Profiling results ----------------- Total cpu time observed: 8416ms (out of 8760ms) Number of samples taken: 38 (once every 221ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [42] 100.0% [1] 8216(97.6%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------- ??? [42] 100.0% [2] 4218(50.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 85.7% finalize-table! [11] 9.5% get-final-combination [15] 4.7% --------------------------------------------------------------------- ??? [42] 100.0% [3] 2730(32.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 66.8% for-loop [10] 25.2% loop [14] 8.0% --------------------------------------------------------------------- map [70] 46.7% loop [74] 53.3% [4] 428(5.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor-invert [16] 46.7% hash-ref! [71] 26.6% map [70] 26.6% --------------------------------------------------------------------- hash-ref! [71] 100.0% [5] 222(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [13] 100.0% --------------------------------------------------------------------- hash-ref! [71] 100.0% [6] 222(2.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 8216(97.6%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [42] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 3616(43.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [9] 1824(21.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [10] 688(8.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 402(4.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [20] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [12] 222(2.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [71] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [13] 222(2.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [71] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [14] 218(2.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 200(2.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [16] 200(2.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [19] 100.0% --------------------------------------------------------------------- for-loop [8] 100.0% [17] 3616(43.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [23] 75.5% localize-error [25] 6.3% finalize-iter! [26] 6.1% gen-series! [27] 6.1% gen-rewrites! [28] 5.9% --------------------------------------------------------------------- for-loop [10] 27.4% simplify-expr [9] 72.6% [18] 2512(29.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 92.0% map-enodes [29] 8.0% --------------------------------------------------------------------- taylor-invert [16] 47.4% hash-ref! [71] 52.6% [19] 422(5.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [67] 52.6% debug7 [30] 47.4% --------------------------------------------------------------------- finalize-table! [11] 100.0% [20] 402(4.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 localize-error [25] 50.2% for-loop [32] 49.8% --------------------------------------------------------------------- loop [14] 100.0% [21] 218(2.6%) 218(2.6%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 --------------------------------------------------------------------- get-final-combination [15] 100.0% [22] 200(2.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [31] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [23] 2730(32.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [33] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [24] 2310(27.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [34] 73.9% loop [35] 26.1% --------------------------------------------------------------------- post-process [20] 47.0% run-iter! [17] 53.0% [25] 430(5.1%) 202(2.4%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [71] 53.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [26] 222(2.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [36] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [27] 222(2.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [37] 100.0% --------------------------------------------------------------------- run-iter! [17] 100.0% [28] 214(2.5%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [38] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [29] 202(2.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 hash-keys [39] 100.0% --------------------------------------------------------------------- simplify [19] 100.0% [30] 200(2.4%) 200(2.4%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 --------------------------------------------------------------------- extract-alt [22] 100.0% [31] 200(2.4%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [40] 100.0% --------------------------------------------------------------------- post-process [20] 100.0% [32] 200(2.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [41] 100.0% --------------------------------------------------------------------- simplify! [23] 100.0% [33] 2730(32.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [42] 100.0% --------------------------------------------------------------------- for-loop [34] 43.4% one-iter [24] 56.6% [34] 1708(20.3%) 424(5.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [34] 43.4% match-e [48] 37.6% --------------------------------------------------------------------- one-iter [24] 100.0% [35] 602(7.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [43] 100.0% --------------------------------------------------------------------- finalize-iter! [26] 100.0% [36] 222(2.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [45] 100.0% --------------------------------------------------------------------- gen-series! [27] 100.0% [37] 222(2.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [44] 100.0% --------------------------------------------------------------------- gen-rewrites! [28] 100.0% [38] 214(2.5%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [46] 100.0% --------------------------------------------------------------------- map-enodes [29] 100.0% [39] 202(2.4%) 202(2.4%) hash-keys .../collects/racket/private/hash.rkt:2:2 --------------------------------------------------------------------- argmins [31] 100.0% [40] 200(2.4%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [62] 100.0% --------------------------------------------------------------------- for-loop [32] 100.0% [41] 200(2.4%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [44] 100.0% --------------------------------------------------------------------- for-loop [33] 11.2% run [7] 43.8% [42] 8416(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.8% loop [47] 24.9% run-improve58 [2] 20.0% simplify [3] 11.2% --------------------------------------------------------------------- loop [35] 100.0% [43] 602(7.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [77] 33.6% for-loop [52] 33.2% match-e [48] 33.2% --------------------------------------------------------------------- append-map [41] 47.4% for-loop [37] 52.6% [44] 422(5.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [49] 100.0% --------------------------------------------------------------------- ??? [36] 100.0% [45] 222(2.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [50] 100.0% --------------------------------------------------------------------- for-loop [38] 100.0% [46] 214(2.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 rewriter [51] 100.0% --------------------------------------------------------------------- ??? [42] 100.0% [47] 4198(49.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [60] 56.3% loop [53] 43.7% --------------------------------------------------------------------- for-loop [59] 6.7% apply-match [43] 6.7% for-loop [34] 86.5% [48] 1484(17.6%) 1084(12.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 loop [74] 13.5% for-loop [57] 13.5% for-loop [59] 6.7% --------------------------------------------------------------------- taylor-alt [44] 100.0% [49] 422(5.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [54] 100.0% --------------------------------------------------------------------- for-loop [45] 100.0% [50] 222(2.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [55] 100.0% --------------------------------------------------------------------- ??? [46] 100.0% [51] 214(2.5%) 0(0.0%) rewriter ...lock/herbie/src/core/matcher.rkt:123:2 for-loop [56] 100.0% --------------------------------------------------------------------- apply-match [43] 100.0% [52] 200(2.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [58] 100.0% --------------------------------------------------------------------- loop [47] 100.0% [53] 1834(21.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [61] 61.7% make-exacts* [60] 38.3% --------------------------------------------------------------------- location-do [54] 31.6% for-loop [49] 68.4% [54] 422(5.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [63] 68.4% location-do [54] 31.6% --------------------------------------------------------------------- atab-add-altn [50] 100.0% [55] 222(2.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [62] 100.0% --------------------------------------------------------------------- rewriter [51] 100.0% [56] 214(2.5%) 0(0.0%) for-loop ...ock/herbie/src/core/matcher.rkt:126:10 matcher [64] 100.0% --------------------------------------------------------------------- match-e [48] 100.0% [57] 200(2.4%) 200(2.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 --------------------------------------------------------------------- for-loop [52] 100.0% [58] 200(2.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [65] 100.0% --------------------------------------------------------------------- match-e [48] 100.0% [59] 200(2.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [48] 100.0% --------------------------------------------------------------------- loop [53] 22.9% loop [47] 77.1% [60] 3066(36.4%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [70] 52.9% loop [74] 47.1% --------------------------------------------------------------------- loop [53] 100.0% [61] 1132(13.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [70] 100.0% --------------------------------------------------------------------- composed [40] 47.4% best-and-tied-at-points [55] 52.6% [62] 422(5.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [66] 100.0% --------------------------------------------------------------------- location-do [54] 100.0% [63] 422(5.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [68] 52.6% f37 [67] 47.4% --------------------------------------------------------------------- for-loop [56] 100.0% [64] 214(2.5%) 0(0.0%) matcher ...tlock/herbie/src/core/matcher.rkt:159:2 for-loop [69] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [58] 100.0% [65] 200(2.4%) 200(2.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 --------------------------------------------------------------------- errors [62] 100.0% [66] 422(5.0%) 422(5.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 --------------------------------------------------------------------- f37 [67] 23.7% approximate9 [63] 23.7% simplify [19] 52.6% [67] 422(5.0%) 222(2.6%) f37 ...t/collects/racket/match/compiler.rkt:499:40 f37 [67] 23.7% map [70] 23.7% --------------------------------------------------------------------- approximate9 [63] 100.0% [68] 222(2.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [71] 100.0% --------------------------------------------------------------------- matcher [64] 100.0% [69] 214(2.5%) 214(2.5%) for-loop ...lock/herbie/src/core/matcher.rkt:143:6 --------------------------------------------------------------------- f37 [67] 6.3% ??? [4] 7.2% loop [61] 35.6% make-exacts* [60] 51.0% [70] 3182(37.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [74] 86.5% ->flonum [76] 7.2% ??? [4] 6.3% --------------------------------------------------------------------- for-loop [13] 12.3% for-loop [12] 12.3% ??? [73] 12.3% loop [68] 12.3% ??? [4] 25.3% localize-error [25] 25.3% [71] 450(5.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [72] 50.7% ??? [73] 12.3% ??? [6] 12.3% ??? [5] 12.3% simplify [19] 12.3% --------------------------------------------------------------------- hash-ref! [71] 100.0% [72] 228(2.7%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [74] 100.0% --------------------------------------------------------------------- hash-ref! [71] 100.0% [73] 222(2.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [71] 100.0% --------------------------------------------------------------------- make-exacts* [60] 0.1% map [70] 0.3% loop! [77] 0.4% parse-loop12 [72] 0.5% match-e [48] 4.1% loop [74] 94.6% [74] 4828(57.4%) 452(5.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [74] 94.6% ??? [4] 0.5% loop! [77] 0.4% ??? [75] 0.3% ->flonum [76] 0.0% --------------------------------------------------------------------- loop [74] 100.0% [75] 3694(43.9%) 228(2.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 56.3% real->bigfloat [79] 37.6% --------------------------------------------------------------------- map [70] 47.5% loop [74] 52.5% [76] 480(5.7%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [80] 52.5% ??? [89] 47.5% --------------------------------------------------------------------- loop [74] 50.0% apply-match [43] 50.0% [77] 202(2.4%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [74] 50.0% custom-set-union [81] 50.0% --------------------------------------------------------------------- ??? [75] 100.0% [78] 2078(24.7%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [82] 67.5% ...higher-order.rkt:373:33 [83] 32.5% --------------------------------------------------------------------- ??? [75] 100.0% [79] 1388(16.5%) 448(5.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [88] 67.7% --------------------------------------------------------------------- ->flonum [76] 100.0% [80] 252(3.0%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [88] 100.0% --------------------------------------------------------------------- loop! [77] 100.0% [81] 202(2.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [84] 100.0% --------------------------------------------------------------------- ??? [78] 100.0% [82] 1402(16.7%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [85] 67.0% bfneg [87] 17.0% ??? [89] 16.0% --------------------------------------------------------------------- ??? [78] 100.0% [83] 676(8.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [86] 100.0% --------------------------------------------------------------------- custom-set-union [81] 100.0% [84] 202(2.4%) 202(2.4%) for-loop ...cts/racket/private/set-types.rkt:152:2 --------------------------------------------------------------------- ??? [82] 100.0% [85] 940(11.2%) 940(11.2%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 --------------------------------------------------------------------- ...higher-order.rkt:373:33 [83]100.0% [86] 676(8.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% --------------------------------------------------------------------- ??? [82] 100.0% [87] 238(2.8%) 0(0.0%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [88] 100.0% --------------------------------------------------------------------- bfneg [87] 16.6% ??? [80] 17.6% real->bigfloat [79] 65.7% [88] 1430(17.0%) 1430(17.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [82] 19.9% ->flonum [76] 20.2% ??? [86] 59.9% [89] 1128(13.4%) 656(7.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [90] 41.8% --------------------------------------------------------------------- ??? [89] 100.0% [90] 472(5.6%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [91] 100.0% --------------------------------------------------------------------- ??? [90] 100.0% [91] 472(5.6%) 472(5.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------