Profiling results ----------------- Total cpu time observed: 48544ms (out of 49440ms) Number of samples taken: 197 (once every 246ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 103 hidden) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [31] 100.0% [1] 46634(96.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ------------------------------------------------------------------------ ??? [31] 100.0% [2] 6906(14.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 75.9% loop [36] 12.5% get-final-combination [11] 11.6% ------------------------------------------------------------------------ loop [67] 17.4% ??? [31] 82.6% [3] 4628(9.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 for-loop [9] 43.5% simplify-expr [10] 30.4% iterate-egraph!5 [15] 26.1% ------------------------------------------------------------------------ hash-ref! [17] 100.0% [4] 206(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ------------------------------------------------------------------------ f16 [80] 100.0% [5] 206(0.4%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [13] 100.0% ------------------------------------------------------------------------ f16 [80] 100.0% [6] 200(0.4%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [67] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 99.1% [7] 47066(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [31] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [8] 5240(10.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 2014(4.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [10] 1406(2.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [11] 804(1.7%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ------------------------------------------------------------------------ ??? [4] 100.0% [12] 206(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [17] 100.0% ------------------------------------------------------------------------ taylor-quotient [5] 100.0% [13] 206(0.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [17] 100.0% ------------------------------------------------------------------------ for-loop [8] 100.0% [14] 5240(10.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 73.0% finalize-iter! [20] 11.5% gen-rewrites! [21] 7.8% gen-series! [22] 7.7% ------------------------------------------------------------------------ simplify [3] 26.1% simplify-expr [10] 30.4% for-loop [9] 43.5% [15] 4628(9.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 95.7% map-enodes [23] 4.3% ------------------------------------------------------------------------ get-final-combination [11] 100.0% [16] 804(1.7%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% ------------------------------------------------------------------------ for-loop [12] 50.0% first-nonzero-exp [13] 50.0% [17] 206(0.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 50.0% simplify [73] 50.0% ------------------------------------------------------------------------ iterate-egraph!5 [15] 100.0% [18] 4428(9.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 63.7% loop [26] 31.8% loop [30] 4.5% ------------------------------------------------------------------------ run-iter! [14] 100.0% [19] 3824(7.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [20] 600(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [21] 410(0.8%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [28] 100.0% ------------------------------------------------------------------------ run-iter! [14] 100.0% [22] 406(0.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [15] 100.0% [23] 200(0.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [67] 100.0% ------------------------------------------------------------------------ simplify! [19] 100.0% [24] 3824(7.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [31] 100.0% ------------------------------------------------------------------------ for-loop [25] 50.0% one-iter [18] 50.0% [25] 2820(5.8%) 804(1.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 50.0% match-e [37] 35.7% ------------------------------------------------------------------------ one-iter [18] 100.0% [26] 1408(2.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [32] 100.0% ------------------------------------------------------------------------ finalize-iter! [20] 100.0% [27] 600(1.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [33] 100.0% ------------------------------------------------------------------------ gen-rewrites! [21] 100.0% [28] 410(0.8%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [34] 100.0% ------------------------------------------------------------------------ gen-series! [22] 100.0% [29] 406(0.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [35] 100.0% ------------------------------------------------------------------------ one-iter [18] 100.0% [30] 200(0.4%) 200(0.4%) loop ...ket/collects/racket/private/list.rkt:264:4 ------------------------------------------------------------------------ for-loop [24] 2.8% run [7] 48.0% [31] 48328(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.1% loop [36] 44.0% run-improve58 [2] 6.2% simplify [3] 2.8% ------------------------------------------------------------------------ loop [26] 100.0% [32] 1408(2.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [37] 43.0% merge-egraph-nodes! [40] 28.4% for-loop [42] 14.3% loop! [74] 14.2% ------------------------------------------------------------------------ ??? [27] 100.0% [33] 600(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ------------------------------------------------------------------------ for-loop [28] 100.0% [34] 410(0.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [41] 50.7% loop [67] 49.3% ------------------------------------------------------------------------ for-loop [29] 100.0% [35] 406(0.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 2.0% ??? [31] 98.0% [36] 42284(87.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 47.6% make-exacts* [51] 36.0% loop [52] 16.0% ------------------------------------------------------------------------ for-loop [53] 15.4% apply-match [32] 15.4% for-loop [25] 69.2% [37] 2622(5.4%) 1612(3.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 38.5% curry* [56] 7.7% ------------------------------------------------------------------------ for-loop [33] 100.0% [38] 600(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% ------------------------------------------------------------------------ taylor-alt [35] 100.0% [39] 406(0.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% ------------------------------------------------------------------------ apply-match [32] 100.0% [40] 400(0.8%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [50] 50.0% update-leader! [49] 50.0% ------------------------------------------------------------------------ ??? [34] 33.3% matcher [58] 66.7% [41] 208(0.4%) 208(0.4%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [47] 66.7% ------------------------------------------------------------------------ apply-match [32] 100.0% [42] 202(0.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [48] 100.0% ------------------------------------------------------------------------ loop [36] 100.0% [43] 20114(41.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [51] 53.4% loop [52] 46.6% ------------------------------------------------------------------------ match-e [37] 100.0% [44] 1212(2.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 50.0% list-cartesian-product [54] 41.7% curry* [56] 8.3% ------------------------------------------------------------------------ atab-add-altn [38] 100.0% [45] 600(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [57] 66.7% for-loop [59] 33.3% ------------------------------------------------------------------------ location-do [46] 32.8% for-loop [39] 67.2% [46] 406(0.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 67.2% location-do [46] 32.8% ------------------------------------------------------------------------ rewriter [41] 100.0% [47] 208(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [58] 100.0% ------------------------------------------------------------------------ for-loop [42] 100.0% [48] 202(0.4%) 202(0.4%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 ------------------------------------------------------------------------ merge-egraph-nodes! [40] 100.0% [49] 200(0.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [40] 100.0% [50] 200(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [74] 100.0% ------------------------------------------------------------------------ loop [43] 41.4% loop [36] 58.6% [51] 25950(53.5%) 214(0.4%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [61] 57.6% loop [67] 41.6% ------------------------------------------------------------------------ loop [36] 41.9% loop [43] 58.1% [52] 16116(33.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 100.0% ------------------------------------------------------------------------ for-loop [44] 100.0% [53] 808(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [37] 100.0% ------------------------------------------------------------------------ list-cartesian-product [54] 16.7% for-loop [44] 83.3% [54] 606(1.2%) 202(0.4%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [62] 50.0% list-cartesian-product [54] 16.7% ------------------------------------------------------------------------ location-do [46] 100.0% [55] 406(0.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f16 [80] 100.0% ------------------------------------------------------------------------ for-loop [44] 50.0% match-e [37] 50.0% [56] 404(0.8%) 202(0.4%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [65] 50.0% ------------------------------------------------------------------------ best-and-tied-at-points [45] 100.0% [57] 400(0.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 100.0% ------------------------------------------------------------------------ for-loop [64] 50.0% for-loop [47] 50.0% [58] 208(0.4%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 for-loop [64] 50.0% rewriter [41] 50.0% ------------------------------------------------------------------------ best-and-tied-at-points [45] 100.0% [59] 200(0.4%) 200(0.4%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ------------------------------------------------------------------------ update-leader! [49] 100.0% [60] 200(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [66] 100.0% ------------------------------------------------------------------------ f16 [80] 1.3% make-exacts* [51] 47.5% loop [52] 51.2% [61] 31464(64.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 98.1% ??? [71] 0.6% f16 [80] 0.6% ??? [68] 0.5% make-multiplication-node [69] 0.2% ------------------------------------------------------------------------ list-cartesian-product [54] 100.0% [62] 404(0.8%) 404(0.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------ errors [57] 100.0% [63] 400(0.8%) 200(0.4%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [71] 50.0% ------------------------------------------------------------------------ matcher [58] 100.0% [64] 208(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:175:21 matcher [58] 100.0% ------------------------------------------------------------------------ curry* [56] 100.0% [65] 202(0.4%) 202(0.4%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ------------------------------------------------------------------------ for-loop [60] 100.0% [66] 200(0.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [70] 100.0% ------------------------------------------------------------------------ map-enodes [23] 0.1% loop! [74] 0.1% make-exacts* [51] 0.2% extract-alt [16] 0.4% taylor [6] 0.5% ??? [34] 0.5% map [61] 2.7% loop [67] 95.6% [67] 43270(89.1%) 430(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 95.6% ??? [71] 2.8% simplify [73] 0.5% simplify [3] 0.4% loop! [74] 0.1% ->flonum [72] 0.1% for-loop [76] 0.1% ------------------------------------------------------------------------ map [61] 100.0% [68] 406(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f16 [80] 100.0% ------------------------------------------------------------------------ map [61] 100.0% [69] 206(0.4%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [75]100.0% ------------------------------------------------------------------------ for-loop [66] 100.0% [70] 200(0.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [77] 100.0% ------------------------------------------------------------------------ for-loop [63] 0.5% map [61] 0.5% loop [67] 99.0% [71] 40988(84.4%) 942(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 71.9% real->bigfloat [79] 19.1% ??? [96] 6.7% ------------------------------------------------------------------------ loop [67] 100.0% [72] 1052(2.2%) 220(0.5%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 41.6% ??? [87] 18.8% ??? [88] 18.6% ------------------------------------------------------------------------ loop [67] 49.3% hash-ref! [17] 50.7% [73] 406(0.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [80] 50.7% debug-print [85] 49.3% ------------------------------------------------------------------------ apply-match [32] 25.0% for-loop [50] 25.0% loop [67] 50.0% [74] 400(0.8%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [67] 50.0% custom-set-union [83] 25.0% update-en-expr [84] 25.0% ------------------------------------------------------------------------ make-multiplication-node [69] 100.0% [75] 206(0.4%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [81] 100.0% ------------------------------------------------------------------------ loop [67] 100.0% [76] 200(0.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [82] 100.0% ------------------------------------------------------------------------ hash-update! [70] 100.0% [77] 200(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [86] 100.0% ------------------------------------------------------------------------ ??? [71] 100.0% [78] 29450(60.7%) 1134(2.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 74.7% bfcube [89] 12.4% ...higher-order.rkt:373:33 [90] 4.3% bf* [91] 2.4% ...ow-val-first.rkt:357:18 [92] 2.3% ------------------------------------------------------------------------ ??? [71] 100.0% [79] 7840(16.2%) 5340(11.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 31.9% ------------------------------------------------------------------------ simplify [73] 7.2% ??? [68] 14.3% approximate9 [55] 14.3% map [61] 21.5% f16 [80] 42.6% [80] 406(0.8%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [61] 43.1% f16 [80] 42.6% taylor-quotient [5] 7.2% taylor [6] 7.0% ------------------------------------------------------------------------ make-multiplication-subnode [75]100.0% [81] 206(0.4%) 206(0.4%) group-by68 ...acket/collects/racket/list.rkt:749:0 ------------------------------------------------------------------------ for-loop [76] 100.0% [82] 200(0.4%) 200(0.4%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ------------------------------------------------------------------------ loop! [74] 100.0% [83] 200(0.4%) 200(0.4%) custom-set-union ...et/private/set-types.rkt:168:0 ------------------------------------------------------------------------ loop! [74] 100.0% [84] 200(0.4%) 200(0.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ simplify [73] 100.0% [85] 200(0.4%) 200(0.4%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ------------------------------------------------------------------------ ??? [77] 100.0% [86] 200(0.4%) 200(0.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ------------------------------------------------------------------------ ->flonum [72] 100.0% [87] 198(0.4%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [99] 100.0% ------------------------------------------------------------------------ ->flonum [72] 100.0% [88] 196(0.4%) 196(0.4%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ------------------------------------------------------------------------ ??? [78] 100.0% [89] 3664(7.5%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [91] 87.3% ...ow-val-first.rkt:357:18 [92] 12.7% ------------------------------------------------------------------------ ??? [78] 100.0% [90] 1274(2.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 68.9% ??? [96] 31.1% ------------------------------------------------------------------------ ??? [78] 18.1% bfcube [89] 81.9% [91] 3906(8.0%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [93] 100.0% ------------------------------------------------------------------------ bfcube [89] 40.8% ??? [78] 59.2% [92] 1138(2.3%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [94] 100.0% ------------------------------------------------------------------------ bf* [91] 15.1% ??? [78] 84.9% [93] 25904(53.4%) 12292(25.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [95] 28.0% ??? [98] 13.5% bfasin [97] 11.1% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [90] 43.6% ...ow-val-first.rkt:357:18 [92] 56.4% [94] 2016(4.2%) 202(0.4%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 90.0% ------------------------------------------------------------------------ ??? [93] 100.0% [95] 7244(14.9%) 5402(11.1%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 25.4% ------------------------------------------------------------------------ ...higher-order.rkt:373:33 [90] 8.0% ??? [94] 36.5% ??? [71] 55.5% [96] 4966(10.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ------------------------------------------------------------------------ ??? [93] 100.0% [97] 2870(5.9%) 1360(2.8%) bfasin ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 52.6% ------------------------------------------------------------------------ ->flonum [72] 4.9% ??? [93] 39.3% ??? [96] 55.8% [98] 8902(18.3%) 2894(6.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [100] 64.8% ??? [101] 2.7% ------------------------------------------------------------------------ ??? [87] 3.3% bfasin [97] 25.0% bfexpt [95] 30.4% real->bigfloat [79] 41.3% [99] 6050(12.5%) 6050(12.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ??? [98] 100.0% [100] 5770(11.9%) 3036(6.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 47.4% ------------------------------------------------------------------------ ??? [98] 100.0% [101] 238(0.5%) 238(0.5%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------ ??? [100] 100.0% [102] 2734(5.6%) 2734(5.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ------------------------------------------------------------------------