Profiling results ----------------- Total cpu time observed: 20812ms (out of 21172ms) Number of samples taken: 89 (once every 234ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [38] 100.0% [1] 20366(97.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ----------------------------------------------------------------------- ??? [38] 100.0% [2] 7504(36.1%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 94.6% loop [43] 2.8% get-final-combination [19] 2.7% ----------------------------------------------------------------------- loop [77] 5.5% ??? [38] 94.5% [3] 3624(17.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [13] 53.7% iterate-egraph!5 [21] 34.7% for-loop [17] 11.6% ----------------------------------------------------------------------- location-do [50] 100.0% [4] 2874(13.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [12] 92.3% f37 [68] 7.7% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [5] 1608(7.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [6] 802(3.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [7] 422(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [16] 100.0% ----------------------------------------------------------------------- f37 [68] 100.0% [8] 220(1.1%) 0(0.0%) loop .../ztatlock/herbie/src/core/taylor.rkt:262:2 hash-ref! [62] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [9] 218(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [18] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [10] 20366(97.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [38] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 7096(34.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% ----------------------------------------------------------------------- approximate9 [4] 100.0% [12] 2654(12.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [62] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [13] 1946(9.4%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [21] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [14] 1608(7.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [62] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [15] 802(3.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [22] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [16] 422(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [75] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [17] 420(2.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [21] 100.0% ----------------------------------------------------------------------- ??? [9] 100.0% [18] 218(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [62] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [19] 200(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [23] 100.0% ----------------------------------------------------------------------- for-loop [11] 100.0% [20] 7096(34.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [24] 48.3% gen-series! [26] 40.5% finalize-iter! [27] 8.5% localize-error [30] 2.8% ----------------------------------------------------------------------- for-loop [17] 11.6% simplify [3] 34.7% simplify-expr [13] 53.7% [21] 3624(17.4%) 202(1.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [25] 82.8% map-enodes [28] 6.1% *simplify-rules* [29] 5.5% ----------------------------------------------------------------------- for-loop [15] 100.0% [22] 802(3.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [62] 100.0% ----------------------------------------------------------------------- get-final-combination [19] 100.0% [23] 200(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [77] 100.0% ----------------------------------------------------------------------- run-iter! [20] 100.0% [24] 3424(16.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [25] 3002(14.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 79.5% loop [35] 13.8% loop [37] 6.7% ----------------------------------------------------------------------- run-iter! [20] 100.0% [26] 2874(13.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [32] 100.0% ----------------------------------------------------------------------- run-iter! [20] 100.0% [27] 600(2.9%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [34] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [28] 220(1.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [77] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [21] 100.0% [29] 200(1.0%) 0(0.0%) *simplify-rules* ...bie/src/syntax/rules.rkt:300:0 for-loop [36] 100.0% ----------------------------------------------------------------------- run-iter! [20] 100.0% [30] 198(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [62] 100.0% ----------------------------------------------------------------------- simplify! [24] 100.0% [31] 3424(16.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [38] 100.0% ----------------------------------------------------------------------- gen-series! [26] 100.0% [32] 2874(13.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [39] 100.0% ----------------------------------------------------------------------- for-loop [33] 45.8% one-iter [25] 54.2% [33] 2388(11.5%) 420(2.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 45.8% match-e [40] 41.2% ----------------------------------------------------------------------- finalize-iter! [27] 100.0% [34] 600(2.9%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [41] 100.0% ----------------------------------------------------------------------- one-iter [25] 100.0% [35] 414(2.0%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [42] 100.0% ----------------------------------------------------------------------- *simplify-rules* [29] 100.0% [36] 200(1.0%) 200(1.0%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ----------------------------------------------------------------------- one-iter [25] 100.0% [37] 200(1.0%) 200(1.0%) loop ...ket/collects/racket/private/list.rkt:264:4 ----------------------------------------------------------------------- for-loop [31] 5.6% run [10] 46.3% [38] 20812(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.3% loop [43] 32.6% run-improve58 [2] 15.4% simplify [3] 5.6% ----------------------------------------------------------------------- for-loop [32] 100.0% [39] 2874(13.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% ----------------------------------------------------------------------- for-loop [52] 10.2% for-loop [33] 89.8% [40] 1968(9.5%) 1124(5.4%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [46] 22.5% curry* [48] 10.3% for-loop [52] 10.2% ----------------------------------------------------------------------- ??? [34] 100.0% [41] 600(2.9%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [45] 100.0% ----------------------------------------------------------------------- loop [35] 100.0% [42] 414(2.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [47] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 1.5% ??? [38] 98.5% [43] 13516(64.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [49] 45.7% make-exacts* [57] 41.1% loop [58] 13.2% ----------------------------------------------------------------------- taylor-alt [39] 100.0% [44] 2874(13.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [50] 100.0% ----------------------------------------------------------------------- for-loop [41] 100.0% [45] 600(2.9%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [51] 100.0% ----------------------------------------------------------------------- match-e [40] 100.0% [46] 442(2.1%) 242(1.2%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [52] 22.6% list-cartesian-product [55] 22.6% ----------------------------------------------------------------------- apply-match [42] 100.0% [47] 414(2.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 enode-merge! [53] 51.7% update-leader! [56] 48.3% ----------------------------------------------------------------------- match-e [40] 100.0% [48] 202(1.0%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [54] 100.0% ----------------------------------------------------------------------- loop [43] 100.0% [49] 6174(29.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [57] 45.9% loop [58] 39.0% eval-prog [59] 15.1% ----------------------------------------------------------------------- for-loop [44] 33.5% location-do [50] 66.5% [50] 2874(13.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [50] 66.5% approximate9 [4] 33.5% ----------------------------------------------------------------------- atab-add-altn [45] 100.0% [51] 600(2.9%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [60] 67.0% for-loop [61] 33.0% ----------------------------------------------------------------------- for-loop [46] 50.0% match-e [40] 50.0% [52] 400(1.9%) 200(1.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [40] 75.0% ----------------------------------------------------------------------- merge-egraph-nodes! [47] 100.0% [53] 214(1.0%) 214(1.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 ----------------------------------------------------------------------- curry* [48] 100.0% [54] 202(1.0%) 202(1.0%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------- list-cartesian-product [55] 50.0% for-loop [46] 50.0% [55] 200(1.0%) 200(1.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [55] 50.0% ----------------------------------------------------------------------- merge-egraph-nodes! [47] 100.0% [56] 200(1.0%) 200(1.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 ----------------------------------------------------------------------- loop [49] 33.8% loop [43] 66.2% [57] 8396(40.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [72] 55.4% loop [77] 44.6% ----------------------------------------------------------------------- loop [43] 42.5% loop [49] 57.5% [58] 4190(20.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [72] 100.0% ----------------------------------------------------------------------- loop [49] 100.0% [59] 930(4.5%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [62] 77.2% inductor [92] 22.8% ----------------------------------------------------------------------- best-and-tied-at-points [51] 100.0% [60] 402(1.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [63] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [51] 100.0% [61] 198(1.0%) 198(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- localize-error [30] 1.3% for-loop [18] 1.9% for-loop [78] 2.8% ??? [82] 3.9% for-loop [22] 4.6% loop [8] 5.8% eval-prog [59] 8.2% loop [77] 10.8% for-loop [14] 13.6% ??? [65] 23.5% loop [12] 23.5% [62] 3790(18.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [64] 29.3% ??? [65] 23.5% ??? [5] 13.6% ??? [67] 10.8% bigfloat-hash [66] 8.2% ??? [6] 4.6% ??? [7] 2.8% parse-loop50 [75] 2.6% f37 [68] 2.6% ??? [9] 1.9% ----------------------------------------------------------------------- errors [60] 100.0% [63] 402(1.9%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [80] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [64] 2874(13.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [68] 64.5% parse-loop50 [75] 28.5% debug-print [71] 7.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [65] 2654(12.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [62] 100.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [66] 718(3.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [69] 71.0% bfcanonicalize [70] 29.0% ----------------------------------------------------------------------- hash-ref! [62] 100.0% [67] 510(2.5%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [77] 100.0% ----------------------------------------------------------------------- f37 [68] 3.6% approximate9 [4] 3.6% loop [77] 4.9% parse-loop50 [75] 7.4% hash-ref! [62] 9.6% map [72] 10.3% simplify [64] 60.6% [68] 2052(9.9%) 424(2.0%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [72] 82.5% f37 [68] 3.6% loop [8] 3.6% ----------------------------------------------------------------------- bigfloat-hash [66] 100.0% [69] 510(2.5%) 264(1.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [73] 48.2% ----------------------------------------------------------------------- bigfloat-hash [66] 100.0% [70] 208(1.0%) 208(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- simplify [64] 100.0% [71] 200(1.0%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [74] 100.0% ----------------------------------------------------------------------- parse-loop50 [75] 0.9% f37 [68] 17.9% loop [58] 38.5% make-exacts* [57] 42.7% [72] 10896(52.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [77] 83.0% parse-loop50 [75] 11.1% f37 [68] 3.0% simplify-node [76] 2.0% ??? [82] 0.9% ----------------------------------------------------------------------- sig+exp->bigfloat [69] 100.0% [73] 246(1.2%) 246(1.2%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ----------------------------------------------------------------------- debug-print [71] 100.0% [74] 200(1.0%) 200(1.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- hash-ref! [62] 6.9% loop [77] 7.0% for-loop [16] 14.8% simplify [64] 18.8% parse-loop50 [75] 20.5% map [72] 31.9% [75] 2852(13.7%) 2030(9.8%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [75] 20.5% loop [77] 19.3% for-loop [78] 14.8% f37 [68] 7.1% map [72] 1.8% ----------------------------------------------------------------------- map [72] 100.0% [76] 220(1.1%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 constant? [79] 100.0% ----------------------------------------------------------------------- make-exacts* [57] 0.3% map-enodes [28] 0.8% extract-alt [23] 1.4% map [72] 2.3% parse-loop50 [75] 3.0% ??? [67] 3.5% loop [77] 88.7% [77] 14518(69.8%) 224(1.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [77] 88.7% hash-ref! [62] 3.5% parse-loop50 [75] 3.5% simplify [3] 1.4% ??? [80] 1.1% for-loop [81] 0.8% f37 [68] 0.7% ??? [82] 0.2% ??? [90] 0.1% ----------------------------------------------------------------------- parse-loop50 [75] 100.0% [78] 422(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [62] 100.0% ----------------------------------------------------------------------- simplify-node [76] 100.0% [79] 220(1.1%) 220(1.1%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ----------------------------------------------------------------------- for-loop [63] 3.1% loop [77] 96.9% [80] 12764(61.3%) 882(4.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 71.0% real->bigfloat [84] 15.1% ??? [94] 5.2% new [85] 1.8% ----------------------------------------------------------------------- loop [77] 100.0% [81] 220(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [86] 100.0% ----------------------------------------------------------------------- map [72] 33.3% loop [77] 66.7% [82] 198(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [62] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [83] 9066(43.6%) 202(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 50.2% bf* [87] 32.3% ...higher-order.rkt:373:33 [88] 15.2% ----------------------------------------------------------------------- ??? [80] 100.0% [84] 1924(9.2%) 1924(9.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- ??? [80] 100.0% [85] 226(1.1%) 226(1.1%) new ...cket/contract/private/case-arrow.rkt:227:53 ----------------------------------------------------------------------- for-loop [81] 100.0% [86] 220(1.1%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [89] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [87] 2928(14.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [88] 1382(6.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ----------------------------------------------------------------------- eval-const-expr [86] 100.0% [89] 220(1.1%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [92] 100.0% ----------------------------------------------------------------------- loop [77] 2.6% bf* [87] 38.1% ??? [83] 59.3% [90] 7680(36.9%) 2020(9.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [93] 50.3% ??? [96] 23.4% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [88]100.0% [91] 1382(6.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ----------------------------------------------------------------------- eval-prog [59] 12.3% expression-induct31 [89] 25.5% inductor [92] 62.3% [92] 432(2.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [92] 62.3% ??? [94] 25.5% loop [95] 12.3% ----------------------------------------------------------------------- ??? [90] 100.0% [93] 3860(18.5%) 2596(12.5%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 32.7% ----------------------------------------------------------------------- inductor [92] 9.7% ??? [80] 29.4% ??? [91] 60.9% [94] 2268(10.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ----------------------------------------------------------------------- inductor [92] 100.0% [95] 212(1.0%) 212(1.0%) loop ...h-lib/math/private/bigfloat/mpfr.rkt:435:9 ----------------------------------------------------------------------- ??? [90] 44.2% ??? [94] 55.8% [96] 4068(19.5%) 1314(6.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 61.9% ??? [99] 5.8% ----------------------------------------------------------------------- bfexpt [93] 100.0% [97] 1264(6.1%) 1264(6.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [96] 100.0% [98] 2518(12.1%) 1886(9.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 25.1% ----------------------------------------------------------------------- ??? [96] 100.0% [99] 236(1.1%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [101] 100.0% ----------------------------------------------------------------------- ??? [98] 100.0% [100] 632(3.0%) 632(3.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- ??? [99] 100.0% [101] 236(1.1%) 236(1.1%) ??? ...lects/racket/contract/private/orc.rkt:73:14 -----------------------------------------------------------------------