Profiling results ----------------- Total cpu time observed: 16934ms (out of 17272ms) Number of samples taken: 88 (once every 192ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [26] 100.0% [1] 16784(99.1%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [2] 10522(62.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 91.8% get-final-combination [10] 6.3% setup-prog [11] 1.9% ---------------------------------------------------------------------- simplify-alt [15] 2.1% loop [53] 7.0% ??? [26] 90.9% [3] 9430(55.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 59.2% for-loop [9] 30.4% iterate-egraph!5 [13] 10.4% ---------------------------------------------------------------------- hash-ref! [55] 20.0% f94 [4] 80.0% [4] 198(1.2%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 f94 [4] 80.0% map [48] 20.0% ---------------------------------------------------------------------- hash-ref! [55] 100.0% [5] 176(1.0%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [53] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 16784(99.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [26] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 9662(57.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [12] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 5580(33.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [13] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 2866(16.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [13] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 660(3.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [14] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 200(1.2%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [15] 100.0% ---------------------------------------------------------------------- for-loop [7] 100.0% [12] 9662(57.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 88.7% finalize-iter! [19] 5.6% gen-series! [20] 3.9% choose-best-alt! [21] 1.8% ---------------------------------------------------------------------- simplify [3] 10.4% for-loop [9] 30.4% simplify-expr [8] 59.2% [13] 9430(55.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [17] 88.1% map-enodes [18] 11.9% ---------------------------------------------------------------------- get-final-combination [10] 100.0% [14] 660(3.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [53] 100.0% ---------------------------------------------------------------------- setup-prog [11] 100.0% [15] 200(1.2%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [3] 100.0% ---------------------------------------------------------------------- run-iter! [12] 100.0% [16] 8570(50.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [22] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [17] 8306(49.0%) 406(2.4%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [23] 52.0% loop [24] 36.2% apply-match [27] 7.0% ---------------------------------------------------------------------- iterate-egraph!5 [13] 100.0% [18] 1124(6.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [53] 100.0% ---------------------------------------------------------------------- run-iter! [12] 100.0% [19] 540(3.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [72] 100.0% ---------------------------------------------------------------------- run-iter! [12] 100.0% [20] 374(2.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ---------------------------------------------------------------------- run-iter! [12] 100.0% [21] 178(1.1%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [72] 100.0% ---------------------------------------------------------------------- simplify! [16] 100.0% [22] 8570(50.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [26] 100.0% ---------------------------------------------------------------------- for-loop [23] 48.1% one-iter [17] 51.9% [23] 4316(25.5%) 1900(11.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 48.1% match-e [30] 28.0% ---------------------------------------------------------------------- one-iter [17] 100.0% [24] 3004(17.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [27] 100.0% ---------------------------------------------------------------------- gen-series! [20] 100.0% [25] 374(2.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% ---------------------------------------------------------------------- for-loop [22] 16.9% run [6] 41.1% [26] 16934(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.1% run-improve58 [2] 23.1% loop [29] 18.9% simplify [3] 16.9% ---------------------------------------------------------------------- one-iter [17] 16.2% loop [24] 83.8% [27] 3584(21.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [35] 25.5% match-e [30] 24.6% for-loop [31] 23.2% update-leader! [40] 10.9% loop! [59] 10.2% mk-enode! [44] 5.6% ---------------------------------------------------------------------- for-loop [25] 100.0% [28] 374(2.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [32] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [29] 6412(37.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [33] 51.3% make-exacts* [38] 48.7% ---------------------------------------------------------------------- for-loop [41] 8.6% apply-match [27] 20.9% for-loop [23] 70.5% [30] 3298(19.5%) 1996(11.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [34] 32.4% list-cartesian-product [42] 9.9% for-loop [41] 3.0% ---------------------------------------------------------------------- apply-match [27] 100.0% [31] 832(4.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [59] 56.5% merge-egraph-nodes! [35] 24.3% substitute-e [37] 19.2% ---------------------------------------------------------------------- taylor-alt [28] 100.0% [32] 374(2.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [36] 100.0% ---------------------------------------------------------------------- loop [29] 100.0% [33] 3288(19.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [39] 70.0% make-exacts* [38] 30.0% ---------------------------------------------------------------------- match-e [30] 100.0% [34] 1162(6.9%) 606(3.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [41] 23.9% list-cartesian-product [42] 16.4% loop [53] 15.5% ---------------------------------------------------------------------- merge-egraph-nodes! [35] 6.8% for-loop [47] 8.8% for-loop [31] 18.1% apply-match [27] 66.3% [35] 1116(6.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [40] 39.8% for-loop [45] 18.1% for-loop [46] 17.7% for-loop [47] 17.6% merge-egraph-nodes! [35] 6.8% ---------------------------------------------------------------------- location-do [36] 23.5% for-loop [32] 76.5% [36] 374(2.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [43] 76.5% location-do [36] 23.5% ---------------------------------------------------------------------- for-loop [31] 100.0% [37] 160(0.9%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [44] 100.0% ---------------------------------------------------------------------- loop [33] 24.0% loop [29] 76.0% [38] 4110(24.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [53] 56.2% map [48] 43.8% ---------------------------------------------------------------------- loop [33] 100.0% [39] 2302(13.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [48] 100.0% ---------------------------------------------------------------------- apply-match [27] 42.9% merge-egraph-nodes! [35] 57.1% [40] 910(5.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [49] 100.0% ---------------------------------------------------------------------- match-e [30] 28.6% for-loop [34] 71.4% [41] 518(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [30] 100.0% ---------------------------------------------------------------------- for-loop [34] 18.4% list-cartesian-product [42] 35.7% match-e [30] 45.9% [42] 516(3.0%) 148(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [42] 35.7% for-loop [51] 35.7% ---------------------------------------------------------------------- location-do [36] 100.0% [43] 374(2.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [50] 100.0% ---------------------------------------------------------------------- substitute-e [37] 44.2% apply-match [27] 55.8% [44] 362(2.1%) 160(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [52] 55.8% ---------------------------------------------------------------------- merge-egraph-nodes! [35] 100.0% [45] 202(1.2%) 202(1.2%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- merge-egraph-nodes! [35] 100.0% [46] 198(1.2%) 198(1.2%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- merge-egraph-nodes! [35] 100.0% [47] 196(1.2%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [35] 50.0% loop! [59] 50.0% ---------------------------------------------------------------------- f94 [4] 4.6% make-exacts* [38] 41.9% loop [39] 53.5% [48] 4302(25.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [53] 95.4% taylor-invert [56] 4.6% ---------------------------------------------------------------------- update-leader! [40] 100.0% [49] 910(5.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [54] 100.0% ---------------------------------------------------------------------- approximate9 [43] 100.0% [50] 374(2.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [55] 100.0% ---------------------------------------------------------------------- list-cartesian-product [42] 100.0% [51] 368(2.2%) 368(2.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- mk-enode! [44] 100.0% [52] 202(1.2%) 202(1.2%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- ??? [57] 0.0% map [48] 0.7% for-loop [34] 1.0% make-exacts* [38] 1.1% taylor [5] 1.9% loop! [59] 2.7% extract-alt [14] 4.5% map-enodes [18] 6.0% loop [53] 82.0% [53] 9106(53.8%) 542(3.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [53] 82.0% for-loop [58] 6.0% simplify [3] 4.5% loop! [59] 2.7% simplify [61] 1.9% ??? [57] 1.8% real->bigfloat [64] 0.0% ---------------------------------------------------------------------- for-loop [49] 100.0% [54] 910(5.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [60] 100.0% ---------------------------------------------------------------------- loop [50] 25.0% ??? [62] 75.0% [55] 374(2.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [62] 75.0% f94 [4] 13.2% taylor [5] 11.8% ---------------------------------------------------------------------- map [48] 100.0% [56] 198(1.2%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [61] 100.0% ---------------------------------------------------------------------- loop [53] 100.0% [57] 6218(36.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [63] 46.8% real->bigfloat [64] 33.9% loop [53] 9.9% ??? [83] 9.4% ---------------------------------------------------------------------- loop [53] 100.0% [58] 1124(6.6%) 936(5.5%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [69] 16.7% ---------------------------------------------------------------------- for-loop [47] 9.5% apply-match [27] 26.3% for-loop [31] 27.4% loop [53] 36.8% [59] 1030(6.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [67] 36.8% loop [53] 36.8% set [66] 26.4% ---------------------------------------------------------------------- for-loop [54] 100.0% [60] 910(5.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [65] 100.0% ---------------------------------------------------------------------- loop [53] 47.1% taylor-invert [56] 52.9% [61] 374(2.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug7 [68] 52.9% debug-print [70] 47.1% ---------------------------------------------------------------------- hash-ref! [55] 100.0% [62] 374(2.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [55] 100.0% ---------------------------------------------------------------------- ??? [57] 100.0% [63] 2912(17.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [71] 41.8% ??? [76] 34.1% ...higher-order.rkt:373:33 [74] 24.2% ---------------------------------------------------------------------- loop [53] 17.5% ??? [57] 82.5% [64] 2554(15.1%) 2554(15.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ---------------------------------------------------------------------- hash-update! [60] 100.0% [65] 910(5.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [73] 100.0% ---------------------------------------------------------------------- loop! [59] 100.0% [66] 544(3.2%) 544(3.2%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- loop! [59] 100.0% [67] 486(2.9%) 160(0.9%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [75] 67.1% ---------------------------------------------------------------------- simplify [61] 100.0% [68] 198(1.2%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [72] 100.0% ---------------------------------------------------------------------- for-loop [58] 100.0% [69] 188(1.1%) 188(1.1%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- simplify [61] 100.0% [70] 176(1.0%) 176(1.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- ??? [63] 100.0% [71] 1216(7.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [76] 100.0% ---------------------------------------------------------------------- choose-best-alt! [21] 19.4% debug7 [68] 21.6% finalize-iter! [19] 59.0% [72] 916(5.4%) 198(1.2%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [78] 59.0% atab-pick-alt8 [80] 19.4% ---------------------------------------------------------------------- ??? [65] 100.0% [73] 910(5.4%) 744(4.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [81] 18.2% ---------------------------------------------------------------------- ??? [63] 100.0% [74] 704(4.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [77] 100.0% ---------------------------------------------------------------------- custom-set-union [67] 100.0% [75] 326(1.9%) 148(0.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [79] 54.6% ---------------------------------------------------------------------- ??? [63] 44.9% bf* [71] 55.1% [76] 2208(13.0%) 392(2.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [82] 62.5% ??? [87] 10.4% bfsqr [85] 9.3% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [74]100.0% [77] 704(4.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [83] 100.0% ---------------------------------------------------------------------- ??? [72] 100.0% [78] 540(3.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [84] 100.0% ---------------------------------------------------------------------- for-loop [75] 100.0% [79] 178(1.1%) 178(1.1%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ??? [72] 100.0% [80] 178(1.1%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [86] 100.0% ---------------------------------------------------------------------- for-loop [73] 100.0% [81] 166(1.0%) 166(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- ??? [76] 100.0% [82] 1380(8.1%) 866(5.1%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 37.2% ---------------------------------------------------------------------- ??? [57] 45.3% ??? [77] 54.7% [83] 1288(7.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [87] 100.0% ---------------------------------------------------------------------- for-loop [78] 100.0% [84] 540(3.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [88] 100.0% ---------------------------------------------------------------------- ??? [76] 100.0% [85] 206(1.2%) 206(1.2%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ---------------------------------------------------------------------- atab-pick-alt8 [80] 100.0% [86] 178(1.1%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [90] 100.0% ---------------------------------------------------------------------- ??? [76] 15.2% ??? [83] 84.8% [87] 1518(9.0%) 760(4.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 49.9% ---------------------------------------------------------------------- atab-add-altn [84] 100.0% [88] 540(3.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [95] 100.0% ---------------------------------------------------------------------- bfdiv [82] 100.0% [89] 514(3.0%) 514(3.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [86] 100.0% [90] 178(1.1%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [92] 100.0% ---------------------------------------------------------------------- ??? [87] 100.0% [91] 758(4.5%) 174(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 77.0% ---------------------------------------------------------------------- best-alt [90] 100.0% [92] 178(1.1%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [94] 100.0% ---------------------------------------------------------------------- ??? [91] 100.0% [93] 584(3.4%) 584(3.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- loop [92] 100.0% [94] 178(1.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [95] 100.0% ---------------------------------------------------------------------- composed [94] 24.8% best-and-tied-at-points [88] 75.2% [95] 718(4.2%) 178(1.1%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [96] 50.4% for-loop [97] 24.8% ---------------------------------------------------------------------- errors [95] 100.0% [96] 362(2.1%) 174(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 go [98] 51.9% ---------------------------------------------------------------------- errors [95] 100.0% [97] 178(1.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [99] 100.0% ---------------------------------------------------------------------- eval-prog [96] 100.0% [98] 188(1.1%) 188(1.1%) go .../collects/racket/private/qq-and-or.rkt:50:20 ---------------------------------------------------------------------- for-loop [97] 100.0% [99] 178(1.1%) 178(1.1%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ----------------------------------------------------------------------