Profiling results ----------------- Total cpu time observed: 22338ms (out of 22840ms) Number of samples taken: 104 (once every 215ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 108 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [27] 100.0% [1] 20986(93.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [2] 11552(51.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 98.1% get-final-combination [9] 1.9% ---------------------------------------------------------------------- loop [63] 2.1% ??? [27] 97.9% [3] 10172(45.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [7] 64.5% for-loop [8] 24.3% iterate-egraph!5 [12] 9.4% loop [13] 1.7% ---------------------------------------------------------------------- f37 [76] 100.0% [4] 158(0.7%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [10] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 99.0% [5] 21190(94.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 11334(50.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 6564(29.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 96.7% loop [13] 3.3% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 2474(11.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 218(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [14] 100.0% ---------------------------------------------------------------------- taylor-invert [4] 100.0% [10] 158(0.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [76] 100.0% ---------------------------------------------------------------------- for-loop [6] 100.0% [11] 11334(50.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [15] 87.8% finalize-iter! [17] 5.1% gen-series! [18] 4.4% localize-error [20] 1.4% ---------------------------------------------------------------------- simplify [3] 9.8% for-loop [8] 25.3% simplify-expr [7] 64.9% [12] 9784(43.8%) 164(0.7%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [16] 96.4% ---------------------------------------------------------------------- simplify [3] 44.8% simplify-expr [7] 55.2% [13] 388(1.7%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [19] 100.0% ---------------------------------------------------------------------- get-final-combination [9] 100.0% [14] 218(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [63] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [15] 9954(44.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [12] 100.0% [16] 9430(42.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [22] 58.5% loop [23] 39.5% apply-match [28] 2.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [17] 574(2.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [24] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [18] 494(2.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ---------------------------------------------------------------------- loop [13] 100.0% [19] 388(1.7%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [26] 100.0% ---------------------------------------------------------------------- run-iter! [11] 100.0% [20] 164(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [69] 100.0% ---------------------------------------------------------------------- simplify! [15] 100.0% [21] 9954(44.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 100.0% ---------------------------------------------------------------------- for-loop [22] 50.0% one-iter [16] 50.0% [22] 5516(24.7%) 1320(5.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [22] 50.0% match-e [33] 36.7% ---------------------------------------------------------------------- one-iter [16] 100.0% [23] 3726(16.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [28] 100.0% ---------------------------------------------------------------------- finalize-iter! [17] 100.0% [24] 574(2.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 100.0% ---------------------------------------------------------------------- gen-series! [18] 100.0% [25] 494(2.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ---------------------------------------------------------------------- pass [19] 100.0% [26] 388(1.7%) 174(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 loop [31] 55.2% ---------------------------------------------------------------------- for-loop [21] 15.4% run [5] 41.4% [27] 21982(98.4%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.5% loop [32] 25.2% run-improve58 [2] 19.0% simplify [3] 15.4% ---------------------------------------------------------------------- one-iter [16] 4.8% loop [23] 95.2% [28] 3914(17.5%) 164(0.7%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [41] 42.4% substitute-e [42] 16.1% for-loop [35] 13.7% update-leader! [50] 5.4% reduce-to-single! [38] 5.1% match-e [33] 4.8% mk-enode! [52] 4.3% loop! [68] 4.0% ---------------------------------------------------------------------- ??? [24] 100.0% [29] 574(2.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [34] 100.0% ---------------------------------------------------------------------- for-loop [25] 100.0% [30] 494(2.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [36] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [31] 214(1.0%) 0(0.0%) loop ...hare/racket/collects/racket/list.rkt:729:4 expression-cost [37] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [32] 10430(46.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [39] 52.9% make-exacts* [48] 40.5% loop [49] 4.7% ---------------------------------------------------------------------- apply-match [28] 4.4% for-loop [51] 8.3% for-loop [22] 87.2% [33] 4232(18.9%) 2150(9.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [40] 45.7% list-cartesian-product [45] 5.4% loop [63] 4.5% ---------------------------------------------------------------------- for-loop [29] 100.0% [34] 574(2.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43] 100.0% ---------------------------------------------------------------------- apply-match [28] 100.0% [35] 536(2.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [68] 40.3% merge-egraph-nodes! [41] 31.7% substitute-e [42] 28.0% ---------------------------------------------------------------------- taylor-alt [30] 100.0% [36] 494(2.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% ---------------------------------------------------------------------- loop [31] 100.0% [37] 214(1.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [46] 100.0% ---------------------------------------------------------------------- apply-match [28] 100.0% [38] 200(0.9%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 make-sequence [47] 100.0% ---------------------------------------------------------------------- loop [32] 100.0% [39] 5520(24.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 74.1% make-exacts* [48] 25.9% ---------------------------------------------------------------------- match-e [33] 100.0% [40] 2202(9.9%) 1300(5.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [51] 36.1% loop [63] 8.5% ---------------------------------------------------------------------- for-loop [35] 9.3% for-loop [55] 10.8% apply-match [28] 79.9% [41] 1830(8.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 70.9% for-loop [55] 10.8% enode-merge! [56] 10.5% loop! [68] 7.8% ---------------------------------------------------------------------- for-loop [35] 9.6% substitute-e [42] 24.0% apply-match [28] 66.4% [42] 780(3.5%) 374(1.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [52] 52.1% substitute-e [42] 24.0% ---------------------------------------------------------------------- atab-add-altn [34] 100.0% [43] 574(2.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [53] 100.0% ---------------------------------------------------------------------- location-do [44] 15.6% for-loop [36] 84.4% [44] 494(2.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [54] 84.4% location-do [44] 15.6% ---------------------------------------------------------------------- match-e [33] 100.0% [45] 230(1.0%) 230(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- expression-cost [37] 100.0% [46] 214(1.0%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [69] 100.0% ---------------------------------------------------------------------- reduce-to-single! [38] 100.0% [47] 200(0.9%) 200(0.9%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- loop [39] 25.3% loop [32] 74.7% [48] 5648(25.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [57] 57.3% loop [63] 42.7% ---------------------------------------------------------------------- loop [32] 10.6% loop [39] 89.4% [49] 4578(20.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [57] 100.0% ---------------------------------------------------------------------- apply-match [28] 14.0% merge-egraph-nodes! [41] 86.0% [50] 1510(6.8%) 170(0.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [58] 88.7% ---------------------------------------------------------------------- for-loop [40] 100.0% [51] 878(3.9%) 174(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [33] 80.2% ---------------------------------------------------------------------- apply-match [28] 29.3% substitute-e [42] 70.7% [52] 574(2.6%) 168(0.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [59] 70.7% ---------------------------------------------------------------------- best-and-tied-at-points [43] 100.0% [53] 574(2.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [60] 62.4% eval-prog [61] 37.6% ---------------------------------------------------------------------- location-do [44] 100.0% [54] 494(2.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [76] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [55] 340(1.5%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [41] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [56] 192(0.9%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [62] 100.0% ---------------------------------------------------------------------- f37 [76] 7.8% make-exacts* [48] 38.2% loop [49] 54.0% [57] 8470(37.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [63] 90.5% f37 [76] 4.0% ??? [66] 2.7% taylor [87] 1.8% ??? [65] 1.0% ---------------------------------------------------------------------- update-leader! [50] 100.0% [58] 1340(6.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 100.0% ---------------------------------------------------------------------- mk-enode! [52] 100.0% [59] 406(1.8%) 406(1.8%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- errors [53] 100.0% [60] 358(1.6%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [66] 100.0% ---------------------------------------------------------------------- errors [53] 100.0% [61] 216(1.0%) 216(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- enode-merge! [56] 100.0% [62] 192(0.9%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [78] 100.0% ---------------------------------------------------------------------- make-exacts* [48] 0.0% parse-loop12 [83] 0.0% for-loop [40] 0.5% match-e [33] 0.8% extract-alt [14] 0.9% loop! [68] 1.0% ??? [66] 3.1% map [57] 8.7% loop [63] 84.1% [63] 11684(52.3%) 656(2.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [63] 84.1% ??? [66] 8.6% ->flonum [70] 3.1% loop! [68] 1.0% simplify [3] 0.9% for-loop [71] 0.8% foldl [72] 0.8% ??? [65] 0.0% real->bigfloat [74] 0.0% ??? [96] 0.0% ---------------------------------------------------------------------- for-loop [58] 100.0% [64] 1340(6.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% ---------------------------------------------------------------------- map [57] 50.0% loop [63] 50.0% [65] 164(0.7%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [69] 100.0% ---------------------------------------------------------------------- map [57] 2.2% for-loop [60] 3.4% loop [63] 94.5% [66] 10584(47.4%) 464(2.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [73] 53.9% real->bigfloat [74] 26.2% loop [63] 15.5% ---------------------------------------------------------------------- for-loop [64] 100.0% [67] 1340(6.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [75] 100.0% ---------------------------------------------------------------------- for-loop [35] 15.2% apply-match [28] 21.9% loop [63] 26.5% merge-egraph-nodes! [41] 36.4% [68] 712(3.2%) 156(0.7%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [63] 26.5% set [77] 26.5% custom-set-union [78] 25.0% ---------------------------------------------------------------------- localize-error [20] 14.5% ??? [80] 28.3% compile [46] 28.3% ??? [65] 28.9% [69] 378(1.7%) 214(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 f37 [76] 28.9% ??? [80] 28.3% parse-loop12 [83] 14.5% ---------------------------------------------------------------------- loop [63] 100.0% [70] 358(1.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [79] 100.0% ---------------------------------------------------------------------- loop [63] 100.0% [71] 190(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [81] 100.0% ---------------------------------------------------------------------- loop [63] 100.0% [72] 190(0.9%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [82] 100.0% ---------------------------------------------------------------------- ??? [66] 100.0% [73] 5704(25.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 48.8% ...higher-order.rkt:373:33 [84] 29.0% bf* [85] 22.2% ---------------------------------------------------------------------- loop [63] 9.7% ??? [66] 90.3% [74] 3074(13.8%) 2338(10.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [99] 23.9% ---------------------------------------------------------------------- hash-update! [67] 100.0% [75] 1340(6.0%) 168(0.8%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [86] 87.5% ---------------------------------------------------------------------- simplify [10] 6.0% map [57] 15.2% f37 [76] 15.2% hash-ref! [69] 24.9% approximate9 [54] 38.6% [76] 658(2.9%) 0(0.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [57] 63.6% f37 [76] 15.2% taylor [87] 9.2% taylor-invert [4] 6.0% compose [89] 6.0% ---------------------------------------------------------------------- loop! [68] 100.0% [77] 378(1.7%) 378(1.7%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- loop! [68] 48.1% adopt-enode! [62] 51.9% [78] 370(1.7%) 192(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [88] 48.1% ---------------------------------------------------------------------- ->flonum [70] 100.0% [79] 358(1.6%) 358(1.6%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- hash-ref! [69] 100.0% [80] 214(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [69] 100.0% ---------------------------------------------------------------------- for-loop [71] 100.0% [81] 190(0.9%) 190(0.9%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- foldl [72] 100.0% [82] 190(0.9%) 190(0.9%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- hash-ref! [69] 100.0% [83] 164(0.7%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [63] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [84] 1652(7.4%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [85] 1266(5.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ---------------------------------------------------------------------- ??? [75] 100.0% [86] 1172(5.2%) 756(3.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [92] 35.5% ---------------------------------------------------------------------- map [57] 45.8% f37 [76] 54.2% [87] 336(1.5%) 182(0.8%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [94] 45.8% ---------------------------------------------------------------------- custom-set-union [78] 100.0% [88] 178(0.8%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [93] 100.0% ---------------------------------------------------------------------- f37 [76] 100.0% [89] 158(0.7%) 158(0.7%) compose ...collects/racket/private/list.rkt:385:12 ---------------------------------------------------------------------- bf* [85] 31.2% ??? [73] 68.8% [90] 4052(18.1%) 224(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [95] 70.8% ??? [100] 12.0% bfsqrt [97] 11.6% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [84]100.0% [91] 1652(7.4%) 216(1.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 86.9% ---------------------------------------------------------------------- for-loop [86] 100.0% [92] 416(1.9%) 416(1.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- for-loop [88] 100.0% [93] 178(0.8%) 178(0.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- taylor [87] 100.0% [94] 154(0.7%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 return/no-unsupplied [98] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [95] 2868(12.8%) 1474(6.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [99] 48.6% ---------------------------------------------------------------------- loop [63] 15.9% ??? [91] 84.1% [96] 1708(7.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [100] 100.0% ---------------------------------------------------------------------- ??? [90] 100.0% [97] 472(2.1%) 0(0.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [99] 100.0% ---------------------------------------------------------------------- debug7 [94] 100.0% [98] 154(0.7%) 154(0.7%) return/no-unsupplied ...ct/private/arr-i.rkt:534:0 ---------------------------------------------------------------------- bfsqrt [97] 18.1% real->bigfloat [74] 28.3% bfmul [95] 53.6% [99] 2602(11.6%) 2602(11.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [90] 22.2% ??? [96] 77.8% [100] 2196(9.8%) 940(4.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [101] 57.2% ---------------------------------------------------------------------- ??? [100] 100.0% [101] 1256(5.6%) 1022(4.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [102] 18.6% ---------------------------------------------------------------------- ??? [101] 100.0% [102] 234(1.0%) 234(1.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------