Profiling results ----------------- Total cpu time observed: 6988ms (out of 7256ms) Number of samples taken: 54 (once every 129ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [37] 100.0% [1] 6736(96.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% --------------------------------------------------------------------- ??? [37] 100.0% [2] 3342(47.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [10] 49.0% for-loop [11] 48.0% get-final-combination [17] 3.0% --------------------------------------------------------------------- loop [80] 9.1% ??? [37] 90.9% [3] 1100(15.7%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 58.5% for-loop [13] 27.6% loop [15] 13.8% --------------------------------------------------------------------- loop [80] 100.0% [4] 438(6.3%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [12] 100.0% --------------------------------------------------------------------- loop [80] 100.0% [5] 316(4.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 map [76] 52.5% hash-ref! [65] 47.5% --------------------------------------------------------------------- hash-ref! [65] 100.0% [6] 302(4.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% --------------------------------------------------------------------- hash-ref! [65] 100.0% [7] 152(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [16] 100.0% --------------------------------------------------------------------- location-do [50] 100.0% [8] 150(2.1%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 approximate9 [58] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 98.5% [9] 6836(97.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [37] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1638(23.4%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 1604(23.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [19] 100.0% --------------------------------------------------------------------- completely-simplify-alt [4] 40.5% simplify [3] 59.5% [12] 1082(15.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [20] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [13] 304(4.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [20] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [14] 302(4.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [65] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [15] 152(2.2%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% --------------------------------------------------------------------- ??? [7] 100.0% [16] 152(2.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [65] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 100(1.4%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% --------------------------------------------------------------------- finalize-table! [10] 100.0% [18] 1638(23.4%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [25] 56.3% loop [80] 36.9% ??? [34] 6.8% --------------------------------------------------------------------- for-loop [11] 100.0% [19] 1604(23.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [24] 62.3% finalize-iter! [27] 18.8% gen-series! [28] 9.5% localize-error [26] 9.4% --------------------------------------------------------------------- for-loop [13] 21.9% simplify-expr [12] 78.1% [20] 1386(19.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [23] 100.0% --------------------------------------------------------------------- loop [15] 100.0% [21] 152(2.2%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [29] 100.0% --------------------------------------------------------------------- get-final-combination [17] 100.0% [22] 100(1.4%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [20] 100.0% [23] 1386(19.8%) 150(2.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 loop [32] 57.4% for-loop [33] 31.7% --------------------------------------------------------------------- run-iter! [19] 100.0% [24] 1000(14.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [30] 100.0% --------------------------------------------------------------------- post-process [18] 100.0% [25] 922(13.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [31] 100.0% --------------------------------------------------------------------- run-iter! [19] 47.5% loop [80] 52.5% [26] 316(4.5%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [65] 100.0% --------------------------------------------------------------------- run-iter! [19] 100.0% [27] 302(4.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [34] 100.0% --------------------------------------------------------------------- run-iter! [19] 100.0% [28] 152(2.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [35] 100.0% --------------------------------------------------------------------- pass [21] 100.0% [29] 152(2.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [36] 100.0% --------------------------------------------------------------------- simplify! [24] 100.0% [30] 1000(14.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [37] 100.0% --------------------------------------------------------------------- f6 [73] 11.0% for-loop [25] 89.0% [31] 922(13.2%) 152(2.2%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [38] 89.0% f6 [73] 5.5% --------------------------------------------------------------------- one-iter [23] 100.0% [32] 796(11.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [39] 100.0% --------------------------------------------------------------------- for-loop [33] 33.0% one-iter [23] 67.0% [33] 440(6.3%) 150(2.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 33.0% match-e [46] 33.0% --------------------------------------------------------------------- post-process [18] 27.1% finalize-iter! [27] 72.9% [34] 414(5.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [40] 63.8% atab-add-altns [42] 36.2% --------------------------------------------------------------------- gen-series! [28] 100.0% [35] 152(2.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% --------------------------------------------------------------------- for-loop [29] 100.0% [36] 152(2.2%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [41] 100.0% --------------------------------------------------------------------- for-loop [30] 4.8% run [9] 47.2% [37] 6988(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 45.8% loop [43] 26.8% run-improve58 [2] 22.6% simplify [3] 4.8% --------------------------------------------------------------------- for-loop [35] 14.2% append-map [31] 85.8% [38] 1074(15.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% --------------------------------------------------------------------- loop [32] 100.0% [39] 796(11.4%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [47] 43.7% loop! [82] 43.7% match-e [46] 12.6% --------------------------------------------------------------------- ??? [34] 100.0% [40] 264(3.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [45] 100.0% --------------------------------------------------------------------- argmin [36] 100.0% [41] 152(2.2%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [48] 100.0% --------------------------------------------------------------------- ??? [34] 100.0% [42] 150(2.1%) 0(0.0%) atab-add-altns ...rbie/src/core/alt-table.rkt:50:0 atab-add-altn [45] 100.0% --------------------------------------------------------------------- ??? [37] 100.0% [43] 3646(52.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [49] 44.5% make-exacts* [56] 37.2% loop [57] 18.3% --------------------------------------------------------------------- taylor-alt [38] 100.0% [44] 1074(15.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% --------------------------------------------------------------------- atab-add-altns [42] 36.2% for-loop [40] 63.8% [45] 414(5.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51] 100.0% --------------------------------------------------------------------- for-loop [55] 12.8% apply-match [39] 12.8% for-loop [33] 74.4% [46] 390(5.6%) 290(4.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [55] 12.8% list-cartesian-product [54] 12.8% --------------------------------------------------------------------- apply-match [39] 100.0% [47] 348(5.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [52] 56.3% update-leader! [53] 43.7% --------------------------------------------------------------------- expression-cost [41] 100.0% [48] 152(2.2%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [65] 100.0% --------------------------------------------------------------------- loop [43] 100.0% [49] 1624(23.2%) 100(1.4%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [57] 60.0% make-exacts* [56] 33.9% --------------------------------------------------------------------- location-do [50] 28.1% for-loop [44] 71.9% [50] 1074(15.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [58] 67.3% location-do [50] 28.1% loop [8] 4.7% --------------------------------------------------------------------- atab-add-altn [45] 100.0% [51] 414(5.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [59] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [47] 100.0% [52] 196(2.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [82] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [47] 100.0% [53] 152(2.2%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [60] 100.0% --------------------------------------------------------------------- list-cartesian-product [54] 50.0% match-e [46] 50.0% [54] 100(1.4%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [54] 50.0% for-loop [61] 50.0% --------------------------------------------------------------------- match-e [46] 100.0% [55] 100(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [46] 100.0% --------------------------------------------------------------------- loop [49] 28.9% loop [43] 71.1% [56] 1906(27.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [80] 55.0% map [76] 45.0% --------------------------------------------------------------------- loop [43] 40.6% loop [49] 59.4% [57] 1640(23.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [76] 100.0% --------------------------------------------------------------------- loop [8] 14.0% location-do [50] 86.0% [58] 1074(15.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [62] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [51] 100.0% [59] 414(5.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 100.0% --------------------------------------------------------------------- update-leader! [53] 100.0% [60] 152(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 100.0% --------------------------------------------------------------------- list-cartesian-product [54] 100.0% [61] 100(1.4%) 100(1.4%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 --------------------------------------------------------------------- approximate9 [58] 100.0% [62] 1074(15.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [65] 84.5% for-loop [66] 15.5% --------------------------------------------------------------------- errors [59] 100.0% [63] 414(5.9%) 112(1.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [67] 36.7% ??? [81] 36.2% --------------------------------------------------------------------- for-loop [60] 100.0% [64] 152(2.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [68] 100.0% --------------------------------------------------------------------- for-loop [16] 2.8% compile [48] 3.7% ??? [5] 5.5% for-loop [14] 6.4% ??? [72] 7.4% localize-error [26] 17.5% ??? [69] 28.4% loop [62] 28.4% [65] 1376(19.7%) 152(2.2%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [69] 28.4% simplify [70] 28.4% f6 [73] 12.1% parse-loop50 [79] 10.9% ??? [72] 7.4% ??? [6] 6.4% ??? [7] 2.8% --------------------------------------------------------------------- loop [62] 100.0% [66] 166(2.4%) 166(2.4%) for-loop ...tlock/herbie/src/core/taylor.rkt:96:48 --------------------------------------------------------------------- for-loop [63] 100.0% [67] 152(2.2%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [89] 100.0% --------------------------------------------------------------------- for-loop [64] 100.0% [68] 152(2.2%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [71] 100.0% --------------------------------------------------------------------- hash-ref! [65] 100.0% [69] 908(13.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [65] 100.0% --------------------------------------------------------------------- hash-ref! [65] 100.0% [70] 908(13.0%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [79] 66.5% debug-print [74] 16.7% f6 [73] 16.7% --------------------------------------------------------------------- hash-update! [68] 100.0% [71] 152(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [75] 100.0% --------------------------------------------------------------------- hash-ref! [65] 100.0% [72] 152(2.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [65] 100.0% --------------------------------------------------------------------- append-map [31] 6.8% composed [78] 6.8% simplify [70] 6.8% map [76] 27.3% hash-ref! [65] 52.2% [73] 318(4.6%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [76] 79.5% append-map [31] 13.7% composed [78] 6.8% --------------------------------------------------------------------- simplify [70] 100.0% [74] 152(2.2%) 152(2.2%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 --------------------------------------------------------------------- ??? [71] 100.0% [75] 152(2.2%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [77] 100.0% --------------------------------------------------------------------- parse-loop50 [79] 1.1% ??? [5] 2.9% f6 [73] 7.3% make-exacts* [56] 30.5% loop [57] 58.2% [76] 2816(40.3%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 87.5% f6 [73] 4.3% ??? [81] 4.2% ->flonum [84] 2.9% parse-loop50 [79] 1.1% --------------------------------------------------------------------- for-loop [75] 100.0% [77] 152(2.2%) 152(2.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- f6 [73] 100.0% [78] 152(2.2%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [73] 100.0% --------------------------------------------------------------------- hash-ref! [65] 16.6% parse-loop50 [79] 16.7% map [76] 16.8% simplify [70] 50.0% [79] 906(13.0%) 604(8.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 map [76] 16.8% parse-loop50 [79] 16.7% loop [80] 16.6% --------------------------------------------------------------------- parse-loop50 [79] 0.1% post-process [18] 1.0% extract-alt [22] 2.3% make-exacts* [56] 2.3% map [76] 3.2% loop! [82] 3.4% loop [80] 87.8% [80] 4434(63.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 87.8% ??? [81] 5.4% loop! [82] 3.4% simplify [3] 2.3% completely-simplify-alt [4] 0.9% ??? [5] 0.1% localize-error [26] 0.1% ??? [87] 0.0% ->flonum [84] 0.0% --------------------------------------------------------------------- map [76] 3.3% for-loop [63] 4.2% loop [80] 92.5% [81] 3572(51.1%) 110(1.6%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 80.5% real->bigfloat [86] 9.1% ->flonum [84] 4.2% ??? [96] 3.1% --------------------------------------------------------------------- loop [80] 14.0% for-loop [52] 36.0% apply-match [39] 50.0% [82] 544(7.8%) 152(2.2%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [85] 72.1% loop [80] 14.0% --------------------------------------------------------------------- ??? [81] 100.0% [83] 2876(41.2%) 118(1.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 76.5% ...higher-order.rkt:373:33 [88] 19.4% --------------------------------------------------------------------- loop [80] 28.2% ??? [81] 34.1% map [76] 37.7% [84] 440(6.3%) 124(1.8%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [98] 37.7% ??? [89] 34.1% --------------------------------------------------------------------- loop! [82] 100.0% [85] 392(5.6%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [90] 50.0% for-loop [91] 50.0% --------------------------------------------------------------------- ??? [81] 100.0% [86] 324(4.6%) 216(3.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 33.3% --------------------------------------------------------------------- loop [80] 6.4% ??? [83] 93.6% [87] 2350(33.6%) 358(5.1%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [92] 53.4% bfsqrt [93] 16.5% ??? [98] 14.8% --------------------------------------------------------------------- ??? [83] 100.0% [88] 558(8.0%) 96(1.4%) ...higher-order.rkt:373:33 (unknown source) ??? [94] 62.7% ??? [96] 20.1% --------------------------------------------------------------------- ->flonum [84] 49.7% ulp-difference [67] 50.3% [89] 302(4.3%) 302(4.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- custom-set-union [85] 100.0% [90] 196(2.8%) 196(2.8%) for-loop ...cts/racket/private/set-types.rkt:152:2 --------------------------------------------------------------------- custom-set-union [85] 100.0% [91] 196(2.8%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [95] 100.0% --------------------------------------------------------------------- ??? [87] 100.0% [92] 1256(18.0%) 938(13.4%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 25.3% --------------------------------------------------------------------- ??? [87] 100.0% [93] 388(5.6%) 270(3.9%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 30.4% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [94] 350(5.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% --------------------------------------------------------------------- for-loop [91] 100.0% [95] 196(2.8%) 196(2.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- ??? [81] 19.5% ...higher-order.rkt:373:33 [88] 19.5% ??? [94] 61.0% [96] 574(8.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% --------------------------------------------------------------------- real->bigfloat [86] 19.9% bfsqrt [93] 21.7% bfadd [92] 58.5% [97] 544(7.8%) 544(7.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ->flonum [84] 15.3% ??? [87] 32.0% ??? [96] 52.8% [98] 1088(15.6%) 476(6.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 56.2% --------------------------------------------------------------------- ??? [98] 100.0% [99] 612(8.8%) 0(0.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 100.0% --------------------------------------------------------------------- ??? [99] 100.0% [100] 612(8.8%) 612(8.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------