Profiling results ----------------- Total cpu time observed: 7438ms (out of 7596ms) Number of samples taken: 64 (once every 116ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [33] 100.0% [1] 7328(98.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [33] 100.0% [2] 6554(88.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 93.9% finalize-table! [11] 3.4% loop [39] 2.7% ---------------------------------------------------------------------- ??? [33] 100.0% [3] 5674(76.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 61.2% iterate-egraph!5 [15] 22.7% for-loop [10] 16.1% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [4] 164(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [5] 164(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ---------------------------------------------------------------------- loop [81] 100.0% [6] 164(2.2%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [71] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 7328(98.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 6154(82.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [85] 3.0% simplify [3] 97.0% [9] 3582(48.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 97.3% loop [17] 2.7% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 912(12.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 220(3.0%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [16] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [12] 164(2.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [71] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [13] 164(2.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [71] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [14] 6154(82.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 92.2% localize-error [21] 2.7% gen-series! [22] 2.7% finalize-iter! [23] 2.5% ---------------------------------------------------------------------- for-loop [10] 16.0% simplify [3] 22.7% simplify-expr [9] 61.3% [15] 5684(76.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 96.3% map-enodes [20] 3.7% ---------------------------------------------------------------------- finalize-table! [11] 100.0% [16] 220(3.0%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [24] 50.9% loop [81] 49.1% ---------------------------------------------------------------------- simplify-expr [9] 100.0% [17] 98(1.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [25] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [18] 5674(76.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [19] 5474(73.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 50.5% loop [28] 45.7% apply-match [34] 2.0% filter [64] 1.9% ---------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [20] 210(2.8%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [81] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [21] 164(2.2%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [71] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [22] 164(2.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [23] 152(2.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% ---------------------------------------------------------------------- post-process [16] 100.0% [24] 112(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [31] 100.0% ---------------------------------------------------------------------- loop [17] 100.0% [25] 98(1.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [32] 100.0% ---------------------------------------------------------------------- simplify! [18] 100.0% [26] 5674(76.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ---------------------------------------------------------------------- for-loop [27] 50.0% one-iter [19] 50.0% [27] 2762(37.1%) 242(3.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 50.0% match-e [38] 45.6% ---------------------------------------------------------------------- one-iter [19] 100.0% [28] 2500(33.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [34] 100.0% ---------------------------------------------------------------------- gen-series! [22] 100.0% [29] 164(2.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ---------------------------------------------------------------------- finalize-iter! [23] 100.0% [30] 152(2.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 100.0% ---------------------------------------------------------------------- for-loop [24] 100.0% [31] 112(1.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [35] 100.0% ---------------------------------------------------------------------- pass [25] 100.0% [32] 98(1.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [37] 100.0% ---------------------------------------------------------------------- for-loop [26] 25.7% run [7] 36.8% [33] 7438(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 36.8% run-improve58 [2] 31.6% simplify [3] 25.7% loop [39] 5.9% ---------------------------------------------------------------------- one-iter [19] 4.2% loop [28] 95.8% [34] 2610(35.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [40] 33.6% match-e [38] 27.9% loop! [83] 12.8% substitute-e [41] 11.1% for-loop [42] 10.7% reduce-to-single! [45] 3.9% ---------------------------------------------------------------------- append-map [31] 40.6% for-loop [29] 59.4% [35] 276(3.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% ---------------------------------------------------------------------- ??? [30] 100.0% [36] 152(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% ---------------------------------------------------------------------- for-loop [32] 100.0% [37] 98(1.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [46] 100.0% ---------------------------------------------------------------------- apply-match [34] 15.3% for-loop [58] 20.5% for-loop [27] 64.2% [38] 3248(43.7%) 1148(15.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 51.6% for-loop [58] 7.2% custom-in-set [51] 5.5% list-cartesian-product [59] 2.6% ---------------------------------------------------------------------- run-improve58 [2] 16.9% ??? [33] 83.1% [39] 1064(14.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [48] 63.2% make-exacts* [60] 36.8% ---------------------------------------------------------------------- for-loop [56] 5.7% merge-egraph-nodes! [40] 15.8% apply-match [34] 78.5% [40] 876(11.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 30.1% for-loop [52] 20.5% loop! [83] 16.4% merge-egraph-nodes! [40] 15.8% for-loop [55] 11.4% for-loop [56] 5.7% ---------------------------------------------------------------------- substitute-e [41] 31.0% apply-match [34] 69.0% [41] 290(3.9%) 180(2.4%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [54] 37.9% substitute-e [41] 31.0% ---------------------------------------------------------------------- apply-match [34] 100.0% [42] 280(3.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [83] 100.0% ---------------------------------------------------------------------- taylor-alt [35] 100.0% [43] 276(3.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ---------------------------------------------------------------------- for-loop [36] 100.0% [44] 152(2.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [53] 100.0% ---------------------------------------------------------------------- apply-match [34] 100.0% [45] 102(1.4%) 102(1.4%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ---------------------------------------------------------------------- argmin [37] 100.0% [46] 98(1.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [57] 100.0% ---------------------------------------------------------------------- match-e [38] 100.0% [47] 1956(26.3%) 762(10.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [58] 48.8% list-cartesian-product [59] 14.9% loop [81] 5.1% filter [64] 2.8% ---------------------------------------------------------------------- loop [39] 100.0% [48] 672(9.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [61] 78.0% make-exacts* [60] 22.0% ---------------------------------------------------------------------- location-do [49] 27.1% for-loop [43] 72.9% [49] 276(3.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [62] 72.9% location-do [49] 27.1% ---------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [50] 264(3.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [63] 100.0% ---------------------------------------------------------------------- match-e [38] 100.0% [51] 180(2.4%) 180(2.4%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [52] 180(2.4%) 180(2.4%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- atab-add-altn [44] 100.0% [53] 152(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 100.0% ---------------------------------------------------------------------- substitute-e [41] 100.0% [54] 110(1.5%) 110(1.5%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [55] 100(1.3%) 100(1.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- merge-egraph-nodes! [40] 100.0% [56] 100(1.3%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [40] 100.0% ---------------------------------------------------------------------- expression-cost [46] 100.0% [57] 98(1.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [71] 100.0% ---------------------------------------------------------------------- match-e [38] 18.2% for-loop [47] 81.8% [58] 1552(20.9%) 256(3.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 81.1% ??? [70] 7.1% ---------------------------------------------------------------------- list-cartesian-product [59] 22.9% match-e [38] 28.5% for-loop [47] 48.6% [59] 582(7.8%) 582(7.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [59] 22.9% ---------------------------------------------------------------------- loop [48] 27.4% loop [39] 72.6% [60] 540(7.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [81] 50.4% map [66] 49.6% ---------------------------------------------------------------------- loop [48] 100.0% [61] 524(7.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [66] 100.0% ---------------------------------------------------------------------- location-do [49] 100.0% [62] 276(3.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [67] 100.0% ---------------------------------------------------------------------- update-leader! [50] 100.0% [63] 264(3.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [68] 100.0% ---------------------------------------------------------------------- one-iter [19] 48.1% for-loop [47] 51.9% [64] 212(2.9%) 212(2.9%) filter ...t/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------- best-and-tied-at-points [53] 100.0% [65] 152(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [69] 100.0% ---------------------------------------------------------------------- make-exacts* [60] 33.8% loop [61] 66.2% [66] 792(10.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 77.3% ??? [82] 22.7% ---------------------------------------------------------------------- approximate9 [62] 100.0% [67] 276(3.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% ---------------------------------------------------------------------- for-loop [63] 100.0% [68] 264(3.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [72] 100.0% ---------------------------------------------------------------------- errors [65] 100.0% [69] 152(2.0%) 152(2.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- for-loop [58] 100.0% [70] 110(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [73] 100.0% ---------------------------------------------------------------------- compile [57] 4.6% for-loop [13] 6.1% for-loop [12] 12.2% ??? [77] 13.7% ??? [6] 15.2% localize-error [21] 15.2% ??? [74] 16.5% loop [67] 16.5% [71] 538(7.2%) 98(1.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [78] 30.5% ??? [74] 16.5% simplify [75] 16.5% ??? [77] 13.7% ??? [4] 12.2% ??? [5] 6.1% ---------------------------------------------------------------------- for-loop [68] 100.0% [72] 264(3.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [76] 100.0% ---------------------------------------------------------------------- ??? [70] 100.0% [73] 110(1.5%) 110(1.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- hash-ref! [71] 100.0% [74] 276(3.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [71] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [75] 276(3.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [79] 59.4% parse-loop12 [78] 40.6% ---------------------------------------------------------------------- hash-update! [72] 100.0% [76] 264(3.5%) 164(2.2%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [80] 37.9% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 98(1.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [71] 100.0% ---------------------------------------------------------------------- simplify [75] 40.6% hash-ref! [71] 59.4% [78] 276(3.7%) 112(1.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [81] 59.4% ---------------------------------------------------------------------- simplify [75] 100.0% [79] 164(2.2%) 164(2.2%) f37 ...t/collects/racket/match/compiler.rkt:499:40 ---------------------------------------------------------------------- ??? [76] 100.0% [80] 100(1.3%) 100(1.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- parse-loop12 [78] 0.3% make-exacts* [60] 0.5% map [66] 2.4% post-process [16] 2.8% for-loop [47] 5.2% map-enodes [20] 6.1% loop! [83] 8.1% loop [81] 74.7% [81] 1928(25.9%) 100(1.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 74.7% loop! [83] 8.1% for-loop [84] 6.1% ??? [82] 2.9% completely-simplify-alt [85] 2.8% ??? [6] 0.1% ??? [97] 0.1% ---------------------------------------------------------------------- map [66] 16.9% loop [81] 83.1% [82] 1064(14.3%) 110(1.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [86] 52.3% ??? [87] 37.4% ---------------------------------------------------------------------- apply-match [34] 23.0% for-loop [42] 24.4% loop [81] 24.4% merge-egraph-nodes! [40] 28.1% [83] 946(12.7%) 380(5.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [81] 24.4% custom-set-union [89] 21.4% set [88] 12.3% update-en-expr [90] 7.0% ---------------------------------------------------------------------- loop [81] 100.0% [84] 210(2.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [91] 52.4% setfindf [92] 47.6% ---------------------------------------------------------------------- loop [81] 100.0% [85] 108(1.5%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [9] 100.0% ---------------------------------------------------------------------- ??? [82] 100.0% [86] 556(7.5%) 408(5.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [101] 26.6% ---------------------------------------------------------------------- ??? [82] 100.0% [87] 398(5.4%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [93] 44.7% ...higher-order.rkt:373:33 [94] 27.6% ??? [97] 27.6% ---------------------------------------------------------------------- loop! [83] 100.0% [88] 232(3.1%) 232(3.1%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- loop! [83] 100.0% [89] 202(2.7%) 102(1.4%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [96] 49.5% ---------------------------------------------------------------------- loop! [83] 100.0% [90] 132(1.8%) 132(1.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- for-loop [84] 100.0% [91] 110(1.5%) 110(1.5%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ---------------------------------------------------------------------- for-loop [84] 100.0% [92] 100(1.3%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 for-loop [95] 100.0% ---------------------------------------------------------------------- ??? [87] 100.0% [93] 178(2.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [97] 100.0% ---------------------------------------------------------------------- ??? [87] 100.0% [94] 110(1.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [98] 100.0% ---------------------------------------------------------------------- setfindf [92] 100.0% [95] 100(1.3%) 100(1.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:174:2 ---------------------------------------------------------------------- custom-set-union [89] 100.0% [96] 100(1.3%) 100(1.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 ---------------------------------------------------------------------- ??? [87] 24.3% loop [81] 36.3% bf* [93] 39.4% [97] 452(6.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [99] 73.0% ??? [102] 27.0% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [94]100.0% [98] 110(1.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [100] 100.0% ---------------------------------------------------------------------- ??? [97] 100.0% [99] 330(4.4%) 56(0.8%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [101] 83.0% ---------------------------------------------------------------------- ??? [98] 100.0% [100] 110(1.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [102] 100.0% ---------------------------------------------------------------------- real->bigfloat [86] 35.1% bfadd [99] 64.9% [101] 422(5.7%) 422(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [100] 47.4% ??? [97] 52.6% [102] 232(3.1%) 122(1.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [103] 47.4% ---------------------------------------------------------------------- ??? [102] 100.0% [103] 110(1.5%) 110(1.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 ----------------------------------------------------------------------