Profiling results ----------------- Total cpu time observed: 21422ms (out of 21976ms) Number of samples taken: 84 (once every 255ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 102 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [30] 100.0% [1] 21222(99.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ------------------------------------------------------------------------ ??? [30] 100.0% [2] 7100(33.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 94.3% get-final-combination [10] 2.8% setup-prog [11] 2.8% ------------------------------------------------------------------------ simplify-alt [17] 3.5% loop [66] 3.6% ??? [30] 92.9% [3] 5666(26.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [8] 36.4% iterate-egraph!5 [15] 35.9% simplify-expr [9] 27.7% ------------------------------------------------------------------------ hash-ref! [67] 100.0% [4] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ------------------------------------------------------------------------ hash-ref! [67] 100.0% [5] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [6] 21222(99.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [7] 6698(31.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [8] 2062(9.6%) 200(0.9%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 90.3% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 1572(7.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [10] 202(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 200(0.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [17] 100.0% ------------------------------------------------------------------------ ??? [5] 100.0% [12] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [67] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [13] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [18] 100.0% ------------------------------------------------------------------------ for-loop [7] 100.0% [14] 6698(31.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 78.6% gen-series! [21] 9.2% finalize-iter! [22] 9.2% gen-rewrites! [23] 3.0% ------------------------------------------------------------------------ simplify-expr [9] 28.8% for-loop [8] 34.1% simplify [3] 37.2% [15] 5466(25.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 100.0% ------------------------------------------------------------------------ get-final-combination [10] 100.0% [16] 202(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [66] 100.0% ------------------------------------------------------------------------ setup-prog [11] 100.0% [17] 200(0.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ------------------------------------------------------------------------ for-loop [13] 100.0% [18] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [67] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [15] 100.0% [19] 5466(25.5%) 220(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 62.5% loop [26] 26.2% apply-match [31] 7.4% ------------------------------------------------------------------------ run-iter! [14] 100.0% [20] 5264(24.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [21] 618(2.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [22] 616(2.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [23] 200(0.9%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [29] 100.0% ------------------------------------------------------------------------ simplify! [20] 100.0% [24] 5264(24.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ------------------------------------------------------------------------ for-loop [25] 50.0% one-iter [19] 50.0% [25] 3414(15.9%) 822(3.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 50.0% match-e [36] 38.0% ------------------------------------------------------------------------ one-iter [19] 100.0% [26] 1430(6.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% ------------------------------------------------------------------------ gen-series! [21] 100.0% [27] 618(2.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ------------------------------------------------------------------------ finalize-iter! [22] 100.0% [28] 616(2.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [33] 100.0% ------------------------------------------------------------------------ gen-rewrites! [23] 100.0% [29] 200(0.9%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [34] 100.0% ------------------------------------------------------------------------ for-loop [24] 8.3% run [6] 45.6% [30] 21422(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.6% loop [35] 33.4% run-improve58 [2] 12.6% simplify [3] 8.3% ------------------------------------------------------------------------ one-iter [19] 21.9% loop [26] 78.1% [31] 1832(8.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [37] 35.0% for-loop [40] 31.0% match-e [36] 12.0% reduce-to-single! [41] 11.0% substitute-e [42] 10.9% ------------------------------------------------------------------------ for-loop [27] 100.0% [32] 618(2.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ------------------------------------------------------------------------ ??? [28] 100.0% [33] 616(2.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ------------------------------------------------------------------------ for-loop [29] 100.0% [34] 200(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [43] 100.0% ------------------------------------------------------------------------ ??? [30] 100.0% [35] 14322(66.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [44] 38.9% loop [52] 33.5% make-exacts* [53] 27.6% ------------------------------------------------------------------------ apply-match [31] 3.9% for-loop [54] 14.6% for-loop [25] 81.5% [36] 2812(13.1%) 1792(8.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 25.2% curry* [49] 7.1% loop [66] 7.1% for-loop [54] 3.9% ------------------------------------------------------------------------ merge-egraph-nodes! [37] 17.3% apply-match [31] 82.7% [37] 642(3.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [73] 51.6% update-leader! [50] 31.2% merge-egraph-nodes! [37] 17.3% ------------------------------------------------------------------------ taylor-alt [32] 100.0% [38] 618(2.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ------------------------------------------------------------------------ for-loop [33] 100.0% [39] 616(2.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 100.0% ------------------------------------------------------------------------ apply-match [31] 100.0% [40] 568(2.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [46] 100.0% ------------------------------------------------------------------------ apply-match [31] 100.0% [41] 202(0.9%) 202(0.9%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ------------------------------------------------------------------------ apply-match [31] 100.0% [42] 200(0.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [46] 100.0% ------------------------------------------------------------------------ ??? [34] 25.0% matcher [60] 75.0% [43] 200(0.9%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [51] 100.0% ------------------------------------------------------------------------ loop [35] 100.0% [44] 5570(26.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 53.6% make-exacts* [53] 42.4% loop [58] 3.9% ------------------------------------------------------------------------ match-e [36] 100.0% [45] 1020(4.8%) 200(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 68.6% list-cartesian-product [57] 21.6% ------------------------------------------------------------------------ substitute-e [42] 26.0% for-loop [40] 74.0% [46] 768(3.6%) 768(3.6%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------ location-do [47] 42.6% for-loop [38] 57.4% [47] 618(2.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 57.4% location-do [47] 42.6% ------------------------------------------------------------------------ atab-add-altn [39] 100.0% [48] 616(2.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [56] 100.0% ------------------------------------------------------------------------ match-e [36] 100.0% [49] 200(0.9%) 200(0.9%) curry* ...racket/collects/racket/function.rkt:44:2 ------------------------------------------------------------------------ merge-egraph-nodes! [37] 100.0% [50] 200(0.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [59] 100.0% ------------------------------------------------------------------------ rewriter [43] 100.0% [51] 200(0.9%) 200(0.9%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [60] 75.0% ------------------------------------------------------------------------ loop [44] 38.4% loop [35] 61.6% [52] 7780(36.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 58.8% loop [66] 38.4% ??? [71] 2.8% ------------------------------------------------------------------------ loop [44] 37.4% loop [35] 62.6% [53] 6324(29.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [61] 50.4% loop [66] 49.6% ------------------------------------------------------------------------ match-e [36] 21.6% for-loop [45] 78.4% [54] 1020(4.8%) 200(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [36] 80.4% ------------------------------------------------------------------------ location-do [47] 100.0% [55] 618(2.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [63] 67.6% f94 [78] 32.4% ------------------------------------------------------------------------ best-and-tied-at-points [48] 100.0% [56] 616(2.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [62] 100.0% ------------------------------------------------------------------------ for-loop [45] 100.0% [57] 220(1.0%) 220(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------ loop [44] 0.4% loop [58] 99.6% [58] 218(1.0%) 218(1.0%) loop /home/ztatlock/herbie/src/points.rkt:72:2 loop [58] 99.6% ------------------------------------------------------------------------ update-leader! [50] 100.0% [59] 200(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 100.0% ------------------------------------------------------------------------ for-loop [65] 16.7% matcher [60] 33.3% for-loop [51] 50.0% [60] 200(0.9%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 rewriter [43] 50.0% matcher [60] 33.3% for-loop [65] 16.7% ------------------------------------------------------------------------ f94 [78] 2.5% make-exacts* [53] 40.0% loop [52] 57.5% [61] 7968(37.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [66] 91.4% ??? [71] 6.1% ??? [70] 2.5% ------------------------------------------------------------------------ errors [56] 100.0% [62] 616(2.9%) 218(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [68] 32.5% ??? [71] 32.1% ------------------------------------------------------------------------ approximate9 [55] 100.0% [63] 418(2.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ------------------------------------------------------------------------ for-loop [59] 100.0% [64] 200(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [69] 100.0% ------------------------------------------------------------------------ matcher [60] 100.0% [65] 200(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [60] 100.0% ------------------------------------------------------------------------ loop [52] 0.0% make-exacts* [53] 0.1% loop! [73] 0.4% extract-alt [16] 0.7% match-e [36] 1.4% map [61] 2.0% loop [66] 95.3% [66] 14246(66.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [66] 95.3% ??? [71] 1.4% ->flonum [72] 0.8% simplify [3] 0.7% loop! [73] 0.4% ------------------------------------------------------------------------ for-loop [18] 9.6% for-loop [12] 9.6% ??? [79] 9.6% loop [63] 27.0% ??? [74] 44.3% [67] 418(2.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [74] 44.3% taylor-quotient [75] 17.4% ??? [79] 9.6% ??? [5] 9.6% ??? [4] 9.6% ??? [76] 9.6% ------------------------------------------------------------------------ for-loop [62] 100.0% [68] 200(0.9%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [82] 100.0% ------------------------------------------------------------------------ for-loop [64] 100.0% [69] 200(0.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [77] 100.0% ------------------------------------------------------------------------ map [61] 100.0% [70] 200(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f94 [78] 100.0% ------------------------------------------------------------------------ for-loop [62] 1.5% loop [52] 1.6% map [61] 3.6% loop [66] 93.3% [71] 13392(62.5%) 756(3.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [80] 74.5% real->bigfloat [81] 14.5% ??? [96] 5.4% ------------------------------------------------------------------------ loop [66] 100.0% [72] 910(4.2%) 220(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [82] 25.5% ??? [100] 25.5% ??? [83] 24.8% ------------------------------------------------------------------------ loop [66] 50.0% merge-egraph-nodes! [37] 50.0% [73] 442(2.1%) 442(2.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [66] 50.0% ------------------------------------------------------------------------ hash-ref! [67] 100.0% [74] 418(2.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [67] 100.0% ------------------------------------------------------------------------ hash-ref! [67] 100.0% [75] 218(1.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [84] 100.0% ------------------------------------------------------------------------ hash-ref! [67] 100.0% [76] 200(0.9%) 200(0.9%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 ------------------------------------------------------------------------ hash-update! [69] 100.0% [77] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [85] 100.0% ------------------------------------------------------------------------ f94 [78] 25.0% approximate9 [55] 25.0% ??? [70] 50.0% [78] 200(0.9%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [61] 50.0% f94 [78] 25.0% taylor [86] 25.0% ------------------------------------------------------------------------ hash-ref! [67] 100.0% [79] 200(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [80] 9972(46.6%) 462(2.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 63.4% bf* [87] 18.3% ...higher-order.rkt:373:33 [88] 13.7% ------------------------------------------------------------------------ ??? [71] 100.0% [81] 1938(9.0%) 1474(6.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 23.9% ------------------------------------------------------------------------ ulp-difference [68] 46.3% ->flonum [72] 53.7% [82] 432(2.0%) 432(2.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ->flonum [72] 100.0% [83] 226(1.1%) 226(1.1%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ------------------------------------------------------------------------ taylor-quotient [75] 100.0% [84] 218(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 make-multiplication-node [89] 100.0% ------------------------------------------------------------------------ ??? [77] 100.0% [85] 200(0.9%) 200(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------------ f94 [78] 100.0% [86] 200(0.9%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [90] 100.0% ------------------------------------------------------------------------ ??? [80] 100.0% [87] 1822(8.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ------------------------------------------------------------------------ ??? [80] 100.0% [88] 1364(6.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 100.0% ------------------------------------------------------------------------ simplify [84] 100.0% [89] 218(1.0%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [93]100.0% ------------------------------------------------------------------------ taylor [86] 100.0% [90] 200(0.9%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [94] 100.0% ------------------------------------------------------------------------ bf* [87] 22.4% ??? [80] 77.6% [91] 8146(38.0%) 746(3.5%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [95] 70.7% bfsqrt [97] 11.0% ??? [100] 9.1% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [88] 100.0% [92] 1364(6.4%) 270(1.3%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 80.2% ------------------------------------------------------------------------ make-multiplication-node [89] 100.0% [93] 218(1.0%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [98] 100.0% ------------------------------------------------------------------------ debug-print [90] 100.0% [94] 200(0.9%) 200(0.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ------------------------------------------------------------------------ ??? [91] 100.0% [95] 5762(26.9%) 2756(12.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 52.2% ------------------------------------------------------------------------ ??? [71] 39.9% ??? [92] 60.1% [96] 1820(8.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ------------------------------------------------------------------------ ??? [91] 100.0% [97] 898(4.2%) 462(2.2%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 48.6% ------------------------------------------------------------------------ make-multiplication-subnode [93]100.0% [98] 218(1.0%) 218(1.0%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------ bfsqrt [97] 11.2% real->bigfloat [81] 11.9% bfdiv [95] 77.0% [99] 3906(18.2%) 3906(18.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ->flonum [72] 8.3% ??? [91] 26.5% ??? [96] 65.2% [100] 2792(13.0%) 2320(10.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 16.9% ------------------------------------------------------------------------ ??? [100] 100.0% [101] 472(2.2%) 472(2.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------------