Profiling results ----------------- Total cpu time observed: 22716ms (out of 23028ms) Number of samples taken: 94 (once every 242ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 101 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [36] 100.0% [1] 21578(95.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ---------------------------------------------------------------------- ??? [36] 100.0% [2] 7382(32.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 92.0% loop [43] 8.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [3] 4178(18.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [69] 100.0% ---------------------------------------------------------------------- ??? [36] 100.0% [4] 3984(17.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [20] 45.2% simplify-expr [14] 27.5% for-loop [17] 22.8% loop [18] 4.5% ---------------------------------------------------------------------- location-do [53] 100.0% [5] 2128(9.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [13] 88.6% f6 [27] 11.4% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [6] 1960(8.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [7] 1078(4.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [8] 924(4.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 100.0% ---------------------------------------------------------------------- f6 [27] 100.0% [9] 242(1.1%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [73] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [10] 21578(95.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [36] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 6790(29.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [12] 1960(8.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [73] 87.7% simplify [21] 12.3% ---------------------------------------------------------------------- approximate9 [5] 100.0% [13] 1886(8.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [73] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [14] 1096(4.8%) 202(0.9%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 81.6% ---------------------------------------------------------------------- ??? [7] 100.0% [15] 1078(4.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [22] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [16] 924(4.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [73] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [17] 908(4.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [20] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [18] 178(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [23] 100.0% ---------------------------------------------------------------------- for-loop [11] 100.0% [19] 6790(29.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [24] 61.8% gen-series! [26] 31.3% choose-best-alt! [28] 2.4% localize-error [29] 2.3% finalize-iter! [30] 2.2% ---------------------------------------------------------------------- simplify-expr [14] 24.8% for-loop [17] 25.2% simplify [4] 50.0% [20] 3604(15.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [25] 100.0% ---------------------------------------------------------------------- for-loop [12] 11.4% hash-ref! [73] 88.6% [21] 2128(9.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [74] 58.6% f6 [27] 41.4% ---------------------------------------------------------------------- for-loop [15] 100.0% [22] 1078(4.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [73] 100.0% ---------------------------------------------------------------------- loop [18] 100.0% [23] 178(0.8%) 178(0.8%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 ---------------------------------------------------------------------- run-iter! [19] 100.0% [24] 4196(18.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [25] 3604(15.9%) 200(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 58.2% loop [34] 31.6% apply-match [39] 4.6% ---------------------------------------------------------------------- run-iter! [19] 100.0% [26] 2128(9.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ---------------------------------------------------------------------- f6 [27] 4.7% approximate9 [5] 4.7% map [64] 9.3% parse-loop50 [74] 11.5% hash-ref! [73] 15.2% simplify [21] 54.7% [27] 1040(4.6%) 242(1.1%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [64] 86.0% f6 [27] 4.7% loop [9] 4.7% ---------------------------------------------------------------------- run-iter! [19] 100.0% [28] 162(0.7%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [35] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [29] 158(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [73] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [30] 146(0.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [35] 100.0% ---------------------------------------------------------------------- simplify! [24] 100.0% [31] 4196(18.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [36] 94.9% debug-print [40] 5.1% ---------------------------------------------------------------------- gen-series! [26] 100.0% [32] 2128(9.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% ---------------------------------------------------------------------- for-loop [33] 50.0% one-iter [25] 50.0% [33] 2098(9.2%) 310(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 50.0% match-e [38] 42.6% ---------------------------------------------------------------------- one-iter [25] 100.0% [34] 1140(5.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% ---------------------------------------------------------------------- finalize-iter! [30] 47.4% choose-best-alt! [28] 52.6% [35] 308(1.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 atab-pick-alt8 [41] 52.6% for-loop [42] 47.4% ---------------------------------------------------------------------- for-loop [31] 6.2% run [10] 45.7% [36] 22276(98.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.7% loop [43] 33.9% run-improve58 [2] 14.2% simplify [4] 6.2% ---------------------------------------------------------------------- for-loop [32] 100.0% [37] 2128(9.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% ---------------------------------------------------------------------- for-loop [49] 4.6% for-loop [33] 95.4% [38] 1788(7.9%) 786(3.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 36.0% list-cartesian-product [47] 20.0% for-loop [49] 4.6% ---------------------------------------------------------------------- one-iter [25] 12.7% loop [34] 87.3% [39] 1306(5.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [45] 73.7% loop! [48] 26.3% ---------------------------------------------------------------------- for-loop [31] 100.0% [40] 212(0.9%) 212(0.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- ??? [35] 100.0% [41] 162(0.7%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [50] 100.0% ---------------------------------------------------------------------- ??? [35] 100.0% [42] 146(0.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [51] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 3.8% ??? [36] 96.2% [43] 15486(68.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [52] 56.1% make-exacts* [59] 27.5% loop [60] 10.8% for-loop [55] 5.6% ---------------------------------------------------------------------- taylor-alt [37] 100.0% [44] 2128(9.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 12.0% apply-match [39] 88.0% [45] 962(4.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [54] 88.0% merge-egraph-nodes! [45] 12.0% ---------------------------------------------------------------------- match-e [38] 100.0% [46] 644(2.8%) 422(1.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [69] 34.5% ---------------------------------------------------------------------- list-cartesian-product [47] 24.6% match-e [38] 75.4% [47] 358(1.6%) 182(0.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [47] 24.6% for-loop [56] 24.6% ---------------------------------------------------------------------- apply-match [39] 100.0% [48] 344(1.5%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [69] 100.0% ---------------------------------------------------------------------- match-e [38] 100.0% [49] 166(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 100.0% ---------------------------------------------------------------------- atab-pick-alt8 [41] 100.0% [50] 162(0.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [57] 100.0% ---------------------------------------------------------------------- for-loop [42] 100.0% [51] 146(0.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [58] 100.0% ---------------------------------------------------------------------- loop [43] 100.0% [52] 8688(38.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [59] 40.1% eval-prog [65] 32.7% loop [60] 27.1% ---------------------------------------------------------------------- for-loop [44] 35.5% location-do [53] 64.5% [53] 2128(9.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [53] 64.5% approximate9 [5] 35.5% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [54] 962(4.2%) 368(1.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [62] 61.7% ---------------------------------------------------------------------- loop [43] 100.0% [55] 866(3.8%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [61] 100.0% ---------------------------------------------------------------------- list-cartesian-product [47] 100.0% [56] 176(0.8%) 176(0.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- ??? [50] 100.0% [57] 162(0.7%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [63] 100.0% ---------------------------------------------------------------------- atab-add-altn [51] 100.0% [58] 146(0.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [72] 100.0% ---------------------------------------------------------------------- loop [52] 45.0% loop [43] 55.0% [59] 7750(34.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [64] 43.4% loop [69] 39.4% eval-prog [65] 17.2% ---------------------------------------------------------------------- loop [43] 41.5% loop [52] 58.5% [60] 4026(17.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [64] 100.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [61] 866(3.8%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [66] 100.0% ---------------------------------------------------------------------- update-leader! [54] 100.0% [62] 594(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 100.0% ---------------------------------------------------------------------- best-alt [57] 100.0% [63] 162(0.7%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [68] 100.0% ---------------------------------------------------------------------- parse-loop50 [74] 5.9% f6 [27] 10.5% make-exacts* [59] 38.1% loop [60] 45.5% [64] 8840(38.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 85.4% parse-loop50 [74] 11.9% f6 [27] 2.7% ---------------------------------------------------------------------- make-exacts* [59] 31.9% loop [52] 68.1% [65] 4178(18.4%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [73] 100.0% ---------------------------------------------------------------------- for-loop [61] 100.0% [66] 866(3.8%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [70] 100.0% ---------------------------------------------------------------------- for-loop [62] 100.0% [67] 594(2.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [71] 100.0% ---------------------------------------------------------------------- argmins [63] 100.0% [68] 162(0.7%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [72] 100.0% ---------------------------------------------------------------------- make-exacts* [59] 0.1% map [64] 0.7% loop! [48] 1.4% for-loop [46] 1.4% parse-loop50 [74] 2.8% ??? [3] 26.5% loop [69] 67.1% [69] 15792(69.5%) 344(1.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 67.1% hash-ref! [73] 26.5% parse-loop50 [74] 2.8% foldl [77] 1.4% ??? [78] 0.6% ??? [92] 0.1% ->flonum [87] 0.1% ---------------------------------------------------------------------- sample-double [66] 100.0% [70] 866(3.8%) 866(3.8%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ---------------------------------------------------------------------- for-loop [67] 100.0% [71] 594(2.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [75] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [58] 47.4% composed [68] 52.6% [72] 308(1.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [76] 100.0% ---------------------------------------------------------------------- localize-error [29] 2.4% for-loop [16] 3.0% for-loop [22] 3.1% loop [9] 3.7% ??? [80] 7.1% loop [13] 7.1% for-loop [12] 8.9% eval-prog [65] 17.2% loop [69] 47.4% [73] 6464(28.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 47.4% bigfloat-hash [79] 17.2% ??? [6] 12.6% ??? [80] 7.1% simplify [21] 7.1% ??? [7] 3.1% ??? [8] 3.0% f6 [27] 2.4% ---------------------------------------------------------------------- loop [69] 5.3% simplify [21] 15.1% map [64] 31.7% parse-loop50 [74] 47.9% [74] 1886(8.3%) 1664(7.3%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [74] 47.9% map [64] 6.5% f6 [27] 6.4% loop [69] 5.3% ---------------------------------------------------------------------- hash-update! [71] 100.0% [75] 594(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [81] 100.0% ---------------------------------------------------------------------- errors [72] 100.0% [76] 308(1.4%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [78] 100.0% ---------------------------------------------------------------------- loop [69] 100.0% [77] 222(1.0%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [82] 100.0% ---------------------------------------------------------------------- for-loop [76] 3.0% loop [69] 97.0% [78] 10180(44.8%) 610(2.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 64.5% real->bigfloat [85] 25.8% ??? [94] 2.1% ->flonum [87] 1.6% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [79] 4178(18.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [84] 64.0% bfcanonicalize [86] 36.0% ---------------------------------------------------------------------- hash-ref! [73] 100.0% [80] 1886(8.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [73] 100.0% ---------------------------------------------------------------------- ??? [75] 100.0% [81] 594(2.6%) 432(1.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [88] 27.3% ---------------------------------------------------------------------- foldl [77] 100.0% [82] 222(1.0%) 222(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- ??? [78] 100.0% [83] 6568(28.9%) 146(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 55.4% ...higher-order.rkt:373:33 [89] 23.3% bf* [90] 19.1% ---------------------------------------------------------------------- bigfloat-hash [79] 100.0% [84] 2672(11.8%) 1628(7.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ??? [98] 39.1% ---------------------------------------------------------------------- ??? [78] 100.0% [85] 2624(11.6%) 2624(11.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- bigfloat-hash [79] 100.0% [86] 1506(6.6%) 1506(6.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- ??? [78] 22.1% loop [69] 77.9% [87] 732(3.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [91] 72.7% ??? [97] 27.3% ---------------------------------------------------------------------- for-loop [81] 100.0% [88] 162(0.7%) 162(0.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ??? [83] 100.0% [89] 1528(6.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ---------------------------------------------------------------------- ??? [83] 100.0% [90] 1254(5.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ---------------------------------------------------------------------- ->flonum [87] 100.0% [91] 532(2.3%) 532(2.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- loop [69] 3.1% bf* [90] 24.8% ??? [83] 72.1% [92] 5052(22.2%) 1048(4.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [97] 41.8% bfexpt [95] 23.6% bfneg [96] 13.9% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89]100.0% [93] 1528(6.7%) 214(0.9%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 86.0% ---------------------------------------------------------------------- ??? [78] 14.1% ??? [93] 85.9% [94] 1530(6.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ---------------------------------------------------------------------- ??? [92] 100.0% [95] 1192(5.2%) 476(2.1%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 60.1% ---------------------------------------------------------------------- ??? [92] 100.0% [96] 702(3.1%) 496(2.2%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [98] 29.3% ---------------------------------------------------------------------- ->flonum [87] 5.2% ??? [94] 39.8% ??? [92] 54.9% [97] 3840(16.9%) 198(0.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 94.8% ---------------------------------------------------------------------- bfneg [96] 10.5% bfexpt [95] 36.4% sig+exp->bigfloat [84] 53.1% [98] 1966(8.7%) 1966(8.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [97] 100.0% [99] 3642(16.0%) 2208(9.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 39.4% ---------------------------------------------------------------------- ??? [99] 100.0% [100] 1434(6.3%) 1434(6.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------