Profiling results ----------------- Total cpu time observed: 16184ms (out of 16412ms) Number of samples taken: 63 (once every 257ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 101 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [16] 100.0% [1] 15962(98.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ------------------------------------------------------------------------ loop [83] 100.0% [2] 2112(13.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [3] 910(5.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [4] 690(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [5] 478(3.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [6] 244(1.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [14] 100.0% ------------------------------------------------------------------------ f6 [74] 100.0% [7] 222(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [70] 100.0% ------------------------------------------------------------------------ map [78] 100.0% [8] 212(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 pattern-match [15] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 98.6% [9] 16184(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [16] 100.0% ------------------------------------------------------------------------ simplify [24] 9.5% completely-simplify-alt [2] 90.5% [10] 2334(14.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ------------------------------------------------------------------------ ??? [3] 100.0% [11] 910(5.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [12] 690(4.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [13] 478(3.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [18] 100.0% ------------------------------------------------------------------------ ??? [6] 100.0% [14] 244(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [68] 100.0% ------------------------------------------------------------------------ for-loop [20] 50.0% ??? [8] 50.0% [15] 212(1.3%) 0(0.0%) pattern-match .../herbie/src/core/matcher.rkt:47:0 for-loop [20] 50.0% constant? [19] 50.0% ------------------------------------------------------------------------ for-loop [49] 1.3% run [9] 50.0% [16] 16184(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.7% run-improve58 [21] 26.2% loop [22] 23.8% simplify [24] 1.3% ------------------------------------------------------------------------ simplify [24] 14.6% simplify-expr [10] 85.4% [17] 2734(16.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [23] 91.9% map-enodes [25] 8.1% ------------------------------------------------------------------------ for-loop [13] 100.0% [18] 478(3.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [68] 100.0% ------------------------------------------------------------------------ pattern-match [15] 100.0% [19] 212(1.3%) 212(1.3%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------ pattern-match [15] 100.0% [20] 212(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/matcher.rkt:65:9 pattern-match [15] 100.0% ------------------------------------------------------------------------ ??? [16] 100.0% [21] 8690(53.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [26] 82.9% for-loop [29] 14.6% get-final-combination [31] 2.6% ------------------------------------------------------------------------ ??? [16] 100.0% [22] 7494(46.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [33] 50.8% loop [27] 49.2% ------------------------------------------------------------------------ iterate-egraph!5 [17] 100.0% [23] 2512(15.5%) 222(1.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 91.2% ------------------------------------------------------------------------ ??? [16] 100.0% [24] 622(3.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [17] 64.3% simplify-expr [10] 35.7% ------------------------------------------------------------------------ iterate-egraph!5 [17] 100.0% [25] 222(1.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 for-loop [30] 100.0% ------------------------------------------------------------------------ run-improve58 [21] 100.0% [26] 7202(44.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [32] 100.0% ------------------------------------------------------------------------ loop [22] 100.0% [27] 3684(22.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [34] 58.4% make-exacts* [33] 36.8% eval-prog [73] 4.8% ------------------------------------------------------------------------ for-loop [28] 50.0% one-iter [23] 50.0% [28] 2290(14.1%) 842(5.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [35] 31.6% ------------------------------------------------------------------------ run-improve58 [21] 100.0% [29] 1266(7.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [36] 100.0% ------------------------------------------------------------------------ map-enodes [25] 100.0% [30] 222(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [37] 100.0% ------------------------------------------------------------------------ run-improve58 [21] 100.0% [31] 222(1.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [38] 100.0% ------------------------------------------------------------------------ finalize-table! [26] 100.0% [32] 7202(44.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [39] 62.0% loop [83] 32.1% ??? [48] 5.9% ------------------------------------------------------------------------ loop [27] 26.2% loop [22] 73.8% [33] 5164(31.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [78] 54.1% loop [83] 45.9% ------------------------------------------------------------------------ loop [27] 100.0% [34] 2152(13.3%) 222(1.4%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 89.7% ------------------------------------------------------------------------ for-loop [50] 13.9% for-loop [28] 86.1% [35] 1448(8.9%) 1028(6.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 20.6% curry* [43] 15.3% for-loop [50] 6.9% ------------------------------------------------------------------------ for-loop [29] 100.0% [36] 1266(7.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [40] 49.1% gen-series! [42] 19.3% finalize-iter! [45] 16.0% choose-best-alt! [46] 15.6% ------------------------------------------------------------------------ for-loop [30] 100.0% [37] 222(1.4%) 222(1.4%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------ get-final-combination [31] 100.0% [38] 222(1.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [44] 100.0% ------------------------------------------------------------------------ post-process [32] 100.0% [39] 4468(27.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [47] 94.6% ??? [52] 5.4% ------------------------------------------------------------------------ run-iter! [36] 100.0% [40] 622(3.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [49] 100.0% ------------------------------------------------------------------------ match-e [35] 100.0% [41] 400(2.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [50] 50.5% list-cartesian-product [54] 49.5% ------------------------------------------------------------------------ run-iter! [36] 100.0% [42] 244(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [51] 100.0% ------------------------------------------------------------------------ match-e [35] 100.0% [43] 222(1.4%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [53] 100.0% ------------------------------------------------------------------------ extract-alt [38] 100.0% [44] 222(1.4%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [67] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [45] 202(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [48] 100.0% ------------------------------------------------------------------------ run-iter! [36] 100.0% [46] 198(1.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [48] 100.0% ------------------------------------------------------------------------ for-loop [39] 100.0% [47] 4228(26.1%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [55] 88.7% loop [83] 11.3% ------------------------------------------------------------------------ choose-best-alt! [46] 24.1% finalize-iter! [45] 24.6% post-process [32] 51.3% [48] 822(5.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [56] 75.9% atab-pick-alt8 [57] 24.1% ------------------------------------------------------------------------ simplify! [40] 100.0% [49] 622(3.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [16] 100.0% ------------------------------------------------------------------------ match-e [35] 49.8% for-loop [41] 50.2% [50] 402(2.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 100.0% ------------------------------------------------------------------------ gen-series! [42] 100.0% [51] 244(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [55] 100.0% ------------------------------------------------------------------------ for-loop [39] 100.0% [52] 240(1.5%) 240(1.5%) ??? /home/ztatlock/herbie/src/glue.rkt:109:24 ------------------------------------------------------------------------ curry* [43] 100.0% [53] 222(1.4%) 222(1.4%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------ for-loop [41] 100.0% [54] 198(1.2%) 198(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------ for-loop [51] 5.5% loop [83] 10.7% append-map [47] 83.9% [55] 4472(27.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [58] 100.0% ------------------------------------------------------------------------ ??? [48] 100.0% [56] 624(3.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [59] 100.0% ------------------------------------------------------------------------ ??? [48] 100.0% [57] 198(1.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [60] 100.0% ------------------------------------------------------------------------ taylor-alt [55] 100.0% [58] 4472(27.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [61] 100.0% ------------------------------------------------------------------------ for-loop [56] 100.0% [59] 624(3.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [62] 100.0% ------------------------------------------------------------------------ atab-pick-alt8 [57] 100.0% [60] 198(1.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [63] 100.0% ------------------------------------------------------------------------ location-do [61] 40.8% for-loop [58] 59.2% [61] 4472(27.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [64] 59.2% location-do [61] 40.8% ------------------------------------------------------------------------ atab-add-altn [59] 100.0% [62] 624(3.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [69] 100.0% ------------------------------------------------------------------------ ??? [60] 100.0% [63] 198(1.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [65] 100.0% ------------------------------------------------------------------------ location-do [61] 100.0% [64] 4472(27.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [66] 95.0% f6 [74] 5.0% ------------------------------------------------------------------------ best-alt [63] 100.0% [65] 198(1.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [67] 100.0% ------------------------------------------------------------------------ approximate9 [64] 100.0% [66] 4250(26.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ------------------------------------------------------------------------ loop [65] 47.1% argmins [44] 52.9% [67] 420(2.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [69] 100.0% ------------------------------------------------------------------------ for-loop [14] 1.4% for-loop [18] 2.7% ??? [88] 3.0% for-loop [12] 4.3% for-loop [11] 7.3% ??? [71] 40.0% loop [66] 40.0% [68] 4450(27.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [71] 40.0% simplify [70] 40.0% ??? [3] 7.3% ??? [4] 4.3% f6 [74] 3.0% ??? [5] 2.7% parse-loop12 [81] 1.5% ??? [6] 1.4% ------------------------------------------------------------------------ composed [67] 40.2% best-and-tied-at-points [62] 59.8% [69] 1044(6.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [72] 78.7% eval-prog [73] 21.3% ------------------------------------------------------------------------ taylor-invert [7] 5.0% hash-ref! [68] 95.0% [70] 4472(27.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [74] 65.0% parse-loop12 [81] 29.6% simplify-node [75] 5.5% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [71] 4250(26.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ------------------------------------------------------------------------ errors [69] 100.0% [72] 822(5.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [86] 51.6% ulp-difference [76] 24.3% ??? [77] 24.1% ------------------------------------------------------------------------ loop [27] 44.5% errors [69] 55.5% [73] 400(2.5%) 400(2.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ approximate9 [64] 1.3% f6 [74] 2.6% hash-ref! [68] 4.8% loop [83] 4.8% map [78] 23.0% simplify [70] 28.6% parse-loop12 [81] 34.9% [74] 4206(26.0%) 222(1.4%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [78] 92.5% f6 [74] 2.6% parse-app [84] 1.4% taylor-invert [7] 1.3% gather-multiplicative-terms [79] 0.8% ------------------------------------------------------------------------ simplify [70] 100.0% [75] 244(1.5%) 244(1.5%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 ------------------------------------------------------------------------ for-loop [72] 100.0% [76] 200(1.2%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [80] 100.0% ------------------------------------------------------------------------ for-loop [72] 100.0% [77] 198(1.2%) 198(1.2%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------------ parse-loop12 [81] 4.2% loop [34] 22.2% make-exacts* [33] 32.1% f6 [74] 41.6% [78] 8710(53.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [83] 56.0% parse-loop12 [81] 31.1% f6 [74] 10.6% ??? [88] 1.1% ??? [8] 0.6% make-multiplication-node [82] 0.6% ------------------------------------------------------------------------ f6 [74] 100.0% [79] 200(1.2%) 200(1.2%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ------------------------------------------------------------------------ ulp-difference [76] 100.0% [80] 200(1.2%) 200(1.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ hash-ref! [68] 4.8% simplify [70] 10.5% parse-loop12 [81] 17.1% map [78] 67.6% [81] 4206(26.0%) 2666(16.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 map [78] 18.7% f6 [74] 18.4% parse-loop12 [81] 17.1% loop [83] 12.2% parse-app [84] 4.3% ------------------------------------------------------------------------ map [78] 100.0% [82] 206(1.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [85]100.0% ------------------------------------------------------------------------ make-exacts* [33] 0.1% parse-loop12 [81] 3.1% append-map [47] 3.5% post-process [32] 4.1% map [78] 4.4% loop [83] 84.8% [83] 10302(63.7%) 220(1.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [83] 84.8% f6 [74] 4.2% completely-simplify-alt [2] 4.1% taylor-alt [55] 3.5% ??? [86] 3.3% ??? [88] 0.0% ??? [95] 0.0% ------------------------------------------------------------------------ f6 [74] 33.2% parse-loop12 [81] 66.8% [84] 722(4.5%) 722(4.5%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ make-multiplication-node [82] 100.0% [85] 206(1.3%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [87] 100.0% ------------------------------------------------------------------------ for-loop [72] 5.8% loop [83] 94.2% [86] 7298(45.1%) 236(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [89] 44.9% real->bigfloat [90] 30.9% ??? [91] 18.0% ->flonum [92] 3.0% ------------------------------------------------------------------------ make-multiplication-subnode [85]100.0% [87] 206(1.3%) 206(1.3%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ------------------------------------------------------------------------ loop [83] 50.0% map [78] 50.0% [88] 200(1.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [68] 100.0% ------------------------------------------------------------------------ ??? [86] 100.0% [89] 3274(20.2%) 202(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [95] 71.0% bf* [94] 22.8% ------------------------------------------------------------------------ ??? [86] 100.0% [90] 2256(13.9%) 1306(8.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 42.1% ------------------------------------------------------------------------ ??? [86] 100.0% [91] 1310(8.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ------------------------------------------------------------------------ ??? [86] 100.0% [92] 222(1.4%) 222(1.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ------------------------------------------------------------------------ real->bigfloat [90] 100.0% [93] 950(5.9%) 950(5.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [89] 100.0% [94] 746(4.6%) 298(1.8%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [95] 60.1% ------------------------------------------------------------------------ loop [83] 6.7% bf* [94] 15.1% ??? [89] 78.2% [95] 2974(18.4%) 1698(10.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [96] 22.9% bfsqrt [97] 12.9% bfmul [98] 7.1% ------------------------------------------------------------------------ ??? [95] 34.2% ??? [91] 65.8% [96] 1990(12.3%) 1060(6.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 46.7% ------------------------------------------------------------------------ ??? [95] 100.0% [97] 384(2.4%) 384(2.4%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ------------------------------------------------------------------------ ??? [95] 100.0% [98] 212(1.3%) 212(1.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ------------------------------------------------------------------------ ??? [96] 100.0% [99] 930(5.7%) 222(1.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 76.1% ------------------------------------------------------------------------ ??? [99] 100.0% [100] 708(4.4%) 708(4.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------