Profiling results ----------------- Total cpu time observed: 19884ms (out of 20204ms) Number of samples taken: 83 (once every 240ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [33] 100.0% [1] 19280(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% --------------------------------------------------------------------- ??? [33] 100.0% [2] 6586(33.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 90.9% get-final-combination [13] 9.1% --------------------------------------------------------------------- loop [61] 11.2% ??? [33] 88.8% [3] 3570(18.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 52.1% iterate-egraph!5 [21] 36.6% for-loop [15] 11.3% --------------------------------------------------------------------- hash-ref! [51] 49.8% map [58] 50.2% [4] 402(2.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [14] 100.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [5] 402(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [16] 100.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [6] 402(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [17] 100.0% --------------------------------------------------------------------- f37 [55] 100.0% [7] 202(1.0%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [61] 100.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [8] 202(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [18] 100.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [9] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [19] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [10] 19280(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [33] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 5986(30.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [12] 1860(9.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [21] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 600(3.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% --------------------------------------------------------------------- taylor-quotient [4] 100.0% [14] 402(2.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [51] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [15] 402(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [21] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [16] 402(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [23] 50.2% hash-ref! [51] 49.8% --------------------------------------------------------------------- ??? [6] 100.0% [17] 402(2.0%) 202(1.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [51] 49.8% --------------------------------------------------------------------- ??? [8] 100.0% [18] 202(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [51] 100.0% --------------------------------------------------------------------- ??? [9] 100.0% [19] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [51] 100.0% --------------------------------------------------------------------- for-loop [11] 100.0% [20] 5986(30.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [24] 59.7% gen-series! [26] 23.5% finalize-iter! [27] 10.1% choose-best-alt! [28] 6.7% --------------------------------------------------------------------- for-loop [15] 11.3% simplify [3] 36.6% simplify-expr [12] 52.1% [21] 3570(18.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [25] 100.0% --------------------------------------------------------------------- get-final-combination [13] 100.0% [22] 600(3.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [61] 66.7% loop [75] 33.3% --------------------------------------------------------------------- for-loop [16] 100.0% [23] 202(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [51] 100.0% --------------------------------------------------------------------- run-iter! [20] 100.0% [24] 3572(18.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [25] 3570(18.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 65.7% loop [32] 28.6% apply-match [35] 5.7% --------------------------------------------------------------------- run-iter! [20] 100.0% [26] 1406(7.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% --------------------------------------------------------------------- run-iter! [20] 100.0% [27] 606(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [59] 100.0% --------------------------------------------------------------------- run-iter! [20] 100.0% [28] 402(2.0%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [59] 100.0% --------------------------------------------------------------------- simplify! [24] 100.0% [29] 3572(18.0%) 202(1.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [33] 88.7% debug-print [56] 5.6% --------------------------------------------------------------------- for-loop [30] 50.0% one-iter [25] 50.0% [30] 2346(11.8%) 442(2.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 50.0% match-e [37] 40.6% --------------------------------------------------------------------- gen-series! [26] 100.0% [31] 1406(7.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [34] 100.0% --------------------------------------------------------------------- one-iter [25] 100.0% [32] 1022(5.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [35] 100.0% --------------------------------------------------------------------- for-loop [29] 5.7% run [10] 46.6% [33] 19682(99.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.6% loop [36] 33.3% run-improve58 [2] 14.4% simplify [3] 5.7% --------------------------------------------------------------------- for-loop [31] 100.0% [34] 1406(7.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% --------------------------------------------------------------------- one-iter [25] 16.5% loop [32] 83.5% [35] 1224(6.2%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [37] 49.2% loop! [66] 34.3% merge-egraph-nodes! [39] 16.5% --------------------------------------------------------------------- ??? [33] 100.0% [36] 13096(65.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [46] 51.5% loop [40] 46.7% loop [47] 1.8% --------------------------------------------------------------------- for-loop [49] 16.3% apply-match [35] 20.0% for-loop [30] 63.6% [37] 2506(12.6%) 1218(6.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [42] 33.2% list-cartesian-product [43] 17.6% custom-in-set [44] 8.8% constant? [45] 8.1% --------------------------------------------------------------------- taylor-alt [34] 100.0% [38] 1406(7.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [41] 100.0% --------------------------------------------------------------------- apply-match [35] 100.0% [39] 202(1.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [66] 100.0% --------------------------------------------------------------------- loop [36] 100.0% [40] 6118(30.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [47] 51.0% make-exacts* [46] 49.0% --------------------------------------------------------------------- location-do [41] 34.6% for-loop [38] 65.4% [41] 1406(7.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [48] 58.4% location-do [41] 34.6% simplify [53] 7.0% --------------------------------------------------------------------- match-e [37] 100.0% [42] 1242(6.2%) 222(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [49] 65.9% loop [61] 16.3% --------------------------------------------------------------------- list-cartesian-product [43] 50.0% match-e [37] 50.0% [43] 442(2.2%) 442(2.2%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [43] 50.0% --------------------------------------------------------------------- match-e [37] 100.0% [44] 220(1.1%) 220(1.1%) custom-in-set ...acket/private/set-types.rkt:578:0 --------------------------------------------------------------------- match-e [37] 100.0% [45] 202(1.0%) 202(1.0%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- loop [40] 30.8% loop [36] 69.2% [46] 9746(49.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [58] 58.9% loop [61] 41.1% --------------------------------------------------------------------- loop [36] 6.9% loop [40] 93.1% [47] 3350(16.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [58] 100.0% --------------------------------------------------------------------- location-do [41] 100.0% [48] 1208(6.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [50] 100.0% --------------------------------------------------------------------- for-loop [42] 100.0% [49] 818(4.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [37] 100.0% --------------------------------------------------------------------- approximate9 [48] 100.0% [50] 1208(6.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [51] 100.0% --------------------------------------------------------------------- for-loop [16] 2.8% for-loop [18] 3.3% for-loop [17] 4.1% for-loop [19] 5.5% ??? [54] 6.1% ??? [23] 6.7% first-nonzero-exp [14] 9.7% ??? [52] 29.2% loop [50] 32.5% [51] 1208(6.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [52] 29.2% f37 [55] 22.3% simplify [53] 12.5% ??? [5] 9.4% ??? [6] 7.5% ??? [54] 6.1% ??? [9] 5.5% taylor-quotient [4] 4.1% ??? [8] 3.3% --------------------------------------------------------------------- hash-ref! [51] 100.0% [52] 1006(5.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [51] 100.0% --------------------------------------------------------------------- location-do [41] 19.8% loop [61] 20.2% hash-ref! [51] 60.1% [53] 1002(5.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [55] 40.1% debug7 [57] 39.9% debug-print [56] 20.0% --------------------------------------------------------------------- hash-ref! [51] 100.0% [54] 402(2.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [51] 100.0% --------------------------------------------------------------------- map [58] 6.3% hash-ref! [51] 27.2% f37 [55] 29.2% simplify [53] 37.3% [55] 806(4.1%) 0(0.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [58] 64.5% f37 [55] 29.2% taylor [7] 6.3% --------------------------------------------------------------------- simplify [53] 50.0% for-loop [29] 50.0% [56] 400(2.0%) 200(1.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [60] 50.0% --------------------------------------------------------------------- simplify [53] 100.0% [57] 400(2.0%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [59] 100.0% --------------------------------------------------------------------- f37 [55] 8.1% loop [47] 33.8% make-exacts* [46] 58.0% [58] 9900(49.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [61] 91.9% taylor-invert [64] 2.0% f37 [55] 2.0% simplify-node [65] 2.0% taylor-quotient [4] 1.0% parse-loop50 [72] 1.0% --------------------------------------------------------------------- debug7 [57] 28.4% choose-best-alt! [28] 28.6% finalize-iter! [27] 43.0% [59] 1408(7.1%) 400(2.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [62] 43.0% atab-pick-alt8 [63] 28.6% --------------------------------------------------------------------- debug-print [56] 100.0% [60] 200(1.0%) 200(1.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- make-exacts* [46] 0.1% extract-alt [22] 0.5% map [58] 0.6% loop! [66] 1.1% taylor [7] 1.4% for-loop [42] 1.4% loop [61] 94.9% [61] 14320(72.0%) 420(2.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [61] 94.9% simplify [53] 1.4% loop! [66] 1.1% ??? [80] 0.6% simplify [3] 0.5% --------------------------------------------------------------------- ??? [59] 100.0% [62] 606(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [67] 100.0% --------------------------------------------------------------------- ??? [59] 100.0% [63] 402(2.0%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [68] 100.0% --------------------------------------------------------------------- map [58] 100.0% [64] 202(1.0%) 202(1.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 --------------------------------------------------------------------- map [58] 100.0% [65] 200(1.0%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [69] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [39] 32.5% loop [61] 33.8% apply-match [35] 33.8% [66] 622(3.1%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 set [70] 66.2% loop [61] 33.8% --------------------------------------------------------------------- for-loop [62] 100.0% [67] 606(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [71] 66.7% override-at-pnts [74] 33.3% --------------------------------------------------------------------- atab-pick-alt8 [63] 100.0% [68] 402(2.0%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [73] 100.0% --------------------------------------------------------------------- simplify-node [65] 100.0% [69] 200(1.0%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop50 [72] 100.0% --------------------------------------------------------------------- loop! [66] 100.0% [70] 622(3.1%) 622(3.1%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- atab-add-altn [67] 100.0% [71] 404(2.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [77] 100.0% --------------------------------------------------------------------- map [58] 16.7% parse-loop50 [72] 33.5% append-map [69] 49.8% [72] 402(2.0%) 402(2.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [72] 33.5% --------------------------------------------------------------------- ??? [68] 100.0% [73] 402(2.0%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [75] 100.0% --------------------------------------------------------------------- atab-add-altn [67] 100.0% [74] 202(1.0%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [77] 100.0% --------------------------------------------------------------------- extract-alt [22] 33.2% best-alt [73] 66.8% [75] 602(3.0%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [76] 100.0% --------------------------------------------------------------------- loop [75] 100.0% [76] 602(3.0%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [77] 100.0% --------------------------------------------------------------------- override-at-pnts [74] 16.7% best-and-tied-at-points [71] 33.4% composed [76] 49.8% [77] 1208(6.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [78] 83.3% eval-prog [79] 16.7% --------------------------------------------------------------------- errors [77] 100.0% [78] 1006(5.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [80] 100.0% --------------------------------------------------------------------- errors [77] 100.0% [79] 202(1.0%) 202(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- for-loop [78] 7.2% loop [61] 92.8% [80] 13884(69.8%) 924(4.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 75.1% real->bigfloat [82] 12.9% ??? [89] 5.3% --------------------------------------------------------------------- ??? [80] 100.0% [81] 10428(52.4%) 1040(5.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [83] 83.8% ...higher-order.rkt:373:33 [84] 4.4% ??? [85] 1.9% --------------------------------------------------------------------- ??? [80] 100.0% [82] 1794(9.0%) 1794(9.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 --------------------------------------------------------------------- ??? [81] 100.0% [83] 8734(43.9%) 3142(15.8%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [86] 37.1% bfsqr [87] 13.9% ??? [91] 12.9% --------------------------------------------------------------------- ??? [81] 100.0% [84] 454(2.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [88] 100.0% --------------------------------------------------------------------- ??? [81] 100.0% [85] 200(1.0%) 200(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- ??? [83] 100.0% [86] 3244(16.3%) 3016(15.2%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [90] 7.0% --------------------------------------------------------------------- ??? [83] 100.0% [87] 1218(6.1%) 710(3.6%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [90] 41.7% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [84]100.0% [88] 454(2.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [89] 100.0% --------------------------------------------------------------------- ??? [88] 38.1% ??? [80] 61.9% [89] 1192(6.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 100.0% --------------------------------------------------------------------- bfadd [86] 31.0% bfsqr [87] 69.0% [90] 736(3.7%) 736(3.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [83] 48.7% ??? [89] 51.3% [91] 2322(11.7%) 2096(10.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 9.7% --------------------------------------------------------------------- ??? [91] 100.0% [92] 226(1.1%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 100.0% --------------------------------------------------------------------- ??? [92] 100.0% [93] 226(1.1%) 226(1.1%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------