Profiling results ----------------- Total cpu time observed: 20964ms (out of 21388ms) Number of samples taken: 87 (once every 241ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 98 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [35] 100.0% [1] 20270(96.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [35] 100.0% [2] 8328(39.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 60.1% finalize-table! [11] 31.1% loop [39] 6.1% get-final-combination [14] 2.7% ---------------------------------------------------------------------- loop [55] 5.9% ??? [35] 94.1% [3] 3772(18.0%) 220(1.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 60.7% iterate-egraph!5 [17] 17.0% for-loop [12] 16.5% ---------------------------------------------------------------------- loop [55] 100.0% [4] 842(4.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [10] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [5] 458(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [13] 100.0% ---------------------------------------------------------------------- f94 [67] 100.0% [6] 222(1.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [63] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [7] 220(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 20270(96.7%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 5008(23.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [16] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [4] 26.9% simplify [3] 73.1% [10] 3130(14.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [17] 87.2% loop [19] 12.8% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 2588(12.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [18] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 622(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [17] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [13] 458(2.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [60] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 222(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [20] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [15] 220(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [60] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [16] 5008(23.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 74.9% gen-series! [24] 12.7% finalize-iter! [25] 12.4% ---------------------------------------------------------------------- for-loop [12] 15.6% simplify [3] 16.1% simplify-expr [10] 68.4% [17] 3994(19.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 89.4% map-enodes [26] 10.6% ---------------------------------------------------------------------- finalize-table! [11] 100.0% [18] 2588(12.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [23] 59.7% loop [55] 32.5% localize-error [28] 7.8% ---------------------------------------------------------------------- simplify-expr [10] 100.0% [19] 400(1.9%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [27] 100.0% ---------------------------------------------------------------------- get-final-combination [14] 100.0% [20] 222(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [55] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [21] 3750(17.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [29] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [22] 3572(17.0%) 622(3.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [30] 70.8% loop [34] 6.2% apply-match [37] 5.6% ---------------------------------------------------------------------- post-process [18] 100.0% [23] 1544(7.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [31] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [24] 636(3.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ---------------------------------------------------------------------- run-iter! [16] 100.0% [25] 622(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [70] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [17] 100.0% [26] 422(2.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [55] 100.0% ---------------------------------------------------------------------- loop [19] 100.0% [27] 400(1.9%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [33] 100.0% ---------------------------------------------------------------------- post-process [18] 100.0% [28] 202(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [60] 100.0% ---------------------------------------------------------------------- simplify! [21] 100.0% [29] 3750(17.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 94.7% debug-print [68] 5.3% ---------------------------------------------------------------------- for-loop [30] 50.0% one-iter [22] 50.0% [30] 2530(12.1%) 624(3.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [30] 50.0% match-e [40] 37.7% ---------------------------------------------------------------------- f94 [67] 11.6% for-loop [23] 88.4% [31] 1746(8.3%) 202(1.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [36] 88.4% f94 [67] 5.8% ---------------------------------------------------------------------- gen-series! [24] 100.0% [32] 636(3.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ---------------------------------------------------------------------- pass [27] 100.0% [33] 400(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [38] 100.0% ---------------------------------------------------------------------- one-iter [22] 100.0% [34] 220(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [37] 100.0% ---------------------------------------------------------------------- for-loop [29] 5.8% run [8] 46.6% [35] 20500(97.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.6% loop [39] 30.2% run-improve58 [2] 17.4% simplify [3] 5.8% ---------------------------------------------------------------------- for-loop [32] 29.2% append-map [31] 70.8% [36] 2180(10.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% ---------------------------------------------------------------------- one-iter [22] 47.6% loop [34] 52.4% [37] 420(2.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [40] 100.0% ---------------------------------------------------------------------- for-loop [33] 100.0% [38] 400(1.9%) 400(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- run-improve58 [2] 4.0% ??? [35] 96.0% [39] 12682(60.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [42] 47.1% make-exacts* [46] 42.1% loop [47] 10.8% ---------------------------------------------------------------------- for-loop [51] 4.3% apply-match [37] 13.8% for-loop [30] 81.9% [40] 2326(11.1%) 1266(6.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 41.3% custom-in-set [45] 4.3% ---------------------------------------------------------------------- taylor-alt [36] 100.0% [41] 2180(10.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [43] 100.0% ---------------------------------------------------------------------- loop [39] 100.0% [42] 5976(28.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [46] 50.8% loop [47] 44.8% eval-prog [81] 4.4% ---------------------------------------------------------------------- location-do [43] 25.3% for-loop [41] 74.7% [43] 2180(10.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [48] 71.3% location-do [43] 25.3% simplify [63] 3.4% ---------------------------------------------------------------------- match-e [40] 100.0% [44] 1060(5.1%) 420(2.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 foldl [49] 20.8% list-cartesian-product [50] 20.8% for-loop [51] 18.9% ---------------------------------------------------------------------- match-e [40] 100.0% [45] 200(1.0%) 200(1.0%) custom-in-set ...acket/private/set-types.rkt:578:0 ---------------------------------------------------------------------- loop [42] 36.3% loop [39] 63.7% [46] 8378(40.0%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [52] 50.3% loop [55] 46.4% eval-prog [81] 3.3% ---------------------------------------------------------------------- loop [39] 33.8% loop [42] 66.2% [47] 4044(19.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [52] 100.0% ---------------------------------------------------------------------- location-do [43] 100.0% [48] 1960(9.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [53] 67.6% f94 [67] 32.4% ---------------------------------------------------------------------- for-loop [44] 100.0% [49] 220(1.0%) 220(1.0%) foldl ...et/collects/racket/private/list.rkt:229:4 ---------------------------------------------------------------------- for-loop [44] 100.0% [50] 220(1.0%) 220(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- for-loop [44] 100.0% [51] 200(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 100.0% ---------------------------------------------------------------------- gather-multiplicative-terms [72] 1.2% f94 [67] 10.4% loop [47] 43.3% make-exacts* [46] 45.1% [52] 9342(44.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [55] 88.4% parse-loop12 [54] 4.4% f94 [67] 3.9% ??? [59] 2.2% gather-multiplicative-terms [72] 1.2% ---------------------------------------------------------------------- approximate9 [48] 100.0% [53] 1324(6.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [60] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 22.9% map [52] 77.1% [54] 882(4.2%) 238(1.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [55] 36.6% f94 [67] 24.9% loop [56] 11.5% ---------------------------------------------------------------------- make-exacts* [46] 0.4% post-process [18] 0.6% map-enodes [26] 0.7% extract-alt [20] 0.8% f94 [67] 1.5% map [52] 1.6% parse-loop12 [54] 2.9% loop [55] 91.5% [55] 14492(69.1%) 202(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [55] 91.5% ??? [83] 2.0% f94 [67] 1.5% simplify [63] 1.5% ??? [59] 1.4% simplify [3] 0.8% completely-simplify-alt [4] 0.6% for-loop [58] 0.5% ->flonum [57] 0.0% ---------------------------------------------------------------------- parse-loop12 [54] 3.8% loop [56] 96.2% [56] 202(1.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [56] 96.2% ->flonum [57] 3.8% ---------------------------------------------------------------------- loop [56] 30.7% loop [55] 69.3% [57] 658(3.1%) 234(1.1%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [61] 33.7% ??? [94] 30.7% ---------------------------------------------------------------------- loop [55] 100.0% [58] 220(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 curried [62] 100.0% ---------------------------------------------------------------------- loop [55] 50.0% map [52] 50.0% [59] 202(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [60] 100.0% ---------------------------------------------------------------------- localize-error [28] 3.9% for-loop [15] 4.2% for-loop [13] 4.9% ??? [66] 6.0% ??? [59] 7.8% first-nonzero-exp [76] 11.6% ??? [65] 13.9% ??? [64] 14.5% loop [53] 33.1% [60] 1726(8.2%) 220(1.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [63] 25.5% ??? [64] 14.5% ??? [65] 13.9% f94 [67] 10.3% parse-loop12 [54] 7.8% ??? [66] 6.0% ??? [5] 4.9% ??? [7] 4.2% ---------------------------------------------------------------------- ->flonum [57] 100.0% [61] 222(1.1%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [95] 100.0% ---------------------------------------------------------------------- for-loop [58] 100.0% [62] 220(1.0%) 220(1.0%) curried ...cket/collects/racket/function.rkt:71:18 ---------------------------------------------------------------------- loop [55] 10.9% location-do [43] 11.2% taylor-invert [6] 11.3% taylor-quotient [71] 11.3% hash-ref! [60] 55.2% [63] 1960(9.3%) 214(1.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [67] 67.6% debug7 [69] 11.3% debug-print [68] 10.2% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [64] 902(4.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [60] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [65] 882(4.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [60] 100.0% ---------------------------------------------------------------------- hash-ref! [60] 100.0% [66] 460(2.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [60] 100.0% ---------------------------------------------------------------------- append-map [31] 1.9% parse-loop12 [54] 5.1% loop [55] 5.1% map [52] 11.1% f94 [67] 12.0% approximate9 [48] 12.2% hash-ref! [60] 19.6% simplify [63] 31.1% [67] 2162(10.3%) 442(2.1%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [52] 34.3% taylor-quotient [71] 14.9% f94 [67] 12.0% combine-mterms [73] 10.2% taylor-invert [6] 5.1% gather-multiplicative-terms [72] 5.1% append-map [31] 3.7% loop [55] 2.5% ---------------------------------------------------------------------- for-loop [29] 50.0% simplify [63] 50.0% [68] 400(1.9%) 200(1.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [74] 50.0% ---------------------------------------------------------------------- simplify [63] 100.0% [69] 222(1.1%) 0(0.0%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ??? [70] 100.0% ---------------------------------------------------------------------- debug7 [69] 26.3% finalize-iter! [25] 73.7% [70] 844(4.0%) 222(1.1%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [75] 73.7% ---------------------------------------------------------------------- f94 [67] 100.0% [71] 422(2.0%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [63] 52.6% first-nonzero-exp [76] 47.4% ---------------------------------------------------------------------- map [52] 50.0% f94 [67] 50.0% [72] 222(1.1%) 222(1.1%) gather-multiplicative-terms ...re/reduce.rkt:107:0 map [52] 50.0% ---------------------------------------------------------------------- f94 [67] 100.0% [73] 220(1.0%) 220(1.0%) combine-mterms ...herbie/src/core/reduce.rkt:182:0 ---------------------------------------------------------------------- debug-print [68] 100.0% [74] 200(1.0%) 200(1.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- ??? [70] 100.0% [75] 622(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [77] 100.0% ---------------------------------------------------------------------- taylor-quotient [71] 100.0% [76] 200(1.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [60] 100.0% ---------------------------------------------------------------------- for-loop [75] 100.0% [77] 622(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [78] 100.0% ---------------------------------------------------------------------- atab-add-altn [77] 100.0% [78] 622(3.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [79] 67.8% for-loop [80] 32.2% ---------------------------------------------------------------------- best-and-tied-at-points [78] 100.0% [79] 422(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [81] 52.1% for-loop [82] 47.9% ---------------------------------------------------------------------- best-and-tied-at-points [78] 100.0% [80] 200(1.0%) 200(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- errors [79] 29.1% loop [42] 34.4% make-exacts* [46] 36.5% [81] 756(3.6%) 756(3.6%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- errors [79] 100.0% [82] 202(1.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [83] 100.0% ---------------------------------------------------------------------- for-loop [82] 1.7% loop [55] 98.3% [83] 12114(57.8%) 226(1.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [84] 67.8% real->bigfloat [85] 28.5% ??? [93] 1.9% ---------------------------------------------------------------------- ??? [83] 100.0% [84] 8208(39.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [89] 84.0% ...higher-order.rkt:373:33 [86] 10.7% bf* [87] 2.9% ??? [88] 2.5% ---------------------------------------------------------------------- ??? [83] 100.0% [85] 3448(16.4%) 2738(13.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 20.6% ---------------------------------------------------------------------- ??? [84] 100.0% [86] 878(4.2%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 75.2% ??? [93] 24.8% ---------------------------------------------------------------------- ??? [84] 100.0% [87] 234(1.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [89] 100.0% ---------------------------------------------------------------------- ??? [84] 100.0% [88] 202(1.0%) 202(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- bf* [87] 3.3% ??? [84] 96.7% [89] 7128(34.0%) 198(0.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [91] 59.8% bfsqrt [92] 21.8% ??? [94] 15.6% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [86] 100.0% [90] 660(3.1%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 100.0% ---------------------------------------------------------------------- ??? [89] 100.0% [91] 4264(20.3%) 3198(15.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 25.0% ---------------------------------------------------------------------- ??? [89] 100.0% [92] 1556(7.4%) 1288(6.1%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 17.2% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [86] 19.6% ??? [83] 20.9% ??? [90] 59.5% [93] 1110(5.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ---------------------------------------------------------------------- ->flonum [57] 8.3% ??? [93] 45.8% ??? [89] 45.8% [94] 2422(11.6%) 420(2.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 82.7% ---------------------------------------------------------------------- ??? [61] 9.8% bfsqrt [92] 11.8% real->bigfloat [85] 31.3% bfmul [91] 47.0% [95] 2266(10.8%) 2266(10.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [94] 100.0% [96] 2002(9.5%) 678(3.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 66.1% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 1324(6.3%) 1324(6.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------