Profiling results ----------------- Total cpu time observed: 32874ms (out of 32592ms) Number of samples taken: 126 (once every 261ms) (Hiding functions with self<1.0% and local<2.0%: 3 of 104 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [29] 100.0% [1] 31986(97.3%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [29] 100.0% [2] 11878(36.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 93.0% get-final-combination [12] 3.6% loop [33] 3.4% ---------------------------------------------------------------------- loop [63] 4.2% ??? [29] 95.8% [3] 10224(31.1%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 55.8% iterate-egraph!5 [17] 27.9% for-loop [11] 16.3% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [4] 2344(7.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [63] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [5] 222(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [15] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [6] 222(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [7] 222(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [13] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 31986(97.3%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 11048(33.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [10] 5702(17.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [11] 1668(5.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 426(1.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [13] 222(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [74] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [14] 222(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [74] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [15] 222(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [70] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [16] 11048(33.6%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 88.7% gen-series! [22] 5.8% finalize-iter! [23] 3.6% ---------------------------------------------------------------------- for-loop [11] 16.3% simplify [3] 27.9% simplify-expr [10] 55.8% [17] 10224(31.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 91.5% map-enodes [21] 8.5% ---------------------------------------------------------------------- get-final-combination [12] 100.0% [18] 426(1.3%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [63] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [19] 9798(29.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [20] 9360(28.5%) 418(1.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 60.1% loop [26] 26.6% apply-match [30] 8.8% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [21] 864(2.6%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [63] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [22] 642(2.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [27] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [23] 400(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ---------------------------------------------------------------------- simplify! [19] 100.0% [24] 9798(29.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ---------------------------------------------------------------------- for-loop [25] 48.2% one-iter [20] 51.8% [25] 5626(17.1%) 2112(6.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 48.2% match-e [34] 31.2% ---------------------------------------------------------------------- one-iter [20] 100.0% [26] 2492(7.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [30] 100.0% ---------------------------------------------------------------------- gen-series! [22] 100.0% [27] 642(2.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [31] 100.0% ---------------------------------------------------------------------- finalize-iter! [23] 100.0% [28] 400(1.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% ---------------------------------------------------------------------- for-loop [24] 10.3% run [8] 44.7% [29] 32208(98.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.7% loop [33] 31.6% run-improve58 [2] 13.5% simplify [3] 10.3% ---------------------------------------------------------------------- one-iter [20] 24.8% loop [26] 75.2% [30] 3316(10.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 loop! [68] 30.2% merge-egraph-nodes! [36] 18.8% match-e [34] 18.8% substitute-e [37] 14.0% for-loop [38] 12.1% reduce-to-single! [40] 6.1% ---------------------------------------------------------------------- for-loop [27] 100.0% [31] 642(2.0%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [35] 100.0% ---------------------------------------------------------------------- ??? [28] 100.0% [32] 400(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 1.9% ??? [29] 98.1% [33] 20734(63.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [41] 50.6% make-exacts* [47] 47.5% loop [48] 1.9% ---------------------------------------------------------------------- for-loop [49] 12.4% apply-match [30] 12.6% for-loop [25] 75.0% [34] 4136(12.6%) 2072(6.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 40.3% for-loop [49] 12.1% loop [63] 2.4% ---------------------------------------------------------------------- taylor-alt [31] 100.0% [35] 642(2.0%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [43] 100.0% ---------------------------------------------------------------------- apply-match [30] 100.0% [36] 624(1.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [44] 67.6% loop! [68] 32.4% ---------------------------------------------------------------------- apply-match [30] 100.0% [37] 464(1.4%) 222(0.7%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [46] 52.2% ---------------------------------------------------------------------- apply-match [30] 100.0% [38] 402(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [68] 100.0% ---------------------------------------------------------------------- for-loop [32] 100.0% [39] 400(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% ---------------------------------------------------------------------- apply-match [30] 100.0% [40] 202(0.6%) 202(0.6%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ---------------------------------------------------------------------- loop [33] 100.0% [41] 10482(31.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [48] 48.1% make-exacts* [47] 34.3% eval-prog [54] 17.6% ---------------------------------------------------------------------- match-e [34] 100.0% [42] 1868(5.7%) 844(2.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 43.5% loop [52] 11.9% loop [63] 10.7% ---------------------------------------------------------------------- for-loop [35] 29.0% location-do [43] 71.0% [43] 642(2.0%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [43] 71.0% approximate9 [50] 29.0% ---------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [44] 422(1.3%) 200(0.6%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [53] 52.6% ---------------------------------------------------------------------- atab-add-altn [39] 100.0% [45] 400(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [51] 100.0% ---------------------------------------------------------------------- substitute-e [37] 100.0% [46] 242(0.7%) 242(0.7%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- loop [41] 26.8% loop [33] 73.2% [47] 13446(40.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [63] 48.1% map [59] 41.5% eval-prog [54] 10.4% ---------------------------------------------------------------------- loop [33] 7.4% loop [41] 92.6% [48] 5444(16.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 82.6% loop [63] 17.4% ---------------------------------------------------------------------- match-e [34] 36.9% for-loop [42] 63.1% [49] 1624(4.9%) 200(0.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [34] 63.2% ??? [57] 24.5% ---------------------------------------------------------------------- location-do [43] 100.0% [50] 642(2.0%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [55] 65.4% taylor-sqrt [64] 34.6% ---------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [51] 400(1.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [56] 100.0% ---------------------------------------------------------------------- for-loop [42] 100.0% [52] 222(0.7%) 222(0.7%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- update-leader! [44] 100.0% [53] 222(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [58] 100.0% ---------------------------------------------------------------------- make-exacts* [47] 43.1% loop [41] 56.9% [54] 3242(9.9%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [74] 100.0% ---------------------------------------------------------------------- map [59] 11.8% approximate9 [50] 22.3% f6 [55] 32.8% hash-ref! [74] 33.1% [55] 628(1.9%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [59] 55.4% f6 [55] 32.8% taylor [60] 11.8% ---------------------------------------------------------------------- errors [51] 100.0% [56] 400(1.2%) 200(0.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [67] 50.0% ---------------------------------------------------------------------- for-loop [49] 100.0% [57] 398(1.2%) 200(0.6%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 custom-in-set [62] 49.7% ---------------------------------------------------------------------- for-loop [53] 100.0% [58] 222(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [61] 100.0% ---------------------------------------------------------------------- f6 [55] 5.9% loop [48] 42.0% make-exacts* [47] 52.1% [59] 10710(32.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [63] 94.1% f6 [55] 2.1% ??? [72] 1.9% taylor-sqrt [64] 1.8% ---------------------------------------------------------------------- f6 [55] 100.0% [60] 222(0.7%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug7 [65] 100.0% ---------------------------------------------------------------------- for-loop [58] 100.0% [61] 222(0.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [66] 100.0% ---------------------------------------------------------------------- ??? [57] 100.0% [62] 198(0.6%) 198(0.6%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- loop [48] 0.0% make-exacts* [47] 0.1% map [59] 0.6% loop! [68] 0.7% for-loop [42] 0.9% match-e [34] 0.9% parse-loop12 [84] 0.9% extract-alt [18] 1.3% map-enodes [21] 1.6% ??? [4] 10.5% loop [63] 82.5% [63] 22334(67.9%) 400(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [63] 82.5% hash-ref! [74] 10.5% for-loop [69] 1.6% simplify [3] 1.3% ??? [72] 0.9% ??? [67] 0.7% loop! [68] 0.5% ---------------------------------------------------------------------- map [59] 47.1% approximate9 [50] 52.9% [64] 420(1.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [74] 52.9% simplify [70] 47.1% ---------------------------------------------------------------------- taylor [60] 100.0% [65] 222(0.7%) 222(0.7%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ---------------------------------------------------------------------- hash-update! [61] 100.0% [66] 222(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [71] 100.0% ---------------------------------------------------------------------- for-loop [56] 1.1% loop [63] 98.9% [67] 17692(53.8%) 226(0.7%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [73] 79.8% real->bigfloat [75] 17.6% ??? [96] 1.3% ---------------------------------------------------------------------- loop [63] 12.5% merge-egraph-nodes! [36] 12.6% for-loop [38] 25.0% apply-match [30] 49.9% [68] 1606(4.9%) 600(1.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [76] 37.6% loop [63] 24.9% update-en-expr [77] 12.6% ---------------------------------------------------------------------- loop [63] 100.0% [69] 864(2.6%) 202(0.6%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 setfindf [78] 48.8% eval-const-expr [79] 27.8% ---------------------------------------------------------------------- taylor-sqrt [64] 47.1% for-loop [15] 52.9% [70] 420(1.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 simplify-node [80] 52.9% parse-loop12 [84] 47.1% ---------------------------------------------------------------------- ??? [66] 100.0% [71] 222(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [77] 100.0% ---------------------------------------------------------------------- map [59] 50.0% loop [63] 50.0% [72] 208(0.6%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [74] 100.0% ---------------------------------------------------------------------- ??? [67] 100.0% [73] 14116(42.9%) 200(0.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 53.3% bf* [87] 33.8% bfcube [82] 6.5% ...higher-order.rkt:373:33 [83] 3.5% ...ow-val-first.rkt:357:18 [90] 1.6% ---------------------------------------------------------------------- for-loop [14] 2.0% for-loop [13] 2.0% taylor-sqrt [64] 2.0% ??? [72] 3.8% loop [63] 35.2% eval-prog [54] 53.1% [74] 3672(11.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [81] 53.1% ??? [4] 35.2% parse-loop12 [84] 3.8% ??? [7] 2.0% ??? [6] 2.0% ??? [5] 2.0% f6 [55] 1.9% ---------------------------------------------------------------------- ??? [67] 100.0% [75] 3116(9.5%) 2880(8.8%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 7.6% ---------------------------------------------------------------------- loop! [68] 100.0% [76] 604(1.8%) 200(0.6%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [85] 66.9% ---------------------------------------------------------------------- loop! [68] 47.6% for-loop [71] 52.4% [77] 424(1.3%) 424(1.3%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- for-loop [69] 100.0% [78] 422(1.3%) 422(1.3%) setfindf ...e/ztatlock/herbie/src/common.rkt:173:0 ---------------------------------------------------------------------- for-loop [69] 100.0% [79] 240(0.7%) 240(0.7%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 ---------------------------------------------------------------------- simplify [70] 100.0% [80] 222(0.7%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 gather-additive-terms6 [86] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [81] 3242(9.9%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [88] 65.3% bfcanonicalize [89] 34.7% ---------------------------------------------------------------------- ??? [73] 100.0% [82] 914(2.8%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [87] 76.1% ...ow-val-first.rkt:357:18 [90] 23.9% ---------------------------------------------------------------------- ??? [73] 100.0% [83] 488(1.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ---------------------------------------------------------------------- simplify [70] 48.8% hash-ref! [74] 51.2% [84] 406(1.2%) 198(0.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [63] 25.6% bf* [87] 25.6% ---------------------------------------------------------------------- custom-set-union [76] 100.0% [85] 404(1.2%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [91] 100.0% ---------------------------------------------------------------------- simplify-node [80] 100.0% [86] 222(0.7%) 222(0.7%) gather-additive-terms6 ...src/core/reduce.rkt:63:0 ---------------------------------------------------------------------- parse-loop12 [84] 3.7% bfcube [82] 12.3% ??? [73] 84.1% [87] 5672(17.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ---------------------------------------------------------------------- bigfloat-hash [81] 100.0% [88] 2116(6.4%) 2116(6.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- bigfloat-hash [81] 100.0% [89] 1126(3.4%) 1126(3.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bfcube [82] 48.9% ??? [73] 51.1% [90] 446(1.4%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [93] 100.0% ---------------------------------------------------------------------- for-loop [85] 100.0% [91] 404(1.2%) 404(1.2%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- bf* [87] 43.0% ??? [73] 57.0% [92] 13190(40.1%) 5078(15.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [94] 32.7% ??? [97] 14.5% bfsqrt [95] 14.3% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [90] 47.8% ...higher-order.rkt:373:33 [83] 52.2% [93] 934(2.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ---------------------------------------------------------------------- ??? [92] 100.0% [94] 4312(13.1%) 3622(11.0%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 16.0% ---------------------------------------------------------------------- ??? [92] 100.0% [95] 1892(5.8%) 1444(4.4%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [98] 23.7% ---------------------------------------------------------------------- ??? [67] 20.0% ??? [93] 80.0% [96] 1168(3.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [97] 100.0% ---------------------------------------------------------------------- ??? [96] 38.0% ??? [92] 62.0% [97] 3076(9.4%) 1156(3.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 45.3% ??? [100] 17.2% ---------------------------------------------------------------------- real->bigfloat [75] 17.2% bfsqrt [95] 32.6% bfmul [94] 50.2% [98] 1374(4.2%) 1374(4.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [97] 100.0% [99] 1392(4.2%) 1158(3.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [101] 16.8% ---------------------------------------------------------------------- ??? [97] 100.0% [100] 528(1.6%) 528(1.6%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ---------------------------------------------------------------------- ??? [99] 100.0% [101] 234(0.7%) 234(0.7%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------