [35] 25.7% merge-egraph-nodes! [43] 36.2% loop [49] 38.1% [59] 1692(6.3%) 200(0.7%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [49] 38.1% custom-set-union [69] 23.8% update-en-expr [92] 20.3% set [67] 11.9% --------------------------------------------------------------------- update-leader! [51] 100.0% [60] 1208(4.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [66] 100.0% --------------------------------------------------------------------- match-e [42] 16.7% list-cartesian-product [61] 33.3% for-loop [50] 50.0% [61] 604(2.2%) 402(1.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [61] 33.3% for-loop [72] 16.7% --------------------------------------------------------------------- loop [48] 8.4% ??? [74] 25.2% ??? [70] 26.6% compile [52] 39.9% [62] 602(2.2%) 200(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [70] 59.8% ??? [74] 25.2% taylor [73] 8.4% --------------------------------------------------------------------- loop [49] 100.0% [63] 202(0.8%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [71] 100.0% --------------------------------------------------------------------- loop [49] 19.0% ??? [57] 81.0% [64] 5738(21.3%) 4558(17.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [91] 20.6% --------------------------------------------------------------------- ??? [57] 100.0% [65] 3420(12.7%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [81] 45.7% ...higher-order.rkt:373:33 [76] 29.5% bf* [77] 24.8% --------------------------------------------------------------------- for-loop [60] 100.0% [66] 1208(4.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [75] 100.0% --------------------------------------------------------------------- loop! [59] 100.0% [67] 402(1.5%) 402(1.5%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- for-loop [28] 49.8% for-loop [58] 50.2% [68] 402(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [78] 100.0% --------------------------------------------------------------------- loop! [59] 100.0% [69] 402(1.5%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [79] 100.0% --------------------------------------------------------------------- hash-ref! [62] 100.0% [70] 400(1.5%) 200(0.7%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [62] 50.0% --------------------------------------------------------------------- foldl [63] 100.0% [71] 202(0.8%) 202(0.8%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 --------------------------------------------------------------------- list-cartesian-product [61] 100.0% [72] 202(0.8%) 202(0.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 --------------------------------------------------------------------- hash-ref! [62] 100.0% [73] 202(0.8%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [80] 100.0% --------------------------------------------------------------------- hash-ref! [62] 100.0% [74] 202(0.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [62] 100.0% --------------------------------------------------------------------- for-loop [66] 100.0% [75] 1208(4.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [82] 100.0% --------------------------------------------------------------------- ??? [65] 100.0% [76] 1010(3.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [83] 100.0% --------------------------------------------------------------------- ??? [65] 100.0% [77] 848(3.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [81] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [78] 402(1.5%) 402(1.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 --------------------------------------------------------------------- custom-set-union [69] 100.0% [79] 402(1.5%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [85] 100.0% --------------------------------------------------------------------- taylor [73] 100.0% [80] 202(0.8%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [84] 100.0% --------------------------------------------------------------------- bf* [77] 35.2% ??? [65] 64.8% [81] 2410(9.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [87] 76.8% ??? [90] 23.2% --------------------------------------------------------------------- hash-update! [75] 100.0% [82] 1208(4.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [88] 100.0% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [76]100.0% [83] 1010(3.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [86] 100.0% --------------------------------------------------------------------- debug7 [80] 32.5% finalize-iter! [12] 67.5% [84] 622(2.3%) 202(0.8%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [89] 67.5% --------------------------------------------------------------------- for-loop [79] 100.0% [85] 402(1.5%) 402(1.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- loop [49] 12.6% ??? [57] 39.0% ??? [83] 48.4% [86] 2088(7.8%) 262(1.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [90] 87.5% --------------------------------------------------------------------- ??? [81] 100.0% [87] 1852(6.9%) 1562(5.8%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [91] 15.7% --------------------------------------------------------------------- ??? [82] 100.0% [88] 1208(4.5%) 1006(3.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [92] 16.7% --------------------------------------------------------------------- ??? [84] 100.0% [89] 420(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [93] 100.0% --------------------------------------------------------------------- ??? [81] 23.4% ??? [86] 76.6% [90] 2384(8.9%) 1584(5.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [94] 33.6% --------------------------------------------------------------------- bfadd [87] 19.7% real->bigfloat [64] 80.3% [91] 1470(5.5%) 1470(5.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- for-loop [88] 22.7% loop! [59] 77.3% [92] 890(3.3%) 890(3.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- for-loop [89] 100.0% [93] 420(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [95] 100.0% --------------------------------------------------------------------- ??? [90] 100.0% [94] 800(3.0%) 534(2.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 33.2% --------------------------------------------------------------------- atab-add-altn [93] 100.0% [95] 420(1.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [98] 52.4% errors [96] 47.6% --------------------------------------------------------------------- best-and-tied-at-points [95] 50.0% composed [19] 50.0% [96] 400(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [99] 100.0% --------------------------------------------------------------------- ??? [94] 100.0% [97] 266(1.0%) 266(1.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------- best-and-tied-at-points [95] 100.0% [98] 220(0.8%) 220(0.8%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- errors [96] 100.0% [99] 400(1.5%) 400(1.5%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------