Profiling results ----------------- Total cpu time observed: 57610ms (out of 58488ms) Number of samples taken: 210 (once every 274ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 98 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [43] 100.0% [1] 56996(98.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [2] 8226(14.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [44] 100.0% ---------------------------------------------------------------------- ??? [43] 100.0% [3] 7610(13.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 55.8% loop [10] 44.2% ---------------------------------------------------------------------- ??? [43] 100.0% [4] 2738(4.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 54.0% for-loop [13] 38.0% iterate-egraph!5 [20] 8.0% ---------------------------------------------------------------------- location-do [62] 100.0% [5] 642(1.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [15] 65.4% f6 [21] 34.6% ---------------------------------------------------------------------- f6 [21] 100.0% [6] 222(0.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [14] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [7] 220(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [17] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [8] 220(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 56996(98.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [43] 100.0% ---------------------------------------------------------------------- run-improve58 [3] 6.3% ??? [43] 93.7% [10] 53142(92.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [18] 58.2% make-exacts* [24] 31.5% loop [25] 9.9% for-loop [23] 0.4% ---------------------------------------------------------------------- run-improve58 [3] 100.0% [11] 4246(7.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [12] 1478(2.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 100.0% ---------------------------------------------------------------------- simplify [4] 100.0% [13] 1040(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [20] 100.0% ---------------------------------------------------------------------- taylor-invert [6] 34.6% hash-ref! [60] 65.4% [14] 642(1.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [22] 34.6% f6 [21] 34.3% parse-loop12 [69] 31.2% ---------------------------------------------------------------------- approximate9 [5] 100.0% [15] 420(0.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [60] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [16] 220(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [60] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [17] 220(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [60] 100.0% ---------------------------------------------------------------------- loop [10] 100.0% [18] 30932(53.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 eval-prog [35] 35.3% loop [25] 33.7% make-exacts* [24] 31.1% ---------------------------------------------------------------------- for-loop [11] 100.0% [19] 4246(7.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [26] 64.5% gen-series! [28] 15.1% finalize-iter! [29] 10.4% localize-error [30] 10.0% ---------------------------------------------------------------------- simplify [4] 8.0% for-loop [13] 38.0% simplify-expr [12] 54.0% [20] 2738(4.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [27] 100.0% ---------------------------------------------------------------------- ??? [51] 10.4% approximate9 [5] 10.4% parse-loop12 [69] 18.8% simplify [14] 20.6% hash-ref! [60] 39.8% [21] 1066(1.9%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [34] 68.9% parse-app [32] 20.6% taylor-invert [6] 10.4% ---------------------------------------------------------------------- simplify [14] 100.0% [22] 222(0.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [31] 100.0% ---------------------------------------------------------------------- loop [10] 100.0% [23] 204(0.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [33] 100.0% ---------------------------------------------------------------------- loop [18] 36.5% loop [10] 63.5% [24] 26342(45.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [44] 45.7% map [34] 36.1% eval-prog [35] 18.2% ---------------------------------------------------------------------- loop [10] 33.6% loop [18] 66.4% [25] 15692(27.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [34] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [26] 2738(4.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [36] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [27] 2738(4.8%) 228(0.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [37] 67.9% loop [40] 15.7% apply-match [46] 8.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [28] 642(1.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [38] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [29] 442(0.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [39] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [30] 424(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [60] 100.0% ---------------------------------------------------------------------- debug-print [22] 100.0% [31] 222(0.4%) 222(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- f6 [21] 100.0% [32] 220(0.4%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [41] 100.0% ---------------------------------------------------------------------- for-loop [23] 100.0% [33] 204(0.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [42] 100.0% ---------------------------------------------------------------------- ??? [51] 0.7% f6 [21] 2.6% make-exacts* [24] 36.5% loop [25] 60.2% [34] 26056(45.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [44] 93.1% ??? [50] 4.1% ??? [51] 1.4% parse-loop12 [69] 0.8% ->flonum [81] 0.7% ---------------------------------------------------------------------- make-exacts* [24] 30.6% loop [18] 69.4% [35] 15702(27.3%) 218(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [60] 98.6% ---------------------------------------------------------------------- simplify! [26] 100.0% [36] 2738(4.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [43] 100.0% ---------------------------------------------------------------------- for-loop [37] 50.0% one-iter [27] 50.0% [37] 1860(3.2%) 822(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [37] 50.0% match-e [45] 27.9% ---------------------------------------------------------------------- gen-series! [28] 100.0% [38] 642(1.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [47] 100.0% ---------------------------------------------------------------------- finalize-iter! [29] 100.0% [39] 442(0.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [48] 100.0% ---------------------------------------------------------------------- one-iter [27] 100.0% [40] 430(0.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [46] 100.0% ---------------------------------------------------------------------- loop [41] 50.0% parse-app [32] 50.0% [41] 220(0.4%) 220(0.4%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [41] 50.0% ---------------------------------------------------------------------- for-loop [33] 100.0% [42] 204(0.4%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [49] 100.0% ---------------------------------------------------------------------- for-loop [36] 1.6% run [9] 48.9% [43] 57388(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.9% loop [10] 43.7% run-improve58 [3] 5.8% simplify [4] 1.6% ---------------------------------------------------------------------- parse-loop12 [69] 0.1% loop! [55] 0.5% make-exacts* [24] 0.7% map [34] 1.0% ??? [2] 18.3% loop [44] 79.4% [44] 45046(78.2%) 244(0.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [44] 79.4% hash-ref! [60] 18.3% ??? [50] 1.6% loop! [55] 0.5% ->flonum [81] 0.2% ??? [51] 0.1% ---------------------------------------------------------------------- for-loop [37] 100.0% [45] 1038(1.8%) 620(1.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [54] 21.2% list-cartesian-product [58] 19.1% ---------------------------------------------------------------------- one-iter [27] 33.8% loop [40] 66.2% [46] 650(1.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [55] 33.8% merge-egraph-nodes! [56] 33.5% substitute-e [57] 32.6% ---------------------------------------------------------------------- for-loop [38] 100.0% [47] 642(1.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [52] 100.0% ---------------------------------------------------------------------- ??? [39] 100.0% [48] 442(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [53] 100.0% ---------------------------------------------------------------------- sample-double [42] 100.0% [49] 204(0.4%) 204(0.4%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ---------------------------------------------------------------------- map [34] 2.9% loop [44] 97.1% [50] 36320(63.0%) 2154(3.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [59] 65.7% real->bigfloat [61] 21.2% ??? [80] 6.6% ---------------------------------------------------------------------- map [34] 44.2% loop [44] 55.8% [51] 646(1.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [60] 45.1% f6 [21] 34.4% map [34] 20.5% ---------------------------------------------------------------------- taylor-alt [47] 100.0% [52] 642(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [62] 100.0% ---------------------------------------------------------------------- for-loop [48] 100.0% [53] 442(0.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [63] 100.0% ---------------------------------------------------------------------- match-e [45] 100.0% [54] 220(0.4%) 220(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- loop [44] 50.0% apply-match [46] 50.0% [55] 220(0.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [44] 50.0% update-en-expr [92] 50.0% ---------------------------------------------------------------------- apply-match [46] 100.0% [56] 218(0.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [64] 100.0% ---------------------------------------------------------------------- apply-match [46] 100.0% [57] 212(0.4%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [65] 100.0% ---------------------------------------------------------------------- match-e [45] 100.0% [58] 198(0.3%) 198(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- ??? [50] 100.0% [59] 23846(41.4%) 1168(2.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [72] 56.5% bf* [67] 30.0% ...higher-order.rkt:373:33 [68] 8.6% ---------------------------------------------------------------------- for-loop [17] 0.2% for-loop [16] 0.2% localize-error [30] 0.8% loop [15] 0.8% ??? [51] 1.8% loop [44] 30.5% eval-prog [35] 64.3% [60] 16328(28.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [66] 64.3% ??? [2] 30.5% parse-loop12 [69] 1.6% f6 [21] 1.0% simplify [14] 0.8% ??? [8] 0.2% ??? [7] 0.2% ---------------------------------------------------------------------- ??? [50] 100.0% [61] 7686(13.3%) 6562(11.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [84] 14.6% ---------------------------------------------------------------------- for-loop [52] 28.2% location-do [62] 71.8% [62] 642(1.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [62] 71.8% approximate9 [5] 28.2% ---------------------------------------------------------------------- atab-add-altn [53] 100.0% [63] 442(0.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [70] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [56] 100.0% [64] 218(0.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [71] 100.0% ---------------------------------------------------------------------- substitute-e [57] 100.0% [65] 212(0.4%) 212(0.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- hash-ref! [60] 100.0% [66] 15484(26.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [73] 72.9% sig+exp->bigfloat [74] 25.8% ---------------------------------------------------------------------- ??? [59] 100.0% [67] 7154(12.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [72] 100.0% ---------------------------------------------------------------------- ??? [59] 100.0% [68] 2052(3.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [75] 100.0% ---------------------------------------------------------------------- map [34] 6.4% simplify [14] 6.4% parse-loop12 [69] 19.2% hash-ref! [60] 67.9% [69] 624(1.1%) 200(0.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [44] 67.9% parse-loop12 [69] 19.2% f6 [21] 6.4% ---------------------------------------------------------------------- best-and-tied-at-points [63] 100.0% [70] 442(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [76] 100.0% ---------------------------------------------------------------------- update-leader! [64] 100.0% [71] 218(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [77] 100.0% ---------------------------------------------------------------------- bf* [67] 34.7% ??? [59] 65.3% [72] 20626(35.8%) 2298(4.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [78] 46.2% bfsqrt [79] 23.2% ??? [83] 19.5% ---------------------------------------------------------------------- bigfloat-hash [66] 100.0% [73] 11290(19.6%) 11290(19.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [66] 100.0% [74] 4002(6.9%) 4002(6.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [68]100.0% [75] 2052(3.6%) 222(0.4%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [80] 89.2% ---------------------------------------------------------------------- errors [70] 100.0% [76] 442(0.8%) 220(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ->flonum [81] 50.2% ---------------------------------------------------------------------- for-loop [71] 100.0% [77] 218(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [82] 100.0% ---------------------------------------------------------------------- ??? [72] 100.0% [78] 9536(16.6%) 6996(12.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [84] 26.6% ---------------------------------------------------------------------- ??? [72] 100.0% [79] 4780(8.3%) 3074(5.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [84] 35.7% ---------------------------------------------------------------------- ??? [75] 43.1% ??? [50] 56.9% [80] 4244(7.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [83] 100.0% ---------------------------------------------------------------------- for-loop [76] 16.8% map [34] 32.2% loop [44] 51.0% [81] 1318(2.3%) 222(0.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [83] 49.8% ??? [85] 16.8% ??? [86] 16.5% ---------------------------------------------------------------------- for-loop [77] 100.0% [82] 218(0.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [87] 100.0% ---------------------------------------------------------------------- ->flonum [81] 7.4% ??? [72] 45.0% ??? [80] 47.6% [83] 8912(15.5%) 5222(9.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [88] 38.8% ??? [89] 2.6% ---------------------------------------------------------------------- real->bigfloat [61] 20.9% bfsqrt [79] 31.8% bfmul [78] 47.3% [84] 5370(9.3%) 5370(9.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ->flonum [81] 100.0% [85] 222(0.4%) 222(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ->flonum [81] 100.0% [86] 218(0.4%) 218(0.4%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ---------------------------------------------------------------------- hash-update! [82] 100.0% [87] 218(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [90] 100.0% ---------------------------------------------------------------------- ??? [83] 100.0% [88] 3456(6.0%) 2056(3.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [91] 40.5% ---------------------------------------------------------------------- ??? [83] 100.0% [89] 234(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [93] 100.0% ---------------------------------------------------------------------- ??? [87] 100.0% [90] 218(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [92] 100.0% ---------------------------------------------------------------------- ??? [88] 100.0% [91] 1400(2.4%) 1400(2.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- for-loop [90] 49.8% loop! [55] 50.2% [92] 438(0.8%) 438(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ??? [89] 100.0% [93] 234(0.4%) 234(0.4%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ----------------------------------------------------------------------