Profiling results ----------------- Total cpu time observed: 20640ms (out of 21176ms) Number of samples taken: 87 (once every 237ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 86 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [17] 100.0% [1] 20034(97.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [17] 100.0% [2] 2352(11.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 71.4% loop [20] 10.2% setup-prog [6] 9.4% get-final-combination [7] 8.9% ---------------------------------------------------------------------- hash-ref! [40] 100.0% [3] 634(3.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [35] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.0% [4] 20230(98.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [17] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 1680(8.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [8] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 222(1.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [9] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 210(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [10] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [8] 1680(8.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [11] 74.9% finalize-iter! [12] 13.1% gen-series! [13] 12.0% ---------------------------------------------------------------------- setup-prog [6] 100.0% [9] 222(1.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [39] 100.0% ---------------------------------------------------------------------- get-final-combination [7] 100.0% [10] 210(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [35] 100.0% ---------------------------------------------------------------------- run-iter! [8] 100.0% [11] 1258(6.1%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [14] 100.0% ---------------------------------------------------------------------- run-iter! [8] 100.0% [12] 220(1.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [15] 100.0% ---------------------------------------------------------------------- run-iter! [8] 100.0% [13] 202(1.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [16] 100.0% ---------------------------------------------------------------------- simplify! [11] 100.0% [14] 1258(6.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [17] 100.0% ---------------------------------------------------------------------- finalize-iter! [12] 100.0% [15] 220(1.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [18] 100.0% ---------------------------------------------------------------------- gen-series! [13] 100.0% [16] 202(1.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [19] 100.0% ---------------------------------------------------------------------- for-loop [14] 2.2% run [4] 48.6% [17] 20640(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.7% loop [20] 45.3% run-improve58 [2] 4.8% simplify [39] 2.2% ---------------------------------------------------------------------- ??? [15] 100.0% [18] 220(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [21] 100.0% ---------------------------------------------------------------------- for-loop [16] 100.0% [19] 202(1.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [22] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.3% ??? [17] 98.7% [20] 18528(89.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [23] 50.3% make-exacts* [27] 37.9% loop [28] 10.8% filter-exacts [26] 1.1% ---------------------------------------------------------------------- for-loop [18] 100.0% [21] 220(1.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [24] 100.0% ---------------------------------------------------------------------- taylor-alt [19] 100.0% [22] 202(1.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [25] 100.0% ---------------------------------------------------------------------- loop [20] 100.0% [23] 9316(45.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [28] 48.4% make-exacts* [27] 35.2% eval-prog [33] 16.4% ---------------------------------------------------------------------- atab-add-altn [21] 100.0% [24] 220(1.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [29] 100.0% ---------------------------------------------------------------------- for-loop [22] 100.0% [25] 202(1.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [30] 100.0% ---------------------------------------------------------------------- loop [20] 100.0% [26] 196(0.9%) 0(0.0%) filter-exacts ...tlock/herbie/src/points.rkt:108:0 for-loop [31] 100.0% ---------------------------------------------------------------------- loop [23] 31.9% loop [20] 68.1% [27] 10294(49.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [32] 62.1% loop [35] 35.7% eval-prog [33] 2.2% ---------------------------------------------------------------------- loop [20] 30.7% loop [23] 69.3% [28] 6512(31.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [32] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [24] 100.0% [29] 220(1.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [34] 100.0% ---------------------------------------------------------------------- location-do [25] 100.0% [30] 202(1.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [37] 100.0% ---------------------------------------------------------------------- filter-exacts [26] 100.0% [31] 196(0.9%) 196(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:111:4 ---------------------------------------------------------------------- f94 [37] 1.5% make-exacts* [27] 48.8% loop [28] 49.7% [32] 13104(63.5%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [35] 95.5% ??? [38] 3.0% f94 [37] 1.5% ---------------------------------------------------------------------- make-exacts* [27] 12.8% loop [23] 87.2% [33] 1750(8.5%) 228(1.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [40] 60.8% inductor [36] 26.2% ---------------------------------------------------------------------- errors [29] 100.0% [34] 220(1.1%) 220(1.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------- make-exacts* [27] 0.1% extract-alt [10] 1.2% map [32] 2.0% ??? [3] 3.7% loop [35] 92.9% [35] 17032(82.5%) 682(3.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [35] 92.9% hash-ref! [40] 3.7% ??? [38] 1.8% simplify [39] 1.2% ->flonum [41] 0.3% ---------------------------------------------------------------------- inductor [36] 32.6% eval-prog [33] 67.4% [36] 458(2.2%) 234(1.1%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [36] 32.6% integer->bigfloat [42] 16.3% ---------------------------------------------------------------------- map [32] 50.0% approximate9 [30] 50.0% [37] 202(1.0%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [32] 50.0% taylor-invert [43] 50.0% ---------------------------------------------------------------------- map [32] 2.6% loop [35] 97.4% [38] 15010(72.7%) 656(3.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [44] 68.9% real->bigfloat [45] 20.9% ??? [65] 4.5% ---------------------------------------------------------------------- loop [35] 12.4% simplify-alt [9] 13.1% ??? [17] 74.4% [39] 1690(8.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [53] 37.6% simplify-expr [47] 36.2% for-loop [48] 26.2% ---------------------------------------------------------------------- loop [35] 32.9% eval-prog [33] 67.1% [40] 1064(5.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [46] 67.1% ??? [3] 32.9% ---------------------------------------------------------------------- loop [35] 100.0% [41] 890(4.3%) 214(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [69] 26.5% ??? [50] 24.7% ??? [49] 24.7% ---------------------------------------------------------------------- inductor [36] 100.0% [42] 224(1.1%) 224(1.1%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- f94 [37] 100.0% [43] 202(1.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [51] 100.0% ---------------------------------------------------------------------- ??? [38] 100.0% [44] 10348(50.1%) 220(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [52] 74.1% bf<= [54] 8.8% ...higher-order.rkt:369:33 [55] 8.1% ...higher-order.rkt:373:33 [56] 6.8% ---------------------------------------------------------------------- ??? [38] 100.0% [45] 3132(15.2%) 2476(12.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [66] 20.9% ---------------------------------------------------------------------- hash-ref! [40] 100.0% [46] 1064(5.2%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [57] 59.6% bfcanonicalize [58] 21.4% bigfloat->sig+exp [59] 19.0% ---------------------------------------------------------------------- simplify [39] 100.0% [47] 612(3.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [53] 100.0% ---------------------------------------------------------------------- simplify [39] 100.0% [48] 442(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [53] 100.0% ---------------------------------------------------------------------- ->flonum [41] 100.0% [49] 220(1.1%) 220(1.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ->flonum [41] 100.0% [50] 220(1.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [66] 100.0% ---------------------------------------------------------------------- taylor-invert [43] 100.0% [51] 202(1.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [60] 100.0% ---------------------------------------------------------------------- ??? [44] 100.0% [52] 7670(37.2%) 1828(8.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [61] 47.0% bfsqr [62] 26.3% ??? [69] 2.9% ---------------------------------------------------------------------- for-loop [48] 26.2% simplify-expr [47] 36.2% simplify [39] 37.6% [53] 1690(8.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [63] 100.0% ---------------------------------------------------------------------- ??? [44] 100.0% [54] 914(4.4%) 0(0.0%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [69] 100.0% ---------------------------------------------------------------------- ??? [44] 100.0% [55] 836(4.1%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [65] 100.0% ---------------------------------------------------------------------- ??? [44] 100.0% [56] 708(3.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [64] 100.0% ---------------------------------------------------------------------- bigfloat-hash [46] 100.0% [57] 634(3.1%) 634(3.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- bigfloat-hash [46] 100.0% [58] 228(1.1%) 228(1.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [46] 100.0% [59] 202(1.0%) 202(1.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 ---------------------------------------------------------------------- simplify [51] 100.0% [60] 202(1.0%) 202(1.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 ---------------------------------------------------------------------- ??? [52] 100.0% [61] 3602(17.5%) 2706(13.1%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [66] 24.9% ---------------------------------------------------------------------- ??? [52] 100.0% [62] 2018(9.8%) 1802(8.7%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [66] 10.7% ---------------------------------------------------------------------- iterate-egraph!5 [53] 100.0% [63] 1690(8.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [67] 74.9% loop [68] 25.1% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [56]100.0% [64] 708(3.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [65] 100.0% ---------------------------------------------------------------------- ??? [38] 30.3% ??? [64] 32.0% ...higher-order.rkt:369:33 [55] 37.8% [65] 2214(10.7%) 226(1.1%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [69] 89.8% ---------------------------------------------------------------------- bfsqr [62] 10.9% ??? [50] 11.1% real->bigfloat [45] 33.0% bfadd [61] 45.1% [66] 1988(9.6%) 1988(9.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- for-loop [67] 50.0% one-iter [63] 50.0% [67] 1266(6.1%) 202(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [67] 50.0% match-e [70] 42.0% ---------------------------------------------------------------------- one-iter [63] 100.0% [68] 424(2.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [71] 100.0% ---------------------------------------------------------------------- ??? [52] 6.6% ->flonum [41] 7.0% bf<= [54] 27.2% ??? [65] 59.2% [69] 3360(16.3%) 2454(11.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [72] 27.0% ---------------------------------------------------------------------- for-loop [67] 100.0% [70] 1064(5.2%) 654(3.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 custom-in-set [74] 19.7% for-loop [76] 18.8% ---------------------------------------------------------------------- loop [68] 100.0% [71] 424(2.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [73] 52.4% merge-egraph-nodes! [75] 47.6% ---------------------------------------------------------------------- ??? [69] 100.0% [72] 906(4.4%) 222(1.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [77] 75.5% ---------------------------------------------------------------------- apply-match [71] 100.0% [73] 222(1.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [78] 100.0% ---------------------------------------------------------------------- match-e [70] 100.0% [74] 210(1.0%) 210(1.0%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- apply-match [71] 100.0% [75] 202(1.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [79] 100.0% ---------------------------------------------------------------------- match-e [70] 100.0% [76] 200(1.0%) 200(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- ??? [72] 100.0% [77] 684(3.3%) 684(3.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- loop! [73] 100.0% [78] 222(1.1%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [80] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [75] 100.0% [79] 202(1.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [81] 100.0% ---------------------------------------------------------------------- custom-set-union [78] 100.0% [80] 222(1.1%) 222(1.1%) for-loop ...cts/racket/private/set-types.rkt:174:3 ---------------------------------------------------------------------- update-leader! [79] 100.0% [81] 202(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [82] 100.0% ---------------------------------------------------------------------- for-loop [81] 100.0% [82] 202(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [83] 100.0% ---------------------------------------------------------------------- for-loop [82] 100.0% [83] 202(1.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [84] 100.0% ---------------------------------------------------------------------- hash-update! [83] 100.0% [84] 202(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [85] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [85] 202(1.0%) 202(1.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------