Profiling results ----------------- Total cpu time observed: 17462ms (out of 17900ms) Number of samples taken: 67 (once every 261ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [25] 100.0% [1] 17230(98.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% --------------------------------------------------------------------- ??? [25] 100.0% [2] 6124(35.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [6] 68.8% for-loop [7] 20.1% loop [5] 3.9% get-final-combination [9] 3.6% setup-prog [11] 3.6% --------------------------------------------------------------------- location-do [64] 100.0% [3] 934(5.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [8] 76.4% taylor-sqrt [10] 23.6% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [4] 17230(98.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [25] 100.0% --------------------------------------------------------------------- run-improve58 [2] 2.1% ??? [25] 97.9% [5] 11346(65.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [12] 53.7% make-exacts* [16] 46.3% --------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 4214(24.1%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [13] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 1230(7.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% --------------------------------------------------------------------- approximate9 [3] 100.0% [8] 714(4.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [35] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 222(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% --------------------------------------------------------------------- approximate9 [3] 100.0% [10] 220(1.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [39] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 218(1.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 ??? [22] 100.0% --------------------------------------------------------------------- loop [5] 100.0% [12] 6094(34.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [17] 48.5% make-exacts* [16] 35.9% eval-prog [33] 15.6% --------------------------------------------------------------------- finalize-table! [6] 100.0% [13] 4214(24.1%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [46] 52.2% for-loop [18] 22.2% ??? [22] 20.5% localize-error [19] 5.2% --------------------------------------------------------------------- for-loop [7] 100.0% [14] 1230(7.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 49.3% finalize-iter! [21] 34.3% localize-error [19] 16.4% --------------------------------------------------------------------- get-final-combination [9] 100.0% [15] 222(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [46] 100.0% --------------------------------------------------------------------- loop [12] 29.4% loop [5] 70.6% [16] 7440(42.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [44] 61.5% loop [46] 35.3% eval-prog [33] 3.1% --------------------------------------------------------------------- loop [12] 100.0% [17] 2958(16.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [44] 100.0% --------------------------------------------------------------------- post-process [13] 100.0% [18] 934(5.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [23] 100.0% --------------------------------------------------------------------- run-iter! [14] 23.1% post-process [13] 24.9% loop [46] 51.9% [19] 874(5.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [35] 100.0% --------------------------------------------------------------------- run-iter! [14] 100.0% [20] 606(3.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% --------------------------------------------------------------------- run-iter! [14] 100.0% [21] 422(2.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [22] 100.0% --------------------------------------------------------------------- setup-prog [11] 14.5% finalize-iter! [21] 28.1% post-process [13] 57.4% [22] 1502(8.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 72.0% make-alt-table [27] 14.5% atab-add-altns [28] 13.4% --------------------------------------------------------------------- for-loop [18] 100.0% [23] 934(5.3%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [51] 62.7% loop [46] 37.3% --------------------------------------------------------------------- simplify! [20] 100.0% [24] 606(3.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [25] 100.0% --------------------------------------------------------------------- for-loop [24] 1.2% run [4] 49.4% [25] 17230(98.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 49.4% loop [5] 32.2% run-improve58 [2] 17.2% simplify [53] 1.2% --------------------------------------------------------------------- ??? [22] 100.0% [26] 1082(6.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [29] 100.0% --------------------------------------------------------------------- ??? [22] 100.0% [27] 218(1.2%) 0(0.0%) make-alt-table ...rbie/src/core/alt-table.rkt:32:0 errors [31] 100.0% --------------------------------------------------------------------- ??? [22] 100.0% [28] 202(1.2%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [29] 100.0% --------------------------------------------------------------------- atab-add-altns [28] 15.7% for-loop [26] 84.3% [29] 1284(7.4%) 220(1.3%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [30] 82.9% --------------------------------------------------------------------- atab-add-altn [29] 100.0% [30] 1064(6.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [31] 81.0% for-loop [32] 19.0% --------------------------------------------------------------------- make-alt-table [27] 20.2% best-and-tied-at-points [30] 79.8% [31] 1080(6.2%) 218(1.2%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [33] 42.4% for-loop [34] 37.4% --------------------------------------------------------------------- best-and-tied-at-points [30] 100.0% [32] 202(1.2%) 202(1.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- make-exacts* [16] 14.3% errors [31] 27.9% loop [12] 57.8% [33] 1640(9.4%) 698(4.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [35] 57.4% --------------------------------------------------------------------- errors [31] 100.0% [34] 404(2.3%) 404(2.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 --------------------------------------------------------------------- localize-error [19] 8.5% eval-prog [33] 11.7% loop [46] 25.5% ??? [52] 26.1% loop [8] 28.2% [35] 2530(14.5%) 348(2.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [38] 25.5% f6 [40] 18.3% parse-loop12 [36] 16.2% simplify [39] 14.5% bigfloat-hash [37] 11.7% --------------------------------------------------------------------- map [44] 20.1% hash-ref! [35] 79.9% [36] 1094(6.3%) 220(1.3%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [46] 53.2% map [44] 26.7% --------------------------------------------------------------------- hash-ref! [35] 100.0% [37] 942(5.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [41] 73.5% sig+exp->bigfloat [43] 26.5% --------------------------------------------------------------------- hash-ref! [35] 100.0% [38] 942(5.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [46] 100.0% --------------------------------------------------------------------- taylor-sqrt [10] 37.5% hash-ref! [35] 62.5% [39] 586(3.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [42] 62.5% f6 [40] 37.5% --------------------------------------------------------------------- simplify [39] 6.7% map [44] 13.4% hash-ref! [35] 79.9% [40] 1094(6.3%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [44] 100.0% --------------------------------------------------------------------- bigfloat-hash [37] 100.0% [41] 692(4.0%) 474(2.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [45] 31.5% --------------------------------------------------------------------- simplify [39] 100.0% [42] 366(2.1%) 366(2.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 --------------------------------------------------------------------- bigfloat-hash [37] 100.0% [43] 250(1.4%) 250(1.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- parse-loop12 [36] 2.5% f6 [40] 10.2% loop [17] 34.3% make-exacts* [16] 53.0% [44] 8628(49.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [46] 88.6% ??? [52] 7.6% f6 [40] 1.7% loop [48] 1.3% parse-loop12 [36] 0.8% --------------------------------------------------------------------- bfcanonicalize [41] 100.0% [45] 218(1.2%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [47] 100.0% --------------------------------------------------------------------- make-exacts* [16] 0.0% extract-alt [15] 0.5% map [44] 0.7% parse-loop12 [36] 1.7% post-process [13] 1.8% append-map [23] 2.4% ??? [38] 6.6% loop [46] 86.2% [46] 14296(81.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [46] 86.2% hash-ref! [35] 6.6% taylor-alt [51] 2.4% completely-simplify-alt [50] 1.7% ??? [52] 1.7% ??? [49] 0.6% simplify [53] 0.5% ??? [74] 0.2% localize-error [19] 0.1% --------------------------------------------------------------------- bigfloat->sig+exp [45] 100.0% [47] 218(1.2%) 218(1.2%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 --------------------------------------------------------------------- map [44] 5.6% loop [48] 94.4% [48] 218(1.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [48] 94.4% ??? [54] 5.6% --------------------------------------------------------------------- loop [46] 100.0% [49] 10164(58.2%) 964(5.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [55] 66.4% real->bigfloat [57] 16.5% ??? [78] 7.7% --------------------------------------------------------------------- loop [46] 100.0% [50] 1746(10.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [56] 100.0% --------------------------------------------------------------------- loop [46] 37.3% append-map [23] 62.7% [51] 934(5.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [58] 100.0% --------------------------------------------------------------------- loop [46] 33.3% map [44] 66.7% [52] 874(5.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [35] 100.0% --------------------------------------------------------------------- loop [46] 26.8% ??? [25] 73.2% [53] 828(4.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [56] 49.0% for-loop [59] 26.8% loop [61] 24.2% --------------------------------------------------------------------- loop [48] 100.0% [54] 218(1.2%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:43:32 ->flonum [60] 100.0% --------------------------------------------------------------------- ??? [49] 100.0% [55] 6746(38.6%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [74] 67.2% bffma [63] 14.6% bf* [70] 11.5% ...higher-order.rkt:373:33 [65] 6.7% --------------------------------------------------------------------- simplify [53] 18.9% completely-simplify-alt [50] 81.1% [56] 2152(12.3%) 202(1.2%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [62] 81.4% mk-egraph [68] 9.2% --------------------------------------------------------------------- ??? [49] 100.0% [57] 1674(9.6%) 736(4.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [82] 56.0% --------------------------------------------------------------------- taylor-alt [51] 100.0% [58] 934(5.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [64] 100.0% --------------------------------------------------------------------- simplify [53] 100.0% [59] 222(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [62] 100.0% --------------------------------------------------------------------- ??? [54] 100.0% [60] 218(1.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [66] 100.0% --------------------------------------------------------------------- simplify [53] 100.0% [61] 200(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [67] 100.0% --------------------------------------------------------------------- for-loop [59] 11.2% simplify-expr [56] 88.8% [62] 1974(11.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [69] 100.0% --------------------------------------------------------------------- ??? [55] 100.0% [63] 984(5.6%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [70] 50.0% ...ow-val-first.rkt:357:18 [71] 50.0% --------------------------------------------------------------------- for-loop [58] 32.3% location-do [64] 67.7% [64] 934(5.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [64] 67.7% approximate9 [3] 32.3% --------------------------------------------------------------------- ??? [55] 100.0% [65] 450(2.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [76] 100.0% --------------------------------------------------------------------- ->flonum [60] 100.0% [66] 218(1.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [82] 100.0% --------------------------------------------------------------------- loop [61] 100.0% [67] 200(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 hash-set*+ [72] 100.0% --------------------------------------------------------------------- simplify-expr [56] 100.0% [68] 198(1.1%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [73] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [62] 100.0% [69] 1974(11.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [75] 100.0% --------------------------------------------------------------------- bffma [63] 38.7% ??? [55] 61.3% [70] 1270(7.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [74] 100.0% --------------------------------------------------------------------- bffma [63] 100.0% [71] 492(2.8%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [76] 100.0% --------------------------------------------------------------------- pass [67] 100.0% [72] 200(1.1%) 200(1.1%) hash-set*+ ...k/herbie/src/core/simplify.rkt:175:0 --------------------------------------------------------------------- mk-egraph [68] 25.0% expr->enode [73] 75.0% [73] 198(1.1%) 198(1.1%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [73] 75.0% --------------------------------------------------------------------- loop [46] 10.2% bf* [70] 19.7% ??? [55] 70.2% [74] 6460(37.0%) 758(4.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfhypot [77] 77.8% bfsqrt [80] 7.3% ??? [83] 3.1% --------------------------------------------------------------------- for-loop [75] 50.0% one-iter [69] 50.0% [75] 1974(11.3%) 862(4.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [75] 50.0% match-e [79] 22.6% ??? [81] 5.6% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [65] 47.8% ...ow-val-first.rkt:357:18 [71] 52.2% [76] 942(5.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [78] 100.0% --------------------------------------------------------------------- ??? [74] 100.0% [77] 5028(28.8%) 2806(16.1%) bfhypot ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [82] 44.2% --------------------------------------------------------------------- ??? [49] 45.3% ??? [76] 54.7% [78] 1722(9.9%) 210(1.2%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [83] 87.8% --------------------------------------------------------------------- for-loop [75] 100.0% [79] 892(5.1%) 684(3.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [84] 23.3% --------------------------------------------------------------------- ??? [74] 100.0% [80] 472(2.7%) 238(1.4%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [82] 49.6% --------------------------------------------------------------------- for-loop [75] 100.0% [81] 220(1.3%) 220(1.3%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 --------------------------------------------------------------------- ??? [66] 6.0% bfsqrt [80] 6.5% real->bigfloat [57] 26.0% bfhypot [77] 61.5% [82] 3612(20.7%) 3612(20.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [74] 11.8% ??? [78] 88.2% [83] 1714(9.8%) 772(4.4%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [85] 55.0% --------------------------------------------------------------------- match-e [79] 100.0% [84] 208(1.2%) 208(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 --------------------------------------------------------------------- ??? [83] 100.0% [85] 942(5.4%) 442(2.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [86] 53.1% --------------------------------------------------------------------- ??? [85] 100.0% [86] 500(2.9%) 500(2.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------