Profiling results ----------------- Total cpu time observed: 21480ms (out of 21704ms) Number of samples taken: 97 (once every 221ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 105 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [19] 100.0% [1] 19852(92.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [3] 100.0% ---------------------------------------------------------------------- ??? [19] 100.0% [2] 14624(68.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [4] 95.7% setup-prog [5] 2.9% get-final-combination [6] 1.4% ---------------------------------------------------------------------- profile-thunk14 [1] 98.9% [3] 20072(93.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [19] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [4] 13996(65.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [7] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 428(2.0%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [8] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 200(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [9] 100.0% ---------------------------------------------------------------------- for-loop [4] 100.0% [7] 13996(65.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [11] 91.4% finalize-iter! [12] 5.8% gen-series! [13] 2.9% ---------------------------------------------------------------------- setup-prog [5] 100.0% [8] 428(2.0%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [10] 100.0% ---------------------------------------------------------------------- get-final-combination [6] 100.0% [9] 200(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [61] 100.0% ---------------------------------------------------------------------- loop [61] 1.5% simplify-alt [8] 3.2% ??? [19] 95.3% [10] 13400(62.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [15] 80.3% for-loop [16] 13.5% iterate-egraph!5 [20] 6.2% ---------------------------------------------------------------------- run-iter! [7] 100.0% [11] 12790(59.5%) 220(1.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [14] 98.3% ---------------------------------------------------------------------- run-iter! [7] 100.0% [12] 806(3.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [17] 100.0% ---------------------------------------------------------------------- run-iter! [7] 100.0% [13] 400(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [18] 100.0% ---------------------------------------------------------------------- simplify! [11] 98.4% [14] 12772(59.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [19] 100.0% ---------------------------------------------------------------------- simplify [10] 100.0% [15] 10760(50.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 94.4% loop [22] 5.6% ---------------------------------------------------------------------- simplify [10] 100.0% [16] 1812(8.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [20] 100.0% ---------------------------------------------------------------------- finalize-iter! [12] 100.0% [17] 806(3.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [21] 100.0% ---------------------------------------------------------------------- gen-series! [13] 100.0% [18] 400(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [23] 100.0% ---------------------------------------------------------------------- for-loop [14] 21.4% run [3] 38.4% [19] 21480(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 37.4% run-improve58 [2] 25.7% simplify [10] 21.4% loop [25] 15.5% ---------------------------------------------------------------------- simplify [10] 6.5% for-loop [16] 14.2% simplify-expr [15] 79.4% [20] 12798(59.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 100.0% ---------------------------------------------------------------------- ??? [17] 100.0% [21] 806(3.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [26] 100.0% ---------------------------------------------------------------------- simplify-expr [15] 100.0% [22] 602(2.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [27] 100.0% ---------------------------------------------------------------------- for-loop [18] 100.0% [23] 400(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [28] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [24] 12798(59.6%) 624(2.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [29] 46.3% loop [30] 40.9% apply-match [35] 6.3% ---------------------------------------------------------------------- ??? [19] 100.0% [25] 6654(31.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [36] 63.3% loop [31] 36.7% ---------------------------------------------------------------------- for-loop [21] 100.0% [26] 806(3.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [32] 100.0% ---------------------------------------------------------------------- loop [22] 100.0% [27] 602(2.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [33] 100.0% ---------------------------------------------------------------------- taylor-alt [23] 100.0% [28] 400(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [34] 100.0% ---------------------------------------------------------------------- for-loop [29] 50.0% one-iter [24] 50.0% [29] 5930(27.6%) 1424(6.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [29] 50.0% match-e [43] 38.0% ---------------------------------------------------------------------- one-iter [24] 100.0% [30] 5240(24.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% ---------------------------------------------------------------------- loop [25] 100.0% [31] 2444(11.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [37] 61.0% make-exacts* [36] 39.0% ---------------------------------------------------------------------- atab-add-altn [26] 100.0% [32] 806(3.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [38] 75.2% for-loop [42] 24.8% ---------------------------------------------------------------------- pass [27] 100.0% [33] 602(2.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [39] 66.8% for-loop [41] 33.2% ---------------------------------------------------------------------- for-loop [28] 100.0% [34] 400(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [40] 100.0% ---------------------------------------------------------------------- one-iter [24] 13.3% loop [30] 86.7% [35] 6044(28.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [45] 46.6% loop! [72] 20.0% substitute-e [46] 10.1% for-loop [48] 6.7% mk-enode! [55] 6.7% match-e [43] 6.6% reduce-to-single! [49] 3.3% ---------------------------------------------------------------------- loop [31] 18.5% loop [25] 81.5% [36] 5164(24.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [44] 57.9% loop [61] 42.1% ---------------------------------------------------------------------- loop [31] 100.0% [37] 1490(6.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [44] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [32] 100.0% [38] 606(2.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [47] 100.0% ---------------------------------------------------------------------- for-loop [33] 100.0% [39] 402(1.9%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [50] 50.2% for-loop [51] 49.8% ---------------------------------------------------------------------- location-do [34] 100.0% [40] 400(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [95] 50.5% taylor-quotient [52] 49.5% ---------------------------------------------------------------------- for-loop [33] 100.0% [41] 200(0.9%) 200(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- best-and-tied-at-points [32] 100.0% [42] 200(0.9%) 200(0.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- apply-match [35] 8.2% for-loop [63] 14.6% for-loop [29] 77.3% [43] 4906(22.8%) 1648(7.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 41.4% for-loop [63] 12.6% list-cartesian-product [64] 8.2% constant? [59] 4.1% loop [61] 2.3% ---------------------------------------------------------------------- loop [37] 33.3% make-exacts* [36] 66.7% [44] 4478(20.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [61] 94.2% ??? [70] 5.8% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 3.6% apply-match [35] 96.4% [45] 2816(13.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [54] 71.4% enode-merge! [56] 14.3% loop! [72] 7.2% merge-egraph-nodes! [45] 3.6% for-loop [57] 3.6% ---------------------------------------------------------------------- substitute-e [46] 16.5% apply-match [35] 83.5% [46] 612(2.8%) 410(1.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [55] 33.0% substitute-e [46] 16.5% ---------------------------------------------------------------------- errors [38] 100.0% [47] 606(2.8%) 202(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [70] 66.7% ---------------------------------------------------------------------- apply-match [35] 100.0% [48] 404(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [55] 50.0% loop! [72] 50.0% ---------------------------------------------------------------------- apply-match [35] 100.0% [49] 202(0.9%) 202(0.9%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ---------------------------------------------------------------------- argmin [39] 100.0% [50] 202(0.9%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [58] 100.0% ---------------------------------------------------------------------- argmin [39] 100.0% [51] 200(0.9%) 200(0.9%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 ---------------------------------------------------------------------- approximate9 [40] 100.0% [52] 198(0.9%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [60] 100.0% ---------------------------------------------------------------------- match-e [43] 100.0% [53] 2434(11.3%) 1428(6.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [63] 24.9% loop [67] 8.3% loop [61] 8.2% list-cartesian-product [64] 8.2% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [54] 2010(9.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [62] 100.0% ---------------------------------------------------------------------- substitute-e [46] 25.1% for-loop [48] 25.1% apply-match [35] 49.9% [55] 806(3.8%) 402(1.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [65] 50.1% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [56] 402(1.9%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [68] 50.2% custom-set-intersect! [69] 49.8% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [57] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [72] 100.0% ---------------------------------------------------------------------- expression-cost [50] 100.0% [58] 202(0.9%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [66] 100.0% ---------------------------------------------------------------------- match-e [43] 100.0% [59] 200(0.9%) 200(0.9%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- taylor-quotient [52] 100.0% [60] 198(0.9%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [66] 100.0% ---------------------------------------------------------------------- make-exacts* [36] 0.1% for-loop [53] 0.8% extract-alt [9] 0.8% map [44] 1.4% match-e [43] 2.8% loop! [72] 3.8% loop [61] 90.2% [61] 8026(37.4%) 222(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [61] 90.2% loop! [72] 3.8% ->flonum [81] 1.3% simplify [10] 0.8% foldl [74] 0.8% ??? [70] 0.3% ---------------------------------------------------------------------- update-leader! [54] 100.0% [62] 2010(9.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [71] 100.0% ---------------------------------------------------------------------- for-loop [53] 43.1% match-e [43] 56.9% [63] 1634(7.6%) 404(1.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [43] 81.5% ---------------------------------------------------------------------- for-loop [53] 16.6% list-cartesian-product [64] 33.4% match-e [43] 50.0% [64] 602(2.8%) 602(2.8%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [64] 33.4% ---------------------------------------------------------------------- mk-enode! [55] 100.0% [65] 404(1.9%) 404(1.9%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- compile [58] 16.8% ??? [73] 33.7% first-nonzero-exp [60] 49.5% [66] 400(1.9%) 202(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [75] 49.5% ??? [73] 33.7% ---------------------------------------------------------------------- for-loop [53] 100.0% [67] 202(0.9%) 202(0.9%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- enode-merge! [56] 100.0% [68] 202(0.9%) 202(0.9%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ---------------------------------------------------------------------- enode-merge! [56] 100.0% [69] 200(0.9%) 200(0.9%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ---------------------------------------------------------------------- map [44] 3.8% for-loop [47] 5.9% loop [61] 90.3% [70] 6856(31.9%) 862(4.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [76] 54.0% real->bigfloat [78] 26.9% ??? [98] 3.5% ->flonum [81] 2.9% ---------------------------------------------------------------------- for-loop [62] 100.0% [71] 2010(9.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [77] 100.0% ---------------------------------------------------------------------- for-loop [48] 3.7% merge-egraph-nodes! [45] 5.6% for-loop [57] 11.1% loop [61] 35.2% apply-match [35] 44.4% [72] 1814(8.4%) 202(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [79] 38.9% loop [61] 35.2% set [80] 14.8% update-en-expr [83] 5.5% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [73] 202(0.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [66] 100.0% ---------------------------------------------------------------------- loop [61] 100.0% [74] 200(0.9%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [82] 100.0% ---------------------------------------------------------------------- hash-ref! [66] 100.0% [75] 198(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [84] 100.0% ---------------------------------------------------------------------- ??? [70] 100.0% [76] 3704(17.2%) 202(0.9%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 47.4% ...higher-order.rkt:373:33 [86] 26.9% bf* [87] 20.3% ---------------------------------------------------------------------- for-loop [71] 100.0% [77] 2010(9.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [85] 100.0% ---------------------------------------------------------------------- ??? [70] 100.0% [78] 1846(8.6%) 1606(7.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [102] 13.0% ---------------------------------------------------------------------- loop! [72] 100.0% [79] 806(3.8%) 202(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [88] 74.9% ---------------------------------------------------------------------- loop! [72] 100.0% [80] 606(2.8%) 606(2.8%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ??? [70] 50.0% loop [61] 50.0% [81] 404(1.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [90] 50.0% ??? [89] 50.0% ---------------------------------------------------------------------- foldl [74] 100.0% [82] 200(0.9%) 200(0.9%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- loop! [72] 100.0% [83] 200(0.9%) 200(0.9%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ??? [75] 100.0% [84] 198(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 simplify [91] 100.0% ---------------------------------------------------------------------- hash-update! [77] 100.0% [85] 2010(9.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [93] 100.0% ---------------------------------------------------------------------- ??? [76] 100.0% [86] 996(4.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [98] 71.9% ??? [96] 28.1% ---------------------------------------------------------------------- ??? [76] 100.0% [87] 752(3.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ---------------------------------------------------------------------- custom-set-union [79] 100.0% [88] 604(2.8%) 202(0.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [94] 66.6% ---------------------------------------------------------------------- ->flonum [81] 100.0% [89] 202(0.9%) 202(0.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ->flonum [81] 100.0% [90] 202(0.9%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [102] 100.0% ---------------------------------------------------------------------- for-loop [84] 100.0% [91] 198(0.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [95] 100.0% ---------------------------------------------------------------------- bf* [87] 30.0% ??? [76] 70.0% [92] 2506(11.7%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [97] 68.5% bfneg [99] 20.6% ??? [101] 10.9% ---------------------------------------------------------------------- ??? [85] 100.0% [93] 2010(9.4%) 2010(9.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- for-loop [88] 100.0% [94] 402(1.9%) 402(1.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- f37 [95] 25.2% approximate9 [40] 25.2% simplify [91] 49.5% [95] 400(1.9%) 198(0.9%) f37 ...t/collects/racket/match/compiler.rkt:499:40 f37 [95] 25.2% taylor-invert [100] 25.2% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [86]100.0% [96] 280(1.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [98] 100.0% ---------------------------------------------------------------------- ??? [92] 100.0% [97] 1716(8.0%) 1442(6.7%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [102] 16.0% ---------------------------------------------------------------------- ??? [70] 19.5% ??? [96] 22.6% ...higher-order.rkt:373:33 [86] 57.8% [98] 1238(5.8%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [101] 100.0% ---------------------------------------------------------------------- ??? [92] 100.0% [99] 516(2.4%) 516(2.4%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ---------------------------------------------------------------------- f37 [95] 100.0% [100] 202(0.9%) 202(0.9%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 ---------------------------------------------------------------------- ??? [92] 18.1% ??? [98] 81.9% [101] 1512(7.0%) 742(3.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [103] 50.9% ---------------------------------------------------------------------- ??? [90] 28.2% real->bigfloat [78] 33.5% bfmul [97] 38.3% [102] 716(3.3%) 716(3.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [101] 100.0% [103] 770(3.6%) 280(1.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [104] 63.6% ---------------------------------------------------------------------- ??? [103] 100.0% [104] 490(2.3%) 490(2.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------