Profiling results ----------------- Total cpu time observed: 16946ms (out of 17364ms) Number of samples taken: 68 (once every 249ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [29] 100.0% [1] 16100(95.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------- ??? [29] 100.0% [2] 8456(49.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 97.1% get-final-combination [11] 2.9% ---------------------------------------------------------------------- loop [78] 4.1% ??? [29] 95.9% [3] 5902(34.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 70.8% for-loop [9] 17.7% iterate-egraph!5 [13] 11.5% ---------------------------------------------------------------------- loop [78] 100.0% [4] 404(2.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 75.2% map [74] 24.8% ---------------------------------------------------------------------- f6 [69] 100.0% [5] 312(1.8%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [10] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 16100(95.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 8214(48.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 4180(24.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 90.4% loop [14] 9.6% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 1042(6.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 100.0% ---------------------------------------------------------------------- taylor-sqrt [5] 100.0% [10] 312(1.8%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [62] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 242(1.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ---------------------------------------------------------------------- for-loop [7] 100.0% [12] 8214(48.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 68.9% gen-series! [18] 18.6% finalize-iter! [19] 7.5% localize-error [20] 4.9% ---------------------------------------------------------------------- simplify [3] 12.4% for-loop [9] 18.9% simplify-expr [8] 68.7% [13] 5500(32.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 96.0% debug7 [22] 4.0% ---------------------------------------------------------------------- simplify-expr [8] 100.0% [14] 402(2.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ---------------------------------------------------------------------- get-final-combination [11] 100.0% [15] 242(1.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [78] 100.0% ---------------------------------------------------------------------- run-iter! [12] 100.0% [16] 5660(33.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [17] 5280(31.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 68.5% loop [25] 31.5% ---------------------------------------------------------------------- run-iter! [12] 100.0% [18] 1530(9.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% ---------------------------------------------------------------------- run-iter! [12] 100.0% [19] 620(3.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ---------------------------------------------------------------------- run-iter! [12] 100.0% [20] 404(2.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ---------------------------------------------------------------------- loop [14] 100.0% [21] 402(2.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [28] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [22] 220(1.3%) 220(1.3%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ---------------------------------------------------------------------- simplify! [16] 100.0% [23] 5660(33.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ---------------------------------------------------------------------- for-loop [24] 50.0% one-iter [17] 50.0% [24] 3616(21.3%) 1082(6.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [30] 35.0% ---------------------------------------------------------------------- one-iter [17] 100.0% [25] 1664(9.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% ---------------------------------------------------------------------- gen-series! [18] 100.0% [26] 1530(9.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ---------------------------------------------------------------------- finalize-iter! [19] 100.0% [27] 620(3.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [33] 100.0% ---------------------------------------------------------------------- pass [21] 100.0% [28] 402(2.4%) 202(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [34] 49.8% ---------------------------------------------------------------------- for-loop [23] 11.9% run [6] 43.1% [29] 16724(98.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.1% loop [35] 24.7% run-improve58 [2] 20.3% simplify [3] 11.9% ---------------------------------------------------------------------- for-loop [46] 16.3% for-loop [24] 83.7% [30] 2534(15.0%) 1048(6.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [36] 54.3% constant? [42] 4.3% loop [78] 4.0% ---------------------------------------------------------------------- loop [25] 100.0% [31] 1664(9.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [38] 49.3% reduce-to-single! [40] 13.3% substitute-e [41] 13.2% loop! [81] 12.1% for-loop [43] 12.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [32] 1530(9.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [33] 620(3.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ---------------------------------------------------------------------- for-loop [28] 100.0% [34] 200(1.2%) 200(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- ??? [29] 100.0% [35] 8268(48.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [44] 53.8% make-exacts* [53] 46.2% ---------------------------------------------------------------------- match-e [30] 100.0% [36] 1688(10.0%) 420(2.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [46] 43.0% list-cartesian-product [49] 14.2% curried [52] 12.0% filter [51] 6.0% ---------------------------------------------------------------------- taylor-alt [32] 100.0% [37] 1530(9.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 24.3% apply-match [31] 75.7% [38] 820(4.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [48] 51.5% merge-egraph-nodes! [38] 24.3% loop! [81] 24.3% ---------------------------------------------------------------------- for-loop [33] 100.0% [39] 620(3.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% ---------------------------------------------------------------------- apply-match [31] 100.0% [40] 222(1.3%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [50] 100.0% ---------------------------------------------------------------------- substitute-e [41] 50.0% apply-match [31] 50.0% [41] 220(1.3%) 220(1.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [41] 50.0% ---------------------------------------------------------------------- match-e [30] 100.0% [42] 220(1.3%) 220(1.3%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- apply-match [31] 100.0% [43] 200(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [81] 100.0% ---------------------------------------------------------------------- loop [35] 100.0% [44] 4448(26.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [53] 59.4% loop [54] 35.7% eval-prog [60] 4.9% ---------------------------------------------------------------------- for-loop [37] 41.5% location-do [45] 58.5% [45] 1530(9.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [45] 58.5% approximate9 [55] 39.4% simplify [64] 2.1% ---------------------------------------------------------------------- for-loop [36] 100.0% [46] 826(4.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [30] 100.0% ---------------------------------------------------------------------- atab-add-altn [39] 100.0% [47] 620(3.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [56] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [48] 422(2.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 100.0% ---------------------------------------------------------------------- for-loop [36] 100.0% [49] 240(1.4%) 240(1.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- reduce-to-single! [40] 100.0% [50] 222(1.3%) 222(1.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ---------------------------------------------------------------------- for-loop [36] 100.0% [51] 202(1.2%) 202(1.2%) filter ...t/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------- for-loop [36] 100.0% [52] 202(1.2%) 202(1.2%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------- loop [44] 40.9% loop [35] 59.1% [53] 6462(38.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [74] 50.8% loop [78] 45.8% eval-prog [60] 3.5% ---------------------------------------------------------------------- loop [44] 100.0% [54] 1586(9.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [74] 100.0% ---------------------------------------------------------------------- location-do [45] 100.0% [55] 1308(7.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [58] 76.1% f6 [69] 23.9% ---------------------------------------------------------------------- best-and-tied-at-points [47] 100.0% [56] 620(3.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [59] 100.0% ---------------------------------------------------------------------- update-leader! [48] 100.0% [57] 422(2.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [61] 100.0% ---------------------------------------------------------------------- approximate9 [55] 100.0% [58] 996(5.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ---------------------------------------------------------------------- errors [56] 100.0% [59] 620(3.7%) 200(1.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [80] 67.7% ---------------------------------------------------------------------- loop [44] 49.5% make-exacts* [53] 50.5% [60] 444(2.6%) 444(2.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- for-loop [57] 100.0% [61] 422(2.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [63] 100.0% ---------------------------------------------------------------------- for-loop [70] 9.1% first-nonzero-exp [10] 9.1% ??? [67] 10.4% ??? [66] 10.4% ??? [4] 11.8% localize-error [20] 11.8% loop [58] 37.4% [62] 1712(10.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [64] 40.0% ??? [65] 15.6% parse-loop12 [77] 11.8% f6 [69] 11.8% ??? [66] 10.4% ??? [67] 10.4% ---------------------------------------------------------------------- for-loop [61] 100.0% [63] 422(2.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [68] 100.0% ---------------------------------------------------------------------- location-do [45] 18.5% hash-ref! [62] 81.5% [64] 1198(7.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [69] 38.6% simplify* [72] 26.0% debug-print [73] 18.5% parse-loop12 [77] 16.9% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [65] 644(3.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [70] 100.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [66] 534(3.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [62] 100.0% ---------------------------------------------------------------------- hash-ref! [62] 100.0% [67] 534(3.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ---------------------------------------------------------------------- hash-update! [63] 100.0% [68] 422(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [71] 100.0% ---------------------------------------------------------------------- f6 [69] 8.8% map [74] 8.8% approximate9 [55] 8.8% parse-loop12 [77] 10.3% simplify [64] 28.9% hash-ref! [62] 34.3% [69] 1178(7.0%) 242(1.4%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [74] 72.1% f6 [69] 8.8% taylor-sqrt [5] 8.8% ---------------------------------------------------------------------- ??? [65] 100.0% [70] 644(3.8%) 332(2.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [62] 48.4% ---------------------------------------------------------------------- ??? [68] 100.0% [71] 422(2.5%) 200(1.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [76] 52.6% ---------------------------------------------------------------------- simplify [64] 100.0% [72] 312(1.8%) 312(1.8%) simplify* ...tlock/herbie/src/core/reduce.rkt:23:0 ---------------------------------------------------------------------- simplify [64] 100.0% [73] 222(1.3%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [75] 100.0% ---------------------------------------------------------------------- ??? [4] 1.7% f6 [69] 17.8% loop [54] 26.2% make-exacts* [53] 54.3% [74] 6044(35.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [78] 85.5% parse-loop12 [77] 7.6% f6 [69] 5.2% ->flonum [85] 1.7% ---------------------------------------------------------------------- debug-print [73] 100.0% [75] 222(1.3%) 222(1.3%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- for-loop [71] 100.0% [76] 222(1.3%) 222(1.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- parse-loop12 [77] 10.3% simplify [64] 18.9% map [74] 33.0% hash-ref! [62] 37.8% [77] 1068(6.3%) 220(1.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [78] 37.8% f6 [69] 22.7% parse-app [79] 18.9% parse-loop12 [77] 10.3% ---------------------------------------------------------------------- make-exacts* [53] 0.1% parse-loop12 [77] 0.1% map [74] 0.6% loop! [81] 2.3% match-e [30] 2.3% extract-alt [15] 2.7% loop [78] 92.0% [78] 8872(52.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [78] 92.0% simplify [3] 2.7% foldl [82] 2.3% loop! [81] 2.3% ??? [80] 0.5% ??? [4] 0.2% ??? [92] 0.1% ->flonum [85] 0.0% ---------------------------------------------------------------------- parse-loop12 [77] 100.0% [79] 202(1.2%) 202(1.2%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- for-loop [59] 5.3% loop [78] 94.7% [80] 7982(47.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 77.1% real->bigfloat [84] 14.0% ??? [96] 6.2% ->flonum [85] 2.8% ---------------------------------------------------------------------- loop [78] 12.5% for-loop [43] 25.0% apply-match [31] 25.2% merge-egraph-nodes! [38] 37.2% [81] 800(4.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [86] 75.0% loop [78] 12.5% set [87] 12.5% ---------------------------------------------------------------------- loop [78] 100.0% [82] 202(1.2%) 202(1.2%) foldl ...et/collects/racket/private/list.rkt:229:4 ---------------------------------------------------------------------- ??? [80] 100.0% [83] 6156(36.3%) 200(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 72.5% ...higher-order.rkt:373:33 [88] 16.0% bf* [90] 8.2% ---------------------------------------------------------------------- ??? [80] 100.0% [84] 1114(6.6%) 1114(6.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- map [74] 29.3% ??? [80] 32.3% loop [78] 38.4% [85] 682(4.0%) 200(1.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 38.4% ??? [91] 32.3% ---------------------------------------------------------------------- loop! [81] 100.0% [86] 600(3.5%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [89] 100.0% ---------------------------------------------------------------------- loop! [81] 100.0% [87] 200(1.2%) 200(1.2%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ??? [83] 100.0% [88] 986(5.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ---------------------------------------------------------------------- custom-set-union [86] 100.0% [89] 600(3.5%) 198(1.2%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [94] 67.0% ---------------------------------------------------------------------- ??? [83] 100.0% [90] 506(3.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ---------------------------------------------------------------------- ->flonum [85] 100.0% [91] 220(1.3%) 220(1.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- loop [78] 3.9% bf* [90] 9.8% ??? [83] 86.3% [92] 5174(30.5%) 898(5.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqrt [95] 67.8% bfmul [97] 10.4% ??? [98] 4.5% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [93] 986(5.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ---------------------------------------------------------------------- for-loop [89] 100.0% [94] 402(2.4%) 402(2.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ??? [92] 100.0% [95] 3506(20.7%) 2362(13.9%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 32.6% ---------------------------------------------------------------------- ??? [80] 33.3% ??? [93] 66.7% [96] 1478(8.7%) 264(1.6%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 82.1% ---------------------------------------------------------------------- ??? [92] 100.0% [97] 538(3.2%) 538(3.2%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ---------------------------------------------------------------------- ??? [92] 13.6% ->flonum [85] 15.3% ??? [96] 71.1% [98] 1708(10.1%) 978(5.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 42.7% ---------------------------------------------------------------------- bfsqrt [95] 100.0% [99] 1144(6.8%) 1144(6.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [98] 100.0% [100] 730(4.3%) 468(2.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [101] 35.9% ---------------------------------------------------------------------- ??? [100] 100.0% [101] 262(1.5%) 262(1.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------