Profiling results ----------------- Total cpu time observed: 60700ms (out of 61588ms) Number of samples taken: 220 (once every 276ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 106 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [36] 100.0% [1] 58126(95.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [36] 100.0% [2] 8452(13.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 56.3% loop [8] 43.7% ----------------------------------------------------------------------- hash-ref! [85] 100.0% [3] 5938(9.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [37] 100.0% ----------------------------------------------------------------------- ??? [36] 100.0% [4] 3662(6.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 67.2% for-loop [11] 21.9% iterate-egraph!5 [16] 10.9% ----------------------------------------------------------------------- hash-ref! [85] 100.0% [5] 212(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% ----------------------------------------------------------------------- location-do [64] 100.0% [6] 212(0.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [12] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 58126(95.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [36] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 6.7% ??? [36] 93.3% [8] 55486(91.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [14] 50.6% make-exacts* [18] 34.7% loop [19] 14.8% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 4756(7.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ----------------------------------------------------------------------- simplify [4] 100.0% [10] 2460(4.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 91.9% loop [17] 8.1% ----------------------------------------------------------------------- simplify [4] 100.0% [11] 802(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- approximate9 [6] 49.3% hash-ref! [85] 50.7% [12] 430(0.7%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [28] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [13] 212(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [85] 100.0% ----------------------------------------------------------------------- loop [8] 100.0% [14] 28056(46.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [19] 43.8% make-exacts* [18] 41.1% eval-prog [80] 15.1% ----------------------------------------------------------------------- for-loop [9] 100.0% [15] 4756(7.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 77.0% finalize-iter! [22] 9.7% localize-error [24] 4.6% gen-series! [25] 4.5% gen-rewrites! [26] 4.2% ----------------------------------------------------------------------- simplify [4] 11.6% for-loop [11] 23.2% simplify-expr [10] 65.3% [16] 3462(5.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [21] 87.8% map-enodes [23] 12.2% ----------------------------------------------------------------------- simplify-expr [10] 100.0% [17] 200(0.3%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [27] 100.0% ----------------------------------------------------------------------- loop [14] 37.5% loop [8] 62.5% [18] 30768(50.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [28] 44.0% loop [37] 41.5% eval-prog [80] 14.4% ----------------------------------------------------------------------- loop [8] 40.0% loop [14] 60.0% [19] 20484(33.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [28] 98.7% loop [37] 1.3% ----------------------------------------------------------------------- run-iter! [15] 100.0% [20] 3662(6.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [21] 3040(5.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 53.4% loop [31] 46.6% ----------------------------------------------------------------------- run-iter! [15] 100.0% [22] 462(0.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [23] 422(0.7%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [37] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [24] 218(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [85] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [25] 212(0.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [33] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [26] 202(0.3%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [34] 100.0% ----------------------------------------------------------------------- loop [17] 100.0% [27] 200(0.3%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [35] 100.0% ----------------------------------------------------------------------- f6 [12] 1.3% make-exacts* [18] 39.6% loop [19] 59.1% [28] 34192(56.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [37] 98.7% taylor-sqrt [41] 0.6% ----------------------------------------------------------------------- simplify! [20] 100.0% [29] 3662(6.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [36] 100.0% ----------------------------------------------------------------------- for-loop [30] 50.0% one-iter [21] 50.0% [30] 1622(2.7%) 196(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 50.0% match-e [46] 37.7% ??? [42] 6.2% ----------------------------------------------------------------------- one-iter [21] 100.0% [31] 1418(2.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ----------------------------------------------------------------------- finalize-iter! [22] 100.0% [32] 462(0.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [39] 100.0% ----------------------------------------------------------------------- gen-series! [25] 100.0% [33] 212(0.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [40] 100.0% ----------------------------------------------------------------------- gen-rewrites! [26] 100.0% [34] 202(0.3%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [43] 100.0% ----------------------------------------------------------------------- pass [27] 100.0% [35] 200(0.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [44] 100.0% ----------------------------------------------------------------------- for-loop [29] 2.1% run [7] 47.3% [36] 60242(99.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.3% loop [8] 44.6% run-improve58 [2] 6.1% simplify [4] 2.1% ----------------------------------------------------------------------- loop [19] 0.2% loop! [56] 0.4% map-enodes [23] 0.4% make-exacts* [18] 0.5% map [28] 1.7% ??? [3] 11.1% loop [37] 85.4% [37] 53588(88.3%) 218(0.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [37] 85.4% hash-ref! [85] 11.1% ??? [45] 2.3% for-loop [49] 0.4% loop! [56] 0.4% ->flonum [51] 0.0% ----------------------------------------------------------------------- loop [31] 100.0% [38] 1418(2.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [47] 43.9% substitute-e [50] 27.9% match-e [46] 14.1% loop! [56] 14.1% ----------------------------------------------------------------------- ??? [32] 100.0% [39] 462(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [48] 100.0% ----------------------------------------------------------------------- for-loop [33] 100.0% [40] 212(0.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [52] 100.0% ----------------------------------------------------------------------- map [28] 100.0% [41] 212(0.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [53] 100.0% ----------------------------------------------------------------------- for-loop [30] 100.0% [42] 202(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [54] 100.0% ----------------------------------------------------------------------- for-loop [34] 100.0% [43] 202(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [55] 100.0% ----------------------------------------------------------------------- for-loop [35] 100.0% [44] 200(0.3%) 200(0.3%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- loop [37] 100.0% [45] 46218(76.1%) 2448(4.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [57] 73.2% real->bigfloat [58] 15.3% ??? [89] 3.9% ...e/case-arrow.rkt:150:50 [59] 1.7% ----------------------------------------------------------------------- apply-match [38] 7.0% for-loop [73] 14.1% for-loop [30] 78.9% [46] 1424(2.3%) 824(1.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [61] 28.2% list-cartesian-product [74] 14.0% for-loop [73] 7.0% ----------------------------------------------------------------------- apply-match [38] 100.0% [47] 622(1.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [60] 100.0% ----------------------------------------------------------------------- for-loop [39] 100.0% [48] 462(0.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [62] 100.0% ----------------------------------------------------------------------- loop [37] 100.0% [49] 422(0.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [63] 52.6% compose [66] 47.4% ----------------------------------------------------------------------- apply-match [38] 100.0% [50] 396(0.7%) 200(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [69] 49.5% ----------------------------------------------------------------------- loop [37] 100.0% [51] 374(0.6%) 176(0.3%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [68] 52.9% ----------------------------------------------------------------------- taylor-alt [40] 100.0% [52] 212(0.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [64] 100.0% ----------------------------------------------------------------------- taylor-sqrt [41] 100.0% [53] 212(0.3%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [85] 100.0% ----------------------------------------------------------------------- ??? [42] 100.0% [54] 202(0.3%) 202(0.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- ??? [43] 20.0% matcher [77] 80.0% [55] 202(0.3%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [65] 100.0% ----------------------------------------------------------------------- loop [37] 50.0% apply-match [38] 50.0% [56] 200(0.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [37] 50.0% set [67] 50.0% ----------------------------------------------------------------------- ??? [45] 100.0% [57] 33838(55.7%) 204(0.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [97] 51.5% bf* [92] 18.8% bffma [70] 16.0% ...higher-order.rkt:373:33 [71] 8.6% ...ow-val-first.rkt:357:18 [81] 4.5% ----------------------------------------------------------------------- ??? [45] 100.0% [58] 7060(11.6%) 4878(8.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [101] 30.9% ----------------------------------------------------------------------- ??? [45] 100.0% [59] 788(1.3%) 788(1.3%) ...e/case-arrow.rkt:150:50 (unknown source) ----------------------------------------------------------------------- merge-egraph-nodes! [47] 100.0% [60] 622(1.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [72] 100.0% ----------------------------------------------------------------------- match-e [46] 100.0% [61] 602(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [73] 33.6% foldl [78] 33.2% list-cartesian-product [74] 33.2% ----------------------------------------------------------------------- atab-add-altn [48] 100.0% [62] 462(0.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [75] 51.9% for-loop [76] 48.1% ----------------------------------------------------------------------- for-loop [49] 100.0% [63] 222(0.4%) 222(0.4%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ----------------------------------------------------------------------- for-loop [52] 25.0% location-do [64] 75.0% [64] 212(0.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [64] 75.0% approximate9 [6] 25.0% ----------------------------------------------------------------------- rewriter [55] 100.0% [65] 202(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [77] 100.0% ----------------------------------------------------------------------- for-loop [49] 100.0% [66] 200(0.3%) 200(0.3%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- loop! [56] 100.0% [67] 200(0.3%) 200(0.3%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- ->flonum [51] 100.0% [68] 198(0.3%) 198(0.3%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ----------------------------------------------------------------------- substitute-e [50] 100.0% [69] 196(0.3%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [79] 100.0% ----------------------------------------------------------------------- ??? [57] 100.0% [70] 5404(8.9%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [92] 91.6% ...ow-val-first.rkt:357:18 [81] 8.4% ----------------------------------------------------------------------- ??? [57] 100.0% [71] 2902(4.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [86] 61.7% ??? [89] 38.3% ----------------------------------------------------------------------- update-leader! [60] 100.0% [72] 622(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [82] 100.0% ----------------------------------------------------------------------- match-e [46] 49.8% for-loop [61] 50.2% [73] 402(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [46] 100.0% ----------------------------------------------------------------------- list-cartesian-product [74] 25.0% match-e [46] 25.0% for-loop [61] 50.0% [74] 400(0.7%) 400(0.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [74] 25.0% ----------------------------------------------------------------------- best-and-tied-at-points [62] 100.0% [75] 240(0.4%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [80] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [62] 100.0% [76] 222(0.4%) 222(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- for-loop [83] 11.1% matcher [77] 33.3% for-loop [65] 55.6% [77] 202(0.3%) 202(0.3%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [55] 44.4% matcher [77] 33.3% for-loop [83] 11.1% ----------------------------------------------------------------------- for-loop [61] 100.0% [78] 200(0.3%) 200(0.3%) foldl ...et/collects/racket/private/list.rkt:229:4 ----------------------------------------------------------------------- mk-enode! [69] 100.0% [79] 196(0.3%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [84] 100.0% ----------------------------------------------------------------------- errors [75] 2.7% loop [14] 47.5% make-exacts* [18] 49.8% [80] 8916(14.7%) 472(0.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [85] 94.7% ----------------------------------------------------------------------- bffma [70] 23.0% ??? [57] 77.0% [81] 1976(3.3%) 200(0.3%) ...ow-val-first.rkt:357:18 (unknown source) ??? [86] 89.9% ----------------------------------------------------------------------- for-loop [72] 100.0% [82] 622(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [87] 100.0% ----------------------------------------------------------------------- matcher [77] 100.0% [83] 202(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [77] 100.0% ----------------------------------------------------------------------- new-enode [79] 100.0% [84] 196(0.3%) 196(0.3%) mutable-set ...racket/private/set-types.rkt:1000:0 ----------------------------------------------------------------------- localize-error [24] 0.8% for-loop [13] 1.2% first-nonzero-exp [53] 1.2% loop [37] 40.9% eval-prog [80] 54.2% [85] 8874(14.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [88] 54.2% ??? [3] 40.9% ??? [5] 1.2% simplify [91] 1.2% f6 [12] 0.8% ----------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [81] 49.8% ...higher-order.rkt:373:33 [71] 50.2% [86] 3566(5.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [89] 100.0% ----------------------------------------------------------------------- for-loop [82] 100.0% [87] 622(1.0%) 200(0.3%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [90] 67.8% ----------------------------------------------------------------------- hash-ref! [85] 100.0% [88] 8444(13.9%) 218(0.4%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [93] 62.2% sig+exp->bigfloat [94] 35.2% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [71] 17.1% ??? [45] 28.0% ??? [86] 54.9% [89] 6498(10.7%) 450(0.7%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [99] 93.1% ----------------------------------------------------------------------- hash-update! [87] 100.0% [90] 422(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [95] 100.0% ----------------------------------------------------------------------- hash-ref! [85] 100.0% [91] 212(0.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [96] 100.0% ----------------------------------------------------------------------- bffma [70] 42.9% ??? [57] 55.2% [92] 11538(19.0%) 216(0.4%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [97] 98.1% ----------------------------------------------------------------------- bigfloat-hash [88] 100.0% [93] 5252(8.7%) 5252(8.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- bigfloat-hash [88] 100.0% [94] 2974(4.9%) 2974(4.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- ??? [90] 100.0% [95] 422(0.7%) 422(0.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- simplify [91] 100.0% [96] 212(0.3%) 212(0.3%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- bf* [92] 39.4% ??? [57] 60.6% [97] 28758(47.4%) 2200(3.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [98] 60.1% bfsqrt [100] 22.3% ??? [99] 9.9% ----------------------------------------------------------------------- ??? [97] 100.0% [98] 17276(28.5%) 12952(21.3%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [101] 25.0% ----------------------------------------------------------------------- ??? [97] 32.1% ??? [89] 67.9% [99] 8908(14.7%) 4712(7.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [102] 47.1% ----------------------------------------------------------------------- ??? [97] 100.0% [100] 6422(10.6%) 4616(7.6%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [101] 28.1% ----------------------------------------------------------------------- bfsqrt [100] 21.7% real->bigfloat [58] 26.3% bfsub [98] 52.0% [101] 8312(13.7%) 8312(13.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [99] 100.0% [102] 4196(6.9%) 1940(3.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [103] 53.8% ----------------------------------------------------------------------- ??? [102] 100.0% [103] 2256(3.7%) 2256(3.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------