Profiling results ----------------- Total cpu time observed: 22828ms (out of 23184ms) Number of samples taken: 92 (once every 248ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [40] 100.0% [1] 21790(95.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% ---------------------------------------------------------------------- ??? [40] 100.0% [2] 5484(24.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [12] 52.1% for-loop [13] 35.4% loop [43] 8.8% get-final-combination [20] 3.7% ---------------------------------------------------------------------- loop [64] 13.1% ??? [40] 86.9% [3] 1544(6.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [14] 71.6% for-loop [19] 15.5% iterate-egraph!5 [24] 12.8% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [4] 1396(6.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [15] 100.0% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [5] 1022(4.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [6] 822(3.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [17] 100.0% ---------------------------------------------------------------------- loop [64] 100.0% [7] 642(2.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [14] 100.0% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [8] 552(2.4%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [64] 100.0% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [9] 402(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [18] 100.0% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [10] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [21] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [11] 21790(95.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [40] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 2858(12.5%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [22] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 1942(8.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [25] 100.0% ---------------------------------------------------------------------- completely-simplify-alt [7] 36.7% simplify [3] 63.3% [14] 1748(7.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [24] 100.0% ---------------------------------------------------------------------- ??? [4] 100.0% [15] 1396(6.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [26] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [16] 1022(4.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [82] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [17] 822(3.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [82] 100.0% ---------------------------------------------------------------------- ??? [9] 100.0% [18] 402(1.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [68] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [19] 240(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [24] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [20] 202(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [27] 100.0% ---------------------------------------------------------------------- ??? [10] 100.0% [21] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [23] 100.0% ---------------------------------------------------------------------- finalize-table! [12] 100.0% [22] 2858(12.5%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [28] 69.8% loop [64] 22.5% localize-error [33] 7.8% ---------------------------------------------------------------------- for-loop [21] 9.0% hash-ref! [82] 91.0% [23] 2218(9.7%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [30] 55.2% parse-loop50 [68] 44.8% ---------------------------------------------------------------------- simplify [3] 9.1% for-loop [19] 11.0% simplify-expr [14] 80.0% [24] 2186(9.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [29] 89.9% map-enodes [34] 10.1% ---------------------------------------------------------------------- for-loop [13] 100.0% [25] 1942(8.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [31] 69.1% gen-series! [32] 30.9% ---------------------------------------------------------------------- for-loop [15] 100.0% [26] 1396(6.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [82] 100.0% ---------------------------------------------------------------------- get-final-combination [20] 100.0% [27] 202(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [64] 100.0% ---------------------------------------------------------------------- post-process [22] 100.0% [28] 1994(8.7%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [35] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [29] 1966(8.6%) 220(1.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [37] 54.9% loop [38] 33.9% ---------------------------------------------------------------------- parse-loop50 [68] 13.2% hash-ref! [82] 13.3% simplify [23] 73.5% [30] 1666(7.3%) 402(1.8%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [60] 75.9% ---------------------------------------------------------------------- run-iter! [25] 100.0% [31] 1342(5.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [36] 100.0% ---------------------------------------------------------------------- run-iter! [25] 100.0% [32] 600(2.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [39] 100.0% ---------------------------------------------------------------------- post-process [22] 100.0% [33] 222(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [82] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [34] 220(1.0%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [64] 100.0% ---------------------------------------------------------------------- for-loop [28] 100.0% [35] 1994(8.7%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [41] 100.0% ---------------------------------------------------------------------- simplify! [31] 100.0% [36] 1342(5.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [40] 100.0% ---------------------------------------------------------------------- for-loop [37] 50.0% one-iter [29] 50.0% [37] 1080(4.7%) 202(0.9%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [37] 50.0% match-e [45] 40.6% ---------------------------------------------------------------------- one-iter [29] 100.0% [38] 666(2.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [42] 100.0% ---------------------------------------------------------------------- gen-series! [32] 100.0% [39] 600(2.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [41] 100.0% ---------------------------------------------------------------------- for-loop [36] 2.1% run [11] 46.9% [40] 22828(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.9% loop [43] 39.8% run-improve58 [2] 11.2% simplify [3] 2.1% ---------------------------------------------------------------------- for-loop [39] 23.1% append-map [35] 76.9% [41] 2594(11.4%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [44] 100.0% ---------------------------------------------------------------------- loop [38] 100.0% [42] 666(2.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [45] 36.3% update-leader! [46] 33.3% loop! [47] 30.3% ---------------------------------------------------------------------- run-improve58 [2] 2.7% ??? [40] 97.3% [43] 17826(78.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [48] 50.2% make-exacts* [54] 39.6% loop [55] 10.2% ---------------------------------------------------------------------- taylor-alt [41] 100.0% [44] 2594(11.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% ---------------------------------------------------------------------- for-loop [52] 9.8% apply-match [42] 21.6% for-loop [37] 68.6% [45] 1120(4.9%) 220(1.0%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [50] 52.9% loop [64] 17.7% for-loop [52] 9.8% ---------------------------------------------------------------------- apply-match [42] 100.0% [46] 222(1.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 mutable-set [51] 100.0% ---------------------------------------------------------------------- apply-match [42] 100.0% [47] 202(0.9%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [53] 100.0% ---------------------------------------------------------------------- loop [43] 100.0% [48] 8940(39.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [55] 50.4% make-exacts* [54] 40.6% eval-prog [62] 9.0% ---------------------------------------------------------------------- location-do [49] 12.0% for-loop [44] 88.0% [49] 2594(11.4%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 88.0% location-do [49] 12.0% ---------------------------------------------------------------------- match-e [45] 100.0% [50] 702(3.1%) 240(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [57] 34.5% curry* [58] 31.3% ---------------------------------------------------------------------- update-leader! [46] 100.0% [51] 222(1.0%) 222(1.0%) mutable-set ...racket/private/set-types.rkt:1000:0 ---------------------------------------------------------------------- match-e [45] 100.0% [52] 220(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 100.0% ---------------------------------------------------------------------- loop! [47] 100.0% [53] 202(0.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [59] 100.0% ---------------------------------------------------------------------- loop [48] 34.0% loop [43] 66.0% [54] 10700(46.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [60] 58.6% loop [64] 39.3% eval-prog [62] 2.1% ---------------------------------------------------------------------- loop [43] 28.8% loop [48] 71.2% [55] 6322(27.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% ---------------------------------------------------------------------- location-do [49] 100.0% [56] 2594(11.4%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [61] 100.0% ---------------------------------------------------------------------- for-loop [50] 100.0% [57] 242(1.1%) 242(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- for-loop [50] 100.0% [58] 220(1.0%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [63] 100.0% ---------------------------------------------------------------------- custom-set-union [53] 100.0% [59] 202(0.9%) 202(0.9%) for-loop ...cts/racket/private/set-types.rkt:152:2 ---------------------------------------------------------------------- parse-loop50 [68] 2.2% f16 [30] 8.2% make-exacts* [54] 44.6% loop [55] 45.0% [60] 14058(61.6%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [64] 91.8% parse-loop50 [68] 7.4% ??? [66] 0.8% ---------------------------------------------------------------------- approximate9 [56] 100.0% [61] 2594(11.4%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [82] 100.0% ---------------------------------------------------------------------- make-exacts* [54] 21.9% loop [48] 78.1% [62] 1030(4.5%) 252(1.1%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [82] 53.6% inductor [65] 21.9% ---------------------------------------------------------------------- curry* [58] 100.0% [63] 220(1.0%) 220(1.0%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------- map-enodes [34] 0.3% post-process [22] 0.5% make-exacts* [54] 0.8% match-e [45] 1.0% extract-alt [27] 1.0% parse-loop50 [68] 1.9% map [60] 2.4% ??? [8] 2.8% loop [64] 89.2% [64] 19434(85.1%) 292(1.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [64] 89.2% parse-loop50 [68] 2.9% hash-ref! [82] 2.8% ??? [67] 2.1% simplify [3] 1.0% foldl [72] 1.0% completely-simplify-alt [7] 0.5% set-precompute! [71] 0.3% ->flonum [69] 0.0% ??? [81] 0.0% ---------------------------------------------------------------------- eval-prog [62] 33.3% inductor [65] 66.7% [65] 226(1.0%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [65] 66.7% integer->bigfloat [70] 33.3% ---------------------------------------------------------------------- map [60] 100.0% [66] 222(1.0%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [82] 100.0% ---------------------------------------------------------------------- loop [64] 100.0% [67] 15790(69.2%) 870(3.8%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [73] 68.4% real->bigfloat [74] 20.1% new [75] 3.2% ??? [92] 2.9% ---------------------------------------------------------------------- loop [64] 10.9% simplify [23] 15.7% for-loop [18] 18.1% map [60] 20.8% parse-loop50 [68] 34.5% [68] 2218(9.7%) 1594(7.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [68] 34.5% for-loop [76] 18.1% loop [64] 7.8% map [60] 5.0% parse-app [78] 3.3% f16 [30] 2.0% ---------------------------------------------------------------------- loop [64] 100.0% [69] 714(3.1%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 66.9% ??? [77] 33.1% ---------------------------------------------------------------------- inductor [65] 100.0% [70] 226(1.0%) 226(1.0%) integer->bigfloat ...ivate/bigfloat/mpfr.rkt:399:0 ---------------------------------------------------------------------- loop [64] 100.0% [71] 220(1.0%) 0(0.0%) set-precompute! ...bie/src/core/simplify.rkt:160:0 make-sequence [79] 100.0% ---------------------------------------------------------------------- loop [64] 100.0% [72] 198(0.9%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [80] 100.0% ---------------------------------------------------------------------- ??? [67] 100.0% [73] 10800(47.3%) 236(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [81] 62.6% bf<= [83] 14.5% ...higher-order.rkt:373:33 [84] 12.4% ...higher-order.rkt:369:33 [85] 8.3% ---------------------------------------------------------------------- ??? [67] 100.0% [74] 3166(13.9%) 2860(12.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [91] 9.7% ---------------------------------------------------------------------- ??? [67] 100.0% [75] 502(2.2%) 502(2.2%) new ...cket/contract/private/case-arrow.rkt:227:53 ---------------------------------------------------------------------- parse-loop50 [68] 100.0% [76] 402(1.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [82] 100.0% ---------------------------------------------------------------------- ->flonum [69] 100.0% [77] 236(1.0%) 236(1.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ---------------------------------------------------------------------- parse-loop50 [68] 100.0% [78] 222(1.0%) 222(1.0%) parse-app .../collects/racket/private/kw.rkt:903:2 ---------------------------------------------------------------------- set-precompute! [71] 100.0% [79] 220(1.0%) 220(1.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- foldl [72] 100.0% [80] 198(0.9%) 198(0.9%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- loop [64] 3.2% ??? [73] 96.8% [81] 6986(30.6%) 1586(6.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfexpt [86] 39.3% bfsqr [89] 21.3% ??? [94] 16.7% ---------------------------------------------------------------------- for-loop [76] 2.0% ??? [66] 3.3% localize-error [33] 3.3% for-loop [17] 4.5% for-loop [16] 6.0% eval-prog [62] 7.0% loop [64] 9.4% for-loop [26] 9.7% ??? [87] 21.9% loop [61] 33.0% [82] 3368(14.8%) 616(2.7%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [87] 21.9% simplify [23] 20.9% ??? [4] 9.7% ??? [8] 9.4% f16 [30] 6.6% ??? [5] 6.0% bigfloat-hash [90] 4.6% ??? [6] 4.5% ??? [9] 2.0% ??? [10] 1.0% ---------------------------------------------------------------------- ??? [73] 100.0% [83] 1564(6.9%) 202(0.9%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [94] 87.1% ---------------------------------------------------------------------- ??? [73] 100.0% [84] 1344(5.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [88] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [85] 892(3.9%) 218(1.0%) ...higher-order.rkt:369:33 (unknown source) ??? [92] 50.7% ??? [88] 24.9% ---------------------------------------------------------------------- ??? [81] 100.0% [86] 2744(12.0%) 1398(6.1%) bfexpt ...lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [91] 49.1% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [87] 2218(9.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [82] 100.0% ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [85] 14.2% ...higher-order.rkt:373:33 [84] 85.8% [88] 1566(6.9%) 216(0.9%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [92] 86.2% ---------------------------------------------------------------------- ??? [81] 100.0% [89] 1486(6.5%) 798(3.5%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [91] 46.3% ---------------------------------------------------------------------- hash-ref! [82] 100.0% [90] 312(1.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [93] 100.0% ---------------------------------------------------------------------- real->bigfloat [74] 13.1% bfsqr [89] 29.4% bfexpt [86] 57.5% [91] 2340(10.3%) 2340(10.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [85] 20.1% ??? [67] 20.1% ??? [88] 59.9% [92] 2254(9.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ---------------------------------------------------------------------- bigfloat-hash [90] 100.0% [93] 312(1.4%) 312(1.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- ->flonum [69] 9.1% ??? [81] 22.2% bf<= [83] 25.9% ??? [92] 42.8% [94] 5264(23.1%) 3194(14.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 39.3% ---------------------------------------------------------------------- ??? [94] 100.0% [95] 2070(9.1%) 952(4.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 54.0% ---------------------------------------------------------------------- ??? [95] 100.0% [96] 1118(4.9%) 1118(4.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------