Profiling results ----------------- Total cpu time observed: 15746ms (out of 16204ms) Number of samples taken: 66 (once every 239ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [35] 100.0% [1] 14488(92.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ----------------------------------------------------------------------- ??? [35] 100.0% [2] 6104(38.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 50.0% finalize-table! [8] 36.8% get-final-combination [11] 9.9% loop [40] 3.3% ----------------------------------------------------------------------- loop [65] 15.2% ??? [35] 84.8% [3] 2654(16.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 61.3% for-loop [10] 22.8% loop [12] 8.3% iterate-egraph!5 [14] 7.5% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [4] 1912(12.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [65] 88.5% hash-ref! [70] 11.5% ----------------------------------------------------------------------- loop [65] 100.0% [5] 600(3.8%) 0(0.0%) completely-simplify-alt ...erbie/src/glue.rkt:87:0 simplify-expr [9] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [6] 14488(92.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [35] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 3052(19.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [13] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 2248(14.3%) 0(0.0%) finalize-table! ...k/herbie/src/mainloop.rkt:264:0 post-process [15] 100.0% ----------------------------------------------------------------------- completely-simplify-alt [5] 26.9% simplify [3] 73.1% [9] 2228(14.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 606(3.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [14] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 604(3.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [16] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [12] 220(1.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [17] 100.0% ----------------------------------------------------------------------- for-loop [7] 100.0% [13] 3052(19.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 73.7% finalize-iter! [21] 19.7% gen-series! [25] 6.6% ----------------------------------------------------------------------- simplify [3] 6.6% for-loop [10] 20.0% simplify-expr [9] 73.4% [14] 3034(19.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [18] 93.3% map-enodes [23] 6.7% ----------------------------------------------------------------------- finalize-table! [8] 100.0% [15] 2248(14.3%) 0(0.0%) post-process .../ztatlock/herbie/src/glue.rkt:95:0 for-loop [20] 37.6% loop [65] 35.7% ??? [28] 17.8% localize-error [71] 8.9% ----------------------------------------------------------------------- get-final-combination [11] 100.0% [16] 604(3.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [65] 66.9% argmins [24] 33.1% ----------------------------------------------------------------------- loop [12] 100.0% [17] 220(1.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [22] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [18] 2832(18.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [27] 78.7% loop [30] 14.2% loop [32] 7.1% ----------------------------------------------------------------------- run-iter! [13] 100.0% [19] 2250(14.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [26] 100.0% ----------------------------------------------------------------------- post-process [15] 100.0% [20] 846(5.4%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:119:17 append-map [29] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [21] 602(3.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% ----------------------------------------------------------------------- pass [17] 100.0% [22] 220(1.4%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [31] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [14] 100.0% [23] 202(1.3%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [65] 100.0% ----------------------------------------------------------------------- extract-alt [16] 100.0% [24] 200(1.3%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [33] 100.0% ----------------------------------------------------------------------- run-iter! [13] 100.0% [25] 200(1.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [34] 100.0% ----------------------------------------------------------------------- simplify! [19] 100.0% [26] 2250(14.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [35] 100.0% ----------------------------------------------------------------------- for-loop [27] 50.0% one-iter [18] 50.0% [27] 2228(14.1%) 400(2.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [27] 50.0% match-e [41] 41.0% ----------------------------------------------------------------------- post-process [15] 39.9% finalize-iter! [21] 60.1% [28] 1002(6.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [37] 100.0% ----------------------------------------------------------------------- for-loop [20] 100.0% [29] 846(5.4%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 taylor-alt [36] 76.4% loop [65] 23.6% ----------------------------------------------------------------------- one-iter [18] 100.0% [30] 402(2.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [38] 100.0% ----------------------------------------------------------------------- for-loop [22] 100.0% [31] 220(1.4%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [39] 100.0% ----------------------------------------------------------------------- one-iter [18] 100.0% [32] 202(1.3%) 202(1.3%) loop ...ket/collects/racket/private/list.rkt:264:4 ----------------------------------------------------------------------- argmins [24] 100.0% [33] 200(1.3%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [55] 100.0% ----------------------------------------------------------------------- gen-series! [25] 100.0% [34] 200(1.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ----------------------------------------------------------------------- for-loop [26] 4.8% run [6] 43.6% [35] 15746(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.6% loop [40] 34.0% run-improve58 [2] 17.6% simplify [3] 4.8% ----------------------------------------------------------------------- for-loop [34] 19.1% loop [65] 19.1% append-map [29] 61.8% [36] 1046(6.6%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% ----------------------------------------------------------------------- ??? [28] 100.0% [37] 1002(6.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [43] 100.0% ----------------------------------------------------------------------- loop [30] 100.0% [38] 402(2.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [41] 50.2% substitute-e [45] 49.8% ----------------------------------------------------------------------- argmin [31] 100.0% [39] 220(1.4%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [44] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 2.0% ??? [35] 98.0% [40] 9842(62.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [46] 58.2% make-exacts* [52] 29.5% loop [53] 12.2% ----------------------------------------------------------------------- for-loop [51] 4.9% apply-match [38] 10.0% for-loop [27] 85.1% [41] 2030(12.9%) 1428(9.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [49] 24.7% for-loop [51] 4.9% ----------------------------------------------------------------------- taylor-alt [36] 100.0% [42] 1046(6.6%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [47] 100.0% ----------------------------------------------------------------------- for-loop [37] 100.0% [43] 1002(6.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [48] 100.0% ----------------------------------------------------------------------- expression-cost [39] 100.0% [44] 220(1.4%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- apply-match [38] 100.0% [45] 200(1.3%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [50] 100.0% ----------------------------------------------------------------------- loop [40] 100.0% [46] 5732(36.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [53] 39.4% make-exacts* [52] 35.0% eval-prog [60] 25.6% ----------------------------------------------------------------------- location-do [47] 38.7% for-loop [42] 61.3% [47] 1046(6.6%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [54] 61.3% location-do [47] 38.7% ----------------------------------------------------------------------- atab-add-altn [43] 100.0% [48] 1002(6.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 60.1% for-loop [56] 39.9% ----------------------------------------------------------------------- match-e [41] 100.0% [49] 602(3.8%) 200(1.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 curry* [57] 33.6% list-cartesian-product [58] 33.2% ----------------------------------------------------------------------- substitute-e [45] 100.0% [50] 200(1.3%) 200(1.3%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- match-e [41] 100.0% [51] 200(1.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [41] 100.0% ----------------------------------------------------------------------- loop [46] 40.8% loop [40] 59.2% [52] 4912(31.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [59] 56.6% loop [65] 38.8% eval-prog [60] 4.6% ----------------------------------------------------------------------- loop [40] 34.8% loop [46] 65.2% [53] 3462(22.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [59] 100.0% ----------------------------------------------------------------------- location-do [47] 100.0% [54] 1046(6.6%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f37 [92] 40.5% loop [62] 40.3% taylor-sqrt [64] 19.1% ----------------------------------------------------------------------- composed [33] 24.9% best-and-tied-at-points [48] 75.1% [55] 802(5.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [61] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [48] 100.0% [56] 400(2.5%) 400(2.5%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ----------------------------------------------------------------------- for-loop [49] 100.0% [57] 202(1.3%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [63] 100.0% ----------------------------------------------------------------------- for-loop [49] 100.0% [58] 200(1.3%) 200(1.3%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- f37 [92] 6.0% make-exacts* [52] 41.9% loop [53] 52.1% [59] 6646(42.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [65] 94.0% taylor [66] 3.0% f37 [92] 1.5% parse-loop50 [85] 1.5% ----------------------------------------------------------------------- make-exacts* [52] 13.2% loop [46] 86.8% [60] 1692(10.7%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [70] 100.0% ----------------------------------------------------------------------- errors [55] 100.0% [61] 802(5.1%) 200(1.3%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [67] 25.2% ??? [69] 24.9% ulp-difference [68] 24.9% ----------------------------------------------------------------------- approximate9 [54] 100.0% [62] 422(2.7%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% ----------------------------------------------------------------------- curry* [57] 100.0% [63] 202(1.3%) 202(1.3%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ----------------------------------------------------------------------- approximate9 [54] 100.0% [64] 200(1.3%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [77] 100.0% ----------------------------------------------------------------------- map-enodes [23] 0.1% make-exacts* [52] 0.1% extract-alt [16] 0.7% map [59] 1.0% post-process [15] 1.6% append-map [29] 1.7% f37 [92] 1.9% ??? [4] 14.8% loop [65] 78.1% [65] 11470(72.8%) 210(1.3%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [65] 78.1% hash-ref! [70] 14.8% simplify [77] 1.9% taylor-alt [36] 1.7% ??? [69] 1.1% localize-error [71] 0.9% completely-simplify-alt [5] 0.8% simplify [3] 0.7% for-loop [72] 0.1% ----------------------------------------------------------------------- map [59] 100.0% [66] 202(1.3%) 202(1.3%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 ----------------------------------------------------------------------- for-loop [61] 100.0% [67] 202(1.3%) 202(1.3%) ??? ...ket/collects/racket/private/for.rkt:1150:14 ----------------------------------------------------------------------- for-loop [61] 100.0% [68] 200(1.3%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [73] 100.0% ----------------------------------------------------------------------- for-loop [61] 2.5% loop [65] 97.5% [69] 8140(51.7%) 478(3.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [74] 82.5% real->bigfloat [76] 11.6% ----------------------------------------------------------------------- ??? [4] 4.7% compile [44] 4.7% ??? [78] 9.0% loop [62] 9.0% eval-prog [60] 27.3% loop [65] 45.2% [70] 2334(14.8%) 220(1.4%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 49.9% bigfloat-hash [75] 27.3% ??? [78] 9.0% simplify [77] 9.0% ----------------------------------------------------------------------- post-process [15] 49.8% loop [65] 50.2% [71] 402(2.6%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 sort [79] 50.2% for-loop [80] 49.8% ----------------------------------------------------------------------- loop [65] 100.0% [72] 202(1.3%) 202(1.3%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 ----------------------------------------------------------------------- ulp-difference [68] 100.0% [73] 200(1.3%) 200(1.3%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [69] 100.0% [74] 6718(42.7%) 200(1.3%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [81] 79.5% ...higher-order.rkt:373:33 [83] 17.5% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [75] 1692(10.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [82] 74.9% bfcanonicalize [84] 25.1% ----------------------------------------------------------------------- ??? [69] 100.0% [76] 944(6.0%) 714(4.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 24.4% ----------------------------------------------------------------------- taylor-sqrt [64] 23.7% loop [65] 26.3% hash-ref! [70] 50.0% [77] 844(5.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [92] 47.4% debug-print [86] 26.3% parse-loop50 [85] 26.3% ----------------------------------------------------------------------- hash-ref! [70] 100.0% [78] 422(2.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% ----------------------------------------------------------------------- localize-error [71] 100.0% [79] 202(1.3%) 0(0.0%) sort ...ket/collects/racket/private/sort.rkt:213:0 loop [87] 100.0% ----------------------------------------------------------------------- localize-error [71] 100.0% [80] 200(1.3%) 0(0.0%) for-loop ...ock/herbie/src/core/localize.rkt:61:10 loop [88] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [81] 5344(33.9%) 226(1.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [89] 44.3% ??? [98] 33.5% bfsqrt [91] 18.0% ----------------------------------------------------------------------- bigfloat-hash [75] 100.0% [82] 1268(8.1%) 1268(8.1%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ----------------------------------------------------------------------- ??? [74] 100.0% [83] 1174(7.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [90] 100.0% ----------------------------------------------------------------------- bigfloat-hash [75] 100.0% [84] 424(2.7%) 424(2.7%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ----------------------------------------------------------------------- simplify [77] 10.5% map [59] 23.7% parse-loop50 [85] 65.8% [85] 422(2.7%) 222(1.4%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [85] 65.8% f37 [92] 23.7% ----------------------------------------------------------------------- simplify [77] 100.0% [86] 222(1.4%) 222(1.4%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ----------------------------------------------------------------------- sort [79] 100.0% [87] 202(1.3%) 0(0.0%) loop ...cket/collects/racket/private/sort.rkt:64:8 errors-score [93] 100.0% ----------------------------------------------------------------------- for-loop [80] 100.0% [88] 200(1.3%) 0(0.0%) loop ...ket/collects/racket/private/map.rkt:113:23 curried [94] 100.0% ----------------------------------------------------------------------- ??? [81] 100.0% [89] 2368(15.0%) 938(6.0%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 60.4% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [83]100.0% [90] 1174(7.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ----------------------------------------------------------------------- ??? [81] 100.0% [91] 960(6.1%) 484(3.1%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [95] 49.6% ----------------------------------------------------------------------- parse-loop50 [85] 8.1% map [59] 8.1% f37 [92] 18.4% simplify [77] 32.4% approximate9 [54] 33.1% [92] 824(5.2%) 400(2.5%) f37 ...t/collects/racket/match/compiler.rkt:499:40 loop [65] 26.9% map [59] 22.3% f37 [92] 18.4% ----------------------------------------------------------------------- loop [87] 100.0% [93] 202(1.3%) 0(0.0%) errors-score ...atlock/herbie/src/points.rkt:154:0 loop [97] 100.0% ----------------------------------------------------------------------- loop [88] 100.0% [94] 200(1.3%) 200(1.3%) curried ...cket/collects/racket/function.rkt:71:18 ----------------------------------------------------------------------- real->bigfloat [76] 10.8% bfsqrt [91] 22.3% bfadd [89] 66.9% [95] 2136(13.6%) 2136(13.6%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [90] 100.0% [96] 1174(7.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ----------------------------------------------------------------------- errors-score [93] 100.0% [97] 202(1.3%) 202(1.3%) loop ...hare/racket/collects/racket/list.rkt:551:2 ----------------------------------------------------------------------- ??? [96] 39.6% ??? [81] 60.4% [98] 2964(18.8%) 1780(11.3%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 39.9% ----------------------------------------------------------------------- ??? [98] 100.0% [99] 1184(7.5%) 254(1.6%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 78.5% ----------------------------------------------------------------------- ??? [99] 100.0% [100] 930(5.9%) 930(5.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------