Profiling results ----------------- Total cpu time observed: 22758ms (out of 23148ms) Number of samples taken: 101 (once every 225ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 102 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [30] 100.0% [1] 22166(97.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ---------------------------------------------------------------------- ??? [30] 100.0% [2] 13250(58.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 98.5% get-final-combination [12] 1.5% ---------------------------------------------------------------------- loop [80] 1.8% ??? [30] 98.2% [3] 11170(49.1%) 220(1.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 58.4% for-loop [10] 29.2% iterate-egraph!5 [14] 10.5% ---------------------------------------------------------------------- f94 [77] 100.0% [4] 418(1.8%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [73] 100.0% ---------------------------------------------------------------------- f94 [77] 100.0% [5] 200(0.9%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [11] 100.0% ---------------------------------------------------------------------- loop [80] 100.0% [6] 196(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [70] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 22166(97.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 13054(57.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 6518(28.6%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 3264(14.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 93.9% loop [15] 6.1% ---------------------------------------------------------------------- taylor-sqrt [5] 100.0% [11] 200(0.9%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [70] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 196(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ---------------------------------------------------------------------- for-loop [8] 100.0% [13] 13054(57.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [17] 84.1% finalize-iter! [19] 6.3% gen-series! [20] 4.7% choose-best-alt! [21] 3.4% localize-error [23] 1.5% ---------------------------------------------------------------------- simplify [3] 10.9% for-loop [10] 28.5% simplify-expr [9] 60.6% [14] 10750(47.2%) 392(1.7%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 94.5% ---------------------------------------------------------------------- for-loop [10] 100.0% [15] 200(0.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [22] 100.0% ---------------------------------------------------------------------- get-final-combination [12] 100.0% [16] 196(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [17] 10974(48.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 10154(44.6%) 190(0.8%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 70.8% loop [26] 27.4% ---------------------------------------------------------------------- run-iter! [13] 100.0% [19] 826(3.6%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [20] 618(2.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [21] 440(1.9%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [27] 100.0% ---------------------------------------------------------------------- loop [15] 100.0% [22] 200(0.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% ---------------------------------------------------------------------- run-iter! [13] 100.0% [23] 196(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [70] 100.0% ---------------------------------------------------------------------- simplify! [17] 100.0% [24] 10974(48.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% ---------------------------------------------------------------------- for-loop [25] 45.8% one-iter [18] 54.2% [25] 7186(31.6%) 1946(8.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 45.8% match-e [37] 35.0% ---------------------------------------------------------------------- one-iter [18] 100.0% [26] 2778(12.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% ---------------------------------------------------------------------- choose-best-alt! [21] 34.8% finalize-iter! [19] 65.2% [27] 1266(5.6%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 65.2% atab-pick-alt8 [34] 34.8% ---------------------------------------------------------------------- gen-series! [20] 100.0% [28] 618(2.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% ---------------------------------------------------------------------- pass [22] 100.0% [29] 200(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [35] 100.0% ---------------------------------------------------------------------- for-loop [24] 16.5% run [7] 41.1% [30] 22758(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.1% run-improve58 [2] 21.5% loop [36] 20.9% simplify [3] 16.5% ---------------------------------------------------------------------- loop [26] 100.0% [31] 2778(12.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [37] 36.4% merge-egraph-nodes! [45] 34.3% for-loop [41] 14.0% loop! [82] 7.9% mk-enode! [42] 7.3% ---------------------------------------------------------------------- ??? [27] 100.0% [32] 826(3.6%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [38] 100.0% ---------------------------------------------------------------------- for-loop [28] 100.0% [33] 618(2.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [39] 100.0% ---------------------------------------------------------------------- ??? [27] 100.0% [34] 440(1.9%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [40] 100.0% ---------------------------------------------------------------------- for-loop [29] 100.0% [35] 200(0.9%) 200(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- ??? [30] 100.0% [36] 9508(41.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [43] 48.4% make-exacts* [49] 47.2% loop [50] 4.4% ---------------------------------------------------------------------- apply-match [31] 11.7% for-loop [51] 14.8% for-loop [25] 73.5% [37] 6046(26.6%) 2798(12.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 43.5% for-loop [51] 8.2% loop [80] 7.0% ---------------------------------------------------------------------- for-loop [32] 100.0% [38] 826(3.6%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [46] 100.0% ---------------------------------------------------------------------- taylor-alt [33] 100.0% [39] 618(2.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ---------------------------------------------------------------------- atab-pick-alt8 [34] 100.0% [40] 440(1.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [48] 100.0% ---------------------------------------------------------------------- apply-match [31] 100.0% [41] 390(1.7%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 merge-egraph-nodes! [45] 100.0% ---------------------------------------------------------------------- apply-match [31] 100.0% [42] 202(0.9%) 202(0.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- loop [36] 100.0% [43] 4606(20.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [50] 68.1% make-exacts* [49] 31.9% ---------------------------------------------------------------------- match-e [37] 100.0% [44] 3224(14.2%) 2236(9.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [51] 18.6% list-cartesian-product [55] 12.1% curry* [56] 6.2% ---------------------------------------------------------------------- for-loop [58] 6.6% for-loop [41] 29.0% apply-match [31] 64.4% [45] 1344(5.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [53] 43.0% loop! [82] 29.6% for-loop [57] 14.1% for-loop [58] 13.2% ---------------------------------------------------------------------- atab-add-altn [38] 100.0% [46] 826(3.6%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 100.0% ---------------------------------------------------------------------- location-do [47] 17.8% for-loop [39] 82.2% [47] 618(2.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [52] 82.2% location-do [47] 17.8% ---------------------------------------------------------------------- ??? [40] 100.0% [48] 440(1.9%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [54] 100.0% ---------------------------------------------------------------------- loop [43] 24.7% loop [36] 75.3% [49] 5956(26.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [80] 51.6% map [59] 48.4% ---------------------------------------------------------------------- loop [36] 11.7% loop [43] 88.3% [50] 3552(15.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% ---------------------------------------------------------------------- for-loop [44] 44.9% match-e [37] 55.1% [51] 1788(7.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [37] 100.0% ---------------------------------------------------------------------- location-do [47] 100.0% [52] 618(2.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f94 [77] 67.6% for-loop [63] 32.4% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [53] 578(2.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 100.0% ---------------------------------------------------------------------- best-alt [48] 100.0% [54] 440(1.9%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [61] 100.0% ---------------------------------------------------------------------- list-cartesian-product [55] 50.0% for-loop [44] 50.0% [55] 390(1.7%) 200(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [55] 50.0% for-loop [64] 24.4% ---------------------------------------------------------------------- for-loop [44] 100.0% [56] 200(0.9%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [62] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [57] 190(0.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [86] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [45] 100.0% [58] 178(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [45] 50.0% loop! [82] 50.0% ---------------------------------------------------------------------- f94 [77] 6.1% make-exacts* [49] 42.0% loop [50] 51.9% [59] 6850(30.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 93.9% f94 [77] 6.1% ---------------------------------------------------------------------- update-leader! [53] 100.0% [60] 578(2.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [66] 100.0% ---------------------------------------------------------------------- loop [54] 100.0% [61] 440(1.9%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [65] 100.0% ---------------------------------------------------------------------- curry* [56] 100.0% [62] 200(0.9%) 200(0.9%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------- approximate9 [52] 100.0% [63] 200(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f94 [77] 100.0% ---------------------------------------------------------------------- list-cartesian-product [55] 100.0% [64] 190(0.8%) 190(0.8%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- composed [61] 34.8% best-and-tied-at-points [46] 65.2% [65] 1266(5.6%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [67] 84.8% for-loop [69] 15.2% ---------------------------------------------------------------------- for-loop [60] 100.0% [66] 578(2.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [68] 100.0% ---------------------------------------------------------------------- errors [65] 100.0% [67] 1074(4.7%) 464(2.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [72] 38.4% hash-ref! [70] 18.4% ---------------------------------------------------------------------- for-loop [66] 100.0% [68] 578(2.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [71] 100.0% ---------------------------------------------------------------------- errors [65] 100.0% [69] 192(0.8%) 192(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------- localize-error [23] 8.2% for-loop [79] 16.8% first-nonzero-exp [11] 16.8% ??? [6] 24.7% eval-prog [67] 33.3% [70] 594(2.6%) 198(0.9%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [78] 24.7% ??? [75] 16.8% simplify [73] 16.8% ??? [76] 8.2% ---------------------------------------------------------------------- hash-update! [68] 100.0% [71] 578(2.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [74] 100.0% ---------------------------------------------------------------------- inductor [72] 35.3% eval-prog [67] 64.7% [72] 412(1.8%) 412(1.8%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [72] 35.3% ---------------------------------------------------------------------- hash-ref! [70] 32.4% taylor-invert [4] 67.6% [73] 618(2.7%) 198(0.9%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [78] 35.6% f94 [77] 32.4% ---------------------------------------------------------------------- ??? [71] 100.0% [74] 578(2.5%) 184(0.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [86] 68.2% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [75] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [79] 100.0% ---------------------------------------------------------------------- hash-ref! [70] 100.0% [76] 196(0.9%) 0(0.0%) ??? ...ztatlock/herbie/src/core/localize.rkt:22:13 loop [80] 100.0% ---------------------------------------------------------------------- simplify [73] 10.8% for-loop [63] 10.8% f94 [77] 21.5% map [59] 28.5% approximate9 [52] 28.5% [77] 618(2.7%) 200(0.9%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [59] 28.5% taylor-invert [4] 28.5% f94 [77] 21.5% taylor-sqrt [5] 10.8% ---------------------------------------------------------------------- hash-ref! [70] 47.1% simplify [73] 52.9% [78] 416(1.8%) 220(1.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [80] 47.1% ---------------------------------------------------------------------- ??? [75] 100.0% [79] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [70] 100.0% ---------------------------------------------------------------------- ??? [81] 0.0% ??? [76] 0.0% parse-loop12 [78] 0.1% make-exacts* [49] 0.2% map [59] 0.3% match-e [37] 0.4% extract-alt [16] 0.5% loop! [82] 0.5% loop [80] 98.0% [80] 10698(47.0%) 200(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 98.0% loop! [82] 0.5% ??? [81] 0.5% simplify [3] 0.5% ??? [6] 0.1% ??? [94] 0.0% ->flonum [83] 0.0% real->bigfloat [85] 0.0% ---------------------------------------------------------------------- loop [80] 100.0% [81] 8870(39.0%) 206(0.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 65.2% real->bigfloat [85] 19.7% loop [80] 7.5% ??? [94] 5.3% ---------------------------------------------------------------------- for-loop [58] 11.2% apply-match [31] 27.6% loop [80] 27.8% merge-egraph-nodes! [45] 33.4% [82] 796(3.5%) 178(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 update-en-expr [86] 35.9% loop [80] 27.8% custom-set-union [87] 25.1% ---------------------------------------------------------------------- loop [80] 100.0% [83] 638(2.8%) 388(1.7%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [97] 39.2% ---------------------------------------------------------------------- ??? [81] 100.0% [84] 5784(25.4%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 48.9% bf* [88] 42.5% ...higher-order.rkt:373:33 [89] 8.6% ---------------------------------------------------------------------- loop [80] 27.6% ??? [81] 72.4% [85] 2412(10.6%) 2200(9.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [96] 8.8% ---------------------------------------------------------------------- for-loop [57] 19.0% for-loop [74] 39.3% loop! [82] 41.7% [86] 1002(4.4%) 1002(4.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- loop! [82] 100.0% [87] 200(0.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [90] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [88] 2458(10.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [89] 496(2.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [92] 100.0% ---------------------------------------------------------------------- custom-set-union [87] 100.0% [90] 200(0.9%) 200(0.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 ---------------------------------------------------------------------- bf* [88] 46.5% ??? [84] 53.5% [91] 5288(23.2%) 702(3.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [93] 77.9% bfsqrt [95] 8.8% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [89]100.0% [92] 496(2.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ---------------------------------------------------------------------- ??? [91] 100.0% [93] 4120(18.1%) 2034(8.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [96] 50.6% ---------------------------------------------------------------------- loop [80] 16.9% ??? [81] 40.3% ??? [92] 42.8% [94] 1160(5.1%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ---------------------------------------------------------------------- ??? [91] 100.0% [95] 466(2.0%) 274(1.2%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [96] 41.2% ---------------------------------------------------------------------- bfsqrt [95] 7.7% real->bigfloat [85] 8.5% bfadd [93] 83.8% [96] 2490(10.9%) 2490(10.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ->flonum [83] 17.7% ??? [94] 82.3% [97] 1410(6.2%) 718(3.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 49.1% ---------------------------------------------------------------------- ??? [97] 100.0% [98] 692(3.0%) 426(1.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 38.4% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 266(1.2%) 266(1.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------