Profiling results ----------------- Total cpu time observed: 19408ms (out of 19240ms) Number of samples taken: 80 (once every 243ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 101 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [25] 100.0% [1] 18676(96.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [25] 100.0% [2] 9324(48.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 94.1% get-final-combination [8] 3.9% loop [31] 2.0% ---------------------------------------------------------------------- loop [70] 4.6% ??? [25] 95.4% [3] 8010(41.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [6] 76.5% for-loop [7] 16.8% iterate-egraph!5 [10] 6.8% ---------------------------------------------------------------------- profile-thunk14 [1] 99.1% [4] 18852(97.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [25] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 8772(45.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [6] 6126(31.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [10] 97.0% loop [12] 3.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 1342(6.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [10] 86.6% loop [12] 13.4% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 368(1.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [11] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [9] 8772(45.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 87.1% finalize-iter! [15] 9.0% gen-series! [17] 3.9% ---------------------------------------------------------------------- simplify [3] 7.1% for-loop [7] 15.2% simplify-expr [6] 77.7% [10] 7648(39.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [13] 100.0% ---------------------------------------------------------------------- get-final-combination [8] 100.0% [11] 368(1.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [70] 100.0% ---------------------------------------------------------------------- for-loop [7] 49.7% simplify-expr [6] 50.3% [12] 362(1.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [16] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [10] 100.0% [13] 7648(39.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [19] 63.9% loop [20] 28.2% loop [22] 5.3% apply-match [26] 2.6% ---------------------------------------------------------------------- run-iter! [9] 100.0% [14] 7642(39.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [15] 788(4.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [21] 100.0% ---------------------------------------------------------------------- loop [12] 100.0% [16] 362(1.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [23] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [17] 342(1.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [24] 100.0% ---------------------------------------------------------------------- simplify! [14] 100.0% [18] 7642(39.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [25] 100.0% ---------------------------------------------------------------------- for-loop [19] 50.0% one-iter [13] 50.0% [19] 4890(25.2%) 808(4.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [19] 50.0% match-e [32] 41.7% ---------------------------------------------------------------------- one-iter [13] 100.0% [20] 2158(11.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [26] 100.0% ---------------------------------------------------------------------- finalize-iter! [15] 100.0% [21] 788(4.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [27] 100.0% ---------------------------------------------------------------------- one-iter [13] 100.0% [22] 402(2.1%) 402(2.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- pass [16] 100.0% [23] 362(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [29] 50.3% for-loop [30] 49.7% ---------------------------------------------------------------------- gen-series! [17] 100.0% [24] 342(1.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% ---------------------------------------------------------------------- for-loop [18] 13.4% run [4] 43.0% [25] 19216(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 42.1% loop [31] 26.2% run-improve58 [2] 18.3% simplify [3] 13.4% ---------------------------------------------------------------------- one-iter [13] 8.4% loop [20] 91.6% [26] 2356(12.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [32] 25.2% update-leader! [34] 17.7% for-loop [35] 17.0% merge-egraph-nodes! [37] 14.1% substitute-e [38] 9.4% reduce-to-single! [39] 8.4% loop! [75] 8.2% ---------------------------------------------------------------------- ??? [21] 100.0% [27] 788(4.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [33] 100.0% ---------------------------------------------------------------------- for-loop [24] 100.0% [28] 342(1.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [36] 100.0% ---------------------------------------------------------------------- for-loop [23] 100.0% [29] 182(0.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [40] 100.0% ---------------------------------------------------------------------- for-loop [23] 100.0% [30] 180(0.9%) 180(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- run-improve58 [2] 1.8% ??? [25] 98.2% [31] 10076(51.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [51] 60.5% loop [41] 35.9% loop [52] 1.8% ---------------------------------------------------------------------- for-loop [54] 4.2% apply-match [26] 8.5% for-loop [19] 87.3% [32] 4676(24.1%) 918(4.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 43.6% constant? [43] 20.3% list-cartesian-product [55] 8.3% loop [70] 4.3% for-loop [54] 3.8% filter [49] 2.1% ---------------------------------------------------------------------- for-loop [27] 100.0% [33] 788(4.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% ---------------------------------------------------------------------- apply-match [26] 100.0% [34] 416(2.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [46] 100.0% ---------------------------------------------------------------------- apply-match [26] 100.0% [35] 400(2.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [75] 50.0% mk-enode! [45] 50.0% ---------------------------------------------------------------------- taylor-alt [28] 100.0% [36] 342(1.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ---------------------------------------------------------------------- for-loop [48] 22.6% apply-match [26] 77.4% [37] 332(1.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [48] 100.0% ---------------------------------------------------------------------- apply-match [26] 100.0% [38] 222(1.1%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [45] 100.0% ---------------------------------------------------------------------- apply-match [26] 100.0% [39] 198(1.0%) 198(1.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ---------------------------------------------------------------------- argmin [29] 100.0% [40] 182(0.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [50] 100.0% ---------------------------------------------------------------------- loop [31] 100.0% [41] 3616(18.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 46.2% make-exacts* [51] 29.8% eval-prog [53] 24.1% ---------------------------------------------------------------------- match-e [32] 100.0% [42] 2238(11.5%) 1148(5.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 26.1% list-cartesian-product [55] 12.9% curry* [59] 9.7% ---------------------------------------------------------------------- match-e [32] 100.0% [43] 950(4.9%) 950(4.9%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- atab-add-altn [33] 100.0% [44] 788(4.1%) 212(1.1%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [57] 50.5% errors [61] 22.6% ---------------------------------------------------------------------- for-loop [35] 47.4% substitute-e [38] 52.6% [45] 422(2.2%) 222(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [60] 47.4% ---------------------------------------------------------------------- update-leader! [34] 100.0% [46] 416(2.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [56] 100.0% ---------------------------------------------------------------------- location-do [47] 50.0% for-loop [36] 50.0% [47] 342(1.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [47] 50.0% approximate9 [58] 50.0% ---------------------------------------------------------------------- merge-egraph-nodes! [37] 100.0% [48] 332(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [75] 77.4% merge-egraph-nodes! [37] 22.6% ---------------------------------------------------------------------- match-e [32] 100.0% [49] 200(1.0%) 200(1.0%) filter ...t/collects/racket/private/list.rkt:256:2 ---------------------------------------------------------------------- expression-cost [40] 100.0% [50] 182(0.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [71] 100.0% ---------------------------------------------------------------------- loop [41] 15.0% loop [31] 85.0% [51] 7176(37.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [70] 59.2% map [62] 40.8% ---------------------------------------------------------------------- loop [31] 9.9% loop [41] 90.1% [52] 1854(9.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [62] 100.0% ---------------------------------------------------------------------- loop [41] 100.0% [53] 870(4.5%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [71] 100.0% ---------------------------------------------------------------------- match-e [32] 23.4% for-loop [42] 76.6% [54] 762(3.9%) 178(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [32] 52.0% ??? [68] 24.7% ---------------------------------------------------------------------- list-cartesian-product [55] 14.5% for-loop [42] 42.6% match-e [32] 42.9% [55] 676(3.5%) 388(2.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [65] 42.6% list-cartesian-product [55] 14.5% ---------------------------------------------------------------------- for-loop [46] 100.0% [56] 416(2.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [63] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [57] 398(2.1%) 398(2.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- location-do [47] 100.0% [58] 342(1.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [64] 100.0% ---------------------------------------------------------------------- for-loop [42] 100.0% [59] 218(1.1%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [66] 100.0% ---------------------------------------------------------------------- mk-enode! [45] 100.0% [60] 200(1.0%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 mutable-set [67] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [61] 178(0.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [69] 100.0% ---------------------------------------------------------------------- loop [52] 38.8% make-exacts* [51] 61.2% [62] 4782(24.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [70] 96.2% ??? [73] 3.8% ---------------------------------------------------------------------- for-loop [56] 100.0% [63] 416(2.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [72] 100.0% ---------------------------------------------------------------------- approximate9 [58] 100.0% [64] 342(1.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% ---------------------------------------------------------------------- list-cartesian-product [55] 100.0% [65] 288(1.5%) 288(1.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- curry* [59] 100.0% [66] 218(1.1%) 218(1.1%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------- new-enode [60] 100.0% [67] 200(1.0%) 200(1.0%) mutable-set ...racket/private/set-types.rkt:1000:0 ---------------------------------------------------------------------- for-loop [54] 100.0% [68] 188(1.0%) 188(1.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ---------------------------------------------------------------------- errors [61] 100.0% [69] 178(0.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 100.0% ---------------------------------------------------------------------- ??? [73] 0.0% map [62] 0.2% make-exacts* [51] 0.7% extract-alt [11] 1.1% loop! [75] 1.6% match-e [32] 2.0% loop [70] 94.3% [70] 9988(51.5%) 200(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [70] 94.3% loop! [75] 1.6% simplify [3] 1.1% ??? [73] 0.9% real->bigfloat [82] 0.0% ---------------------------------------------------------------------- ??? [79] 4.3% ??? [78] 6.5% compile [50] 6.5% loop [64] 7.2% ??? [77] 13.1% eval-prog [53] 62.4% [71] 1394(7.2%) 346(1.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [74] 62.4% ??? [77] 13.1% ??? [78] 6.5% ??? [79] 4.3% simplify [80] 4.3% ---------------------------------------------------------------------- hash-update! [63] 100.0% [72] 416(2.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [76] 100.0% ---------------------------------------------------------------------- for-loop [69] 1.9% map [62] 2.0% loop [70] 96.1% [73] 9400(48.4%) 1098(5.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 52.4% real->bigfloat [82] 31.3% ??? [96] 2.6% loop [70] 2.1% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [74] 870(4.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [83] 100.0% ---------------------------------------------------------------------- for-loop [35] 9.2% apply-match [26] 26.7% loop [70] 30.9% for-loop [48] 33.2% [75] 726(3.7%) 194(1.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [84] 33.2% loop [70] 30.9% set [85] 9.2% ---------------------------------------------------------------------- ??? [72] 100.0% [76] 416(2.1%) 416(2.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- hash-ref! [71] 100.0% [77] 342(1.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [71] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [78] 182(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [71] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [79] 178(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [71] 100.0% ---------------------------------------------------------------------- hash-ref! [71] 100.0% [80] 178(0.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f66 [86] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [81] 4926(25.4%) 688(3.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [87] 39.1% ??? [92] 37.4% ...higher-order.rkt:373:33 [88] 9.5% ---------------------------------------------------------------------- loop [70] 6.2% ??? [73] 93.8% [82] 3132(16.1%) 2254(11.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 28.0% ---------------------------------------------------------------------- bigfloat-hash [74] 100.0% [83] 870(4.5%) 870(4.5%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- loop! [75] 100.0% [84] 332(1.7%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [89] 100.0% ---------------------------------------------------------------------- loop! [75] 100.0% [85] 200(1.0%) 200(1.0%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- composed [90] 20.0% simplify [80] 20.0% append-map [91] 60.0% [86] 178(0.9%) 0(0.0%) f66 ...t/collects/racket/match/compiler.rkt:499:40 append-map [91] 80.0% composed [90] 20.0% ---------------------------------------------------------------------- ??? [81] 100.0% [87] 1928(9.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ---------------------------------------------------------------------- ??? [81] 100.0% [88] 470(2.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ---------------------------------------------------------------------- custom-set-union [84] 100.0% [89] 332(1.7%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [94] 100.0% ---------------------------------------------------------------------- f66 [86] 100.0% [90] 178(0.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f66 [86] 100.0% ---------------------------------------------------------------------- f66 [86] 100.0% [91] 178(0.9%) 178(0.9%) append-map ...acket/collects/racket/list.rkt:565:2 f66 [86] 75.0% ---------------------------------------------------------------------- ??? [81] 48.8% bf* [87] 51.2% [92] 3768(19.4%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [95] 87.1% ??? [98] 12.9% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [93] 470(2.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ---------------------------------------------------------------------- for-loop [89] 100.0% [94] 332(1.7%) 332(1.7%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ??? [92] 100.0% [95] 3282(16.9%) 2588(13.3%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 21.1% ---------------------------------------------------------------------- ??? [73] 34.2% ??? [93] 65.8% [96] 714(3.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ---------------------------------------------------------------------- bfdiv [95] 44.1% real->bigfloat [82] 55.9% [97] 1572(8.1%) 1572(8.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [92] 40.5% ??? [96] 59.5% [98] 1200(6.2%) 236(1.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 80.3% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 964(5.0%) 708(3.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 26.6% ---------------------------------------------------------------------- ??? [99] 100.0% [100] 256(1.3%) 256(1.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------