Profiling results ----------------- Total cpu time observed: 25480ms (out of 26112ms) Number of samples taken: 103 (once every 247ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 99 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [24] 100.0% [1] 24852(97.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [24] 100.0% [2] 5788(22.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 finalize-table! [7] 67.3% for-loop [10] 25.6% loop [27] 7.1% ----------------------------------------------------------------------- hash-ref! [40] 100.0% [3] 2226(8.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [8] 100.0% ----------------------------------------------------------------------- hash-ref! [40] 100.0% [4] 1540(6.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [9] 100.0% ----------------------------------------------------------------------- hash-ref! [40] 100.0% [5] 420(1.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [11] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 24852(97.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [24] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 3896(15.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [12] 100.0% ----------------------------------------------------------------------- ??? [3] 100.0% [8] 2226(8.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [40] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [9] 1540(6.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [13] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1482(5.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ----------------------------------------------------------------------- ??? [5] 100.0% [11] 420(1.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [40] 100.0% ----------------------------------------------------------------------- finalize-table! [7] 100.0% [12] 3896(15.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [15] 68.5% loop [50] 21.2% localize-error [18] 5.2% ??? [19] 5.1% ----------------------------------------------------------------------- for-loop [9] 100.0% [13] 1540(6.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [40] 100.0% ----------------------------------------------------------------------- for-loop [10] 100.0% [14] 1482(5.8%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [16] 71.7% gen-series! [17] 28.3% ----------------------------------------------------------------------- post-process [12] 100.0% [15] 2668(10.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [20] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [16] 1062(4.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [21] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [17] 420(1.6%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [22] 100.0% ----------------------------------------------------------------------- post-process [12] 100.0% [18] 202(0.8%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [40] 100.0% ----------------------------------------------------------------------- post-process [12] 100.0% [19] 200(0.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [23] 100.0% ----------------------------------------------------------------------- simplify-node [62] 3.8% for-loop [15] 96.2% [20] 2668(10.5%) 202(0.8%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [25] 96.2% ----------------------------------------------------------------------- simplify! [16] 100.0% [21] 1062(4.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [24] 100.0% ----------------------------------------------------------------------- gen-series! [17] 100.0% [22] 420(1.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [25] 100.0% ----------------------------------------------------------------------- ??? [19] 100.0% [23] 200(0.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [26] 100.0% ----------------------------------------------------------------------- for-loop [21] 1.5% run [6] 48.2% [24] 25480(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 48.2% loop [27] 39.5% run-improve58 [2] 10.8% simplify [29] 1.5% ----------------------------------------------------------------------- for-loop [22] 13.6% append-map [20] 86.4% [25] 3088(12.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [28] 100.0% ----------------------------------------------------------------------- for-loop [23] 100.0% [26] 200(0.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [30] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.0% ??? [24] 98.0% [27] 20102(78.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [31] 58.0% make-exacts* [35] 34.0% loop [36] 8.0% ----------------------------------------------------------------------- taylor-alt [25] 100.0% [28] 3088(12.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [32] 100.0% ----------------------------------------------------------------------- ??? [24] 100.0% [29] 1062(4.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [59] 79.3% for-loop [33] 20.7% ----------------------------------------------------------------------- atab-add-altn [26] 100.0% [30] 200(0.8%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [34] 100.0% ----------------------------------------------------------------------- loop [27] 100.0% [31] 11654(45.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [36] 66.6% make-exacts* [35] 31.7% eval-prog [39] 1.7% ----------------------------------------------------------------------- location-do [32] 4.7% for-loop [28] 95.3% [32] 3088(12.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [37] 95.3% location-do [32] 4.7% ----------------------------------------------------------------------- simplify [29] 100.0% [33] 220(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [64] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [30] 100.0% [34] 200(0.8%) 200(0.8%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- loop [31] 35.1% loop [27] 64.9% [35] 10524(41.3%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [48] 51.3% loop [50] 44.8% eval-prog [39] 4.0% ----------------------------------------------------------------------- loop [27] 17.3% loop [31] 82.7% [36] 9376(36.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [48] 100.0% ----------------------------------------------------------------------- location-do [32] 100.0% [37] 3088(12.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [38] 100.0% ----------------------------------------------------------------------- approximate9 [37] 100.0% [38] 3088(12.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [40] 100.0% ----------------------------------------------------------------------- loop [31] 32.6% make-exacts* [35] 67.4% [39] 620(2.4%) 218(0.9%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [40] 64.8% ----------------------------------------------------------------------- localize-error [18] 1.8% for-loop [11] 2.3% ??? [56] 3.6% eval-prog [39] 4.5% loop [50] 6.4% for-loop [13] 9.9% for-loop [8] 16.1% ??? [41] 27.7% loop [38] 27.7% [40] 3692(14.5%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [41] 27.7% simplify [42] 27.7% ??? [3] 16.1% ??? [4] 9.9% ??? [44] 6.4% bigfloat-hash [43] 4.5% f6 [45] 3.6% ??? [5] 2.3% parse-loop50 [52] 1.8% ----------------------------------------------------------------------- hash-ref! [40] 100.0% [41] 3088(12.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [40] 100.0% ----------------------------------------------------------------------- hash-ref! [40] 100.0% [42] 3088(12.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [52] 71.4% f6 [45] 28.6% ----------------------------------------------------------------------- hash-ref! [40] 100.0% [43] 402(1.6%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bigfloat->sig+exp [46] 50.2% bfcanonicalize [47] 49.8% ----------------------------------------------------------------------- hash-ref! [40] 100.0% [44] 402(1.6%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [50] 100.0% ----------------------------------------------------------------------- parse-loop50 [52] 11.0% hash-ref! [40] 18.6% simplify [42] 70.3% [45] 1086(4.3%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [48] 100.0% ----------------------------------------------------------------------- bigfloat-hash [43] 100.0% [46] 202(0.8%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [49] 100.0% ----------------------------------------------------------------------- bigfloat-hash [43] 100.0% [47] 200(0.8%) 200(0.8%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- parse-loop50 [52] 2.6% f6 [45] 5.4% make-exacts* [35] 33.6% loop [36] 58.4% [48] 16056(63.0%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [50] 92.7% parse-loop50 [52] 5.4% ??? [51] 1.2% ??? [56] 0.6% ----------------------------------------------------------------------- bigfloat->sig+exp [46] 100.0% [49] 202(0.8%) 202(0.8%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 ----------------------------------------------------------------------- make-exacts* [35] 0.0% post-process [12] 0.8% ??? [44] 1.8% parse-loop50 [52] 2.8% map [48] 4.6% loop [50] 89.9% [50] 22000(86.3%) 476(1.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [50] 89.9% parse-loop50 [52] 4.2% ??? [51] 2.5% hash-ref! [40] 1.8% completely-simplify-alt [54] 0.8% make-multiplication-node [55] 0.5% ->flonum [53] 0.1% ??? [56] 0.0% ??? [70] 0.0% ----------------------------------------------------------------------- map [48] 1.2% loop [50] 98.8% [51] 16584(65.1%) 898(3.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [57] 64.6% real->bigfloat [58] 28.7% ----------------------------------------------------------------------- hash-ref! [40] 6.1% loop [50] 12.8% map [48] 16.4% simplify [42] 26.2% parse-loop50 [52] 38.4% [52] 3290(12.9%) 2664(10.5%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [52] 38.4% loop [50] 17.4% map [48] 5.8% f6 [45] 3.6% simplify-node [62] 3.1% ----------------------------------------------------------------------- loop [50] 100.0% [53] 2422(9.5%) 548(2.2%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [81] 64.9% ??? [60] 12.5% ----------------------------------------------------------------------- loop [50] 100.0% [54] 826(3.2%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [59] 100.0% ----------------------------------------------------------------------- loop [50] 100.0% [55] 222(0.9%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [61]100.0% ----------------------------------------------------------------------- loop [50] 50.0% map [48] 50.0% [56] 202(0.8%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [40] 100.0% ----------------------------------------------------------------------- ??? [51] 100.0% [57] 10712(42.0%) 212(0.8%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [70] 47.2% ...higher-order.rkt:369:33 [63] 16.8% bf* [65] 14.6% ...higher-order.rkt:373:33 [66] 10.9% bf<= [67] 8.6% ----------------------------------------------------------------------- ??? [51] 100.0% [58] 4758(18.7%) 3110(12.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [82] 34.6% ----------------------------------------------------------------------- completely-simplify-alt [54] 49.5% simplify [29] 50.5% [59] 1668(6.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [64] 87.9% loop [69] 12.1% ----------------------------------------------------------------------- ->flonum [53] 100.0% [60] 302(1.2%) 302(1.2%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- make-multiplication-node [55] 100.0% [61] 222(0.9%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 group-by68 [68] 100.0% ----------------------------------------------------------------------- parse-loop50 [52] 100.0% [62] 202(0.8%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [20] 100.0% ----------------------------------------------------------------------- ??? [57] 100.0% [63] 1798(7.1%) 238(0.9%) ...higher-order.rkt:369:33 (unknown source) ??? [71] 61.8% ??? [74] 24.9% ----------------------------------------------------------------------- for-loop [33] 13.0% simplify-expr [59] 87.0% [64] 1686(6.6%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [72] 100.0% ----------------------------------------------------------------------- ??? [57] 100.0% [65] 1562(6.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [70] 100.0% ----------------------------------------------------------------------- ??? [57] 100.0% [66] 1172(4.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [71] 100.0% ----------------------------------------------------------------------- ??? [57] 100.0% [67] 916(3.6%) 466(1.8%) bf<= ...h/private/bigfloat/bigfloat-mpfr.rkt:127:4 ??? [81] 49.1% ----------------------------------------------------------------------- make-multiplication-subnode [61]100.0% [68] 222(0.9%) 222(0.9%) group-by68 ...acket/collects/racket/list.rkt:749:0 ----------------------------------------------------------------------- simplify-expr [59] 100.0% [69] 202(0.8%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [73] 100.0% ----------------------------------------------------------------------- loop [50] 3.0% bf* [65] 22.9% ??? [57] 74.1% [70] 6816(26.8%) 420(1.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [75] 37.7% bfsqr [76] 33.8% ??? [81] 22.3% ----------------------------------------------------------------------- ...higher-order.rkt:369:33 [63] 48.7% ...higher-order.rkt:373:33 [66] 51.3% [71] 2284(9.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [74] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [64] 100.0% [72] 1686(6.6%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [77] 61.1% loop [78] 25.9% loop [79] 13.0% ----------------------------------------------------------------------- loop [69] 100.0% [73] 202(0.8%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [80] 100.0% ----------------------------------------------------------------------- ...higher-order.rkt:369:33 [63] 16.4% ??? [71] 83.6% [74] 2732(10.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [81] 100.0% ----------------------------------------------------------------------- ??? [70] 100.0% [75] 2570(10.1%) 1468(5.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [82] 42.9% ----------------------------------------------------------------------- ??? [70] 100.0% [76] 2304(9.0%) 2074(8.1%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [82] 10.0% ----------------------------------------------------------------------- for-loop [77] 40.2% one-iter [72] 59.8% [77] 1030(4.0%) 202(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [77] 40.2% match-e [86] 40.2% ----------------------------------------------------------------------- one-iter [72] 100.0% [78] 436(1.7%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [83] 100.0% ----------------------------------------------------------------------- one-iter [72] 100.0% [79] 220(0.9%) 220(0.9%) loop ...ket/collects/racket/private/list.rkt:264:4 ----------------------------------------------------------------------- pass [73] 100.0% [80] 202(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [84] 100.0% ----------------------------------------------------------------------- bf<= [67] 7.2% ??? [70] 24.3% ->flonum [53] 25.0% ??? [74] 43.5% [81] 6276(24.6%) 3434(13.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [85] 45.3% ----------------------------------------------------------------------- bfsqr [76] 7.7% bfmul [75] 37.0% real->bigfloat [58] 55.3% [82] 2980(11.7%) 2980(11.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- loop [78] 100.0% [83] 436(1.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [86] 50.0% merge-egraph-nodes! [87] 50.0% ----------------------------------------------------------------------- for-loop [80] 100.0% [84] 202(0.8%) 202(0.8%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- ??? [81] 100.0% [85] 2842(11.2%) 1196(4.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [88] 57.9% ----------------------------------------------------------------------- apply-match [83] 20.8% for-loop [77] 79.2% [86] 1046(4.1%) 402(1.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [89] 40.3% custom-in-set [90] 21.2% ----------------------------------------------------------------------- apply-match [83] 100.0% [87] 218(0.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [91] 100.0% ----------------------------------------------------------------------- ??? [85] 100.0% [88] 1646(6.5%) 1646(6.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------- match-e [86] 100.0% [89] 422(1.7%) 204(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [92] 51.7% ----------------------------------------------------------------------- match-e [86] 100.0% [90] 222(0.9%) 222(0.9%) custom-in-set ...acket/private/set-types.rkt:578:0 ----------------------------------------------------------------------- merge-egraph-nodes! [87] 100.0% [91] 218(0.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [93] 100.0% ----------------------------------------------------------------------- for-loop [89] 100.0% [92] 218(0.9%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [94] 100.0% ----------------------------------------------------------------------- update-leader! [91] 100.0% [93] 218(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [95] 100.0% ----------------------------------------------------------------------- list-cartesian-product [92] 100.0% [94] 218(0.9%) 218(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- for-loop [93] 100.0% [95] 218(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [96] 100.0% ----------------------------------------------------------------------- for-loop [95] 100.0% [96] 218(0.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [97] 100.0% ----------------------------------------------------------------------- hash-update! [96] 100.0% [97] 218(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [98] 100.0% ----------------------------------------------------------------------- ??? [97] 100.0% [98] 218(0.9%) 218(0.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 -----------------------------------------------------------------------