Profiling results ----------------- Total cpu time observed: 25024ms (out of 25252ms) Number of samples taken: 113 (once every 221ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 103 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [28] 100.0% [1] 24002(95.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [2] 17300(69.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 97.3% loop [34] 1.4% get-final-combination [9] 1.3% ---------------------------------------------------------------------- loop [69] 1.4% ??? [28] 98.6% [3] 15464(61.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 49.5% for-loop [8] 29.4% iterate-egraph!5 [11] 19.7% loop [12] 1.3% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [4] 242(1.0%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [69] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 24002(95.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 16840(67.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 7662(30.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 96.9% loop [12] 3.1% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 4546(18.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 95.6% debug7 [14] 4.4% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 220(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [10] 16840(67.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [15] 91.8% finalize-iter! [17] 3.8% gen-series! [18] 2.8% localize-error [21] 1.6% ---------------------------------------------------------------------- simplify [3] 20.6% for-loop [8] 29.3% simplify-expr [7] 50.1% [11] 14822(59.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [16] 97.3% map-enodes [20] 2.7% ---------------------------------------------------------------------- simplify [3] 45.7% simplify-expr [7] 54.3% [12] 442(1.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [19] 100.0% ---------------------------------------------------------------------- get-final-combination [9] 100.0% [13] 220(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [69] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [14] 200(0.8%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [25] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [15] 15466(61.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [22] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [16] 14422(57.6%) 604(2.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [23] 68.6% loop [24] 24.3% apply-match [29] 1.4% ---------------------------------------------------------------------- run-iter! [10] 100.0% [17] 642(2.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [18] 464(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% ---------------------------------------------------------------------- loop [12] 100.0% [19] 442(1.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [20] 400(1.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [69] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [21] 268(1.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ---------------------------------------------------------------------- simplify! [15] 100.0% [22] 15466(61.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 98.6% debug-print [84] 1.4% ---------------------------------------------------------------------- for-loop [23] 50.0% one-iter [16] 50.0% [23] 9890(39.5%) 2106(8.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 50.0% match-e [33] 39.4% ---------------------------------------------------------------------- one-iter [16] 100.0% [24] 3508(14.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [29] 100.0% ---------------------------------------------------------------------- debug7 [14] 23.8% finalize-iter! [17] 76.2% [25] 842(3.4%) 200(0.8%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [30] 76.2% ---------------------------------------------------------------------- gen-series! [18] 100.0% [26] 464(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ---------------------------------------------------------------------- pass [19] 100.0% [27] 442(1.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 make-sequence [46] 54.3% argmin [32] 45.7% ---------------------------------------------------------------------- for-loop [22] 21.0% run [5] 38.7% [28] 24804(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 38.7% run-improve58 [2] 25.2% simplify [3] 21.0% loop [34] 15.1% ---------------------------------------------------------------------- one-iter [16] 5.4% loop [24] 94.6% [29] 3708(14.8%) 402(1.6%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [43] 38.9% match-e [33] 28.7% for-loop [37] 10.8% substitute-e [40] 5.4% reduce-to-single! [39] 5.4% ---------------------------------------------------------------------- ??? [25] 100.0% [30] 642(2.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [35] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [31] 464(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [36] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [32] 202(0.8%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [38] 100.0% ---------------------------------------------------------------------- for-loop [50] 7.3% apply-match [29] 10.5% for-loop [23] 82.1% [33] 8848(35.4%) 5242(20.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 33.5% list-cartesian-product [52] 8.1% for-loop [50] 4.0% ---------------------------------------------------------------------- run-improve58 [2] 3.1% ??? [28] 96.9% [34] 7744(30.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [49] 67.0% loop [42] 29.9% loop [51] 3.1% ---------------------------------------------------------------------- for-loop [30] 100.0% [35] 642(2.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ---------------------------------------------------------------------- taylor-alt [31] 100.0% [36] 464(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ---------------------------------------------------------------------- apply-match [29] 100.0% [37] 400(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [74] 50.0% merge-egraph-nodes! [43] 50.0% ---------------------------------------------------------------------- argmin [32] 100.0% [38] 202(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [47] 100.0% ---------------------------------------------------------------------- apply-match [29] 100.0% [39] 200(0.8%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 make-sequence [46] 100.0% ---------------------------------------------------------------------- apply-match [29] 100.0% [40] 200(0.8%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [48] 100.0% ---------------------------------------------------------------------- match-e [33] 100.0% [41] 3548(14.2%) 1438(5.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [50] 40.8% list-cartesian-product [52] 12.5% loop [56] 6.3% ---------------------------------------------------------------------- loop [34] 100.0% [42] 2314(9.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [51] 71.6% make-exacts* [49] 28.4% ---------------------------------------------------------------------- for-loop [57] 6.7% for-loop [37] 12.2% apply-match [29] 81.1% [43] 1642(6.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [53] 61.0% for-loop [57] 13.4% enode-merge! [58] 13.3% loop! [74] 12.3% ---------------------------------------------------------------------- atab-add-altn [35] 100.0% [44] 642(2.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [54] 100.0% ---------------------------------------------------------------------- for-loop [36] 41.3% location-do [45] 58.7% [45] 464(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [45] 58.7% approximate9 [55] 41.3% ---------------------------------------------------------------------- reduce-to-single! [39] 45.5% for-loop [27] 54.5% [46] 440(1.8%) 440(1.8%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- expression-cost [38] 100.0% [47] 202(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [70] 100.0% ---------------------------------------------------------------------- substitute-e [40] 100.0% [48] 200(0.8%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [59] 100.0% ---------------------------------------------------------------------- loop [42] 11.3% loop [34] 88.7% [49] 5848(23.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [60] 51.1% loop [69] 48.9% ---------------------------------------------------------------------- match-e [33] 24.6% for-loop [41] 75.4% [50] 1918(7.7%) 458(1.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [33] 64.2% ??? [65] 11.9% ---------------------------------------------------------------------- loop [34] 12.7% loop [42] 87.3% [51] 1896(7.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% ---------------------------------------------------------------------- for-loop [41] 25.6% list-cartesian-product [52] 34.0% match-e [33] 40.4% [52] 1260(5.0%) 860(3.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [52] 34.0% for-loop [64] 23.8% ---------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [53] 1002(4.0%) 400(1.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [61] 60.1% ---------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [54] 642(2.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 65.7% eval-prog [66] 34.3% ---------------------------------------------------------------------- location-do [45] 100.0% [55] 464(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 100.0% ---------------------------------------------------------------------- for-loop [41] 100.0% [56] 222(0.9%) 222(0.9%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [57] 220(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [43] 50.0% loop! [74] 50.0% ---------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [58] 218(0.9%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [67] 100.0% ---------------------------------------------------------------------- mk-enode! [48] 100.0% [59] 200(0.8%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [68] 100.0% ---------------------------------------------------------------------- loop [51] 38.8% make-exacts* [49] 61.2% [60] 4882(19.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 100.0% ---------------------------------------------------------------------- update-leader! [53] 100.0% [61] 602(2.4%) 200(0.8%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [71] 66.8% ---------------------------------------------------------------------- approximate9 [55] 100.0% [62] 464(1.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ---------------------------------------------------------------------- errors [54] 100.0% [63] 422(1.7%) 222(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 47.4% ---------------------------------------------------------------------- list-cartesian-product [52] 100.0% [64] 400(1.6%) 400(1.6%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- for-loop [50] 100.0% [65] 228(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [72] 100.0% ---------------------------------------------------------------------- errors [54] 100.0% [66] 220(0.9%) 220(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- enode-merge! [58] 100.0% [67] 218(0.9%) 218(0.9%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ---------------------------------------------------------------------- new-enode [59] 100.0% [68] 200(0.8%) 200(0.8%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ??? [73] 0.0% parse-loop12 [78] 0.1% map [60] 0.4% map-enodes [20] 0.4% extract-alt [13] 1.2% loop! [74] 1.2% taylor [4] 2.6% make-exacts* [49] 4.0% loop [69] 90.2% [69] 9296(37.1%) 226(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 90.2% ??? [73] 4.3% simplify [75] 2.6% loop! [74] 1.2% simplify [3] 1.2% for-loop [77] 0.4% ??? [95] 0.1% real->bigfloat [83] 0.0% ---------------------------------------------------------------------- ??? [79] 4.8% ??? [80] 10.8% compile [47] 10.8% loop [62] 13.4% localize-error [21] 28.7% ??? [76] 31.5% [70] 934(3.7%) 202(0.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [76] 31.5% parse-loop12 [78] 28.7% ??? [80] 10.8% taylor [4] 8.6% ??? [79] 4.8% simplify [75] 4.8% ---------------------------------------------------------------------- for-loop [61] 100.0% [71] 402(1.6%) 202(0.8%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [81] 49.8% ---------------------------------------------------------------------- ??? [65] 100.0% [72] 228(0.9%) 228(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ---------------------------------------------------------------------- for-loop [63] 2.6% loop [69] 97.4% [73] 7718(30.8%) 218(0.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [82] 53.0% real->bigfloat [83] 26.7% ...e/case-arrow.rkt:150:50 [85] 6.0% loop [69] 5.8% ??? [98] 5.7% ---------------------------------------------------------------------- for-loop [57] 11.8% merge-egraph-nodes! [43] 16.2% for-loop [37] 32.2% loop [69] 39.8% [74] 622(2.5%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [86] 48.4% loop [69] 39.8% update-en-expr [88] 11.8% ---------------------------------------------------------------------- hash-ref! [70] 47.8% loop [69] 52.2% [75] 464(1.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [84] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [76] 464(1.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% ---------------------------------------------------------------------- loop [69] 100.0% [77] 400(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [87] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [78] 268(1.1%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [69] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [79] 222(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [80] 202(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [70] 100.0% ---------------------------------------------------------------------- for-loop [71] 100.0% [81] 200(0.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [82] 4088(16.3%) 200(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [90] 54.9% ??? [95] 28.7% ...higher-order.rkt:373:33 [91] 11.5% ---------------------------------------------------------------------- loop [69] 17.8% ??? [73] 82.2% [83] 2510(10.0%) 2064(8.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 17.8% ---------------------------------------------------------------------- for-loop [22] 32.4% simplify [75] 67.6% [84] 686(2.7%) 242(1.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [92] 64.7% ---------------------------------------------------------------------- ??? [73] 100.0% [85] 462(1.8%) 462(1.8%) ...e/case-arrow.rkt:150:50 (unknown source) ---------------------------------------------------------------------- loop! [74] 100.0% [86] 402(1.6%) 202(0.8%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [93] 49.8% ---------------------------------------------------------------------- for-loop [77] 100.0% [87] 400(1.6%) 400(1.6%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- loop! [74] 100.0% [88] 220(0.9%) 220(0.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- hash-update! [81] 100.0% [89] 200(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [94] 100.0% ---------------------------------------------------------------------- ??? [82] 100.0% [90] 2244(9.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [95] 100.0% ---------------------------------------------------------------------- ??? [82] 100.0% [91] 470(1.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [96] 100.0% ---------------------------------------------------------------------- debug-print [84] 100.0% [92] 444(1.8%) 444(1.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- custom-set-union [86] 100.0% [93] 200(0.8%) 200(0.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 ---------------------------------------------------------------------- ??? [89] 100.0% [94] 200(0.8%) 200(0.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- loop [69] 7.3% ??? [82] 31.9% bf* [90] 60.9% [95] 3686(14.7%) 162(0.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [97] 89.3% ??? [100] 6.3% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [91]100.0% [96] 470(1.9%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ---------------------------------------------------------------------- ??? [95] 100.0% [97] 3290(13.1%) 1944(7.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 40.9% ---------------------------------------------------------------------- ??? [73] 48.4% ??? [96] 51.6% [98] 910(3.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ---------------------------------------------------------------------- real->bigfloat [83] 24.9% bfmul [97] 75.1% [99] 1792(7.2%) 1792(7.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [95] 20.5% ??? [98] 79.5% [100] 1144(4.6%) 506(2.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 55.8% ---------------------------------------------------------------------- ??? [100] 100.0% [101] 638(2.5%) 400(1.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 37.3% ---------------------------------------------------------------------- ??? [101] 100.0% [102] 238(1.0%) 238(1.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------