Profiling results ----------------- Total cpu time observed: 31232ms (out of 31780ms) Number of samples taken: 134 (once every 233ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 101 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [30] 100.0% [1] 30776(98.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ----------------------------------------------------------------------- ??? [30] 100.0% [2] 7924(25.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 83.1% get-final-combination [9] 7.6% loop [33] 6.3% setup-prog [12] 3.0% ----------------------------------------------------------------------- simplify-alt [17] 4.8% loop [55] 8.1% ??? [30] 87.2% [3] 4954(15.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 53.6% iterate-egraph!5 [14] 25.1% for-loop [8] 16.6% loop [11] 4.8% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [4] 422(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [10] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.5% [5] 31232(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 6588(21.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [7] 2656(8.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [8] 820(2.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 602(1.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [10] 422(1.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [56] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 236(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [16] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 236(0.8%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [17] 100.0% ----------------------------------------------------------------------- for-loop [6] 100.0% [13] 6588(21.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 65.5% gen-series! [20] 19.1% finalize-iter! [21] 12.1% choose-best-alt! [24] 3.3% ----------------------------------------------------------------------- for-loop [8] 17.4% simplify [3] 26.3% simplify-expr [7] 56.3% [14] 4718(15.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 91.6% map-enodes [22] 8.4% ----------------------------------------------------------------------- get-final-combination [9] 100.0% [15] 602(1.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [55] 66.4% loop [81] 33.6% ----------------------------------------------------------------------- loop [11] 100.0% [16] 236(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [23] 100.0% ----------------------------------------------------------------------- setup-prog [12] 100.0% [17] 236(0.8%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 4320(13.8%) 420(1.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 66.7% loop [28] 23.6% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 4318(13.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [20] 1258(4.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [21] 794(2.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [73] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [22] 398(1.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [55] 100.0% ----------------------------------------------------------------------- pass [16] 100.0% [23] 236(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [24] 218(0.7%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [73] 100.0% ----------------------------------------------------------------------- simplify! [19] 100.0% [25] 4318(13.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ----------------------------------------------------------------------- for-loop [26] 50.0% one-iter [18] 50.0% [26] 2882(9.2%) 1040(3.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [34] 32.0% ----------------------------------------------------------------------- gen-series! [20] 100.0% [27] 1258(4.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ----------------------------------------------------------------------- one-iter [18] 100.0% [28] 1018(3.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% ----------------------------------------------------------------------- for-loop [23] 100.0% [29] 236(0.8%) 236(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- for-loop [25] 4.6% run [5] 48.4% [30] 31232(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.0% loop [33] 37.7% run-improve58 [2] 10.8% simplify [3] 4.6% ----------------------------------------------------------------------- for-loop [27] 100.0% [31] 1258(4.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% ----------------------------------------------------------------------- loop [28] 100.0% [32] 1018(3.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [34] 39.5% for-loop [36] 21.4% substitute-e [37] 19.6% mk-enode! [41] 19.4% ----------------------------------------------------------------------- run-improve58 [2] 2.1% ??? [30] 97.9% [33] 23806(76.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [43] 56.6% loop [38] 41.3% loop [44] 2.1% ----------------------------------------------------------------------- for-loop [46] 9.0% apply-match [32] 13.4% for-loop [26] 77.6% [34] 2244(7.2%) 1442(4.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [40] 26.8% loop [55] 8.9% for-loop [46] 4.5% ----------------------------------------------------------------------- taylor-alt [31] 100.0% [35] 1258(4.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [39] 100.0% ----------------------------------------------------------------------- apply-match [32] 100.0% [36] 218(0.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [42] 100.0% ----------------------------------------------------------------------- apply-match [32] 100.0% [37] 200(0.6%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [41] 100.0% ----------------------------------------------------------------------- loop [33] 100.0% [38] 9822(31.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [44] 63.3% make-exacts* [43] 36.7% ----------------------------------------------------------------------- location-do [39] 33.4% for-loop [35] 66.6% [39] 1258(4.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [45] 66.6% location-do [39] 33.4% ----------------------------------------------------------------------- match-e [34] 100.0% [40] 602(1.9%) 200(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 curry* [49] 33.2% for-loop [46] 16.8% list-cartesian-product [48] 16.8% ----------------------------------------------------------------------- apply-match [32] 49.7% substitute-e [37] 50.3% [41] 398(1.3%) 398(1.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- for-loop [36] 100.0% [42] 218(0.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [47] 100.0% ----------------------------------------------------------------------- loop [38] 21.1% loop [33] 78.9% [43] 17088(54.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [50] 56.0% loop [55] 44.0% ----------------------------------------------------------------------- loop [33] 7.4% loop [38] 92.6% [44] 6718(21.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [50] 100.0% ----------------------------------------------------------------------- location-do [39] 100.0% [45] 1258(4.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [51] 50.9% f94 [68] 49.1% ----------------------------------------------------------------------- match-e [34] 49.8% for-loop [40] 50.2% [46] 402(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [42] 100.0% [47] 218(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [52] 100.0% ----------------------------------------------------------------------- for-loop [40] 100.0% [48] 202(0.6%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [53] 100.0% ----------------------------------------------------------------------- for-loop [40] 100.0% [49] 200(0.6%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [54] 100.0% ----------------------------------------------------------------------- loop [44] 41.3% make-exacts* [43] 58.7% [50] 16280(52.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [55] 98.6% ??? [86] 1.4% ----------------------------------------------------------------------- approximate9 [45] 100.0% [51] 640(2.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [56] 100.0% ----------------------------------------------------------------------- for-loop [47] 100.0% [52] 218(0.7%) 218(0.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- list-cartesian-product [48] 100.0% [53] 202(0.6%) 202(0.6%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- curry* [49] 100.0% [54] 200(0.6%) 200(0.6%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------- make-exacts* [43] 0.1% map-enodes [22] 0.4% match-e [34] 0.4% map [50] 1.0% extract-alt [15] 1.2% loop [55] 97.0% [55] 24584(78.7%) 200(0.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [55] 97.0% simplify [3] 1.2% ??? [86] 1.0% for-loop [60] 0.4% ->flonum [57] 0.0% ----------------------------------------------------------------------- for-loop [10] 16.5% ??? [59] 16.5% loop [51] 27.8% ??? [58] 39.2% [56] 640(2.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [58] 39.2% ??? [59] 16.5% ??? [4] 16.5% taylor-quotient [62] 11.4% ??? [61] 8.6% ??? [63] 7.9% ----------------------------------------------------------------------- loop [55] 100.0% [57] 704(2.3%) 234(0.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [90] 33.8% ??? [95] 33.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [58] 640(2.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [56] 100.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [59] 422(1.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [56] 100.0% ----------------------------------------------------------------------- loop [55] 100.0% [60] 398(1.3%) 200(0.6%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [66] 49.7% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [61] 220(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [64] 100.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [62] 218(0.7%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [67] 100.0% ----------------------------------------------------------------------- hash-ref! [56] 100.0% [63] 202(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [65] 100.0% ----------------------------------------------------------------------- ??? [61] 100.0% [64] 220(0.7%) 220(0.7%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ----------------------------------------------------------------------- ??? [63] 100.0% [65] 202(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [67] 100.0% ----------------------------------------------------------------------- for-loop [60] 100.0% [66] 198(0.6%) 198(0.6%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------- for-loop [65] 48.1% taylor-quotient [62] 51.9% [67] 420(1.3%) 218(0.7%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [68] 48.1% ----------------------------------------------------------------------- simplify [67] 24.6% f94 [68] 32.5% approximate9 [45] 42.8% [68] 820(2.6%) 218(0.7%) f94 ...t/collects/racket/match/compiler.rkt:499:40 f94 [68] 32.5% make-keyword-procedure [70] 24.6% taylor [69] 16.3% ----------------------------------------------------------------------- f94 [68] 100.0% [69] 400(1.3%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [71] 50.0% debug7 [72] 50.0% ----------------------------------------------------------------------- f94 [68] 100.0% [70] 202(0.6%) 202(0.6%) make-keyword-procedure ...ket/private/kw.rkt:216:4 ----------------------------------------------------------------------- taylor [69] 100.0% [71] 200(0.6%) 200(0.6%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- taylor [69] 100.0% [72] 200(0.6%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [73] 100.0% ----------------------------------------------------------------------- debug7 [72] 16.5% choose-best-alt! [24] 18.0% finalize-iter! [21] 65.5% [73] 1212(3.9%) 200(0.6%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [74] 65.5% atab-pick-alt8 [75] 18.0% ----------------------------------------------------------------------- ??? [73] 100.0% [74] 794(2.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [76] 100.0% ----------------------------------------------------------------------- ??? [73] 100.0% [75] 218(0.7%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [77] 100.0% ----------------------------------------------------------------------- for-loop [74] 100.0% [76] 794(2.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 override-at-pnts [78] 50.4% best-and-tied-at-points [79] 49.6% ----------------------------------------------------------------------- atab-pick-alt8 [75] 100.0% [77] 218(0.7%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [80] 100.0% ----------------------------------------------------------------------- atab-add-altn [76] 100.0% [78] 400(1.3%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [84] 100.0% ----------------------------------------------------------------------- atab-add-altn [76] 100.0% [79] 394(1.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [84] 50.3% for-loop [82] 49.7% ----------------------------------------------------------------------- ??? [77] 100.0% [80] 218(0.7%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [81] 100.0% ----------------------------------------------------------------------- extract-alt [15] 48.1% best-alt [80] 51.9% [81] 420(1.3%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [83] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [79] 100.0% [82] 196(0.6%) 196(0.6%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- loop [81] 100.0% [83] 420(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [84] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [79] 19.4% override-at-pnts [78] 39.3% composed [83] 41.3% [84] 1018(3.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [85] 100.0% ----------------------------------------------------------------------- errors [84] 100.0% [85] 1018(3.3%) 218(0.7%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [86] 78.6% ----------------------------------------------------------------------- map [50] 0.9% for-loop [85] 3.3% loop [55] 95.7% [86] 23902(76.5%) 436(1.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [87] 87.4% real->bigfloat [88] 7.9% ??? [94] 0.9% ----------------------------------------------------------------------- ??? [86] 100.0% [87] 20902(66.9%) 1102(3.5%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [89] 92.6% ...higher-order.rkt:373:33 [91] 1.1% ??? [90] 1.0% ----------------------------------------------------------------------- ??? [86] 100.0% [88] 1896(6.1%) 1656(5.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 12.7% ----------------------------------------------------------------------- ??? [87] 100.0% [89] 19358(62.0%) 15126(48.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [92] 10.9% bfsin [93] 6.0% ??? [95] 5.0% ----------------------------------------------------------------------- ??? [87] 45.9% ->flonum [57] 54.1% [90] 440(1.4%) 440(1.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [87] 100.0% [91] 240(0.8%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [92] 2104(6.7%) 1650(5.3%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 21.6% ----------------------------------------------------------------------- ??? [89] 100.0% [93] 1166(3.7%) 432(1.4%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 63.0% ----------------------------------------------------------------------- ??? [86] 47.4% ...higher-order.rkt:373:33 [91] 52.6% [94] 456(1.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ----------------------------------------------------------------------- ->flonum [57] 14.1% ??? [94] 27.6% ??? [89] 58.3% [95] 1650(5.3%) 472(1.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 43.8% ??? [98] 27.6% ----------------------------------------------------------------------- real->bigfloat [88] 16.8% bfdiv [92] 31.8% bfsin [93] 51.4% [96] 1428(4.6%) 1428(4.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [95] 100.0% [97] 722(2.3%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [99] 100.0% ----------------------------------------------------------------------- ??? [95] 100.0% [98] 456(1.5%) 456(1.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 ----------------------------------------------------------------------- ??? [97] 100.0% [99] 722(2.3%) 722(2.3%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -----------------------------------------------------------------------