Profiling results ----------------- Total cpu time observed: 21518ms (out of 21908ms) Number of samples taken: 91 (once every 236ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [36] 100.0% [1] 20634(95.9%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [9] 100.0% --------------------------------------------------------------------- ??? [36] 100.0% [2] 5374(25.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [10] 35.5% get-final-combination [11] 29.3% finalize-table! [12] 29.1% loop [41] 6.2% --------------------------------------------------------------------- loop [76] 12.6% ??? [36] 87.4% [3] 1550(7.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [13] 73.4% for-loop [16] 13.9% iterate-egraph!5 [19] 12.6% --------------------------------------------------------------------- location-do [48] 100.0% [4] 1108(5.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [14] 67.5% f94 [72] 32.5% --------------------------------------------------------------------- map [60] 31.7% loop [76] 68.3% [5] 408(1.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 map [60] 52.5% hash-ref! [66] 47.5% --------------------------------------------------------------------- hash-ref! [66] 100.0% [6] 370(1.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [7] 196(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [17] 100.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [8] 182(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [18] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 98.8% [9] 20886(97.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [36] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [10] 1908(8.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [20] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 1572(7.3%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 split-table [22] 87.5% extract-alt [23] 12.5% --------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 1562(7.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [21] 100.0% --------------------------------------------------------------------- completely-simplify-alt [82] 26.1% simplify [3] 73.9% [13] 1540(7.2%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [19] 100.0% --------------------------------------------------------------------- approximate9 [4] 100.0% [14] 748(3.5%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [66] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [15] 370(1.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [66] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [16] 216(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [19] 100.0% --------------------------------------------------------------------- ??? [7] 100.0% [17] 196(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [66] 100.0% --------------------------------------------------------------------- ??? [8] 100.0% [18] 182(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [67] 100.0% --------------------------------------------------------------------- simplify [3] 10.0% for-loop [16] 11.1% simplify-expr [13] 78.9% [19] 1952(9.1%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [24] 100.0% --------------------------------------------------------------------- for-loop [10] 100.0% [20] 1908(8.9%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [26] 71.0% gen-series! [29] 18.9% localize-error [28] 10.2% --------------------------------------------------------------------- finalize-table! [12] 100.0% [21] 1562(7.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [27] 47.9% loop [76] 38.4% localize-error [28] 13.7% --------------------------------------------------------------------- get-final-combination [11] 100.0% [22] 1376(6.4%) 0(0.0%) split-table .../ztatlock/herbie/src/glue.rkt:171:0 infer-splitpoints4 [25] 100.0% --------------------------------------------------------------------- get-final-combination [11] 100.0% [23] 196(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [76] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [19] 100.0% [24] 1952(9.1%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [32] 61.8% apply-match [40] 20.2% loop [35] 18.0% --------------------------------------------------------------------- split-table [22] 100.0% [25] 1376(6.4%) 0(0.0%) infer-splitpoints4 ...ie/src/core/regimes.rkt:19:0 option-on-expr [30] 100.0% --------------------------------------------------------------------- run-iter! [20] 100.0% [26] 1354(6.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [31] 100.0% --------------------------------------------------------------------- post-process [21] 100.0% [27] 748(3.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [33] 100.0% --------------------------------------------------------------------- run-iter! [20] 47.5% post-process [21] 52.5% [28] 408(1.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [66] 100.0% --------------------------------------------------------------------- run-iter! [20] 100.0% [29] 360(1.7%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% --------------------------------------------------------------------- infer-splitpoints4 [25] 100.0% [30] 1376(6.4%) 0(0.0%) option-on-expr ...erbie/src/core/regimes.rkt:106:0 sort-context-on-expr [37] 100.0% --------------------------------------------------------------------- simplify! [26] 100.0% [31] 1354(6.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [36] 100.0% --------------------------------------------------------------------- for-loop [32] 50.0% one-iter [24] 50.0% [32] 1206(5.6%) 216(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [32] 50.0% match-e [39] 41.0% --------------------------------------------------------------------- for-loop [27] 100.0% [33] 748(3.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [38] 100.0% --------------------------------------------------------------------- gen-series! [29] 100.0% [34] 360(1.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% --------------------------------------------------------------------- one-iter [24] 100.0% [35] 352(1.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [40] 100.0% --------------------------------------------------------------------- for-loop [31] 2.1% run [9] 48.6% [36] 21286(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.4% loop [41] 38.5% run-improve58 [2] 12.0% simplify [3] 2.1% --------------------------------------------------------------------- option-on-expr [30] 100.0% [37] 1376(6.4%) 0(0.0%) sort-context-on-expr ...herbie/src/points.rkt:50:0 sort [42] 100.0% --------------------------------------------------------------------- for-loop [34] 32.5% append-map [33] 67.5% [38] 1108(5.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [43] 100.0% --------------------------------------------------------------------- for-loop [51] 9.9% for-loop [32] 90.1% [39] 990(4.6%) 794(3.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 19.8% --------------------------------------------------------------------- loop [35] 47.2% one-iter [24] 52.8% [40] 746(3.5%) 198(0.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [44] 73.5% --------------------------------------------------------------------- run-improve58 [2] 2.0% ??? [36] 98.0% [41] 16244(75.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [46] 53.4% make-exacts* [54] 30.9% loop [55] 14.1% filter-exacts [49] 1.6% --------------------------------------------------------------------- sort-context-on-expr [37] 100.0% [42] 1376(6.4%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 copying-mergesort [47] 86.8% loop [56] 13.2% --------------------------------------------------------------------- taylor-alt [38] 100.0% [43] 1108(5.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% --------------------------------------------------------------------- for-loop [53] 10.7% merge-egraph-nodes! [44] 10.7% apply-match [40] 78.6% [44] 548(2.5%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [50] 35.8% enode-merge! [52] 32.1% merge-egraph-nodes! [44] 10.7% for-loop [53] 10.7% loop! [84] 10.7% --------------------------------------------------------------------- match-e [39] 100.0% [45] 196(0.9%) 196(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [51] 50.0% --------------------------------------------------------------------- loop [41] 100.0% [46] 8682(40.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [55] 58.2% make-exacts* [54] 36.1% eval-prog [64] 5.6% --------------------------------------------------------------------- copying-mergesort [47] 42.0% sort [42] 58.0% [47] 1194(5.5%) 0(0.0%) copying-mergesort .../racket/private/sort.rkt:91:4 loop [56] 58.0% copying-mergesort [47] 42.0% --------------------------------------------------------------------- for-loop [43] 33.0% location-do [48] 67.0% [48] 1108(5.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [48] 67.0% approximate9 [4] 33.0% --------------------------------------------------------------------- loop [41] 100.0% [49] 252(1.2%) 0(0.0%) filter-exacts ...tlock/herbie/src/points.rkt:108:0 for-loop [57] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [50] 196(0.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 make-sequence [58] 100.0% --------------------------------------------------------------------- for-loop [45] 100.0% [51] 196(0.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [39] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [52] 176(0.8%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [59] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [44] 100.0% [53] 176(0.8%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 merge-egraph-nodes! [44] 100.0% --------------------------------------------------------------------- loop [46] 38.5% loop [41] 61.5% [54] 8156(37.9%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [76] 60.3% map [60] 37.0% eval-prog [64] 2.7% --------------------------------------------------------------------- loop [41] 31.2% loop [46] 68.8% [55] 7346(34.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% --------------------------------------------------------------------- sort [42] 13.2% copying-mergesort [47] 86.8% [56] 1376(6.4%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 ??? [61] 100.0% --------------------------------------------------------------------- filter-exacts [49] 100.0% [57] 252(1.2%) 252(1.2%) for-loop ...e/ztatlock/herbie/src/points.rkt:111:4 --------------------------------------------------------------------- update-leader! [50] 100.0% [58] 196(0.9%) 0(0.0%) make-sequence ...ects/racket/private/for.rkt:508:2 ??? [62] 100.0% --------------------------------------------------------------------- enode-merge! [52] 100.0% [59] 176(0.8%) 0(0.0%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 custom-set-union [63] 100.0% --------------------------------------------------------------------- parse-loop12 [73] 1.7% f94 [72] 1.8% ??? [5] 2.0% make-exacts* [54] 27.5% loop [55] 67.0% [60] 10958(50.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [76] 93.1% ->flonum [81] 2.0% ??? [5] 1.8% parse-loop12 [73] 1.7% ??? [80] 1.5% --------------------------------------------------------------------- loop [56] 100.0% [61] 1376(6.4%) 188(0.9%) ??? /home/ztatlock/herbie/src/points.rkt:52:27 eval-prog [64] 86.3% --------------------------------------------------------------------- make-sequence [58] 100.0% [62] 196(0.9%) 196(0.9%) ??? ...acket/collects/racket/private/for.rkt:428:7 --------------------------------------------------------------------- adopt-enode! [59] 100.0% [63] 176(0.8%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [65] 100.0% --------------------------------------------------------------------- make-exacts* [54] 11.6% loop [46] 25.8% ??? [61] 62.6% [64] 1898(8.8%) 1188(5.5%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [66] 37.4% --------------------------------------------------------------------- custom-set-union [63] 100.0% [65] 176(0.8%) 176(0.8%) for-loop ...cts/racket/private/set-types.rkt:174:3 --------------------------------------------------------------------- ??? [71] 3.3% for-loop [17] 3.5% for-loop [15] 6.6% ??? [5] 7.8% ??? [68] 13.4% loop [14] 13.4% eval-prog [64] 13.5% localize-error [28] 14.1% loop [76] 24.5% [66] 1866(8.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [70] 24.5% parse-loop12 [73] 16.7% bigfloat-hash [69] 13.5% ??? [68] 13.4% simplify [67] 10.1% ??? [6] 6.6% f94 [72] 5.2% ??? [7] 3.5% ??? [71] 3.3% ??? [8] 3.3% --------------------------------------------------------------------- for-loop [18] 19.5% taylor-sqrt [78] 19.9% hash-ref! [66] 60.6% [67] 934(4.3%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [73] 40.0% f94 [72] 39.0% debug-print [88] 21.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [68] 748(3.5%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [66] 100.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [69] 710(3.3%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [74] 61.7% sig+exp->bigfloat [75] 38.3% --------------------------------------------------------------------- hash-ref! [66] 100.0% [70] 710(3.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [76] 100.0% --------------------------------------------------------------------- hash-ref! [66] 100.0% [71] 182(0.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:357:30 hash-ref! [66] 100.0% --------------------------------------------------------------------- f94 [72] 9.5% hash-ref! [66] 21.1% approximate9 [4] 29.7% simplify [67] 39.7% [72] 918(4.3%) 364(1.7%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [60] 21.1% taylor-sqrt [78] 20.3% f94 [72] 9.5% taylor [79] 9.5% --------------------------------------------------------------------- map [60] 6.0% parse-loop12 [73] 12.0% simplify [67] 29.8% hash-ref! [66] 52.2% [73] 782(3.6%) 374(1.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [76] 52.2% parse-loop12 [73] 12.0% map [60] 6.0% --------------------------------------------------------------------- bigfloat-hash [69] 100.0% [74] 438(2.0%) 218(1.0%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [77] 50.2% --------------------------------------------------------------------- bigfloat-hash [69] 100.0% [75] 272(1.3%) 272(1.3%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- parse-loop12 [73] 0.1% loop! [84] 0.2% extract-alt [23] 1.1% make-exacts* [54] 1.5% post-process [21] 1.5% map [60] 2.7% ??? [70] 4.1% loop [76] 88.7% [76] 17208(80.0%) 214(1.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [76] 88.7% hash-ref! [66] 4.1% ??? [80] 4.1% completely-simplify-alt [82] 1.5% simplify [3] 1.1% loop! [84] 0.2% ??? [5] 0.1% ??? [90] 0.0% ->flonum [81] 0.0% --------------------------------------------------------------------- bfcanonicalize [74] 100.0% [77] 220(1.0%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 new-mpz [83] 100.0% --------------------------------------------------------------------- f94 [72] 100.0% [78] 186(0.9%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [67] 100.0% --------------------------------------------------------------------- f94 [72] 100.0% [79] 174(0.8%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [88] 100.0% --------------------------------------------------------------------- map [60] 1.1% loop [76] 98.9% [80] 14296(66.4%) 2266(10.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [85] 62.7% real->bigfloat [86] 18.2% ...e/case-arrow.rkt:150:50 [89] 1.7% ??? [95] 1.6% --------------------------------------------------------------------- map [60] 21.7% loop [76] 78.3% [81] 986(4.6%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [87] 74.6% ??? [96] 25.4% --------------------------------------------------------------------- loop [76] 100.0% [82] 600(2.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [13] 67.0% debug-print [88] 33.0% --------------------------------------------------------------------- bigfloat->sig+exp [77] 100.0% [83] 220(1.0%) 220(1.0%) new-mpz ...-lib/math/private/bigfloat/gmp.rkt:73:0 --------------------------------------------------------------------- loop [76] 50.0% merge-egraph-nodes! [44] 50.0% [84] 176(0.8%) 176(0.8%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [76] 50.0% --------------------------------------------------------------------- ??? [80] 100.0% [85] 8960(41.6%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [90] 87.7% ...higher-order.rkt:373:33 [91] 12.3% --------------------------------------------------------------------- ??? [80] 100.0% [86] 2600(12.1%) 2080(9.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 20.0% --------------------------------------------------------------------- ->flonum [81] 100.0% [87] 736(3.4%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ??? [97] 100.0% --------------------------------------------------------------------- taylor [79] 30.6% simplify [67] 34.5% completely-simplify-alt [82] 34.9% [88] 568(2.6%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [92] 100.0% --------------------------------------------------------------------- ??? [80] 100.0% [89] 248(1.2%) 248(1.2%) ...e/case-arrow.rkt:150:50 (unknown source) --------------------------------------------------------------------- loop [76] 2.4% ??? [85] 97.6% [90] 8052(37.4%) 944(4.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfsub [93] 37.2% bfneg [94] 32.2% ??? [96] 18.9% --------------------------------------------------------------------- ??? [85] 100.0% [91] 1102(5.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [95] 100.0% --------------------------------------------------------------------- debug-print [88] 100.0% [92] 568(2.6%) 568(2.6%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- ??? [90] 100.0% [93] 2992(13.9%) 2316(10.8%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 22.6% --------------------------------------------------------------------- ??? [90] 100.0% [94] 2596(12.1%) 2158(10.0%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 16.9% --------------------------------------------------------------------- ??? [80] 16.8% ...higher-order.rkt:373:33 [91] 83.2% [95] 1324(6.2%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% --------------------------------------------------------------------- ->flonum [81] 8.1% ??? [95] 42.8% ??? [90] 49.1% [96] 3094(14.4%) 1528(7.1%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 50.6% --------------------------------------------------------------------- bfneg [94] 18.5% real->bigfloat [86] 21.9% bfsub [93] 28.5% ??? [87] 31.1% [97] 2370(11.0%) 2370(11.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [96] 100.0% [98] 1566(7.3%) 1130(5.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 27.8% --------------------------------------------------------------------- ??? [98] 100.0% [99] 436(2.0%) 436(2.0%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------