Profiling results ----------------- Total cpu time observed: 22710ms (out of 23076ms) Number of samples taken: 96 (once every 237ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 101 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [24] 100.0% [1] 21912(96.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [5] 100.0% ----------------------------------------------------------------------- ??? [24] 100.0% [2] 12222(53.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [6] 96.4% setup-prog [7] 2.0% get-final-combination [9] 1.6% ----------------------------------------------------------------------- hash-ref! [76] 100.0% [3] 242(1.1%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [52] 100.0% ----------------------------------------------------------------------- location-do [40] 100.0% [4] 242(1.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [8] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [5] 21912(96.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [24] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [6] 11778(51.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 244(1.1%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [11] 100.0% ----------------------------------------------------------------------- approximate9 [4] 100.0% [8] 242(1.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [76] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 200(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [12] 100.0% ----------------------------------------------------------------------- for-loop [6] 100.0% [10] 11778(51.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [14] 92.5% finalize-iter! [15] 3.6% gen-series! [16] 2.1% gen-rewrites! [17] 1.9% ----------------------------------------------------------------------- setup-prog [7] 100.0% [11] 244(1.1%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [13] 100.0% ----------------------------------------------------------------------- get-final-combination [9] 100.0% [12] 200(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [58] 100.0% ----------------------------------------------------------------------- loop [58] 1.8% simplify-alt [11] 2.2% ??? [24] 96.1% [13] 11336(49.9%) 310(1.4%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [19] 55.2% iterate-egraph!5 [25] 21.8% for-loop [20] 20.3% ----------------------------------------------------------------------- run-iter! [10] 100.0% [14] 10892(48.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [18] 100.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [15] 422(1.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [21] 100.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [16] 242(1.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [22] 100.0% ----------------------------------------------------------------------- run-iter! [10] 100.0% [17] 222(1.0%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [23] 100.0% ----------------------------------------------------------------------- simplify! [14] 100.0% [18] 10892(48.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [24] 100.0% ----------------------------------------------------------------------- simplify [13] 100.0% [19] 6254(27.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [25] 96.5% loop [29] 3.5% ----------------------------------------------------------------------- simplify [13] 100.0% [20] 2304(10.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [25] 100.0% ----------------------------------------------------------------------- finalize-iter! [15] 100.0% [21] 422(1.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 100.0% ----------------------------------------------------------------------- gen-series! [16] 100.0% [22] 242(1.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [27] 100.0% ----------------------------------------------------------------------- gen-rewrites! [17] 100.0% [23] 222(1.0%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [28] 100.0% ----------------------------------------------------------------------- for-loop [18] 16.6% run [5] 40.8% [24] 22710(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.8% loop [31] 23.1% run-improve58 [2] 19.5% simplify [13] 16.6% ----------------------------------------------------------------------- for-loop [20] 21.3% simplify [13] 22.8% simplify-expr [19] 55.8% [25] 10808(47.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [30] 100.0% ----------------------------------------------------------------------- ??? [21] 100.0% [26] 422(1.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [32] 100.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [27] 242(1.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [33] 100.0% ----------------------------------------------------------------------- for-loop [23] 100.0% [28] 222(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [34] 100.0% ----------------------------------------------------------------------- simplify-expr [19] 100.0% [29] 218(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [35] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [25] 100.0% [30] 10808(47.6%) 402(1.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [36] 47.3% loop [37] 45.3% apply-match [45] 3.7% ----------------------------------------------------------------------- ??? [24] 100.0% [31] 10488(46.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [44] 63.0% loop [38] 37.0% ----------------------------------------------------------------------- for-loop [26] 100.0% [32] 422(1.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [39] 100.0% ----------------------------------------------------------------------- taylor-alt [27] 100.0% [33] 242(1.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [40] 100.0% ----------------------------------------------------------------------- ??? [28] 25.0% matcher [49] 75.0% [34] 222(1.0%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [42] 75.0% *rules* [41] 25.0% ----------------------------------------------------------------------- loop [29] 100.0% [35] 218(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [43] 100.0% ----------------------------------------------------------------------- for-loop [36] 48.0% one-iter [30] 52.0% [36] 5112(22.5%) 1018(4.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [36] 48.0% match-e [53] 40.0% ----------------------------------------------------------------------- one-iter [30] 100.0% [37] 4892(21.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [45] 100.0% ----------------------------------------------------------------------- loop [31] 100.0% [38] 3876(17.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [46] 63.0% make-exacts* [44] 37.0% ----------------------------------------------------------------------- atab-add-altn [32] 100.0% [39] 422(1.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [47] 52.6% for-loop [51] 47.4% ----------------------------------------------------------------------- for-loop [33] 20.0% location-do [40] 80.0% [40] 242(1.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [40] 80.0% approximate9 [4] 20.0% ----------------------------------------------------------------------- rewriter [34] 100.0% [41] 222(1.0%) 0(0.0%) *rules* ...tlock/herbie/src/syntax/rules.rkt:296:0 for-loop [48] 100.0% ----------------------------------------------------------------------- rewriter [34] 100.0% [42] 222(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [49] 100.0% ----------------------------------------------------------------------- pass [35] 100.0% [43] 218(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [50] 100.0% ----------------------------------------------------------------------- loop [38] 17.8% loop [31] 82.2% [44] 8048(35.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [58] 59.7% map [52] 40.3% ----------------------------------------------------------------------- one-iter [30] 7.6% loop [37] 92.4% [45] 5294(23.3%) 202(0.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [60] 32.1% for-loop [54] 23.9% match-e [53] 18.9% substitute-e [61] 7.9% loop! [68] 7.6% mk-enode! [69] 5.9% ----------------------------------------------------------------------- loop [38] 100.0% [46] 2440(10.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [52] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [47] 222(1.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [55] 100.0% ----------------------------------------------------------------------- *rules* [41] 100.0% [48] 222(1.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ormap [56] 100.0% ----------------------------------------------------------------------- matcher [49] 50.0% for-loop [42] 50.0% [49] 222(1.0%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 matcher [49] 50.0% rewriter [34] 50.0% ----------------------------------------------------------------------- for-loop [43] 100.0% [50] 218(1.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [57] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [39] 100.0% [51] 200(0.9%) 200(0.9%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- f94 [3] 4.1% loop [46] 41.2% make-exacts* [44] 54.7% [52] 5922(26.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [58] 91.7% ??? [65] 4.2% taylor [62] 4.1% ----------------------------------------------------------------------- apply-match [45] 15.1% for-loop [66] 17.0% for-loop [36] 68.0% [53] 5094(22.4%) 2488(11.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [59] 54.0% list-cartesian-product [70] 4.0% for-loop [66] 2.4% ----------------------------------------------------------------------- apply-match [45] 100.0% [54] 1264(5.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [68] 49.7% substitute-e [61] 34.5% merge-egraph-nodes! [60] 15.8% ----------------------------------------------------------------------- errors [47] 100.0% [55] 222(1.0%) 222(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ----------------------------------------------------------------------- for-loop [48] 100.0% [56] 222(1.0%) 0(0.0%) ormap ...et/collects/racket/private/map.rkt:106:13 ??? [63] 100.0% ----------------------------------------------------------------------- argmin [50] 100.0% [57] 218(1.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [64] 100.0% ----------------------------------------------------------------------- ??? [65] 0.0% make-exacts* [44] 0.1% map [52] 0.5% loop! [68] 0.6% extract-alt [12] 0.9% for-loop [59] 1.8% loop [58] 96.1% [58] 11260(49.6%) 750(3.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [58] 96.1% simplify [13] 0.9% loop! [68] 0.6% ??? [65] 0.6% ??? [92] 0.0% real->bigfloat [73] 0.0% ----------------------------------------------------------------------- match-e [53] 100.0% [59] 3226(14.2%) 802(3.5%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [66] 50.3% list-cartesian-product [70] 15.5% loop [58] 6.2% foldl [71] 6.2% ----------------------------------------------------------------------- for-loop [54] 10.5% apply-match [45] 89.5% [60] 1898(8.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [67] 88.3% loop! [68] 11.7% ----------------------------------------------------------------------- substitute-e [61] 13.8% for-loop [54] 37.1% apply-match [45] 49.1% [61] 856(3.8%) 236(1.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [69] 72.4% substitute-e [61] 13.8% ----------------------------------------------------------------------- map [52] 100.0% [62] 242(1.1%) 242(1.1%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 ----------------------------------------------------------------------- ormap [56] 100.0% [63] 222(1.0%) 222(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- expression-cost [57] 100.0% [64] 218(1.0%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [76] 100.0% ----------------------------------------------------------------------- map [52] 2.4% loop [58] 97.6% [65] 10488(46.2%) 768(3.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [72] 50.9% real->bigfloat [73] 19.5% ??? [92] 12.2% loop [58] 10.1% ----------------------------------------------------------------------- match-e [53] 11.8% for-loop [59] 88.2% [66] 2066(9.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [53] 80.4% ??? [78] 19.6% ----------------------------------------------------------------------- merge-egraph-nodes! [60] 100.0% [67] 1676(7.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [74] 76.1% hash-ref! [76] 11.9% update-en-expr [75] 11.9% ----------------------------------------------------------------------- merge-egraph-nodes! [60] 17.8% apply-match [45] 24.0% loop [58] 24.9% for-loop [54] 33.4% [68] 1250(5.5%) 206(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [77] 33.8% loop [58] 24.9% update-en-expr [75] 24.9% ----------------------------------------------------------------------- apply-match [45] 33.3% substitute-e [61] 66.7% [69] 930(4.1%) 730(3.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [79] 21.5% ----------------------------------------------------------------------- list-cartesian-product [70] 25.0% match-e [53] 25.2% for-loop [59] 49.8% [70] 800(3.5%) 800(3.5%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [70] 25.0% ----------------------------------------------------------------------- for-loop [59] 100.0% [71] 200(0.9%) 200(0.9%) foldl ...et/collects/racket/private/list.rkt:229:4 ----------------------------------------------------------------------- ??? [65] 100.0% [72] 5334(23.5%) 250(1.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [80] 86.7% ...higher-order.rkt:373:33 [82] 8.7% ----------------------------------------------------------------------- loop [58] 12.0% ??? [65] 88.0% [73] 2326(10.2%) 1548(6.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 33.4% ----------------------------------------------------------------------- update-leader! [67] 100.0% [74] 1276(5.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [81] 100.0% ----------------------------------------------------------------------- update-leader! [67] 24.3% loop! [68] 75.7% [75] 822(3.6%) 822(3.6%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- compile [64] 11.0% loop [8] 12.2% ??? [86] 22.0% ??? [85] 24.4% update-leader! [67] 30.3% [76] 660(2.9%) 418(1.8%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [85] 24.4% ??? [86] 22.0% f94 [3] 12.2% ----------------------------------------------------------------------- loop! [68] 100.0% [77] 422(1.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [83] 100.0% ----------------------------------------------------------------------- for-loop [66] 100.0% [78] 404(1.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [84] 100.0% ----------------------------------------------------------------------- mk-enode! [69] 100.0% [79] 200(0.9%) 200(0.9%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 ----------------------------------------------------------------------- ??? [72] 100.0% [80] 4622(20.4%) 1176(5.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [87] 36.9% bfexpm1 [89] 27.4% ??? [95] 10.3% ----------------------------------------------------------------------- for-loop [74] 100.0% [81] 1276(5.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [88] 100.0% ----------------------------------------------------------------------- ??? [72] 100.0% [82] 462(2.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 100.0% ----------------------------------------------------------------------- custom-set-union [77] 100.0% [83] 422(1.9%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [91] 100.0% ----------------------------------------------------------------------- ??? [78] 100.0% [84] 404(1.8%) 404(1.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- hash-ref! [76] 100.0% [85] 242(1.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [76] 100.0% ----------------------------------------------------------------------- hash-ref! [76] 100.0% [86] 218(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [76] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [87] 1704(7.5%) 802(3.5%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 52.9% ----------------------------------------------------------------------- for-loop [81] 100.0% [88] 1276(5.6%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [94] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [89] 1268(5.6%) 1062(4.7%) bfexpm1 ...ib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 16.2% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [82]100.0% [90] 462(2.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 100.0% ----------------------------------------------------------------------- for-loop [83] 100.0% [91] 422(1.9%) 422(1.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- loop [58] 11.9% ??? [90] 23.4% ??? [65] 64.7% [92] 1972(8.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [95] 100.0% ----------------------------------------------------------------------- bfexpm1 [89] 10.9% real->bigfloat [73] 41.3% bfadd [87] 47.8% [93] 1886(8.3%) 1886(8.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- hash-update! [88] 100.0% [94] 1276(5.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [96] 84.3% make-sequence [97] 15.7% ----------------------------------------------------------------------- ??? [80] 19.4% ??? [92] 80.6% [95] 2446(10.8%) 1174(5.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 42.4% ??? [99] 9.6% ----------------------------------------------------------------------- ??? [94] 100.0% [96] 1076(4.7%) 1076(4.7%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- ??? [94] 100.0% [97] 200(0.9%) 200(0.9%) make-sequence ...ects/racket/private/for.rkt:508:2 ----------------------------------------------------------------------- ??? [95] 100.0% [98] 1038(4.6%) 1038(4.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 ----------------------------------------------------------------------- ??? [95] 100.0% [99] 234(1.0%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [100] 100.0% ----------------------------------------------------------------------- ??? [99] 100.0% [100] 234(1.0%) 234(1.0%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -----------------------------------------------------------------------