Profiling results ----------------- Total cpu time observed: 17412ms (out of 17688ms) Number of samples taken: 88 (once every 198ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 102 hidden) ==================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ==================================================================== ??? [32] 100.0% [1] 17256(99.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% -------------------------------------------------------------------- ??? [32] 100.0% [2] 11338(65.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 98.4% get-final-combination [11] 1.6% -------------------------------------------------------------------- ??? [32] 100.0% [3] 9866(56.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 54.2% for-loop [9] 33.0% iterate-egraph!5 [13] 10.8% loop [14] 2.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [4] 240(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [10] 100.0% -------------------------------------------------------------------- loop [71] 100.0% [5] 220(1.3%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [72] 100.0% -------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 17256(99.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [32] 100.0% -------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 11160(64.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% -------------------------------------------------------------------- simplify [3] 100.0% [8] 5346(30.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 89.4% loop [14] 10.6% -------------------------------------------------------------------- simplify [3] 100.0% [9] 3254(18.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 95.1% loop [14] 4.9% -------------------------------------------------------------------- ??? [4] 100.0% [10] 240(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [72] 100.0% -------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 178(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% -------------------------------------------------------------------- for-loop [7] 100.0% [12] 11160(64.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 88.4% finalize-iter! [19] 5.3% gen-series! [20] 4.3% localize-error [21] 2.0% -------------------------------------------------------------------- simplify [3] 11.9% for-loop [9] 34.6% simplify-expr [8] 53.5% [13] 8938(51.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 97.8% *simplify-rules* [22] 2.2% -------------------------------------------------------------------- for-loop [9] 17.0% simplify [3] 21.8% simplify-expr [8] 61.2% [14] 928(5.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [18] 100.0% -------------------------------------------------------------------- get-final-combination [11] 100.0% [15] 178(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [23] 100.0% -------------------------------------------------------------------- run-iter! [12] 100.0% [16] 9866(56.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% -------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [17] 8738(50.2%) 198(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 62.5% loop [26] 32.9% loop [30] 2.3% -------------------------------------------------------------------- loop [14] 100.0% [18] 928(5.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% -------------------------------------------------------------------- run-iter! [12] 100.0% [19] 594(3.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% -------------------------------------------------------------------- run-iter! [12] 100.0% [20] 480(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% -------------------------------------------------------------------- run-iter! [12] 100.0% [21] 220(1.3%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [72] 100.0% -------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [22] 200(1.1%) 200(1.1%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 -------------------------------------------------------------------- extract-alt [15] 100.0% [23] 178(1.0%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [31] 100.0% -------------------------------------------------------------------- simplify! [16] 100.0% [24] 9866(56.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [32] 100.0% -------------------------------------------------------------------- for-loop [25] 48.2% one-iter [17] 51.8% [25] 5462(31.4%) 1346(7.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 48.2% match-e [41] 37.7% -------------------------------------------------------------------- one-iter [17] 100.0% [26] 2878(16.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [33] 100.0% -------------------------------------------------------------------- pass [18] 100.0% [27] 928(5.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [34] 56.7% for-loop [37] 21.8% loop [39] 21.6% -------------------------------------------------------------------- finalize-iter! [19] 100.0% [28] 594(3.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 66.3% atab-add-altns [38] 33.7% -------------------------------------------------------------------- gen-series! [20] 100.0% [29] 480(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% -------------------------------------------------------------------- one-iter [17] 100.0% [30] 200(1.1%) 200(1.1%) loop ...ket/collects/racket/private/list.rkt:264:4 -------------------------------------------------------------------- argmins [23] 100.0% [31] 178(1.0%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [60] 100.0% -------------------------------------------------------------------- for-loop [24] 19.0% run [6] 40.3% [32] 17412(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.3% run-improve58 [2] 23.3% simplify [3] 19.0% loop [40] 17.4% -------------------------------------------------------------------- loop [26] 100.0% [33] 2878(16.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [42] 31.5% match-e [41] 18.5% for-loop [45] 18.5% loop! [76] 13.3% substitute-e [47] 12.6% mk-enode! [54] 5.6% -------------------------------------------------------------------- for-loop [27] 100.0% [34] 526(3.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [43] 100.0% -------------------------------------------------------------------- for-loop [29] 100.0% [35] 480(2.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [46] 100.0% -------------------------------------------------------------------- ??? [28] 100.0% [36] 394(2.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% -------------------------------------------------------------------- for-loop [27] 100.0% [37] 202(1.2%) 202(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 -------------------------------------------------------------------- ??? [28] 100.0% [38] 200(1.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [44] 100.0% -------------------------------------------------------------------- for-loop [27] 100.0% [39] 200(1.1%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [43] 100.0% -------------------------------------------------------------------- ??? [32] 100.0% [40] 6074(34.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [57] 58.5% loop [48] 41.5% -------------------------------------------------------------------- apply-match [33] 7.6% for-loop [59] 12.1% for-loop [25] 80.2% [41] 4648(26.7%) 2252(12.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [49] 28.9% list-cartesian-product [53] 11.8% for-loop [59] 7.4% loop [71] 3.4% variable? [56] 2.2% -------------------------------------------------------------------- apply-match [33] 100.0% [42] 906(5.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 82.6% loop! [76] 17.4% -------------------------------------------------------------------- loop [39] 27.5% argmin [34] 72.5% [43] 726(4.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [51] 100.0% -------------------------------------------------------------------- atab-add-altns [38] 33.7% for-loop [36] 66.3% [44] 594(3.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [52]100.0% -------------------------------------------------------------------- apply-match [33] 100.0% [45] 532(3.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [76] 100.0% -------------------------------------------------------------------- taylor-alt [35] 100.0% [46] 480(2.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [55] 100.0% -------------------------------------------------------------------- apply-match [33] 100.0% [47] 364(2.1%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [54] 100.0% -------------------------------------------------------------------- loop [40] 100.0% [48] 2520(14.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [58] 75.3% make-exacts* [57] 24.7% -------------------------------------------------------------------- match-e [41] 100.0% [49] 1544(8.9%) 788(4.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [59] 39.4% curry* [64] 10.1% loop [71] 6.5% -------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [50] 748(4.3%) 178(1.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [61] 76.2% -------------------------------------------------------------------- expression-cost [43] 100.0% [51] 726(4.2%) 358(2.1%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [72] 50.7% -------------------------------------------------------------------- atab-add-altn [44] 100.0% [52] 594(3.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [60] 100.0% -------------------------------------------------------------------- list-cartesian-product [53] 16.2% match-e [41] 83.8% [53] 550(3.2%) 550(3.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [53] 16.2% -------------------------------------------------------------------- apply-match [33] 30.8% substitute-e [47] 69.2% [54] 526(3.0%) 328(1.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [63] 37.6% -------------------------------------------------------------------- location-do [55] 25.0% for-loop [46] 75.0% [55] 480(2.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [62] 75.0% location-do [55] 25.0% -------------------------------------------------------------------- match-e [41] 100.0% [56] 202(1.2%) 202(1.2%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 -------------------------------------------------------------------- loop [48] 14.9% loop [40] 85.1% [57] 4176(24.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [65] 55.0% loop [71] 45.0% -------------------------------------------------------------------- loop [48] 100.0% [58] 1898(10.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [65] 100.0% -------------------------------------------------------------------- match-e [41] 37.8% for-loop [49] 62.2% [59] 1318(7.6%) 190(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [41] 85.6% -------------------------------------------------------------------- composed [31] 23.1% best-and-tied-at-points [52] 76.9% [60] 772(4.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [67] 52.1% eval-prog [68] 47.9% -------------------------------------------------------------------- update-leader! [50] 100.0% [61] 570(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [66] 100.0% -------------------------------------------------------------------- location-do [55] 100.0% [62] 480(2.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [69] 50.0% f94 [74] 50.0% -------------------------------------------------------------------- mk-enode! [54] 100.0% [63] 198(1.1%) 198(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------- for-loop [49] 100.0% [64] 156(0.9%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [70] 100.0% -------------------------------------------------------------------- f94 [74] 5.4% loop [58] 42.8% make-exacts* [57] 51.8% [65] 4434(25.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [71] 91.3% f94 [74] 5.4% ??? [75] 3.3% -------------------------------------------------------------------- for-loop [61] 100.0% [66] 570(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [73] 100.0% -------------------------------------------------------------------- errors [60] 100.0% [67] 402(2.3%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [75] 100.0% -------------------------------------------------------------------- errors [60] 100.0% [68] 370(2.1%) 370(2.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 -------------------------------------------------------------------- approximate9 [62] 100.0% [69] 240(1.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [72] 100.0% -------------------------------------------------------------------- curry* [64] 100.0% [70] 156(0.9%) 156(0.9%) procedure-arity ...ket/private/norm-arity.rkt:7:27 -------------------------------------------------------------------- ??? [75] 0.0% make-exacts* [57] 0.1% parse-loop12 [81] 0.1% loop! [76] 1.2% match-e [41] 2.2% for-loop [49] 2.9% map [65] 5.1% loop [71] 88.4% [71] 6996(40.2%) 572(3.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [71] 88.4% ??? [75] 5.1% loop! [76] 1.2% ??? [5] 0.1% ??? [94] 0.1% real->bigfloat [83] 0.0% ->flonum [85] 0.0% -------------------------------------------------------------------- for-loop [10] 5.8% ??? [79] 5.8% loop [69] 5.8% ??? [80] 11.6% ??? [82] 12.1% ??? [5] 13.3% localize-error [21] 13.3% compile [51] 32.4% [72] 828(4.8%) 368(2.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [81] 26.6% ??? [82] 12.1% ??? [80] 11.6% ??? [79] 5.8% ??? [4] 5.8% simplify [91] 5.8% -------------------------------------------------------------------- for-loop [66] 100.0% [73] 570(3.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [77] 100.0% -------------------------------------------------------------------- map [65] 50.0% approximate9 [62] 50.0% [74] 240(1.4%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [65] 50.0% taylor-invert [78] 50.0% -------------------------------------------------------------------- map [65] 2.7% for-loop [67] 7.3% loop [71] 90.0% [75] 5496(31.6%) 188(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 real->bigfloat [83] 45.4% ??? [84] 30.3% ??? [88] 7.8% ->flonum [85] 7.3% loop [71] 5.8% -------------------------------------------------------------------- merge-egraph-nodes! [42] 7.4% loop [71] 22.9% for-loop [45] 34.1% apply-match [33] 35.6% [76] 1072(6.2%) 314(1.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [86] 62.5% loop [71] 22.9% -------------------------------------------------------------------- hash-update! [73] 100.0% [77] 570(3.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [87] 100.0% -------------------------------------------------------------------- f94 [74] 100.0% [78] 240(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [89] 100.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [79] 240(1.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [72] 100.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [80] 240(1.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [72] 100.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [81] 220(1.3%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [71] 100.0% -------------------------------------------------------------------- hash-ref! [72] 100.0% [82] 200(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [72] 100.0% -------------------------------------------------------------------- loop [71] 11.4% ??? [75] 88.6% [83] 2816(16.2%) 2064(11.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 26.7% -------------------------------------------------------------------- ??? [75] 100.0% [84] 1664(9.6%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [90] 87.4% ??? [94] 12.6% -------------------------------------------------------------------- ??? [75] 34.4% loop [71] 65.6% [85] 1168(6.7%) 530(3.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [92] 34.4% ??? [98] 20.2% -------------------------------------------------------------------- loop! [76] 100.0% [86] 758(4.4%) 758(4.4%) custom-set-union ...et/private/set-types.rkt:168:0 -------------------------------------------------------------------- ??? [77] 100.0% [87] 570(3.3%) 392(2.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [93] 31.2% -------------------------------------------------------------------- ??? [75] 100.0% [88] 426(2.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% -------------------------------------------------------------------- taylor-invert [78] 100.0% [89] 240(1.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [91] 100.0% -------------------------------------------------------------------- ??? [84] 100.0% [90] 1454(8.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [94] 100.0% -------------------------------------------------------------------- first-nonzero-exp [89] 50.0% hash-ref! [72] 50.0% [91] 480(2.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [96] 50.0% debug7 [95] 50.0% -------------------------------------------------------------------- ->flonum [85] 100.0% [92] 402(2.3%) 402(2.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 -------------------------------------------------------------------- for-loop [87] 100.0% [93] 178(1.0%) 178(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------- ??? [84] 11.1% loop [71] 11.7% bf* [90] 77.2% [94] 1884(10.8%) 174(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [97] 71.1% ??? [98] 19.6% -------------------------------------------------------------------- simplify [91] 100.0% [95] 240(1.4%) 240(1.4%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 -------------------------------------------------------------------- simplify [91] 100.0% [96] 240(1.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [99] 100.0% -------------------------------------------------------------------- ??? [94] 100.0% [97] 1340(7.7%) 974(5.6%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [100] 27.3% -------------------------------------------------------------------- ->flonum [85] 22.9% ??? [94] 35.9% ??? [88] 41.3% [98] 1032(5.9%) 808(4.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 21.7% -------------------------------------------------------------------- debug-print [96] 100.0% [99] 240(1.4%) 240(1.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 -------------------------------------------------------------------- bfsub [97] 32.7% real->bigfloat [83] 67.3% [100] 1118(6.4%) 1118(6.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------- ??? [98] 100.0% [101] 224(1.3%) 224(1.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 --------------------------------------------------------------------