Profiling results ----------------- Total cpu time observed: 21830ms (out of 22188ms) Number of samples taken: 90 (once every 243ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [33] 100.0% [1] 20752(95.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [33] 100.0% [2] 5546(25.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 72.0% finalize-table! [10] 23.8% loop [37] 4.2% ---------------------------------------------------------------------- ??? [33] 100.0% [3] 2768(12.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 69.5% for-loop [12] 22.5% loop [13] 8.0% ---------------------------------------------------------------------- loop [76] 100.0% [4] 360(1.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [9] 100.0% ---------------------------------------------------------------------- f94 [73] 100.0% [5] 340(1.6%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [11] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [6] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 98.1% [7] 21146(96.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 3992(18.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [4] 15.8% simplify [3] 84.2% [9] 2284(10.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1322(6.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [17] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 27.0% taylor-invert [78] 27.2% taylor-sqrt [5] 45.8% [11] 742(3.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [72] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 622(2.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [13] 222(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [18] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [14] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [70] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [15] 3992(18.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 69.3% finalize-iter! [21] 25.6% gen-series! [24] 5.1% ---------------------------------------------------------------------- for-loop [12] 21.4% simplify-expr [9] 78.6% [16] 2906(13.3%) 360(1.6%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 87.6% ---------------------------------------------------------------------- finalize-table! [10] 100.0% [17] 1322(6.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [22] 40.8% loop [76] 27.2% ??? [27] 16.8% localize-error [25] 15.1% ---------------------------------------------------------------------- loop [13] 100.0% [18] 222(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [23] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [19] 2768(12.7%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [20] 2546(11.7%) 438(2.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 41.0% loop [29] 25.2% apply-match [35] 16.6% ---------------------------------------------------------------------- run-iter! [15] 100.0% [21] 1022(4.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ---------------------------------------------------------------------- post-process [17] 100.0% [22] 540(2.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [30] 100.0% ---------------------------------------------------------------------- pass [18] 100.0% [23] 222(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [31] 100.0% ---------------------------------------------------------------------- run-iter! [15] 100.0% [24] 202(0.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ---------------------------------------------------------------------- post-process [17] 100.0% [25] 200(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ---------------------------------------------------------------------- simplify! [19] 100.0% [26] 2768(12.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ---------------------------------------------------------------------- post-process [17] 17.8% finalize-iter! [21] 82.2% [27] 1244(5.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% ---------------------------------------------------------------------- for-loop [28] 50.0% one-iter [20] 50.0% [28] 1044(4.8%) 222(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [39] 39.4% ---------------------------------------------------------------------- one-iter [20] 100.0% [29] 642(2.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% ---------------------------------------------------------------------- for-loop [22] 100.0% [30] 540(2.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 loop [76] 63.0% taylor-alt [36] 37.0% ---------------------------------------------------------------------- for-loop [23] 100.0% [31] 222(1.0%) 222(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- gen-series! [24] 100.0% [32] 202(0.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ---------------------------------------------------------------------- for-loop [26] 4.4% run [7] 47.4% [33] 21830(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.6% loop [37] 39.3% run-improve58 [2] 10.8% simplify [3] 4.4% ---------------------------------------------------------------------- ??? [27] 100.0% [34] 1244(5.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ---------------------------------------------------------------------- one-iter [20] 39.7% loop [29] 60.3% [35] 1064(4.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [80] 39.7% merge-egraph-nodes! [41] 20.9% match-e [39] 20.7% reduce-to-single! [42] 18.8% ---------------------------------------------------------------------- append-map [30] 27.0% for-loop [32] 27.2% loop [76] 45.8% [36] 742(3.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [40] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.4% ??? [33] 98.6% [37] 16516(75.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 53.7% make-exacts* [51] 22.6% loop [50] 21.1% for-loop [46] 2.5% ---------------------------------------------------------------------- for-loop [34] 100.0% [38] 1244(5.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ---------------------------------------------------------------------- for-loop [54] 10.6% apply-match [35] 10.6% for-loop [28] 78.9% [39] 1042(4.8%) 602(2.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [54] 21.1% for-loop [48] 21.1% ---------------------------------------------------------------------- taylor-alt [36] 100.0% [40] 742(3.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 50.0% apply-match [35] 50.0% [41] 222(1.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 merge-egraph-nodes! [41] 50.0% update-leader! [47] 50.0% ---------------------------------------------------------------------- apply-match [35] 100.0% [42] 200(0.9%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [49] 100.0% ---------------------------------------------------------------------- loop [37] 100.0% [43] 8872(40.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [50] 56.0% make-exacts* [51] 41.8% eval-prog [61] 2.2% ---------------------------------------------------------------------- atab-add-altn [38] 100.0% [44] 1244(5.7%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [52] 82.2% for-loop [56] 17.8% ---------------------------------------------------------------------- location-do [45] 13.6% for-loop [40] 86.4% [45] 742(3.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [53] 86.4% location-do [45] 13.6% ---------------------------------------------------------------------- loop [37] 100.0% [46] 420(1.9%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [55] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [47] 222(1.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 100.0% ---------------------------------------------------------------------- match-e [39] 100.0% [48] 220(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 50.0% list-cartesian-product [58] 50.0% ---------------------------------------------------------------------- reduce-to-single! [42] 100.0% [49] 200(0.9%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ---------------------------------------------------------------------- loop [37] 41.3% loop [43] 58.7% [50] 8458(38.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% ---------------------------------------------------------------------- loop [43] 49.8% loop [37] 50.2% [51] 7442(34.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [59] 53.8% loop [76] 46.2% ---------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [52] 1022(4.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [60] 80.4% eval-prog [61] 19.6% ---------------------------------------------------------------------- location-do [45] 100.0% [53] 742(3.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [73] 73.0% loop [65] 27.0% ---------------------------------------------------------------------- for-loop [48] 50.0% match-e [39] 50.0% [54] 440(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ??? [64] 50.0% match-e [39] 50.0% ---------------------------------------------------------------------- for-loop [46] 100.0% [55] 420(1.9%) 198(0.9%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample [62] 52.9% ---------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [56] 222(1.0%) 222(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- update-leader! [47] 100.0% [57] 222(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [63] 100.0% ---------------------------------------------------------------------- for-loop [48] 100.0% [58] 220(1.0%) 220(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- f94 [73] 4.2% make-exacts* [51] 30.8% loop [50] 65.1% [59] 13002(59.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [76] 96.6% ??? [66] 3.4% ---------------------------------------------------------------------- errors [52] 100.0% [60] 822(3.8%) 400(1.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [79] 51.3% ---------------------------------------------------------------------- loop [43] 49.5% errors [52] 50.5% [61] 396(1.8%) 396(1.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- for-loop [55] 100.0% [62] 222(1.0%) 0(0.0%) sample /home/ztatlock/herbie/src/points.rkt:68:0 sample-default [67] 100.0% ---------------------------------------------------------------------- for-loop [57] 100.0% [63] 222(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [68] 100.0% ---------------------------------------------------------------------- for-loop [54] 100.0% [64] 220(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [69] 100.0% ---------------------------------------------------------------------- approximate9 [53] 100.0% [65] 200(0.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ---------------------------------------------------------------------- loop [76] 18.5% map [59] 81.5% [66] 540(2.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f94 [73] 63.0% hash-ref! [70] 37.0% ---------------------------------------------------------------------- sample [62] 100.0% [67] 222(1.0%) 222(1.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ---------------------------------------------------------------------- for-loop [63] 100.0% [68] 222(1.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [71] 100.0% ---------------------------------------------------------------------- ??? [64] 100.0% [69] 220(1.0%) 220(1.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- localize-error [25] 16.7% for-loop [14] 16.7% ??? [75] 16.7% loop [65] 16.7% ??? [66] 33.3% [70] 400(1.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f94 [73] 33.3% ??? [75] 16.7% ??? [6] 16.7% simplify [11] 16.7% parse-loop50 [72] 16.7% ---------------------------------------------------------------------- hash-update! [68] 100.0% [71] 222(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [74] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 21.2% simplify [11] 78.8% [72] 942(4.3%) 742(3.4%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [76] 21.2% ---------------------------------------------------------------------- ??? [66] 9.2% approximate9 [53] 22.8% hash-ref! [70] 27.0% f94 [73] 41.1% [73] 742(3.4%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 f94 [73] 41.1% map [59] 36.1% taylor-invert [78] 13.6% taylor-sqrt [5] 9.2% ---------------------------------------------------------------------- ??? [71] 100.0% [74] 222(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [77] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [75] 200(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ---------------------------------------------------------------------- parse-loop50 [72] 0.0% loop! [80] 0.6% post-process [17] 0.7% make-exacts* [51] 1.5% append-map [30] 2.0% map [59] 2.6% loop [76] 92.6% [76] 17020(78.0%) 214(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [76] 92.6% ??? [79] 4.0% taylor-alt [36] 2.0% completely-simplify-alt [4] 0.7% loop! [80] 0.6% ->flonum [81] 0.0% ??? [66] 0.0% ??? [88] 0.0% ---------------------------------------------------------------------- for-loop [74] 100.0% [77] 222(1.0%) 222(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- f94 [73] 100.0% [78] 202(0.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [11] 100.0% ---------------------------------------------------------------------- for-loop [60] 2.7% loop [76] 97.3% [79] 15822(72.5%) 1222(5.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 46.9% real->bigfloat [83] 33.2% ??? [94] 9.2% new [84] 1.5% ...e/case-arrow.rkt:150:50 [85] 1.5% ---------------------------------------------------------------------- loop [76] 26.1% apply-match [35] 73.9% [80] 422(1.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [87] 47.9% loop [76] 26.1% set [86] 26.1% ---------------------------------------------------------------------- loop [76] 100.0% [81] 286(1.3%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [95] 100.0% ---------------------------------------------------------------------- ??? [79] 100.0% [82] 7414(34.0%) 932(4.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 79.0% ...higher-order.rkt:373:33 [89] 8.4% ---------------------------------------------------------------------- ??? [79] 100.0% [83] 5254(24.1%) 3698(16.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 29.6% ---------------------------------------------------------------------- ??? [79] 100.0% [84] 238(1.1%) 238(1.1%) new ...cket/contract/private/case-arrow.rkt:227:53 ---------------------------------------------------------------------- ??? [79] 100.0% [85] 236(1.1%) 236(1.1%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- loop! [80] 100.0% [86] 220(1.0%) 220(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- loop! [80] 100.0% [87] 202(0.9%) 202(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 ---------------------------------------------------------------------- loop [76] 3.3% ??? [82] 96.7% [88] 6058(27.8%) 1164(5.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsqrt [90] 37.6% bfadd [91] 30.9% ??? [95] 12.3% ---------------------------------------------------------------------- ??? [82] 100.0% [89] 624(2.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 100.0% ---------------------------------------------------------------------- ??? [88] 100.0% [90] 2280(10.4%) 1390(6.4%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 39.0% ---------------------------------------------------------------------- ??? [88] 100.0% [91] 1870(8.6%) 1376(6.3%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 26.4% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89]100.0% [92] 624(2.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ---------------------------------------------------------------------- bfadd [91] 16.8% bfsqrt [90] 30.3% real->bigfloat [83] 52.9% [93] 2940(13.5%) 2940(13.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [92] 30.0% ??? [79] 70.0% [94] 2082(9.5%) 278(1.3%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 86.6% ---------------------------------------------------------------------- ->flonum [81] 10.1% ??? [88] 26.3% ??? [94] 63.7% [95] 2834(13.0%) 938(4.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 66.9% ---------------------------------------------------------------------- ??? [95] 100.0% [96] 1896(8.7%) 954(4.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 49.7% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 942(4.3%) 942(4.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------