Profiling results ----------------- Total cpu time observed: 21068ms (out of 21388ms) Number of samples taken: 90 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 101 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [22] 100.0% [1] 20444(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% --------------------------------------------------------------------- ??? [22] 100.0% [2] 13144(62.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [4] 92.1% get-final-combination [5] 3.3% setup-prog [6] 3.0% loop [30] 1.5% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [3] 20444(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [4] 12104(57.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [7] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 440(2.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [8] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 400(1.9%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [9] 100.0% --------------------------------------------------------------------- for-loop [4] 100.0% [7] 12104(57.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [11] 91.5% finalize-iter! [12] 3.3% gen-rewrites! [13] 1.8% localize-error [14] 1.7% gen-series! [15] 1.7% --------------------------------------------------------------------- get-final-combination [5] 100.0% [8] 440(2.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [55] 100.0% --------------------------------------------------------------------- setup-prog [6] 100.0% [9] 400(1.9%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [10] 100.0% --------------------------------------------------------------------- simplify-alt [9] 3.4% loop [55] 3.7% ??? [22] 93.0% [10] 11920(56.6%) 200(0.9%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 62.0% for-loop [18] 27.8% iterate-egraph!5 [23] 8.6% --------------------------------------------------------------------- run-iter! [7] 100.0% [11] 11080(52.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 100.0% --------------------------------------------------------------------- run-iter! [7] 100.0% [12] 404(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [19] 100.0% --------------------------------------------------------------------- run-iter! [7] 100.0% [13] 220(1.0%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [20] 100.0% --------------------------------------------------------------------- run-iter! [7] 100.0% [14] 200(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [74] 100.0% --------------------------------------------------------------------- run-iter! [7] 100.0% [15] 200(0.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [21] 100.0% --------------------------------------------------------------------- simplify! [11] 100.0% [16] 11080(52.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 100.0% --------------------------------------------------------------------- simplify [10] 100.0% [17] 7390(35.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 94.3% mk-egraph [26] 3.0% loop [27] 2.7% --------------------------------------------------------------------- simplify [10] 100.0% [18] 3308(15.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 100.0% --------------------------------------------------------------------- finalize-iter! [12] 100.0% [19] 404(1.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [24] 100.0% --------------------------------------------------------------------- gen-rewrites! [13] 100.0% [20] 220(1.0%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [25] 100.0% --------------------------------------------------------------------- gen-series! [15] 100.0% [21] 200(0.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% --------------------------------------------------------------------- for-loop [16] 18.0% run [3] 40.5% [22] 20848(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.5% run-improve58 [2] 23.0% loop [30] 18.5% simplify [10] 18.0% --------------------------------------------------------------------- simplify [10] 9.0% for-loop [18] 29.3% simplify-expr [17] 61.7% [23] 11298(53.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [29] 98.2% --------------------------------------------------------------------- ??? [19] 100.0% [24] 404(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [31] 100.0% --------------------------------------------------------------------- for-loop [20] 100.0% [25] 220(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [32] 100.0% --------------------------------------------------------------------- simplify-expr [17] 100.0% [26] 220(1.0%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [33] 100.0% --------------------------------------------------------------------- simplify-expr [17] 100.0% [27] 202(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [34] 100.0% --------------------------------------------------------------------- for-loop [21] 100.0% [28] 200(0.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [29] 11098(52.7%) 400(1.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [36] 53.1% loop [37] 41.4% apply-match [44] 2.0% --------------------------------------------------------------------- run-improve58 [2] 2.5% ??? [22] 97.5% [30] 7904(37.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [43] 48.4% loop [38] 39.8% loop [45] 11.8% --------------------------------------------------------------------- for-loop [24] 100.0% [31] 404(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [39] 100.0% --------------------------------------------------------------------- ??? [25] 100.0% [32] 220(1.0%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [40] 100.0% --------------------------------------------------------------------- mk-egraph [26] 33.3% expr->enode [33] 66.7% [33] 220(1.0%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [33] 66.7% mk-enode! [58] 33.3% --------------------------------------------------------------------- loop [27] 100.0% [34] 202(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [41] 100.0% --------------------------------------------------------------------- taylor-alt [28] 100.0% [35] 200(0.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [42] 100.0% --------------------------------------------------------------------- for-loop [36] 48.3% one-iter [29] 51.7% [36] 5888(27.9%) 1040(4.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [36] 48.3% match-e [49] 41.2% --------------------------------------------------------------------- one-iter [29] 100.0% [37] 4590(21.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [44] 100.0% --------------------------------------------------------------------- loop [30] 100.0% [38] 3146(14.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [43] 53.3% loop [45] 46.7% --------------------------------------------------------------------- atab-add-altn [31] 100.0% [39] 404(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [46] 100.0% --------------------------------------------------------------------- rewriter [32] 100.0% [40] 220(1.0%) 220(1.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 --------------------------------------------------------------------- pass [34] 100.0% [41] 202(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [47] 100.0% --------------------------------------------------------------------- for-loop [35] 100.0% [42] 200(0.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [48] 100.0% --------------------------------------------------------------------- loop [38] 30.5% loop [30] 69.5% [43] 5498(26.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [55] 64.5% map [50] 35.5% --------------------------------------------------------------------- one-iter [29] 4.6% loop [37] 95.4% [44] 4810(22.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [51] 57.8% update-leader! [56] 16.8% match-e [49] 12.9% substitute-e [52] 8.4% mk-enode! [58] 4.2% --------------------------------------------------------------------- loop [30] 38.9% loop [38] 61.1% [45] 2406(11.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [50] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [46] 404(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [53] 50.0% for-loop [54] 50.0% --------------------------------------------------------------------- for-loop [41] 100.0% [47] 202(1.0%) 202(1.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 --------------------------------------------------------------------- location-do [42] 100.0% [48] 200(0.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [73] 100.0% --------------------------------------------------------------------- apply-match [44] 9.3% for-loop [63] 15.6% for-loop [36] 75.1% [49] 5468(26.0%) 3146(14.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [57] 31.8% for-loop [63] 9.2% list-cartesian-product [60] 3.7% loop [55] 3.7% --------------------------------------------------------------------- f94 [73] 4.2% parse-loop12 [80] 4.2% make-exacts* [43] 41.0% loop [45] 50.6% [50] 4756(22.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [55] 91.6% ??? [64] 6.3% f94 [73] 2.1% --------------------------------------------------------------------- apply-match [44] 100.0% [51] 2778(13.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [56] 91.4% loop! [59] 8.6% --------------------------------------------------------------------- apply-match [44] 100.0% [52] 402(1.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [58] 100.0% --------------------------------------------------------------------- errors [46] 100.0% [53] 202(1.0%) 202(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- errors [46] 100.0% [54] 202(1.0%) 202(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 --------------------------------------------------------------------- make-exacts* [43] 0.1% map [50] 0.6% match-e [49] 1.1% extract-alt [8] 2.0% parse-loop12 [80] 2.2% loop [55] 93.9% [55] 9164(43.5%) 200(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [55] 93.9% ??? [64] 2.2% simplify [10] 2.0% ??? [61] 0.7% ->flonum [89] 0.0% --------------------------------------------------------------------- apply-match [44] 24.1% merge-egraph-nodes! [51] 75.9% [56] 3346(15.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [62] 100.0% --------------------------------------------------------------------- match-e [49] 100.0% [57] 1958(9.3%) 1518(7.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [63] 39.2% --------------------------------------------------------------------- apply-match [44] 24.5% expr->enode [33] 26.7% substitute-e [52] 48.8% [58] 824(3.9%) 402(1.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [66] 26.7% new-enode [67] 24.5% --------------------------------------------------------------------- merge-egraph-nodes! [51] 100.0% [59] 240(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [65] 100.0% --------------------------------------------------------------------- match-e [49] 100.0% [60] 200(0.9%) 200(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 --------------------------------------------------------------------- loop [55] 100.0% [61] 7658(36.3%) 958(4.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [68] 62.2% real->bigfloat [70] 16.0% ??? [88] 9.3% --------------------------------------------------------------------- update-leader! [56] 100.0% [62] 3346(15.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [69] 100.0% --------------------------------------------------------------------- match-e [49] 42.4% for-loop [57] 57.6% [63] 1904(9.0%) 202(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [49] 89.4% --------------------------------------------------------------------- loop [55] 25.0% map [50] 75.0% [64] 400(1.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [74] 50.0% f94 [73] 50.0% --------------------------------------------------------------------- loop! [59] 100.0% [65] 240(1.1%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [71] 100.0% --------------------------------------------------------------------- mk-enode! [58] 100.0% [66] 220(1.0%) 220(1.0%) hash-has-key? ...et/private/more-scheme.rkt:368:13 --------------------------------------------------------------------- mk-enode! [58] 100.0% [67] 202(1.0%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [72] 100.0% --------------------------------------------------------------------- ??? [61] 100.0% [68] 4760(22.6%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [82] 30.0% ??? [86] 28.9% ...higher-order.rkt:373:33 [76] 19.5% bffma [77] 16.0% ...ow-val-first.rkt:357:18 [78] 5.7% --------------------------------------------------------------------- for-loop [62] 100.0% [69] 3346(15.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [75] 100.0% --------------------------------------------------------------------- ??? [61] 100.0% [70] 1226(5.8%) 770(3.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 37.2% --------------------------------------------------------------------- custom-set-union [65] 100.0% [71] 240(1.1%) 240(1.1%) for-loop ...cts/racket/private/set-types.rkt:152:2 --------------------------------------------------------------------- new-enode [67] 100.0% [72] 202(1.0%) 202(1.0%) mutable-set ...racket/private/set-types.rkt:1000:0 --------------------------------------------------------------------- map [50] 25.0% f94 [73] 25.0% ??? [64] 25.0% approximate9 [48] 25.0% [73] 200(0.9%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [50] 50.0% f94 [73] 25.0% taylor-exp [79] 25.0% --------------------------------------------------------------------- localize-error [14] 33.3% ??? [64] 66.7% [74] 200(0.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [80] 100.0% --------------------------------------------------------------------- for-loop [69] 100.0% [75] 3346(15.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [81] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [76] 926(4.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [83] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [77] 762(3.6%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [82] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [78] 270(1.3%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [83] 100.0% --------------------------------------------------------------------- f94 [73] 100.0% [79] 200(0.9%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [84] 100.0% --------------------------------------------------------------------- hash-ref! [74] 100.0% [80] 200(0.9%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 map [50] 33.3% loop [55] 33.3% loop [85] 33.3% --------------------------------------------------------------------- hash-update! [75] 100.0% [81] 3346(15.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [87] 100.0% --------------------------------------------------------------------- bffma [77] 34.8% ??? [68] 65.2% [82] 2188(10.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [86] 100.0% --------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [78] 22.6% ...higher-order.rkt:373:33 [76] 77.4% [83] 1196(5.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [88] 100.0% --------------------------------------------------------------------- taylor-exp [79] 100.0% [84] 200(0.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [90] 100.0% --------------------------------------------------------------------- parse-loop12 [80] 1.2% loop [85] 98.8% [85] 200(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [85] 98.8% ->flonum [89] 1.2% --------------------------------------------------------------------- ??? [68] 38.6% bf* [82] 61.4% [86] 3564(16.9%) 210(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [91] 88.5% bfexp [95] 5.6% --------------------------------------------------------------------- ??? [81] 100.0% [87] 3346(15.9%) 2726(12.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [93] 18.5% --------------------------------------------------------------------- ??? [61] 37.4% ??? [83] 62.6% [88] 1910(9.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [92] 100.0% --------------------------------------------------------------------- loop [85] 30.0% loop [55] 70.0% [89] 666(3.2%) 200(0.9%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [92] 39.9% ??? [94] 30.0% --------------------------------------------------------------------- simplify [84] 100.0% [90] 200(0.9%) 200(0.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 --------------------------------------------------------------------- ??? [86] 100.0% [91] 3154(15.0%) 2600(12.3%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 17.6% --------------------------------------------------------------------- ->flonum [89] 12.2% ??? [88] 87.8% [92] 2176(10.3%) 984(4.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 54.8% --------------------------------------------------------------------- for-loop [87] 100.0% [93] 620(2.9%) 620(2.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- ->flonum [89] 100.0% [94] 200(0.9%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [96] 100.0% --------------------------------------------------------------------- ??? [86] 100.0% [95] 200(0.9%) 0(0.0%) bfexp ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 100.0% --------------------------------------------------------------------- bfexp [95] 14.2% ??? [94] 14.2% real->bigfloat [70] 32.3% bfsub [91] 39.3% [96] 1410(6.7%) 1410(6.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [92] 100.0% [97] 1192(5.7%) 926(4.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 22.3% --------------------------------------------------------------------- ??? [97] 100.0% [98] 266(1.3%) 266(1.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------