Profiling results ----------------- Total cpu time observed: 107782ms (out of 108496ms) Number of samples taken: 468 (once every 230ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 102 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [42] 100.0% [1] 104418(96.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ----------------------------------------------------------------------- ??? [42] 100.0% [2] 13402(12.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 78.3% get-final-combination [13] 12.1% loop [48] 8.1% setup-prog [21] 1.4% ----------------------------------------------------------------------- simplify-alt [27] 2.2% loop [71] 15.8% ??? [42] 82.1% [3] 8926(8.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [23] 65.3% simplify-expr [12] 23.2% for-loop [14] 11.5% ----------------------------------------------------------------------- match-e [49] 100.0% [4] 1442(1.3%) 196(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [11] 79.4% loop [71] 7.0% ----------------------------------------------------------------------- location-do [57] 100.0% [5] 862(0.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-sqrt [17] 51.0% loop [18] 49.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [6] 662(0.6%) 220(0.2%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 66.8% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [7] 642(0.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [15] 68.8% debug7 [20] 31.2% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [8] 222(0.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.0% [9] 105494(97.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [42] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 10498(9.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [22] 100.0% ----------------------------------------------------------------------- match-e [49] 49.1% for-loop [4] 50.9% [11] 2448(2.3%) 200(0.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [49] 95.9% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 2070(1.9%) 200(0.2%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 90.3% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 1628(1.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [24] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [14] 1026(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 80.3% loop [25] 19.7% ----------------------------------------------------------------------- hash-ref! [80] 47.4% simplify [7] 52.6% [15] 840(0.8%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [68] 50.0% composed [40] 26.2% loop [26] 23.8% ----------------------------------------------------------------------- ??? [6] 100.0% [16] 442(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [80] 100.0% ----------------------------------------------------------------------- approximate9 [5] 100.0% [17] 440(0.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [80] 100.0% ----------------------------------------------------------------------- approximate9 [5] 100.0% [18] 422(0.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [80] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [19] 222(0.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [80] 100.0% ----------------------------------------------------------------------- simplify [7] 100.0% [20] 200(0.2%) 200(0.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ----------------------------------------------------------------------- run-improve58 [2] 100.0% [21] 192(0.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [27] 100.0% ----------------------------------------------------------------------- for-loop [10] 100.0% [22] 10498(9.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [29] 69.8% finalize-iter! [30] 13.8% gen-series! [31] 8.2% localize-error [32] 8.2% ----------------------------------------------------------------------- for-loop [14] 9.7% simplify-expr [12] 21.9% simplify [3] 68.4% [23] 8524(7.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [28] 100.0% ----------------------------------------------------------------------- get-final-combination [13] 100.0% [24] 1628(1.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [71] 86.5% argmins [33] 13.5% ----------------------------------------------------------------------- for-loop [14] 100.0% [25] 202(0.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [34] 100.0% ----------------------------------------------------------------------- f6 [15] 100.0% [26] 200(0.2%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [80] 100.0% ----------------------------------------------------------------------- setup-prog [21] 100.0% [27] 192(0.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [28] 8524(7.9%) 626(0.6%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [36] 75.9% loop [38] 12.1% apply-match [44] 4.7% ----------------------------------------------------------------------- run-iter! [22] 100.0% [29] 7326(6.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [35] 100.0% ----------------------------------------------------------------------- run-iter! [22] 100.0% [30] 1448(1.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [37] 100.0% ----------------------------------------------------------------------- run-iter! [22] 100.0% [31] 862(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [39] 100.0% ----------------------------------------------------------------------- run-iter! [22] 100.0% [32] 862(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [80] 100.0% ----------------------------------------------------------------------- extract-alt [24] 100.0% [33] 220(0.2%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [40] 100.0% ----------------------------------------------------------------------- loop [25] 100.0% [34] 202(0.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [41] 100.0% ----------------------------------------------------------------------- simplify! [29] 100.0% [35] 7326(6.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [42] 100.0% ----------------------------------------------------------------------- for-loop [36] 46.9% one-iter [28] 53.1% [36] 6466(6.0%) 1804(1.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [36] 46.9% match-e [49] 36.1% ----------------------------------------------------------------------- finalize-iter! [30] 100.0% [37] 1448(1.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [43] 100.0% ----------------------------------------------------------------------- one-iter [28] 100.0% [38] 1028(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [44] 100.0% ----------------------------------------------------------------------- gen-series! [31] 100.0% [39] 862(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [45] 100.0% ----------------------------------------------------------------------- f6 [15] 50.0% argmins [33] 50.0% [40] 440(0.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [64] 50.0% loop [46] 50.0% ----------------------------------------------------------------------- pass [34] 100.0% [41] 202(0.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [47] 100.0% ----------------------------------------------------------------------- for-loop [35] 2.4% run [9] 48.7% [42] 107080(99.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.7% loop [48] 44.6% run-improve58 [2] 5.3% simplify [3] 2.4% ----------------------------------------------------------------------- ??? [37] 100.0% [43] 1448(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [50] 100.0% ----------------------------------------------------------------------- one-iter [28] 28.2% loop [38] 71.8% [44] 1432(1.3%) 200(0.2%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [76] 29.6% match-e [49] 28.2% merge-egraph-nodes! [52] 14.1% substitute-e [53] 14.1% ----------------------------------------------------------------------- for-loop [39] 100.0% [45] 862(0.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [51] 100.0% ----------------------------------------------------------------------- composed [40] 100.0% [46] 220(0.2%) 220(0.2%) loop ...are/racket/collects/racket/list.rkt:414:34 ----------------------------------------------------------------------- for-loop [41] 100.0% [47] 202(0.2%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [54] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 1.1% ??? [42] 98.9% [48] 94762(87.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [55] 46.4% make-exacts* [62] 37.4% loop [63] 15.9% for-loop [59] 0.2% ----------------------------------------------------------------------- apply-match [44] 4.0% for-loop [11] 24.2% for-loop [36] 71.9% [49] 5066(4.7%) 3266(3.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [4] 16.2% for-loop [11] 13.8% loop [71] 7.9% constant? [60] 4.0% list-cartesian-product [58] 3.9% ----------------------------------------------------------------------- for-loop [43] 100.0% [50] 1448(1.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [56] 100.0% ----------------------------------------------------------------------- taylor-alt [45] 100.0% [51] 862(0.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [57] 100.0% ----------------------------------------------------------------------- apply-match [44] 100.0% [52] 202(0.2%) 202(0.2%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 ----------------------------------------------------------------------- substitute-e [53] 50.0% apply-match [44] 50.0% [53] 202(0.2%) 202(0.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [53] 50.0% ----------------------------------------------------------------------- loop [47] 100.0% [54] 202(0.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [61] 100.0% ----------------------------------------------------------------------- loop [48] 100.0% [55] 44002(40.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [63] 58.7% make-exacts* [62] 40.8% ----------------------------------------------------------------------- atab-add-altn [50] 100.0% [56] 1448(1.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 84.7% for-loop [65] 15.3% ----------------------------------------------------------------------- for-loop [51] 37.2% location-do [57] 62.8% [57] 862(0.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [57] 62.8% approximate9 [5] 37.2% ----------------------------------------------------------------------- list-cartesian-product [58] 25.0% match-e [49] 75.0% [58] 400(0.4%) 200(0.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [58] 25.0% for-loop [67] 25.0% ----------------------------------------------------------------------- loop [48] 100.0% [59] 218(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [66] 100.0% ----------------------------------------------------------------------- match-e [49] 100.0% [60] 202(0.2%) 202(0.2%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- expression-cost [54] 100.0% [61] 202(0.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [80] 100.0% ----------------------------------------------------------------------- loop [55] 33.6% loop [48] 66.4% [62] 53436(49.6%) 258(0.2%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [68] 50.6% loop [71] 48.9% ----------------------------------------------------------------------- loop [48] 36.8% loop [55] 63.2% [63] 40888(37.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [68] 90.4% loop [71] 9.6% ----------------------------------------------------------------------- composed [40] 15.2% best-and-tied-at-points [56] 84.8% [64] 1446(1.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [69] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [56] 100.0% [65] 222(0.2%) 222(0.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- for-loop [59] 100.0% [66] 218(0.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [70] 100.0% ----------------------------------------------------------------------- list-cartesian-product [58] 100.0% [67] 200(0.2%) 200(0.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- f6 [15] 0.7% make-exacts* [62] 42.0% loop [63] 57.4% [68] 64434(59.8%) 220(0.2%) map ...acket/collects/racket/private/map.rkt:21:13 loop [71] 97.9% ??? [73] 1.1% parse-loop12 [84] 0.3% ??? [74] 0.3% ----------------------------------------------------------------------- errors [64] 100.0% [69] 1446(1.3%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 86.2% ulp-difference [72] 13.8% ----------------------------------------------------------------------- for-loop [66] 100.0% [70] 218(0.2%) 218(0.2%) sample-double .../src/syntax/distributions.rkt:8:0 ----------------------------------------------------------------------- loop [63] 0.0% parse-loop12 [84] 0.1% loop! [76] 0.1% for-loop [4] 0.2% match-e [49] 0.3% ??? [73] 0.3% make-exacts* [62] 0.5% extract-alt [24] 0.6% map [68] 1.9% loop [71] 96.0% [71] 96446(89.5%) 1042(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [71] 96.0% ??? [73] 2.4% simplify [3] 0.6% ->flonum [75] 0.2% loop! [76] 0.1% real->bigfloat [79] 0.1% ??? [74] 0.0% foldl [77] 0.0% ??? [89] 0.0% ??? [94] 0.0% ----------------------------------------------------------------------- for-loop [69] 100.0% [72] 200(0.2%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [85] 100.0% ----------------------------------------------------------------------- map [68] 0.7% for-loop [69] 1.3% loop [71] 98.0% [73] 94872(88.0%) 1954(1.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 89.0% real->bigfloat [79] 4.9% loop [71] 2.6% ??? [94] 1.2% ----------------------------------------------------------------------- map [68] 7.7% loop [71] 92.3% [74] 640(0.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [80] 100.0% ----------------------------------------------------------------------- loop [71] 100.0% [75] 438(0.4%) 236(0.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [85] 46.1% ----------------------------------------------------------------------- loop [71] 23.8% apply-match [44] 76.2% [76] 424(0.4%) 424(0.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [71] 23.8% ----------------------------------------------------------------------- loop [71] 100.0% [77] 198(0.2%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [81] 100.0% ----------------------------------------------------------------------- ??? [73] 100.0% [78] 84412(78.3%) 1474(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [89] 90.0% bf* [82] 5.5% ...higher-order.rkt:373:33 [83] 2.0% ??? [85] 0.8% ----------------------------------------------------------------------- loop [71] 27.7% ??? [73] 72.3% [79] 6392(5.9%) 5734(5.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 10.3% ----------------------------------------------------------------------- for-loop [19] 2.3% ??? [87] 2.3% loop [26] 2.6% compile [61] 3.5% loop [18] 4.9% ??? [88] 7.0% ??? [86] 7.5% for-loop [16] 8.0% taylor-sqrt [17] 17.1% ??? [74] 21.6% localize-error [32] 23.1% [80] 1926(1.8%) 202(0.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [84] 42.7% ??? [6] 19.4% simplify [7] 10.6% ??? [86] 7.5% ??? [88] 7.0% f6 [15] 4.7% ??? [87] 2.3% ??? [8] 2.3% ----------------------------------------------------------------------- foldl [77] 100.0% [81] 198(0.2%) 198(0.2%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- ??? [78] 100.0% [82] 4608(4.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [89] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [83] 1692(1.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 61.8% ??? [94] 38.2% ----------------------------------------------------------------------- parse-loop12 [84] 10.2% map [68] 10.2% hash-ref! [80] 79.5% [84] 1084(1.0%) 222(0.2%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [71] 59.0% loop [91] 20.5% parse-loop12 [84] 10.2% ----------------------------------------------------------------------- ulp-difference [72] 19.2% ->flonum [75] 19.4% ??? [78] 61.4% [85] 1042(1.0%) 1042(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- hash-ref! [80] 100.0% [86] 422(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [80] 100.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [87] 222(0.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [80] 100.0% ----------------------------------------------------------------------- hash-ref! [80] 100.0% [88] 202(0.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [80] 100.0% ----------------------------------------------------------------------- loop [71] 0.3% bf* [82] 5.7% ??? [78] 94.0% [89] 80828(75.0%) 65494(60.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [92] 7.8% bfsqr [93] 6.1% ??? [95] 5.1% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [83]100.0% [90] 1046(1.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ----------------------------------------------------------------------- parse-loop12 [84] 7.1% loop [91] 92.9% [91] 222(0.2%) 222(0.2%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [91] 92.9% ----------------------------------------------------------------------- ??? [89] 100.0% [92] 6316(5.9%) 4112(3.8%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 34.9% ----------------------------------------------------------------------- ??? [89] 100.0% [93] 4936(4.6%) 4116(3.8%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 16.6% ----------------------------------------------------------------------- loop [71] 15.7% ...higher-order.rkt:373:33 [83] 19.2% ??? [90] 31.1% ??? [73] 34.0% [94] 3366(3.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ----------------------------------------------------------------------- ??? [94] 45.2% ??? [89] 54.8% [95] 7448(6.9%) 2896(2.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 58.1% ??? [98] 3.1% ----------------------------------------------------------------------- real->bigfloat [79] 17.9% bfsqr [93] 22.3% bfadd [92] 59.9% [96] 3682(3.4%) 3682(3.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [95] 100.0% [97] 4324(4.0%) 1806(1.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 58.2% ----------------------------------------------------------------------- ??? [95] 100.0% [98] 228(0.2%) 228(0.2%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ----------------------------------------------------------------------- ??? [97] 100.0% [99] 2518(2.3%) 2518(2.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------