Profiling results ----------------- Total cpu time observed: 15472ms (out of 15772ms) Number of samples taken: 66 (once every 234ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [24] 100.0% [1] 15052(97.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% --------------------------------------------------------------------- ??? [24] 100.0% [2] 6506(42.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 55.4% finalize-table! [8] 41.5% get-final-combination [10] 3.1% --------------------------------------------------------------------- post-process [12] 13.1% loop [69] 86.9% [3] 1348(8.7%) 200(1.3%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [33] 85.2% --------------------------------------------------------------------- hash-ref! [50] 100.0% [4] 606(3.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [9] 100.0% --------------------------------------------------------------------- f16 [59] 100.0% [5] 196(1.3%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [50] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 15052(97.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [24] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 3606(23.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 2698(17.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [12] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [9] 606(3.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [50] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 202(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [13] 100.0% --------------------------------------------------------------------- for-loop [7] 100.0% [11] 3606(23.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 58.5% finalize-iter! [16] 29.4% gen-series! [17] 12.1% --------------------------------------------------------------------- finalize-table! [8] 100.0% [12] 2698(17.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 loop [69] 43.4% for-loop [15] 42.6% ??? [20] 7.5% completely-simplify-alt [3] 6.5% --------------------------------------------------------------------- get-final-combination [10] 100.0% [13] 202(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [18] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [14] 2108(13.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [19] 100.0% --------------------------------------------------------------------- post-process [12] 100.0% [15] 1148(7.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [21] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [16] 1060(6.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% --------------------------------------------------------------------- run-iter! [11] 100.0% [17] 438(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [22] 100.0% --------------------------------------------------------------------- extract-alt [13] 100.0% [18] 202(1.3%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [23] 100.0% --------------------------------------------------------------------- simplify! [14] 100.0% [19] 2108(13.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [24] 100.0% --------------------------------------------------------------------- post-process [12] 16.0% finalize-iter! [16] 84.0% [20] 1262(8.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 82.6% atab-add-altns [27] 17.4% --------------------------------------------------------------------- for-loop [15] 100.0% [21] 1148(7.4%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [25] 100.0% --------------------------------------------------------------------- gen-series! [17] 100.0% [22] 438(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [25] 100.0% --------------------------------------------------------------------- argmins [18] 100.0% [23] 202(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [40] 100.0% --------------------------------------------------------------------- for-loop [19] 4.6% run [6] 47.0% [24] 15254(98.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.0% loop [28] 28.7% run-improve58 [2] 19.7% simplify [29] 4.6% --------------------------------------------------------------------- for-loop [22] 27.6% append-map [21] 72.4% [25] 1586(10.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [30] 100.0% --------------------------------------------------------------------- ??? [20] 100.0% [26] 1042(6.7%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [31] 100.0% --------------------------------------------------------------------- ??? [20] 100.0% [27] 220(1.4%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [31] 100.0% --------------------------------------------------------------------- ??? [24] 100.0% [28] 8748(56.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [36] 51.0% loop [32] 49.0% --------------------------------------------------------------------- ??? [24] 100.0% [29] 2108(13.6%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [33] 57.8% iterate-egraph!5 [38] 42.2% --------------------------------------------------------------------- taylor-alt [25] 100.0% [30] 1586(10.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [34] 100.0% --------------------------------------------------------------------- atab-add-altns [27] 17.4% for-loop [26] 82.6% [31] 1262(8.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [35] 100.0% --------------------------------------------------------------------- loop [28] 100.0% [32] 4286(27.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [37] 81.8% make-exacts* [36] 18.2% --------------------------------------------------------------------- completely-simplify-alt [3] 48.5% simplify [29] 51.5% [33] 2366(15.3%) 200(1.3%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [38] 91.5% --------------------------------------------------------------------- location-do [34] 27.2% for-loop [30] 72.8% [34] 1586(10.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [39] 72.8% location-do [34] 27.2% --------------------------------------------------------------------- atab-add-altn [31] 100.0% [35] 1262(8.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [40] 67.5% for-loop [41] 32.5% --------------------------------------------------------------------- loop [32] 14.9% loop [28] 85.1% [36] 5244(33.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [64] 51.8% loop [69] 48.2% --------------------------------------------------------------------- loop [32] 100.0% [37] 3504(22.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [64] 100.0% --------------------------------------------------------------------- simplify [29] 29.1% simplify-expr [33] 70.9% [38] 3056(19.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [42] 92.9% map-enodes [45] 7.1% --------------------------------------------------------------------- location-do [34] 100.0% [39] 1586(10.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [43] 63.6% taylor-sqrt [47] 12.4% f16 [59] 12.4% taylor [48] 11.7% --------------------------------------------------------------------- composed [23] 19.2% best-and-tied-at-points [35] 80.8% [40] 1054(6.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [44] 80.8% eval-prog [46] 19.2% --------------------------------------------------------------------- best-and-tied-at-points [35] 100.0% [41] 410(2.6%) 410(2.6%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- iterate-egraph!5 [38] 100.0% [42] 2840(18.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [49] 60.2% loop [51] 20.1% apply-match [54] 19.6% --------------------------------------------------------------------- approximate9 [39] 100.0% [43] 1008(6.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [50] 100.0% --------------------------------------------------------------------- errors [40] 100.0% [44] 852(5.5%) 448(2.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [75] 47.4% --------------------------------------------------------------------- iterate-egraph!5 [38] 100.0% [45] 216(1.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [69] 100.0% --------------------------------------------------------------------- errors [40] 100.0% [46] 202(1.3%) 202(1.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- approximate9 [39] 100.0% [47] 196(1.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [50] 100.0% --------------------------------------------------------------------- approximate9 [39] 100.0% [48] 186(1.2%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [52] 100.0% --------------------------------------------------------------------- for-loop [49] 50.0% one-iter [42] 50.0% [49] 1710(11.1%) 194(1.3%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [49] 50.0% match-e [58] 44.3% --------------------------------------------------------------------- taylor-sqrt [47] 7.0% ??? [56] 12.3% loop [5] 14.0% for-loop [9] 15.5% ??? [55] 25.6% loop [43] 25.6% [50] 1400(9.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [53] 39.6% ??? [55] 25.6% ??? [4] 15.5% ??? [56] 12.3% ??? [57] 7.0% --------------------------------------------------------------------- one-iter [42] 100.0% [51] 572(3.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [54] 100.0% --------------------------------------------------------------------- taylor [48] 100.0% [52] 186(1.2%) 186(1.2%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 --------------------------------------------------------------------- hash-ref! [50] 100.0% [53] 1204(7.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [59] 65.9% parse-loop50 [70] 34.1% --------------------------------------------------------------------- one-iter [42] 49.4% loop [51] 50.6% [54] 1130(7.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [58] 31.3% merge-egraph-nodes! [60] 19.3% reduce-to-single! [61] 17.9% loop! [62] 15.8% mk-enode! [63] 15.8% --------------------------------------------------------------------- hash-ref! [50] 100.0% [55] 1008(6.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [50] 100.0% --------------------------------------------------------------------- hash-ref! [50] 100.0% [56] 570(3.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [50] 100.0% --------------------------------------------------------------------- hash-ref! [50] 100.0% [57] 196(1.3%) 196(1.3%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 --------------------------------------------------------------------- apply-match [54] 18.9% for-loop [49] 81.1% [58] 1870(12.1%) 1516(9.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 loop [69] 9.5% for-loop [68] 9.4% --------------------------------------------------------------------- approximate9 [39] 4.0% f16 [59] 7.9% parse-loop50 [70] 24.4% map [64] 26.5% simplify [53] 37.2% [59] 992(6.4%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [64] 88.1% f16 [59] 7.9% loop [5] 4.0% --------------------------------------------------------------------- apply-match [54] 100.0% [60] 218(1.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [65] 100.0% --------------------------------------------------------------------- apply-match [54] 100.0% [61] 202(1.3%) 202(1.3%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 --------------------------------------------------------------------- apply-match [54] 100.0% [62] 178(1.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 set [66] 100.0% --------------------------------------------------------------------- apply-match [54] 100.0% [63] 178(1.2%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [67] 100.0% --------------------------------------------------------------------- f16 [59] 13.8% make-exacts* [36] 37.7% loop [37] 48.6% [64] 7212(46.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [69] 86.2% parse-loop50 [70] 8.0% f16 [59] 4.5% ??? [71] 1.2% --------------------------------------------------------------------- merge-egraph-nodes! [60] 100.0% [65] 218(1.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 custom-set-union! [72] 100.0% --------------------------------------------------------------------- loop! [62] 100.0% [66] 178(1.2%) 178(1.2%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- mk-enode! [63] 100.0% [67] 178(1.2%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 check-valid-enode5 [73] 100.0% --------------------------------------------------------------------- match-e [58] 100.0% [68] 176(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [74] 100.0% --------------------------------------------------------------------- make-exacts* [36] 0.0% match-e [58] 0.4% map [64] 0.5% post-process [12] 1.0% map-enodes [45] 1.1% loop [69] 97.0% [69] 10136(65.5%) 404(2.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [69] 97.0% for-loop [76] 1.1% completely-simplify-alt [3] 1.0% ??? [75] 0.5% --------------------------------------------------------------------- parse-loop50 [70] 6.4% simplify [53] 27.1% map [64] 66.4% [70] 1024(6.6%) 634(4.1%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 f16 [59] 23.8% simplify-node [77] 20.7% parse-loop50 [70] 6.4% --------------------------------------------------------------------- map [64] 100.0% [71] 358(2.3%) 180(1.2%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [78] 49.7% --------------------------------------------------------------------- update-leader! [65] 100.0% [72] 218(1.4%) 218(1.4%) custom-set-union! ...t/private/set-types.rkt:246:0 --------------------------------------------------------------------- new-enode [67] 100.0% [73] 178(1.2%) 178(1.2%) check-valid-enode5 ...bie/src/core/enode.rkt:177:0 --------------------------------------------------------------------- list-cartesian-product [74] 50.0% for-loop [68] 50.0% [74] 176(1.1%) 176(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [74] 50.0% --------------------------------------------------------------------- for-loop [44] 4.5% loop [69] 95.5% [75] 8926(57.7%) 240(1.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [79] 73.9% real->bigfloat [80] 20.9% ??? [92] 2.6% --------------------------------------------------------------------- loop [69] 100.0% [76] 216(1.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [81] 100.0% --------------------------------------------------------------------- parse-loop50 [70] 100.0% [77] 212(1.4%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 combine-aterms [82] 100.0% --------------------------------------------------------------------- ??? [71] 100.0% [78] 178(1.2%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [83] 100.0% --------------------------------------------------------------------- ??? [75] 100.0% [79] 6592(42.6%) 404(2.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 71.3% bfcube [84] 10.9% bf* [88] 8.3% ...ow-val-first.rkt:357:18 [85] 3.3% --------------------------------------------------------------------- ??? [75] 100.0% [80] 1862(12.0%) 1862(12.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 --------------------------------------------------------------------- for-loop [76] 100.0% [81] 216(1.4%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [86] 100.0% --------------------------------------------------------------------- simplify-node [77] 100.0% [82] 212(1.4%) 0(0.0%) combine-aterms ...herbie/src/core/reduce.rkt:174:0 for-loop [87] 100.0% --------------------------------------------------------------------- for-loop [78] 100.0% [83] 178(1.2%) 178(1.2%) pattern-match .../herbie/src/core/matcher.rkt:47:0 --------------------------------------------------------------------- ??? [79] 100.0% [84] 720(4.7%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [88] 100.0% --------------------------------------------------------------------- ??? [79] 100.0% [85] 220(1.4%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [89] 100.0% --------------------------------------------------------------------- eval-const-expr [81] 100.0% [86] 216(1.4%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [90] 100.0% --------------------------------------------------------------------- combine-aterms [82] 100.0% [87] 212(1.4%) 212(1.4%) for-loop ...tlock/herbie/src/core/reduce.rkt:176:4 --------------------------------------------------------------------- ??? [79] 43.3% bfcube [84] 56.7% [88] 1270(8.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% --------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [85]100.0% [89] 220(1.4%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% --------------------------------------------------------------------- inductor [90] 50.0% expression-induct31 [86] 50.0% [90] 216(1.4%) 216(1.4%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [90] 50.0% --------------------------------------------------------------------- bf* [88] 21.3% ??? [79] 78.7% [91] 5968(38.6%) 1674(10.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfatan2 [93] 33.0% bfcbrt [95] 22.7% ??? [94] 16.3% --------------------------------------------------------------------- ??? [89] 48.7% ??? [75] 51.3% [92] 452(2.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% --------------------------------------------------------------------- ??? [91] 100.0% [93] 1970(12.7%) 1734(11.2%) bfatan2 ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 12.0% --------------------------------------------------------------------- ??? [92] 31.8% ??? [91] 68.2% [94] 1422(9.2%) 1202(7.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [97] 15.5% --------------------------------------------------------------------- ??? [91] 100.0% [95] 1354(8.8%) 246(1.6%) bfcbrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 81.8% --------------------------------------------------------------------- bfatan2 [93] 17.6% bfcbrt [95] 82.4% [96] 1344(8.7%) 1344(8.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [94] 100.0% [97] 220(1.4%) 220(1.4%) ??? ...llects/racket/contract/combinator.rkt:178:4 ---------------------------------------------------------------------