Profiling results ----------------- Total cpu time observed: 84004ms (out of 85128ms) Number of samples taken: 350 (once every 240ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 97 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [27] 100.0% [1] 81406(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [2] 8586(10.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 78.1% loop [33] 14.7% get-final-combination [11] 4.7% setup-prog [12] 2.5% ---------------------------------------------------------------------- location-do [39] 100.0% [3] 644(0.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [9] 100.0% ---------------------------------------------------------------------- hash-ref! [65] 100.0% [4] 644(0.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f66 [49] 100.0% ---------------------------------------------------------------------- hash-ref! [65] 100.0% [5] 644(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [10] 100.0% ---------------------------------------------------------------------- hash-ref! [65] 100.0% [6] 202(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.2% [7] 82032(97.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 6706(8.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ---------------------------------------------------------------------- approximate9 [3] 100.0% [9] 644(0.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [10] 644(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [65] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 400(0.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 216(0.3%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [16] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [13] 202(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [65] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [14] 6706(8.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 52.8% finalize-iter! [18] 21.6% gen-series! [19] 9.6% localize-error [20] 6.5% choose-best-alt! [21] 6.3% gen-rewrites! [22] 3.3% ---------------------------------------------------------------------- get-final-combination [11] 100.0% [15] 400(0.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [54] 100.0% ---------------------------------------------------------------------- setup-prog [12] 100.0% [16] 216(0.3%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [59] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [17] 3538(4.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [18] 1446(1.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [19] 644(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [20] 434(0.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [65] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [21] 424(0.5%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [24] 100.0% ---------------------------------------------------------------------- run-iter! [14] 100.0% [22] 220(0.3%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [26] 100.0% ---------------------------------------------------------------------- simplify! [17] 100.0% [23] 3538(4.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 100.0% ---------------------------------------------------------------------- choose-best-alt! [21] 22.7% finalize-iter! [18] 77.3% [24] 1870(2.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [28] 66.5% atab-pick-alt8 [30] 22.7% atab-add-altns [32] 10.8% ---------------------------------------------------------------------- gen-series! [19] 100.0% [25] 644(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [29] 100.0% ---------------------------------------------------------------------- gen-rewrites! [22] 100.0% [26] 220(0.3%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [31] 100.0% ---------------------------------------------------------------------- for-loop [23] 1.4% run [7] 49.0% [27] 83092(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.3% loop [33] 45.7% run-improve58 [2] 4.6% simplify [59] 1.4% ---------------------------------------------------------------------- ??? [24] 100.0% [28] 1244(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [34] 100.0% ---------------------------------------------------------------------- for-loop [25] 100.0% [29] 644(0.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% ---------------------------------------------------------------------- ??? [24] 100.0% [30] 424(0.5%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [36] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [31] 220(0.3%) 220(0.3%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 ---------------------------------------------------------------------- ??? [24] 100.0% [32] 202(0.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [34] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.7% ??? [27] 98.3% [33] 75770(90.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [37] 39.3% make-exacts* [43] 30.4% loop [42] 30.0% ---------------------------------------------------------------------- atab-add-altns [32] 14.0% for-loop [28] 86.0% [34] 1446(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [38] 72.1% override-at-pnts [41] 27.9% ---------------------------------------------------------------------- taylor-alt [29] 100.0% [35] 644(0.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [39] 100.0% ---------------------------------------------------------------------- atab-pick-alt8 [30] 100.0% [36] 424(0.5%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [40] 100.0% ---------------------------------------------------------------------- loop [33] 100.0% [37] 29788(35.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [42] 60.8% make-exacts* [43] 37.7% eval-prog [52] 0.7% map [50] 0.7% ---------------------------------------------------------------------- atab-add-altn [34] 100.0% [38] 1042(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [48] 80.8% for-loop [46] 19.2% ---------------------------------------------------------------------- for-loop [35] 41.5% location-do [39] 58.5% [39] 644(0.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [39] 58.5% approximate9 [3] 41.5% ---------------------------------------------------------------------- ??? [36] 100.0% [40] 424(0.5%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 argmins [44] 52.4% loop [45] 47.6% ---------------------------------------------------------------------- atab-add-altn [34] 100.0% [41] 404(0.5%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [48] 100.0% ---------------------------------------------------------------------- loop [37] 44.3% loop [33] 55.7% [42] 40856(48.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [50] 64.6% loop [54] 35.4% ---------------------------------------------------------------------- loop [37] 32.8% loop [33] 67.2% [43] 34276(40.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [50] 54.3% loop [54] 45.7% ---------------------------------------------------------------------- best-alt [40] 100.0% [44] 222(0.3%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [47] 100.0% ---------------------------------------------------------------------- best-alt [40] 100.0% [45] 202(0.2%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [47] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [38] 100.0% [46] 200(0.2%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [55] 100.0% ---------------------------------------------------------------------- loop [45] 31.3% f66 [49] 34.4% argmins [44] 34.4% [47] 646(0.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [48] 65.6% f66 [49] 34.4% ---------------------------------------------------------------------- override-at-pnts [41] 24.2% composed [47] 25.4% best-and-tied-at-points [38] 50.4% [48] 1670(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [51] 86.8% eval-prog [52] 13.2% ---------------------------------------------------------------------- composed [47] 5.7% map [50] 5.7% append-map [53] 17.2% simplify [4] 71.3% [49] 644(0.8%) 0(0.0%) f66 ...t/collects/racket/match/compiler.rkt:499:40 map [50] 71.3% append-map [53] 23.0% composed [47] 5.7% ---------------------------------------------------------------------- loop [37] 0.5% f66 [49] 1.4% make-exacts* [43] 40.6% loop [42] 57.5% [50] 45854(54.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [54] 97.6% parse-loop12 [73] 0.9% ??? [58] 0.5% f66 [49] 0.5% loop [57] 0.5% ---------------------------------------------------------------------- errors [48] 100.0% [51] 1450(1.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [58] 86.1% ??? [55] 13.9% ---------------------------------------------------------------------- errors [48] 50.0% loop [37] 50.0% [52] 440(0.5%) 220(0.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [56] 50.0% ---------------------------------------------------------------------- f66 [49] 100.0% [53] 222(0.3%) 222(0.3%) append-map ...acket/collects/racket/list.rkt:565:2 f66 [49] 75.0% ---------------------------------------------------------------------- ??? [58] 0.0% loop [42] 0.0% parse-loop12 [73] 0.3% extract-alt [15] 0.4% make-exacts* [43] 0.6% map [50] 1.5% loop [54] 97.2% [54] 75942(90.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [54] 97.2% ??? [58] 2.1% simplify [59] 0.4% ??? [61] 0.3% real->bigfloat [63] 0.0% ->flonum [60] 0.0% ??? [79] 0.0% ---------------------------------------------------------------------- for-loop [46] 49.8% for-loop [51] 50.2% [55] 402(0.5%) 402(0.5%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ---------------------------------------------------------------------- eval-prog [52] 100.0% [56] 220(0.3%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 constant? [90] 100.0% ---------------------------------------------------------------------- map [50] 0.2% loop [57] 99.8% [57] 216(0.3%) 216(0.3%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [57] 99.8% ---------------------------------------------------------------------- map [50] 0.3% for-loop [51] 1.7% loop [54] 98.0% [58] 73820(87.9%) 2308(2.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [62] 87.5% real->bigfloat [63] 5.0% loop [54] 2.1% ??? [85] 1.9% ---------------------------------------------------------------------- simplify-alt [16] 5.2% loop [54] 9.6% ??? [27] 85.2% [59] 4154(4.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [68] 65.7% simplify-expr [64] 29.0% loop [67] 5.3% ---------------------------------------------------------------------- loop [54] 100.0% [60] 2760(3.3%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [88] 56.7% ??? [71] 25.9% ??? [66] 17.5% ---------------------------------------------------------------------- loop [54] 100.0% [61] 434(0.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [65] 100.0% ---------------------------------------------------------------------- ??? [58] 100.0% [62] 64590(76.9%) 1228(1.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [79] 88.6% bf* [77] 3.3% bfcube [69] 2.1% ...higher-order.rkt:373:33 [70] 1.7% bffma [72] 1.4% ...ow-val-first.rkt:357:18 [78] 0.7% ??? [71] 0.3% ---------------------------------------------------------------------- loop [54] 29.9% ??? [58] 70.1% [63] 5278(6.3%) 4472(5.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [89] 15.3% ---------------------------------------------------------------------- simplify [59] 100.0% [64] 1204(1.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [68] 100.0% ---------------------------------------------------------------------- for-loop [13] 3.1% for-loop [10] 10.6% ??? [74] 10.6% loop [9] 10.6% localize-error [20] 13.4% ??? [75] 24.7% ??? [61] 26.8% [65] 1078(1.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [73] 40.3% ??? [75] 24.7% ??? [74] 10.6% ??? [5] 10.6% simplify [4] 10.6% ??? [6] 3.1% ---------------------------------------------------------------------- ->flonum [60] 100.0% [66] 482(0.6%) 240(0.3%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [89] 50.2% ---------------------------------------------------------------------- simplify [59] 100.0% [67] 222(0.3%) 222(0.3%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 ---------------------------------------------------------------------- simplify-expr [64] 30.6% simplify [59] 69.4% [68] 3932(4.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [76] 100.0% ---------------------------------------------------------------------- ??? [62] 100.0% [69] 1332(1.6%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [77] 67.1% ...ow-val-first.rkt:357:18 [78] 32.9% ---------------------------------------------------------------------- ??? [62] 100.0% [70] 1068(1.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [81] 60.9% ??? [85] 39.1% ---------------------------------------------------------------------- ??? [62] 23.7% ->flonum [60] 76.3% [71] 936(1.1%) 936(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [62] 100.0% [72] 908(1.1%) 212(0.3%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [77] 52.4% ...ow-val-first.rkt:357:18 [78] 24.2% ---------------------------------------------------------------------- parse-loop12 [73] 15.7% map [50] 33.6% hash-ref! [65] 50.7% [73] 856(1.0%) 422(0.5%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [54] 42.3% parse-loop12 [73] 15.7% ??? [79] 8.4% ---------------------------------------------------------------------- hash-ref! [65] 100.0% [74] 644(0.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [65] 100.0% ---------------------------------------------------------------------- hash-ref! [65] 100.0% [75] 644(0.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [65] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [68] 100.0% [76] 3932(4.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [80] 94.9% apply-match [82] 5.1% ---------------------------------------------------------------------- bffma [72] 13.5% bfcube [69] 25.4% ??? [62] 61.1% [77] 3524(4.2%) 238(0.3%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [79] 93.2% ---------------------------------------------------------------------- bffma [72] 19.7% bfcube [69] 39.2% ??? [62] 41.1% [78] 1118(1.3%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [81] 100.0% ---------------------------------------------------------------------- parse-loop12 [73] 0.4% loop [54] 0.4% bf* [77] 5.4% ??? [62] 93.9% [79] 60938(72.5%) 43054(51.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [83] 11.8% bfsin [84] 9.6% ??? [88] 7.9% ---------------------------------------------------------------------- for-loop [80] 50.0% one-iter [76] 50.0% [80] 3732(4.4%) 1022(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [80] 50.0% match-e [86] 36.3% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [70] 36.8% ...ow-val-first.rkt:357:18 [78] 63.2% [81] 1768(2.1%) 198(0.2%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [85] 88.8% ---------------------------------------------------------------------- one-iter [76] 100.0% [82] 200(0.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [87] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [83] 7210(8.6%) 6220(7.4%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 13.7% ---------------------------------------------------------------------- ??? [79] 100.0% [84] 5866(7.0%) 4338(5.2%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [89] 26.0% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [70] 12.4% ??? [58] 41.3% ??? [81] 46.4% [85] 3384(4.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [88] 100.0% ---------------------------------------------------------------------- for-loop [80] 100.0% [86] 2710(3.2%) 2308(2.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 constant? [90] 7.5% for-loop [91] 7.4% ---------------------------------------------------------------------- apply-match [82] 100.0% [87] 200(0.2%) 200(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 ---------------------------------------------------------------------- ->flonum [60] 16.0% ??? [85] 34.7% ??? [79] 49.3% [88] 9756(11.6%) 5156(6.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 42.3% ??? [93] 4.8% ---------------------------------------------------------------------- ??? [66] 6.8% real->bigfloat [63] 22.6% bfadd [83] 27.8% bfsin [84] 42.8% [89] 3566(4.2%) 3566(4.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- match-e [86] 47.9% inductor [56] 52.1% [90] 422(0.5%) 422(0.5%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- match-e [86] 100.0% [91] 200(0.2%) 200(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- ??? [88] 100.0% [92] 4128(4.9%) 1986(2.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 51.9% ---------------------------------------------------------------------- ??? [88] 100.0% [93] 472(0.6%) 238(0.3%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [95] 49.6% ---------------------------------------------------------------------- ??? [92] 100.0% [94] 2142(2.5%) 2142(2.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- ??? [93] 100.0% [95] 234(0.3%) 234(0.3%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ----------------------------------------------------------------------