Profiling results ----------------- Total cpu time observed: 55328ms (out of 56400ms) Number of samples taken: 203 (once every 273ms) (Hiding functions with self<1.0% and local<2.0%: 5 of 99 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [36] 100.0% [1] 54030(97.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% --------------------------------------------------------------------- ??? [36] 100.0% [2] 8850(16.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 54.7% loop [7] 42.8% setup-prog [11] 2.5% --------------------------------------------------------------------- hash-ref! [60] 100.0% [3] 6598(11.9%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [49] 100.0% --------------------------------------------------------------------- simplify-alt [16] 5.7% ??? [36] 94.3% [4] 3846(7.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 57.3% for-loop [10] 26.6% iterate-egraph!5 [15] 16.1% --------------------------------------------------------------------- f94 [71] 100.0% [5] 200(0.4%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 first-nonzero-exp [12] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 54030(97.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [36] 100.0% --------------------------------------------------------------------- run-improve58 [2] 7.6% ??? [36] 92.4% [7] 50052(90.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [13] 55.6% make-exacts* [18] 30.9% loop [19] 13.4% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 4840(8.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% --------------------------------------------------------------------- simplify [4] 100.0% [9] 2204(4.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% --------------------------------------------------------------------- simplify [4] 100.0% [10] 1022(1.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 220(0.4%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [16] 100.0% --------------------------------------------------------------------- taylor-sqrt [5] 100.0% [12] 200(0.4%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 ??? [17] 100.0% --------------------------------------------------------------------- loop [7] 100.0% [13] 27844(50.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [19] 43.1% make-exacts* [18] 37.4% eval-prog [29] 18.5% loop [24] 0.9% --------------------------------------------------------------------- for-loop [8] 100.0% [14] 4840(8.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [20] 74.9% finalize-iter! [22] 12.2% gen-series! [23] 8.3% localize-error [25] 4.6% --------------------------------------------------------------------- simplify [4] 16.1% for-loop [10] 26.6% simplify-expr [9] 57.3% [15] 3846(7.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [21] 89.6% map-enodes [27] 5.2% *simplify-rules* [26] 5.2% --------------------------------------------------------------------- setup-prog [11] 100.0% [16] 220(0.4%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [4] 100.0% --------------------------------------------------------------------- first-nonzero-exp [12] 100.0% [17] 200(0.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [60] 100.0% --------------------------------------------------------------------- loop [13] 40.2% loop [7] 59.8% [18] 25900(46.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [49] 46.2% map [28] 42.4% eval-prog [29] 11.4% --------------------------------------------------------------------- loop [7] 35.9% loop [13] 64.1% [19] 18728(33.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [28] 100.0% --------------------------------------------------------------------- run-iter! [14] 100.0% [20] 3626(6.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [30] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [21] 3446(6.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [31] 47.2% loop [32] 47.0% loop [35] 5.8% --------------------------------------------------------------------- run-iter! [14] 100.0% [22] 592(1.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [33] 100.0% --------------------------------------------------------------------- run-iter! [14] 100.0% [23] 400(0.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% --------------------------------------------------------------------- loop [13] 0.1% loop [24] 99.9% [24] 262(0.5%) 262(0.5%) loop /home/ztatlock/herbie/src/points.rkt:72:2 loop [24] 99.9% --------------------------------------------------------------------- run-iter! [14] 100.0% [25] 222(0.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [60] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [26] 200(0.4%) 200(0.4%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 --------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [27] 200(0.4%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [49] 100.0% --------------------------------------------------------------------- f94 [71] 0.7% make-exacts* [18] 36.7% loop [19] 62.6% [28] 29934(54.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [49] 98.6% ??? [54] 0.7% --------------------------------------------------------------------- make-exacts* [18] 36.4% loop [13] 63.6% [29] 8122(14.7%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [60] 100.0% --------------------------------------------------------------------- simplify! [20] 100.0% [30] 3626(6.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [36] 100.0% --------------------------------------------------------------------- for-loop [31] 43.8% one-iter [21] 56.2% [31] 1628(2.9%) 1426(2.6%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [31] 43.8% match-e [40] 6.2% --------------------------------------------------------------------- one-iter [21] 100.0% [32] 1618(2.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [37] 100.0% --------------------------------------------------------------------- finalize-iter! [22] 100.0% [33] 592(1.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [38] 100.0% --------------------------------------------------------------------- gen-series! [23] 100.0% [34] 400(0.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [39] 100.0% --------------------------------------------------------------------- one-iter [21] 100.0% [35] 200(0.4%) 200(0.4%) loop ...ket/collects/racket/private/list.rkt:264:4 --------------------------------------------------------------------- for-loop [30] 2.2% run [6] 47.9% [36] 55112(99.6%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.9% loop [7] 42.7% run-improve58 [2] 7.1% simplify [4] 2.2% --------------------------------------------------------------------- loop [32] 100.0% [37] 1618(2.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [40] 50.8% merge-egraph-nodes! [41] 49.2% --------------------------------------------------------------------- ??? [33] 100.0% [38] 592(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [42] 100.0% --------------------------------------------------------------------- for-loop [34] 100.0% [39] 400(0.7%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% --------------------------------------------------------------------- for-loop [50] 19.5% for-loop [31] 19.7% apply-match [37] 60.7% [40] 1024(1.9%) 420(0.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 39.3% for-loop [50] 19.7% loop [49] 9.8% --------------------------------------------------------------------- for-loop [48] 12.6% apply-match [37] 87.4% [41] 796(1.4%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [47] 49.7% loop! [55] 37.7% for-loop [48] 12.6% --------------------------------------------------------------------- for-loop [38] 100.0% [42] 592(1.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [45] 100.0% --------------------------------------------------------------------- taylor-alt [39] 100.0% [43] 400(0.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [46] 100.0% --------------------------------------------------------------------- match-e [40] 100.0% [44] 602(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [50] 66.4% loop [49] 33.6% --------------------------------------------------------------------- atab-add-altn [42] 100.0% [45] 592(1.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [51] 100.0% --------------------------------------------------------------------- for-loop [43] 41.7% location-do [46] 58.3% [46] 400(0.7%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [46] 58.3% approximate9 [52] 41.7% --------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [47] 396(0.7%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [53] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [41] 100.0% [48] 200(0.4%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [41] 100.0% --------------------------------------------------------------------- loop! [55] 0.1% map-enodes [27] 0.1% for-loop [44] 0.1% match-e [40] 0.4% make-exacts* [18] 0.5% map [28] 1.3% ??? [3] 13.4% loop [49] 84.2% [49] 49296(89.1%) 402(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [49] 84.2% hash-ref! [60] 13.4% ??? [54] 1.7% loop! [55] 0.1% ->flonum [62] 0.0% bffma [68] 0.0% --------------------------------------------------------------------- match-e [40] 33.6% for-loop [44] 66.4% [50] 602(1.1%) 202(0.4%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 66.4% --------------------------------------------------------------------- best-and-tied-at-points [45] 100.0% [51] 592(1.1%) 200(0.4%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [57] 66.2% --------------------------------------------------------------------- location-do [46] 100.0% [52] 400(0.7%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 debug-print [79] 50.0% loop [58] 50.0% --------------------------------------------------------------------- update-leader! [47] 100.0% [53] 396(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [56] 100.0% --------------------------------------------------------------------- map [28] 0.5% loop [49] 99.5% [54] 41406(74.8%) 1310(2.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [59] 74.0% real->bigfloat [61] 18.1% ??? [88] 4.2% --------------------------------------------------------------------- loop [49] 25.0% merge-egraph-nodes! [41] 75.0% [55] 400(0.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [65] 50.0% loop [49] 25.0% set [64] 25.0% --------------------------------------------------------------------- for-loop [53] 100.0% [56] 396(0.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [63] 100.0% --------------------------------------------------------------------- errors [51] 100.0% [57] 392(0.7%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [66] 50.0% ->flonum [62] 50.0% --------------------------------------------------------------------- approximate9 [52] 100.0% [58] 200(0.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [60] 100.0% --------------------------------------------------------------------- ??? [54] 100.0% [59] 30624(55.3%) 452(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [82] 60.3% bf* [75] 15.4% bffma [68] 13.7% ...higher-order.rkt:373:33 [69] 7.6% ...ow-val-first.rkt:357:18 [78] 1.4% --------------------------------------------------------------------- localize-error [25] 0.6% ??? [17] 0.8% loop [58] 0.8% eval-prog [29] 45.1% loop [49] 50.0% [60] 8544(15.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [3] 50.0% bigfloat-hash [67] 45.1% f94 [71] 1.4% simplify [74] 0.8% --------------------------------------------------------------------- ??? [54] 100.0% [61] 7504(13.6%) 5860(10.6%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [90] 21.9% --------------------------------------------------------------------- for-loop [57] 29.1% loop [49] 70.9% [62] 674(1.2%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [70] 64.1% ??? [89] 35.9% --------------------------------------------------------------------- for-loop [56] 100.0% [63] 396(0.7%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [72] 100.0% --------------------------------------------------------------------- loop! [55] 100.0% [64] 200(0.4%) 200(0.4%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- loop! [55] 100.0% [65] 200(0.4%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [73] 100.0% --------------------------------------------------------------------- for-loop [57] 100.0% [66] 196(0.4%) 196(0.4%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 --------------------------------------------------------------------- hash-ref! [60] 100.0% [67] 8122(14.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [76] 63.8% sig+exp->bigfloat [77] 36.2% --------------------------------------------------------------------- loop [49] 5.0% ??? [59] 95.0% [68] 4432(8.0%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [75] 71.0% ...ow-val-first.rkt:357:18 [78] 29.0% --------------------------------------------------------------------- ??? [59] 100.0% [69] 2340(4.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [83] 83.2% ??? [88] 16.8% --------------------------------------------------------------------- ->flonum [62] 100.0% [70] 432(0.8%) 432(0.8%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- f94 [71] 35.5% hash-ref! [60] 64.5% [71] 422(0.8%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [28] 52.6% f94 [71] 35.5% taylor-sqrt [5] 11.8% --------------------------------------------------------------------- hash-update! [63] 100.0% [72] 396(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [80] 100.0% --------------------------------------------------------------------- custom-set-union [65] 100.0% [73] 200(0.4%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [81] 100.0% --------------------------------------------------------------------- hash-ref! [60] 100.0% [74] 200(0.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [79] 100.0% --------------------------------------------------------------------- bffma [68] 40.0% ??? [59] 60.0% [75] 7870(14.2%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [82] 100.0% --------------------------------------------------------------------- bigfloat-hash [67] 100.0% [76] 5184(9.4%) 5184(9.4%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 --------------------------------------------------------------------- bigfloat-hash [67] 100.0% [77] 2938(5.3%) 2938(5.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- ??? [59] 25.4% bffma [68] 74.6% [78] 1722(3.1%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [83] 100.0% --------------------------------------------------------------------- simplify [74] 50.0% approximate9 [52] 50.0% [79] 400(0.7%) 200(0.4%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [84] 50.0% --------------------------------------------------------------------- ??? [72] 100.0% [80] 396(0.7%) 200(0.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [85] 49.5% --------------------------------------------------------------------- for-loop [73] 100.0% [81] 200(0.4%) 200(0.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- bf* [75] 29.9% ??? [59] 70.1% [82] 26332(47.6%) 4296(7.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [86] 43.7% bfsqrt [87] 22.6% ??? [89] 17.3% --------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [78] 46.9% ...higher-order.rkt:373:33 [69] 53.1% [83] 3668(6.6%) 828(1.5%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [88] 77.4% --------------------------------------------------------------------- debug-print [79] 100.0% [84] 200(0.4%) 200(0.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- for-loop [80] 100.0% [85] 196(0.4%) 196(0.4%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- ??? [82] 100.0% [86] 11516(20.8%) 7822(14.1%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [90] 32.1% --------------------------------------------------------------------- ??? [82] 100.0% [87] 5952(10.8%) 4582(8.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [90] 23.0% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [69] 7.9% ??? [54] 34.9% ??? [83] 57.2% [88] 4968(9.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [89] 100.0% --------------------------------------------------------------------- ->flonum [62] 2.5% ??? [82] 46.7% ??? [88] 50.8% [89] 9778(17.7%) 6416(11.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [91] 27.6% ??? [92] 6.8% --------------------------------------------------------------------- bfsqrt [87] 20.4% real->bigfloat [61] 24.5% bfmul [86] 55.1% [90] 6708(12.1%) 6708(12.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [89] 100.0% [91] 2696(4.9%) 2062(3.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 23.5% --------------------------------------------------------------------- ??? [89] 100.0% [92] 666(1.2%) 450(0.8%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [94] 32.4% --------------------------------------------------------------------- ??? [91] 100.0% [93] 634(1.1%) 634(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 --------------------------------------------------------------------- ??? [92] 100.0% [94] 216(0.4%) 216(0.4%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ---------------------------------------------------------------------