Profiling results ----------------- Total cpu time observed: 99404ms (out of 100228ms) Number of samples taken: 413 (once every 241ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 193 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [58] 100.0% [1] 95076(95.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% ------------------------------------------------------------------------- ??? [58] 100.0% [2] 52660(53.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [14] 45.9% get-final-combination [15] 37.2% finalize-table! [17] 14.9% loop [72] 1.6% setup-prog [23] 0.4% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [3] 21950(22.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [138] 100.0% ------------------------------------------------------------------------- simplify-alt [33] 0.9% loop [138] 5.7% ??? [58] 93.3% [4] 21394(21.5%) 572(0.6%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [16] 49.3% for-loop [18] 26.1% iterate-egraph!5 [25] 21.9% ------------------------------------------------------------------------- copying-mergesort [85] 100.0% [5] 6204(6.2%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [113] 100.0% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [6] 5886(5.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [29] 76.1% hash-ref! [146] 20.5% simplify [28] 3.4% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [7] 5504(5.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [8] 5500(5.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [20] 100.0% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [9] 3798(3.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% ------------------------------------------------------------------------- loop [138] 100.0% [10] 1628(1.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [16] 100.0% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [11] 1022(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [22] 100.0% ------------------------------------------------------------------------- f37 [127] 100.0% [12] 662(0.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [128] 66.5% simplify [28] 33.5% ------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [13] 95076(95.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [58] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 24184(24.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [24] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 19586(19.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [26] 93.7% extract-alt [30] 5.1% loop [138] 1.1% ------------------------------------------------------------------------- completely-simplify-alt [10] 13.4% simplify [4] 86.6% [16] 12184(12.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [25] 96.6% loop [32] 3.4% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 7870(7.9%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% ------------------------------------------------------------------------- simplify [4] 100.0% [18] 5588(5.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [25] 100.0% ------------------------------------------------------------------------- ??? [7] 100.0% [19] 5504(5.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [29] 59.6% hash-ref! [146] 36.7% simplify [28] 3.7% ------------------------------------------------------------------------- ??? [8] 100.0% [20] 5500(5.5%) 202(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [146] 96.3% ------------------------------------------------------------------------- ??? [9] 100.0% [21] 3798(3.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [146] 94.7% simplify [28] 5.3% ------------------------------------------------------------------------- ??? [11] 100.0% [22] 1022(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [31] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [23] 200(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [33] 100.0% ------------------------------------------------------------------------- for-loop [14] 100.0% [24] 24184(24.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [35] 82.6% gen-series! [38] 12.8% finalize-iter! [39] 2.9% choose-best-alt! [44] 0.9% gen-rewrites! [45] 0.8% ------------------------------------------------------------------------- simplify [4] 21.2% for-loop [18] 25.4% simplify-expr [16] 53.4% [25] 22030(22.2%) 200(0.2%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [34] 97.3% ------------------------------------------------------------------------- get-final-combination [15] 100.0% [26] 18356(18.5%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [36] 95.2% ??? [52] 4.8% ------------------------------------------------------------------------- finalize-table! [17] 100.0% [27] 7870(7.9%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [37] 67.3% loop [138] 23.5% ??? [52] 6.1% localize-error [41] 3.0% ------------------------------------------------------------------------- taylor-quotient [123] 2.6% for-loop [21] 2.6% ??? [6] 2.6% for-loop [19] 2.6% taylor-invert [12] 2.9% hash-ref! [146] 86.8% [28] 7774(7.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [127] 67.4% parse-loop50 [157] 11.1% debug-print [148] 8.3% debug7 [40] 7.8% simplify-node [42] 5.4% ------------------------------------------------------------------------- ??? [161] 3.5% first-nonzero-exp [128] 3.5% ??? [6] 40.4% for-loop [19] 52.6% [29] 5722(5.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [146] 100.0% ------------------------------------------------------------------------- loop [138] 18.0% get-final-combination [15] 82.0% [30] 1230(1.2%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [138] 100.0% ------------------------------------------------------------------------- for-loop [22] 100.0% [31] 1022(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [146] 100.0% ------------------------------------------------------------------------- simplify-expr [16] 100.0% [32] 420(0.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [43] 100.0% ------------------------------------------------------------------------- setup-prog [23] 100.0% [33] 200(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [4] 100.0% ------------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [34] 21426(21.6%) 844(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [48] 60.4% loop [49] 29.8% apply-match [61] 4.9% ------------------------------------------------------------------------- run-iter! [24] 100.0% [35] 19964(20.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [46] 100.0% ------------------------------------------------------------------------- split-table [26] 100.0% [36] 17476(17.6%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [47] 94.7% loop [138] 5.3% ------------------------------------------------------------------------- post-process [27] 100.0% [37] 5300(5.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [50] 100.0% ------------------------------------------------------------------------- run-iter! [24] 100.0% [38] 3096(3.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [51] 100.0% ------------------------------------------------------------------------- run-iter! [24] 100.0% [39] 704(0.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [52] 100.0% ------------------------------------------------------------------------- simplify [28] 100.0% [40] 606(0.6%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [52] 33.3% ??? [56] 33.3% return/no-unsupplied [55] 33.3% ------------------------------------------------------------------------- loop [138] 47.6% post-process [27] 52.4% [41] 458(0.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [146] 100.0% ------------------------------------------------------------------------- simplify [28] 100.0% [42] 422(0.4%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [53] 100.0% ------------------------------------------------------------------------- loop [32] 100.0% [43] 420(0.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [54] 100.0% ------------------------------------------------------------------------- run-iter! [24] 100.0% [44] 220(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [52] 100.0% ------------------------------------------------------------------------- run-iter! [24] 100.0% [45] 200(0.2%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [57] 100.0% ------------------------------------------------------------------------- simplify! [35] 100.0% [46] 19964(20.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [58] 100.0% ------------------------------------------------------------------------- loop [138] 5.3% infer-splitpoints4 [36] 94.7% [47] 17476(17.6%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [59] 89.5% pick-errors [62] 9.3% err-lsts->split-indices [66] 1.3% ------------------------------------------------------------------------- for-loop [48] 48.4% one-iter [34] 51.6% [48] 12934(13.0%) 2476(2.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [48] 48.4% match-e [74] 40.4% ------------------------------------------------------------------------- one-iter [34] 100.0% [49] 6386(6.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [61] 100.0% ------------------------------------------------------------------------- f37 [127] 3.4% for-loop [37] 96.6% [50] 5300(5.3%) 200(0.2%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [60] 58.8% loop [138] 37.8% f37 [127] 2.9% ------------------------------------------------------------------------- gen-series! [38] 100.0% [51] 3096(3.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [60] 100.0% ------------------------------------------------------------------------- debug7 [40] 8.1% choose-best-alt! [44] 8.8% post-process [27] 19.4% finalize-iter! [39] 28.3% split-table [26] 35.3% [52] 2490(2.5%) 202(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [63] 47.7% split-atab [64] 35.3% atab-pick-alt8 [68] 8.8% ------------------------------------------------------------------------- simplify-node [42] 100.0% [53] 422(0.4%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [65] 100.0% ------------------------------------------------------------------------- pass [43] 100.0% [54] 420(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [67] 52.4% for-loop [70] 47.6% ------------------------------------------------------------------------- debug7 [40] 100.0% [55] 202(0.2%) 202(0.2%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------- debug7 [40] 100.0% [56] 202(0.2%) 0(0.0%) ??? ...racket/collects/racket/private/kw.rkt:713:9 ??? [69] 100.0% ------------------------------------------------------------------------- gen-rewrites! [45] 100.0% [57] 200(0.2%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [71] 100.0% ------------------------------------------------------------------------- for-loop [46] 6.9% run [13] 45.0% [58] 98724(99.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.0% run-improve58 [2] 24.4% loop [72] 23.8% simplify [4] 6.9% ------------------------------------------------------------------------- option-on-expr [47] 100.0% [59] 15634(15.7%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [73] 100.0% ------------------------------------------------------------------------- loop [138] 23.9% for-loop [51] 36.9% append-map [50] 39.2% [60] 8396(8.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [75] 100.0% ------------------------------------------------------------------------- one-iter [34] 14.0% loop [49] 86.0% [61] 7426(7.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [74] 42.3% merge-egraph-nodes! [88] 26.8% for-loop [79] 8.5% substitute-e [80] 8.3% mk-enode! [90] 5.7% loop! [101] 5.7% update-leader! [103] 2.7% ------------------------------------------------------------------------- option-on-expr [47] 100.0% [62] 1620(1.6%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [76] 100.0% ------------------------------------------------------------------------- ??? [52] 100.0% [63] 1188(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [77] 100.0% ------------------------------------------------------------------------- ??? [52] 100.0% [64] 880(0.9%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [78] 100.0% ------------------------------------------------------------------------- combine-aterms [53] 100.0% [65] 422(0.4%) 202(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [146] 52.1% ------------------------------------------------------------------------- option-on-expr [47] 100.0% [66] 222(0.2%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [81] 100.0% ------------------------------------------------------------------------- for-loop [54] 100.0% [67] 220(0.2%) 220(0.2%) argmin ...re/racket/collects/racket/list.rkt:743:0 ------------------------------------------------------------------------- ??? [52] 100.0% [68] 220(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [82] 100.0% ------------------------------------------------------------------------- ??? [56] 100.0% [69] 202(0.2%) 202(0.2%) ??? ...s/racket/contract/private/arr-i.rkt:1233:27 ------------------------------------------------------------------------- for-loop [54] 100.0% [70] 200(0.2%) 200(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------- for-loop [57] 100.0% [71] 200(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [83] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 1.7% ??? [58] 98.3% [72] 46884(47.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [84] 59.3% make-exacts* [96] 32.3% loop [97] 8.5% ------------------------------------------------------------------------- sort-context-on-expr [59] 100.0% [73] 15634(15.7%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [85] 77.1% loop [98] 22.9% ------------------------------------------------------------------------- for-loop [100] 8.2% apply-match [61] 20.1% for-loop [48] 71.6% [74] 13600(13.7%) 6838(6.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [87] 38.5% for-loop [100] 8.5% loop [138] 6.5% list-cartesian-product [102] 0.7% ------------------------------------------------------------------------- taylor-alt [60] 100.0% [75] 8396(8.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [86] 100.0% ------------------------------------------------------------------------- pick-errors [62] 100.0% [76] 1620(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [133] 100.0% ------------------------------------------------------------------------- for-loop [63] 100.0% [77] 1188(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [89] 100.0% ------------------------------------------------------------------------- split-atab [64] 100.0% [78] 880(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [91] 76.8% for-loop [94] 23.2% ------------------------------------------------------------------------- apply-match [61] 100.0% [79] 628(0.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [88] 100.0% ------------------------------------------------------------------------- apply-match [61] 100.0% [80] 620(0.6%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [90] 100.0% ------------------------------------------------------------------------- err-lsts->split-indices [66] 100.0% [81] 222(0.2%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [92] 100.0% ------------------------------------------------------------------------- atab-pick-alt8 [68] 100.0% [82] 220(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [93] 100.0% ------------------------------------------------------------------------- ??? [71] 16.7% matcher [112] 83.3% [83] 200(0.2%) 200(0.2%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [95] 83.3% ------------------------------------------------------------------------- loop [72] 100.0% [84] 27792(28.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 eval-prog [133] 40.1% make-exacts* [96] 34.5% loop [97] 25.3% ------------------------------------------------------------------------- sort [73] 44.4% copying-mergesort [85] 55.6% [85] 12052(12.1%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [85] 55.6% loop [98] 31.6% jloop [5] 12.9% ------------------------------------------------------------------------- location-do [86] 32.3% for-loop [75] 67.7% [86] 8396(8.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [99] 67.7% location-do [86] 32.3% ------------------------------------------------------------------------- match-e [74] 100.0% [87] 6056(6.1%) 2544(2.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [100] 35.5% list-cartesian-product [102] 11.9% loop [138] 7.3% foldl [151] 3.3% ------------------------------------------------------------------------- for-loop [107] 4.2% for-loop [79] 24.0% apply-match [61] 71.8% [88] 2620(2.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [101] 29.0% update-leader! [103] 25.5% enode-merge! [105] 17.3% for-loop [106] 16.2% for-loop [109] 7.7% for-loop [107] 4.2% ------------------------------------------------------------------------- atab-add-altn [77] 100.0% [89] 1188(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [129] 100.0% ------------------------------------------------------------------------- apply-match [61] 40.5% substitute-e [80] 59.5% [90] 1042(1.0%) 640(0.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [110] 19.4% hash-has-key? [111] 19.2% ------------------------------------------------------------------------- for-loop [78] 100.0% [91] 676(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [104] 100.0% ------------------------------------------------------------------------- add-splitpoint [81] 100.0% [92] 222(0.2%) 222(0.2%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 ------------------------------------------------------------------------- ??? [82] 100.0% [93] 220(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [108] 100.0% ------------------------------------------------------------------------- for-loop [78] 100.0% [94] 204(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [117] 100.0% ------------------------------------------------------------------------- rewriter [83] 100.0% [95] 200(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [112] 100.0% ------------------------------------------------------------------------- loop [84] 38.8% loop [72] 61.2% [96] 24728(24.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [138] 41.7% map [134] 39.0% eval-prog [133] 19.3% ------------------------------------------------------------------------- loop [72] 36.0% loop [84] 64.0% [97] 11004(11.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [134] 100.0% ------------------------------------------------------------------------- sort [73] 38.0% copying-mergesort [85] 62.0% [98] 9430(9.5%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [113] 100.0% ------------------------------------------------------------------------- location-do [86] 100.0% [99] 8396(8.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [114] 82.8% f37 [127] 10.1% taylor-quotient [123] 4.8% taylor-sqrt [116] 2.4% ------------------------------------------------------------------------- match-e [74] 39.3% for-loop [87] 60.7% [100] 3704(3.7%) 402(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [74] 60.4% ??? [115] 28.8% ------------------------------------------------------------------------- merge-egraph-nodes! [88] 30.9% apply-match [61] 32.6% loop [138] 36.5% [101] 1294(1.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [138] 52.0% update-en-expr [121] 17.5% custom-set-union [125] 17.2% set [119] 13.4% ------------------------------------------------------------------------- match-e [74] 9.8% list-cartesian-product [102] 29.4% for-loop [87] 60.9% [102] 1022(1.0%) 800(0.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [102] 29.4% for-loop [124] 21.7% ------------------------------------------------------------------------- apply-match [61] 23.0% merge-egraph-nodes! [88] 77.0% [103] 868(0.9%) 204(0.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [118] 76.5% ------------------------------------------------------------------------- for-loop [91] 100.0% [104] 676(0.7%) 0(0.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [117] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [105] 454(0.5%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [120] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [106] 424(0.4%) 424(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [107] 222(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [88] 100.0% ------------------------------------------------------------------------- best-alt [93] 100.0% [108] 220(0.2%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [122] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [88] 100.0% [109] 202(0.2%) 202(0.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ------------------------------------------------------------------------- mk-enode! [90] 100.0% [110] 202(0.2%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [119] 100.0% ------------------------------------------------------------------------- mk-enode! [90] 100.0% [111] 200(0.2%) 200(0.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ------------------------------------------------------------------------- for-loop [126] 20.0% matcher [112] 30.0% for-loop [95] 50.0% [112] 200(0.2%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [83] 50.0% matcher [112] 30.0% for-loop [126] 20.0% ------------------------------------------------------------------------- jloop [5] 39.7% loop [98] 60.3% [113] 15634(15.7%) 220(0.2%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [133] 92.8% ??? [147] 5.8% ------------------------------------------------------------------------- approximate9 [99] 100.0% [114] 6948(7.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [146] 100.0% ------------------------------------------------------------------------- for-loop [100] 100.0% [115] 1066(1.1%) 422(0.4%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [131] 60.4% ------------------------------------------------------------------------- approximate9 [99] 19.5% f37 [127] 19.7% map [134] 21.4% ??? [139] 39.4% [116] 1026(1.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [128] 80.3% hash-ref! [146] 19.7% ------------------------------------------------------------------------- for-loop [94] 23.2% loop [104] 76.8% [117] 880(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [133] 100.0% ------------------------------------------------------------------------- update-leader! [103] 100.0% [118] 664(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [130] 100.0% ------------------------------------------------------------------------- new-enode [110] 32.5% loop! [101] 67.5% [119] 622(0.6%) 622(0.6%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------- enode-merge! [105] 100.0% [120] 454(0.5%) 454(0.5%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ------------------------------------------------------------------------- loop! [101] 100.0% [121] 452(0.5%) 452(0.5%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------- f37 [127] 47.6% argmins [108] 52.4% [122] 420(0.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [129] 52.4% f37 [127] 47.6% ------------------------------------------------------------------------- approximate9 [99] 100.0% [123] 402(0.4%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [128] 50.2% simplify [28] 49.8% ------------------------------------------------------------------------- list-cartesian-product [102] 100.0% [124] 222(0.2%) 222(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------- loop! [101] 100.0% [125] 222(0.2%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [132] 100.0% ------------------------------------------------------------------------- matcher [112] 100.0% [126] 200(0.2%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [112] 100.0% ------------------------------------------------------------------------- composed [122] 0.3% parse-loop50 [157] 0.7% ??? [139] 1.1% append-map [50] 2.3% hash-ref! [146] 3.8% loop [138] 4.6% approximate9 [99] 7.2% f37 [127] 10.1% map [134] 28.5% simplify [28] 41.2% [127] 6728(6.8%) 1286(1.3%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [134] 72.6% f37 [127] 10.1% append-map [50] 2.6% taylor-invert [12] 2.6% gather-multiplicative-terms [143] 2.4% taylor [142] 1.5% composed [122] 0.3% taylor-sqrt [116] 0.3% ------------------------------------------------------------------------- taylor-quotient [123] 13.8% taylor-invert [12] 30.0% taylor-sqrt [116] 56.2% [128] 1466(1.5%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [146] 86.2% ??? [29] 13.8% ------------------------------------------------------------------------- composed [122] 15.6% best-and-tied-at-points [89] 84.4% [129] 1408(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [133] 51.6% for-loop [135] 48.4% ------------------------------------------------------------------------- for-loop [118] 100.0% [130] 664(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [136] 100.0% ------------------------------------------------------------------------- ??? [115] 100.0% [131] 644(0.6%) 644(0.6%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------- custom-set-union [125] 100.0% [132] 222(0.2%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [137] 100.0% ------------------------------------------------------------------------- errors [129] 2.2% ??? [117] 2.6% for-loop [76] 4.8% make-exacts* [96] 14.2% loop [84] 33.1% ??? [113] 43.1% [133] 33666(33.9%) 7022(7.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [146] 74.4% ??? [140] 2.7% inductor [144] 0.7% go [145] 0.6% ------------------------------------------------------------------------- gather-multiplicative-terms [143] 0.4% ??? [139] 0.9% parse-loop50 [157] 1.1% f37 [127] 20.6% make-exacts* [96] 35.9% loop [97] 41.1% [134] 26802(27.0%) 622(0.6%) map ...acket/collects/racket/private/map.rkt:21:13 loop [138] 77.4% f37 [127] 9.5% parse-loop50 [157] 7.9% ??? [139] 2.0% ->flonum [160] 0.9% taylor [142] 0.4% taylor-sqrt [116] 0.4% gather-multiplicative-terms [143] 0.4% ------------------------------------------------------------------------- errors [129] 100.0% [135] 682(0.7%) 242(0.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [147] 64.5% ------------------------------------------------------------------------- for-loop [130] 100.0% [136] 664(0.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [141] 100.0% ------------------------------------------------------------------------- for-loop [132] 100.0% [137] 222(0.2%) 222(0.2%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------- get-final-combination [15] 0.2% make-exacts* [96] 0.2% loop! [101] 0.4% post-process [27] 0.6% for-loop [87] 0.7% map [134] 0.7% extract-alt [30] 1.1% parse-loop50 [157] 1.4% infer-splitpoints4 [36] 1.5% match-e [74] 1.7% append-map [50] 2.8% ??? [3] 32.5% loop [138] 56.2% [138] 62996(63.4%) 824(0.8%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [138] 56.2% hash-ref! [146] 32.5% taylor-alt [60] 2.8% option-on-expr [47] 1.5% simplify [4] 1.1% f37 [127] 1.0% ??? [147] 0.7% foldl [151] 0.7% completely-simplify-alt [10] 0.6% parse-loop50 [157] 0.5% curried [152] 0.4% loop! [101] 0.2% extract-alt [30] 0.2% ??? [139] 0.1% for-loop [153] 0.1% localize-error [41] 0.0% ??? [174] 0.0% ->flonum [160] 0.0% ------------------------------------------------------------------------- loop [138] 42.3% map [134] 57.7% [139] 1084(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor-sqrt [116] 37.3% map [134] 22.1% f37 [127] 20.5% hash-ref! [146] 20.1% ------------------------------------------------------------------------- eval-prog [133] 100.0% [140] 914(0.9%) 228(0.2%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [149] 75.1% ------------------------------------------------------------------------- hash-update! [136] 100.0% [141] 664(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [150] 100.0% ------------------------------------------------------------------------- f37 [127] 47.6% map [134] 52.4% [142] 420(0.4%) 220(0.2%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [148] 47.6% ------------------------------------------------------------------------- map [134] 26.2% f37 [127] 73.8% [143] 420(0.4%) 200(0.2%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [134] 26.2% curried [152] 26.2% ------------------------------------------------------------------------- eval-prog [133] 16.7% inductor [144] 83.3% [144] 238(0.2%) 238(0.2%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [144] 83.3% ------------------------------------------------------------------------- eval-prog [133] 100.0% [145] 200(0.2%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [154] 100.0% ------------------------------------------------------------------------- for-loop [65] 0.1% ??? [161] 0.2% taylor-sqrt [116] 0.3% ??? [139] 0.3% for-loop [31] 0.3% ??? [6] 0.7% localize-error [41] 1.0% for-loop [21] 1.4% for-loop [19] 1.6% first-nonzero-exp [128] 1.6% ??? [158] 3.1% loop [114] 4.1% for-loop [20] 4.1% ??? [29] 6.1% eval-prog [133] 34.1% loop [138] 40.7% [146] 33486(33.7%) 220(0.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 40.7% bigfloat-hash [156] 34.1% ??? [7] 6.0% ??? [8] 4.2% simplify [28] 3.9% ??? [6] 3.2% ??? [158] 3.1% ??? [9] 1.5% parse-loop50 [157] 1.4% f37 [127] 0.8% ??? [11] 0.3% ??? [161] 0.3% ------------------------------------------------------------------------- for-loop [135] 1.4% ??? [113] 2.8% loop [138] 95.8% [147] 31804(32.0%) 448(0.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [155] 87.4% real->bigfloat [159] 7.6% ??? [179] 1.4% ->flonum [160] 0.7% ------------------------------------------------------------------------- taylor [142] 23.8% simplify [28] 76.2% [148] 842(0.8%) 420(0.4%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [162] 50.1% ------------------------------------------------------------------------- ??? [140] 100.0% [149] 686(0.7%) 686(0.7%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------- ??? [141] 100.0% [150] 664(0.7%) 664(0.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------------- for-loop [87] 30.2% loop [138] 69.8% [151] 662(0.7%) 442(0.4%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [163] 33.2% ------------------------------------------------------------------------- gather-multiplicative-terms [143] 49.5% loop [138] 50.5% [152] 444(0.4%) 444(0.4%) curried ...cket/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------- loop [138] 100.0% [153] 404(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [164] 50.0% setfindf [165] 50.0% ------------------------------------------------------------------------- go [145] 5.6% loop [154] 94.4% [154] 200(0.2%) 200(0.2%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [154] 94.4% ------------------------------------------------------------------------- ??? [147] 100.0% [155] 27788(28.0%) 1330(1.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [174] 56.7% bf* [167] 23.2% ...higher-order.rkt:373:33 [168] 12.7% ...higher-order.rkt:369:33 [170] 1.8% bf<= [171] 0.8% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [156] 25054(25.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [166] 91.1% sig+exp->bigfloat [169] 8.9% ------------------------------------------------------------------------- loop [138] 2.0% simplify [28] 9.7% hash-ref! [146] 9.8% parse-loop50 [157] 18.3% map [134] 60.2% [157] 4694(4.7%) 3174(3.2%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [138] 21.4% parse-loop50 [157] 18.3% map [134] 10.0% f37 [127] 4.3% ??? [172] 2.2% parse-app [173] 0.9% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [158] 3534(3.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [146] 100.0% ------------------------------------------------------------------------- ??? [147] 100.0% [159] 2422(2.4%) 2208(2.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [183] 8.8% ------------------------------------------------------------------------- ??? [147] 23.1% map [134] 25.2% loop [138] 51.8% [160] 954(1.0%) 708(0.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [182] 25.8% ------------------------------------------------------------------------- hash-ref! [146] 100.0% [161] 604(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [146] 66.9% ??? [29] 33.1% ------------------------------------------------------------------------- debug-print [148] 100.0% [162] 422(0.4%) 422(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------- foldl [151] 100.0% [163] 220(0.2%) 220(0.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------- for-loop [153] 100.0% [164] 202(0.2%) 202(0.2%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ------------------------------------------------------------------------- for-loop [153] 100.0% [165] 202(0.2%) 202(0.2%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------- bigfloat-hash [156] 100.0% [166] 22824(23.0%) 22824(23.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------- ??? [155] 100.0% [167] 6446(6.5%) 258(0.3%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [174] 96.0% ------------------------------------------------------------------------- ??? [155] 100.0% [168] 3520(3.5%) 238(0.2%) ...higher-order.rkt:373:33 (unknown source) ??? [175] 55.2% ??? [179] 38.1% ------------------------------------------------------------------------- bigfloat-hash [156] 100.0% [169] 2230(2.2%) 2230(2.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------- ??? [155] 100.0% [170] 504(0.5%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [179] 100.0% ------------------------------------------------------------------------- ??? [155] 100.0% [171] 228(0.2%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [182] 100.0% ------------------------------------------------------------------------- parse-loop50 [157] 100.0% [172] 202(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [176] 100.0% ------------------------------------------------------------------------- parse-loop50 [157] 100.0% [173] 200(0.2%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [177] 100.0% ------------------------------------------------------------------------- loop [138] 1.0% bf* [167] 27.9% ??? [155] 71.1% [174] 22166(22.3%) 3198(3.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [178] 56.2% ??? [182] 18.5% bfsqr [180] 10.9% ------------------------------------------------------------------------- ...higher-order.rkt:373:33 [168] 100.0% [175] 1942(2.0%) 232(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [179] 88.1% ------------------------------------------------------------------------- ??? [172] 100.0% [176] 202(0.2%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [181] 100.0% ------------------------------------------------------------------------- parse-app [173] 100.0% [177] 200(0.2%) 200(0.2%) loop .../collects/racket/private/stxcase.rkt:112:7 ------------------------------------------------------------------------- ??? [174] 100.0% [178] 12456(12.5%) 7598(7.6%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [183] 39.0% ------------------------------------------------------------------------- ??? [147] 11.2% ...higher-order.rkt:369:33 [170] 12.6% ...higher-order.rkt:373:33 [168] 33.5% ??? [175] 42.8% [179] 4000(4.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [182] 100.0% ------------------------------------------------------------------------- ??? [174] 100.0% [180] 2422(2.4%) 1954(2.0%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [183] 19.3% ------------------------------------------------------------------------- for-loop [176] 100.0% [181] 202(0.2%) 202(0.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------------- bf<= [171] 2.7% ->flonum [160] 2.9% ??? [179] 46.7% ??? [174] 47.8% [182] 8564(8.6%) 2470(2.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [184] 65.5% ??? [185] 5.6% ------------------------------------------------------------------------- real->bigfloat [159] 3.9% bfsqr [180] 8.4% bfsub [178] 87.7% [183] 5540(5.6%) 5540(5.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------- ??? [182] 100.0% [184] 5612(5.6%) 966(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [186] 82.8% ------------------------------------------------------------------------- ??? [182] 100.0% [185] 482(0.5%) 264(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [187] 45.2% ------------------------------------------------------------------------- ??? [184] 100.0% [186] 4646(4.7%) 4646(4.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------- ??? [185] 100.0% [187] 218(0.2%) 218(0.2%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -------------------------------------------------------------------------