Profiling results ----------------- Total cpu time observed: 21446ms (out of 22048ms) Number of samples taken: 86 (once every 249ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 90 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [30] 100.0% [1] 20804(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% --------------------------------------------------------------------- ??? [30] 100.0% [2] 6990(32.6%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 90.5% loop [36] 6.4% get-final-combination [9] 3.1% --------------------------------------------------------------------- loop [69] 4.3% ??? [30] 95.7% [3] 5106(23.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [7] 47.7% simplify-expr [8] 36.0% iterate-egraph!5 [12] 12.3% mk-egraph [10] 3.9% --------------------------------------------------------------------- f6 [70] 100.0% [4] 200(0.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [63] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 20804(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 6326(29.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [7] 2438(11.4%) 202(0.9%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 83.6% loop [15] 8.1% --------------------------------------------------------------------- simplify [3] 100.0% [8] 1838(8.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 220(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [10] 200(0.9%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [14] 100.0% --------------------------------------------------------------------- for-loop [6] 100.0% [11] 6326(29.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 77.2% finalize-iter! [18] 9.7% gen-series! [19] 6.6% localize-error [20] 6.4% --------------------------------------------------------------------- simplify [3] 14.0% simplify-expr [8] 40.8% for-loop [7] 45.2% [12] 4506(21.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 95.6% map-enodes [21] 4.4% --------------------------------------------------------------------- get-final-combination [9] 100.0% [13] 220(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [69] 100.0% --------------------------------------------------------------------- mk-egraph [10] 33.3% expr->enode [14] 66.7% [14] 200(0.9%) 200(0.9%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [14] 66.7% --------------------------------------------------------------------- for-loop [7] 100.0% [15] 198(0.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [22] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [16] 4886(22.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [23] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [17] 4306(20.1%) 200(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [24] 66.0% loop [25] 19.2% filter [28] 5.6% apply-match [32] 4.6% --------------------------------------------------------------------- run-iter! [11] 100.0% [18] 616(2.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [19] 418(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [20] 406(1.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [64] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [21] 200(0.9%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [69] 100.0% --------------------------------------------------------------------- loop [15] 100.0% [22] 198(0.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% --------------------------------------------------------------------- simplify! [16] 100.0% [23] 4886(22.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% --------------------------------------------------------------------- for-loop [24] 50.0% one-iter [17] 50.0% [24] 2840(13.2%) 400(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [24] 50.0% match-e [31] 43.0% --------------------------------------------------------------------- one-iter [17] 100.0% [25] 826(3.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% --------------------------------------------------------------------- finalize-iter! [18] 100.0% [26] 616(2.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [33] 100.0% --------------------------------------------------------------------- gen-series! [19] 100.0% [27] 418(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% --------------------------------------------------------------------- one-iter [17] 100.0% [28] 240(1.1%) 240(1.1%) filter ...t/collects/racket/private/list.rkt:256:2 --------------------------------------------------------------------- pass [22] 100.0% [29] 198(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [35] 100.0% --------------------------------------------------------------------- for-loop [23] 7.9% run [5] 45.8% [30] 21026(98.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.8% loop [36] 33.4% run-improve58 [2] 12.9% simplify [3] 7.9% --------------------------------------------------------------------- for-loop [45] 12.3% for-loop [24] 87.7% [31] 2440(11.4%) 1622(7.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [37] 37.6% --------------------------------------------------------------------- one-iter [17] 19.5% loop [25] 80.5% [32] 1026(4.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [43] 41.3% loop! [51] 19.7% for-loop [41] 19.5% substitute-e [40] 19.5% --------------------------------------------------------------------- ??? [26] 100.0% [33] 616(2.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [34] 418(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% --------------------------------------------------------------------- for-loop [29] 100.0% [35] 198(0.9%) 198(0.9%) loop ...hare/racket/collects/racket/list.rkt:729:4 --------------------------------------------------------------------- run-improve58 [2] 3.1% ??? [30] 96.9% [36] 14480(67.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [49] 38.4% loop [42] 34.2% loop [50] 27.4% --------------------------------------------------------------------- match-e [31] 100.0% [37] 1016(4.7%) 402(1.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [45] 39.3% loop [69] 21.5% curry* [48] 19.5% --------------------------------------------------------------------- for-loop [33] 100.0% [38] 616(2.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [44] 100.0% --------------------------------------------------------------------- taylor-alt [34] 100.0% [39] 418(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% --------------------------------------------------------------------- apply-match [32] 100.0% [40] 200(0.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [47] 100.0% --------------------------------------------------------------------- apply-match [32] 100.0% [41] 200(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [43] 100.0% --------------------------------------------------------------------- loop [36] 100.0% [42] 4954(23.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [50] 58.7% make-exacts* [49] 41.3% --------------------------------------------------------------------- for-loop [41] 32.1% apply-match [32] 67.9% [43] 624(2.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [51] 35.6% update-leader! [55] 32.4% for-loop [56] 32.1% --------------------------------------------------------------------- atab-add-altn [38] 100.0% [44] 616(2.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [53] 64.6% errors [54] 35.4% --------------------------------------------------------------------- for-loop [37] 100.0% [45] 600(2.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [31] 100.0% --------------------------------------------------------------------- for-loop [39] 38.0% location-do [46] 62.0% [46] 418(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [46] 62.0% approximate9 [52] 38.0% --------------------------------------------------------------------- substitute-e [40] 100.0% [47] 200(0.9%) 200(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- for-loop [37] 100.0% [48] 198(0.9%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [57] 100.0% --------------------------------------------------------------------- loop [42] 26.9% loop [36] 73.1% [49] 7602(35.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [69] 57.5% map [58] 42.5% --------------------------------------------------------------------- loop [42] 42.3% loop [36] 57.7% [50] 6878(32.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [43] 17.5% loop [69] 34.9% apply-match [32] 47.6% [51] 424(2.0%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [69] 82.5% custom-set-union [59] 17.5% --------------------------------------------------------------------- location-do [46] 100.0% [52] 418(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [70] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [53] 398(1.9%) 398(1.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- best-and-tied-at-points [44] 100.0% [54] 218(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [60] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [55] 202(0.9%) 202(0.9%) update-leader! ...herbie/src/core/egraph.rkt:217:0 --------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [56] 200(0.9%) 200(0.9%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- curry* [48] 100.0% [57] 198(0.9%) 198(0.9%) procedure-arity ...ket/private/norm-arity.rkt:7:27 --------------------------------------------------------------------- f6 [70] 4.0% make-exacts* [49] 30.6% loop [50] 65.3% [58] 10532(49.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 93.7% ??? [61] 4.0% ??? [73] 2.2% --------------------------------------------------------------------- loop! [51] 100.0% [59] 222(1.0%) 222(1.0%) custom-set-union ...et/private/set-types.rkt:168:0 --------------------------------------------------------------------- errors [54] 100.0% [60] 218(1.0%) 218(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- map [58] 46.0% loop [69] 54.0% [61] 624(2.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [64] 65.1% taylor-sqrt [62] 34.9% --------------------------------------------------------------------- ??? [61] 100.0% [62] 218(1.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [63] 100.0% --------------------------------------------------------------------- taylor-invert [4] 47.8% taylor-sqrt [62] 52.2% [63] 418(1.9%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [64] 52.2% simplify [65] 47.8% --------------------------------------------------------------------- ??? [77] 17.5% first-nonzero-exp [63] 17.5% localize-error [20] 24.2% ??? [61] 40.9% [64] 624(2.9%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [66] 48.4% ??? [67] 17.5% simplify [65] 17.5% f6 [70] 8.3% ??? [68] 8.3% --------------------------------------------------------------------- first-nonzero-exp [63] 47.8% hash-ref! [64] 52.2% [65] 418(1.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [71] 52.2% f6 [70] 47.8% --------------------------------------------------------------------- hash-ref! [64] 100.0% [66] 406(1.9%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [69] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [67] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [72] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [68] 208(1.0%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 loop [69] 100.0% --------------------------------------------------------------------- ??? [68] 0.0% parse-loop12 [66] 0.3% make-exacts* [49] 0.4% extract-alt [13] 0.5% map-enodes [21] 0.6% for-loop [37] 1.4% loop! [51] 2.7% map [58] 3.7% loop [69] 90.4% [69] 15932(74.3%) 202(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 90.4% ??? [73] 4.1% loop! [51] 1.4% foldl [75] 1.4% simplify [3] 0.5% ??? [61] 0.2% ??? [80] 0.1% real->bigfloat [79] 0.0% ->flonum [74] 0.0% --------------------------------------------------------------------- simplify [65] 10.6% f6 [70] 10.6% hash-ref! [64] 33.2% approximate9 [52] 45.5% [70] 626(2.9%) 200(0.9%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [58] 68.1% f6 [70] 10.6% taylor-invert [4] 10.6% --------------------------------------------------------------------- simplify [65] 100.0% [71] 218(1.0%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [76] 100.0% --------------------------------------------------------------------- ??? [67] 100.0% [72] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [77] 100.0% --------------------------------------------------------------------- map [58] 1.6% loop [69] 98.4% [73] 14442(67.3%) 1164(5.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 69.8% real->bigfloat [79] 14.0% ??? [86] 8.2% --------------------------------------------------------------------- loop [69] 100.0% [74] 258(1.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [87] 100.0% --------------------------------------------------------------------- loop [69] 100.0% [75] 218(1.0%) 218(1.0%) foldl ...et/collects/racket/private/list.rkt:229:4 --------------------------------------------------------------------- debug7 [71] 100.0% [76] 218(1.0%) 218(1.0%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 --------------------------------------------------------------------- for-loop [72] 100.0% [77] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [64] 100.0% --------------------------------------------------------------------- ??? [73] 100.0% [78] 10082(47.0%) 460(2.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [80] 93.2% ...higher-order.rkt:373:33 [81] 2.2% --------------------------------------------------------------------- loop [69] 9.3% ??? [73] 90.7% [79] 2226(10.4%) 1360(6.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [85] 38.9% --------------------------------------------------------------------- loop [69] 2.1% ??? [78] 97.9% [80] 9594(44.7%) 3634(16.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [82] 25.2% ??? [87] 23.2% bfneg [83] 13.7% --------------------------------------------------------------------- ??? [78] 100.0% [81] 226(1.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [84] 100.0% --------------------------------------------------------------------- ??? [80] 100.0% [82] 2422(11.3%) 1762(8.2%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [85] 27.3% --------------------------------------------------------------------- ??? [80] 100.0% [83] 1314(6.1%) 686(3.2%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [85] 47.8% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [81]100.0% [84] 226(1.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [86] 100.0% --------------------------------------------------------------------- bfneg [83] 29.2% bfdiv [82] 30.6% real->bigfloat [79] 40.2% [85] 2154(10.0%) 2154(10.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [84] 16.1% ??? [73] 83.9% [86] 1404(6.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [87] 100.0% --------------------------------------------------------------------- ->flonum [74] 6.6% ??? [86] 36.1% ??? [80] 57.2% [87] 3886(18.1%) 938(4.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [88] 75.9% --------------------------------------------------------------------- ??? [87] 100.0% [88] 2948(13.7%) 686(3.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [89] 76.7% --------------------------------------------------------------------- ??? [88] 100.0% [89] 2262(10.5%) 2262(10.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------