Profiling results ----------------- Total cpu time observed: 20614ms (out of 20892ms) Number of samples taken: 96 (once every 215ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 103 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [21] 100.0% [1] 20214(98.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ----------------------------------------------------------------------- ??? [21] 100.0% [2] 14004(67.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 85.7% get-final-combination [6] 12.9% setup-prog [7] 1.4% ----------------------------------------------------------------------- loop [73] 100.0% [3] 202(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 20214(98.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [21] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 12000(58.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [8] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 1804(8.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [9] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 200(1.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [10] 100.0% ----------------------------------------------------------------------- for-loop [5] 100.0% [8] 12000(58.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [12] 93.3% finalize-iter! [13] 3.3% localize-error [14] 1.7% gen-series! [15] 1.7% ----------------------------------------------------------------------- get-final-combination [6] 100.0% [9] 1804(8.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [73] 100.0% ----------------------------------------------------------------------- setup-prog [7] 100.0% [10] 200(1.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [11] 100.0% ----------------------------------------------------------------------- simplify-alt [10] 1.5% loop [73] 13.7% ??? [21] 84.8% [11] 13202(64.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [17] 69.5% for-loop [18] 22.9% iterate-egraph!5 [22] 7.6% ----------------------------------------------------------------------- run-iter! [8] 100.0% [12] 11198(54.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [16] 100.0% ----------------------------------------------------------------------- run-iter! [8] 100.0% [13] 400(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [19] 100.0% ----------------------------------------------------------------------- run-iter! [8] 100.0% [14] 202(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ----------------------------------------------------------------------- run-iter! [8] 100.0% [15] 200(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [20] 100.0% ----------------------------------------------------------------------- simplify! [12] 100.0% [16] 11198(54.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [21] 100.0% ----------------------------------------------------------------------- simplify [11] 100.0% [17] 9174(44.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 91.3% loop [23] 8.7% ----------------------------------------------------------------------- simplify [11] 100.0% [18] 3026(14.7%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 93.4% loop [23] 6.6% ----------------------------------------------------------------------- finalize-iter! [13] 100.0% [19] 400(1.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [24] 100.0% ----------------------------------------------------------------------- gen-series! [15] 100.0% [20] 200(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [25] 100.0% ----------------------------------------------------------------------- for-loop [16] 18.4% run [4] 40.3% [21] 20614(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.3% run-improve58 [2] 25.2% simplify [11] 18.4% loop [27] 16.0% ----------------------------------------------------------------------- simplify [11] 8.2% for-loop [18] 23.2% simplify-expr [17] 68.6% [22] 12200(59.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 98.2% ----------------------------------------------------------------------- for-loop [18] 20.0% simplify-expr [17] 80.0% [23] 1002(4.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [28] 100.0% ----------------------------------------------------------------------- ??? [19] 100.0% [24] 400(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [29] 100.0% ----------------------------------------------------------------------- for-loop [20] 100.0% [25] 200(1.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [30] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [26] 11980(58.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [31] 54.5% loop [32] 38.8% apply-match [38] 5.1% ----------------------------------------------------------------------- ??? [21] 100.0% [27] 6610(32.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [39] 56.3% loop [33] 43.7% ----------------------------------------------------------------------- loop [23] 100.0% [28] 1002(4.9%) 202(1.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [34] 79.8% ----------------------------------------------------------------------- for-loop [24] 100.0% [29] 400(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [35] 50.0% override-at-pnts [36] 50.0% ----------------------------------------------------------------------- taylor-alt [25] 100.0% [30] 200(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [37] 100.0% ----------------------------------------------------------------------- for-loop [31] 50.0% one-iter [26] 50.0% [31] 6530(31.7%) 604(2.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [31] 50.0% match-e [46] 45.4% ----------------------------------------------------------------------- one-iter [26] 100.0% [32] 4644(22.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ----------------------------------------------------------------------- loop [27] 100.0% [33] 2888(14.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [40] 61.2% make-exacts* [39] 38.8% ----------------------------------------------------------------------- pass [28] 100.0% [34] 800(3.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [41] 50.0% loop [44] 25.0% for-loop [43] 25.0% ----------------------------------------------------------------------- atab-add-altn [29] 100.0% [35] 200(1.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [42] 100.0% ----------------------------------------------------------------------- atab-add-altn [29] 100.0% [36] 200(1.0%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [42] 100.0% ----------------------------------------------------------------------- for-loop [30] 100.0% [37] 200(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [45] 100.0% ----------------------------------------------------------------------- one-iter [26] 11.5% loop [32] 88.5% [38] 5250(25.5%) 400(1.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [54] 23.2% match-e [46] 23.1% for-loop [48] 23.0% loop! [78] 11.7% mk-enode! [63] 7.6% reduce-to-single! [51] 3.8% ----------------------------------------------------------------------- loop [33] 23.1% loop [27] 76.9% [39] 4842(23.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [73] 58.6% map [47] 41.4% ----------------------------------------------------------------------- loop [33] 100.0% [40] 1768(8.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [47] 100.0% ----------------------------------------------------------------------- for-loop [34] 100.0% [41] 400(1.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [49] 100.0% ----------------------------------------------------------------------- override-at-pnts [36] 50.0% best-and-tied-at-points [35] 50.0% [42] 400(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [50] 100.0% ----------------------------------------------------------------------- for-loop [34] 100.0% [43] 200(1.0%) 200(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- for-loop [34] 100.0% [44] 200(1.0%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [49] 100.0% ----------------------------------------------------------------------- location-do [37] 100.0% [45] 200(1.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [52] 100.0% ----------------------------------------------------------------------- apply-match [38] 9.9% for-loop [59] 12.7% for-loop [31] 77.4% [46] 7138(34.6%) 3280(15.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 51.1% list-cartesian-product [60] 4.2% filter [57] 2.9% ----------------------------------------------------------------------- loop [40] 46.8% make-exacts* [39] 53.2% [47] 3774(18.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [73] 100.0% ----------------------------------------------------------------------- apply-match [38] 100.0% [48] 1206(5.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [54] 49.9% substitute-e [56] 33.3% loop! [78] 16.7% ----------------------------------------------------------------------- loop [44] 33.3% argmin [41] 66.7% [49] 600(2.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [55] 100.0% ----------------------------------------------------------------------- errors [42] 100.0% [50] 400(1.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [76] 100.0% ----------------------------------------------------------------------- apply-match [38] 100.0% [51] 200(1.0%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 for-loop [58] 100.0% ----------------------------------------------------------------------- approximate9 [45] 100.0% [52] 200(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ----------------------------------------------------------------------- match-e [46] 100.0% [53] 4048(19.6%) 2016(9.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [59] 37.3% list-cartesian-product [60] 15.5% loop [73] 4.9% foldl [65] 4.9% ----------------------------------------------------------------------- for-loop [48] 33.1% apply-match [38] 66.9% [54] 1818(8.8%) 200(1.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [61] 55.9% for-loop [64] 22.1% enode-merge! [66] 11.0% ----------------------------------------------------------------------- expression-cost [49] 100.0% [55] 600(2.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [62] 100.0% ----------------------------------------------------------------------- substitute-e [56] 33.5% for-loop [48] 66.5% [56] 402(2.0%) 202(1.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [63] 49.8% substitute-e [56] 33.5% ----------------------------------------------------------------------- match-e [46] 100.0% [57] 210(1.0%) 210(1.0%) filter ...t/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------- reduce-to-single! [51] 100.0% [58] 200(1.0%) 200(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:325:8 ----------------------------------------------------------------------- for-loop [53] 100.0% [59] 2014(9.8%) 200(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [46] 90.1% ----------------------------------------------------------------------- list-cartesian-product [60] 10.7% match-e [46] 39.1% for-loop [53] 50.2% [60] 1032(5.0%) 1032(5.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [60] 10.7% ----------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [61] 1016(4.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [67] 100.0% ----------------------------------------------------------------------- ??? [3] 10.1% localize-error [14] 10.1% loop [52] 20.0% ??? [68] 23.3% compile [55] 36.6% [62] 1002(4.9%) 200(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [68] 53.2% parse-loop12 [69] 20.2% ??? [71] 20.0% ----------------------------------------------------------------------- substitute-e [56] 33.3% apply-match [38] 66.7% [63] 600(2.9%) 600(2.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [64] 402(2.0%) 402(2.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ----------------------------------------------------------------------- for-loop [53] 100.0% [65] 200(1.0%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [70] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [66] 200(1.0%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [72] 100.0% ----------------------------------------------------------------------- update-leader! [61] 100.0% [67] 1016(4.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [74] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [68] 600(2.9%) 400(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [62] 50.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [69] 202(1.0%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [73] 100.0% ----------------------------------------------------------------------- foldl [65] 100.0% [70] 200(1.0%) 200(1.0%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ----------------------------------------------------------------------- hash-ref! [62] 100.0% [71] 200(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 simplify [75] 100.0% ----------------------------------------------------------------------- enode-merge! [66] 100.0% [72] 200(1.0%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [84] 100.0% ----------------------------------------------------------------------- ??? [76] 0.0% make-exacts* [39] 0.1% map [47] 0.2% parse-loop12 [69] 0.5% for-loop [53] 0.7% loop! [78] 1.1% extract-alt [9] 10.9% loop [73] 85.2% [73] 9036(43.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [73] 85.2% simplify [11] 10.9% for-loop [79] 1.2% loop! [78] 1.1% ??? [76] 0.3% ??? [3] 0.2% ...higher-order.rkt:373:33 [89] 0.2% real->bigfloat [82] 0.0% ----------------------------------------------------------------------- for-loop [67] 100.0% [74] 1016(4.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [77] 100.0% ----------------------------------------------------------------------- ??? [71] 100.0% [75] 200(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [80] 100.0% ----------------------------------------------------------------------- for-loop [50] 5.7% loop [73] 94.3% [76] 7010(34.0%) 200(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 49.6% loop [73] 21.6% real->bigfloat [82] 13.3% ??? [95] 9.9% ->flonum [86] 2.9% ----------------------------------------------------------------------- for-loop [74] 100.0% [77] 1016(4.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [83] 100.0% ----------------------------------------------------------------------- loop [73] 12.2% for-loop [48] 24.7% apply-match [38] 63.1% [78] 818(4.0%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [84] 75.6% loop [73] 12.2% set [85] 12.2% ----------------------------------------------------------------------- loop [73] 100.0% [79] 220(1.1%) 220(1.1%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 ----------------------------------------------------------------------- simplify [75] 100.0% [80] 200(1.0%) 200(1.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 ----------------------------------------------------------------------- ??? [76] 100.0% [81] 3474(16.9%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 85.0% ...higher-order.rkt:373:33 [89] 15.0% ----------------------------------------------------------------------- ??? [76] 38.1% loop [73] 61.9% [82] 2444(11.9%) 1998(9.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 18.2% ----------------------------------------------------------------------- hash-update! [77] 100.0% [83] 1016(4.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [88] 100.0% ----------------------------------------------------------------------- adopt-enode! [72] 24.4% loop! [78] 75.6% [84] 818(4.0%) 400(1.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [90] 51.1% ----------------------------------------------------------------------- loop! [78] 100.0% [85] 200(1.0%) 200(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- ??? [76] 100.0% [86] 200(1.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [91] 100.0% ----------------------------------------------------------------------- ??? [81] 100.0% [87] 2952(14.3%) 220(1.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [97] 49.7% bfadd [92] 42.9% ----------------------------------------------------------------------- ??? [83] 100.0% [88] 1016(4.9%) 1016(4.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- loop [73] 27.9% ??? [81] 72.1% [89] 724(3.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ----------------------------------------------------------------------- custom-set-union [84] 100.0% [90] 418(2.0%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [94] 100.0% ----------------------------------------------------------------------- ->flonum [86] 100.0% [91] 200(1.0%) 200(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [87] 100.0% [92] 1266(6.1%) 1008(4.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 20.4% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [89]100.0% [93] 724(3.5%) 202(1.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [95] 72.1% ----------------------------------------------------------------------- for-loop [90] 100.0% [94] 418(2.0%) 418(2.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- ??? [93] 43.0% ??? [76] 57.0% [95] 1214(5.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ----------------------------------------------------------------------- bfadd [92] 36.6% real->bigfloat [82] 63.4% [96] 704(3.4%) 704(3.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [95] 45.3% ??? [87] 54.7% [97] 2680(13.0%) 980(4.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 55.0% ??? [99] 8.4% ----------------------------------------------------------------------- ??? [97] 100.0% [98] 1474(7.2%) 464(2.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 68.5% ----------------------------------------------------------------------- ??? [97] 100.0% [99] 226(1.1%) 226(1.1%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ----------------------------------------------------------------------- ??? [98] 100.0% [100] 1010(4.9%) 1010(4.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------