Profiling results ----------------- Total cpu time observed: 12838ms (out of 13084ms) Number of samples taken: 50 (once every 257ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [24] 100.0% [1] 12602(98.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [24] 100.0% [2] 3400(26.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 57.4% finalize-table! [9] 36.6% get-final-combination [10] 5.9% ----------------------------------------------------------------------- f6 [52] 100.0% [3] 220(1.7%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 loop [58] 100.0% ----------------------------------------------------------------------- f6 [52] 100.0% [4] 202(1.6%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [45] 100.0% ----------------------------------------------------------------------- hash-ref! [45] 100.0% [5] 202(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [12] 100.0% ----------------------------------------------------------------------- hash-ref! [45] 100.0% [6] 202(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [11] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 12602(98.2%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [24] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 1952(15.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 1246(9.7%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [14] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 202(1.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [15] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [11] 202(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [45] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [12] 202(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [45] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [13] 1952(15.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 54.7% finalize-iter! [18] 21.7% localize-error [61] 12.3% gen-series! [19] 11.3% ----------------------------------------------------------------------- finalize-table! [9] 100.0% [14] 1246(9.7%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [17] 50.1% loop [58] 33.7% ??? [21] 16.2% ----------------------------------------------------------------------- get-final-combination [10] 100.0% [15] 202(1.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [58] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [16] 1068(8.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [20] 100.0% ----------------------------------------------------------------------- post-process [14] 100.0% [17] 624(4.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [22] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [18] 424(3.3%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [21] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 220(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [23] 100.0% ----------------------------------------------------------------------- simplify! [16] 100.0% [20] 1068(8.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [24] 100.0% ----------------------------------------------------------------------- post-process [14] 32.3% finalize-iter! [18] 67.7% [21] 626(4.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 100.0% ----------------------------------------------------------------------- f6 [52] 21.6% for-loop [17] 78.4% [22] 624(4.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [25] 78.4% f6 [52] 10.8% free-variables [27] 10.8% ----------------------------------------------------------------------- gen-series! [19] 100.0% [23] 220(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [25] 100.0% ----------------------------------------------------------------------- for-loop [20] 2.8% run [7] 47.7% [24] 12838(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.7% loop [28] 37.7% run-improve58 [2] 11.9% simplify [60] 2.8% ----------------------------------------------------------------------- for-loop [23] 26.1% append-map [22] 73.9% [25] 844(6.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [29] 100.0% ----------------------------------------------------------------------- ??? [21] 100.0% [26] 626(4.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [30] 100.0% ----------------------------------------------------------------------- append-map [22] 100.0% [27] 202(1.6%) 202(1.6%) free-variables ...ock/herbie/src/programs.rkt:89:0 ----------------------------------------------------------------------- ??? [24] 100.0% [28] 9438(73.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [31] 47.3% make-exacts* [36] 35.6% loop [37] 15.0% for-loop [35] 2.1% ----------------------------------------------------------------------- taylor-alt [25] 100.0% [29] 844(6.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [32] 100.0% ----------------------------------------------------------------------- for-loop [26] 100.0% [30] 626(4.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [33] 64.5% override-at-pnts [34] 35.5% ----------------------------------------------------------------------- loop [28] 100.0% [31] 4460(34.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [37] 52.2% make-exacts* [36] 31.6% eval-prog [41] 16.2% ----------------------------------------------------------------------- location-do [32] 29.0% for-loop [29] 71.0% [32] 844(6.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [38] 71.0% location-do [32] 29.0% ----------------------------------------------------------------------- atab-add-altn [30] 100.0% [33] 404(3.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [39] 100.0% ----------------------------------------------------------------------- atab-add-altn [30] 100.0% [34] 222(1.7%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [39] 100.0% ----------------------------------------------------------------------- loop [28] 100.0% [35] 200(1.6%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [40] 100.0% ----------------------------------------------------------------------- loop [31] 29.5% loop [28] 70.5% [36] 4770(37.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [58] 58.1% map [55] 36.8% eval-prog [41] 5.1% ----------------------------------------------------------------------- loop [28] 37.8% loop [31] 62.2% [37] 3744(29.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [55] 100.0% ----------------------------------------------------------------------- location-do [32] 100.0% [38] 844(6.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [42] 50.0% f6 [52] 50.0% ----------------------------------------------------------------------- override-at-pnts [34] 35.5% best-and-tied-at-points [33] 64.5% [39] 626(4.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [41] 67.7% for-loop [43] 32.3% ----------------------------------------------------------------------- for-loop [35] 100.0% [40] 200(1.6%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [44] 100.0% ----------------------------------------------------------------------- make-exacts* [36] 17.5% errors [39] 30.5% loop [31] 52.0% [41] 1392(10.8%) 454(3.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [45] 52.9% inductor [46] 14.5% ----------------------------------------------------------------------- approximate9 [38] 100.0% [42] 422(3.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [45] 100.0% ----------------------------------------------------------------------- errors [39] 100.0% [43] 202(1.6%) 202(1.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ----------------------------------------------------------------------- for-loop [40] 100.0% [44] 200(1.6%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [47] 100.0% ----------------------------------------------------------------------- for-loop [12] 3.2% for-loop [11] 3.2% localize-error [61] 5.0% ??? [62] 10.0% ??? [51] 10.0% loop [42] 10.0% taylor-sqrt [4] 12.6% loop [58] 22.6% eval-prog [41] 23.4% [45] 1600(12.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [49] 23.4% simplify [48] 22.7% ??? [50] 22.6% ??? [51] 10.0% parse-loop12 [57] 10.0% f6 [52] 5.0% ??? [6] 3.2% ??? [5] 3.2% ----------------------------------------------------------------------- eval-prog [41] 100.0% [46] 202(1.6%) 202(1.6%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 ----------------------------------------------------------------------- sample-double [44] 100.0% [47] 200(1.6%) 200(1.6%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ----------------------------------------------------------------------- loop [58] 26.1% hash-ref! [45] 73.9% [48] 844(6.6%) 220(1.7%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [52] 73.9% ----------------------------------------------------------------------- hash-ref! [45] 100.0% [49] 736(5.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [53] 67.9% bfcanonicalize [54] 32.1% ----------------------------------------------------------------------- hash-ref! [45] 100.0% [50] 492(3.8%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [58] 100.0% ----------------------------------------------------------------------- hash-ref! [45] 100.0% [51] 422(3.3%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [45] 100.0% ----------------------------------------------------------------------- f6 [52] 5.1% append-map [22] 6.2% composed [56] 6.2% map [55] 10.1% approximate9 [38] 14.4% hash-ref! [45] 22.1% simplify [48] 35.8% [52] 1084(8.4%) 202(1.6%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [55] 52.6% append-map [22] 12.4% taylor-sqrt [4] 9.3% composed [56] 6.2% f6 [52] 5.1% taylor [3] 5.1% ----------------------------------------------------------------------- bigfloat-hash [49] 100.0% [53] 500(3.9%) 500(3.9%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- bigfloat-hash [49] 100.0% [54] 236(1.8%) 236(1.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- f6 [52] 11.0% make-exacts* [36] 28.4% loop [37] 60.6% [55] 6178(48.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [58] 89.0% ??? [62] 3.9% parse-loop12 [57] 3.6% f6 [52] 3.6% ----------------------------------------------------------------------- f6 [52] 100.0% [56] 202(1.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f6 [52] 100.0% ----------------------------------------------------------------------- parse-loop12 [57] 23.9% map [55] 23.9% hash-ref! [45] 52.2% [57] 460(3.6%) 220(1.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [58] 52.2% parse-loop12 [57] 23.9% ----------------------------------------------------------------------- make-exacts* [36] 0.1% parse-loop12 [57] 0.6% extract-alt [15] 1.0% map [55] 1.1% taylor [3] 2.2% post-process [14] 3.3% ??? [50] 5.0% loop [58] 86.7% [58] 9844(76.7%) 194(1.5%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [58] 86.7% hash-ref! [45] 5.0% localize-error [61] 2.2% simplify [48] 2.2% ??? [59] 1.2% simplify [60] 1.0% completely-simplify-alt [64] 1.0% ??? [62] 0.3% ...higher-order.rkt:373:33 [74] 0.3% ->flonum [63] 0.0% ----------------------------------------------------------------------- loop [58] 100.0% [59] 7838(61.1%) 238(1.9%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [65] 60.7% real->bigfloat [66] 30.0% ??? [82] 3.2% new [68] 3.1% ----------------------------------------------------------------------- loop [58] 15.9% ??? [24] 84.1% [60] 1270(9.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [67] 84.1% for-loop [71] 15.9% ----------------------------------------------------------------------- loop [58] 47.8% run-iter! [13] 52.2% [61] 460(3.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [45] 52.2% sort [70] 47.8% ----------------------------------------------------------------------- map [55] 50.0% loop [58] 50.0% [62] 240(1.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [45] 100.0% ----------------------------------------------------------------------- loop [58] 100.0% [63] 238(1.9%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [69] 100.0% ----------------------------------------------------------------------- loop [58] 100.0% [64] 200(1.6%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [67] 100.0% ----------------------------------------------------------------------- ??? [59] 100.0% [65] 4760(37.1%) 920(7.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [72] 70.5% ...higher-order.rkt:373:33 [74] 10.2% ----------------------------------------------------------------------- ??? [59] 100.0% [66] 2352(18.3%) 1886(14.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [83] 19.8% ----------------------------------------------------------------------- completely-simplify-alt [64] 15.8% simplify [60] 84.2% [67] 1268(9.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [73] 100.0% ----------------------------------------------------------------------- ??? [59] 100.0% [68] 240(1.9%) 240(1.9%) new ...cket/contract/private/case-arrow.rkt:227:53 ----------------------------------------------------------------------- ->flonum [63] 100.0% [69] 238(1.9%) 238(1.9%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- localize-error [61] 100.0% [70] 220(1.7%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 loop [75] 100.0% ----------------------------------------------------------------------- simplify [60] 100.0% [71] 202(1.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [73] 100.0% ----------------------------------------------------------------------- ??? [65] 100.0% [72] 3356(26.1%) 698(5.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [77] 35.8% bfsqrt [78] 29.4% ??? [86] 14.0% ----------------------------------------------------------------------- for-loop [71] 13.7% simplify-expr [67] 86.3% [73] 1470(11.5%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [76] 100.0% ----------------------------------------------------------------------- loop [58] 33.1% ??? [65] 66.9% [74] 724(5.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [79] 67.1% ??? [82] 32.9% ----------------------------------------------------------------------- sort [70] 100.0% [75] 220(1.7%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 errors-score [80] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [73] 100.0% [76] 1470(11.5%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [81] 71.3% loop [84] 28.7% ----------------------------------------------------------------------- ??? [72] 100.0% [77] 1202(9.4%) 974(7.6%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [83] 19.0% ----------------------------------------------------------------------- ??? [72] 100.0% [78] 986(7.7%) 748(5.8%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [83] 24.1% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [74]100.0% [79] 486(3.8%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [82] 100.0% ----------------------------------------------------------------------- loop [75] 100.0% [80] 220(1.7%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [85] 100.0% ----------------------------------------------------------------------- for-loop [81] 50.0% one-iter [76] 50.0% [81] 1048(8.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [81] 50.0% match-e [87] 50.0% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [74] 24.5% ??? [59] 25.5% ??? [79] 50.0% [82] 972(7.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [86] 100.0% ----------------------------------------------------------------------- bfadd [77] 24.5% bfsqrt [78] 25.5% real->bigfloat [66] 50.0% [83] 932(7.3%) 932(7.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- one-iter [76] 100.0% [84] 422(3.3%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [88] 100.0% ----------------------------------------------------------------------- errors-score [80] 100.0% [85] 220(1.7%) 220(1.7%) loop ...hare/racket/collects/racket/list.rkt:551:2 ----------------------------------------------------------------------- ??? [72] 32.6% ??? [82] 67.4% [86] 1442(11.2%) 486(3.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [89] 66.3% ----------------------------------------------------------------------- for-loop [81] 100.0% [87] 1048(8.2%) 624(4.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [90] 21.2% for-loop [92] 19.3% ----------------------------------------------------------------------- loop [84] 100.0% [88] 422(3.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [91] 52.1% for-loop [93] 47.9% ----------------------------------------------------------------------- ??? [86] 100.0% [89] 956(7.4%) 708(5.5%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [95] 25.9% ----------------------------------------------------------------------- match-e [87] 100.0% [90] 222(1.7%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 ??? [96] 100.0% ----------------------------------------------------------------------- apply-match [88] 100.0% [91] 220(1.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 loop! [94] 100.0% ----------------------------------------------------------------------- match-e [87] 100.0% [92] 202(1.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [97] 100.0% ----------------------------------------------------------------------- apply-match [88] 100.0% [93] 202(1.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [94] 100.0% ----------------------------------------------------------------------- for-loop [93] 47.9% merge-egraph-nodes! [91] 52.1% [94] 422(3.3%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [98] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [95] 248(1.9%) 248(1.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- for-loop [90] 100.0% [96] 222(1.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [99] 100.0% ----------------------------------------------------------------------- for-loop [92] 100.0% [97] 202(1.6%) 202(1.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- loop! [94] 100.0% [98] 422(3.3%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [100] 100.0% ----------------------------------------------------------------------- ??? [96] 100.0% [99] 222(1.7%) 222(1.7%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ----------------------------------------------------------------------- custom-set-union [98] 100.0% [100] 422(3.3%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [101] 100.0% ----------------------------------------------------------------------- for-loop [100] 100.0% [101] 422(3.3%) 422(3.3%) for-loop ...cts/racket/private/set-types.rkt:178:5 -----------------------------------------------------------------------