Profiling results ----------------- Total cpu time observed: 25522ms (out of 26052ms) Number of samples taken: 109 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 105 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [22] 100.0% [1] 24864(97.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [22] 100.0% [2] 10886(42.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 94.2% get-final-combination [6] 2.0% loop [27] 1.9% setup-prog [8] 1.9% ---------------------------------------------------------------------- hash-ref! [64] 100.0% [3] 220(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [7] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 24864(97.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 10258(40.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 222(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% ---------------------------------------------------------------------- ??? [3] 100.0% [7] 220(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [64] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 202(0.8%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [9] 10258(40.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 87.6% finalize-iter! [14] 6.4% gen-series! [15] 4.1% localize-error [16] 1.9% ---------------------------------------------------------------------- get-final-combination [6] 100.0% [10] 222(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [79] 100.0% ---------------------------------------------------------------------- setup-prog [8] 100.0% [11] 202(0.8%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [12] 100.0% ---------------------------------------------------------------------- simplify-alt [11] 2.1% loop [79] 2.4% ??? [22] 95.5% [12] 9406(36.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [18] 59.6% iterate-egraph!5 [23] 29.3% loop [24] 6.8% for-loop [21] 4.3% ---------------------------------------------------------------------- run-iter! [9] 100.0% [13] 8982(35.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [17] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [14] 654(2.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [19] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [15] 422(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [20] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [16] 200(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [64] 100.0% ---------------------------------------------------------------------- simplify! [13] 100.0% [17] 8982(35.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 100.0% ---------------------------------------------------------------------- simplify [12] 100.0% [18] 5610(22.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 92.5% loop [24] 7.5% ---------------------------------------------------------------------- finalize-iter! [14] 100.0% [19] 654(2.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [25] 100.0% ---------------------------------------------------------------------- gen-series! [15] 100.0% [20] 422(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [26] 100.0% ---------------------------------------------------------------------- simplify [12] 100.0% [21] 400(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 100.0% ---------------------------------------------------------------------- for-loop [17] 12.1% run [4] 43.5% [22] 25292(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.5% loop [27] 28.5% run-improve58 [2] 15.9% simplify [12] 12.1% ---------------------------------------------------------------------- for-loop [21] 4.8% simplify [12] 33.0% simplify-expr [18] 62.2% [23] 8346(32.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [28] 91.5% map-enodes [30] 8.5% ---------------------------------------------------------------------- simplify-expr [18] 39.4% simplify [12] 60.6% [24] 1060(4.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [29] 100.0% ---------------------------------------------------------------------- ??? [19] 100.0% [25] 654(2.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [31] 100.0% ---------------------------------------------------------------------- for-loop [20] 100.0% [26] 422(1.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [32] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.4% ??? [22] 98.6% [27] 14610(57.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [40] 42.9% loop [33] 37.7% loop [41] 19.4% ---------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [28] 7638(29.9%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [34] 66.6% loop [35] 16.8% apply-match [42] 11.3% loop [39] 5.3% ---------------------------------------------------------------------- loop [24] 100.0% [29] 1060(4.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [36] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [30] 708(2.8%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [79] 100.0% ---------------------------------------------------------------------- for-loop [25] 100.0% [31] 654(2.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [37] 100.0% ---------------------------------------------------------------------- taylor-alt [26] 100.0% [32] 422(1.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% ---------------------------------------------------------------------- loop [27] 100.0% [33] 5510(21.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [41] 54.8% make-exacts* [40] 41.2% eval-prog [51] 4.0% ---------------------------------------------------------------------- for-loop [34] 45.9% one-iter [28] 54.1% [34] 5084(19.9%) 1472(5.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [34] 45.9% match-e [48] 35.5% ---------------------------------------------------------------------- one-iter [28] 100.0% [35] 1286(5.0%) 200(0.8%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [42] 84.4% ---------------------------------------------------------------------- pass [29] 100.0% [36] 1060(4.2%) 202(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [43] 62.1% loop [46] 18.9% ---------------------------------------------------------------------- atab-add-altn [31] 100.0% [37] 654(2.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [44] 100.0% ---------------------------------------------------------------------- for-loop [32] 42.0% location-do [38] 58.0% [38] 422(1.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [38] 58.0% approximate9 [45] 42.0% ---------------------------------------------------------------------- one-iter [28] 100.0% [39] 404(1.6%) 404(1.6%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- loop [33] 26.6% loop [27] 73.4% [40] 8542(33.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [47] 54.9% loop [79] 45.1% ---------------------------------------------------------------------- loop [27] 48.4% loop [33] 51.6% [41] 5848(22.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [47] 100.0% ---------------------------------------------------------------------- one-iter [28] 44.3% loop [35] 55.7% [42] 1950(7.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [50] 35.2% loop! [52] 21.6% match-e [48] 11.3% for-loop [53] 11.3% substitute-e [55] 10.4% mk-enode! [61] 10.3% ---------------------------------------------------------------------- for-loop [36] 100.0% [43] 658(2.6%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [49] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [37] 100.0% [44] 654(2.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [51] 69.4% for-loop [56] 30.6% ---------------------------------------------------------------------- location-do [38] 100.0% [45] 422(1.7%) 202(0.8%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [54] 52.1% ---------------------------------------------------------------------- for-loop [36] 100.0% [46] 200(0.8%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [49] 100.0% ---------------------------------------------------------------------- make-exacts* [40] 44.5% loop [41] 55.5% [47] 10534(41.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [79] 98.1% ??? [82] 1.9% ---------------------------------------------------------------------- apply-match [42] 5.7% for-loop [65] 5.9% for-loop [34] 88.4% [48] 3832(15.0%) 2334(9.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [57] 33.9% list-cartesian-product [68] 5.2% ---------------------------------------------------------------------- loop [46] 23.3% argmin [43] 76.7% [49] 858(3.4%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [58] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [50] 19.1% apply-match [42] 80.9% [50] 686(2.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [59] 61.8% merge-egraph-nodes! [50] 19.1% enode-merge! [62] 19.1% ---------------------------------------------------------------------- loop [33] 32.6% errors [44] 67.4% [51] 674(2.6%) 436(1.7%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 parse-app [63] 35.3% ---------------------------------------------------------------------- apply-match [42] 100.0% [52] 422(1.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [60] 100.0% ---------------------------------------------------------------------- apply-match [42] 100.0% [53] 220(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [61] 100.0% ---------------------------------------------------------------------- approximate9 [45] 100.0% [54] 220(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [64] 100.0% ---------------------------------------------------------------------- apply-match [42] 33.3% substitute-e [55] 66.7% [55] 202(0.8%) 202(0.8%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [55] 66.7% ---------------------------------------------------------------------- errors [44] 100.0% [56] 200(0.8%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [82] 100.0% ---------------------------------------------------------------------- match-e [48] 100.0% [57] 1298(5.1%) 886(3.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [65] 33.0% list-cartesian-product [68] 8.1% ---------------------------------------------------------------------- expression-cost [49] 100.0% [58] 858(3.4%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [64] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [50] 100.0% [59] 424(1.7%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [66] 100.0% ---------------------------------------------------------------------- loop! [52] 100.0% [60] 422(1.7%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [67] 100.0% ---------------------------------------------------------------------- apply-match [42] 47.6% for-loop [53] 52.4% [61] 420(1.6%) 200(0.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [69] 52.4% ---------------------------------------------------------------------- merge-egraph-nodes! [50] 100.0% [62] 262(1.0%) 262(1.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 ---------------------------------------------------------------------- eval-prog [51] 100.0% [63] 238(0.9%) 238(0.9%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- for-loop [7] 5.7% ??? [74] 5.7% loop [54] 5.7% localize-error [16] 15.6% compile [58] 27.0% ??? [70] 40.1% [64] 1278(5.0%) 400(1.6%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [70] 58.0% parse-loop12 [77] 15.6% ??? [74] 5.7% ??? [3] 5.7% simplify [73] 5.7% ---------------------------------------------------------------------- for-loop [57] 100.0% [65] 654(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [48] 69.1% ??? [75] 30.9% ---------------------------------------------------------------------- update-leader! [59] 100.0% [66] 424(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [71] 100.0% ---------------------------------------------------------------------- custom-set-union [60] 100.0% [67] 422(1.7%) 202(0.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [72] 52.1% ---------------------------------------------------------------------- match-e [48] 48.8% for-loop [57] 51.2% [68] 410(1.6%) 410(1.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- mk-enode! [61] 100.0% [69] 220(0.9%) 220(0.9%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- hash-ref! [64] 100.0% [70] 858(3.4%) 458(1.8%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [64] 73.3% ---------------------------------------------------------------------- for-loop [66] 100.0% [71] 424(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [76] 100.0% ---------------------------------------------------------------------- for-loop [67] 100.0% [72] 220(0.9%) 220(0.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- hash-ref! [64] 100.0% [73] 220(0.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [77] 100.0% ---------------------------------------------------------------------- hash-ref! [64] 100.0% [74] 220(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [64] 100.0% ---------------------------------------------------------------------- for-loop [65] 100.0% [75] 202(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [78] 100.0% ---------------------------------------------------------------------- for-loop [71] 100.0% [76] 424(1.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [80] 100.0% ---------------------------------------------------------------------- simplify [73] 10.5% parse-loop12 [77] 41.9% hash-ref! [64] 47.6% [77] 420(1.6%) 220(0.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [79] 47.6% parse-loop12 [77] 41.9% ---------------------------------------------------------------------- ??? [75] 100.0% [78] 202(0.8%) 0(0.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 constant? [81] 100.0% ---------------------------------------------------------------------- parse-loop12 [77] 0.1% make-exacts* [40] 0.1% map-enodes [30] 0.8% map [47] 1.0% extract-alt [10] 1.4% loop [79] 96.5% [79] 15548(60.9%) 440(1.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [79] 96.5% simplify [12] 1.4% ??? [82] 1.0% for-loop [83] 0.8% ->flonum [86] 0.0% ---------------------------------------------------------------------- hash-update! [76] 100.0% [80] 424(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [84] 100.0% ---------------------------------------------------------------------- for-loop [78] 100.0% [81] 202(0.8%) 202(0.8%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- for-loop [56] 1.4% map [47] 1.4% loop [79] 97.1% [82] 13936(54.6%) 2070(8.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 52.1% real->bigfloat [97] 25.3% ??? [99] 6.3% ->flonum [86] 1.4% ---------------------------------------------------------------------- loop [79] 100.0% [83] 708(2.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [87] 34.2% eval-const-expr [88] 34.2% ->flonum [86] 31.6% ---------------------------------------------------------------------- ??? [80] 100.0% [84] 424(1.7%) 222(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [89] 47.6% ---------------------------------------------------------------------- ??? [82] 100.0% [85] 7262(28.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [94] 72.0% bf* [90] 16.1% ...higher-order.rkt:373:33 [91] 11.9% ---------------------------------------------------------------------- ??? [82] 23.0% for-loop [83] 25.8% loop [79] 51.2% [86] 868(3.4%) 200(0.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [92] 77.0% ---------------------------------------------------------------------- for-loop [83] 100.0% [87] 242(0.9%) 242(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- for-loop [83] 100.0% [88] 242(0.9%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [93] 100.0% ---------------------------------------------------------------------- for-loop [84] 100.0% [89] 202(0.8%) 202(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ??? [85] 100.0% [90] 1172(4.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [94] 100.0% ---------------------------------------------------------------------- ??? [85] 100.0% [91] 864(3.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 100.0% ---------------------------------------------------------------------- ->flonum [86] 100.0% [92] 668(2.6%) 668(2.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- eval-const-expr [88] 100.0% [93] 242(0.9%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [96] 100.0% ---------------------------------------------------------------------- bf* [90] 18.3% ??? [85] 81.7% [94] 6398(25.1%) 2454(9.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [98] 50.9% ??? [101] 7.3% bfexp [100] 3.4% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [91]100.0% [95] 864(3.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [99] 100.0% ---------------------------------------------------------------------- inductor [96] 50.0% expression-induct31 [93] 50.0% [96] 242(0.9%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [96] 50.0% real->bigfloat [97] 50.0% ---------------------------------------------------------------------- inductor [96] 6.4% ??? [82] 93.6% [97] 3766(14.8%) 3546(13.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [102] 5.8% ---------------------------------------------------------------------- ??? [94] 100.0% [98] 3256(12.8%) 1644(6.4%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [102] 49.5% ---------------------------------------------------------------------- ??? [95] 49.5% ??? [82] 50.5% [99] 1744(6.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [101] 100.0% ---------------------------------------------------------------------- ??? [94] 100.0% [100] 218(0.9%) 218(0.9%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ---------------------------------------------------------------------- ??? [94] 21.2% ??? [99] 78.8% [101] 2214(8.7%) 2020(7.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [103] 8.8% ---------------------------------------------------------------------- real->bigfloat [97] 12.0% bfsub [98] 88.0% [102] 1832(7.2%) 1832(7.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [101] 100.0% [103] 194(0.8%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [104] 100.0% ---------------------------------------------------------------------- ??? [103] 100.0% [104] 194(0.8%) 194(0.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------