Profiling results ----------------- Total cpu time observed: 23272ms (out of 23592ms) Number of samples taken: 100 (once every 233ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 103 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [29] 100.0% [1] 22648(97.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [2] 15392(66.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 94.5% get-final-combination [10] 5.5% ----------------------------------------------------------------------- loop [73] 6.8% ??? [29] 93.2% [3] 12584(54.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 56.9% iterate-egraph!5 [13] 23.3% for-loop [9] 19.8% ----------------------------------------------------------------------- f37 [75] 100.0% [4] 794(3.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [11] 100.0% ----------------------------------------------------------------------- loop [73] 100.0% [5] 196(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [68] 66.7% map [58] 33.3% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 22648(97.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 14538(62.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [8] 7166(30.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 97.2% loop [15] 2.8% ----------------------------------------------------------------------- simplify [3] 100.0% [9] 2490(10.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 91.2% loop [15] 8.8% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 854(3.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [14] 100.0% ----------------------------------------------------------------------- taylor-invert [4] 100.0% [11] 794(3.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [70] 100.0% ----------------------------------------------------------------------- for-loop [7] 100.0% [12] 14538(62.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 82.1% finalize-iter! [18] 9.6% gen-series! [19] 7.0% localize-error [22] 1.3% ----------------------------------------------------------------------- for-loop [9] 18.7% simplify [3] 24.1% simplify-expr [8] 57.3% [13] 12166(52.3%) 326(1.4%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 92.1% map-enodes [20] 5.3% ----------------------------------------------------------------------- get-final-combination [10] 100.0% [14] 854(3.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [73] 100.0% ----------------------------------------------------------------------- simplify-expr [8] 47.8% for-loop [9] 52.2% [15] 418(1.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ----------------------------------------------------------------------- run-iter! [12] 100.0% [16] 11932(51.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [17] 11200(48.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 62.8% loop [25] 33.4% apply-match [30] 3.8% ----------------------------------------------------------------------- run-iter! [12] 100.0% [18] 1398(6.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ----------------------------------------------------------------------- run-iter! [12] 100.0% [19] 1012(4.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [20] 640(2.8%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [73] 100.0% ----------------------------------------------------------------------- loop [15] 100.0% [21] 418(1.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [12] 100.0% [22] 196(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [68] 100.0% ----------------------------------------------------------------------- simplify! [16] 100.0% [23] 11932(51.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 98.3% ----------------------------------------------------------------------- for-loop [24] 48.4% one-iter [17] 51.6% [24] 7036(30.2%) 1446(6.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 48.4% match-e [36] 38.3% ??? [61] 1.4% ----------------------------------------------------------------------- one-iter [17] 100.0% [25] 3744(16.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [30] 100.0% ----------------------------------------------------------------------- finalize-iter! [18] 100.0% [26] 1398(6.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 85.6% atab-add-altns [34] 14.4% ----------------------------------------------------------------------- gen-series! [19] 100.0% [27] 1012(4.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ----------------------------------------------------------------------- pass [21] 100.0% [28] 418(1.8%) 200(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [33] 52.2% ----------------------------------------------------------------------- for-loop [23] 17.2% run [6] 40.7% [29] 23272(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.7% run-improve58 [2] 25.1% simplify [3] 17.2% loop [35] 16.9% ----------------------------------------------------------------------- one-iter [17] 10.1% loop [25] 89.9% [30] 4164(17.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [36] 36.1% merge-egraph-nodes! [38] 25.1% loop! [78] 19.6% substitute-e [40] 9.6% reduce-to-single! [41] 4.8% mk-enode! [47] 4.8% ----------------------------------------------------------------------- ??? [26] 100.0% [31] 1196(5.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ----------------------------------------------------------------------- for-loop [27] 100.0% [32] 1012(4.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ----------------------------------------------------------------------- for-loop [28] 100.0% [33] 218(0.9%) 218(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- ??? [26] 100.0% [34] 202(0.9%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [37] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [35] 7880(33.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [49] 58.5% loop [43] 41.5% ----------------------------------------------------------------------- apply-match [30] 17.0% for-loop [50] 19.4% for-loop [24] 63.6% [36] 6892(29.6%) 3256(14.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 55.2% for-loop [50] 6.4% list-cartesian-product [53] 2.9% ----------------------------------------------------------------------- atab-add-altns [34] 14.4% for-loop [31] 85.6% [37] 1398(6.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ----------------------------------------------------------------------- apply-match [30] 100.0% [38] 1044(4.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [45] 100.0% ----------------------------------------------------------------------- taylor-alt [32] 100.0% [39] 1012(4.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% ----------------------------------------------------------------------- apply-match [30] 100.0% [40] 400(1.7%) 200(0.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [47] 50.0% ----------------------------------------------------------------------- apply-match [30] 100.0% [41] 200(0.9%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 filter-loop! [48] 100.0% ----------------------------------------------------------------------- match-e [36] 100.0% [42] 4396(18.9%) 860(3.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [50] 53.8% list-cartesian-product [53] 19.8% loop [73] 9.6% loop [81] 2.3% ----------------------------------------------------------------------- loop [35] 100.0% [43] 3272(14.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 60.0% make-exacts* [49] 40.0% ----------------------------------------------------------------------- atab-add-altn [37] 100.0% [44] 1398(6.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [52] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [45] 1044(4.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [54] 100.0% ----------------------------------------------------------------------- location-do [46] 50.0% for-loop [39] 50.0% [46] 1012(4.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [46] 50.0% approximate9 [55] 50.0% ----------------------------------------------------------------------- apply-match [30] 50.0% substitute-e [40] 50.0% [47] 400(1.7%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [56] 50.0% new-enode [57] 50.0% ----------------------------------------------------------------------- reduce-to-single! [41] 100.0% [48] 200(0.9%) 0(0.0%) filter-loop! ...ck/herbie/src/core/enode.rkt:114:2 set [84] 100.0% ----------------------------------------------------------------------- loop [43] 22.1% loop [35] 77.9% [49] 5918(25.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [73] 55.3% map [58] 44.7% ----------------------------------------------------------------------- match-e [36] 18.3% for-loop [42] 81.7% [50] 3546(15.2%) 652(2.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 75.4% ??? [61] 6.2% ----------------------------------------------------------------------- loop [43] 100.0% [51] 1962(8.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [52] 1398(6.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [59] 85.7% eval-prog [63] 14.3% ----------------------------------------------------------------------- match-e [36] 7.8% for-loop [42] 42.2% list-cartesian-product [53] 50.0% [53] 1284(5.5%) 1086(4.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [53] 50.0% for-loop [64] 7.7% ----------------------------------------------------------------------- update-leader! [45] 100.0% [54] 1044(4.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [60] 100.0% ----------------------------------------------------------------------- location-do [46] 100.0% [55] 1012(4.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [75] 78.5% loop [62] 21.5% ----------------------------------------------------------------------- mk-enode! [47] 100.0% [56] 200(0.9%) 200(0.9%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- mk-enode! [47] 100.0% [57] 200(0.9%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [84] 100.0% ----------------------------------------------------------------------- ??? [5] 3.5% f37 [75] 14.2% loop [51] 35.0% make-exacts* [49] 47.3% [58] 5598(24.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [73] 82.3% f37 [75] 14.2% ->flonum [79] 3.5% ----------------------------------------------------------------------- errors [52] 100.0% [59] 1198(5.1%) 202(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [66] 66.3% ??? [77] 16.9% ----------------------------------------------------------------------- for-loop [54] 100.0% [60] 1044(4.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [65] 100.0% ----------------------------------------------------------------------- for-loop [24] 47.6% for-loop [50] 52.4% [61] 420(1.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [67] 100.0% ----------------------------------------------------------------------- approximate9 [55] 100.0% [62] 218(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ----------------------------------------------------------------------- errors [52] 100.0% [63] 200(0.9%) 200(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- list-cartesian-product [53] 100.0% [64] 198(0.9%) 198(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- for-loop [60] 100.0% [65] 1044(4.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [69] 100.0% ----------------------------------------------------------------------- for-loop [59] 100.0% [66] 794(3.4%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [83] 100.0% ----------------------------------------------------------------------- ??? [61] 100.0% [67] 420(1.8%) 420(1.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- localize-error [22] 15.8% ??? [71] 26.3% loop [62] 26.3% ??? [5] 31.6% [68] 414(1.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [72] 47.3% ??? [71] 26.3% simplify [70] 26.3% ----------------------------------------------------------------------- hash-update! [65] 100.0% [69] 1044(4.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [74] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 21.5% first-nonzero-exp [11] 78.5% [70] 1012(4.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [75] 78.5% simplify* [76] 21.5% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [71] 218(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ----------------------------------------------------------------------- hash-ref! [68] 100.0% [72] 196(0.8%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [73] 100.0% ----------------------------------------------------------------------- make-exacts* [49] 0.3% parse-loop12 [72] 0.3% map [58] 0.8% loop! [78] 2.0% map-enodes [20] 2.8% for-loop [42] 4.0% extract-alt [14] 5.9% loop [73] 83.8% [73] 10588(45.5%) 220(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [73] 83.8% simplify [3] 5.9% for-loop [80] 2.8% loop! [78] 2.0% loop [81] 1.9% ??? [77] 1.1% ??? [5] 0.3% ->flonum [79] 0.0% ----------------------------------------------------------------------- ??? [69] 100.0% [74] 1044(4.5%) 644(2.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [87] 38.3% ----------------------------------------------------------------------- simplify [70] 25.0% f37 [75] 25.0% map [58] 25.0% approximate9 [55] 25.0% [75] 794(3.4%) 794(3.4%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [58] 25.0% f37 [75] 25.0% taylor-invert [4] 25.0% ----------------------------------------------------------------------- simplify [70] 100.0% [76] 218(0.9%) 218(0.9%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 ----------------------------------------------------------------------- for-loop [59] 2.7% loop [73] 97.3% [77] 7620(32.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 90.8% real->bigfloat [85] 9.2% ----------------------------------------------------------------------- loop [73] 40.6% apply-match [30] 59.4% [78] 818(3.5%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [73] 40.6% custom-set-union [88] 26.9% set [84] 20.3% update-en-expr [87] 12.2% ----------------------------------------------------------------------- map [58] 29.8% loop [73] 70.2% [79] 658(2.8%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 65.3% ??? [83] 34.7% ----------------------------------------------------------------------- loop [73] 100.0% [80] 640(2.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [86] 100.0% ----------------------------------------------------------------------- for-loop [42] 50.0% loop [73] 50.0% [81] 400(1.7%) 400(1.7%) loop ...e/racket/collects/racket/function.rkt:53:6 ----------------------------------------------------------------------- ??? [77] 100.0% [82] 6918(29.7%) 202(0.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [95] 65.4% bf* [93] 14.3% ...higher-order.rkt:373:33 [89] 10.9% bfcube [90] 6.5% ----------------------------------------------------------------------- ->flonum [79] 22.3% ulp-difference [66] 77.7% [83] 1022(4.4%) 1022(4.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- new-enode [57] 25.1% filter-loop! [48] 25.1% loop! [78] 49.9% [84] 798(3.4%) 798(3.4%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- ??? [77] 100.0% [85] 702(3.0%) 468(2.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 33.3% ----------------------------------------------------------------------- for-loop [80] 100.0% [86] 640(2.8%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [91] 65.9% ??? [95] 34.1% ----------------------------------------------------------------------- loop! [78] 33.3% for-loop [74] 66.7% [87] 600(2.6%) 600(2.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- loop! [78] 100.0% [88] 220(0.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [92] 100.0% ----------------------------------------------------------------------- ??? [82] 100.0% [89] 752(3.2%) 232(1.0%) ...higher-order.rkt:373:33 (unknown source) ??? [96] 69.1% ----------------------------------------------------------------------- ??? [82] 100.0% [90] 450(1.9%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [93] 100.0% ----------------------------------------------------------------------- eval-const-expr [86] 100.0% [91] 422(1.8%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [94] 100.0% ----------------------------------------------------------------------- custom-set-union [88] 100.0% [92] 220(0.9%) 220(0.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 ----------------------------------------------------------------------- bfcube [90] 31.2% ??? [82] 68.8% [93] 1442(6.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [95] 100.0% ----------------------------------------------------------------------- inductor [94] 50.0% expression-induct31 [91] 50.0% [94] 422(1.8%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [94] 50.0% ??? [96] 50.0% ----------------------------------------------------------------------- eval-const-expr [86] 3.5% bf* [93] 23.3% ??? [82] 73.1% [95] 6182(26.6%) 238(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [97] 76.7% ??? [98] 15.6% bfcbrt [99] 3.8% ----------------------------------------------------------------------- inductor [94] 44.8% ...higher-order.rkt:373:33 [89] 55.2% [96] 942(4.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ----------------------------------------------------------------------- ??? [95] 100.0% [97] 4742(20.4%) 3780(16.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 20.3% ----------------------------------------------------------------------- ->flonum [79] 18.4% ??? [96] 40.3% ??? [95] 41.3% [98] 2338(10.0%) 1236(5.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 47.1% ----------------------------------------------------------------------- ??? [95] 100.0% [99] 236(1.0%) 236(1.0%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- real->bigfloat [85] 19.6% bfadd [97] 80.4% [100] 1196(5.1%) 1196(5.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [98] 100.0% [101] 1102(4.7%) 226(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 79.5% ----------------------------------------------------------------------- ??? [101] 100.0% [102] 876(3.8%) 876(3.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------