Profiling results ----------------- Total cpu time observed: 331864ms (out of 335720ms) Number of samples taken: 1869 (once every 178ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 94 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [5] 100.0% [1] 329214(99.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% ------------------------------------------------------------------------ location-do [43] 100.0% [2] 222(0.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [4] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 100.0% [3] 329214(99.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [5] 100.0% ------------------------------------------------------------------------ approximate9 [2] 100.0% [4] 222(0.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [33] 100.0% ------------------------------------------------------------------------ for-loop [25] 0.1% run [3] 49.7% [5] 331070(99.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.7% loop [7] 49.7% run-improve58 [6] 0.6% simplify [35] 0.1% ------------------------------------------------------------------------ ??? [5] 100.0% [6] 3702(1.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 72.8% loop [7] 21.8% get-final-combination [9] 5.4% ------------------------------------------------------------------------ run-improve58 [6] 0.2% ??? [5] 99.8% [7] 328174(98.9%) 112(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [14] 69.5% loop [10] 18.3% make-exacts* [15] 12.1% for-loop [12] 0.1% ------------------------------------------------------------------------ run-improve58 [6] 100.0% [8] 2696(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% ------------------------------------------------------------------------ run-improve58 [6] 100.0% [9] 200(0.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% ------------------------------------------------------------------------ loop [7] 100.0% [10] 60032(18.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [14] 56.2% make-exacts* [15] 37.9% eval-prog [23] 5.8% ------------------------------------------------------------------------ for-loop [8] 100.0% [11] 2696(0.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 37.9% finalize-iter! [17] 30.8% gen-series! [18] 15.7% choose-best-alt! [20] 8.2% localize-error [21] 7.4% ------------------------------------------------------------------------ loop [7] 100.0% [12] 310(0.1%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [19] 100.0% ------------------------------------------------------------------------ get-final-combination [9] 100.0% [13] 200(0.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [28] 100.0% ------------------------------------------------------------------------ loop [10] 12.9% loop [7] 87.1% [14] 261854(78.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 loop [28] 60.1% map [22] 39.9% ------------------------------------------------------------------------ loop [10] 36.5% loop [7] 63.5% [15] 62390(18.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [22] 49.0% loop [28] 47.3% eval-prog [23] 3.7% ------------------------------------------------------------------------ run-iter! [11] 100.0% [16] 1022(0.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% ------------------------------------------------------------------------ run-iter! [11] 100.0% [17] 830(0.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ------------------------------------------------------------------------ run-iter! [11] 100.0% [18] 424(0.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% ------------------------------------------------------------------------ for-loop [12] 100.0% [19] 310(0.1%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-default [27] 100.0% ------------------------------------------------------------------------ run-iter! [11] 100.0% [20] 220(0.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [24] 100.0% ------------------------------------------------------------------------ run-iter! [11] 100.0% [21] 200(0.1%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [33] 100.0% ------------------------------------------------------------------------ f160 [56] 0.1% make-exacts* [15] 22.6% loop [14] 77.3% [22] 135320(40.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [28] 99.2% ??? [71] 0.6% f160 [56] 0.1% ------------------------------------------------------------------------ errors [64] 3.7% make-exacts* [15] 38.0% loop [10] 58.3% [23] 6016(1.8%) 222(0.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [33] 94.4% inductor [32] 1.9% ------------------------------------------------------------------------ choose-best-alt! [20] 21.0% finalize-iter! [17] 79.0% [24] 1050(0.3%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 79.0% atab-pick-alt8 [31] 21.0% ------------------------------------------------------------------------ simplify! [16] 100.0% [25] 1022(0.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [5] 100.0% ------------------------------------------------------------------------ gen-series! [18] 100.0% [26] 424(0.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ------------------------------------------------------------------------ for-loop [19] 100.0% [27] 310(0.1%) 0(0.0%) sample-default ...rc/syntax/distributions.rkt:11:0 ??? [75] 100.0% ------------------------------------------------------------------------ ??? [71] 0.0% extract-alt [13] 0.0% parse-loop12 [47] 0.0% make-exacts* [15] 0.1% loop [14] 0.2% map [22] 1.1% ??? [40] 1.4% loop [28] 97.2% [28] 326932(98.5%) 666(0.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [28] 97.2% hash-ref! [33] 1.4% ??? [71] 1.4% bffmod [76] 0.0% ->flonum [34] 0.0% simplify [35] 0.0% real->bigfloat [74] 0.0% ??? [84] 0.0% ------------------------------------------------------------------------ ??? [24] 100.0% [29] 830(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% ------------------------------------------------------------------------ for-loop [26] 100.0% [30] 424(0.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ------------------------------------------------------------------------ ??? [24] 100.0% [31] 220(0.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [38] 100.0% ------------------------------------------------------------------------ eval-prog [23] 33.3% inductor [32] 66.7% [32] 114(0.0%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [32] 66.7% ??? [84] 33.3% ------------------------------------------------------------------------ loop [4] 1.8% localize-error [21] 3.3% loop [28] 44.8% eval-prog [23] 48.2% [33] 6102(1.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [39] 48.2% ??? [40] 44.8% parse-loop12 [47] 3.3% f160 [56] 1.8% ------------------------------------------------------------------------ loop [28] 100.0% [34] 2500(0.8%) 622(0.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [75] 53.1% ??? [86] 12.0% ??? [44] 10.0% ------------------------------------------------------------------------ loop [28] 16.4% ??? [5] 83.6% [35] 1222(0.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [41] 83.5% iterate-egraph!5 [50] 16.5% ------------------------------------------------------------------------ for-loop [29] 100.0% [36] 830(0.3%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [42] 73.3% override-at-pnts [45] 26.7% ------------------------------------------------------------------------ taylor-alt [30] 100.0% [37] 424(0.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [43] 100.0% ------------------------------------------------------------------------ atab-pick-alt8 [31] 100.0% [38] 220(0.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [46] 100.0% ------------------------------------------------------------------------ hash-ref! [33] 100.0% [39] 5680(1.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [48] 52.2% bfcanonicalize [49] 47.8% ------------------------------------------------------------------------ hash-ref! [33] 100.0% [40] 4658(1.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [28] 100.0% ------------------------------------------------------------------------ simplify [35] 100.0% [41] 1020(0.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [50] 80.2% mk-egraph [53] 19.8% ------------------------------------------------------------------------ atab-add-altn [36] 100.0% [42] 608(0.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 66.4% for-loop [52] 33.6% ------------------------------------------------------------------------ location-do [43] 34.9% for-loop [37] 65.1% [43] 424(0.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 simplify [54] 47.6% location-do [43] 34.9% approximate9 [2] 17.5% ------------------------------------------------------------------------ ->flonum [34] 100.0% [44] 250(0.1%) 118(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [87] 52.8% ------------------------------------------------------------------------ atab-add-altn [36] 100.0% [45] 222(0.1%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [64] 100.0% ------------------------------------------------------------------------ ??? [38] 100.0% [46] 220(0.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [51] 100.0% ------------------------------------------------------------------------ hash-ref! [33] 100.0% [47] 200(0.1%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [28] 100.0% ------------------------------------------------------------------------ bigfloat-hash [39] 100.0% [48] 2966(0.9%) 2966(0.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ------------------------------------------------------------------------ bigfloat-hash [39] 100.0% [49] 2714(0.8%) 2714(0.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ------------------------------------------------------------------------ simplify [35] 19.8% simplify-expr [41] 80.2% [50] 1020(0.3%) 200(0.1%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [55] 80.4% ------------------------------------------------------------------------ best-alt [46] 100.0% [51] 220(0.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [58] 100.0% ------------------------------------------------------------------------ best-and-tied-at-points [42] 100.0% [52] 204(0.1%) 204(0.1%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------ simplify-expr [41] 100.0% [53] 202(0.1%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [57] 100.0% ------------------------------------------------------------------------ location-do [43] 100.0% [54] 202(0.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f160 [56] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [50] 100.0% [55] 820(0.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [59] 49.0% loop [61] 26.6% loop [63] 24.4% ------------------------------------------------------------------------ composed [58] 15.9% map [22] 15.9% simplify [54] 15.9% f160 [56] 26.2% hash-ref! [33] 26.2% [56] 424(0.1%) 0(0.0%) f160 .../collects/racket/match/compiler.rkt:499:40 f160 [56] 26.2% taylor [60] 26.2% map [22] 15.9% composed [58] 15.9% append-map [62] 15.9% ------------------------------------------------------------------------ mk-egraph [53] 100.0% [57] 202(0.1%) 202(0.1%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 ------------------------------------------------------------------------ f160 [56] 47.9% loop [51] 52.1% [58] 422(0.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [64] 52.1% f160 [56] 47.9% ------------------------------------------------------------------------ for-loop [59] 50.0% one-iter [55] 50.0% [59] 402(0.1%) 202(0.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [59] 50.0% match-e [67] 24.9% ------------------------------------------------------------------------ f160 [56] 100.0% [60] 222(0.1%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [65] 100.0% ------------------------------------------------------------------------ one-iter [55] 100.0% [61] 218(0.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [66] 100.0% ------------------------------------------------------------------------ f160 [56] 100.0% [62] 202(0.1%) 202(0.1%) append-map ...acket/collects/racket/list.rkt:565:2 ------------------------------------------------------------------------ one-iter [55] 100.0% [63] 200(0.1%) 200(0.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------ composed [58] 26.0% override-at-pnts [45] 26.2% best-and-tied-at-points [42] 47.8% [64] 846(0.3%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [68] 73.8% eval-prog [23] 26.2% ------------------------------------------------------------------------ taylor [60] 100.0% [65] 222(0.1%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [69] 100.0% ------------------------------------------------------------------------ loop [61] 100.0% [66] 218(0.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 reduce-to-single! [70] 100.0% ------------------------------------------------------------------------ for-loop [59] 100.0% [67] 200(0.1%) 200(0.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 ------------------------------------------------------------------------ errors [64] 100.0% [68] 624(0.2%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [71] 64.7% ulp-difference [72] 35.3% ------------------------------------------------------------------------ debug7 [65] 100.0% [69] 222(0.1%) 222(0.1%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ------------------------------------------------------------------------ apply-match [66] 100.0% [70] 218(0.1%) 218(0.1%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ------------------------------------------------------------------------ for-loop [68] 0.1% map [22] 0.3% loop [28] 99.6% [71] 320492(96.6%) 4060(1.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [73] 88.2% real->bigfloat [74] 6.6% loop [28] 2.5% ??? [84] 1.2% ------------------------------------------------------------------------ for-loop [68] 100.0% [72] 220(0.1%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [75] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [73] 282592(85.2%) 762(0.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [80] 91.1% bffmod [76] 5.2% bf* [78] 2.5% ...ow-val-first.rkt:357:18 [79] 0.5% ...higher-order.rkt:373:33 [77] 0.4% ------------------------------------------------------------------------ loop [28] 23.9% ??? [71] 76.1% [74] 27814(8.4%) 23568(7.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [87] 15.3% ------------------------------------------------------------------------ ulp-difference [72] 11.8% sample-default [27] 16.7% ->flonum [34] 71.5% [75] 1858(0.6%) 1858(0.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ loop [28] 1.3% ??? [73] 98.7% [76] 14876(4.5%) 340(0.1%) bffmod ...tlock/herbie/src/syntax/syntax.rkt:128:0 ??? [80] 50.6% bf* [78] 26.4% ...ow-val-first.rkt:357:18 [79] 20.8% ------------------------------------------------------------------------ ??? [73] 100.0% [77] 1060(0.3%) 240(0.1%) ...higher-order.rkt:373:33 (unknown source) ??? [81] 77.4% ------------------------------------------------------------------------ bffmod [76] 35.8% ??? [73] 64.2% [78] 10948(3.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [80] 100.0% ------------------------------------------------------------------------ ??? [73] 33.3% bffmod [76] 66.7% [79] 4636(1.4%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [81] 77.4% ??? [84] 22.6% ------------------------------------------------------------------------ bffmod [76] 2.7% bf* [78] 4.0% ??? [73] 93.3% [80] 275994(83.2%) 234268(70.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [82] 6.7% bflog1p [83] 5.0% ??? [86] 2.7% bffloor [85] 0.8% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [77] 18.6% ...ow-val-first.rkt:357:18 [79] 81.4% [81] 4408(1.3%) 120(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [84] 97.3% ------------------------------------------------------------------------ ??? [80] 100.0% [82] 18392(5.5%) 13664(4.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [87] 25.7% ------------------------------------------------------------------------ ??? [80] 100.0% [83] 13800(4.2%) 10054(3.0%) bflog1p ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [87] 27.1% ------------------------------------------------------------------------ inductor [32] 1.1% loop [28] 8.4% ...ow-val-first.rkt:357:18 [79] 10.2% ??? [71] 38.5% ??? [81] 41.8% [84] 10260(3.1%) 692(0.2%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [86] 93.3% ------------------------------------------------------------------------ ??? [80] 100.0% [85] 2206(0.7%) 1236(0.4%) bffloor ...ib/math/private/bigfloat/mpfr.rkt:714:4 ??? [87] 44.0% ------------------------------------------------------------------------ ->flonum [34] 1.7% ??? [80] 42.6% ??? [84] 55.6% [86] 17196(5.2%) 10420(3.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [88] 38.0% ??? [89] 1.4% ------------------------------------------------------------------------ ??? [44] 1.0% bffloor [85] 7.0% bflog1p [83] 27.1% real->bigfloat [74] 30.7% bfmul [82] 34.2% [87] 13822(4.2%) 13822(4.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [86] 100.0% [88] 6538(2.0%) 4692(1.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [90] 28.2% ------------------------------------------------------------------------ ??? [86] 100.0% [89] 238(0.1%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [91] 100.0% ------------------------------------------------------------------------ ??? [88] 100.0% [90] 1846(0.6%) 1846(0.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------ ??? [89] 100.0% [91] 238(0.1%) 238(0.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ------------------------------------------------------------------------