Profiling results ----------------- Total cpu time observed: 53786ms (out of 54676ms) Number of samples taken: 211 (once every 255ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 95 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [33] 100.0% [1] 52866(98.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% --------------------------------------------------------------------- ??? [33] 100.0% [2] 8972(16.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 64.1% loop [7] 35.9% --------------------------------------------------------------------- hash-ref! [72] 100.0% [3] 6454(12.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [34] 100.0% --------------------------------------------------------------------- ??? [33] 100.0% [4] 4336(8.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 76.4% for-loop [10] 19.0% iterate-egraph!5 [14] 4.7% --------------------------------------------------------------------- location-do [53] 100.0% [5] 400(0.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [11] 50.0% f6 [85] 50.0% --------------------------------------------------------------------- profile-thunk14 [1] 99.2% [6] 53308(99.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% --------------------------------------------------------------------- run-improve58 [2] 6.7% ??? [33] 93.3% [7] 47780(88.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [12] 57.5% make-exacts* [17] 31.0% loop [18] 10.6% for-loop [15] 0.9% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 5754(10.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% --------------------------------------------------------------------- simplify [4] 100.0% [9] 3312(6.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 94.0% loop [16] 6.0% --------------------------------------------------------------------- simplify [4] 100.0% [10] 822(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% --------------------------------------------------------------------- approximate9 [5] 100.0% [11] 200(0.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [72] 100.0% --------------------------------------------------------------------- loop [7] 100.0% [12] 27494(51.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [17] 41.9% loop [18] 34.6% eval-prog [67] 23.5% --------------------------------------------------------------------- for-loop [8] 100.0% [13] 5754(10.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 75.4% finalize-iter! [21] 10.8% gen-series! [22] 10.4% localize-error [25] 3.4% --------------------------------------------------------------------- simplify [4] 4.9% for-loop [10] 19.9% simplify-expr [9] 75.2% [14] 4136(7.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% --------------------------------------------------------------------- loop [7] 100.0% [15] 442(0.8%) 224(0.4%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [23] 49.3% --------------------------------------------------------------------- simplify-expr [9] 100.0% [16] 200(0.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [24] 100.0% --------------------------------------------------------------------- loop [12] 43.8% loop [7] 56.2% [17] 26310(48.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [26] 43.4% loop [34] 42.6% eval-prog [67] 14.0% --------------------------------------------------------------------- loop [7] 34.6% loop [12] 65.4% [18] 14574(27.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [26] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [19] 4336(8.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [20] 4136(7.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 64.6% loop [29] 35.4% --------------------------------------------------------------------- run-iter! [13] 100.0% [21] 624(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [30] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [22] 596(1.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% --------------------------------------------------------------------- for-loop [15] 100.0% [23] 218(0.4%) 218(0.4%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 --------------------------------------------------------------------- loop [16] 100.0% [24] 200(0.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 hash-set*+ [32] 100.0% --------------------------------------------------------------------- run-iter! [13] 100.0% [25] 198(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [72] 100.0% --------------------------------------------------------------------- f6 [85] 2.2% make-exacts* [17] 42.9% loop [18] 54.8% [26] 26586(49.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [34] 96.9% ??? [43] 1.1% ->flonum [50] 0.8% f6 [85] 0.6% loop [38] 0.4% --------------------------------------------------------------------- simplify! [19] 100.0% [27] 4336(8.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% --------------------------------------------------------------------- for-loop [28] 50.0% one-iter [20] 50.0% [28] 2670(5.0%) 622(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [40] 38.4% --------------------------------------------------------------------- one-iter [20] 100.0% [29] 1466(2.7%) 202(0.4%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 86.2% --------------------------------------------------------------------- finalize-iter! [21] 100.0% [30] 624(1.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [36] 100.0% --------------------------------------------------------------------- gen-series! [22] 100.0% [31] 596(1.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [37] 100.0% --------------------------------------------------------------------- pass [24] 100.0% [32] 200(0.4%) 200(0.4%) hash-set*+ ...k/herbie/src/core/simplify.rkt:175:0 --------------------------------------------------------------------- for-loop [27] 2.7% run [6] 48.9% [33] 53534(99.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.0% loop [7] 42.0% run-improve58 [2] 7.2% simplify [4] 2.7% --------------------------------------------------------------------- map [26] 0.8% make-exacts* [17] 1.0% ??? [3] 14.8% loop [34] 83.0% [34] 43620(81.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [34] 83.0% hash-ref! [72] 14.8% ??? [39] 1.7% ??? [43] 0.5% ->flonum [50] 0.0% --------------------------------------------------------------------- loop [29] 100.0% [35] 1264(2.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [40] 49.2% for-loop [44] 19.0% merge-egraph-nodes! [45] 16.0% substitute-e [46] 15.8% --------------------------------------------------------------------- ??? [30] 100.0% [36] 624(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [41] 100.0% --------------------------------------------------------------------- for-loop [31] 100.0% [37] 596(1.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% --------------------------------------------------------------------- map [26] 9.1% loop [38] 90.9% [38] 198(0.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [38] 90.9% ??? [47] 9.1% --------------------------------------------------------------------- loop [34] 100.0% [39] 35858(66.7%) 1370(2.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [48] 71.7% real->bigfloat [49] 20.3% ??? [73] 4.2% --------------------------------------------------------------------- for-loop [60] 12.9% apply-match [35] 17.9% for-loop [28] 69.2% [40] 2670(5.0%) 1822(3.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [51] 35.5% for-loop [60] 9.2% --------------------------------------------------------------------- for-loop [36] 100.0% [41] 624(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [52] 100.0% --------------------------------------------------------------------- taylor-alt [37] 100.0% [42] 596(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% --------------------------------------------------------------------- loop [34] 37.3% map [26] 62.7% [43] 398(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f6 [85] 50.3% hash-ref! [72] 49.7% --------------------------------------------------------------------- apply-match [35] 100.0% [44] 240(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [54] 100.0% --------------------------------------------------------------------- apply-match [35] 100.0% [45] 202(0.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [55] 100.0% --------------------------------------------------------------------- apply-match [35] 100.0% [46] 200(0.4%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [56] 100.0% --------------------------------------------------------------------- loop [38] 100.0% [47] 198(0.4%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [50] 100.0% --------------------------------------------------------------------- ??? [39] 100.0% [48] 25716(47.8%) 434(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [66] 54.6% bf* [57] 32.6% ...higher-order.rkt:373:33 [58] 11.0% --------------------------------------------------------------------- ??? [39] 100.0% [49] 7270(13.5%) 6158(11.4%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [79] 15.3% --------------------------------------------------------------------- ??? [47] 13.0% map [26] 14.4% loop [34] 72.6% [50] 1528(2.8%) 648(1.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [59] 44.8% ??? [78] 12.8% --------------------------------------------------------------------- match-e [40] 100.0% [51] 1048(1.9%) 646(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [63] 19.3% for-loop [60] 19.1% --------------------------------------------------------------------- atab-add-altn [41] 100.0% [52] 624(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 67.6% for-loop [64] 32.4% --------------------------------------------------------------------- for-loop [42] 27.6% location-do [53] 72.4% [53] 596(1.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [53] 72.4% simplify [80] 16.4% approximate9 [5] 11.2% --------------------------------------------------------------------- for-loop [44] 100.0% [54] 240(0.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [62] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [55] 202(0.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [65] 100.0% --------------------------------------------------------------------- substitute-e [46] 100.0% [56] 200(0.4%) 200(0.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- ??? [48] 100.0% [57] 8396(15.6%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [66] 100.0% --------------------------------------------------------------------- ??? [48] 100.0% [58] 2834(5.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [68] 100.0% --------------------------------------------------------------------- ->flonum [50] 100.0% [59] 684(1.3%) 684(1.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- for-loop [51] 32.4% match-e [40] 67.6% [60] 618(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [52] 100.0% [61] 422(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [67] 52.1% for-loop [69] 47.9% --------------------------------------------------------------------- loop! [54] 100.0% [62] 240(0.4%) 240(0.4%) custom-set-union ...et/private/set-types.rkt:168:0 --------------------------------------------------------------------- list-cartesian-product [63] 50.0% for-loop [51] 50.0% [63] 202(0.4%) 202(0.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [63] 50.0% --------------------------------------------------------------------- best-and-tied-at-points [52] 100.0% [64] 202(0.4%) 202(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- update-leader! [55] 100.0% [65] 202(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [70] 100.0% --------------------------------------------------------------------- bf* [57] 37.4% ??? [48] 62.6% [66] 22448(41.7%) 3676(6.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [71] 50.4% bfsqrt [74] 17.7% ??? [78] 15.5% --------------------------------------------------------------------- errors [61] 2.1% make-exacts* [17] 35.6% loop [12] 62.2% [67] 10370(19.3%) 878(1.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [72] 89.4% inductor [75] 2.1% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [58]100.0% [68] 2834(5.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [73] 100.0% --------------------------------------------------------------------- errors [61] 100.0% [69] 202(0.4%) 202(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 --------------------------------------------------------------------- for-loop [65] 100.0% [70] 202(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [76] 100.0% --------------------------------------------------------------------- ??? [66] 100.0% [71] 11318(21.0%) 7174(13.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [79] 36.6% --------------------------------------------------------------------- localize-error [25] 0.4% ??? [43] 1.6% loop [11] 2.1% loop [34] 43.1% eval-prog [67] 52.8% [72] 9670(18.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [77] 52.8% ??? [3] 43.1% simplify [80] 2.1% f6 [85] 0.8% --------------------------------------------------------------------- ??? [39] 34.6% ??? [68] 65.4% [73] 4336(8.1%) 196(0.4%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [78] 95.5% --------------------------------------------------------------------- ??? [66] 100.0% [74] 3984(7.4%) 3752(7.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [79] 5.8% --------------------------------------------------------------------- eval-prog [67] 16.7% inductor [75] 83.3% [75] 220(0.4%) 220(0.4%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [75] 83.3% --------------------------------------------------------------------- for-loop [70] 100.0% [76] 202(0.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [81] 100.0% --------------------------------------------------------------------- hash-ref! [72] 100.0% [77] 9272(17.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [82] 54.8% sig+exp->bigfloat [84] 45.2% --------------------------------------------------------------------- ->flonum [50] 2.5% ??? [66] 44.5% ??? [73] 53.0% [78] 7806(14.5%) 3062(5.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [83] 58.1% ??? [86] 2.7% --------------------------------------------------------------------- bfsqrt [74] 4.2% real->bigfloat [49] 20.3% bfmul [71] 75.5% [79] 5488(10.2%) 5488(10.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- location-do [53] 49.5% hash-ref! [72] 50.5% [80] 396(0.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [88] 50.5% f6 [85] 49.5% --------------------------------------------------------------------- hash-update! [76] 100.0% [81] 202(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [87] 100.0% --------------------------------------------------------------------- bigfloat-hash [77] 100.0% [82] 5080(9.4%) 4850(9.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [90] 4.5% --------------------------------------------------------------------- ??? [78] 100.0% [83] 4534(8.4%) 2596(4.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [89] 42.7% --------------------------------------------------------------------- bigfloat-hash [77] 100.0% [84] 4192(7.8%) 4192(7.8%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- simplify [80] 6.6% ??? [43] 16.8% approximate9 [5] 16.8% map [26] 26.4% hash-ref! [72] 33.3% [85] 594(1.1%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [26] 83.2% taylor-invert [91] 16.8% --------------------------------------------------------------------- ??? [78] 100.0% [86] 210(0.4%) 210(0.4%) ??? ...ects/racket/contract/private/prop.rkt:489:4 --------------------------------------------------------------------- ??? [81] 100.0% [87] 202(0.4%) 202(0.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- simplify [80] 100.0% [88] 200(0.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [92] 100.0% --------------------------------------------------------------------- ??? [83] 100.0% [89] 1938(3.6%) 1938(3.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------- bfcanonicalize [82] 100.0% [90] 230(0.4%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [93] 100.0% --------------------------------------------------------------------- f6 [85] 100.0% [91] 200(0.4%) 200(0.4%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 --------------------------------------------------------------------- debug-print [88] 100.0% [92] 200(0.4%) 200(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- bigfloat->sig+exp [90] 100.0% [93] 230(0.4%) 230(0.4%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ---------------------------------------------------------------------