Profiling results ----------------- Total cpu time observed: 12948ms (out of 13412ms) Number of samples taken: 58 (once every 223ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [39] 100.0% [1] 12748(98.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% ---------------------------------------------------------------------- ??? [39] 100.0% [2] 6496(50.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 67.5% finalize-table! [12] 29.1% get-final-combination [14] 3.4% ---------------------------------------------------------------------- loop [80] 6.3% ??? [39] 93.7% [3] 3524(27.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [11] 71.1% for-loop [13] 28.9% ---------------------------------------------------------------------- loop [80] 100.0% [4] 1268(9.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [11] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [5] 220(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [17] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [6] 220(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [16] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [7] 220(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ---------------------------------------------------------------------- f6 [64] 100.0% [8] 202(1.6%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [21] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [9] 12748(98.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 4384(33.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [4] 33.6% simplify [3] 66.4% [11] 3772(29.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 94.7% loop [24] 5.3% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 1890(14.6%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [20] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [13] 1020(7.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 80.4% debug-print [23] 19.6% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 222(1.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [15] 220(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [74] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [16] 220(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [74] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [17] 220(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 simplify [21] 100.0% ---------------------------------------------------------------------- for-loop [13] 18.7% simplify-expr [11] 81.3% [18] 4392(33.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [25] 100.0% ---------------------------------------------------------------------- for-loop [10] 100.0% [19] 4384(33.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [26] 75.3% gen-series! [28] 9.6% finalize-iter! [29] 9.6% localize-error [30] 5.5% ---------------------------------------------------------------------- finalize-table! [12] 100.0% [20] 1890(14.6%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [80] 67.1% for-loop [27] 32.9% ---------------------------------------------------------------------- taylor-invert [73] 32.2% taylor-quotient [8] 32.5% for-loop [17] 35.4% [21] 622(4.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [76] 64.6% f6 [64] 35.4% ---------------------------------------------------------------------- get-final-combination [14] 100.0% [22] 222(1.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% ---------------------------------------------------------------------- for-loop [13] 100.0% [23] 200(1.5%) 200(1.5%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- simplify-expr [11] 100.0% [24] 200(1.5%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [31] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [25] 4392(33.9%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 70.6% loop [34] 29.4% ---------------------------------------------------------------------- run-iter! [19] 100.0% [26] 3302(25.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [32] 100.0% ---------------------------------------------------------------------- post-process [20] 100.0% [27] 622(4.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [35] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [28] 422(3.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [36] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [29] 420(3.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [37] 100.0% ---------------------------------------------------------------------- run-iter! [19] 100.0% [30] 240(1.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [74] 100.0% ---------------------------------------------------------------------- loop [24] 100.0% [31] 200(1.5%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [38] 100.0% ---------------------------------------------------------------------- simplify! [26] 100.0% [32] 3302(25.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 100.0% ---------------------------------------------------------------------- for-loop [33] 50.0% one-iter [25] 50.0% [33] 3100(23.9%) 420(3.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 50.0% match-e [46] 43.2% ---------------------------------------------------------------------- one-iter [25] 100.0% [34] 1292(10.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% ---------------------------------------------------------------------- for-loop [27] 100.0% [35] 622(4.8%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [41] 100.0% ---------------------------------------------------------------------- gen-series! [28] 100.0% [36] 422(3.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [41] 100.0% ---------------------------------------------------------------------- finalize-iter! [29] 100.0% [37] 420(3.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [42] 52.4% atab-add-altns [44] 47.6% ---------------------------------------------------------------------- pass [31] 100.0% [38] 200(1.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 make-sequence [43] 100.0% ---------------------------------------------------------------------- for-loop [32] 8.8% run [9] 45.2% [39] 12948(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.2% loop [45] 24.9% run-improve58 [2] 21.1% simplify [3] 8.8% ---------------------------------------------------------------------- loop [34] 100.0% [40] 1292(10.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [46] 35.0% mk-enode! [53] 32.5% substitute-e [49] 17.2% loop! [85] 15.3% ---------------------------------------------------------------------- for-loop [36] 40.4% append-map [35] 59.6% [41] 1044(8.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [47] 100.0% ---------------------------------------------------------------------- ??? [37] 100.0% [42] 220(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [48] 100.0% ---------------------------------------------------------------------- for-loop [38] 100.0% [43] 200(1.5%) 200(1.5%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- ??? [37] 100.0% [44] 200(1.5%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [48] 100.0% ---------------------------------------------------------------------- ??? [39] 100.0% [45] 6452(49.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [55] 56.1% loop [50] 43.9% ---------------------------------------------------------------------- apply-match [40] 10.9% for-loop [57] 13.2% for-loop [33] 75.9% [46] 3132(24.2%) 1016(7.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [51] 41.1% for-loop [57] 20.1% list-cartesian-product [59] 6.3% loop [80] 3.2% ---------------------------------------------------------------------- taylor-alt [41] 100.0% [47] 1044(8.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [52] 100.0% ---------------------------------------------------------------------- atab-add-altns [44] 47.6% for-loop [42] 52.4% [48] 420(3.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [54] 100.0% ---------------------------------------------------------------------- apply-match [40] 100.0% [49] 222(1.7%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [53] 100.0% ---------------------------------------------------------------------- loop [45] 100.0% [50] 2832(21.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [56] 59.5% make-exacts* [55] 40.5% ---------------------------------------------------------------------- match-e [46] 100.0% [51] 1498(11.6%) 644(5.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 foldl [60] 15.4% loop [80] 14.8% for-loop [57] 13.5% list-cartesian-product [59] 13.4% ---------------------------------------------------------------------- location-do [52] 29.8% for-loop [47] 70.2% [52] 1044(8.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [58] 70.2% location-do [52] 29.8% ---------------------------------------------------------------------- substitute-e [49] 34.6% apply-match [40] 65.4% [53] 642(5.0%) 442(3.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [62] 31.2% ---------------------------------------------------------------------- atab-add-altn [48] 100.0% [54] 420(3.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 52.4% for-loop [63] 47.6% ---------------------------------------------------------------------- loop [50] 24.1% loop [45] 75.9% [55] 4768(36.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [69] 54.8% loop [80] 45.2% ---------------------------------------------------------------------- loop [50] 100.0% [56] 1684(13.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [69] 100.0% ---------------------------------------------------------------------- for-loop [51] 16.2% match-e [46] 83.8% [57] 1246(9.6%) 202(1.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [46] 66.3% ??? [68] 17.5% ---------------------------------------------------------------------- location-do [52] 100.0% [58] 1044(8.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [65] 61.5% f6 [64] 38.5% ---------------------------------------------------------------------- list-cartesian-product [59] 25.1% for-loop [51] 25.1% match-e [46] 49.7% [59] 398(3.1%) 398(3.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [59] 25.1% ---------------------------------------------------------------------- for-loop [51] 100.0% [60] 230(1.8%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [66] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [54] 100.0% [61] 220(1.7%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [67] 100.0% ---------------------------------------------------------------------- mk-enode! [53] 100.0% [62] 200(1.5%) 200(1.5%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- best-and-tied-at-points [54] 100.0% [63] 200(1.5%) 200(1.5%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- approximate9 [58] 15.8% simplify [21] 20.7% f6 [64] 31.5% hash-ref! [74] 32.0% [64] 1064(8.2%) 220(1.7%) f6 ...et/collects/racket/match/compiler.rkt:499:40 f6 [64] 31.5% map [69] 28.8% taylor [70] 9.5% taylor-quotient [8] 9.5% ---------------------------------------------------------------------- approximate9 [58] 100.0% [65] 642(5.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [74] 100.0% ---------------------------------------------------------------------- foldl [60] 100.0% [66] 230(1.8%) 230(1.8%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- errors [61] 100.0% [67] 220(1.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [82] 100.0% ---------------------------------------------------------------------- for-loop [57] 100.0% [68] 218(1.7%) 218(1.7%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 ---------------------------------------------------------------------- f6 [64] 9.3% loop [56] 35.5% make-exacts* [55] 55.2% [69] 4738(36.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 90.7% ??? [71] 5.1% taylor-invert [73] 4.2% ---------------------------------------------------------------------- f6 [64] 100.0% [70] 202(1.6%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [72] 100.0% ---------------------------------------------------------------------- map [69] 33.3% loop [80] 66.7% [71] 240(1.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [74] 100.0% ---------------------------------------------------------------------- taylor [70] 100.0% [72] 202(1.6%) 202(1.6%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ---------------------------------------------------------------------- map [69] 100.0% [73] 200(1.5%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [21] 100.0% ---------------------------------------------------------------------- for-loop [16] 5.0% for-loop [15] 5.0% localize-error [30] 6.8% ??? [77] 13.3% ??? [71] 20.4% ??? [75] 24.8% loop [65] 24.8% [74] 882(6.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [75] 24.8% f6 [64] 18.3% parse-loop12 [76] 13.6% ??? [77] 13.3% ??? [79] 8.3% ??? [78] 6.8% ??? [7] 5.0% ??? [6] 5.0% ??? [5] 5.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [75] 642(5.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [74] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 37.4% simplify [21] 62.6% [76] 642(5.0%) 402(3.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [80] 37.4% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [77] 440(3.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [74] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [78] 240(1.9%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 loop [80] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [79] 220(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [81] 100.0% ---------------------------------------------------------------------- ??? [78] 0.0% make-exacts* [55] 0.1% parse-loop12 [76] 0.1% for-loop [51] 0.4% loop! [85] 0.5% match-e [46] 0.5% map [69] 0.6% extract-alt [22] 2.6% post-process [20] 4.9% loop [80] 90.3% [80] 8380(64.7%) 222(1.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 90.3% completely-simplify-alt [4] 4.9% simplify [3] 2.6% curried [83] 0.5% loop! [85] 0.5% ->flonum [84] 0.4% ??? [82] 0.2% ??? [71] 0.1% real->bigfloat [87] 0.0% ---------------------------------------------------------------------- ??? [79] 100.0% [81] 220(1.7%) 220(1.7%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 ---------------------------------------------------------------------- for-loop [67] 3.4% loop [80] 96.6% [82] 6470(50.0%) 220(1.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [86] 63.0% real->bigfloat [87] 30.1% ??? [94] 3.5% ---------------------------------------------------------------------- loop [80] 100.0% [83] 202(1.6%) 202(1.6%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------- loop [80] 100.0% [84] 202(1.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [88] 100.0% ---------------------------------------------------------------------- loop [80] 50.0% apply-match [40] 50.0% [85] 198(1.5%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [80] 50.0% custom-set-union [89] 50.0% ---------------------------------------------------------------------- ??? [82] 100.0% [86] 4076(31.5%) 220(1.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 84.0% ...higher-order.rkt:373:33 [91] 10.6% ---------------------------------------------------------------------- loop [80] 11.0% ??? [82] 89.0% [87] 2186(16.9%) 1486(11.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 32.0% ---------------------------------------------------------------------- ->flonum [84] 100.0% [88] 202(1.6%) 202(1.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- loop! [85] 100.0% [89] 198(1.5%) 198(1.5%) custom-set-union ...et/private/set-types.rkt:168:0 ---------------------------------------------------------------------- ??? [86] 100.0% [90] 3424(26.4%) 1454(11.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfneg [92] 29.3% bfadd [93] 21.2% ??? [96] 7.1% ---------------------------------------------------------------------- ??? [86] 100.0% [91] 432(3.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [92] 1002(7.7%) 770(5.9%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 23.2% ---------------------------------------------------------------------- ??? [90] 100.0% [93] 726(5.6%) 464(3.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 36.1% ---------------------------------------------------------------------- ??? [82] 34.5% ...higher-order.rkt:373:33 [91] 65.5% [94] 660(5.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ---------------------------------------------------------------------- bfneg [92] 19.4% bfadd [93] 21.9% real->bigfloat [87] 58.6% [95] 1194(9.2%) 1194(9.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [90] 26.8% ??? [94] 73.2% [96] 902(7.0%) 660(5.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 26.8% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 242(1.9%) 242(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 ----------------------------------------------------------------------