Profiling results ----------------- Total cpu time observed: 100748ms (out of 101884ms) Number of samples taken: 431 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 7 of 191 hidden) ========================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ========================================================================= ??? [46] 100.0% [1] 95008(94.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [13] 100.0% ------------------------------------------------------------------------- ??? [46] 100.0% [2] 58746(58.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [14] 57.4% finalize-table! [15] 21.1% get-final-combination [16] 20.8% loop [56] 0.7% ------------------------------------------------------------------------- loop [146] 6.5% ??? [46] 93.5% [3] 32124(31.9%) 394(0.4%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [24] 39.9% iterate-egraph!5 [29] 37.2% for-loop [17] 21.6% ------------------------------------------------------------------------- post-process [25] 4.2% loop [146] 95.8% [4] 4860(4.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [24] 100.0% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [5] 4188(4.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [6] 3946(3.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [118] 64.6% hash-ref! [123] 35.4% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [7] 2712(2.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [8] 1934(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [20] 100.0% ------------------------------------------------------------------------- copying-mergesort [70] 100.0% [9] 1918(1.9%) 0(0.0%) jloop ...et/collects/racket/private/sort.rkt:85:19 ??? [90] 100.0% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [10] 1090(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [21] 100.0% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [11] 424(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [22] 100.0% ------------------------------------------------------------------------- f6 [127] 100.0% [12] 240(0.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [113] 100.0% ------------------------------------------------------------------------- profile-thunk14 [1] 100.0% [13] 95008(94.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [46] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 33718(33.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [23] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 12408(12.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [25] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 12218(12.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [26] 82.8% extract-alt [27] 17.2% ------------------------------------------------------------------------- simplify [3] 100.0% [17] 6946(6.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [29] 97.1% simplify-expr [24] 2.9% ------------------------------------------------------------------------- ??? [5] 100.0% [18] 4188(4.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [118] 54.2% hash-ref! [123] 35.2% simplify [117] 10.6% ------------------------------------------------------------------------- ??? [7] 100.0% [19] 2712(2.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [123] 100.0% ------------------------------------------------------------------------- ??? [8] 100.0% [20] 1934(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [123] 100.0% ------------------------------------------------------------------------- ??? [10] 100.0% [21] 1090(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [28] 100.0% ------------------------------------------------------------------------- ??? [11] 100.0% [22] 424(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [141] 100.0% ------------------------------------------------------------------------- for-loop [14] 100.0% [23] 33718(33.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [30] 89.7% finalize-iter! [34] 4.1% localize-error [33] 3.4% gen-series! [36] 2.8% ------------------------------------------------------------------------- for-loop [17] 1.1% completely-simplify-alt [4] 27.2% simplify [3] 71.7% [24] 17878(17.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [29] 93.1% loop [35] 5.8% mk-egraph [37] 1.1% ------------------------------------------------------------------------- finalize-table! [15] 100.0% [25] 12408(12.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [32] 44.7% loop [146] 44.6% localize-error [33] 5.6% ??? [42] 3.5% completely-simplify-alt [4] 1.6% ------------------------------------------------------------------------- get-final-combination [16] 100.0% [26] 10114(10.0%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [31] 87.9% ??? [42] 12.1% ------------------------------------------------------------------------- get-final-combination [16] 100.0% [27] 2104(2.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [146] 100.0% ------------------------------------------------------------------------- for-loop [21] 100.0% [28] 1090(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [123] 100.0% ------------------------------------------------------------------------- for-loop [17] 19.1% simplify [3] 33.8% simplify-expr [24] 47.1% [29] 35360(35.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [38] 98.2% ------------------------------------------------------------------------- run-iter! [23] 100.0% [30] 30248(30.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [39] 100.0% ------------------------------------------------------------------------- split-table [26] 100.0% [31] 8894(8.8%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [40] 87.8% loop [146] 12.2% ------------------------------------------------------------------------- post-process [25] 100.0% [32] 5544(5.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [41] 100.0% ------------------------------------------------------------------------- post-process [25] 25.7% loop [146] 32.0% run-iter! [23] 42.2% [33] 2722(2.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [123] 100.0% ------------------------------------------------------------------------- run-iter! [23] 100.0% [34] 1382(1.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [42] 100.0% ------------------------------------------------------------------------- simplify-expr [24] 100.0% [35] 1030(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [43] 100.0% ------------------------------------------------------------------------- run-iter! [23] 100.0% [36] 938(0.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [44] 100.0% ------------------------------------------------------------------------- simplify-expr [24] 100.0% [37] 200(0.2%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [45] 100.0% ------------------------------------------------------------------------- iterate-egraph!5 [29] 100.0% [38] 34720(34.5%) 1126(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [47] 62.7% loop [48] 26.4% apply-match [57] 5.6% loop [84] 1.4% filter [87] 0.7% ------------------------------------------------------------------------- simplify! [30] 100.0% [39] 30248(30.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [46] 99.2% debug-print [125] 0.8% ------------------------------------------------------------------------- loop [146] 12.2% infer-splitpoints4 [31] 87.8% [40] 8894(8.8%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [49] 85.7% err-lsts->split-indices [54] 7.0% pick-errors [55] 5.1% loop [146] 2.3% ------------------------------------------------------------------------- simplify-node [126] 1.3% f6 [127] 7.8% for-loop [32] 90.8% [41] 5544(5.5%) 380(0.4%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [50] 56.2% loop [146] 31.0% f6 [127] 3.3% parse-loop12 [141] 2.7% ------------------------------------------------------------------------- debug7 [143] 6.2% post-process [25] 13.4% split-table [26] 37.7% finalize-iter! [34] 42.7% [42] 3234(3.2%) 200(0.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [51] 56.1% split-atab [52] 37.7% ------------------------------------------------------------------------- loop [35] 100.0% [43] 1030(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [53] 100.0% ------------------------------------------------------------------------- gen-series! [36] 100.0% [44] 938(0.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [50] 100.0% ------------------------------------------------------------------------- mk-egraph [37] 100.0% [45] 200(0.2%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 mk-enode! [99] 100.0% ------------------------------------------------------------------------- for-loop [39] 10.5% run [13] 43.4% [46] 98664(97.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.4% run-improve58 [2] 25.3% loop [56] 20.7% simplify [3] 10.5% ------------------------------------------------------------------------- for-loop [47] 49.5% one-iter [38] 50.5% [47] 21754(21.6%) 4350(4.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [47] 49.5% match-e [68] 39.5% ??? [106] 0.5% ------------------------------------------------------------------------- one-iter [38] 100.0% [48] 9176(9.1%) 202(0.2%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [57] 97.8% ------------------------------------------------------------------------- option-on-expr [40] 100.0% [49] 7618(7.6%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [58] 100.0% ------------------------------------------------------------------------- for-loop [44] 14.9% loop [146] 32.6% append-map [41] 52.5% [50] 6280(6.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [59] 100.0% ------------------------------------------------------------------------- ??? [42] 100.0% [51] 1814(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [60] 100.0% ------------------------------------------------------------------------- ??? [42] 100.0% [52] 1220(1.2%) 0(0.0%) split-atab ...k/herbie/src/core/alt-table.rkt:74:0 for-loop [61] 100.0% ------------------------------------------------------------------------- pass [43] 100.0% [53] 1030(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [63] 58.8% make-sequence [65] 21.6% for-loop [66] 19.6% ------------------------------------------------------------------------- option-on-expr [40] 100.0% [54] 620(0.6%) 0(0.0%) err-lsts->split-indices .../core/regimes.rkt:224:0 add-splitpoint [62] 100.0% ------------------------------------------------------------------------- option-on-expr [40] 100.0% [55] 454(0.5%) 0(0.0%) pick-errors ...k/herbie/src/core/regimes.rkt:173:0 for-loop [64] 100.0% ------------------------------------------------------------------------- run-improve58 [2] 1.0% ??? [46] 99.0% [56] 40320(40.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [67] 50.1% make-exacts* [77] 36.4% loop [78] 13.5% ------------------------------------------------------------------------- one-iter [38] 17.8% loop [48] 82.2% [57] 10922(10.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [81] 29.6% match-e [68] 19.7% update-leader! [93] 16.0% for-loop [72] 14.3% loop! [152] 12.2% substitute-e [85] 8.3% ------------------------------------------------------------------------- sort-context-on-expr [49] 100.0% [58] 7618(7.6%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [70] 74.1% loop [80] 25.9% ------------------------------------------------------------------------- taylor-alt [50] 100.0% [59] 6280(6.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [69] 100.0% ------------------------------------------------------------------------- for-loop [51] 100.0% [60] 1814(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [71] 87.9% loop [76] 12.1% ------------------------------------------------------------------------- split-atab [52] 100.0% [61] 1220(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:75:2 for-loop [73] 100.0% ------------------------------------------------------------------------- err-lsts->split-indices [54] 100.0% [62] 620(0.6%) 0(0.0%) add-splitpoint ...erbie/src/core/regimes.rkt:237:2 for-loop [74] 100.0% ------------------------------------------------------------------------- for-loop [53] 100.0% [63] 606(0.6%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [75] 100.0% ------------------------------------------------------------------------- pick-errors [55] 100.0% [64] 454(0.5%) 0(0.0%) for-loop ...lock/herbie/src/core/regimes.rkt:176:4 eval-prog [102] 100.0% ------------------------------------------------------------------------- for-loop [53] 100.0% [65] 222(0.2%) 222(0.2%) make-sequence ...ects/racket/private/for.rkt:508:2 ------------------------------------------------------------------------- for-loop [53] 100.0% [66] 202(0.2%) 202(0.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------- loop [56] 100.0% [67] 20206(20.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [78] 49.3% make-exacts* [77] 44.1% eval-prog [102] 6.5% ------------------------------------------------------------------------- apply-match [57] 8.1% for-loop [92] 9.7% for-loop [47] 82.3% [68] 19352(19.2%) 11846(11.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [79] 30.6% for-loop [92] 8.2% constant? [120] 2.4% loop [146] 2.3% ------------------------------------------------------------------------- loop [82] 3.8% for-loop [59] 38.4% location-do [69] 57.8% [69] 6280(6.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [69] 57.8% approximate9 [91] 26.7% loop [82] 15.5% ------------------------------------------------------------------------- copying-mergesort [70] 49.6% sort [58] 50.4% [70] 5642(5.6%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 copying-mergesort [70] 49.6% loop [80] 41.9% jloop [9] 8.5% ------------------------------------------------------------------------- atab-add-altn [60] 100.0% [71] 1594(1.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [83] 100.0% ------------------------------------------------------------------------- apply-match [57] 100.0% [72] 1566(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [81] 44.7% substitute-e [85] 29.6% loop! [152] 25.7% ------------------------------------------------------------------------- for-loop [61] 100.0% [73] 1220(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/alt-table.rkt:80:53 loop [84] 83.6% filter [87] 16.4% ------------------------------------------------------------------------- add-splitpoint [62] 100.0% [74] 620(0.6%) 200(0.2%) for-loop ...lock/herbie/src/core/regimes.rkt:239:4 for-loop [88] 35.5% loop [89] 32.3% ------------------------------------------------------------------------- argmin [63] 100.0% [75] 606(0.6%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [86] 100.0% ------------------------------------------------------------------------- atab-add-altn [60] 100.0% [76] 220(0.2%) 0(0.0%) loop ...atlock/herbie/src/core/alt-table.rkt:182:2 loop [146] 100.0% ------------------------------------------------------------------------- loop [67] 37.8% loop [56] 62.2% [77] 23582(23.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [134] 50.1% loop [146] 48.1% eval-prog [102] 1.8% ------------------------------------------------------------------------- loop [56] 35.4% loop [67] 64.6% [78] 15420(15.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [134] 100.0% ------------------------------------------------------------------------- match-e [68] 100.0% [79] 7056(7.0%) 2972(2.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [92] 35.5% list-cartesian-product [95] 13.6% curry* [100] 6.0% loop [146] 2.8% foldl [101] 1.4% ------------------------------------------------------------------------- sort [58] 34.7% copying-mergesort [70] 65.3% [80] 5700(5.7%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [90] 96.1% ??? [151] 3.9% ------------------------------------------------------------------------- merge-egraph-nodes! [81] 5.6% for-loop [98] 8.4% for-loop [72] 17.8% apply-match [57] 68.2% [81] 3928(3.9%) 200(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [93] 41.1% for-loop [97] 22.9% loop! [152] 14.1% for-loop [98] 11.2% merge-egraph-nodes! [81] 5.6% ------------------------------------------------------------------------- loop [82] 42.0% location-do [69] 58.0% [82] 2330(2.3%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [82] 42.0% approximate9 [91] 39.6% location-do [69] 18.5% ------------------------------------------------------------------------- loop [146] 11.2% best-and-tied-at-points [71] 88.8% [83] 1796(1.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [94] 62.2% eval-prog [102] 37.8% ------------------------------------------------------------------------- one-iter [38] 32.0% for-loop [73] 68.0% [84] 1500(1.5%) 678(0.7%) loop ...ket/collects/racket/private/list.rkt:264:4 ??? [96] 54.8% ------------------------------------------------------------------------- substitute-e [85] 17.7% for-loop [72] 25.1% apply-match [57] 57.2% [85] 1366(1.4%) 724(0.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [99] 47.0% substitute-e [85] 17.7% ------------------------------------------------------------------------- expression-cost [75] 100.0% [86] 606(0.6%) 202(0.2%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [123] 66.7% ------------------------------------------------------------------------- for-loop [73] 45.9% one-iter [38] 54.1% [87] 436(0.4%) 236(0.2%) filter ...t/collects/racket/private/list.rkt:256:2 ??? [96] 45.9% ------------------------------------------------------------------------- for-loop [74] 100.0% [88] 220(0.2%) 220(0.2%) for-loop ...lock/herbie/src/core/regimes.rkt:243:8 ------------------------------------------------------------------------- for-loop [74] 4.2% loop [89] 95.8% [89] 200(0.2%) 200(0.2%) loop ...hare/racket/collects/racket/list.rkt:154:2 loop [89] 95.8% ------------------------------------------------------------------------- jloop [9] 25.9% loop [80] 74.1% [90] 7398(7.3%) 222(0.2%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [102] 94.3% ??? [151] 2.7% ------------------------------------------------------------------------- loop [82] 23.4% location-do [69] 76.6% [91] 6280(6.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [103] 76.8% f6 [127] 13.4% taylor-sqrt [105] 7.0% taylor-quotient [111] 2.9% ------------------------------------------------------------------------- match-e [68] 45.5% for-loop [79] 54.5% [92] 4966(4.9%) 900(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [68] 71.6% ??? [106] 12.5% ------------------------------------------------------------------------- merge-egraph-nodes! [81] 49.7% apply-match [57] 50.3% [93] 3472(3.4%) 442(0.4%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [104] 80.9% hash-ref! [123] 6.4% ------------------------------------------------------------------------- errors [83] 100.0% [94] 1118(1.1%) 414(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [151] 41.3% ??? [108] 21.6% ------------------------------------------------------------------------- for-loop [79] 100.0% [95] 1070(1.1%) 870(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [110] 18.7% ------------------------------------------------------------------------- filter [87] 19.6% loop [84] 80.4% [96] 1022(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/regimes.rkt:291:8 eval-prog [102] 100.0% ------------------------------------------------------------------------- merge-egraph-nodes! [81] 100.0% [97] 900(0.9%) 478(0.5%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [159] 46.9% ------------------------------------------------------------------------- merge-egraph-nodes! [81] 100.0% [98] 880(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [81] 75.0% loop! [152] 25.0% ------------------------------------------------------------------------- expr->enode [45] 23.8% substitute-e [85] 76.2% [99] 842(0.8%) 842(0.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------- for-loop [79] 100.0% [100] 422(0.4%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [107] 100.0% ------------------------------------------------------------------------- for-loop [79] 100.0% [101] 200(0.2%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [109] 100.0% ------------------------------------------------------------------------- make-exacts* [77] 3.6% for-loop [64] 3.8% errors [83] 5.7% for-loop [136] 7.9% ??? [96] 8.7% loop [67] 11.2% ??? [90] 59.1% [102] 11802(11.7%) 6842(6.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [123] 34.4% ??? [114] 5.7% go [116] 1.9% ------------------------------------------------------------------------- approximate9 [91] 100.0% [103] 4820(4.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [123] 100.0% ------------------------------------------------------------------------- update-leader! [93] 100.0% [104] 2808(2.8%) 420(0.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [112] 85.0% ------------------------------------------------------------------------- ??? [153] 19.2% approximate9 [91] 38.6% hash-ref! [123] 42.3% [105] 1136(1.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [113] 59.7% simplify [117] 40.3% ------------------------------------------------------------------------- for-loop [47] 24.3% for-loop [92] 75.7% [106] 822(0.8%) 200(0.2%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [115] 75.7% ------------------------------------------------------------------------- curry* [100] 100.0% [107] 422(0.4%) 422(0.4%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------- for-loop [94] 100.0% [108] 242(0.2%) 242(0.2%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ------------------------------------------------------------------------- foldl [101] 100.0% [109] 200(0.2%) 200(0.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------- list-cartesian-product [95] 100.0% [110] 200(0.2%) 200(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------- approximate9 [91] 100.0% [111] 180(0.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [113] 100.0% ------------------------------------------------------------------------- for-loop [104] 100.0% [112] 2388(2.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [119] 100.0% ------------------------------------------------------------------------- taylor-quotient [111] 16.4% taylor-invert [12] 21.9% taylor-sqrt [105] 61.7% [113] 1098(1.1%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [123] 56.3% simplify [117] 21.9% ??? [118] 21.9% ------------------------------------------------------------------------- eval-prog [102] 100.0% [114] 678(0.7%) 218(0.2%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [121] 67.8% ------------------------------------------------------------------------- ??? [106] 100.0% [115] 622(0.6%) 422(0.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 constant? [120] 32.2% ------------------------------------------------------------------------- eval-prog [102] 100.0% [116] 220(0.2%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [122] 100.0% ------------------------------------------------------------------------- first-nonzero-exp [113] 4.1% loop [146] 6.8% for-loop [18] 7.5% taylor-sqrt [105] 7.8% hash-ref! [123] 73.9% [117] 5902(5.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [127] 57.5% parse-loop12 [141] 25.5% debug-print [125] 10.0% simplify-node [126] 3.8% debug7 [143] 3.3% ------------------------------------------------------------------------- first-nonzero-exp [113] 6.4% ??? [6] 33.1% for-loop [18] 60.5% [118] 3730(3.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [123] 100.0% ------------------------------------------------------------------------- for-loop [112] 100.0% [119] 2388(2.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [124] 100.0% ------------------------------------------------------------------------- for-loop [115] 30.3% match-e [68] 69.7% [120] 660(0.7%) 660(0.7%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ------------------------------------------------------------------------- ??? [114] 100.0% [121] 460(0.5%) 460(0.5%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------- loop [122] 50.0% go [116] 50.0% [122] 220(0.2%) 220(0.2%) loop ...llects/racket/private/qq-and-or.rkt:101:61 loop [122] 50.0% ------------------------------------------------------------------------- for-loop [149] 0.5% f6 [127] 0.7% for-loop [28] 0.8% compile [86] 0.9% update-leader! [93] 1.7% for-loop [20] 1.9% ??? [6] 2.0% ??? [153] 2.1% ??? [128] 2.2% for-loop [18] 3.5% first-nonzero-exp [113] 3.9% for-loop [19] 5.2% ??? [130] 7.4% loop [103] 7.6% ??? [118] 8.7% eval-prog [102] 10.9% localize-error [33] 18.3% loop [146] 20.7% [123] 12848(12.8%) 866(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [128] 23.8% f6 [127] 20.9% ??? [5] 10.8% bigfloat-hash [129] 9.6% ??? [130] 7.4% simplify [117] 7.3% ??? [7] 5.2% ??? [6] 4.9% ??? [8] 1.9% parse-loop12 [141] 1.4% taylor-sqrt [105] 1.1% ??? [10] 0.8% ??? [11] 0.5% ??? [133] 0.3% ------------------------------------------------------------------------- hash-update! [119] 100.0% [124] 2388(2.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [131] 100.0% ------------------------------------------------------------------------- for-loop [39] 27.9% simplify [117] 72.1% [125] 816(0.8%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [132] 100.0% ------------------------------------------------------------------------- simplify [117] 100.0% [126] 222(0.2%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [41] 100.0% ------------------------------------------------------------------------- ??? [153] 0.9% append-map [41] 1.9% parse-loop12 [141] 3.0% loop [146] 3.1% composed [137] 3.6% approximate9 [91] 4.0% f6 [127] 5.6% map [134] 11.9% simplify [117] 24.7% hash-ref! [123] 41.3% [127] 7314(7.3%) 1492(1.5%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [134] 32.6% for-loop [136] 24.7% append-map [41] 6.6% f6 [127] 5.6% taylor [138] 4.5% composed [137] 3.6% ??? [151] 3.3% hash-ref! [123] 2.6% taylor-invert [12] 0.8% parse-app [148] 0.8% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [128] 4466(4.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [146] 91.0% hash-ref! [123] 9.0% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [129] 3594(3.6%) 394(0.4%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [135] 71.0% sig+exp->bigfloat [139] 12.5% bigfloat->sig+exp [142] 5.5% ------------------------------------------------------------------------- hash-ref! [123] 100.0% [130] 2702(2.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [123] 100.0% ------------------------------------------------------------------------- ??? [124] 100.0% [131] 2388(2.4%) 1926(1.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [159] 19.3% ------------------------------------------------------------------------- debug-print [125] 100.0% [132] 816(0.8%) 816(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------- hash-ref! [123] 100.0% [133] 218(0.2%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 repeat [140] 100.0% ------------------------------------------------------------------------- parse-loop12 [141] 1.5% f6 [127] 10.2% make-exacts* [77] 38.3% loop [78] 50.0% [134] 30842(30.6%) 574(0.6%) map ...acket/collects/racket/private/map.rkt:21:13 loop [146] 87.4% f6 [127] 3.3% parse-loop12 [141] 3.2% ??? [153] 2.1% ??? [151] 1.9% make-multiplication-node [147] 0.7% ------------------------------------------------------------------------- bigfloat-hash [129] 100.0% [135] 2552(2.5%) 2334(2.3%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [142] 8.5% ------------------------------------------------------------------------- f6 [127] 100.0% [136] 1804(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:31:37 eval-prog [102] 51.6% ??? [151] 48.4% ------------------------------------------------------------------------- f6 [127] 100.0% [137] 794(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [127] 100.0% ------------------------------------------------------------------------- f6 [127] 100.0% [138] 600(0.6%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [146] 66.7% debug7 [143] 33.3% ------------------------------------------------------------------------- bigfloat-hash [129] 100.0% [139] 450(0.4%) 230(0.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [144] 48.9% ------------------------------------------------------------------------- ??? [133] 100.0% [140] 218(0.2%) 0(0.0%) repeat ...atlock/herbie/src/core/localize.rkt:13:0 for-loop [145] 100.0% ------------------------------------------------------------------------- append-map [41] 6.3% parse-loop12 [141] 9.4% for-loop [22] 12.1% hash-ref! [123] 13.1% map [134] 27.2% simplify [117] 31.9% [141] 3512(3.5%) 1792(1.8%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [146] 19.3% for-loop [149] 12.1% parse-loop12 [141] 9.4% map [134] 7.3% parse-app [148] 5.6% f6 [127] 3.2% make-multiplication-node [147] 3.2% ------------------------------------------------------------------------- bigfloat-hash [129] 47.6% bfcanonicalize [135] 52.4% [142] 416(0.4%) 198(0.2%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [150] 52.4% ------------------------------------------------------------------------- simplify [117] 49.2% taylor [138] 50.8% [143] 394(0.4%) 194(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [42] 50.8% ------------------------------------------------------------------------- sig+exp->bigfloat [139] 100.0% [144] 220(0.2%) 220(0.2%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ------------------------------------------------------------------------- repeat [140] 100.0% [145] 218(0.2%) 218(0.2%) for-loop ...lock/herbie/src/core/localize.rkt:14:2 ------------------------------------------------------------------------- loop [76] 0.0% for-loop [79] 0.1% make-exacts* [77] 0.3% option-on-expr [40] 0.4% taylor [138] 0.5% parse-loop12 [141] 0.6% match-e [68] 0.8% loop! [152] 1.0% map [134] 1.6% infer-splitpoints4 [31] 1.9% post-process [25] 2.1% extract-alt [27] 2.5% append-map [41] 3.1% ??? [128] 6.1% loop [146] 78.5% [146] 56660(56.2%) 1286(1.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [146] 78.5% hash-ref! [123] 5.9% taylor-alt [50] 3.1% simplify [3] 2.5% option-on-expr [40] 1.9% ??? [151] 1.8% localize-error [33] 1.1% completely-simplify-alt [4] 1.0% loop! [152] 1.0% simplify [117] 0.5% for-loop [155] 0.5% ??? [153] 0.4% f6 [127] 0.4% errors [83] 0.4% ??? [176] 0.0% ------------------------------------------------------------------------- parse-loop12 [141] 33.4% map [134] 66.6% [147] 664(0.7%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [154]100.0% ------------------------------------------------------------------------- parse-loop12 [141] 45.0% f6 [127] 55.0% [148] 436(0.4%) 240(0.2%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [156] 45.0% ------------------------------------------------------------------------- parse-loop12 [141] 100.0% [149] 424(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [123] 100.0% ------------------------------------------------------------------------- bigfloat->sig+exp [142] 100.0% [150] 218(0.2%) 218(0.2%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 ------------------------------------------------------------------------- ??? [90] 0.5% loop [80] 0.5% f6 [127] 0.6% for-loop [94] 1.1% map [134] 1.5% for-loop [136] 2.2% loop [146] 93.6% [151] 40374(40.1%) 1076(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [157] 85.7% real->bigfloat [158] 8.2% ??? [179] 2.3% ->flonum [164] 0.6% ------------------------------------------------------------------------- for-loop [98] 3.9% for-loop [72] 7.1% merge-egraph-nodes! [81] 23.7% loop [146] 29.9% apply-match [57] 35.5% [152] 2836(2.8%) 632(0.6%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [161] 32.4% loop [146] 29.9% set [160] 23.0% update-en-expr [159] 3.6% ------------------------------------------------------------------------- loop [146] 34.7% map [134] 65.3% [153] 884(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [123] 52.0% taylor-sqrt [105] 24.7% f6 [127] 23.3% ------------------------------------------------------------------------- make-multiplication-node [147] 100.0% [154] 664(0.7%) 202(0.2%) make-multiplication-subnode ...re/reduce.rkt:231:0 compose [163] 36.1% group-by68 [165] 33.4% ------------------------------------------------------------------------- loop [146] 100.0% [155] 640(0.6%) 218(0.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [162] 65.9% ------------------------------------------------------------------------- parse-app [148] 100.0% [156] 196(0.2%) 196(0.2%) loop .../collects/racket/private/stxcase.rkt:112:7 ------------------------------------------------------------------------- ??? [151] 100.0% [157] 34602(34.3%) 1564(1.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [176] 40.4% bf* [173] 27.2% ...higher-order.rkt:373:33 [166] 16.5% bfcube [167] 5.9% bffma [168] 2.8% bf>= [171] 1.3% ...higher-order.rkt:369:33 [172] 0.7% ??? [170] 0.6% ------------------------------------------------------------------------- ??? [151] 100.0% [158] 3304(3.3%) 3076(3.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [182] 6.9% ------------------------------------------------------------------------- loop! [152] 18.6% for-loop [97] 38.9% for-loop [131] 42.5% [159] 1086(1.1%) 1086(1.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------- loop! [152] 100.0% [160] 1084(1.1%) 1084(1.1%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------- loop! [152] 100.0% [161] 918(0.9%) 200(0.2%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [169] 78.2% ------------------------------------------------------------------------- for-loop [155] 100.0% [162] 422(0.4%) 422(0.4%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------- make-multiplication-subnode [154]100.0% [163] 240(0.2%) 240(0.2%) compose ...collects/racket/private/list.rkt:385:12 ------------------------------------------------------------------------- ??? [151] 100.0% [164] 240(0.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [170] 100.0% ------------------------------------------------------------------------- make-multiplication-subnode [154]100.0% [165] 222(0.2%) 222(0.2%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------- ??? [157] 100.0% [166] 5720(5.7%) 510(0.5%) ...higher-order.rkt:373:33 (unknown source) ??? [177] 83.5% ??? [179] 7.6% ------------------------------------------------------------------------- ??? [157] 100.0% [167] 2050(2.0%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 ...ow-val-first.rkt:357:18 [174] 57.7% bf* [173] 42.3% ------------------------------------------------------------------------- ??? [157] 100.0% [168] 968(1.0%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [173] 100.0% ------------------------------------------------------------------------- custom-set-union [161] 100.0% [169] 718(0.7%) 238(0.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [175] 66.9% ------------------------------------------------------------------------- ??? [157] 48.1% ->flonum [164] 51.9% [170] 462(0.5%) 462(0.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------- ??? [157] 100.0% [171] 454(0.5%) 0(0.0%) bf>= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [181] 100.0% ------------------------------------------------------------------------- ??? [157] 100.0% [172] 238(0.2%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [177] 100.0% ------------------------------------------------------------------------- bfcube [167] 7.7% bffma [168] 8.6% ??? [157] 83.7% [173] 11248(11.2%) 240(0.2%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [176] 97.9% ------------------------------------------------------------------------- bfcube [167] 100.0% [174] 1182(1.2%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [177] 100.0% ------------------------------------------------------------------------- for-loop [169] 100.0% [175] 480(0.5%) 480(0.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------- loop [146] 1.0% bf* [173] 43.6% ??? [157] 55.4% [176] 25224(25.0%) 3578(3.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [178] 55.1% ??? [181] 18.8% bfneg [180] 12.0% ------------------------------------------------------------------------- ...higher-order.rkt:369:33 [172] 3.8% ...ow-val-first.rkt:357:18 [174] 19.1% ...higher-order.rkt:373:33 [166] 77.1% [177] 6194(6.1%) 462(0.5%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [179] 92.5% ------------------------------------------------------------------------- ??? [176] 100.0% [178] 13900(13.8%) 9834(9.8%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [182] 29.3% ------------------------------------------------------------------------- ...higher-order.rkt:373:33 [166] 6.1% ??? [151] 13.1% ??? [177] 80.8% [179] 7098(7.0%) 266(0.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [181] 96.3% ------------------------------------------------------------------------- ??? [176] 100.0% [180] 3016(3.0%) 2034(2.0%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [182] 32.6% ------------------------------------------------------------------------- bf>= [171] 3.8% ??? [176] 39.4% ??? [179] 56.9% [181] 12016(11.9%) 7146(7.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [183] 38.6% ------------------------------------------------------------------------- real->bigfloat [158] 4.3% bfneg [180] 18.6% bfadd [178] 77.1% [182] 5276(5.2%) 5276(5.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------- ??? [181] 100.0% [183] 4636(4.6%) 3080(3.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [184] 33.6% ------------------------------------------------------------------------- ??? [183] 100.0% [184] 1556(1.5%) 1556(1.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -------------------------------------------------------------------------