Profiling results ----------------- Total cpu time observed: 30218ms (out of 30724ms) Number of samples taken: 130 (once every 232ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 106 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [32] 100.0% [1] 28728(95.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [32] 100.0% [2] 16830(55.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 94.8% get-final-combination [12] 4.1% loop [37] 1.2% ---------------------------------------------------------------------- loop [73] 4.7% ??? [32] 95.3% [3] 14558(48.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [10] 47.0% simplify-expr [11] 44.7% iterate-egraph!5 [17] 8.3% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [4] 1142(3.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [73] 78.8% hash-ref! [78] 21.2% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [5] 402(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [14] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [6] 402(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [7] 202(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [15] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 28728(95.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 15952(52.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 6840(22.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 96.5% loop [19] 3.5% ---------------------------------------------------------------------- simplify [3] 100.0% [11] 6512(21.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 682(2.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [13] 402(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [78] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [14] 402(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [78] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [15] 202(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [78] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [16] 15952(52.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 87.0% finalize-iter! [22] 9.2% gen-series! [23] 3.8% ---------------------------------------------------------------------- simplify [3] 8.4% simplify-expr [11] 45.5% for-loop [10] 46.1% [17] 14316(47.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 98.5% ---------------------------------------------------------------------- get-final-combination [12] 100.0% [18] 682(2.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [73] 100.0% ---------------------------------------------------------------------- for-loop [10] 100.0% [19] 242(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [24] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [20] 14096(46.6%) 220(0.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 52.4% loop [27] 36.4% apply-match [33] 6.6% loop [30] 3.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [21] 13876(45.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [22] 1474(4.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [23] 602(2.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ---------------------------------------------------------------------- loop [19] 100.0% [24] 242(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [31] 100.0% ---------------------------------------------------------------------- simplify! [21] 100.0% [25] 13876(45.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% ---------------------------------------------------------------------- for-loop [26] 48.6% one-iter [20] 51.4% [26] 7392(24.5%) 1710(5.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 48.6% match-e [38] 38.4% ---------------------------------------------------------------------- one-iter [20] 100.0% [27] 5136(17.0%) 202(0.7%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 96.1% ---------------------------------------------------------------------- finalize-iter! [22] 100.0% [28] 1474(4.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% ---------------------------------------------------------------------- gen-series! [23] 100.0% [29] 602(2.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ---------------------------------------------------------------------- one-iter [20] 100.0% [30] 422(1.4%) 422(1.4%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- pass [24] 100.0% [31] 242(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [36] 100.0% ---------------------------------------------------------------------- for-loop [25] 15.9% run [8] 40.6% [32] 30024(99.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.6% loop [37] 22.4% run-improve58 [2] 21.1% simplify [3] 15.9% ---------------------------------------------------------------------- one-iter [20] 15.8% loop [27] 84.2% [33] 5860(19.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [39] 45.8% match-e [38] 32.5% mk-enode! [49] 11.2% for-loop [43] 3.6% update-leader! [47] 3.4% substitute-e [44] 3.4% ---------------------------------------------------------------------- ??? [28] 100.0% [34] 1474(4.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ---------------------------------------------------------------------- for-loop [29] 100.0% [35] 602(2.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% ---------------------------------------------------------------------- for-loop [31] 100.0% [36] 242(0.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [42] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.5% ??? [32] 98.5% [37] 13390(44.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [45] 44.3% make-exacts* [54] 42.9% loop [55] 12.8% ---------------------------------------------------------------------- for-loop [57] 10.9% apply-match [33] 21.2% for-loop [26] 68.0% [38] 7584(25.1%) 4626(15.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 29.0% list-cartesian-product [58] 10.1% for-loop [57] 5.4% constant? [53] 2.7% ---------------------------------------------------------------------- apply-match [33] 100.0% [39] 2686(8.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [47] 82.4% for-loop [51] 17.6% ---------------------------------------------------------------------- for-loop [34] 100.0% [40] 1474(4.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 86.8% loop [73] 13.2% ---------------------------------------------------------------------- taylor-alt [35] 100.0% [41] 602(2.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% ---------------------------------------------------------------------- argmin [36] 100.0% [42] 242(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [52] 100.0% ---------------------------------------------------------------------- apply-match [33] 100.0% [43] 212(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [80] 100.0% ---------------------------------------------------------------------- apply-match [33] 100.0% [44] 202(0.7%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [49] 100.0% ---------------------------------------------------------------------- loop [37] 100.0% [45] 5938(19.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [55] 52.7% make-exacts* [54] 40.1% eval-prog [63] 7.2% ---------------------------------------------------------------------- match-e [38] 100.0% [46] 2714(9.0%) 432(1.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [57] 49.0% list-cartesian-product [58] 24.2% loop [73] 7.2% filter [62] 3.6% ---------------------------------------------------------------------- apply-match [33] 8.4% merge-egraph-nodes! [39] 91.6% [47] 2416(8.0%) 216(0.7%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [56] 91.1% ---------------------------------------------------------------------- atab-add-altn [40] 100.0% [48] 1280(4.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [59] 100.0% ---------------------------------------------------------------------- substitute-e [44] 23.5% apply-match [33] 76.5% [49] 858(2.8%) 624(2.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [61] 27.3% ---------------------------------------------------------------------- for-loop [41] 100.0% [50] 602(2.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [60] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [39] 100.0% [51] 472(1.6%) 472(1.6%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- expression-cost [42] 100.0% [52] 242(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [78] 100.0% ---------------------------------------------------------------------- match-e [38] 100.0% [53] 202(0.7%) 202(0.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- loop [45] 29.3% loop [37] 70.7% [54] 8122(26.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [69] 55.1% loop [73] 36.2% eval-prog [63] 8.7% ---------------------------------------------------------------------- loop [37] 35.3% loop [45] 64.7% [55] 4838(16.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [69] 100.0% ---------------------------------------------------------------------- update-leader! [47] 100.0% [56] 2200(7.3%) 458(1.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 79.2% ---------------------------------------------------------------------- match-e [38] 30.1% for-loop [46] 69.9% [57] 2044(6.8%) 198(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 80.6% ??? [68] 9.7% ---------------------------------------------------------------------- for-loop [46] 29.3% match-e [38] 35.1% list-cartesian-product [58] 35.7% [58] 1534(5.1%) 1534(5.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [58] 35.7% ---------------------------------------------------------------------- best-and-tied-at-points [48] 100.0% [59] 1280(4.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [63] 51.7% for-loop [65] 48.3% ---------------------------------------------------------------------- location-do [50] 100.0% [60] 602(2.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [66] 66.8% f94 [67] 33.2% ---------------------------------------------------------------------- mk-enode! [49] 100.0% [61] 234(0.8%) 234(0.8%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- for-loop [46] 100.0% [62] 198(0.7%) 198(0.7%) filter ...t/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------- loop [45] 23.9% errors [59] 36.9% make-exacts* [54] 39.2% [63] 1796(5.9%) 674(2.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [78] 50.1% ??? [71] 12.4% ---------------------------------------------------------------------- for-loop [56] 100.0% [64] 1742(5.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [70] 100.0% ---------------------------------------------------------------------- errors [59] 100.0% [65] 618(2.0%) 198(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [76] 68.0% ---------------------------------------------------------------------- approximate9 [60] 100.0% [66] 402(1.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [78] 100.0% ---------------------------------------------------------------------- f94 [67] 50.0% approximate9 [60] 50.0% [67] 200(0.7%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 f94 [67] 50.0% map [69] 50.0% ---------------------------------------------------------------------- for-loop [57] 100.0% [68] 198(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [72] 100.0% ---------------------------------------------------------------------- f94 [67] 2.1% make-exacts* [54] 47.0% loop [55] 50.9% [69] 9514(31.5%) 200(0.7%) map ...acket/collects/racket/private/map.rkt:21:13 loop [73] 97.9% ---------------------------------------------------------------------- for-loop [64] 100.0% [70] 1742(5.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [74] 100.0% ---------------------------------------------------------------------- eval-prog [63] 100.0% [71] 222(0.7%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [75] 100.0% ---------------------------------------------------------------------- ??? [68] 100.0% [72] 198(0.7%) 198(0.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- make-exacts* [54] 0.1% loop! [80] 0.5% atab-add-altn [40] 1.3% for-loop [46] 1.3% extract-alt [18] 1.8% map [69] 3.0% ??? [4] 6.1% loop [73] 85.6% [73] 14660(48.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [73] 85.6% hash-ref! [78] 6.1% ??? [76] 2.9% simplify [3] 1.8% foldl [81] 1.3% loop! [80] 0.5% ->flonum [79] 0.1% ---------------------------------------------------------------------- hash-update! [70] 100.0% [74] 1742(5.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [77] 100.0% ---------------------------------------------------------------------- ??? [71] 100.0% [75] 222(0.7%) 222(0.7%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ---------------------------------------------------------------------- for-loop [65] 3.4% loop [73] 96.6% [76] 12462(41.2%) 218(0.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 77.5% real->bigfloat [83] 19.1% ??? [97] 1.6% ---------------------------------------------------------------------- ??? [74] 100.0% [77] 1742(5.8%) 1742(5.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- for-loop [15] 2.6% for-loop [14] 5.9% for-loop [13] 5.9% ??? [86] 5.9% loop [66] 5.9% ??? [4] 7.8% compile [52] 7.8% eval-prog [63] 20.6% loop [73] 37.7% [78] 1544(5.1%) 242(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 45.5% bigfloat-hash [84] 20.6% ??? [86] 5.9% ??? [6] 5.9% ??? [5] 5.9% simplify [85] 5.9% ??? [7] 2.6% ---------------------------------------------------------------------- loop [73] 100.0% [79] 214(0.7%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [100] 100.0% ---------------------------------------------------------------------- loop [73] 50.0% for-loop [43] 50.0% [80] 212(0.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [73] 50.0% set [87] 50.0% ---------------------------------------------------------------------- loop [73] 100.0% [81] 196(0.6%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [88] 100.0% ---------------------------------------------------------------------- ??? [76] 100.0% [82] 9664(32.0%) 722(2.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [94] 65.3% ...higher-order.rkt:373:33 [89] 14.4% bf* [90] 12.8% ---------------------------------------------------------------------- ??? [76] 100.0% [83] 2376(7.9%) 1916(6.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 19.4% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [84] 900(3.0%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [91] 78.2% bfcanonicalize [93] 21.8% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [85] 402(1.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [92] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [86] 402(1.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [78] 100.0% ---------------------------------------------------------------------- loop! [80] 100.0% [87] 212(0.7%) 212(0.7%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- foldl [81] 100.0% [88] 196(0.6%) 196(0.6%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- ??? [82] 100.0% [89] 1396(4.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 82.8% ??? [97] 17.2% ---------------------------------------------------------------------- ??? [82] 100.0% [90] 1236(4.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [94] 100.0% ---------------------------------------------------------------------- bigfloat-hash [84] 100.0% [91] 704(2.3%) 704(2.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- parse-loop50 [92] 25.1% simplify [85] 74.9% [92] 402(1.3%) 402(1.3%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [92] 25.1% ---------------------------------------------------------------------- bigfloat-hash [84] 100.0% [93] 196(0.6%) 196(0.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bf* [90] 16.4% ??? [82] 83.6% [94] 7546(25.0%) 902(3.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [96] 61.3% ??? [100] 14.1% bfsqrt [98] 12.7% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89]100.0% [95] 1156(3.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [97] 100.0% ---------------------------------------------------------------------- ??? [94] 100.0% [96] 4626(15.3%) 2092(6.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 54.8% ---------------------------------------------------------------------- ??? [76] 12.8% ...higher-order.rkt:373:33 [89] 15.0% ??? [95] 72.2% [97] 1600(5.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ---------------------------------------------------------------------- ??? [94] 100.0% [98] 956(3.2%) 240(0.8%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 74.9% ---------------------------------------------------------------------- real->bigfloat [83] 12.4% bfsqrt [98] 19.3% bfdiv [96] 68.3% [99] 3710(12.3%) 3710(12.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ->flonum [79] 7.4% ??? [94] 36.9% ??? [97] 55.6% [100] 2876(9.5%) 1182(3.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 48.8% ??? [102] 10.1% ---------------------------------------------------------------------- ??? [100] 100.0% [101] 1404(4.6%) 690(2.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [103] 50.9% ---------------------------------------------------------------------- ??? [100] 100.0% [102] 290(1.0%) 290(1.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ---------------------------------------------------------------------- ??? [101] 100.0% [103] 714(2.4%) 714(2.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------