Profiling results ----------------- Total cpu time observed: 32592ms (out of 33060ms) Number of samples taken: 140 (once every 233ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [33] 100.0% [1] 32170(98.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% --------------------------------------------------------------------- ??? [33] 100.0% [2] 6548(20.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 76.7% loop [9] 16.9% get-final-combination [11] 6.4% --------------------------------------------------------------------- hash-ref! [82] 100.0% [3] 1096(3.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [34] 81.6% hash-ref! [82] 18.4% --------------------------------------------------------------------- hash-ref! [82] 100.0% [4] 422(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% --------------------------------------------------------------------- hash-ref! [82] 100.0% [5] 422(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% --------------------------------------------------------------------- hash-ref! [82] 100.0% [6] 422(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [14] 100.0% --------------------------------------------------------------------- f94 [59] 100.0% [7] 236(0.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [15] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 99.4% [8] 32370(99.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% --------------------------------------------------------------------- run-improve58 [2] 4.1% ??? [33] 95.9% [9] 26926(82.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [16] 50.1% make-exacts* [21] 34.4% loop [22] 15.5% --------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 5022(15.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 422(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [12] 422(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [19] 76.1% hash-ref! [82] 23.9% --------------------------------------------------------------------- ??? [4] 100.0% [13] 422(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [82] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [14] 422(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [20] 100.0% --------------------------------------------------------------------- taylor-invert [7] 100.0% [15] 236(0.7%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [46] 100.0% --------------------------------------------------------------------- loop [9] 100.0% [16] 13484(41.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [22] 49.7% make-exacts* [21] 40.5% eval-prog [29] 9.8% --------------------------------------------------------------------- for-loop [10] 100.0% [17] 5022(15.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 66.8% gen-series! [24] 21.2% finalize-iter! [25] 12.0% --------------------------------------------------------------------- get-final-combination [11] 100.0% [18] 422(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [34] 52.1% argmins [26] 47.9% --------------------------------------------------------------------- for-loop [12] 100.0% [19] 422(1.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [82] 100.0% --------------------------------------------------------------------- for-loop [14] 100.0% [20] 422(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [82] 100.0% --------------------------------------------------------------------- loop [16] 37.1% loop [9] 62.9% [21] 14724(45.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [27] 50.9% loop [34] 47.7% eval-prog [29] 1.4% --------------------------------------------------------------------- loop [9] 38.4% loop [16] 61.6% [22] 10884(33.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [27] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [23] 3356(10.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [24] 1064(3.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [25] 602(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [31] 100.0% --------------------------------------------------------------------- extract-alt [18] 100.0% [26] 202(0.6%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [32] 100.0% --------------------------------------------------------------------- f94 [59] 1.1% make-exacts* [21] 40.3% loop [22] 58.6% [27] 18574(57.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [34] 97.6% ??? [64] 1.3% ??? [38] 1.1% --------------------------------------------------------------------- simplify! [23] 100.0% [28] 3356(10.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 94.0% debug-print [39] 6.0% --------------------------------------------------------------------- make-exacts* [21] 13.6% loop [16] 86.4% [29] 1526(4.7%) 216(0.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [82] 72.2% inductor [37] 13.6% --------------------------------------------------------------------- gen-series! [24] 100.0% [30] 1064(3.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% --------------------------------------------------------------------- finalize-iter! [25] 100.0% [31] 602(1.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 66.8% ??? [83] 33.2% --------------------------------------------------------------------- argmins [26] 100.0% [32] 202(0.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [54] 100.0% --------------------------------------------------------------------- for-loop [28] 3.2% run [8] 48.7% [33] 32370(99.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.1% loop [9] 39.9% run-improve58 [2] 8.8% simplify [40] 3.2% --------------------------------------------------------------------- make-exacts* [21] 0.3% parse-loop50 [55] 0.8% extract-alt [18] 0.8% map [27] 0.9% ??? [3] 3.4% loop [34] 93.8% [34] 26498(81.3%) 222(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [34] 93.8% hash-ref! [82] 3.4% ??? [64] 1.1% simplify [40] 0.8% parse-loop50 [55] 0.8% ->flonum [41] 0.1% --------------------------------------------------------------------- for-loop [30] 100.0% [35] 1064(3.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% --------------------------------------------------------------------- ??? [31] 100.0% [36] 402(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% --------------------------------------------------------------------- eval-prog [29] 100.0% [37] 208(0.6%) 208(0.6%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 --------------------------------------------------------------------- map [27] 100.0% [38] 202(0.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor-exp [44] 100.0% --------------------------------------------------------------------- for-loop [28] 100.0% [39] 200(0.6%) 200(0.6%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 --------------------------------------------------------------------- loop [34] 6.5% ??? [33] 93.5% [40] 3376(10.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [52] 75.1% simplify-expr [47] 12.4% for-loop [49] 6.5% loop [50] 6.0% --------------------------------------------------------------------- loop [34] 100.0% [41] 1522(4.7%) 358(1.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 45.6% ??? [75] 17.9% ??? [51] 13.0% --------------------------------------------------------------------- taylor-alt [35] 100.0% [42] 1064(3.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% --------------------------------------------------------------------- for-loop [36] 100.0% [43] 402(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 100.0% --------------------------------------------------------------------- ??? [38] 100.0% [44] 202(0.6%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [46] 100.0% --------------------------------------------------------------------- location-do [45] 11.1% for-loop [42] 88.9% [45] 1064(3.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [53] 88.9% location-do [45] 11.1% --------------------------------------------------------------------- taylor-exp [44] 23.5% first-nonzero-exp [15] 27.4% hash-ref! [82] 49.1% [46] 860(2.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [55] 49.1% f94 [59] 27.4% debug7 [56] 23.5% --------------------------------------------------------------------- simplify [40] 100.0% [47] 420(1.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [52] 100.0% --------------------------------------------------------------------- atab-add-altn [43] 100.0% [48] 402(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [54] 100.0% --------------------------------------------------------------------- simplify [40] 100.0% [49] 220(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [52] 100.0% --------------------------------------------------------------------- simplify [40] 100.0% [50] 202(0.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [57] 100.0% --------------------------------------------------------------------- ->flonum [41] 100.0% [51] 198(0.6%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [87] 100.0% --------------------------------------------------------------------- for-loop [49] 6.9% simplify-expr [47] 13.2% simplify [40] 79.8% [52] 3174(9.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [58] 100.0% --------------------------------------------------------------------- location-do [45] 100.0% [53] 1064(3.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [59] 60.3% loop [61] 39.7% --------------------------------------------------------------------- composed [32] 33.4% best-and-tied-at-points [48] 66.6% [54] 604(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [60] 100.0% --------------------------------------------------------------------- loop [34] 13.0% simplify [46] 37.0% parse-loop50 [55] 50.0% [55] 422(1.3%) 202(0.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [55] 50.0% loop [34] 13.0% f94 [59] 13.0% --------------------------------------------------------------------- simplify [46] 100.0% [56] 202(0.6%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [62] 100.0% --------------------------------------------------------------------- loop [50] 100.0% [57] 202(0.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [63] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [52] 100.0% [58] 3174(9.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [65] 78.4% loop [66] 21.6% --------------------------------------------------------------------- simplify [46] 6.8% f94 [59] 13.7% parse-loop50 [55] 25.5% approximate9 [53] 53.9% [59] 862(2.6%) 660(2.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [27] 23.4% f94 [59] 13.7% taylor-invert [7] 6.8% --------------------------------------------------------------------- errors [54] 100.0% [60] 604(1.9%) 200(0.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [64] 66.9% --------------------------------------------------------------------- approximate9 [53] 100.0% [61] 422(1.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [82] 100.0% --------------------------------------------------------------------- debug7 [56] 100.0% [62] 202(0.6%) 202(0.6%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 --------------------------------------------------------------------- pass [57] 100.0% [63] 202(0.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [67] 100.0% --------------------------------------------------------------------- map [27] 1.0% for-loop [60] 1.7% loop [34] 97.3% [64] 24060(73.8%) 724(2.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [68] 84.9% real->bigfloat [69] 10.2% ??? [86] 1.9% --------------------------------------------------------------------- for-loop [65] 50.0% one-iter [58] 50.0% [65] 2490(7.6%) 420(1.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [65] 50.0% match-e [70] 41.6% --------------------------------------------------------------------- one-iter [58] 100.0% [66] 684(2.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [71] 100.0% --------------------------------------------------------------------- for-loop [63] 100.0% [67] 202(0.6%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [72] 100.0% --------------------------------------------------------------------- ??? [64] 100.0% [68] 20416(62.6%) 586(1.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [73] 89.7% ...higher-order.rkt:373:33 [74] 6.4% ??? [75] 1.0% --------------------------------------------------------------------- ??? [64] 100.0% [69] 2460(7.5%) 2242(6.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [87] 8.9% --------------------------------------------------------------------- for-loop [65] 100.0% [70] 2070(6.4%) 1666(5.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [77] 19.5% --------------------------------------------------------------------- loop [66] 100.0% [71] 684(2.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [76] 64.9% substitute-e [78] 35.1% --------------------------------------------------------------------- argmin [67] 100.0% [72] 202(0.6%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [79] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [73] 18318(56.2%) 8720(26.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [80] 23.0% bflog1p [81] 15.2% ??? [93] 14.3% --------------------------------------------------------------------- ??? [68] 100.0% [74] 1310(4.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [83] 63.7% ??? [86] 36.3% --------------------------------------------------------------------- ??? [68] 42.6% ->flonum [41] 57.4% [75] 474(1.5%) 474(1.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- apply-match [71] 100.0% [76] 444(1.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [85] 50.0% mk-enode! [84] 50.0% --------------------------------------------------------------------- match-e [70] 100.0% [77] 404(1.2%) 404(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 --------------------------------------------------------------------- apply-match [71] 100.0% [78] 240(0.7%) 240(0.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 --------------------------------------------------------------------- expression-cost [72] 100.0% [79] 202(0.6%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [82] 100.0% --------------------------------------------------------------------- ??? [73] 100.0% [80] 4204(12.9%) 3108(9.5%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [87] 26.1% --------------------------------------------------------------------- ??? [73] 100.0% [81] 2780(8.5%) 2584(7.9%) bflog1p ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [87] 7.1% --------------------------------------------------------------------- for-loop [12] 1.7% ??? [91] 2.1% for-loop [20] 3.8% ??? [19] 3.8% ??? [89] 3.8% loop [61] 3.8% compile [79] 3.9% for-loop [13] 5.5% ??? [3] 7.8% loop [34] 29.3% eval-prog [29] 34.5% [82] 1726(5.3%) 202(0.6%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 37.1% bigfloat-hash [88] 34.5% ??? [5] 5.5% ??? [4] 5.5% ??? [89] 3.8% ??? [6] 3.8% simplify [46] 3.8% ??? [91] 2.1% --------------------------------------------------------------------- ??? [31] 19.3% ...higher-order.rkt:373:33 [74] 80.7% [83] 1034(3.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [86] 80.7% for-loop [92] 19.3% --------------------------------------------------------------------- for-loop [76] 100.0% [84] 222(0.7%) 222(0.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- for-loop [76] 100.0% [85] 222(0.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [90] 100.0% --------------------------------------------------------------------- ??? [64] 26.0% ...higher-order.rkt:373:33 [74] 26.9% ??? [83] 47.1% [86] 1770(5.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% --------------------------------------------------------------------- bflog1p [81] 11.5% ??? [51] 11.6% real->bigfloat [69] 12.8% bfsub [80] 64.2% [87] 1708(5.2%) 1708(5.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- hash-ref! [82] 100.0% [88] 1102(3.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [94] 59.0% sig+exp->bigfloat [95] 41.0% --------------------------------------------------------------------- hash-ref! [82] 100.0% [89] 422(1.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [82] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [90] 222(0.7%) 222(0.7%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- hash-ref! [82] 100.0% [91] 220(0.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [82] 100.0% --------------------------------------------------------------------- ??? [83] 100.0% [92] 200(0.6%) 200(0.6%) for-loop ...acket/contract/private/list.rkt:190:15 --------------------------------------------------------------------- ->flonum [41] 13.7% ??? [86] 34.9% ??? [73] 51.5% [93] 5078(15.6%) 2622(8.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 48.4% --------------------------------------------------------------------- bigfloat-hash [88] 100.0% [94] 650(2.0%) 650(2.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- bigfloat-hash [88] 100.0% [95] 452(1.4%) 452(1.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- ??? [93] 100.0% [96] 2456(7.5%) 1786(5.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 27.3% --------------------------------------------------------------------- ??? [96] 100.0% [97] 670(2.1%) 670(2.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------