Profiling results ----------------- Total cpu time observed: 61900ms (out of 63000ms) Number of samples taken: 257 (once every 241ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 100 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [39] 100.0% [1] 60378(97.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [39] 100.0% [2] 11432(18.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 85.2% loop [46] 7.8% get-final-combination [12] 7.0% ---------------------------------------------------------------------- loop [71] 8.5% ??? [39] 91.5% [3] 7044(11.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [19] 60.4% simplify-expr [10] 27.3% for-loop [13] 9.4% loop [16] 2.9% ---------------------------------------------------------------------- location-do [58] 100.0% [4] 1204(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [11] 66.8% f6 [81] 16.8% taylor-sqrt [17] 16.4% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [5] 804(1.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [78] 75.1% ??? [22] 24.9% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [6] 404(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [7] 402(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 60378(97.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 9738(15.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [18] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 1924(3.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% ---------------------------------------------------------------------- approximate9 [4] 100.0% [11] 804(1.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [78] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 798(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [21] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [13] 662(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [14] 404(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [22] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [15] 402(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [78] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [16] 202(0.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [23] 100.0% ---------------------------------------------------------------------- approximate9 [4] 100.0% [17] 198(0.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [20] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [18] 9738(15.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [25] 66.2% finalize-iter! [26] 14.8% gen-series! [27] 12.4% localize-error [28] 4.3% choose-best-alt! [29] 2.3% ---------------------------------------------------------------------- for-loop [13] 9.7% simplify-expr [10] 28.1% simplify [3] 62.2% [19] 6842(11.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 100.0% ---------------------------------------------------------------------- taylor-sqrt [17] 19.8% hash-ref! [78] 80.2% [20] 1002(1.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [81] 80.0% debug7 [31] 20.0% ---------------------------------------------------------------------- get-final-combination [12] 100.0% [21] 798(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [71] 74.9% loop [65] 25.1% ---------------------------------------------------------------------- ??? [5] 33.1% for-loop [14] 66.9% [22] 604(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [78] 100.0% ---------------------------------------------------------------------- loop [16] 100.0% [23] 202(0.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [30] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [24] 6842(11.1%) 402(0.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 72.5% loop [35] 21.7% ---------------------------------------------------------------------- run-iter! [18] 100.0% [25] 6446(10.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [32] 100.0% ---------------------------------------------------------------------- run-iter! [18] 100.0% [26] 1446(2.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [34] 100.0% ---------------------------------------------------------------------- run-iter! [18] 100.0% [27] 1204(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [36] 100.0% ---------------------------------------------------------------------- run-iter! [18] 100.0% [28] 422(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [78] 100.0% ---------------------------------------------------------------------- run-iter! [18] 100.0% [29] 220(0.4%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [34] 100.0% ---------------------------------------------------------------------- pass [23] 100.0% [30] 202(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [37] 100.0% ---------------------------------------------------------------------- simplify [20] 100.0% [31] 200(0.3%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [38] 100.0% ---------------------------------------------------------------------- simplify! [25] 100.0% [32] 6446(10.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 100.0% ---------------------------------------------------------------------- for-loop [33] 48.0% one-iter [24] 52.0% [33] 4958(8.0%) 798(1.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 48.0% match-e [47] 42.0% ---------------------------------------------------------------------- choose-best-alt! [29] 13.2% finalize-iter! [26] 86.8% [34] 1666(2.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [41] 74.7% atab-pick-alt8 [43] 13.2% atab-add-altns [44] 12.1% ---------------------------------------------------------------------- one-iter [24] 100.0% [35] 1482(2.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% ---------------------------------------------------------------------- gen-series! [27] 100.0% [36] 1204(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [42] 100.0% ---------------------------------------------------------------------- for-loop [30] 100.0% [37] 202(0.3%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [45] 100.0% ---------------------------------------------------------------------- debug7 [31] 100.0% [38] 200(0.3%) 200(0.3%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ---------------------------------------------------------------------- for-loop [32] 3.6% run [8] 47.8% [39] 61002(98.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.8% loop [46] 40.8% run-improve58 [2] 7.8% simplify [3] 3.6% ---------------------------------------------------------------------- loop [35] 100.0% [40] 1482(2.4%) 202(0.3%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [47] 29.7% for-loop [50] 28.5% substitute-e [52] 14.7% merge-egraph-nodes! [54] 13.5% ---------------------------------------------------------------------- ??? [34] 100.0% [41] 1244(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [48] 100.0% ---------------------------------------------------------------------- for-loop [36] 100.0% [42] 1204(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [49] 100.0% ---------------------------------------------------------------------- ??? [34] 100.0% [43] 220(0.4%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [51] 100.0% ---------------------------------------------------------------------- ??? [34] 100.0% [44] 202(0.3%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [48] 100.0% ---------------------------------------------------------------------- argmin [37] 100.0% [45] 202(0.3%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [53] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.8% ??? [39] 98.2% [46] 50466(81.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [55] 46.7% make-exacts* [62] 38.2% loop [63] 15.1% ---------------------------------------------------------------------- for-loop [64] 4.4% apply-match [40] 7.4% for-loop [33] 88.2% [47] 4600(7.4%) 2914(4.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [57] 24.9% loop [71] 7.4% for-loop [64] 6.6% ---------------------------------------------------------------------- atab-add-altns [44] 14.0% for-loop [41] 86.0% [48] 1446(2.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [56] 100.0% ---------------------------------------------------------------------- taylor-alt [42] 100.0% [49] 1204(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [58] 100.0% ---------------------------------------------------------------------- apply-match [40] 100.0% [50] 422(0.7%) 200(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [59] 52.6% ---------------------------------------------------------------------- atab-pick-alt8 [43] 100.0% [51] 220(0.4%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [60] 100.0% ---------------------------------------------------------------------- substitute-e [52] 50.0% apply-match [40] 50.0% [52] 218(0.4%) 218(0.4%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [52] 50.0% ---------------------------------------------------------------------- expression-cost [45] 100.0% [53] 202(0.3%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [78] 100.0% ---------------------------------------------------------------------- apply-match [40] 100.0% [54] 200(0.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [61] 100.0% ---------------------------------------------------------------------- loop [46] 100.0% [55] 23580(38.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [63] 55.5% make-exacts* [62] 43.6% eval-prog [75] 0.9% ---------------------------------------------------------------------- atab-add-altn [48] 100.0% [56] 1446(2.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [72] 84.6% for-loop [66] 15.4% ---------------------------------------------------------------------- match-e [47] 100.0% [57] 1244(2.0%) 402(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [64] 51.6% list-cartesian-product [67] 16.1% ---------------------------------------------------------------------- for-loop [49] 27.8% location-do [58] 72.2% [58] 1204(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [58] 72.2% approximate9 [4] 27.8% ---------------------------------------------------------------------- for-loop [50] 100.0% [59] 222(0.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [71] 100.0% ---------------------------------------------------------------------- ??? [51] 100.0% [60] 220(0.4%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [65] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [61] 200(0.3%) 200(0.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- loop [55] 34.8% loop [46] 65.2% [62] 29532(47.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [68] 58.1% loop [71] 41.9% ---------------------------------------------------------------------- loop [46] 36.8% loop [55] 63.2% [63] 20718(33.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [68] 100.0% ---------------------------------------------------------------------- match-e [47] 38.6% for-loop [57] 61.4% [64] 1046(1.7%) 444(0.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [47] 38.4% ??? [70] 19.1% ---------------------------------------------------------------------- extract-alt [21] 47.6% best-alt [60] 52.4% [65] 420(0.7%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [69] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [56] 100.0% [66] 222(0.4%) 222(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- for-loop [57] 100.0% [67] 200(0.3%) 200(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- f6 [81] 2.6% make-exacts* [62] 44.1% loop [63] 53.3% [68] 38894(62.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [71] 96.2% f6 [81] 1.3% ??? [77] 1.2% parse-loop12 [82] 0.8% ??? [76] 0.5% ---------------------------------------------------------------------- loop [65] 100.0% [69] 420(0.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [72] 100.0% ---------------------------------------------------------------------- for-loop [64] 100.0% [70] 200(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [73] 100.0% ---------------------------------------------------------------------- ??? [77] 0.0% loop! [59] 0.0% parse-loop12 [82] 0.1% extract-alt [21] 0.6% make-exacts* [62] 0.7% match-e [47] 0.9% map [68] 1.7% loop [71] 96.0% [71] 51476(83.2%) 896(1.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [71] 96.0% ??? [77] 2.3% simplify [3] 0.6% ??? [76] 0.1% ??? [95] 0.0% bf* [86] 0.0% real->bigfloat [80] 0.0% ??? [90] 0.0% ---------------------------------------------------------------------- composed [69] 25.5% best-and-tied-at-points [56] 74.5% [72] 1644(2.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [74] 75.7% eval-prog [75] 24.3% ---------------------------------------------------------------------- ??? [70] 100.0% [73] 200(0.3%) 200(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- errors [72] 100.0% [74] 1244(2.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [77] 100.0% ---------------------------------------------------------------------- loop [55] 35.1% errors [72] 64.9% [75] 616(1.0%) 616(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- map [68] 16.6% loop [71] 83.4% [76] 422(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [78] 100.0% ---------------------------------------------------------------------- map [68] 0.9% for-loop [74] 2.4% loop [71] 96.7% [77] 51494(83.2%) 1080(1.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 85.3% real->bigfloat [80] 9.0% loop [71] 3.6% ---------------------------------------------------------------------- ??? [85] 2.0% compile [53] 4.7% for-loop [15] 7.5% ??? [22] 8.4% localize-error [28] 8.6% ??? [84] 9.4% ??? [5] 9.5% loop [11] 13.0% ??? [83] 15.8% ??? [76] 20.9% [78] 1428(2.3%) 202(0.3%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [82] 25.9% ??? [83] 15.8% ??? [5] 13.0% simplify [20] 13.0% ??? [84] 9.4% ??? [7] 7.5% ??? [6] 4.8% f6 [81] 3.7% ??? [85] 2.0% ---------------------------------------------------------------------- ??? [77] 100.0% [79] 43926(71.0%) 2548(4.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 71.6% bf* [86] 14.0% ...higher-order.rkt:373:33 [87] 8.1% ---------------------------------------------------------------------- loop [71] 16.8% ??? [77] 83.2% [80] 5572(9.0%) 4088(6.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 26.6% ---------------------------------------------------------------------- approximate9 [4] 4.2% f6 [81] 8.3% hash-ref! [78] 17.3% map [68] 20.6% simplify [20] 49.7% [81] 1214(2.0%) 202(0.3%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [68] 62.7% f6 [81] 8.3% combine-mterms [89] 8.2% taylor [88] 4.2% ---------------------------------------------------------------------- map [68] 48.8% hash-ref! [78] 51.2% [82] 824(1.3%) 402(0.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [71] 51.2% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [83] 804(1.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [78] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [84] 202(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [78] 100.0% ---------------------------------------------------------------------- hash-ref! [78] 100.0% [85] 202(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [78] 100.0% ---------------------------------------------------------------------- loop [71] 3.3% ??? [79] 96.7% [86] 6352(10.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [87] 3578(5.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 88.0% ??? [95] 12.0% ---------------------------------------------------------------------- f6 [81] 100.0% [88] 202(0.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [92] 100.0% ---------------------------------------------------------------------- f6 [81] 100.0% [89] 198(0.3%) 198(0.3%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 ---------------------------------------------------------------------- loop [71] 0.6% bf* [86] 16.7% ??? [79] 82.7% [90] 38000(61.4%) 21542(34.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 24.5% bflog [94] 12.4% ??? [96] 6.4% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [87]100.0% [91] 3148(5.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 100.0% ---------------------------------------------------------------------- taylor [88] 100.0% [92] 202(0.3%) 202(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- ??? [90] 100.0% [93] 9308(15.0%) 7990(12.9%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 14.2% ---------------------------------------------------------------------- ??? [90] 100.0% [94] 4700(7.6%) 3028(4.9%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 35.6% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [87] 10.1% loop [71] 16.0% ??? [91] 73.9% [95] 4260(6.9%) 200(0.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 95.3% ---------------------------------------------------------------------- ??? [90] 37.6% ??? [95] 62.4% [96] 6510(10.5%) 1736(2.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 73.3% ---------------------------------------------------------------------- bfmul [93] 29.5% real->bigfloat [80] 33.2% bflog [94] 37.4% [97] 4474(7.2%) 4474(7.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [96] 100.0% [98] 4774(7.7%) 2934(4.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 38.5% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 1840(3.0%) 1840(3.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------