Profiling results ----------------- Total cpu time observed: 14870ms (out of 15164ms) Number of samples taken: 68 (once every 219ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [31] 100.0% [1] 14668(98.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% --------------------------------------------------------------------- ??? [31] 100.0% [2] 7488(50.4%) 212(1.4%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 94.2% get-final-combination [14] 2.9% --------------------------------------------------------------------- loop [81] 4.6% ??? [31] 95.4% [3] 4778(32.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 70.4% for-loop [12] 22.1% iterate-egraph!5 [18] 7.5% --------------------------------------------------------------------- hash-ref! [67] 100.0% [4] 560(3.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [67] 68.2% for-loop [15] 31.8% --------------------------------------------------------------------- hash-ref! [67] 100.0% [5] 534(3.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% --------------------------------------------------------------------- map [76] 17.4% loop [81] 82.6% [6] 386(2.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [67] 82.6% map [76] 17.4% --------------------------------------------------------------------- f6 [73] 100.0% [7] 204(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [69] 100.0% --------------------------------------------------------------------- hash-ref! [67] 100.0% [8] 178(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [16] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 14668(98.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 7056(47.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [11] 3364(22.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [12] 1054(7.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [13] 534(3.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [67] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 220(1.5%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [19] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [15] 178(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [67] 100.0% --------------------------------------------------------------------- ??? [8] 100.0% [16] 178(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [67] 100.0% --------------------------------------------------------------------- for-loop [10] 100.0% [17] 7056(47.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 64.6% gen-series! [22] 15.9% finalize-iter! [23] 14.1% localize-error [24] 5.5% --------------------------------------------------------------------- simplify [3] 7.5% for-loop [12] 22.1% simplify-expr [11] 70.4% [18] 4778(32.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 95.8% map-enodes [25] 4.2% --------------------------------------------------------------------- get-final-combination [14] 100.0% [19] 220(1.5%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [81] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [20] 4578(30.8%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 57.8% loop [28] 42.2% --------------------------------------------------------------------- run-iter! [17] 100.0% [21] 4558(30.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [22] 1120(7.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [23] 992(6.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [24] 386(2.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [67] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [25] 200(1.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [81] 100.0% --------------------------------------------------------------------- simplify! [21] 100.0% [26] 4558(30.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% --------------------------------------------------------------------- for-loop [27] 50.0% one-iter [20] 50.0% [27] 2646(17.8%) 622(4.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 50.0% match-e [38] 34.0% ??? [35] 4.2% --------------------------------------------------------------------- one-iter [20] 100.0% [28] 1932(13.0%) 222(1.5%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 88.5% --------------------------------------------------------------------- gen-series! [22] 100.0% [29] 1120(7.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% --------------------------------------------------------------------- finalize-iter! [23] 100.0% [30] 992(6.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 78.4% atab-add-altns [36] 21.6% --------------------------------------------------------------------- for-loop [26] 10.4% run [9] 44.4% [31] 14870(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.4% loop [37] 24.8% run-improve58 [2] 20.3% simplify [3] 10.4% --------------------------------------------------------------------- loop [28] 100.0% [32] 1710(11.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [41] 49.8% match-e [38] 38.4% loop! [43] 11.8% --------------------------------------------------------------------- for-loop [29] 100.0% [33] 1120(7.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% --------------------------------------------------------------------- ??? [30] 100.0% [34] 778(5.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [35] 224(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [42] 100.0% --------------------------------------------------------------------- ??? [30] 100.0% [36] 214(1.4%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [40] 100.0% --------------------------------------------------------------------- ??? [31] 100.0% [37] 7382(49.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [52] 57.9% loop [44] 42.1% --------------------------------------------------------------------- for-loop [56] 13.4% apply-match [32] 13.4% for-loop [27] 73.3% [38] 2456(16.5%) 1472(9.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 32.1% list-cartesian-product [57] 17.2% --------------------------------------------------------------------- taylor-alt [33] 100.0% [39] 1120(7.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% --------------------------------------------------------------------- atab-add-altns [36] 21.6% for-loop [34] 78.4% [40] 992(6.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% --------------------------------------------------------------------- apply-match [32] 100.0% [41] 852(5.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [48] 48.1% mk-enode! [49] 26.1% substitute-e [50] 25.8% --------------------------------------------------------------------- ??? [35] 100.0% [42] 224(1.5%) 224(1.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 --------------------------------------------------------------------- apply-match [32] 100.0% [43] 202(1.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [51] 100.0% --------------------------------------------------------------------- loop [37] 100.0% [44] 3108(20.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [53] 68.7% make-exacts* [52] 31.3% --------------------------------------------------------------------- location-do [45] 28.0% for-loop [39] 72.0% [45] 1120(7.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [54] 72.0% location-do [45] 28.0% --------------------------------------------------------------------- match-e [38] 100.0% [46] 1016(6.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [56] 72.5% loop [61] 17.5% list-cartesian-product [57] 9.9% --------------------------------------------------------------------- atab-add-altn [40] 100.0% [47] 992(6.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 100.0% --------------------------------------------------------------------- for-loop [41] 100.0% [48] 410(2.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [58] 100.0% --------------------------------------------------------------------- for-loop [41] 100.0% [49] 222(1.5%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [59] 100.0% --------------------------------------------------------------------- for-loop [41] 33.3% substitute-e [50] 66.7% [50] 220(1.5%) 220(1.5%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [50] 66.7% --------------------------------------------------------------------- loop! [43] 100.0% [51] 202(1.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [60] 100.0% --------------------------------------------------------------------- loop [44] 18.5% loop [37] 81.5% [52] 5246(35.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [76] 54.4% loop [81] 45.6% --------------------------------------------------------------------- loop [44] 100.0% [53] 2136(14.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [76] 100.0% --------------------------------------------------------------------- location-do [45] 100.0% [54] 1120(7.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 81.8% f6 [73] 18.2% --------------------------------------------------------------------- best-and-tied-at-points [47] 100.0% [55] 992(6.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 81.5% eval-prog [66] 18.5% --------------------------------------------------------------------- for-loop [46] 100.0% [56] 838(5.6%) 182(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [38] 78.3% --------------------------------------------------------------------- for-loop [46] 16.2% list-cartesian-product [57] 33.8% match-e [38] 50.0% [57] 624(4.2%) 624(4.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [57] 33.8% --------------------------------------------------------------------- merge-egraph-nodes! [48] 100.0% [58] 410(2.8%) 192(1.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [64] 53.2% --------------------------------------------------------------------- mk-enode! [49] 100.0% [59] 222(1.5%) 222(1.5%) hash-has-key? ...et/private/more-scheme.rkt:368:13 --------------------------------------------------------------------- custom-set-union [51] 100.0% [60] 202(1.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [65] 100.0% --------------------------------------------------------------------- for-loop [46] 100.0% [61] 178(1.2%) 178(1.2%) loop ...e/racket/collects/racket/function.rkt:53:6 --------------------------------------------------------------------- approximate9 [54] 100.0% [62] 916(6.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% --------------------------------------------------------------------- errors [55] 100.0% [63] 808(5.4%) 410(2.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [83] 25.0% ->flonum [84] 24.3% --------------------------------------------------------------------- for-loop [58] 100.0% [64] 218(1.5%) 218(1.5%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- for-loop [60] 100.0% [65] 202(1.4%) 202(1.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- errors [55] 100.0% [66] 184(1.2%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 go [68] 100.0% --------------------------------------------------------------------- for-loop [15] 2.3% ??? [75] 2.3% first-nonzero-exp [80] 2.7% for-loop [16] 2.7% ??? [4] 7.3% ??? [70] 10.1% ??? [71] 10.1% localize-error [24] 12.2% loop [62] 15.1% ??? [6] 17.4% for-loop [13] 17.8% [67] 1302(8.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f6 [73] 20.1% ??? [5] 17.8% simplify [69] 15.1% ??? [70] 12.3% parse-loop12 [79] 12.2% ??? [71] 10.1% ??? [4] 9.6% ??? [8] 2.7% --------------------------------------------------------------------- eval-prog [66] 100.0% [68] 184(1.2%) 0(0.0%) go .../collects/racket/private/qq-and-or.rkt:50:20 loop [72] 100.0% --------------------------------------------------------------------- taylor-invert [7] 18.2% hash-ref! [67] 81.8% [69] 1120(7.5%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [73] 50.0% parse-loop12 [79] 31.8% debug-print [74] 18.2% --------------------------------------------------------------------- hash-ref! [67] 100.0% [70] 738(5.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 75.9% ??? [75] 24.1% --------------------------------------------------------------------- hash-ref! [67] 100.0% [71] 560(3.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [67] 100.0% --------------------------------------------------------------------- go [68] 100.0% [72] 184(1.2%) 184(1.2%) loop ...llects/racket/private/qq-and-or.rkt:101:61 --------------------------------------------------------------------- approximate9 [54] 3.1% parse-loop12 [79] 5.0% f6 [73] 15.9% simplify [69] 16.3% map [76] 23.9% hash-ref! [67] 35.8% [73] 1328(8.9%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [76] 74.3% f6 [73] 15.9% taylor-quotient [78] 6.7% taylor-invert [7] 3.1% --------------------------------------------------------------------- simplify [69] 100.0% [74] 204(1.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [77] 100.0% --------------------------------------------------------------------- ??? [70] 100.0% [75] 178(1.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [67] 100.0% --------------------------------------------------------------------- parse-loop12 [79] 0.7% ??? [6] 1.1% f6 [73] 16.9% loop [53] 34.8% make-exacts* [52] 46.5% [76] 6142(41.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [81] 81.0% f6 [73] 7.3% parse-loop12 [79] 5.1% ??? [83] 4.3% ??? [6] 1.1% ->flonum [84] 1.1% --------------------------------------------------------------------- debug-print [74] 100.0% [77] 204(1.4%) 204(1.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- f6 [73] 100.0% [78] 178(1.2%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [80] 100.0% --------------------------------------------------------------------- loop [81] 4.6% simplify [69] 9.1% parse-loop12 [79] 21.4% hash-ref! [67] 29.6% map [76] 35.3% [79] 1302(8.8%) 738(5.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [81] 34.2% parse-loop12 [79] 21.4% map [76] 6.8% parse-app [82] 4.6% f6 [73] 3.8% --------------------------------------------------------------------- taylor-quotient [78] 100.0% [80] 178(1.2%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [67] 100.0% --------------------------------------------------------------------- make-exacts* [52] 0.0% parse-loop12 [79] 1.2% extract-alt [19] 1.4% map [76] 1.8% map-enodes [25] 2.5% loop [81] 93.1% [81] 8100(54.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [81] 93.1% for-loop [85] 2.5% ??? [83] 1.8% simplify [3] 1.4% parse-loop12 [79] 1.1% ??? [6] 0.2% ??? [90] 0.1% ->flonum [84] 0.0% --------------------------------------------------------------------- parse-loop12 [79] 100.0% [82] 178(1.2%) 178(1.2%) parse-app .../collects/racket/private/kw.rkt:903:2 --------------------------------------------------------------------- for-loop [63] 2.8% map [76] 3.6% loop [81] 93.6% [83] 7316(49.2%) 1138(7.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [86] 68.7% real->bigfloat [87] 15.8% --------------------------------------------------------------------- for-loop [63] 29.4% map [76] 30.3% loop [81] 40.2% [84] 666(4.5%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [88] 40.2% ??? [97] 30.3% ??? [89] 29.4% --------------------------------------------------------------------- loop [81] 100.0% [85] 200(1.3%) 200(1.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 --------------------------------------------------------------------- ??? [83] 100.0% [86] 5024(33.8%) 664(4.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 77.3% ...higher-order.rkt:373:33 [91] 9.5% --------------------------------------------------------------------- ??? [83] 100.0% [87] 1154(7.8%) 672(4.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 41.8% --------------------------------------------------------------------- ->flonum [84] 100.0% [88] 268(1.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [95] 100.0% --------------------------------------------------------------------- ->flonum [84] 100.0% [89] 196(1.3%) 196(1.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- loop [81] 4.5% ??? [86] 95.5% [90] 4066(27.3%) 1212(8.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [92] 34.5% bfsqrt [93] 24.5% ??? [97] 11.2% --------------------------------------------------------------------- ??? [86] 100.0% [91] 478(3.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% --------------------------------------------------------------------- ??? [90] 100.0% [92] 1404(9.4%) 960(6.5%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 31.6% --------------------------------------------------------------------- ??? [90] 100.0% [93] 996(6.7%) 776(5.2%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 22.1% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [91]100.0% [94] 478(3.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% --------------------------------------------------------------------- bfsqrt [93] 15.6% ??? [88] 19.0% bfdiv [92] 31.4% real->bigfloat [87] 34.1% [95] 1414(9.5%) 1414(9.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [94] 100.0% [96] 478(3.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% --------------------------------------------------------------------- ->flonum [84] 17.8% ??? [90] 40.0% ??? [96] 42.2% [97] 1134(7.6%) 674(4.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 40.6% --------------------------------------------------------------------- ??? [97] 100.0% [98] 460(3.1%) 258(1.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 43.9% --------------------------------------------------------------------- ??? [98] 100.0% [99] 202(1.4%) 202(1.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------