Profiling results ----------------- Total cpu time observed: 19536ms (out of 19840ms) Number of samples taken: 84 (once every 233ms) ==================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ==================================================================== ??? [27] 100.0% [1] 19536(100.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% -------------------------------------------------------------------- ??? [27] 100.0% [2] 13064(66.9%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 92.0% get-final-combination [9] 4.6% setup-prog [10] 3.4% -------------------------------------------------------------------- f37 [78] 100.0% [3] 222(1.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [72] 100.0% -------------------------------------------------------------------- hash-ref! [65] 100.0% [4] 198(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% -------------------------------------------------------------------- hash-ref! [65] 100.0% [5] 198(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% -------------------------------------------------------------------- hash-ref! [65] 100.0% [6] 198(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [12] 100.0% -------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 19536(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [27] 100.0% -------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 12020(61.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% -------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 598(3.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% -------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 446(2.3%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [16] 100.0% -------------------------------------------------------------------- ??? [4] 100.0% [11] 198(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [65] 100.0% -------------------------------------------------------------------- ??? [6] 100.0% [12] 198(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [65] 100.0% -------------------------------------------------------------------- ??? [5] 100.0% [13] 198(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [17] 100.0% -------------------------------------------------------------------- for-loop [8] 100.0% [14] 12020(61.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 90.8% finalize-iter! [20] 5.7% gen-series! [21] 3.5% -------------------------------------------------------------------- get-final-combination [9] 100.0% [15] 598(3.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [86] 100.0% -------------------------------------------------------------------- setup-prog [10] 100.0% [16] 446(2.3%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [18] 100.0% -------------------------------------------------------------------- for-loop [13] 100.0% [17] 198(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [65] 100.0% -------------------------------------------------------------------- simplify-alt [16] 3.7% loop [86] 5.0% ??? [27] 91.3% [18] 11964(61.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [23] 84.3% for-loop [24] 8.7% iterate-egraph!5 [28] 7.1% -------------------------------------------------------------------- run-iter! [14] 100.0% [19] 10920(55.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [22] 100.0% -------------------------------------------------------------------- run-iter! [14] 100.0% [20] 680(3.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [25] 100.0% -------------------------------------------------------------------- run-iter! [14] 100.0% [21] 420(2.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [26] 100.0% -------------------------------------------------------------------- simplify! [19] 100.0% [22] 10920(55.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [27] 100.0% -------------------------------------------------------------------- simplify [18] 100.0% [23] 10080(51.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [28] 97.8% loop [31] 2.2% -------------------------------------------------------------------- simplify [18] 100.0% [24] 1038(5.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [28] 100.0% -------------------------------------------------------------------- finalize-iter! [20] 100.0% [25] 680(3.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 100.0% -------------------------------------------------------------------- gen-series! [21] 100.0% [26] 420(2.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% -------------------------------------------------------------------- for-loop [22] 18.6% run [7] 40.7% [27] 19536(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.7% run-improve58 [2] 24.1% simplify [18] 18.6% loop [33] 16.6% -------------------------------------------------------------------- simplify [18] 7.2% for-loop [24] 8.8% simplify-expr [23] 84.0% [28] 11744(60.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [32] 98.1% map-enodes [37] 1.9% -------------------------------------------------------------------- ??? [25] 100.0% [29] 680(3.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [34] 100.0% -------------------------------------------------------------------- for-loop [26] 100.0% [30] 420(2.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% -------------------------------------------------------------------- simplify-expr [23] 100.0% [31] 220(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [36] 100.0% -------------------------------------------------------------------- iterate-egraph!5 [28] 100.0% [32] 11524(59.0%) 220(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [38] 52.3% loop [39] 45.8% -------------------------------------------------------------------- ??? [27] 100.0% [33] 6472(33.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [46] 60.5% loop [40] 36.1% filter-exacts [43] 3.4% -------------------------------------------------------------------- for-loop [29] 100.0% [34] 680(3.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [41]100.0% -------------------------------------------------------------------- taylor-alt [30] 100.0% [35] 420(2.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [42] 100.0% -------------------------------------------------------------------- loop [31] 100.0% [36] 220(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [44] 100.0% -------------------------------------------------------------------- iterate-egraph!5 [28] 100.0% [37] 220(1.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [86] 100.0% -------------------------------------------------------------------- for-loop [38] 50.0% one-iter [32] 50.0% [38] 6030(30.9%) 1024(5.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [38] 50.0% match-e [51] 41.5% -------------------------------------------------------------------- one-iter [32] 100.0% [39] 5274(27.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [45] 100.0% -------------------------------------------------------------------- loop [33] 100.0% [40] 2334(11.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [47] 58.2% make-exacts* [46] 41.8% -------------------------------------------------------------------- atab-add-altn [34] 100.0% [41] 680(3.5%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [48] 100.0% -------------------------------------------------------------------- for-loop [35] 100.0% [42] 420(2.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [49] 100.0% -------------------------------------------------------------------- loop [33] 100.0% [43] 222(1.1%) 222(1.1%) filter-exacts ...tlock/herbie/src/points.rkt:108:0 -------------------------------------------------------------------- pass [36] 100.0% [44] 220(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [50] 100.0% -------------------------------------------------------------------- loop [39] 100.0% [45] 5274(27.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [52] 24.3% for-loop [53] 23.8% loop! [58] 20.6% match-e [51] 19.5% mk-enode! [68] 7.5% substitute-e [61] 4.2% -------------------------------------------------------------------- loop [40] 20.0% loop [33] 80.0% [46] 4892(25.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [83] 53.3% loop [86] 46.7% -------------------------------------------------------------------- loop [40] 100.0% [47] 1358(7.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [83] 100.0% -------------------------------------------------------------------- best-and-tied-at-points [41]100.0% [48] 680(3.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [54] 100.0% -------------------------------------------------------------------- location-do [42] 100.0% [49] 420(2.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [78] 52.9% loop [56] 47.1% -------------------------------------------------------------------- for-loop [44] 100.0% [50] 220(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [55] 100.0% -------------------------------------------------------------------- for-loop [66] 12.3% apply-match [45] 13.7% for-loop [38] 74.0% [51] 6034(30.9%) 3534(18.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [57] 30.5% loop [86] 7.2% for-loop [66] 6.9% constant? [62] 3.7% filter [63] 1.8% -------------------------------------------------------------------- apply-match [45] 100.0% [52] 1282(6.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [59] 34.2% enode-merge! [60] 33.1% loop! [58] 32.8% -------------------------------------------------------------------- apply-match [45] 100.0% [53] 1256(6.4%) 220(1.1%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 mk-enode! [68] 33.4% loop! [58] 33.3% substitute-e [61] 15.8% -------------------------------------------------------------------- errors [48] 100.0% [54] 680(3.5%) 680(3.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 -------------------------------------------------------------------- argmin [50] 100.0% [55] 220(1.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [64] 100.0% -------------------------------------------------------------------- approximate9 [49] 100.0% [56] 198(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 100.0% -------------------------------------------------------------------- match-e [51] 100.0% [57] 2262(11.6%) 1002(5.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [66] 37.2% list-cartesian-product [73] 18.5% -------------------------------------------------------------------- for-loop [53] 14.0% merge-egraph-nodes! [52] 16.6% loop [86] 18.7% apply-match [45] 50.7% [58] 1926(9.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [67] 55.0% loop [86] 30.1% update-en-expr [70] 11.0% set [74] 3.8% -------------------------------------------------------------------- merge-egraph-nodes! [52] 100.0% [59] 438(2.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [69] 100.0% -------------------------------------------------------------------- merge-egraph-nodes! [52] 100.0% [60] 424(2.2%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [71] 100.0% -------------------------------------------------------------------- for-loop [53] 47.1% apply-match [45] 52.9% [61] 420(2.1%) 198(1.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [68] 52.9% -------------------------------------------------------------------- match-e [51] 100.0% [62] 224(1.1%) 224(1.1%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 -------------------------------------------------------------------- match-e [51] 100.0% [63] 220(1.1%) 220(1.1%) filter ...t/collects/racket/private/list.rkt:256:2 -------------------------------------------------------------------- expression-cost [55] 100.0% [64] 220(1.1%) 220(1.1%) compile .../ztatlock/herbie/src/programs.rkt:189:0 -------------------------------------------------------------------- for-loop [17] 14.3% for-loop [12] 14.3% ??? [76] 14.3% ??? [75] 14.3% loop [56] 14.3% for-loop [11] 28.6% [65] 198(1.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 28.6% ??? [75] 14.3% ??? [76] 14.3% ??? [6] 14.3% ??? [5] 14.3% simplify [72] 14.3% -------------------------------------------------------------------- match-e [51] 43.1% for-loop [57] 56.9% [66] 1480(7.6%) 200(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [51] 93.2% -------------------------------------------------------------------- loop! [58] 100.0% [67] 1060(5.4%) 460(2.4%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [79] 38.1% for-loop [82] 18.5% -------------------------------------------------------------------- substitute-e [61] 21.3% apply-match [45] 38.3% for-loop [53] 40.4% [68] 1040(5.3%) 820(4.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [81] 21.2% -------------------------------------------------------------------- update-leader! [59] 100.0% [69] 438(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [77] 100.0% -------------------------------------------------------------------- loop! [58] 100.0% [70] 424(2.2%) 424(2.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 -------------------------------------------------------------------- enode-merge! [60] 100.0% [71] 424(2.2%) 424(2.2%) custom-set-intersect! ...ivate/set-types.rkt:270:0 -------------------------------------------------------------------- hash-ref! [65] 47.1% taylor-invert [3] 52.9% [72] 420(2.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 simplify-node [80] 52.9% f37 [78] 47.1% -------------------------------------------------------------------- for-loop [57] 100.0% [73] 418(2.1%) 418(2.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 -------------------------------------------------------------------- loop! [58] 100.0% [74] 222(1.1%) 222(1.1%) set ...collects/racket/private/set-types.rkt:982:0 -------------------------------------------------------------------- hash-ref! [65] 100.0% [75] 198(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [65] 100.0% -------------------------------------------------------------------- hash-ref! [65] 100.0% [76] 198(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [65] 100.0% -------------------------------------------------------------------- for-loop [69] 100.0% [77] 438(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [84] 100.0% -------------------------------------------------------------------- simplify [72] 9.4% f37 [78] 26.4% approximate9 [49] 26.4% map [83] 37.7% [78] 420(2.1%) 0(0.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [83] 47.1% f37 [78] 26.4% taylor-invert [3] 26.4% -------------------------------------------------------------------- custom-set-union [67] 100.0% [79] 404(2.1%) 202(1.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [85] 50.0% -------------------------------------------------------------------- simplify [72] 100.0% [80] 222(1.1%) 222(1.1%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 -------------------------------------------------------------------- mk-enode! [68] 100.0% [81] 220(1.1%) 220(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 -------------------------------------------------------------------- custom-set-union [67] 100.0% [82] 196(1.0%) 196(1.0%) for-loop ...cts/racket/private/set-types.rkt:152:2 -------------------------------------------------------------------- f37 [78] 4.8% loop [47] 32.6% make-exacts* [46] 62.6% [83] 4164(21.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [86] 95.2% f37 [78] 3.8% parse-loop50 [88] 1.0% -------------------------------------------------------------------- for-loop [77] 100.0% [84] 438(2.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [87] 100.0% -------------------------------------------------------------------- for-loop [79] 100.0% [85] 202(1.0%) 202(1.0%) for-loop ...cts/racket/private/set-types.rkt:178:5 -------------------------------------------------------------------- map [83] 0.6% map-enodes [37] 2.6% make-exacts* [46] 2.7% extract-alt [15] 4.0% match-e [51] 5.2% loop! [58] 6.1% loop [86] 78.8% [86] 8370(42.8%) 440(2.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [86] 78.8% simplify [18] 4.0% loop! [58] 3.5% ??? [89] 3.2% for-loop [92] 2.6% foldl [93] 2.6% ->flonum [91] 0.0% -------------------------------------------------------------------- hash-update! [84] 100.0% [87] 438(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [90] 100.0% -------------------------------------------------------------------- map [83] 100.0% [88] 198(1.0%) 198(1.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 -------------------------------------------------------------------- loop [86] 100.0% [89] 5984(30.6%) 554(2.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [94] 48.2% real->bigfloat [95] 34.0% ??? [96] 8.5% -------------------------------------------------------------------- ??? [87] 100.0% [90] 438(2.2%) 438(2.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 -------------------------------------------------------------------- loop [86] 100.0% [91] 266(1.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [97] 100.0% -------------------------------------------------------------------- loop [86] 100.0% [92] 220(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 compose [98] 100.0% -------------------------------------------------------------------- loop [86] 100.0% [93] 216(1.1%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [99] 100.0% -------------------------------------------------------------------- ??? [89] 100.0% [94] 2886(14.8%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [102] 90.6% bf* [101] 9.4% -------------------------------------------------------------------- ??? [89] 100.0% [95] 2036(10.4%) 1286(6.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 36.8% -------------------------------------------------------------------- ??? [89] 100.0% [96] 508(2.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [104] 100.0% -------------------------------------------------------------------- ->flonum [91] 100.0% [97] 266(1.4%) 266(1.4%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 -------------------------------------------------------------------- for-loop [92] 100.0% [98] 220(1.1%) 220(1.1%) compose ...collects/racket/private/list.rkt:385:12 -------------------------------------------------------------------- foldl [93] 100.0% [99] 216(1.1%) 216(1.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 -------------------------------------------------------------------- real->bigfloat [95] 100.0% [100] 750(3.8%) 750(3.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 -------------------------------------------------------------------- ??? [94] 100.0% [101] 270(1.4%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [102] 100.0% -------------------------------------------------------------------- bf* [101] 9.4% ??? [94] 90.6% [102] 2886(14.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [103] 59.7% ??? [104] 31.3% bfneg [105] 9.0% -------------------------------------------------------------------- ??? [102] 100.0% [103] 1724(8.8%) 1724(8.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 -------------------------------------------------------------------- ??? [96] 36.0% ??? [102] 64.0% [104] 1410(7.2%) 508(2.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [106] 64.0% -------------------------------------------------------------------- ??? [102] 100.0% [105] 260(1.3%) 260(1.3%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 -------------------------------------------------------------------- ??? [104] 100.0% [106] 902(4.6%) 902(4.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 --------------------------------------------------------------------