Profiling results ----------------- Total cpu time observed: 52788ms (out of 53396ms) Number of samples taken: 224 (once every 236ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [29] 100.0% [1] 52586(99.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ------------------------------------------------------------------------ ??? [29] 100.0% [2] 12428(23.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 94.6% loop [34] 3.7% get-final-combination [9] 1.8% ------------------------------------------------------------------------ ??? [29] 100.0% [3] 9846(18.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 47.5% for-loop [8] 30.5% iterate-egraph!5 [11] 22.0% ------------------------------------------------------------------------ f6 [60] 100.0% [4] 200(0.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [55] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 99.6% [5] 52788(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [6] 11752(22.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [7] 4680(8.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 91.5% loop [12] 8.5% ------------------------------------------------------------------------ simplify [3] 100.0% [8] 3004(5.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [9] 218(0.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% ------------------------------------------------------------------------ for-loop [6] 100.0% [10] 11752(22.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 83.8% finalize-iter! [16] 7.2% gen-series! [17] 5.4% localize-error [18] 3.7% ------------------------------------------------------------------------ simplify [3] 22.9% for-loop [8] 31.8% simplify-expr [7] 45.3% [11] 9446(17.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [15] 100.0% ------------------------------------------------------------------------ simplify-expr [7] 100.0% [12] 400(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [19] 100.0% ------------------------------------------------------------------------ get-final-combination [9] 100.0% [13] 218(0.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [20] 100.0% ------------------------------------------------------------------------ run-iter! [10] 100.0% [14] 9846(18.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [11] 100.0% [15] 9446(17.9%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [22] 57.5% loop [23] 35.8% apply-match [30] 4.5% loop [27] 2.3% ------------------------------------------------------------------------ run-iter! [10] 100.0% [16] 842(1.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ------------------------------------------------------------------------ run-iter! [10] 100.0% [17] 632(1.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ------------------------------------------------------------------------ run-iter! [10] 100.0% [18] 432(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [73] 100.0% ------------------------------------------------------------------------ loop [12] 100.0% [19] 400(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [26] 100.0% ------------------------------------------------------------------------ extract-alt [13] 100.0% [20] 218(0.4%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [28] 100.0% ------------------------------------------------------------------------ simplify! [14] 100.0% [21] 9846(18.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ------------------------------------------------------------------------ for-loop [22] 50.0% one-iter [15] 50.0% [22] 5428(10.3%) 1038(2.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [22] 50.0% match-e [35] 40.4% ------------------------------------------------------------------------ one-iter [15] 100.0% [23] 3378(6.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [30] 100.0% ------------------------------------------------------------------------ finalize-iter! [16] 100.0% [24] 842(1.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 100.0% ------------------------------------------------------------------------ gen-series! [17] 100.0% [25] 632(1.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ------------------------------------------------------------------------ pass [19] 100.0% [26] 400(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [33] 100.0% ------------------------------------------------------------------------ one-iter [15] 100.0% [27] 218(0.4%) 218(0.4%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------ loop [20] 100.0% [28] 218(0.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [54] 100.0% ------------------------------------------------------------------------ for-loop [21] 6.2% run [5] 47.1% [29] 52788(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.7% loop [34] 38.2% run-improve58 [2] 8.9% simplify [3] 6.2% ------------------------------------------------------------------------ one-iter [15] 11.1% loop [23] 88.9% [30] 3800(7.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [36] 33.4% match-e [35] 27.9% update-leader! [44] 16.4% for-loop [39] 10.7% substitute-e [41] 5.8% loop! [83] 5.8% ------------------------------------------------------------------------ ??? [24] 100.0% [31] 842(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% ------------------------------------------------------------------------ for-loop [25] 100.0% [32] 632(1.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% ------------------------------------------------------------------------ for-loop [26] 100.0% [33] 400(0.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [40] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 1.1% ??? [29] 98.9% [34] 40818(77.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [50] 66.1% loop [42] 33.4% loop [51] 0.5% ------------------------------------------------------------------------ for-loop [52] 11.7% apply-match [30] 13.4% for-loop [22] 74.8% [35] 5452(10.3%) 2262(4.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [43] 49.3% list-cartesian-product [47] 5.5% for-loop [52] 3.9% curry* [56] 1.8% ------------------------------------------------------------------------ merge-egraph-nodes! [36] 15.9% apply-match [30] 84.1% [36] 1268(2.4%) 202(0.4%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [44] 68.3% merge-egraph-nodes! [36] 15.9% loop! [83] 7.9% ------------------------------------------------------------------------ for-loop [31] 100.0% [37] 842(1.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% ------------------------------------------------------------------------ taylor-alt [32] 100.0% [38] 632(1.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% ------------------------------------------------------------------------ apply-match [30] 100.0% [39] 406(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [83] 100.0% ------------------------------------------------------------------------ argmin [33] 100.0% [40] 400(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [48] 100.0% ------------------------------------------------------------------------ apply-match [30] 100.0% [41] 222(0.4%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [49] 100.0% ------------------------------------------------------------------------ loop [34] 100.0% [42] 13616(25.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 64.0% make-exacts* [50] 36.0% ------------------------------------------------------------------------ match-e [35] 100.0% [43] 2988(5.7%) 1926(3.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [52] 35.8% curry* [56] 7.4% ------------------------------------------------------------------------ apply-match [30] 41.8% merge-egraph-nodes! [36] 58.2% [44] 1488(2.8%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [53] 100.0% ------------------------------------------------------------------------ atab-add-altn [37] 100.0% [45] 842(1.6%) 202(0.4%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [54] 52.0% for-loop [58] 24.0% ------------------------------------------------------------------------ location-do [46] 15.8% for-loop [38] 84.2% [46] 632(1.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [57] 50.6% simplify [55] 33.5% location-do [46] 15.8% ------------------------------------------------------------------------ match-e [35] 100.0% [47] 402(0.8%) 402(0.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 ------------------------------------------------------------------------ expression-cost [40] 100.0% [48] 400(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [73] 100.0% ------------------------------------------------------------------------ substitute-e [41] 100.0% [49] 222(0.4%) 222(0.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------ loop [42] 15.4% loop [34] 84.6% [50] 31882(60.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [66] 50.5% loop [80] 49.5% ------------------------------------------------------------------------ loop [34] 2.4% loop [42] 97.6% [51] 8936(16.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [66] 100.0% ------------------------------------------------------------------------ match-e [35] 24.4% for-loop [43] 75.6% [52] 1720(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 74.4% ??? [61] 25.6% ------------------------------------------------------------------------ update-leader! [44] 100.0% [53] 1488(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [59] 100.0% ------------------------------------------------------------------------ composed [28] 33.2% best-and-tied-at-points [45] 66.8% [54] 656(1.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [62] 66.2% eval-prog [64] 33.8% ------------------------------------------------------------------------ taylor-invert [4] 31.6% location-do [46] 33.5% hash-ref! [73] 34.8% [55] 632(1.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [75] 66.5% f6 [60] 33.5% ------------------------------------------------------------------------ match-e [35] 47.4% for-loop [43] 52.6% [56] 422(0.8%) 200(0.4%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [63] 52.6% ------------------------------------------------------------------------ location-do [46] 100.0% [57] 420(0.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [65] 52.4% f6 [60] 47.6% ------------------------------------------------------------------------ best-and-tied-at-points [45] 100.0% [58] 202(0.4%) 202(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------ for-loop [53] 100.0% [59] 1488(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% ------------------------------------------------------------------------ map [66] 7.9% f6 [60] 7.9% approximate9 [57] 7.9% simplify [55] 25.1% hash-ref! [73] 51.2% [60] 844(1.6%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [66] 84.2% f6 [60] 7.9% taylor-invert [4] 7.9% ------------------------------------------------------------------------ for-loop [52] 100.0% [61] 440(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [68] 100.0% ------------------------------------------------------------------------ errors [54] 100.0% [62] 434(0.8%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [82] 50.2% ->flonum [84] 49.8% ------------------------------------------------------------------------ curry* [56] 100.0% [63] 222(0.4%) 222(0.4%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------ errors [54] 100.0% [64] 222(0.4%) 222(0.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ------------------------------------------------------------------------ approximate9 [57] 100.0% [65] 220(0.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [73] 100.0% ------------------------------------------------------------------------ f6 [60] 3.3% loop [51] 34.5% make-exacts* [50] 62.2% [66] 25884(49.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 97.6% simplify-node [71] 0.8% f6 [60] 0.8% ??? [70] 0.4% ??? [95] 0.4% ------------------------------------------------------------------------ for-loop [59] 100.0% [67] 1488(2.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [69] 100.0% ------------------------------------------------------------------------ ??? [61] 100.0% [68] 440(0.8%) 440(0.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------ hash-update! [67] 100.0% [69] 1488(2.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [72] 100.0% ------------------------------------------------------------------------ map [66] 17.1% loop [80] 82.9% [70] 432(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [73] 100.0% ------------------------------------------------------------------------ map [66] 100.0% [71] 212(0.4%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [74] 100.0% ------------------------------------------------------------------------ ??? [69] 100.0% [72] 1488(2.8%) 1086(2.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [76] 27.0% ------------------------------------------------------------------------ ??? [79] 7.0% ??? [78] 7.0% loop [65] 7.0% localize-error [18] 11.9% compile [48] 14.3% ??? [77] 23.8% ??? [70] 29.1% [73] 1052(2.0%) 400(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [75] 23.9% ??? [77] 23.8% f6 [60] 17.2% ??? [78] 7.0% ??? [79] 7.0% simplify [55] 7.0% ------------------------------------------------------------------------ simplify-node [71] 100.0% [74] 212(0.4%) 212(0.4%) append-map ...acket/collects/racket/list.rkt:565:2 ------------------------------------------------------------------------ simplify [55] 49.3% hash-ref! [73] 50.7% [75] 852(1.6%) 200(0.4%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [80] 50.7% parse-app [81] 25.8% ------------------------------------------------------------------------ for-loop [72] 100.0% [76] 402(0.8%) 402(0.8%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ hash-ref! [73] 100.0% [77] 400(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [73] 100.0% ------------------------------------------------------------------------ hash-ref! [73] 100.0% [78] 220(0.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [73] 100.0% ------------------------------------------------------------------------ hash-ref! [73] 100.0% [79] 220(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [73] 100.0% ------------------------------------------------------------------------ make-exacts* [50] 0.1% parse-loop12 [75] 0.6% loop! [83] 0.6% map [66] 0.9% loop [80] 97.8% [80] 41672(78.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 97.8% ??? [82] 1.0% loop! [83] 0.6% ??? [70] 0.6% ??? [95] 0.0% ->flonum [84] 0.0% ------------------------------------------------------------------------ parse-loop12 [75] 100.0% [81] 220(0.4%) 220(0.4%) parse-app .../collects/racket/private/kw.rkt:903:2 ------------------------------------------------------------------------ for-loop [62] 0.5% loop [80] 99.5% [82] 40804(77.3%) 712(1.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 94.8% real->bigfloat [86] 3.5% ------------------------------------------------------------------------ apply-match [30] 13.3% merge-egraph-nodes! [36] 24.2% loop [80] 25.5% for-loop [39] 36.9% [83] 826(1.6%) 202(0.4%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [87] 48.9% loop [80] 25.5% set [88] 13.3% ------------------------------------------------------------------------ for-loop [62] 48.2% loop [80] 51.8% [84] 448(0.8%) 232(0.4%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [89] 48.2% ------------------------------------------------------------------------ ??? [82] 100.0% [85] 38672(73.3%) 456(0.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [95] 92.5% bffma [90] 5.2% ...higher-order.rkt:373:33 [92] 0.6% bf* [93] 0.5% ------------------------------------------------------------------------ ??? [82] 100.0% [86] 1420(2.7%) 1420(2.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ------------------------------------------------------------------------ loop! [83] 100.0% [87] 404(0.8%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [91] 100.0% ------------------------------------------------------------------------ loop! [83] 100.0% [88] 220(0.4%) 220(0.4%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ ->flonum [84] 100.0% [89] 216(0.4%) 216(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [85] 100.0% [90] 2008(3.8%) 240(0.5%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [93] 88.0% ------------------------------------------------------------------------ custom-set-union [87] 100.0% [91] 404(0.8%) 404(0.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 ------------------------------------------------------------------------ ??? [85] 100.0% [92] 236(0.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ------------------------------------------------------------------------ ??? [85] 10.2% bffma [90] 89.8% [93] 1968(3.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [95] 100.0% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [92]100.0% [94] 236(0.4%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ------------------------------------------------------------------------ loop [80] 0.6% map [66] 0.6% bf* [93] 5.2% ??? [85] 93.7% [95] 38172(72.3%) 33034(62.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [96] 7.6% ??? [97] 3.8% bfcos [98] 2.1% ------------------------------------------------------------------------ ??? [95] 100.0% [96] 2902(5.5%) 1230(2.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 57.6% ------------------------------------------------------------------------ ??? [94] 14.1% ??? [95] 85.9% [97] 1678(3.2%) 1170(2.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 30.3% ------------------------------------------------------------------------ ??? [95] 100.0% [98] 794(1.5%) 524(1.0%) bfcos ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 34.0% ------------------------------------------------------------------------ bfcos [98] 13.9% bfmul [96] 86.1% [99] 1942(3.7%) 1942(3.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [97] 100.0% [100] 508(1.0%) 508(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------------