Profiling results ----------------- Total cpu time observed: 33586ms (out of 34140ms) Number of samples taken: 147 (once every 228ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 104 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [28] 100.0% [1] 31190(92.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [2] 19704(58.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 92.5% get-final-combination [9] 4.2% setup-prog [10] 2.1% loop [34] 1.2% ---------------------------------------------------------------------- hash-ref! [76] 100.0% [3] 240(0.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [68] 100.0% ---------------------------------------------------------------------- f37 [57] 100.0% [4] 202(0.6%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [20] 100.0% ---------------------------------------------------------------------- hash-ref! [76] 100.0% [5] 200(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [76] 100.0% [6] 200(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 31190(92.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 18228(54.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 820(2.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [14] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 416(1.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [15] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [11] 200(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [76] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [12] 200(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [16] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [13] 18228(54.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 94.4% finalize-iter! [19] 3.4% gen-series! [21] 2.2% ---------------------------------------------------------------------- get-final-combination [9] 100.0% [14] 820(2.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [68] 100.0% ---------------------------------------------------------------------- setup-prog [10] 100.0% [15] 416(1.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [17] 100.0% ---------------------------------------------------------------------- for-loop [12] 100.0% [16] 200(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 simplify [20] 100.0% ---------------------------------------------------------------------- simplify-alt [15] 2.3% loop [68] 4.4% ??? [28] 93.3% [17] 18444(54.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [23] 68.2% iterate-egraph!5 [29] 27.9% for-loop [24] 3.8% ---------------------------------------------------------------------- run-iter! [13] 100.0% [18] 17208(51.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [22] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [19] 618(1.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% ---------------------------------------------------------------------- for-loop [16] 49.8% taylor-invert [4] 50.2% [20] 402(1.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [27] 50.2% f37 [57] 49.8% ---------------------------------------------------------------------- run-iter! [13] 100.0% [21] 402(1.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% ---------------------------------------------------------------------- simplify! [18] 100.0% [22] 17208(51.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% ---------------------------------------------------------------------- simplify [17] 100.0% [23] 12584(37.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [29] 98.3% ---------------------------------------------------------------------- simplify [17] 100.0% [24] 710(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [29] 100.0% ---------------------------------------------------------------------- finalize-iter! [19] 100.0% [25] 618(1.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 100.0% ---------------------------------------------------------------------- gen-series! [21] 100.0% [26] 402(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ---------------------------------------------------------------------- simplify [20] 100.0% [27] 202(0.6%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [32] 100.0% ---------------------------------------------------------------------- for-loop [22] 18.3% run [7] 39.1% [28] 33586(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 39.1% run-improve58 [2] 22.0% loop [34] 20.7% simplify [17] 18.3% ---------------------------------------------------------------------- for-loop [24] 3.9% simplify [17] 28.3% simplify-expr [23] 67.8% [29] 18224(54.3%) 270(0.8%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [33] 97.4% ---------------------------------------------------------------------- ??? [25] 100.0% [30] 618(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [35] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [31] 402(1.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [36] 100.0% ---------------------------------------------------------------------- debug-print [27] 100.0% [32] 202(0.6%) 202(0.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- iterate-egraph!5 [29] 100.0% [33] 17752(52.9%) 462(1.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [37] 49.5% for-loop [38] 41.8% apply-match [42] 6.1% ---------------------------------------------------------------------- run-improve58 [2] 1.7% ??? [28] 98.3% [34] 14122(42.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [39] 44.0% make-exacts* [43] 34.2% loop [44] 21.9% ---------------------------------------------------------------------- for-loop [30] 100.0% [35] 618(1.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [40] 100.0% ---------------------------------------------------------------------- taylor-alt [31] 100.0% [36] 402(1.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [41] 100.0% ---------------------------------------------------------------------- one-iter [33] 100.0% [37] 8796(26.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [42] 100.0% ---------------------------------------------------------------------- for-loop [38] 50.0% one-iter [33] 50.0% [38] 7412(22.1%) 1780(5.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [38] 50.0% match-e [49] 36.5% ??? [66] 1.5% ---------------------------------------------------------------------- loop [34] 100.0% [39] 6210(18.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [43] 55.5% loop [44] 40.7% eval-prog [51] 3.9% ---------------------------------------------------------------------- atab-add-altn [35] 100.0% [40] 618(1.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [45] 67.6% for-loop [47] 32.4% ---------------------------------------------------------------------- for-loop [36] 37.4% location-do [41] 62.6% [41] 402(1.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [41] 62.6% approximate9 [46] 37.4% ---------------------------------------------------------------------- one-iter [33] 11.0% loop [37] 89.0% [42] 9878(29.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [53] 46.0% for-loop [50] 18.9% match-e [49] 15.7% update-leader! [58] 12.8% substitute-e [56] 4.3% loop! [65] 2.4% ---------------------------------------------------------------------- loop [39] 41.7% loop [34] 58.3% [43] 8268(24.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [48] 54.9% loop [68] 45.1% ---------------------------------------------------------------------- loop [39] 45.0% loop [34] 55.0% [44] 5614(16.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [48] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [45] 418(1.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [51] 100.0% ---------------------------------------------------------------------- location-do [41] 100.0% [46] 402(1.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [57] 50.2% loop [52] 49.8% ---------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [47] 200(0.6%) 200(0.6%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- f37 [57] 2.0% make-exacts* [43] 43.8% loop [44] 54.2% [48] 10354(30.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [68] 95.8% ??? [73] 2.2% f37 [57] 2.0% ---------------------------------------------------------------------- for-loop [59] 17.5% apply-match [42] 17.5% for-loop [38] 65.1% [49] 6960(20.7%) 3090(9.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [54] 50.6% list-cartesian-product [55] 6.6% for-loop [59] 6.2% ---------------------------------------------------------------------- apply-match [42] 100.0% [50] 1868(5.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [65] 64.5% mk-enode! [60] 12.8% merge-egraph-nodes! [53] 11.8% substitute-e [56] 10.9% ---------------------------------------------------------------------- loop [39] 36.5% errors [45] 63.5% [51] 658(2.0%) 418(1.2%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [76] 36.5% ---------------------------------------------------------------------- approximate9 [46] 100.0% [52] 200(0.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [76] 100.0% ---------------------------------------------------------------------- for-loop [61] 2.5% for-loop [50] 4.6% merge-egraph-nodes! [53] 11.4% apply-match [42] 81.4% [53] 4760(14.2%) 220(0.7%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [58] 54.4% loop! [65] 20.7% merge-egraph-nodes! [53] 11.4% for-loop [61] 8.8% ---------------------------------------------------------------------- match-e [49] 100.0% [54] 4070(12.1%) 1684(5.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [59] 50.2% loop [68] 10.9% loop [63] 3.0% ---------------------------------------------------------------------- list-cartesian-product [55] 17.7% match-e [49] 82.3% [55] 682(2.0%) 440(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [55] 17.7% for-loop [62] 17.7% ---------------------------------------------------------------------- for-loop [50] 32.7% apply-match [42] 67.3% [56] 624(1.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [60] 100.0% ---------------------------------------------------------------------- map [48] 25.1% approximate9 [46] 25.1% simplify [20] 49.8% [57] 402(1.2%) 200(0.6%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [48] 25.1% taylor-invert [4] 25.1% ---------------------------------------------------------------------- apply-match [42] 29.4% merge-egraph-nodes! [53] 70.6% [58] 4296(12.8%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [64] 100.0% ---------------------------------------------------------------------- match-e [49] 26.5% for-loop [54] 73.5% [59] 3250(9.7%) 420(1.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [49] 74.8% ??? [66] 12.3% ---------------------------------------------------------------------- for-loop [50] 27.8% substitute-e [56] 72.2% [60] 864(2.6%) 624(1.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [67] 27.8% ---------------------------------------------------------------------- merge-egraph-nodes! [53] 100.0% [61] 642(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [65] 62.3% merge-egraph-nodes! [53] 37.7% ---------------------------------------------------------------------- list-cartesian-product [55] 100.0% [62] 242(0.7%) 242(0.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- for-loop [54] 100.0% [63] 242(0.7%) 242(0.7%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- update-leader! [58] 100.0% [64] 4296(12.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [69] 100.0% ---------------------------------------------------------------------- apply-match [42] 4.1% for-loop [61] 6.8% merge-egraph-nodes! [53] 27.9% for-loop [50] 30.6% loop [68] 30.6% [65] 2950(8.8%) 844(2.5%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [68] 37.5% custom-set-union [70] 34.6% set [71] 7.5% update-en-expr [91] 6.1% ---------------------------------------------------------------------- for-loop [38] 35.5% for-loop [59] 64.5% [66] 620(1.8%) 200(0.6%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [72] 67.7% ---------------------------------------------------------------------- mk-enode! [60] 100.0% [67] 240(0.7%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [71] 100.0% ---------------------------------------------------------------------- make-exacts* [43] 0.3% map [48] 0.4% for-loop [54] 0.8% ??? [3] 1.4% loop! [65] 3.5% extract-alt [14] 3.6% loop [68] 89.8% [68] 17286(51.5%) 682(2.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [68] 89.8% simplify [17] 3.6% loop! [65] 3.4% hash-ref! [76] 1.4% ??? [73] 0.7% ->flonum [77] 0.0% ---------------------------------------------------------------------- for-loop [64] 100.0% [69] 4296(12.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [74] 100.0% ---------------------------------------------------------------------- loop! [65] 100.0% [70] 1022(3.0%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [75] 80.2% for-loop [78] 19.8% ---------------------------------------------------------------------- new-enode [67] 35.3% loop! [65] 64.7% [71] 680(2.0%) 680(2.0%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ??? [66] 100.0% [72] 420(1.3%) 420(1.3%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- map [48] 1.7% loop [68] 98.3% [73] 13424(40.0%) 2442(7.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 55.4% real->bigfloat [81] 21.3% ??? [95] 3.2% ---------------------------------------------------------------------- for-loop [69] 100.0% [74] 4296(12.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [80] 100.0% ---------------------------------------------------------------------- custom-set-union [70] 100.0% [75] 820(2.4%) 420(1.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [82] 48.8% ---------------------------------------------------------------------- for-loop [11] 15.2% ??? [85] 15.2% loop [52] 15.2% eval-prog [51] 18.2% loop [68] 36.4% [76] 440(1.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 36.4% bigfloat-hash [83] 18.2% ??? [85] 15.2% ??? [6] 15.2% ??? [5] 15.2% ---------------------------------------------------------------------- loop [68] 100.0% [77] 218(0.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [84] 100.0% ---------------------------------------------------------------------- custom-set-union [70] 100.0% [78] 202(0.6%) 202(0.6%) for-loop ...cts/racket/private/set-types.rkt:152:2 ---------------------------------------------------------------------- ??? [73] 100.0% [79] 7442(22.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 75.4% bf* [87] 18.2% ...higher-order.rkt:373:33 [88] 6.4% ---------------------------------------------------------------------- hash-update! [74] 100.0% [80] 4296(12.8%) 200(0.6%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [86] 95.3% ---------------------------------------------------------------------- ??? [73] 100.0% [81] 2858(8.5%) 2204(6.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 22.9% ---------------------------------------------------------------------- for-loop [75] 100.0% [82] 400(1.2%) 400(1.2%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- hash-ref! [76] 100.0% [83] 240(0.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bigfloat->sig+exp [89] 100.0% ---------------------------------------------------------------------- ->flonum [77] 100.0% [84] 218(0.6%) 218(0.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- hash-ref! [76] 100.0% [85] 200(0.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [76] 100.0% ---------------------------------------------------------------------- ??? [80] 100.0% [86] 4096(12.2%) 3652(10.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [91] 10.8% ---------------------------------------------------------------------- ??? [79] 100.0% [87] 1352(4.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [88] 478(1.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 50.6% ??? [95] 49.4% ---------------------------------------------------------------------- bigfloat-hash [83] 100.0% [89] 240(0.7%) 240(0.7%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 ---------------------------------------------------------------------- bf* [87] 19.4% ??? [79] 80.6% [90] 6964(20.7%) 1828(5.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexp [93] 32.2% ??? [96] 22.0% bfadd [94] 19.6% ---------------------------------------------------------------------- loop! [65] 49.9% for-loop [86] 50.1% [91] 886(2.6%) 886(2.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [92] 242(0.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [93] 2240(6.7%) 1366(4.1%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 39.0% ---------------------------------------------------------------------- ??? [90] 100.0% [94] 1364(4.1%) 890(2.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 34.8% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [88] 26.1% ??? [92] 26.8% ??? [73] 47.1% [95] 904(2.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ---------------------------------------------------------------------- ??? [95] 37.1% ??? [90] 62.9% [96] 2436(7.3%) 222(0.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 90.9% ---------------------------------------------------------------------- bfadd [94] 23.7% real->bigfloat [81] 32.7% bfexp [93] 43.7% [97] 2002(6.0%) 2002(6.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [96] 100.0% [98] 2214(6.6%) 680(2.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 69.3% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 1534(4.6%) 1534(4.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------