Profiling results ----------------- Total cpu time observed: 20678ms (out of 21028ms) Number of samples taken: 88 (once every 235ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [27] 100.0% [1] 19622(94.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [2] 9360(45.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 76.5% loop [32] 12.8% finalize-table! [10] 10.7% ---------------------------------------------------------------------- ??? [27] 100.0% [3] 6322(30.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 43.4% iterate-egraph!5 [12] 40.1% for-loop [9] 16.5% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [4] 1126(5.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [61] 100.0% ---------------------------------------------------------------------- loop [61] 100.0% [5] 600(2.9%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [8] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 19622(94.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 7158(34.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [5] 18.0% simplify [3] 82.0% [8] 3342(16.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 1042(5.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1000(4.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [13] 100.0% ---------------------------------------------------------------------- for-loop [7] 100.0% [11] 7158(34.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [15] 85.3% localize-error [17] 6.0% finalize-iter! [18] 6.0% gen-series! [20] 2.8% ---------------------------------------------------------------------- for-loop [9] 15.1% simplify [3] 36.7% simplify-expr [8] 48.3% [12] 6922(33.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [14] 90.8% map-enodes [16] 9.2% ---------------------------------------------------------------------- finalize-table! [10] 100.0% [13] 1000(4.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [61] 60.0% ??? [24] 20.0% for-loop [19] 20.0% ---------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [14] 6286(30.4%) 222(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [22] 62.4% loop [23] 27.4% apply-match [28] 6.7% ---------------------------------------------------------------------- run-iter! [11] 100.0% [15] 6104(29.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [16] 636(3.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [61] 65.7% for-loop [68] 34.3% ---------------------------------------------------------------------- run-iter! [11] 100.0% [17] 428(2.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [67] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [18] 426(2.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ---------------------------------------------------------------------- post-process [13] 100.0% [19] 200(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [25] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [20] 200(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% ---------------------------------------------------------------------- simplify! [15] 100.0% [21] 6104(29.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 100.0% ---------------------------------------------------------------------- for-loop [22] 50.0% one-iter [14] 50.0% [22] 3924(19.0%) 618(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [22] 50.0% match-e [33] 42.1% ---------------------------------------------------------------------- one-iter [14] 100.0% [23] 1720(8.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [28] 100.0% ---------------------------------------------------------------------- post-process [13] 31.9% finalize-iter! [18] 68.1% [24] 626(3.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 68.1% atab-add-altns [31] 31.9% ---------------------------------------------------------------------- for-loop [19] 100.0% [25] 200(1.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [30] 100.0% ---------------------------------------------------------------------- gen-series! [20] 100.0% [26] 200(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ---------------------------------------------------------------------- for-loop [21] 10.0% run [6] 42.7% [27] 20678(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.7% loop [32] 27.9% run-improve58 [2] 18.4% simplify [3] 11.1% ---------------------------------------------------------------------- one-iter [14] 19.6% loop [23] 80.4% [28] 2140(10.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [33] 41.1% loop! [69] 29.0% update-leader! [41] 10.3% merge-egraph-nodes! [36] 10.3% mk-enode! [37] 9.3% ---------------------------------------------------------------------- ??? [24] 100.0% [29] 426(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [34] 100.0% ---------------------------------------------------------------------- for-loop [26] 50.0% append-map [25] 50.0% [30] 400(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% ---------------------------------------------------------------------- ??? [24] 100.0% [31] 200(1.0%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [34] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 9.8% ??? [27] 90.2% [32] 12302(59.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [38] 49.3% make-exacts* [44] 28.0% loop [45] 22.7% ---------------------------------------------------------------------- for-loop [46] 15.4% apply-match [28] 15.5% for-loop [22] 69.1% [33] 4186(20.2%) 1428(6.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [39] 48.5% list-cartesian-product [47] 12.0% for-loop [46] 7.7% ---------------------------------------------------------------------- atab-add-altns [31] 31.9% for-loop [29] 68.1% [34] 626(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [40] 100.0% ---------------------------------------------------------------------- taylor-alt [30] 100.0% [35] 400(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [42] 100.0% ---------------------------------------------------------------------- apply-match [28] 100.0% [36] 220(1.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [41] 100.0% ---------------------------------------------------------------------- apply-match [28] 100.0% [37] 200(1.0%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [43] 100.0% ---------------------------------------------------------------------- loop [32] 100.0% [38] 6060(29.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [44] 49.1% loop [45] 31.8% eval-prog [55] 19.1% ---------------------------------------------------------------------- match-e [33] 100.0% [39] 2152(10.4%) 1080(5.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [46] 45.3% curry* [51] 10.1% list-cartesian-product [47] 4.7% ---------------------------------------------------------------------- atab-add-altn [34] 100.0% [40] 626(3.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [49] 67.7% for-loop [52] 32.3% ---------------------------------------------------------------------- merge-egraph-nodes! [36] 50.0% apply-match [28] 50.0% [41] 440(2.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [48] 100.0% ---------------------------------------------------------------------- location-do [42] 37.5% for-loop [35] 62.5% [42] 400(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [50] 62.5% location-do [42] 37.5% ---------------------------------------------------------------------- mk-enode! [37] 100.0% [43] 200(1.0%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [53] 100.0% ---------------------------------------------------------------------- loop [38] 46.3% loop [32] 53.7% [44] 6422(31.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [54] 40.6% loop [61] 35.1% eval-prog [55] 24.3% ---------------------------------------------------------------------- loop [38] 40.8% loop [32] 59.2% [45] 4722(22.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [54] 100.0% ---------------------------------------------------------------------- match-e [33] 33.3% for-loop [39] 66.7% [46] 1942(9.4%) 432(2.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [33] 66.4% ??? [58] 11.3% ---------------------------------------------------------------------- for-loop [39] 25.0% list-cartesian-product [47] 37.5% match-e [33] 37.5% [47] 808(3.9%) 808(3.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [47] 37.5% ---------------------------------------------------------------------- update-leader! [41] 100.0% [48] 440(2.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [56] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [49] 424(2.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [57] 100.0% ---------------------------------------------------------------------- location-do [42] 100.0% [50] 400(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [59] 50.0% taylor-quotient [60] 50.0% ---------------------------------------------------------------------- for-loop [39] 100.0% [51] 218(1.1%) 218(1.1%) curry* ...racket/collects/racket/function.rkt:44:2 ---------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [52] 202(1.0%) 202(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- new-enode [43] 100.0% [53] 200(1.0%) 200(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- f6 [90] 5.5% make-exacts* [44] 33.6% loop [45] 60.9% [54] 7756(37.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [61] 97.1% ??? [63] 2.9% ---------------------------------------------------------------------- loop [38] 42.6% make-exacts* [44] 57.4% [55] 2720(13.2%) 234(1.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [67] 82.9% inductor [92] 8.5% ---------------------------------------------------------------------- for-loop [48] 100.0% [56] 440(2.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [62] 100.0% ---------------------------------------------------------------------- errors [49] 100.0% [57] 424(2.1%) 200(1.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [66] 52.8% ---------------------------------------------------------------------- for-loop [46] 100.0% [58] 220(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [64] 100.0% ---------------------------------------------------------------------- approximate9 [50] 100.0% [59] 200(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [67] 100.0% ---------------------------------------------------------------------- approximate9 [50] 100.0% [60] 200(1.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [65] 100.0% ---------------------------------------------------------------------- make-exacts* [44] 0.2% parse-loop12 [82] 0.3% map-enodes [16] 0.5% post-process [13] 0.9% loop! [69] 2.4% map [54] 3.2% ??? [4] 9.1% loop [61] 83.4% [61] 12374(59.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [61] 83.4% hash-ref! [67] 9.1% ??? [66] 3.1% loop! [69] 2.4% completely-simplify-alt [5] 0.9% for-loop [68] 0.5% ??? [79] 0.3% ??? [63] 0.3% ---------------------------------------------------------------------- for-loop [56] 100.0% [62] 440(2.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ---------------------------------------------------------------------- loop [61] 46.7% map [54] 53.3% [63] 428(2.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [67] 100.0% ---------------------------------------------------------------------- ??? [58] 100.0% [64] 220(1.1%) 220(1.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- taylor-quotient [60] 100.0% [65] 200(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [67] 100.0% ---------------------------------------------------------------------- for-loop [57] 2.3% loop [61] 97.7% [66] 9806(47.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [71] 73.3% real->bigfloat [72] 24.4% ??? [93] 2.3% ---------------------------------------------------------------------- ??? [78] 3.2% loop [59] 3.2% first-nonzero-exp [65] 6.5% ??? [63] 6.9% localize-error [17] 6.9% loop [61] 23.5% eval-prog [55] 49.7% [67] 3084(14.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [73] 49.7% ??? [4] 23.5% simplify [76] 9.7% parse-loop12 [82] 6.9% f6 [90] 6.9% ??? [78] 3.2% ---------------------------------------------------------------------- map-enodes [16] 34.3% loop [61] 65.7% [68] 636(3.1%) 218(1.1%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [75] 65.7% ---------------------------------------------------------------------- loop [61] 50.0% apply-match [28] 50.0% [69] 620(3.0%) 420(2.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [61] 50.0% custom-set-union [77] 16.1% ---------------------------------------------------------------------- hash-update! [62] 100.0% [70] 440(2.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [74] 100.0% ---------------------------------------------------------------------- ??? [66] 100.0% [71] 7192(34.8%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [79] 71.7% ...higher-order.rkt:373:33 [81] 18.7% bf< [84] 3.3% ...higher-order.rkt:369:33 [85] 3.2% ??? [86] 3.1% ---------------------------------------------------------------------- ??? [66] 100.0% [72] 2390(11.6%) 2390(11.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- hash-ref! [67] 100.0% [73] 2256(10.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [80] 69.5% sig+exp->bigfloat [83] 30.5% ---------------------------------------------------------------------- ??? [70] 100.0% [74] 440(2.1%) 440(2.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- for-loop [68] 100.0% [75] 418(2.0%) 218(1.1%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [87] 47.8% ---------------------------------------------------------------------- hash-ref! [67] 100.0% [76] 400(1.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [82] 100.0% ---------------------------------------------------------------------- loop! [69] 100.0% [77] 200(1.0%) 200(1.0%) custom-set-union ...et/private/set-types.rkt:168:0 ---------------------------------------------------------------------- hash-ref! [67] 100.0% [78] 200(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [67] 100.0% ---------------------------------------------------------------------- loop [61] 7.7% ??? [71] 92.3% [79] 5584(27.0%) 1490(7.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [88] 40.8% ??? [96] 20.3% bfsqr [91] 12.2% ---------------------------------------------------------------------- bigfloat-hash [73] 100.0% [80] 1568(7.6%) 1568(7.6%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- ??? [71] 100.0% [81] 1348(6.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 66.8% ??? [93] 33.2% ---------------------------------------------------------------------- simplify [76] 48.3% hash-ref! [67] 51.7% [82] 828(4.0%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [61] 51.7% f6 [90] 48.3% ---------------------------------------------------------------------- bigfloat-hash [73] 100.0% [83] 688(3.3%) 688(3.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ??? [71] 100.0% [84] 234(1.1%) 0(0.0%) bf< ...th/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [96] 100.0% ---------------------------------------------------------------------- ??? [71] 100.0% [85] 230(1.1%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [89] 100.0% ---------------------------------------------------------------------- ??? [71] 100.0% [86] 224(1.1%) 224(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- eval-const-expr [75] 100.0% [87] 200(1.0%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [92] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [88] 2278(11.0%) 2050(9.9%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 10.0% ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [85] 20.4% ...higher-order.rkt:373:33 [81] 79.6% [89] 1130(5.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 100.0% ---------------------------------------------------------------------- parse-loop12 [82] 48.3% hash-ref! [67] 51.7% [90] 828(4.0%) 400(1.9%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [54] 51.7% ---------------------------------------------------------------------- ??? [79] 100.0% [91] 682(3.3%) 0(0.0%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 100.0% ---------------------------------------------------------------------- eval-prog [55] 10.7% expression-induct31 [87] 23.3% inductor [92] 66.0% [92] 430(2.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [92] 66.0% loop [95] 34.0% ---------------------------------------------------------------------- ??? [66] 12.4% ...higher-order.rkt:373:33 [81] 24.9% ??? [89] 62.7% [93] 1802(8.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ---------------------------------------------------------------------- bfdiv [88] 25.1% bfsqr [91] 74.9% [94] 910(4.4%) 910(4.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- inductor [92] 100.0% [95] 430(2.1%) 430(2.1%) loop ...h-lib/math/private/bigfloat/mpfr.rkt:435:9 ---------------------------------------------------------------------- bf< [84] 7.4% ??? [79] 35.8% ??? [93] 56.8% [96] 3170(15.3%) 1140(5.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 64.0% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 2030(9.8%) 1298(6.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 36.1% ---------------------------------------------------------------------- ??? [97] 100.0% [98] 732(3.5%) 732(3.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------