Profiling results ----------------- Total cpu time observed: 71618ms (out of 72260ms) Number of samples taken: 306 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 100 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [33] 100.0% [1] 69916(97.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [33] 100.0% [2] 8968(12.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 81.6% get-final-combination [13] 11.4% loop [38] 7.0% ----------------------------------------------------------------------- loop [80] 20.5% ??? [33] 79.5% [3] 4990(7.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 66.3% for-loop [11] 21.2% iterate-egraph!5 [16] 12.5% ----------------------------------------------------------------------- map [77] 30.4% loop [80] 69.6% [4] 658(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [72] 69.6% f6 [74] 30.4% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [5] 222(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ----------------------------------------------------------------------- f6 [74] 100.0% [6] 202(0.3%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [12] 100.0% ----------------------------------------------------------------------- f6 [74] 100.0% [7] 200(0.3%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [12] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 99.1% [8] 70534(98.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 7322(10.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 3308(4.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 1060(1.5%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 100.0% ----------------------------------------------------------------------- taylor-invert [7] 19.5% taylor-quotient [6] 19.7% hash-ref! [72] 60.8% [12] 1026(1.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [73] 60.8% make-multiplication-node [18] 19.7% f6 [74] 19.5% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 1022(1.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [14] 222(0.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [72] 100.0% ----------------------------------------------------------------------- for-loop [9] 100.0% [15] 7322(10.2%) 416(0.6%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 54.2% finalize-iter! [21] 17.1% gen-series! [22] 14.0% localize-error [23] 6.3% gen-rewrites! [25] 2.8% ----------------------------------------------------------------------- simplify [3] 12.5% for-loop [11] 21.2% simplify-expr [10] 66.3% [16] 4990(7.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 100.0% ----------------------------------------------------------------------- get-final-combination [13] 100.0% [17] 1022(1.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% ----------------------------------------------------------------------- simplify [12] 100.0% [18] 202(0.3%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [24]100.0% ----------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [19] 4990(7.0%) 220(0.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 74.8% loop [30] 12.7% apply-match [35] 8.1% ----------------------------------------------------------------------- run-iter! [15] 100.0% [20] 3968(5.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [21] 1252(1.7%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [22] 1026(1.4%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [23] 458(0.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [72] 100.0% ----------------------------------------------------------------------- make-multiplication-node [18] 100.0% [24] 202(0.3%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [31] 100.0% ----------------------------------------------------------------------- run-iter! [15] 100.0% [25] 202(0.3%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [32] 100.0% ----------------------------------------------------------------------- simplify! [20] 100.0% [26] 3968(5.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 100.0% ----------------------------------------------------------------------- for-loop [27] 50.0% one-iter [19] 50.0% [27] 3734(5.2%) 844(1.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 50.0% match-e [39] 38.7% ----------------------------------------------------------------------- finalize-iter! [21] 100.0% [28] 1252(1.7%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [34] 100.0% ----------------------------------------------------------------------- gen-series! [22] 100.0% [29] 1026(1.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ----------------------------------------------------------------------- one-iter [19] 100.0% [30] 634(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% ----------------------------------------------------------------------- make-multiplication-subnode [24]100.0% [31] 202(0.3%) 202(0.3%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- gen-rewrites! [25] 100.0% [32] 202(0.3%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [37] 100.0% ----------------------------------------------------------------------- for-loop [26] 1.9% run [8] 48.9% [33] 71398(99.7%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.0% loop [38] 44.2% run-improve58 [2] 6.0% simplify [3] 1.9% ----------------------------------------------------------------------- ??? [28] 100.0% [34] 1252(1.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% ----------------------------------------------------------------------- one-iter [19] 38.8% loop [30] 61.2% [35] 1036(1.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [42] 40.0% merge-egraph-nodes! [43] 21.2% match-e [39] 19.5% mk-enode! [45] 19.3% ----------------------------------------------------------------------- for-loop [29] 100.0% [36] 1026(1.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% ----------------------------------------------------------------------- for-loop [32] 100.0% [37] 202(0.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [44] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 1.0% ??? [33] 99.0% [38] 63054(88.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [59] 56.2% loop [46] 42.9% loop [60] 0.7% for-loop [53] 0.3% ----------------------------------------------------------------------- for-loop [51] 3.6% apply-match [35] 6.5% for-loop [27] 89.9% [39] 3092(4.3%) 1626(2.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [47] 30.9% list-cartesian-product [52] 6.5% custom-in-set [58] 6.5% for-loop [51] 3.6% ----------------------------------------------------------------------- for-loop [34] 100.0% [40] 1252(1.7%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [49] 66.1% loop [80] 17.7% override-at-pnts [55] 16.1% ----------------------------------------------------------------------- taylor-alt [36] 100.0% [41] 1026(1.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ----------------------------------------------------------------------- apply-match [35] 100.0% [42] 414(0.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [83] 51.7% substitute-e [57] 48.3% ----------------------------------------------------------------------- apply-match [35] 100.0% [43] 220(0.3%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 100.0% ----------------------------------------------------------------------- matcher [67] 50.0% ??? [37] 50.0% [44] 202(0.3%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [56] 50.0% *rules* [54] 50.0% ----------------------------------------------------------------------- apply-match [35] 100.0% [45] 200(0.3%) 200(0.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- loop [38] 100.0% [46] 27022(37.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [60] 60.2% make-exacts* [59] 39.8% ----------------------------------------------------------------------- match-e [39] 100.0% [47] 1064(1.5%) 642(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 curry* [63] 20.7% loop [80] 19.0% ----------------------------------------------------------------------- location-do [48] 36.0% for-loop [41] 64.0% [48] 1026(1.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [61] 64.0% location-do [48] 36.0% ----------------------------------------------------------------------- atab-add-altn [40] 100.0% [49] 828(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [62] 74.6% for-loop [64] 25.4% ----------------------------------------------------------------------- merge-egraph-nodes! [43] 100.0% [50] 220(0.3%) 220(0.3%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ----------------------------------------------------------------------- match-e [39] 100.0% [51] 220(0.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 100.0% ----------------------------------------------------------------------- match-e [39] 100.0% [52] 202(0.3%) 202(0.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- loop [38] 100.0% [53] 202(0.3%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [65] 100.0% ----------------------------------------------------------------------- rewriter [44] 100.0% [54] 202(0.3%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:296:0 for-loop [66] 100.0% ----------------------------------------------------------------------- atab-add-altn [40] 100.0% [55] 202(0.3%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [62] 100.0% ----------------------------------------------------------------------- rewriter [44] 100.0% [56] 202(0.3%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [67] 100.0% ----------------------------------------------------------------------- substitute-e [57] 50.0% for-loop [42] 50.0% [57] 200(0.3%) 200(0.3%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 substitute-e [57] 50.0% ----------------------------------------------------------------------- match-e [39] 100.0% [58] 200(0.3%) 200(0.3%) custom-in-set ...acket/private/set-types.rkt:578:0 ----------------------------------------------------------------------- loop [46] 23.3% loop [38] 76.7% [59] 46178(64.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [77] 51.4% loop [80] 48.6% ----------------------------------------------------------------------- loop [38] 2.5% loop [46] 97.5% [60] 16674(23.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [77] 100.0% ----------------------------------------------------------------------- location-do [48] 100.0% [61] 1026(1.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [68] 80.5% f6 [74] 19.5% ----------------------------------------------------------------------- override-at-pnts [55] 24.6% best-and-tied-at-points [49] 75.4% [62] 820(1.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [69] 50.7% eval-prog [70] 49.3% ----------------------------------------------------------------------- for-loop [47] 100.0% [63] 220(0.3%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [71] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [49] 100.0% [64] 210(0.3%) 210(0.3%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- for-loop [53] 100.0% [65] 202(0.3%) 202(0.3%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ----------------------------------------------------------------------- *rules* [54] 100.0% [66] 202(0.3%) 202(0.3%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ----------------------------------------------------------------------- matcher [67] 50.0% for-loop [56] 50.0% [67] 202(0.3%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 matcher [67] 50.0% rewriter [44] 50.0% ----------------------------------------------------------------------- approximate9 [61] 100.0% [68] 826(1.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [72] 100.0% ----------------------------------------------------------------------- errors [62] 100.0% [69] 416(0.6%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [81] 100.0% ----------------------------------------------------------------------- errors [62] 100.0% [70] 404(0.6%) 404(0.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- curry* [63] 100.0% [71] 220(0.3%) 220(0.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------- for-loop [14] 5.8% ??? [78] 7.9% ??? [75] 11.0% ??? [76] 13.1% localize-error [23] 13.2% ??? [4] 22.5% loop [68] 26.7% [72] 1284(1.8%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [73] 22.5% f6 [74] 21.0% ??? [75] 18.8% simplify [12] 18.8% ??? [76] 13.1% ??? [5] 5.8% ----------------------------------------------------------------------- hash-ref! [72] 42.3% simplify [12] 57.7% [73] 1082(1.5%) 624(0.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [80] 42.3% ----------------------------------------------------------------------- simplify [12] 4.7% ??? [4] 4.7% approximate9 [61] 4.7% f6 [74] 14.2% map [77] 18.9% hash-ref! [72] 52.7% [74] 1060(1.5%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [77] 66.8% f6 [74] 14.2% taylor-quotient [6] 9.5% taylor-invert [7] 4.7% gather-multiplicative-terms [79] 4.7% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [75] 624(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [72] 67.6% ??? [78] 32.4% ----------------------------------------------------------------------- hash-ref! [72] 100.0% [76] 402(0.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [72] 100.0% ----------------------------------------------------------------------- f6 [74] 2.1% loop [60] 40.4% make-exacts* [59] 57.5% [77] 41276(57.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 99.0% f6 [74] 0.7% ??? [4] 0.2% ----------------------------------------------------------------------- ??? [75] 100.0% [78] 202(0.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [72] 100.0% ----------------------------------------------------------------------- f6 [74] 100.0% [79] 200(0.3%) 200(0.3%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- loop! [83] 0.0% atab-add-altn [40] 0.1% parse-loop12 [73] 0.1% make-exacts* [59] 0.1% for-loop [47] 0.3% extract-alt [17] 0.5% map [77] 0.9% loop [80] 98.0% [80] 64970(90.7%) 202(0.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 98.0% ??? [81] 1.0% simplify [3] 0.5% ??? [4] 0.1% loop [82] 0.1% loop! [83] 0.0% ??? [91] 0.0% ----------------------------------------------------------------------- for-loop [69] 0.7% loop [80] 99.3% [81] 63048(88.0%) 994(1.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 95.9% real->bigfloat [85] 2.5% ----------------------------------------------------------------------- loop [80] 2.0% loop [82] 98.0% [82] 222(0.3%) 222(0.3%) loop ...ket/collects/racket/private/list.rkt:82:16 loop [82] 98.0% ----------------------------------------------------------------------- for-loop [42] 33.3% loop [80] 66.7% [83] 214(0.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [80] 66.7% set [86] 33.3% ----------------------------------------------------------------------- ??? [81] 100.0% [84] 60492(84.5%) 656(0.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 87.7% bf* [89] 7.0% bfcube [87] 2.7% ...higher-order.rkt:373:33 [88] 0.8% ...ow-val-first.rkt:357:18 [90] 0.8% ----------------------------------------------------------------------- ??? [81] 100.0% [85] 1562(2.2%) 1562(2.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- loop! [83] 100.0% [86] 214(0.3%) 214(0.3%) set ...collects/racket/private/set-types.rkt:982:0 ----------------------------------------------------------------------- ??? [84] 100.0% [87] 1614(2.3%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [89] 86.6% ...ow-val-first.rkt:357:18 [90] 13.4% ----------------------------------------------------------------------- ??? [84] 100.0% [88] 480(0.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 100.0% ----------------------------------------------------------------------- bfcube [87] 24.8% ??? [84] 75.2% [89] 5634(7.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ----------------------------------------------------------------------- bfcube [87] 31.3% ??? [84] 68.7% [90] 690(1.0%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [92] 100.0% ----------------------------------------------------------------------- loop [80] 0.8% bf* [89] 9.5% ??? [84] 89.7% [91] 59124(82.6%) 51430(71.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [93] 8.8% ??? [95] 3.1% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [88] 41.0% ...ow-val-first.rkt:357:18 [90] 59.0% [92] 1170(1.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ----------------------------------------------------------------------- ??? [91] 100.0% [93] 5184(7.2%) 3596(5.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 30.6% ----------------------------------------------------------------------- ??? [92] 100.0% [94] 1170(1.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ----------------------------------------------------------------------- ??? [94] 39.2% ??? [91] 60.8% [95] 2984(4.2%) 432(0.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 85.5% ----------------------------------------------------------------------- bfmul [93] 100.0% [96] 1588(2.2%) 1588(2.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [95] 100.0% [97] 2552(3.6%) 1140(1.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [98] 55.3% ----------------------------------------------------------------------- ??? [97] 100.0% [98] 1412(2.0%) 1412(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------