Profiling results ----------------- Total cpu time observed: 47304ms (out of 48288ms) Number of samples taken: 198 (once every 239ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 94 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [34] 100.0% [1] 46002(97.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [34] 100.0% [2] 7958(16.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 81.0% loop [41] 11.5% get-final-combination [11] 7.5% ---------------------------------------------------------------------- loop [60] 9.7% ??? [34] 90.3% [3] 4086(8.6%) 202(0.4%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [17] 60.3% simplify-expr [10] 19.6% loop [12] 5.4% mk-egraph [14] 4.9% for-loop [15] 4.9% ---------------------------------------------------------------------- location-do [50] 100.0% [4] 844(1.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [9] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [5] 642(1.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [73] 65.7% parse-loop12 [74] 34.3% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [6] 220(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.5% [7] 46232(97.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 6444(13.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ---------------------------------------------------------------------- approximate9 [4] 100.0% [9] 844(1.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 802(1.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 596(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 220(0.5%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [19] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [13] 220(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [68] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [14] 200(0.4%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [20] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [15] 200(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [16] 6444(13.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 57.2% finalize-iter! [23] 19.6% gen-series! [24] 13.1% localize-error [25] 6.6% choose-best-alt! [26] 3.4% ---------------------------------------------------------------------- for-loop [15] 5.8% simplify-expr [10] 23.2% simplify [3] 71.1% [17] 3464(7.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 100.0% ---------------------------------------------------------------------- get-final-combination [11] 100.0% [18] 596(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [60] 66.8% argmins [56] 33.2% ---------------------------------------------------------------------- loop [12] 100.0% [19] 220(0.5%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% ---------------------------------------------------------------------- mk-egraph [14] 33.3% expr->enode [20] 66.7% [20] 200(0.4%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [20] 66.7% mk-enode! [51] 33.3% ---------------------------------------------------------------------- run-iter! [16] 100.0% [21] 3688(7.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [22] 3464(7.3%) 200(0.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 87.9% loop [32] 6.4% ---------------------------------------------------------------------- run-iter! [16] 100.0% [23] 1266(2.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [24] 844(1.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [25] 426(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [68] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [26] 220(0.5%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [30] 100.0% ---------------------------------------------------------------------- pass [19] 100.0% [27] 220(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [33] 100.0% ---------------------------------------------------------------------- simplify! [21] 100.0% [28] 3688(7.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 100.0% ---------------------------------------------------------------------- for-loop [29] 46.4% one-iter [22] 53.6% [29] 3044(6.4%) 1222(2.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 46.4% match-e [35] 29.9% ---------------------------------------------------------------------- choose-best-alt! [26] 14.8% finalize-iter! [23] 85.2% [30] 1486(3.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 85.2% atab-pick-alt8 [39] 14.8% ---------------------------------------------------------------------- gen-series! [24] 100.0% [31] 844(1.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% ---------------------------------------------------------------------- one-iter [22] 100.0% [32] 220(0.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [33] 220(0.5%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [40] 100.0% ---------------------------------------------------------------------- for-loop [28] 2.7% run [7] 48.3% [34] 46862(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.8% loop [41] 41.9% run-improve58 [2] 7.5% simplify [3] 2.7% ---------------------------------------------------------------------- for-loop [47] 5.5% for-loop [29] 94.5% [35] 1822(3.9%) 1822(3.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 5.5% ---------------------------------------------------------------------- ??? [30] 100.0% [36] 1266(2.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% ---------------------------------------------------------------------- for-loop [31] 100.0% [37] 844(1.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ---------------------------------------------------------------------- loop [32] 100.0% [38] 220(0.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [44] 100.0% ---------------------------------------------------------------------- ??? [30] 100.0% [39] 220(0.5%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [45] 100.0% ---------------------------------------------------------------------- argmin [33] 100.0% [40] 220(0.5%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [46] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 2.3% ??? [34] 97.7% [41] 39822(84.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [48] 48.4% make-exacts* [54] 40.6% loop [55] 11.0% ---------------------------------------------------------------------- for-loop [36] 100.0% [42] 1266(2.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49] 84.0% override-at-pnts [53] 16.0% ---------------------------------------------------------------------- taylor-alt [37] 100.0% [43] 844(1.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% ---------------------------------------------------------------------- apply-match [38] 100.0% [44] 220(0.5%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [51] 100.0% ---------------------------------------------------------------------- atab-pick-alt8 [39] 100.0% [45] 220(0.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [52] 100.0% ---------------------------------------------------------------------- expression-cost [40] 100.0% [46] 220(0.5%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [68] 100.0% ---------------------------------------------------------------------- match-e [35] 100.0% [47] 200(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 100.0% ---------------------------------------------------------------------- loop [41] 100.0% [48] 19276(40.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [55] 57.6% make-exacts* [54] 41.5% eval-prog [64] 1.0% ---------------------------------------------------------------------- atab-add-altn [42] 100.0% [49] 1064(2.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 100.0% ---------------------------------------------------------------------- for-loop [43] 39.5% location-do [50] 60.5% [50] 844(1.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [50] 60.5% approximate9 [4] 39.5% ---------------------------------------------------------------------- expr->enode [20] 47.6% substitute-e [44] 52.4% [51] 420(0.9%) 200(0.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [57] 52.4% ---------------------------------------------------------------------- ??? [45] 100.0% [52] 220(0.5%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [56] 100.0% ---------------------------------------------------------------------- atab-add-altn [42] 100.0% [53] 202(0.4%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [61] 100.0% ---------------------------------------------------------------------- loop [48] 33.1% loop [41] 66.9% [54] 24138(51.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [60] 49.1% map [58] 48.6% eval-prog [64] 2.3% ---------------------------------------------------------------------- loop [41] 28.4% loop [48] 71.6% [55] 15492(32.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% ---------------------------------------------------------------------- extract-alt [18] 47.4% best-alt [52] 52.6% [56] 418(0.9%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [59] 100.0% ---------------------------------------------------------------------- mk-enode! [51] 100.0% [57] 220(0.5%) 220(0.5%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- f6 [73] 1.4% make-exacts* [54] 42.5% loop [55] 56.1% [58] 27630(58.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [60] 97.0% ??? [67] 1.6% f6 [73] 0.7% loop [62] 0.7% ---------------------------------------------------------------------- argmins [56] 100.0% [59] 418(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [61] 100.0% ---------------------------------------------------------------------- ??? [67] 0.0% extract-alt [18] 0.5% parse-loop12 [74] 0.6% ??? [77] 0.6% make-exacts* [54] 1.3% map [58] 2.0% loop [60] 95.0% [60] 39702(83.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [60] 95.0% ??? [67] 3.3% hash-ref! [68] 0.6% ??? [65] 0.5% simplify [3] 0.5% ??? [86] 0.0% real->bigfloat [72] 0.0% ->flonum [69] 0.0% ---------------------------------------------------------------------- override-at-pnts [53] 12.0% composed [59] 24.8% best-and-tied-at-points [49] 63.2% [61] 1684(3.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 86.9% eval-prog [64] 13.1% ---------------------------------------------------------------------- map [58] 6.7% loop [62] 93.3% [62] 198(0.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [62] 93.3% ??? [66] 6.7% ---------------------------------------------------------------------- errors [61] 100.0% [63] 1464(3.1%) 200(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [67] 86.3% ---------------------------------------------------------------------- loop [48] 19.9% errors [61] 22.8% make-exacts* [54] 57.3% [64] 966(2.0%) 220(0.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [68] 44.9% ??? [70] 32.3% ---------------------------------------------------------------------- loop [60] 100.0% [65] 426(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [68] 100.0% ---------------------------------------------------------------------- loop [62] 100.0% [66] 198(0.4%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [69] 100.0% ---------------------------------------------------------------------- map [58] 1.1% for-loop [63] 3.2% loop [60] 95.8% [67] 40100(84.8%) 2224(4.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 83.5% real->bigfloat [72] 7.7% loop [60] 2.1% ??? [87] 1.2% ---------------------------------------------------------------------- for-loop [13] 2.3% ??? [77] 5.7% compile [46] 5.7% loop [60] 6.3% localize-error [25] 8.1% ??? [75] 9.8% ??? [65] 14.0% loop [9] 15.1% eval-prog [64] 16.3% ??? [76] 16.7% [68] 1924(4.1%) 220(0.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [74] 17.0% ??? [76] 16.7% bigfloat-hash [78] 16.3% ??? [77] 12.0% f6 [73] 10.4% ??? [75] 9.8% simplify [5] 9.8% ??? [6] 2.3% ---------------------------------------------------------------------- ??? [66] 45.2% loop [60] 54.8% [69] 438(0.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 100.0% ---------------------------------------------------------------------- eval-prog [64] 100.0% [70] 312(0.7%) 312(0.7%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ---------------------------------------------------------------------- ??? [67] 100.0% [71] 33474(70.8%) 854(1.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [86] 69.1% bf* [84] 19.2% bffma [79] 3.4% ...higher-order.rkt:373:33 [80] 3.1% ...ow-val-first.rkt:357:18 [81] 1.3% ---------------------------------------------------------------------- loop [60] 21.8% ??? [67] 78.2% [72] 3938(8.3%) 3486(7.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [91] 11.5% ---------------------------------------------------------------------- f6 [73] 16.4% map [58] 16.4% hash-ref! [68] 32.3% simplify [5] 35.0% [73] 822(1.7%) 624(1.3%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [58] 40.5% f6 [73] 16.4% ---------------------------------------------------------------------- simplify [5] 34.1% hash-ref! [68] 65.9% [74] 646(1.4%) 220(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [60] 65.9% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [75] 642(1.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [76] 642(1.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [68] 100.0% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [77] 462(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [60] 52.4% hash-ref! [68] 47.6% ---------------------------------------------------------------------- hash-ref! [68] 100.0% [78] 434(0.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [82] 55.8% sig+exp->bigfloat [83] 44.2% ---------------------------------------------------------------------- ??? [71] 100.0% [79] 1138(2.4%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [84] 100.0% ---------------------------------------------------------------------- ??? [71] 100.0% [80] 1050(2.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [85] 100.0% ---------------------------------------------------------------------- ??? [71] 100.0% [81] 430(0.9%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [85] 100.0% ---------------------------------------------------------------------- bigfloat-hash [78] 100.0% [82] 242(0.5%) 242(0.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [78] 100.0% [83] 192(0.4%) 192(0.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- bffma [79] 15.0% ??? [71] 85.0% [84] 7562(16.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [86] 100.0% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [81] 29.1% ...higher-order.rkt:373:33 [80] 70.9% [85] 1480(3.1%) 430(0.9%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [87] 70.9% ---------------------------------------------------------------------- loop [60] 0.7% bf* [84] 24.5% ??? [71] 74.8% [86] 30926(65.4%) 14800(31.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [88] 33.7% bfsqrt [90] 12.1% ??? [89] 6.3% ---------------------------------------------------------------------- ??? [67] 30.6% ??? [85] 69.4% [87] 1514(3.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [86] 100.0% [88] 10426(22.0%) 7518(15.9%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [91] 27.9% ---------------------------------------------------------------------- ->flonum [69] 11.2% ??? [87] 38.7% ??? [86] 50.1% [89] 3912(8.3%) 2128(4.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 45.6% ---------------------------------------------------------------------- ??? [86] 100.0% [90] 3740(7.9%) 2618(5.5%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [91] 30.0% ---------------------------------------------------------------------- real->bigfloat [72] 10.1% bfsqrt [90] 25.0% bfmul [88] 64.9% [91] 4482(9.5%) 4482(9.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [89] 100.0% [92] 1784(3.8%) 1130(2.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 36.7% ---------------------------------------------------------------------- ??? [92] 100.0% [93] 654(1.4%) 654(1.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------