Profiling results ----------------- Total cpu time observed: 21024ms (out of 21464ms) Number of samples taken: 87 (once every 242ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [39] 100.0% [1] 20748(98.7%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [12] 100.0% ----------------------------------------------------------------------- ??? [39] 100.0% [2] 7030(33.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [13] 48.9% finalize-table! [14] 44.2% loop [47] 6.9% ----------------------------------------------------------------------- ??? [39] 100.0% [3] 1940(9.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [15] 79.4% iterate-egraph!5 [23] 10.3% for-loop [18] 10.3% ----------------------------------------------------------------------- hash-ref! [78] 100.0% [4] 1130(5.4%) 214(1.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [76] 81.1% hash-ref! [78] 14.2% ----------------------------------------------------------------------- loop [76] 100.0% [5] 1042(5.0%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [15] 100.0% ----------------------------------------------------------------------- f143 [69] 100.0% [6] 866(4.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [59] 100.0% ----------------------------------------------------------------------- hash-ref! [78] 100.0% [7] 802(3.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [16] 100.0% ----------------------------------------------------------------------- hash-ref! [78] 100.0% [8] 802(3.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [17] 100.0% ----------------------------------------------------------------------- loop [76] 100.0% [9] 400(1.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [78] 100.0% ----------------------------------------------------------------------- hash-ref! [78] 100.0% [10] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [20] 100.0% ----------------------------------------------------------------------- hash-ref! [78] 100.0% [11] 200(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [19] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.7% [12] 21024(100.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 3438(16.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [21] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [14] 3108(14.8%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [22] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [5] 40.4% simplify [3] 59.6% [15] 2582(12.3%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 91.7% loop [25] 8.3% ----------------------------------------------------------------------- ??? [7] 100.0% [16] 802(3.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [78] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [17] 802(3.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [24] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [18] 200(1.0%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 100.0% ----------------------------------------------------------------------- ??? [11] 100.0% [19] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop50 [63] 100.0% ----------------------------------------------------------------------- ??? [10] 100.0% [20] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [78] 100.0% ----------------------------------------------------------------------- for-loop [13] 100.0% [21] 3438(16.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [27] 56.4% gen-series! [29] 24.6% finalize-iter! [30] 19.0% ----------------------------------------------------------------------- finalize-table! [14] 100.0% [22] 3108(14.8%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [28] 46.5% loop [76] 46.4% ??? [35] 7.1% ----------------------------------------------------------------------- for-loop [18] 7.2% simplify [3] 7.2% simplify-expr [15] 85.5% [23] 2768(13.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [26] 100.0% ----------------------------------------------------------------------- for-loop [17] 100.0% [24] 802(3.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [78] 100.0% ----------------------------------------------------------------------- simplify-expr [15] 100.0% [25] 214(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [31] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [26] 2768(13.2%) 420(2.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [33] 69.4% apply-match [37] 15.5% ----------------------------------------------------------------------- run-iter! [21] 100.0% [27] 1940(9.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [32] 100.0% ----------------------------------------------------------------------- post-process [22] 100.0% [28] 1446(6.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [34] 100.0% ----------------------------------------------------------------------- run-iter! [21] 100.0% [29] 846(4.0%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [36] 100.0% ----------------------------------------------------------------------- run-iter! [21] 100.0% [30] 652(3.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [35] 100.0% ----------------------------------------------------------------------- loop [25] 100.0% [31] 214(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [38] 100.0% ----------------------------------------------------------------------- simplify! [27] 100.0% [32] 1940(9.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 100.0% ----------------------------------------------------------------------- for-loop [33] 50.0% one-iter [26] 50.0% [33] 1920(9.1%) 420(2.0%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [33] 50.0% match-e [41] 39.1% ----------------------------------------------------------------------- f143 [69] 10.4% for-loop [28] 89.6% [34] 1446(6.9%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [40] 74.3% loop [76] 15.4% f143 [69] 6.9% free-variables [46] 3.5% ----------------------------------------------------------------------- post-process [22] 25.2% finalize-iter! [30] 74.8% [35] 872(4.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [42] 100.0% ----------------------------------------------------------------------- gen-series! [29] 100.0% [36] 846(4.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [40] 100.0% ----------------------------------------------------------------------- one-iter [26] 100.0% [37] 428(2.0%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [43] 51.9% reduce-to-single! [45] 48.1% ----------------------------------------------------------------------- pass [31] 100.0% [38] 214(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [44] 100.0% ----------------------------------------------------------------------- for-loop [32] 3.1% run [12] 49.1% [39] 21024(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.8% loop [47] 33.9% run-improve58 [2] 15.2% simplify [3] 3.1% ----------------------------------------------------------------------- loop [76] 9.7% for-loop [36] 36.9% append-map [34] 53.4% [40] 2292(10.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [48] 100.0% ----------------------------------------------------------------------- for-loop [33] 100.0% [41] 1500(7.1%) 1298(6.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 curry* [52] 13.5% ----------------------------------------------------------------------- ??? [35] 100.0% [42] 872(4.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [49] 100.0% ----------------------------------------------------------------------- apply-match [37] 100.0% [43] 222(1.1%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [50] 100.0% ----------------------------------------------------------------------- for-loop [38] 100.0% [44] 214(1.0%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [51] 100.0% ----------------------------------------------------------------------- apply-match [37] 100.0% [45] 206(1.0%) 206(1.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ----------------------------------------------------------------------- append-map [34] 100.0% [46] 200(1.0%) 200(1.0%) free-variables ...ock/herbie/src/programs.rkt:89:0 ----------------------------------------------------------------------- run-improve58 [2] 3.3% ??? [39] 96.7% [47] 14478(68.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [53] 51.8% make-exacts* [57] 36.5% loop [58] 11.7% ----------------------------------------------------------------------- taylor-alt [40] 100.0% [48] 2292(10.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [54] 100.0% ----------------------------------------------------------------------- for-loop [42] 100.0% [49] 872(4.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [55] 100.0% ----------------------------------------------------------------------- substitute-e [43] 100.0% [50] 222(1.1%) 222(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- argmin [44] 100.0% [51] 214(1.0%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [56] 100.0% ----------------------------------------------------------------------- match-e [41] 100.0% [52] 202(1.0%) 202(1.0%) curry* ...racket/collects/racket/function.rkt:44:2 ----------------------------------------------------------------------- loop [47] 100.0% [53] 7502(35.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [58] 57.9% make-exacts* [57] 29.9% eval-prog [64] 12.2% ----------------------------------------------------------------------- location-do [54] 30.3% for-loop [48] 69.7% [54] 2292(10.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [60] 65.2% location-do [54] 30.3% simplify [59] 4.4% ----------------------------------------------------------------------- atab-add-altn [49] 100.0% [55] 872(4.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 74.8% for-loop [62] 25.2% ----------------------------------------------------------------------- expression-cost [51] 100.0% [56] 214(1.0%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [78] 100.0% ----------------------------------------------------------------------- loop [53] 29.8% loop [47] 70.2% [57] 7526(35.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [72] 58.8% loop [76] 41.2% ----------------------------------------------------------------------- loop [47] 28.1% loop [53] 71.9% [58] 6036(28.7%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [72] 100.0% ----------------------------------------------------------------------- location-do [54] 9.7% taylor-sqrt [6] 41.4% hash-ref! [78] 48.9% [59] 2090(9.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f143 [69] 59.6% parse-loop50 [63] 30.7% debug-print [68] 9.7% ----------------------------------------------------------------------- location-do [54] 100.0% [60] 2090(9.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f143 [69] 51.1% loop [65] 48.9% ----------------------------------------------------------------------- best-and-tied-at-points [55] 100.0% [61] 652(3.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [66] 66.3% eval-prog [64] 33.7% ----------------------------------------------------------------------- best-and-tied-at-points [55] 100.0% [62] 220(1.0%) 0(0.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ??? [67] 100.0% ----------------------------------------------------------------------- for-loop [19] 13.9% parse-loop50 [63] 17.1% simplify [59] 27.4% map [72] 41.7% [63] 1444(6.9%) 824(3.9%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [63] 17.1% for-loop [71] 13.9% loop [76] 6.9% map [72] 6.9% parse-app [70] 6.9% f143 [69] 5.1% ----------------------------------------------------------------------- errors [61] 19.4% loop [53] 80.6% [64] 1136(5.4%) 220(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [78] 80.6% ----------------------------------------------------------------------- approximate9 [60] 100.0% [65] 1022(4.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [78] 100.0% ----------------------------------------------------------------------- errors [61] 100.0% [66] 432(2.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [77] 100.0% ----------------------------------------------------------------------- for-loop [62] 100.0% [67] 220(1.0%) 220(1.0%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ----------------------------------------------------------------------- simplify [59] 100.0% [68] 202(1.0%) 202(1.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- composed [75] 2.0% loop [76] 2.7% append-map [34] 4.0% parse-loop50 [63] 8.8% f143 [69] 9.9% map [72] 14.8% hash-ref! [78] 16.1% simplify [59] 17.6% approximate9 [60] 24.1% [69] 2490(11.8%) 644(3.1%) f143 .../collects/racket/match/compiler.rkt:499:40 map [72] 40.2% taylor-sqrt [6] 21.4% f143 [69] 9.9% append-map [34] 6.0% gather-multiplicative-terms [73] 4.5% composed [75] 2.0% ----------------------------------------------------------------------- parse-loop50 [63] 100.0% [70] 200(1.0%) 0(0.0%) parse-app .../collects/racket/private/kw.rkt:903:2 loop [74] 100.0% ----------------------------------------------------------------------- parse-loop50 [63] 100.0% [71] 200(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [78] 100.0% ----------------------------------------------------------------------- parse-loop50 [63] 0.3% f143 [69] 8.4% make-exacts* [57] 38.6% loop [58] 52.6% [72] 11466(54.5%) 200(1.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [76] 90.6% f143 [69] 2.9% ??? [77] 2.4% parse-loop50 [63] 2.3% ----------------------------------------------------------------------- f143 [69] 100.0% [73] 222(1.1%) 222(1.1%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- parse-app [70] 33.3% loop [74] 66.7% [74] 200(1.0%) 200(1.0%) loop .../collects/racket/private/stxcase.rkt:112:7 loop [74] 66.7% ----------------------------------------------------------------------- f143 [69] 100.0% [75] 200(1.0%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f143 [69] 100.0% ----------------------------------------------------------------------- make-exacts* [57] 0.1% parse-loop50 [63] 1.2% post-process [22] 1.3% append-map [34] 1.4% map [72] 4.0% ??? [4] 5.7% loop [76] 86.2% [76] 16066(76.4%) 198(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [76] 86.2% hash-ref! [78] 5.7% ??? [77] 4.1% taylor-alt [40] 1.4% f143 [69] 1.2% localize-error [9] 0.7% completely-simplify-alt [5] 0.6% bfcube [79] 0.1% ----------------------------------------------------------------------- map [72] 2.0% for-loop [66] 3.1% loop [76] 94.9% [77] 13796(65.6%) 1144(5.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [80] 69.9% real->bigfloat [81] 18.4% new [84] 1.8% ??? [94] 1.5% ----------------------------------------------------------------------- for-loop [20] 1.1% for-loop [71] 1.1% compile [56] 2.1% ??? [4] 6.3% for-loop [24] 7.0% for-loop [16] 8.1% ??? [82] 11.3% loop [65] 11.3% eval-prog [64] 12.1% localize-error [9] 15.7% loop [76] 23.8% [78] 2552(12.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 32.2% f143 [69] 15.7% bigfloat-hash [83] 12.1% ??? [82] 11.3% simplify [59] 11.3% ??? [7] 8.1% ??? [8] 7.0% ??? [11] 1.1% ??? [10] 1.1% ----------------------------------------------------------------------- loop [76] 100.0% [79] 200(1.0%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [85] 100.0% ----------------------------------------------------------------------- ??? [77] 100.0% [80] 9648(45.9%) 432(2.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [89] 52.4% bf* [85] 26.4% ...higher-order.rkt:373:33 [86] 16.7% ----------------------------------------------------------------------- ??? [77] 100.0% [81] 2540(12.1%) 2074(9.9%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 18.3% ----------------------------------------------------------------------- hash-ref! [78] 100.0% [82] 1022(4.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [78] 100.0% ----------------------------------------------------------------------- hash-ref! [78] 100.0% [83] 916(4.4%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [87] 50.7% bfcanonicalize [88] 49.3% ----------------------------------------------------------------------- ??? [77] 100.0% [84] 254(1.2%) 254(1.2%) new ...cket/contract/private/case-arrow.rkt:227:53 ----------------------------------------------------------------------- bfcube [79] 7.3% ??? [80] 92.7% [85] 2744(13.1%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [89] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [86] 1612(7.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 86.6% ??? [94] 13.4% ----------------------------------------------------------------------- bigfloat-hash [83] 100.0% [87] 464(2.2%) 464(2.2%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- bigfloat-hash [83] 100.0% [88] 452(2.1%) 196(0.9%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 bigfloat->sig+exp [91] 56.6% ----------------------------------------------------------------------- bf* [85] 35.2% ??? [80] 64.8% [89] 7804(37.1%) 272(1.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [92] 51.8% bfsqrt [93] 24.3% ??? [96] 20.4% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [86] 100.0% [90] 1396(6.6%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [94] 100.0% ----------------------------------------------------------------------- bfcanonicalize [88] 100.0% [91] 256(1.2%) 0(0.0%) bigfloat->sig+exp ...ivate/bigfloat/mpfr.rkt:370:0 size+limbs->integer [95] 100.0% ----------------------------------------------------------------------- ??? [89] 100.0% [92] 4040(19.2%) 3120(14.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 22.8% ----------------------------------------------------------------------- ??? [89] 100.0% [93] 1898(9.0%) 1898(9.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- ??? [77] 11.5% ...higher-order.rkt:373:33 [86] 11.9% ??? [90] 76.6% [94] 1822(8.7%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ----------------------------------------------------------------------- bigfloat->sig+exp [91] 100.0% [95] 256(1.2%) 256(1.2%) size+limbs->integer ...vate/bigfloat/gmp.rkt:103:0 ----------------------------------------------------------------------- ??? [89] 46.7% ??? [94] 53.3% [96] 3416(16.2%) 1612(7.7%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [98] 52.8% ----------------------------------------------------------------------- real->bigfloat [81] 33.6% bfmul [92] 66.4% [97] 1386(6.6%) 1386(6.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [96] 100.0% [98] 1804(8.6%) 664(3.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [99] 63.2% ----------------------------------------------------------------------- ??? [98] 100.0% [99] 1140(5.4%) 1140(5.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------