Profiling results ----------------- Total cpu time observed: 30976ms (out of 31492ms) Number of samples taken: 136 (once every 228ms) (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 ===================================================================== ??? [28] 100.0% [1] 29522(95.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% --------------------------------------------------------------------- ??? [28] 100.0% [2] 17072(55.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 97.7% loop [34] 1.2% get-final-combination [10] 1.1% --------------------------------------------------------------------- loop [72] 1.2% ??? [28] 98.8% [3] 15278(49.3%) 200(0.6%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [7] 49.9% simplify-expr [8] 40.7% iterate-egraph!5 [12] 6.7% loop [13] 1.3% --------------------------------------------------------------------- location-do [50] 100.0% [4] 198(0.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-sqrt [9] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 29522(95.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 16682(53.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [7] 7630(24.6%) 326(1.1%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 90.2% loop [13] 5.5% --------------------------------------------------------------------- simplify [3] 100.0% [8] 6224(20.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 100.0% --------------------------------------------------------------------- approximate9 [4] 100.0% [9] 198(0.6%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [14] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 190(0.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% --------------------------------------------------------------------- for-loop [6] 100.0% [11] 16682(53.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 90.4% finalize-iter! [18] 7.0% localize-error [20] 1.3% gen-series! [21] 1.2% --------------------------------------------------------------------- simplify [3] 7.2% simplify-expr [8] 44.1% for-loop [7] 48.7% [12] 14128(45.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 98.4% --------------------------------------------------------------------- simplify [3] 32.4% for-loop [7] 67.6% [13] 624(2.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [19] 100.0% --------------------------------------------------------------------- taylor-sqrt [9] 100.0% [14] 198(0.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [70] 100.0% --------------------------------------------------------------------- get-final-combination [10] 100.0% [15] 190(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [72] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [16] 15088(48.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [22] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [17] 13906(44.9%) 1028(3.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [23] 46.9% loop [24] 36.5% apply-match [29] 9.2% --------------------------------------------------------------------- run-iter! [11] 100.0% [18] 1176(3.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% --------------------------------------------------------------------- loop [13] 100.0% [19] 624(2.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [26] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [20] 220(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [67] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [21] 198(0.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% --------------------------------------------------------------------- simplify! [16] 100.0% [22] 15088(48.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% --------------------------------------------------------------------- for-loop [23] 50.0% one-iter [17] 50.0% [23] 6524(21.1%) 1068(3.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 50.0% match-e [35] 41.8% --------------------------------------------------------------------- one-iter [17] 100.0% [24] 5070(16.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [29] 100.0% --------------------------------------------------------------------- finalize-iter! [18] 100.0% [25] 1176(3.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 100.0% --------------------------------------------------------------------- pass [19] 100.0% [26] 624(2.0%) 202(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [31] 35.6% for-loop [32] 32.1% --------------------------------------------------------------------- gen-series! [21] 100.0% [27] 198(0.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% --------------------------------------------------------------------- for-loop [22] 16.9% run [5] 40.6% [28] 30516(98.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.6% loop [34] 22.4% run-improve58 [2] 20.2% simplify [3] 16.9% --------------------------------------------------------------------- one-iter [17] 20.2% loop [24] 79.8% [29] 6354(20.5%) 480(1.5%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [36] 26.7% update-leader! [43] 25.8% match-e [35] 22.7% loop! [76] 13.5% substitute-e [38] 3.8% --------------------------------------------------------------------- ??? [25] 100.0% [30] 1176(3.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% --------------------------------------------------------------------- for-loop [26] 100.0% [31] 222(0.7%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [39] 100.0% --------------------------------------------------------------------- for-loop [26] 100.0% [32] 200(0.6%) 200(0.6%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- for-loop [27] 100.0% [33] 198(0.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% --------------------------------------------------------------------- run-improve58 [2] 1.5% ??? [28] 98.5% [34] 13644(44.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [41] 48.2% make-exacts* [51] 33.5% loop [52] 18.3% --------------------------------------------------------------------- for-loop [54] 11.7% apply-match [29] 19.1% for-loop [23] 69.1% [35] 6896(22.3%) 3358(10.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 40.3% for-loop [54] 7.2% list-cartesian-product [56] 6.4% loop [72] 3.2% custom-in-set [49] 2.9% --------------------------------------------------------------------- for-loop [48] 5.9% apply-match [29] 94.1% [36] 1698(5.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [43] 36.2% for-loop [45] 25.9% loop! [76] 19.0% enode-merge! [46] 13.1% for-loop [48] 5.9% --------------------------------------------------------------------- for-loop [30] 100.0% [37] 1176(3.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% --------------------------------------------------------------------- substitute-e [38] 50.0% apply-match [29] 50.0% [38] 240(0.8%) 240(0.8%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [38] 50.0% --------------------------------------------------------------------- argmin [31] 100.0% [39] 222(0.7%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [47] 100.0% --------------------------------------------------------------------- taylor-alt [33] 100.0% [40] 198(0.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% --------------------------------------------------------------------- loop [34] 100.0% [41] 6580(21.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 55.4% make-exacts* [51] 44.6% --------------------------------------------------------------------- match-e [35] 100.0% [42] 2880(9.3%) 1270(4.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 28.9% loop [72] 19.6% list-cartesian-product [56] 11.6% --------------------------------------------------------------------- merge-egraph-nodes! [36] 27.2% apply-match [29] 72.8% [43] 2254(7.3%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [53] 91.1% custom-set-union! [59] 8.9% --------------------------------------------------------------------- atab-add-altn [37] 100.0% [44] 1176(3.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 81.3% for-loop [58] 18.7% --------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [45] 440(1.4%) 240(0.8%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 update-en-expr [83] 45.5% --------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [46] 222(0.7%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [57] 100.0% --------------------------------------------------------------------- expression-cost [39] 100.0% [47] 222(0.7%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [67] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [48] 200(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [36] 100.0% --------------------------------------------------------------------- match-e [35] 100.0% [49] 198(0.6%) 198(0.6%) custom-in-set ...acket/private/set-types.rkt:578:0 --------------------------------------------------------------------- for-loop [40] 33.3% location-do [50] 66.7% [50] 198(0.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [50] 66.7% approximate9 [4] 33.3% --------------------------------------------------------------------- loop [41] 39.1% loop [34] 60.9% [51] 7504(24.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [72] 52.1% map [60] 45.1% eval-prog [62] 2.9% --------------------------------------------------------------------- loop [34] 40.6% loop [41] 59.4% [52] 6140(19.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% --------------------------------------------------------------------- update-leader! [43] 100.0% [53] 2054(6.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [61] 100.0% --------------------------------------------------------------------- match-e [35] 48.8% for-loop [42] 51.2% [54] 2038(6.6%) 216(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 79.5% ??? [64] 9.9% --------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [55] 956(3.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 56.1% eval-prog [62] 43.9% --------------------------------------------------------------------- list-cartesian-product [56] 13.9% for-loop [42] 35.4% match-e [35] 50.7% [56] 868(2.8%) 868(2.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [56] 13.9% --------------------------------------------------------------------- enode-merge! [46] 100.0% [57] 222(0.7%) 222(0.7%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 --------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [58] 220(0.7%) 220(0.7%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- update-leader! [43] 100.0% [59] 200(0.6%) 0(0.0%) custom-set-union! ...t/private/set-types.rkt:246:0 for-loop [65] 100.0% --------------------------------------------------------------------- make-exacts* [51] 35.5% loop [52] 64.5% [60] 9524(30.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 97.8% ??? [75] 2.2% --------------------------------------------------------------------- for-loop [53] 100.0% [61] 2054(6.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [66] 100.0% --------------------------------------------------------------------- make-exacts* [51] 33.8% errors [55] 66.2% [62] 634(2.0%) 420(1.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [67] 33.8% --------------------------------------------------------------------- errors [55] 100.0% [63] 536(1.7%) 358(1.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [75] 33.2% --------------------------------------------------------------------- for-loop [54] 100.0% [64] 202(0.7%) 202(0.7%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 --------------------------------------------------------------------- custom-set-union! [59] 100.0% [65] 200(0.6%) 200(0.6%) for-loop ...cts/racket/private/set-types.rkt:254:4 --------------------------------------------------------------------- for-loop [61] 100.0% [66] 2054(6.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [68] 100.0% --------------------------------------------------------------------- eval-prog [62] 8.2% compile [47] 11.3% ??? [69] 22.6% loop [72] 24.5% localize-error [20] 33.5% [67] 656(2.1%) 222(0.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [69] 47.0% parse-loop50 [70] 33.5% bigfloat-hash [71] 8.2% --------------------------------------------------------------------- hash-update! [66] 100.0% [68] 2054(6.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [73] 100.0% --------------------------------------------------------------------- hash-ref! [67] 100.0% [69] 436(1.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [67] 50.9% loop [72] 49.1% --------------------------------------------------------------------- simplify [14] 47.4% hash-ref! [67] 52.6% [70] 418(1.3%) 198(0.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [72] 52.6% --------------------------------------------------------------------- hash-ref! [67] 100.0% [71] 214(0.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [74] 100.0% --------------------------------------------------------------------- parse-loop50 [70] 0.0% make-exacts* [51] 0.1% match-e [35] 0.2% extract-alt [15] 1.2% ??? [69] 1.4% for-loop [42] 1.5% loop! [76] 2.7% map [60] 3.9% loop [72] 89.0% [72] 15692(50.7%) 544(1.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 89.0% ??? [75] 3.8% loop! [76] 2.7% foldl [77] 1.6% hash-ref! [67] 1.4% simplify [3] 1.2% ...higher-order.rkt:373:33 [86] 0.0% for-loop [78] 0.0% --------------------------------------------------------------------- ??? [68] 100.0% [73] 2054(6.6%) 2054(6.6%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- bigfloat-hash [71] 100.0% [74] 214(0.7%) 214(0.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- for-loop [63] 1.3% map [60] 1.6% loop [72] 97.1% [75] 13408(43.3%) 696(2.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 82.5% real->bigfloat [80] 7.2% ??? [94] 5.1% --------------------------------------------------------------------- merge-egraph-nodes! [36] 24.3% loop [72] 32.9% apply-match [29] 42.7% [76] 1278(4.1%) 442(1.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [82] 34.1% loop [72] 32.9% set [85] 7.8% update-en-expr [83] 7.8% --------------------------------------------------------------------- loop [72] 100.0% [77] 440(1.4%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [81] 100.0% --------------------------------------------------------------------- loop [72] 100.0% [78] 222(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [84] 100.0% --------------------------------------------------------------------- ??? [75] 100.0% [79] 11060(35.7%) 178(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 77.4% ...higher-order.rkt:373:33 [86] 13.9% bf* [87] 7.1% --------------------------------------------------------------------- ??? [75] 100.0% [80] 972(3.1%) 714(2.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 26.5% --------------------------------------------------------------------- foldl [77] 100.0% [81] 440(1.4%) 440(1.4%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 --------------------------------------------------------------------- loop! [76] 100.0% [82] 436(1.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [88] 100.0% --------------------------------------------------------------------- for-loop [45] 50.0% loop! [76] 50.0% [83] 400(1.3%) 400(1.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- for-loop [78] 100.0% [84] 222(0.7%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [89] 100.0% --------------------------------------------------------------------- loop! [76] 100.0% [85] 200(0.6%) 200(0.6%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- loop [72] 12.5% ??? [79] 87.5% [86] 1758(5.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 62.7% ??? [94] 37.3% --------------------------------------------------------------------- ??? [79] 100.0% [87] 786(2.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% --------------------------------------------------------------------- custom-set-union [82] 100.0% [88] 436(1.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [92] 100.0% --------------------------------------------------------------------- setfindf [84] 100.0% [89] 222(0.7%) 222(0.7%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 --------------------------------------------------------------------- bf* [87] 8.4% ??? [79] 91.6% [90] 9344(30.2%) 850(2.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [93] 57.3% bfsqrt [95] 19.8% ??? [96] 13.8% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [86]100.0% [91] 1102(3.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% --------------------------------------------------------------------- for-loop [88] 100.0% [92] 436(1.4%) 436(1.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- ??? [90] 100.0% [93] 5352(17.3%) 4104(13.2%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 23.3% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [86] 26.9% ??? [75] 27.9% ??? [91] 45.2% [94] 2438(7.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% --------------------------------------------------------------------- ??? [90] 100.0% [95] 1848(6.0%) 662(2.1%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 64.2% --------------------------------------------------------------------- ??? [90] 34.7% ??? [94] 65.3% [96] 3732(12.0%) 1286(4.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 65.5% --------------------------------------------------------------------- real->bigfloat [80] 9.6% bfsqrt [95] 44.1% bfdiv [93] 46.4% [97] 2692(8.7%) 2692(8.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [96] 100.0% [98] 2446(7.9%) 1588(5.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 35.1% --------------------------------------------------------------------- ??? [98] 100.0% [99] 858(2.8%) 858(2.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------