Profiling results ----------------- Total cpu time observed: 21810ms (out of 22264ms) Number of samples taken: 89 (once every 245ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 96 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [26] 100.0% [1] 21204(97.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% --------------------------------------------------------------------- ??? [26] 100.0% [2] 7072(32.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 94.3% get-final-combination [9] 2.8% loop [31] 2.8% --------------------------------------------------------------------- loop [67] 3.8% ??? [26] 96.2% [3] 5270(24.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 42.4% for-loop [8] 38.5% iterate-egraph!5 [11] 19.1% --------------------------------------------------------------------- hash-ref! [73] 100.0% [4] 200(0.9%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 21204(97.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [26] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 6672(30.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [7] 2234(10.2%) 222(1.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 81.0% loop [12] 9.0% --------------------------------------------------------------------- simplify [3] 100.0% [8] 2030(9.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 200(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] 6672(30.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 76.0% finalize-iter! [16] 12.0% gen-series! [17] 9.0% localize-error [19] 3.0% --------------------------------------------------------------------- simplify [3] 20.8% simplify-expr [7] 37.4% for-loop [8] 41.9% [11] 4846(22.2%) 200(0.9%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [15] 95.9% --------------------------------------------------------------------- simplify-expr [7] 100.0% [12] 202(0.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [18] 100.0% --------------------------------------------------------------------- get-final-combination [9] 100.0% [13] 200(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% --------------------------------------------------------------------- run-iter! [10] 100.0% [14] 5070(23.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [20] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [15] 4646(21.3%) 404(1.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [21] 52.4% loop [22] 30.3% apply-match [27] 8.7% --------------------------------------------------------------------- run-iter! [10] 100.0% [16] 802(3.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [23] 100.0% --------------------------------------------------------------------- run-iter! [10] 100.0% [17] 600(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [24] 100.0% --------------------------------------------------------------------- loop [12] 100.0% [18] 202(0.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [25] 100.0% --------------------------------------------------------------------- run-iter! [10] 100.0% [19] 200(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [73] 100.0% --------------------------------------------------------------------- simplify! [14] 100.0% [20] 5070(23.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [26] 100.0% --------------------------------------------------------------------- for-loop [21] 50.0% one-iter [15] 50.0% [21] 2434(11.2%) 402(1.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [21] 50.0% match-e [32] 41.7% --------------------------------------------------------------------- one-iter [15] 100.0% [22] 1406(6.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [27] 100.0% --------------------------------------------------------------------- finalize-iter! [16] 100.0% [23] 802(3.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [28] 100.0% --------------------------------------------------------------------- gen-series! [17] 100.0% [24] 600(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [29] 100.0% --------------------------------------------------------------------- pass [18] 100.0% [25] 202(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [30] 100.0% --------------------------------------------------------------------- for-loop [20] 8.0% run [5] 45.3% [26] 21606(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.3% loop [31] 34.1% run-improve58 [2] 12.6% simplify [3] 8.0% --------------------------------------------------------------------- one-iter [15] 22.2% loop [22] 77.8% [27] 1808(8.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [32] 33.3% for-loop [35] 22.3% merge-egraph-nodes! [36] 22.1% mk-enode! [42] 11.2% update-leader! [43] 11.1% --------------------------------------------------------------------- ??? [23] 100.0% [28] 802(3.7%) 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% [29] 600(2.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% --------------------------------------------------------------------- for-loop [25] 100.0% [30] 202(0.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [37] 100.0% --------------------------------------------------------------------- run-improve58 [2] 1.4% ??? [26] 98.6% [31] 14734(67.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [48] 40.2% loop [38] 38.0% loop [49] 21.7% --------------------------------------------------------------------- for-loop [50] 16.5% apply-match [27] 19.1% for-loop [21] 64.4% [32] 2634(12.1%) 1206(5.5%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [39] 45.3% for-loop [50] 6.4% loop [67] 3.8% constant? [44] 2.6% --------------------------------------------------------------------- for-loop [28] 100.0% [33] 802(3.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [40] 100.0% --------------------------------------------------------------------- taylor-alt [29] 100.0% [34] 600(2.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [41] 100.0% --------------------------------------------------------------------- apply-match [27] 100.0% [35] 404(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [45] 50.0% mk-enode! [42] 50.0% --------------------------------------------------------------------- apply-match [27] 100.0% [36] 400(1.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [47] 50.0% update-leader! [43] 50.0% --------------------------------------------------------------------- argmin [30] 100.0% [37] 202(0.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [46] 100.0% --------------------------------------------------------------------- loop [31] 100.0% [38] 5600(25.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [48] 55.2% loop [49] 44.8% --------------------------------------------------------------------- match-e [32] 100.0% [39] 1628(7.5%) 402(1.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [50] 49.3% filter [54] 13.6% list-cartesian-product [55] 12.4% --------------------------------------------------------------------- atab-add-altn [33] 100.0% [40] 802(3.7%) 200(0.9%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [51] 75.1% --------------------------------------------------------------------- for-loop [34] 44.4% location-do [41] 55.6% [41] 600(2.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [41] 55.6% approximate9 [52] 44.4% --------------------------------------------------------------------- for-loop [35] 50.0% apply-match [27] 50.0% [42] 404(1.9%) 404(1.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- apply-match [27] 50.0% merge-egraph-nodes! [36] 50.0% [43] 400(1.8%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [53] 100.0% --------------------------------------------------------------------- match-e [32] 100.0% [44] 202(0.9%) 202(0.9%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- for-loop [35] 100.0% [45] 202(0.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [56] 100.0% --------------------------------------------------------------------- expression-cost [37] 100.0% [46] 202(0.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [73] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [47] 200(0.9%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [57] 100.0% --------------------------------------------------------------------- loop [38] 34.3% loop [31] 65.7% [48] 9022(41.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [67] 59.1% map [63] 40.9% --------------------------------------------------------------------- loop [38] 43.9% loop [31] 56.1% [49] 5712(26.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [63] 100.0% --------------------------------------------------------------------- match-e [32] 25.1% for-loop [39] 74.9% [50] 802(3.7%) 200(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [32] 87.5% --------------------------------------------------------------------- best-and-tied-at-points [40] 100.0% [51] 602(2.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [59] 66.8% eval-prog [62] 33.2% --------------------------------------------------------------------- location-do [41] 100.0% [52] 600(2.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [58] 66.3% taylor-sqrt [64] 33.7% --------------------------------------------------------------------- update-leader! [43] 100.0% [53] 400(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [60] 100.0% --------------------------------------------------------------------- for-loop [39] 100.0% [54] 222(1.0%) 222(1.0%) filter ...t/collects/racket/private/list.rkt:256:2 --------------------------------------------------------------------- list-cartesian-product [55] 50.0% for-loop [39] 50.0% [55] 202(0.9%) 202(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [55] 50.0% --------------------------------------------------------------------- loop! [45] 100.0% [56] 202(0.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [61] 100.0% --------------------------------------------------------------------- enode-merge! [47] 100.0% [57] 200(0.9%) 200(0.9%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 --------------------------------------------------------------------- f6 [58] 16.6% hash-ref! [73] 33.4% approximate9 [52] 50.0% [58] 598(2.7%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 taylor-sqrt [64] 33.4% map [63] 33.4% f6 [58] 16.6% taylor [66] 16.6% --------------------------------------------------------------------- errors [51] 100.0% [59] 402(1.8%) 202(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [69] 49.8% --------------------------------------------------------------------- for-loop [53] 100.0% [60] 400(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [65] 100.0% --------------------------------------------------------------------- custom-set-union [56] 100.0% [61] 202(0.9%) 202(0.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 --------------------------------------------------------------------- errors [51] 100.0% [62] 200(0.9%) 200(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- f6 [58] 2.1% make-exacts* [48] 38.4% loop [49] 59.5% [63] 9604(44.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 97.9% ??? [71] 2.1% --------------------------------------------------------------------- f6 [58] 49.8% approximate9 [52] 50.2% [64] 402(1.8%) 200(0.9%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [73] 50.2% --------------------------------------------------------------------- for-loop [60] 100.0% [65] 400(1.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [68] 100.0% --------------------------------------------------------------------- f6 [58] 100.0% [66] 198(0.9%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [91] 100.0% --------------------------------------------------------------------- make-exacts* [48] 0.6% extract-alt [13] 0.7% parse-loop12 [4] 1.3% match-e [32] 1.3% map [63] 2.1% loop [67] 94.1% [67] 15334(70.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 94.1% ??? [69] 2.6% ??? [71] 1.3% simplify [3] 0.7% --------------------------------------------------------------------- hash-update! [65] 100.0% [68] 400(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [70] 100.0% --------------------------------------------------------------------- for-loop [59] 1.3% loop [67] 98.7% [69] 14934(68.5%) 1548(7.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [72] 66.9% real->bigfloat [82] 12.3% ??? [86] 7.4% ...e/case-arrow.rkt:150:50 [74] 1.6% --------------------------------------------------------------------- ??? [68] 100.0% [70] 400(1.8%) 400(1.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- map [63] 33.3% loop [67] 66.7% [71] 200(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [73] 100.0% --------------------------------------------------------------------- ??? [69] 100.0% [72] 9984(45.8%) 214(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [81] 77.0% ...higher-order.rkt:373:33 [75] 11.7% bf* [76] 7.2% ??? [79] 2.0% --------------------------------------------------------------------- localize-error [19] 8.3% ??? [78] 16.7% compile [46] 16.7% ??? [71] 24.8% taylor-sqrt [64] 33.4% [73] 604(2.8%) 202(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [77] 33.4% ??? [78] 16.7% parse-loop12 [4] 16.6% f6 [58] 8.3% ??? [80] 8.3% --------------------------------------------------------------------- ??? [69] 100.0% [74] 236(1.1%) 236(1.1%) ...e/case-arrow.rkt:150:50 (unknown source) --------------------------------------------------------------------- ??? [72] 100.0% [75] 1172(5.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [83] 77.0% ??? [86] 23.0% --------------------------------------------------------------------- ??? [72] 100.0% [76] 714(3.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [81] 100.0% --------------------------------------------------------------------- hash-ref! [73] 100.0% [77] 202(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [84] 100.0% --------------------------------------------------------------------- hash-ref! [73] 100.0% [78] 202(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [73] 100.0% --------------------------------------------------------------------- ??? [72] 100.0% [79] 200(0.9%) 200(0.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- hash-ref! [73] 100.0% [80] 200(0.9%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 real->bigfloat [82] 100.0% --------------------------------------------------------------------- bf* [76] 8.5% ??? [72] 91.5% [81] 8398(38.5%) 1964(9.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [85] 47.8% bfsqr [87] 15.6% ??? [89] 13.1% --------------------------------------------------------------------- ??? [80] 9.8% ??? [69] 90.2% [82] 2040(9.4%) 1328(6.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [90] 34.9% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [75]100.0% [83] 902(4.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [86] 100.0% --------------------------------------------------------------------- ??? [77] 100.0% [84] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 simplify [88] 100.0% --------------------------------------------------------------------- ??? [81] 100.0% [85] 4018(18.4%) 2026(9.3%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [90] 49.6% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [75] 11.8% ??? [83] 39.6% ??? [69] 48.6% [86] 2280(10.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% --------------------------------------------------------------------- ??? [81] 100.0% [87] 1314(6.0%) 1100(5.0%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [90] 16.3% --------------------------------------------------------------------- for-loop [84] 100.0% [88] 202(0.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [91] 100.0% --------------------------------------------------------------------- ??? [81] 32.6% ??? [86] 67.4% [89] 3382(15.5%) 680(3.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 79.9% --------------------------------------------------------------------- bfsqr [87] 7.3% real->bigfloat [82] 24.4% bfsub [85] 68.3% [90] 2918(13.4%) 2918(13.4%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- taylor [66] 49.5% simplify [88] 50.5% [91] 400(1.8%) 202(0.9%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [93] 49.5% --------------------------------------------------------------------- ??? [89] 100.0% [92] 2702(12.4%) 2026(9.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 25.0% --------------------------------------------------------------------- debug-print [91] 100.0% [93] 198(0.9%) 198(0.9%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- ??? [92] 100.0% [94] 676(3.1%) 676(3.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------