Profiling results ----------------- Total cpu time observed: 26736ms (out of 27132ms) Number of samples taken: 118 (once every 227ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 100 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [22] 100.0% [1] 25312(94.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% --------------------------------------------------------------------- ??? [22] 100.0% [2] 14590(54.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 95.7% loop [28] 1.5% setup-prog [6] 1.4% get-final-combination [7] 1.4% --------------------------------------------------------------------- f37 [57] 100.0% [3] 200(0.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [8] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 25312(94.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [22] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 13968(52.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 204(0.8%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [10] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 202(0.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [11] 100.0% --------------------------------------------------------------------- taylor-invert [3] 100.0% [8] 200(0.7%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 simplify [12] 100.0% --------------------------------------------------------------------- for-loop [5] 100.0% [9] 13968(52.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 94.2% finalize-iter! [15] 4.3% gen-series! [16] 1.4% --------------------------------------------------------------------- setup-prog [6] 100.0% [10] 204(0.8%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [13] 100.0% --------------------------------------------------------------------- get-final-combination [7] 100.0% [11] 202(0.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [52] 100.0% --------------------------------------------------------------------- first-nonzero-exp [8] 100.0% [12] 200(0.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [57] 100.0% --------------------------------------------------------------------- loop [52] 1.5% simplify-alt [10] 1.5% ??? [22] 97.0% [13] 13570(50.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [18] 69.9% for-loop [19] 18.4% iterate-egraph!5 [23] 11.7% --------------------------------------------------------------------- run-iter! [9] 100.0% [14] 13164(49.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [17] 100.0% --------------------------------------------------------------------- run-iter! [9] 100.0% [15] 604(2.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% --------------------------------------------------------------------- run-iter! [9] 100.0% [16] 200(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [21] 100.0% --------------------------------------------------------------------- simplify! [14] 100.0% [17] 13164(49.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [22] 100.0% --------------------------------------------------------------------- simplify [13] 100.0% [18] 9484(35.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 97.9% loop [25] 2.1% --------------------------------------------------------------------- simplify [13] 100.0% [19] 2492(9.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 92.0% loop [25] 8.0% --------------------------------------------------------------------- finalize-iter! [15] 100.0% [20] 604(2.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [24] 100.0% --------------------------------------------------------------------- gen-series! [16] 100.0% [21] 200(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [26] 100.0% --------------------------------------------------------------------- for-loop [17] 17.1% run [4] 40.0% [22] 26516(99.2%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.0% loop [28] 23.2% run-improve58 [2] 19.7% simplify [13] 17.1% --------------------------------------------------------------------- simplify [13] 12.1% for-loop [19] 17.4% simplify-expr [18] 70.5% [23] 13168(49.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [27] 95.4% map-enodes [30] 4.6% --------------------------------------------------------------------- ??? [20] 100.0% [24] 604(2.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [29] 100.0% --------------------------------------------------------------------- for-loop [19] 49.8% simplify-expr [18] 50.2% [25] 402(1.5%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [31] 100.0% --------------------------------------------------------------------- for-loop [21] 100.0% [26] 200(0.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [32] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [27] 12566(47.0%) 664(2.5%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [34] 49.6% loop [35] 43.6% apply-match [40] 1.6% --------------------------------------------------------------------- run-improve58 [2] 1.8% ??? [22] 98.2% [28] 12142(45.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [33] 54.1% make-exacts* [39] 32.7% loop [41] 13.2% --------------------------------------------------------------------- for-loop [24] 100.0% [29] 604(2.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [36] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [30] 602(2.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [52] 100.0% --------------------------------------------------------------------- loop [25] 100.0% [31] 402(1.5%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [37] 100.0% --------------------------------------------------------------------- taylor-alt [26] 100.0% [32] 200(0.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [38] 100.0% --------------------------------------------------------------------- loop [28] 100.0% [33] 6570(24.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [41] 58.7% make-exacts* [39] 41.3% --------------------------------------------------------------------- for-loop [34] 50.0% one-iter [27] 50.0% [34] 6228(23.3%) 1208(4.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [34] 50.0% match-e [46] 38.7% ??? [75] 1.6% --------------------------------------------------------------------- one-iter [27] 100.0% [35] 5474(20.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% --------------------------------------------------------------------- atab-add-altn [29] 100.0% [36] 604(2.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [42] 100.0% --------------------------------------------------------------------- pass [31] 100.0% [37] 402(1.5%) 200(0.7%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [43] 50.2% --------------------------------------------------------------------- for-loop [32] 100.0% [38] 200(0.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [44] 100.0% --------------------------------------------------------------------- loop [33] 40.6% loop [28] 59.4% [39] 6682(25.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [45] 48.1% loop [52] 38.9% eval-prog [47] 13.0% --------------------------------------------------------------------- one-iter [27] 3.5% loop [35] 96.5% [40] 5674(21.2%) 202(0.8%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [54] 39.0% for-loop [48] 25.1% loop! [59] 14.3% match-e [46] 10.6% substitute-e [49] 7.4% --------------------------------------------------------------------- loop [28] 29.4% loop [33] 70.6% [41] 5460(20.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [45] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [36] 100.0% [42] 604(2.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [47] 100.0% --------------------------------------------------------------------- for-loop [37] 100.0% [43] 202(0.8%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [50] 100.0% --------------------------------------------------------------------- location-do [38] 100.0% [44] 200(0.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 for-loop [51] 100.0% --------------------------------------------------------------------- f37 [57] 2.3% make-exacts* [39] 36.2% loop [41] 61.5% [45] 8872(33.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [52] 95.6% f37 [57] 2.3% ??? [58] 2.2% --------------------------------------------------------------------- apply-match [40] 7.4% for-loop [60] 13.1% for-loop [34] 79.5% [46] 5422(20.3%) 2812(10.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 42.8% constant? [55] 7.4% for-loop [60] 3.7% list-cartesian-product [62] 1.8% --------------------------------------------------------------------- errors [42] 41.0% make-exacts* [39] 59.0% [47] 1474(5.5%) 1272(4.8%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [64] 13.7% --------------------------------------------------------------------- apply-match [40] 100.0% [48] 1426(5.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [59] 70.5% merge-egraph-nodes! [54] 29.5% --------------------------------------------------------------------- substitute-e [49] 26.2% apply-match [40] 73.8% [49] 420(1.6%) 420(1.6%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [49] 26.2% --------------------------------------------------------------------- loop [43] 100.0% [50] 202(0.8%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [56] 100.0% --------------------------------------------------------------------- approximate9 [44] 100.0% [51] 200(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f37 [57] 100.0% --------------------------------------------------------------------- make-exacts* [39] 0.1% map-enodes [30] 0.2% ??? [58] 0.3% map [45] 1.2% ??? [73] 1.5% extract-alt [11] 1.5% loop! [59] 5.3% loop [52] 89.9% [52] 13500(50.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [52] 89.9% loop! [59] 5.3% simplify [13] 1.5% hash-ref! [64] 1.5% ??? [58] 1.3% ??? [92] 0.2% for-loop [65] 0.2% real->bigfloat [67] 0.0% --------------------------------------------------------------------- match-e [46] 100.0% [53] 2830(10.6%) 1204(4.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [60] 43.3% list-cartesian-product [62] 17.7% --------------------------------------------------------------------- for-loop [66] 3.8% merge-egraph-nodes! [54] 7.6% for-loop [48] 15.9% apply-match [40] 72.6% [54] 2634(9.9%) 200(0.7%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [61] 34.5% for-loop [63] 23.5% loop! [59] 23.0% merge-egraph-nodes! [54] 7.6% for-loop [66] 3.8% --------------------------------------------------------------------- match-e [46] 100.0% [55] 402(1.5%) 402(1.5%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- expression-cost [50] 100.0% [56] 202(0.8%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [64] 100.0% --------------------------------------------------------------------- simplify [12] 33.3% map [45] 33.3% for-loop [51] 33.3% [57] 200(0.7%) 200(0.7%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [45] 33.3% taylor-invert [3] 33.3% --------------------------------------------------------------------- map [45] 1.7% loop [52] 98.3% [58] 11272(42.2%) 736(2.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [68] 37.9% real->bigfloat [67] 35.1% loop [52] 10.2% ??? [92] 8.0% new [76] 2.2% --------------------------------------------------------------------- apply-match [40] 19.3% for-loop [48] 26.8% merge-egraph-nodes! [54] 26.9% loop [52] 27.0% [59] 2622(9.8%) 606(2.3%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [69] 38.3% loop [52] 27.0% set [70] 11.6% update-en-expr [72] 7.7% --------------------------------------------------------------------- match-e [46] 12.4% for-loop [53] 87.6% [60] 1626(6.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [46] 87.6% ??? [75] 12.4% --------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [61] 1008(3.8%) 404(1.5%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [71] 59.9% --------------------------------------------------------------------- match-e [46] 12.5% list-cartesian-product [62] 24.9% for-loop [53] 62.6% [62] 802(3.0%) 400(1.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [74] 37.7% list-cartesian-product [62] 24.9% --------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [63] 620(2.3%) 620(2.3%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- loop [52] 25.0% eval-prog [47] 25.0% ??? [73] 25.0% compile [56] 25.0% [64] 404(1.5%) 404(1.5%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [73] 50.0% --------------------------------------------------------------------- loop [52] 100.0% [65] 400(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [77] 50.5% compose [78] 49.5% --------------------------------------------------------------------- merge-egraph-nodes! [54] 100.0% [66] 202(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [54] 100.0% --------------------------------------------------------------------- loop [52] 11.1% ??? [58] 88.9% [67] 4454(16.7%) 3270(12.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [80] 26.6% --------------------------------------------------------------------- ??? [58] 100.0% [68] 4276(16.0%) 218(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 55.4% bf* [79] 27.9% ...higher-order.rkt:373:33 [83] 11.6% --------------------------------------------------------------------- loop! [59] 100.0% [69] 1004(3.8%) 202(0.8%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [82] 59.8% for-loop [85] 20.1% --------------------------------------------------------------------- loop! [59] 100.0% [70] 608(2.3%) 608(2.3%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- update-leader! [61] 100.0% [71] 604(2.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [81] 100.0% --------------------------------------------------------------------- loop! [59] 100.0% [72] 404(1.5%) 404(1.5%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- hash-ref! [64] 100.0% [73] 404(1.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [64] 50.0% loop [52] 50.0% --------------------------------------------------------------------- list-cartesian-product [62] 100.0% [74] 402(1.5%) 402(1.5%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 --------------------------------------------------------------------- for-loop [34] 49.8% for-loop [60] 50.2% [75] 402(1.5%) 202(0.8%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [86] 49.8% --------------------------------------------------------------------- ??? [58] 100.0% [76] 252(0.9%) 252(0.9%) new ...cket/contract/private/case-arrow.rkt:227:53 --------------------------------------------------------------------- for-loop [65] 100.0% [77] 202(0.8%) 0(0.0%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 custom-in-set [84] 100.0% --------------------------------------------------------------------- for-loop [65] 100.0% [78] 198(0.7%) 198(0.7%) compose ...collects/racket/private/list.rkt:385:12 --------------------------------------------------------------------- ??? [68] 100.0% [79] 1192(4.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [87] 100.0% --------------------------------------------------------------------- real->bigfloat [67] 100.0% [80] 1184(4.4%) 1184(4.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- for-loop [71] 100.0% [81] 604(2.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [88] 100.0% --------------------------------------------------------------------- custom-set-union [69] 100.0% [82] 600(2.2%) 200(0.7%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [89] 66.7% --------------------------------------------------------------------- ??? [68] 100.0% [83] 498(1.9%) 274(1.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 45.0% --------------------------------------------------------------------- setfindf [77] 100.0% [84] 202(0.8%) 202(0.8%) custom-in-set ...acket/private/set-types.rkt:578:0 --------------------------------------------------------------------- custom-set-union [69] 100.0% [85] 202(0.8%) 202(0.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 --------------------------------------------------------------------- ??? [75] 100.0% [86] 200(0.7%) 200(0.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 --------------------------------------------------------------------- bf* [79] 33.5% ??? [68] 66.5% [87] 3560(13.3%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [91] 79.8% ??? [95] 13.1% bfneg [94] 7.1% --------------------------------------------------------------------- for-loop [81] 100.0% [88] 604(2.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [93] 100.0% --------------------------------------------------------------------- for-loop [82] 100.0% [89] 400(1.5%) 400(1.5%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- ...higher-order.rkt:373:33 [83]100.0% [90] 224(0.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% --------------------------------------------------------------------- ??? [87] 100.0% [91] 2842(10.6%) 2842(10.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 --------------------------------------------------------------------- ??? [90] 14.2% loop [52] 29.1% ??? [58] 56.8% [92] 1582(5.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% --------------------------------------------------------------------- hash-update! [88] 100.0% [93] 604(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [96] 100.0% --------------------------------------------------------------------- ??? [87] 100.0% [94] 252(0.9%) 252(0.9%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 --------------------------------------------------------------------- ??? [87] 22.8% ??? [92] 77.2% [95] 2048(7.7%) 914(3.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 55.4% --------------------------------------------------------------------- ??? [93] 100.0% [96] 604(2.3%) 604(2.3%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- ??? [95] 100.0% [97] 1134(4.2%) 668(2.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 41.1% --------------------------------------------------------------------- ??? [97] 100.0% [98] 466(1.7%) 466(1.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------