Profiling results ----------------- Total cpu time observed: 87768ms (out of 89304ms) Number of samples taken: 385 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 8 of 194 hidden) =============================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =============================================================================== ??? [54] 100.0% [1] 80592(91.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [15] 100.0% ------------------------------------------------------------------------------- ??? [54] 100.0% [2] 64286(73.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [16] 44.5% for-loop [17] 29.7% get-final-combination [18] 25.5% loop [66] 0.3% ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [3] 19234(21.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [139] 51.3% ??? [32] 48.7% ------------------------------------------------------------------------------- loop [127] 3.7% ??? [54] 96.3% [4] 16872(19.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [20] 63.9% for-loop [22] 26.3% iterate-egraph!5 [29] 9.8% ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [5] 14096(16.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [19] 100.0% ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [6] 7990(9.1%) 200(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [21] 98.7% ------------------------------------------------------------------------------- copying-mergesort [82] 100.0% [7] 3520(4.0%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [110] 100.0% ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [8] 3132(3.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [23] 100.0% ------------------------------------------------------------------------------- loop [127] 100.0% [9] 3046(3.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [20] 100.0% ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [10] 2908(3.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [24] 100.0% ------------------------------------------------------------------------------- ??? [129] 14.4% f94 [117] 85.6% [11] 2882(3.3%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [25] 78.0% simplify [28] 22.0% ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [12] 2714(3.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [26] 50.5% hash-ref! [139] 49.5% ------------------------------------------------------------------------------- post-process [27] 33.4% loop [127] 66.6% [13] 658(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- f94 [117] 100.0% [14] 396(0.5%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [28] 50.5% first-nonzero-exp [25] 49.5% ------------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [15] 80592(91.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [54] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 28598(32.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [27] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 19068(21.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [30] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 100.0% [18] 16420(18.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [31] 95.0% extract-alt [34] 5.0% ------------------------------------------------------------------------------- ??? [5] 100.0% [19] 14096(16.1%) 204(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [32] 54.2% hash-ref! [139] 31.8% simplify [28] 13.3% ------------------------------------------------------------------------------- completely-simplify-alt [9] 22.0% simplify [4] 78.0% [20] 13830(15.8%) 198(0.2%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [29] 97.2% loop [35] 1.4% ------------------------------------------------------------------------------- ??? [6] 100.0% [21] 7990(9.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- simplify [4] 100.0% [22] 4438(5.1%) 236(0.3%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [29] 94.7% ------------------------------------------------------------------------------- ??? [8] 100.0% [23] 3132(3.6%) 200(0.2%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [139] 80.8% simplify [28] 6.4% ??? [129] 6.4% ------------------------------------------------------------------------------- ??? [10] 100.0% [24] 2908(3.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [33] 100.0% ------------------------------------------------------------------------------- taylor-sqrt [14] 8.0% taylor-invert [11] 92.0% [25] 2444(2.8%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- ??? [12] 100.0% [26] 1474(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- finalize-table! [16] 100.0% [27] 28598(32.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [36] 84.9% loop [127] 12.2% ??? [49] 2.1% localize-error [13] 0.8% ------------------------------------------------------------------------------- taylor-sqrt [14] 0.9% for-loop [23] 0.9% loop [127] 2.8% taylor-invert [11] 2.8% for-loop [19] 15.9% hash-ref! [139] 74.8% [28] 22506(25.6%) 414(0.5%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [117] 72.2% parse-loop50 [56] 7.5% debug-print [162] 7.4% debug7 [163] 6.4% simplify-node [40] 4.7% ------------------------------------------------------------------------------- simplify [4] 8.6% for-loop [22] 21.8% simplify-expr [20] 69.7% [29] 19288(22.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [37] 100.0% ------------------------------------------------------------------------------- for-loop [17] 100.0% [30] 19068(21.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [38] 85.2% gen-series! [41] 7.9% finalize-iter! [42] 5.7% choose-best-alt! [43] 1.1% ------------------------------------------------------------------------------- get-final-combination [18] 100.0% [31] 15596(17.8%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [39] 71.4% ??? [49] 28.6% ------------------------------------------------------------------------------- ??? [3] 30.0% for-loop [19] 70.0% [32] 11634(13.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- for-loop [24] 100.0% [33] 2908(3.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- get-final-combination [18] 100.0% [34] 824(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [127] 75.7% argmins [105] 24.3% ------------------------------------------------------------------------------- simplify-expr [20] 100.0% [35] 196(0.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [44] 100.0% ------------------------------------------------------------------------------- post-process [27] 100.0% [36] 24294(27.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [45] 100.0% ------------------------------------------------------------------------------- iterate-egraph!5 [29] 100.0% [37] 19288(22.0%) 716(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [47] 65.7% loop [50] 26.3% apply-match [58] 4.2% ------------------------------------------------------------------------------- run-iter! [30] 100.0% [38] 16248(18.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [46] 100.0% ------------------------------------------------------------------------------- split-table [31] 100.0% [39] 11134(12.7%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [48] 74.8% loop [127] 25.2% ------------------------------------------------------------------------------- parse-loop50 [56] 1.2% simplify [28] 13.0% map [121] 85.7% [40] 8080(9.2%) 202(0.2%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 f94 [117] 37.9% append-map [45] 37.3% combine-aterms [51] 23.6% ------------------------------------------------------------------------------- run-iter! [30] 100.0% [41] 1508(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [52] 100.0% ------------------------------------------------------------------------------- run-iter! [30] 100.0% [42] 1094(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [49] 100.0% ------------------------------------------------------------------------------- run-iter! [30] 100.0% [43] 218(0.2%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [49] 100.0% ------------------------------------------------------------------------------- loop [35] 100.0% [44] 196(0.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [53] 100.0% ------------------------------------------------------------------------------- append-map [45] 4.5% simplify-node [40] 4.5% f94 [117] 13.7% for-loop [36] 77.3% [45] 24494(27.9%) 1680(1.9%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [55] 53.4% loop [127] 24.0% f94 [117] 9.3% parse-loop50 [56] 5.7% append-map [45] 4.5% free-variables [134] 0.1% ------------------------------------------------------------------------------- simplify! [38] 100.0% [46] 16248(18.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [54] 100.0% ------------------------------------------------------------------------------- for-loop [47] 49.2% one-iter [37] 50.8% [47] 12680(14.4%) 4686(5.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [47] 49.2% match-e [67] 30.7% ------------------------------------------------------------------------------- loop [127] 25.2% infer-splitpoints4 [39] 74.8% [48] 11134(12.7%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [57] 81.4% pick-errors [62] 12.7% loop [127] 4.1% errors [101] 1.8% ------------------------------------------------------------------------------- choose-best-alt! [43] 3.1% debug7 [163] 8.6% post-process [27] 8.6% finalize-iter! [42] 15.7% split-table [31] 64.0% [49] 6974(7.9%) 600(0.7%) ??? ...contract/private/arrow-val-first.rkt:357:18 split-atab [59] 64.0% for-loop [61] 24.3% atab-pick-alt8 [63] 3.1% ------------------------------------------------------------------------------- one-iter [37] 100.0% [50] 5076(5.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [58] 100.0% ------------------------------------------------------------------------------- simplify-node [40] 100.0% [51] 1906(2.2%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [60] 100.0% ------------------------------------------------------------------------------- gen-series! [41] 100.0% [52] 1508(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [55] 100.0% ------------------------------------------------------------------------------- pass [44] 100.0% [53] 196(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [64] 100.0% ------------------------------------------------------------------------------- for-loop [46] 7.0% run [15] 45.6% [54] 83322(94.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.6% run-improve58 [2] 36.0% loop [66] 11.4% simplify [4] 7.0% ------------------------------------------------------------------------------- for-loop [52] 5.8% loop [127] 39.8% append-map [45] 54.4% [55] 25802(29.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [65] 100.0% ------------------------------------------------------------------------------- loop [127] 0.8% make-addition-node [135] 2.3% f94 [117] 5.4% hash-ref! [139] 7.0% parse-loop50 [56] 14.0% simplify [28] 15.0% map [121] 18.9% append-map [45] 36.6% [56] 9400(10.7%) 3118(3.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 make-multiplication-node [128] 16.9% parse-loop50 [56] 14.0% for-loop [70] 10.9% loop [127] 10.0% f94 [117] 8.6% parse-app [75] 2.3% make-addition-node [135] 2.3% foldr [77] 2.1% for-loop [78] 2.1% map [121] 1.1% simplify-node [40] 0.5% ------------------------------------------------------------------------------- option-on-expr [48] 100.0% [57] 9062(10.3%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [68] 100.0% ------------------------------------------------------------------------------- one-iter [37] 13.8% loop [50] 86.2% [58] 5892(6.7%) 200(0.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [85] 38.9% match-e [67] 21.6% loop! [142] 14.9% for-loop [73] 10.9% mk-enode! [74] 7.1% substitute-e [79] 3.3% ------------------------------------------------------------------------------- ??? [49] 100.0% [59] 4462(5.1%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [69] 100.0% ------------------------------------------------------------------------------- combine-aterms [51] 100.0% [60] 1906(2.2%) 200(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 hash-ref! [139] 89.5% ------------------------------------------------------------------------------- ??? [49] 100.0% [61] 1694(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [71] 100.0% ------------------------------------------------------------------------------- option-on-expr [48] 100.0% [62] 1410(1.6%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [72] 100.0% ------------------------------------------------------------------------------- ??? [49] 100.0% [63] 218(0.2%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [76] 100.0% ------------------------------------------------------------------------------- for-loop [53] 100.0% [64] 196(0.2%) 196(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------------- taylor-alt [55] 100.0% [65] 25802(29.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [80] 100.0% ------------------------------------------------------------------------------- run-improve58 [2] 1.0% ??? [54] 99.0% [66] 19236(21.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [81] 51.0% make-exacts* [96] 43.3% loop [97] 5.7% ------------------------------------------------------------------------------- apply-match [58] 7.3% for-loop [100] 14.6% for-loop [47] 78.1% [67] 9068(10.3%) 5422(6.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [83] 32.5% for-loop [100] 5.4% custom-in-set [89] 3.3% list-cartesian-product [103] 2.4% loop [127] 2.2% filter [93] 2.2% curry* [91] 1.2% ------------------------------------------------------------------------------- sort-context-on-expr [57] 100.0% [68] 9062(10.3%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [82] 69.6% loop [98] 30.4% ------------------------------------------------------------------------------- split-atab [59] 100.0% [69] 4462(5.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [84] 70.9% for-loop [87] 19.4% for-loop [88] 9.7% ------------------------------------------------------------------------------- parse-loop50 [56] 100.0% [70] 1846(2.1%) 198(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 f94 [117] 67.6% make-multiplication-node [128] 21.7% ------------------------------------------------------------------------------- for-loop [61] 100.0% [71] 1694(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [86] 74.3% override-at-pnts [90] 14.2% loop [94] 11.6% ------------------------------------------------------------------------------- pick-errors [62] 100.0% [72] 1410(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [118] 100.0% ------------------------------------------------------------------------------- apply-match [58] 100.0% [73] 640(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [142] 68.8% merge-egraph-nodes! [85] 31.2% ------------------------------------------------------------------------------- apply-match [58] 100.0% [74] 416(0.5%) 416(0.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------------- parse-loop50 [56] 100.0% [75] 220(0.3%) 220(0.3%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------------- atab-pick-alt8 [63] 100.0% [76] 218(0.2%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [92] 100.0% ------------------------------------------------------------------------------- parse-loop50 [56] 100.0% [77] 200(0.2%) 200(0.2%) foldr ...et/collects/racket/private/list.rkt:242:4 ------------------------------------------------------------------------------- parse-loop50 [56] 100.0% [78] 198(0.2%) 198(0.2%) for-loop ...tlock/herbie/src/core/reduce.rkt:80:11 ------------------------------------------------------------------------------- apply-match [58] 100.0% [79] 196(0.2%) 196(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 ------------------------------------------------------------------------------- location-do [80] 28.3% for-loop [65] 71.7% [80] 25802(29.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [95] 71.7% location-do [80] 28.3% ------------------------------------------------------------------------------- loop [66] 100.0% [81] 9802(11.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [97] 58.1% make-exacts* [96] 39.5% eval-prog [118] 2.4% ------------------------------------------------------------------------------- sort [68] 40.7% copying-mergesort [82] 59.3% [82] 6306(7.2%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [82] 59.3% loop [98] 26.7% jloop [7] 14.0% ------------------------------------------------------------------------------- match-e [67] 100.0% [83] 3886(4.4%) 1014(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [100] 50.8% list-cartesian-product [103] 18.0% loop [127] 5.1% ------------------------------------------------------------------------------- for-loop [69] 100.0% [84] 3162(3.6%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [99] 100.0% ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 4.0% for-loop [73] 8.0% apply-match [58] 88.0% [85] 2490(2.8%) 198(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [102] 42.2% enode-merge! [104] 24.8% loop! [142] 12.9% for-loop [107] 8.0% merge-egraph-nodes! [85] 4.0% ------------------------------------------------------------------------------- atab-add-altn [71] 100.0% [86] 1258(1.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [101] 100.0% ------------------------------------------------------------------------------- for-loop [69] 100.0% [87] 866(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:76:45 ??? [111] 100.0% ------------------------------------------------------------------------------- for-loop [69] 100.0% [88] 434(0.5%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:86:30 ??? [111] 100.0% ------------------------------------------------------------------------------- match-e [67] 100.0% [89] 400(0.5%) 400(0.5%) custom-in-set ...acket/private/set-types.rkt:578:0 ------------------------------------------------------------------------------- atab-add-altn [71] 100.0% [90] 240(0.3%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [101] 100.0% ------------------------------------------------------------------------------- match-e [67] 100.0% [91] 220(0.3%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [106] 100.0% ------------------------------------------------------------------------------- ??? [76] 100.0% [92] 218(0.2%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [105] 100.0% ------------------------------------------------------------------------------- match-e [67] 100.0% [93] 198(0.2%) 198(0.2%) filter ...t/collects/racket/private/list.rkt:256:2 ------------------------------------------------------------------------------- atab-add-altn [71] 100.0% [94] 196(0.2%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [108] 100.0% ------------------------------------------------------------------------------- location-do [80] 100.0% [95] 25802(29.4%) 222(0.3%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [109] 90.4% f94 [117] 4.7% for-loop [113] 3.2% taylor [152] 0.8% ------------------------------------------------------------------------------- loop [81] 31.7% loop [66] 68.3% [96] 12206(13.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [127] 51.4% map [121] 44.7% eval-prog [118] 3.9% ------------------------------------------------------------------------------- loop [66] 16.2% loop [81] 83.8% [97] 6798(7.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [121] 100.0% ------------------------------------------------------------------------------- sort [68] 49.7% copying-mergesort [82] 50.3% [98] 5542(6.3%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [110] 100.0% ------------------------------------------------------------------------------- for-loop [84] 100.0% [99] 3162(3.6%) 0(0.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [111] 100.0% ------------------------------------------------------------------------------- match-e [67] 27.3% for-loop [83] 72.7% [100] 2692(3.1%) 200(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [67] 92.6% ------------------------------------------------------------------------------- option-on-expr [48] 8.7% loop [127] 9.3% override-at-pnts [90] 10.3% composed [122] 17.9% best-and-tied-at-points [86] 53.8% [101] 2338(2.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [112] 72.7% eval-prog [118] 27.3% ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [102] 1052(1.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [114] 77.6% hash-ref! [139] 22.4% ------------------------------------------------------------------------------- list-cartesian-product [103] 19.7% match-e [67] 21.5% for-loop [83] 58.9% [103] 1016(1.2%) 1016(1.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [103] 19.7% ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [104] 618(0.7%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [115] 67.6% custom-set-intersect! [116] 32.4% ------------------------------------------------------------------------------- extract-alt [34] 47.8% best-alt [92] 52.2% [105] 418(0.5%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [122] 100.0% ------------------------------------------------------------------------------- curry* [91] 100.0% [106] 220(0.3%) 220(0.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 100.0% [107] 200(0.2%) 200(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ------------------------------------------------------------------------------- loop [94] 20.0% loop [108] 80.0% [108] 196(0.2%) 196(0.2%) loop ...are/racket/collects/racket/list.rkt:431:28 loop [108] 80.0% ------------------------------------------------------------------------------- approximate9 [95] 100.0% [109] 23330(26.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- jloop [7] 38.8% loop [98] 61.2% [110] 9062(10.3%) 644(0.7%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [118] 92.9% ------------------------------------------------------------------------------- for-loop [88] 9.7% for-loop [87] 19.4% loop [99] 70.9% [111] 4462(5.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [118] 100.0% ------------------------------------------------------------------------------- errors [101] 100.0% [112] 1700(1.9%) 642(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [140] 37.5% ->flonum [153] 12.8% ??? [120] 11.9% ------------------------------------------------------------------------------- approximate9 [95] 100.0% [113] 834(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f94 [117] 100.0% ------------------------------------------------------------------------------- update-leader! [102] 100.0% [114] 816(0.9%) 202(0.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [119] 75.2% ------------------------------------------------------------------------------- enode-merge! [104] 100.0% [115] 418(0.5%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [158] 100.0% ------------------------------------------------------------------------------- enode-merge! [104] 100.0% [116] 200(0.2%) 200(0.2%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ------------------------------------------------------------------------------- for-loop [70] 0.5% loop [127] 0.5% for-loop [113] 0.9% ??? [129] 0.9% composed [122] 0.9% approximate9 [95] 1.3% simplify-node [40] 1.7% parse-loop50 [56] 1.9% hash-ref! [139] 4.5% append-map [45] 5.7% f94 [117] 13.5% simplify [28] 17.0% map [121] 50.5% [117] 20768(23.7%) 2854(3.3%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [121] 65.7% f94 [117] 13.5% append-map [45] 7.6% taylor-invert [11] 2.3% gather-multiplicative-terms [130] 2.0% taylor [152] 1.6% combine-mterms [123] 1.3% composed [122] 1.2% taylor-sqrt [14] 0.4% parse-loop50 [56] 0.4% loop [127] 0.2% ------------------------------------------------------------------------------- loop [81] 1.5% make-exacts* [96] 3.0% errors [101] 4.1% for-loop [72] 9.0% ??? [111] 28.5% ??? [110] 53.8% [118] 15634(17.8%) 12272(14.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [139] 8.7% ??? [124] 6.9% go [125] 4.5% ------------------------------------------------------------------------------- for-loop [114] 100.0% [119] 614(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [126] 100.0% ------------------------------------------------------------------------------- for-loop [112] 100.0% [120] 202(0.2%) 202(0.2%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------------------- parse-loop50 [56] 0.1% ??? [129] 0.7% gather-multiplicative-terms [130] 0.7% make-exacts* [96] 17.3% loop [97] 21.5% f94 [117] 59.7% [121] 31596(36.0%) 416(0.5%) map ...acket/collects/racket/private/map.rkt:21:13 f94 [117] 46.2% loop [127] 38.7% parse-loop50 [56] 3.8% simplify-node [40] 3.7% ??? [129] 2.7% make-multiplication-node [128] 1.5% ??? [140] 0.8% gather-multiplicative-terms [130] 0.7% ->flonum [153] 0.7% ??? [132] 0.4% taylor [152] 0.3% make-addition-node [135] 0.2% ------------------------------------------------------------------------------- argmins [105] 15.3% f94 [117] 84.7% [122] 2738(3.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f94 [117] 69.4% errors [101] 15.3% free-variables [134] 8.0% loop [138] 7.3% ------------------------------------------------------------------------------- f94 [117] 100.0% [123] 1276(1.5%) 1036(1.2%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 for-loop [136] 18.8% ------------------------------------------------------------------------------- eval-prog [118] 100.0% [124] 1084(1.2%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [131] 100.0% ------------------------------------------------------------------------------- eval-prog [118] 100.0% [125] 696(0.8%) 460(0.5%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [137] 33.9% ------------------------------------------------------------------------------- for-loop [119] 100.0% [126] 614(0.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [133] 100.0% ------------------------------------------------------------------------------- make-exacts* [96] 0.2% option-on-expr [48] 0.4% for-loop [83] 0.5% f94 [117] 0.6% ??? [140] 0.6% parse-loop50 [56] 0.7% map [121] 0.8% extract-alt [34] 0.9% loop! [142] 1.0% match-e [67] 1.0% taylor [152] 1.0% post-process [27] 1.2% ??? [155] 2.8% infer-splitpoints4 [39] 6.4% append-map [45] 26.1% loop [127] 55.8% [127] 39314(44.8%) 1136(1.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [127] 55.8% taylor-alt [55] 26.1% option-on-expr [48] 6.4% hash-ref! [139] 2.6% simplify [28] 1.6% completely-simplify-alt [9] 1.2% loop! [142] 1.0% simplify [4] 0.9% ??? [140] 0.8% parse-loop50 [56] 0.3% f94 [117] 0.3% errors [101] 0.1% ??? [129] 0.1% ...ow-val-first.rkt:357:18 [145] 0.1% ->flonum [153] 0.1% localize-error [13] 0.0% real->bigfloat [151] 0.0% ...higher-order.rkt:373:33 [161] 0.0% ??? [180] 0.0% ------------------------------------------------------------------------------- for-loop [70] 13.7% map [121] 28.6% parse-loop50 [56] 57.8% [128] 2928(3.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [141] 100.0% ------------------------------------------------------------------------------- for-loop [23] 9.7% loop [127] 21.1% map [121] 69.2% [129] 2072(2.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f94 [117] 38.5% taylor-invert [11] 20.1% taylor [152] 10.6% hash-ref! [139] 10.6% map [121] 10.5% curried [147] 9.7% ------------------------------------------------------------------------------- gather-multiplicative-terms [130] 5.2% map [121] 13.5% f94 [117] 81.3% [130] 1906(2.2%) 1686(1.9%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [121] 19.2% gather-multiplicative-terms [130] 5.2% ------------------------------------------------------------------------------- ??? [124] 100.0% [131] 1084(1.2%) 1084(1.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------------- map [121] 100.0% [132] 668(0.8%) 232(0.3%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [144] 35.3% pattern-match [146] 29.9% ------------------------------------------------------------------------------- hash-update! [126] 100.0% [133] 614(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [143] 100.0% ------------------------------------------------------------------------------- append-map [45] 47.6% composed [122] 52.4% [134] 420(0.5%) 420(0.5%) free-variables ...ock/herbie/src/programs.rkt:89:0 ------------------------------------------------------------------------------- parse-loop50 [56] 44.7% map [121] 55.3% [135] 414(0.5%) 216(0.2%) make-addition-node ...ie/src/core/reduce.rkt:199:0 partition [148] 47.8% parse-loop50 [56] 44.7% ------------------------------------------------------------------------------- combine-mterms [123] 100.0% [136] 240(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:186:5 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- go [125] 16.7% loop [137] 83.3% [137] 236(0.3%) 236(0.3%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [137] 83.3% ------------------------------------------------------------------------------- loop [138] 50.0% composed [122] 50.0% [138] 200(0.2%) 200(0.2%) loop ...are/racket/collects/racket/list.rkt:414:34 loop [138] 50.0% ------------------------------------------------------------------------------- for-loop [136] 0.2% ??? [129] 0.4% ??? [12] 0.6% for-loop [26] 0.7% for-loop [60] 0.9% update-leader! [102] 0.9% for-loop [33] 1.0% for-loop [23] 1.1% first-nonzero-exp [25] 1.3% eval-prog [118] 2.0% localize-error [13] 2.1% loop [127] 3.4% for-loop [19] 3.7% ??? [3] 5.5% for-loop [21] 5.7% loop [109] 12.9% ??? [32] 19.6% ??? [149] 37.9% [139] 25586(29.2%) 3076(3.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [149] 37.9% ??? [5] 20.9% ??? [3] 9.8% simplify [28] 8.5% ??? [6] 5.8% ??? [155] 3.6% f94 [117] 3.1% parse-loop50 [56] 2.1% ??? [8] 1.4% ??? [12] 1.3% ??? [10] 1.0% bigfloat-hash [159] 0.7% taylor [152] 0.4% ------------------------------------------------------------------------------- map [121] 1.4% for-loop [112] 3.5% loop [127] 95.2% [140] 18442(21.0%) 1180(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [150] 66.8% real->bigfloat [151] 13.9% loop [127] 6.2% ??? [180] 5.4% ->flonum [153] 1.2% ------------------------------------------------------------------------------- make-multiplication-node [128] 100.0% [141] 2928(3.3%) 198(0.2%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [154] 43.0% for-loop [156] 35.9% compose [166] 14.3% ------------------------------------------------------------------------------- merge-egraph-nodes! [85] 18.5% for-loop [73] 19.6% loop [127] 30.5% apply-match [58] 31.4% [142] 1738(2.0%) 458(0.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 set [157] 30.8% loop [127] 30.5% custom-set-union [158] 18.6% ------------------------------------------------------------------------------- ??? [133] 100.0% [143] 614(0.7%) 418(0.5%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [160] 31.9% ------------------------------------------------------------------------------- ??? [132] 100.0% [144] 236(0.3%) 236(0.3%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 ------------------------------------------------------------------------------- loop [127] 100.0% [145] 220(0.3%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [175] 100.0% ------------------------------------------------------------------------------- ??? [132] 100.0% [146] 200(0.2%) 200(0.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ------------------------------------------------------------------------------- ??? [129] 100.0% [147] 200(0.2%) 200(0.2%) curried ...cket/collects/racket/function.rkt:71:18 ------------------------------------------------------------------------------- make-addition-node [135] 100.0% [148] 198(0.2%) 198(0.2%) partition ...racket/collects/racket/list.rkt:547:0 ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [149] 23330(26.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [139] 100.0% ------------------------------------------------------------------------------- ??? [140] 100.0% [150] 12322(14.0%) 842(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [174] 57.3% ...higher-order.rkt:373:33 [161] 23.6% bf* [164] 12.3% ------------------------------------------------------------------------------- loop [127] 14.1% ??? [140] 85.9% [151] 2990(3.4%) 2520(2.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [182] 15.7% ------------------------------------------------------------------------------- approximate9 [95] 9.8% hash-ref! [139] 9.9% map [121] 9.9% ??? [129] 10.9% f94 [117] 59.4% [152] 2016(2.3%) 398(0.5%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [162] 39.6% debug7 [163] 20.8% loop [127] 19.8% ------------------------------------------------------------------------------- for-loop [112] 15.8% map [121] 15.8% ??? [140] 15.9% loop [127] 52.5% [153] 1382(1.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [165] 69.2% ??? [181] 15.8% ??? [172] 15.1% ------------------------------------------------------------------------------- make-multiplication-subnode [141] 100.0% [154] 1260(1.4%) 400(0.5%) group-by68 ...acket/collects/racket/list.rkt:749:0 hash-update [167] 50.8% for-loop [171] 17.5% ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [155] 1146(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [127] 100.0% ------------------------------------------------------------------------------- make-multiplication-subnode [141] 100.0% [156] 1052(1.2%) 436(0.5%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 compose [166] 39.5% make-multiplication-subsubsubnode [173] 19.0% ------------------------------------------------------------------------------- loop! [142] 100.0% [157] 856(1.0%) 856(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------------- adopt-enode! [115] 49.6% loop! [142] 50.4% [158] 842(1.0%) 400(0.5%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [169] 52.5% ------------------------------------------------------------------------------- hash-ref! [139] 100.0% [159] 706(0.8%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [168] 65.2% bfcanonicalize [170] 34.8% ------------------------------------------------------------------------------- for-loop [143] 100.0% [160] 196(0.2%) 196(0.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------------- loop [127] 7.0% ??? [150] 93.0% [161] 3130(3.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [175] 71.8% ??? [180] 28.2% ------------------------------------------------------------------------------- taylor [152] 32.3% simplify [28] 67.7% [162] 2470(2.8%) 800(0.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [176] 67.6% ------------------------------------------------------------------------------- taylor [152] 22.6% simplify [28] 77.4% [163] 1856(2.1%) 1036(1.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [49] 32.3% return/no-unsupplied [178] 11.9% ------------------------------------------------------------------------------- ??? [150] 100.0% [164] 1510(1.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [174] 100.0% ------------------------------------------------------------------------------- ->flonum [153] 100.0% [165] 956(1.1%) 956(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------------- for-loop [156] 49.9% make-multiplication-subnode [141] 50.1% [166] 834(1.0%) 834(1.0%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------------- group-by68 [154] 100.0% [167] 640(0.7%) 640(0.7%) hash-update ...cket/private/more-scheme.rkt:356:13 ------------------------------------------------------------------------------- bigfloat-hash [159] 100.0% [168] 460(0.5%) 460(0.5%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------------- custom-set-union [158] 100.0% [169] 442(0.5%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [177] 100.0% ------------------------------------------------------------------------------- bigfloat-hash [159] 100.0% [170] 246(0.3%) 246(0.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------------- group-by68 [154] 100.0% [171] 220(0.3%) 220(0.3%) for-loop .../racket/collects/racket/list.rkt:783:4 ------------------------------------------------------------------------------- ->flonum [153] 100.0% [172] 208(0.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [182] 100.0% ------------------------------------------------------------------------------- for-loop [156] 100.0% [173] 200(0.2%) 200(0.2%) make-multiplication-subsubsubnode ...uce.rkt:253:0 ------------------------------------------------------------------------------- bf* [164] 17.6% ??? [150] 82.4% [174] 8570(9.8%) 998(1.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [179] 70.5% ??? [181] 17.8% ------------------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [145] 8.9% ...higher-order.rkt:373:33 [161] 91.1% [175] 2468(2.8%) 298(0.3%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [180] 87.9% ------------------------------------------------------------------------------- debug-print [162] 100.0% [176] 1670(1.9%) 1670(1.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------------- for-loop [169] 100.0% [177] 442(0.5%) 442(0.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------------- debug7 [163] 100.0% [178] 220(0.3%) 220(0.3%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------------- ??? [174] 100.0% [179] 6046(6.9%) 4870(5.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [182] 19.5% ------------------------------------------------------------------------------- loop [127] 5.9% ...higher-order.rkt:373:33 [161] 20.5% ??? [140] 23.3% ??? [175] 50.4% [180] 4306(4.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [181] 100.0% ------------------------------------------------------------------------------- ->flonum [153] 3.6% ??? [174] 25.2% ??? [180] 71.2% [181] 6050(6.9%) 3206(3.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [183] 42.8% ??? [184] 4.2% ------------------------------------------------------------------------------- ??? [172] 11.2% real->bigfloat [151] 25.4% bfmul [179] 63.4% [182] 1854(2.1%) 1854(2.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------------- ??? [181] 100.0% [183] 2592(3.0%) 1404(1.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [185] 45.8% ------------------------------------------------------------------------------- ??? [181] 100.0% [184] 252(0.3%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [186] 100.0% ------------------------------------------------------------------------------- ??? [183] 100.0% [185] 1188(1.4%) 1188(1.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------------- ??? [184] 100.0% [186] 252(0.3%) 252(0.3%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -------------------------------------------------------------------------------