Profiling results ----------------- Total cpu time observed: 17854ms (out of 18056ms) Number of samples taken: 78 (once every 229ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [34] 100.0% [1] 17230(96.5%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ---------------------------------------------------------------------- ??? [34] 100.0% [2] 10720(60.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 95.3% setup-prog [15] 2.8% get-final-combination [16] 1.9% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [3] 1036(5.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [11] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [4] 834(4.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [12] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [5] 618(3.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [6] 416(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [14] 100.0% ---------------------------------------------------------------------- f94 [60] 100.0% [7] 202(1.1%) 0(0.0%) taylor-exp ...ock/herbie/src/core/taylor.rkt:386:0 simplify [10] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 17230(96.5%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [34] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 10220(57.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ---------------------------------------------------------------------- taylor-exp [7] 16.3% hash-ref! [72] 83.7% [10] 1238(6.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [60] 83.7% debug-print [21] 16.3% ---------------------------------------------------------------------- ??? [3] 100.0% [11] 1036(5.8%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [72] 59.8% ??? [19] 40.2% ---------------------------------------------------------------------- ??? [4] 100.0% [12] 834(4.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [72] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [13] 618(3.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [18] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [14] 416(2.3%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [72] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [15] 300(1.7%) 0(0.0%) setup-prog /home/ztatlock/herbie/src/glue.rkt:46:0 simplify-alt [20] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 200(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [22] 100.0% ---------------------------------------------------------------------- for-loop [9] 100.0% [17] 10220(57.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [24] 81.3% gen-series! [25] 14.1% gen-rewrites! [26] 2.4% finalize-iter! [27] 2.2% ---------------------------------------------------------------------- for-loop [13] 100.0% [18] 618(3.5%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [72] 100.0% ---------------------------------------------------------------------- for-loop [11] 100.0% [19] 416(2.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [72] 100.0% ---------------------------------------------------------------------- setup-prog [15] 100.0% [20] 300(1.7%) 0(0.0%) simplify-alt .../ztatlock/herbie/src/glue.rkt:84:0 simplify [23] 100.0% ---------------------------------------------------------------------- simplify [10] 100.0% [21] 202(1.1%) 202(1.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ---------------------------------------------------------------------- get-final-combination [16] 100.0% [22] 200(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [80] 100.0% ---------------------------------------------------------------------- loop [80] 2.2% simplify-alt [20] 3.3% ??? [34] 94.5% [23] 9010(50.5%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [29] 49.2% for-loop [30] 34.1% iterate-egraph!5 [35] 16.7% ---------------------------------------------------------------------- run-iter! [17] 100.0% [24] 8310(46.5%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [28] 100.0% ---------------------------------------------------------------------- run-iter! [17] 100.0% [25] 1440(8.1%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [31] 100.0% ---------------------------------------------------------------------- run-iter! [17] 100.0% [26] 248(1.4%) 0(0.0%) gen-rewrites! ...ock/herbie/src/mainloop.rkt:148:0 for-loop [32] 100.0% ---------------------------------------------------------------------- run-iter! [17] 100.0% [27] 222(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [33] 100.0% ---------------------------------------------------------------------- simplify! [24] 97.6% [28] 8510(47.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [34] 100.0% ---------------------------------------------------------------------- simplify [23] 100.0% [29] 4434(24.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [35] 90.9% loop [37] 9.1% ---------------------------------------------------------------------- simplify [23] 100.0% [30] 3068(17.2%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [35] 87.1% loop [37] 6.5% loop [80] 6.5% ---------------------------------------------------------------------- gen-series! [25] 100.0% [31] 1440(8.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [36] 100.0% ---------------------------------------------------------------------- gen-rewrites! [26] 100.0% [32] 248(1.4%) 0(0.0%) for-loop ...tatlock/herbie/src/mainloop.rkt:153:11 ??? [38] 100.0% ---------------------------------------------------------------------- finalize-iter! [27] 100.0% [33] 222(1.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [39] 100.0% ---------------------------------------------------------------------- for-loop [28] 17.0% run [8] 41.2% [34] 17632(98.8%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.2% run-improve58 [2] 22.7% loop [41] 19.0% simplify [23] 17.0% ---------------------------------------------------------------------- simplify [23] 18.4% for-loop [30] 32.5% simplify-expr [29] 49.1% [35] 8212(46.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [40] 100.0% ---------------------------------------------------------------------- for-loop [31] 100.0% [36] 1440(8.1%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [42] 100.0% ---------------------------------------------------------------------- for-loop [30] 33.0% simplify-expr [29] 67.0% [37] 600(3.4%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [43] 100.0% ---------------------------------------------------------------------- for-loop [32] 100.0% [38] 248(1.4%) 248(1.4%) ??? /home/ztatlock/herbie/src/alternative.rkt:90:0 ---------------------------------------------------------------------- ??? [33] 100.0% [39] 222(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [44] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [35] 100.0% [40] 8212(46.0%) 1204(6.7%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [45] 53.3% loop [47] 29.6% apply-match [54] 2.4% ---------------------------------------------------------------------- ??? [34] 100.0% [41] 6712(37.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [46] 40.1% make-exacts* [53] 32.9% loop [52] 27.0% ---------------------------------------------------------------------- taylor-alt [36] 100.0% [42] 1440(8.1%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [48] 100.0% ---------------------------------------------------------------------- loop [37] 100.0% [43] 600(3.4%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [49] 67.0% for-loop [51] 33.0% ---------------------------------------------------------------------- for-loop [39] 100.0% [44] 222(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [50] 100.0% ---------------------------------------------------------------------- for-loop [45] 42.9% one-iter [40] 57.1% [45] 4380(24.5%) 1630(9.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [45] 42.9% match-e [59] 31.4% ---------------------------------------------------------------------- loop [41] 100.0% [46] 2692(15.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 64.9% make-exacts* [53] 35.1% ---------------------------------------------------------------------- one-iter [40] 100.0% [47] 2428(13.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [54] 100.0% ---------------------------------------------------------------------- location-do [48] 7.0% for-loop [42] 93.0% [48] 1440(8.1%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [55] 93.0% location-do [48] 7.0% ---------------------------------------------------------------------- pass [43] 100.0% [49] 402(2.3%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [57] 50.2% for-loop [58] 49.8% ---------------------------------------------------------------------- atab-add-altn [44] 100.0% [50] 222(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 for-loop [56] 100.0% ---------------------------------------------------------------------- pass [43] 100.0% [51] 198(1.1%) 198(1.1%) for-loop ...ock/herbie/src/core/simplify.rkt:176:2 ---------------------------------------------------------------------- loop [46] 49.0% loop [41] 51.0% [52] 3560(19.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [66] 100.0% ---------------------------------------------------------------------- loop [46] 30.0% loop [41] 70.0% [53] 3152(17.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [66] 60.1% loop [80] 39.9% ---------------------------------------------------------------------- one-iter [40] 7.6% loop [47] 92.4% [54] 2628(14.7%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 match-e [59] 30.7% loop! [87] 22.8% substitute-e [62] 16.1% reduce-to-single! [63] 15.2% merge-egraph-nodes! [64] 15.2% ---------------------------------------------------------------------- location-do [48] 100.0% [55] 1440(8.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [61] 71.9% f94 [60] 28.1% ---------------------------------------------------------------------- best-and-tied-at-points [50] 100.0% [56] 222(1.2%) 222(1.2%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 ---------------------------------------------------------------------- for-loop [49] 100.0% [57] 202(1.1%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [65] 100.0% ---------------------------------------------------------------------- for-loop [49] 100.0% [58] 200(1.1%) 200(1.1%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- for-loop [74] 14.1% apply-match [54] 17.0% for-loop [45] 68.9% [59] 3556(19.9%) 1948(10.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [67] 39.5% loop [80] 5.7% for-loop [74] 5.7% ---------------------------------------------------------------------- parse-loop50 [73] 4.6% loop [80] 9.7% f94 [60] 14.0% approximate9 [55] 14.0% map [66] 14.3% simplify [10] 43.3% [60] 1440(8.1%) 202(1.1%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [66] 71.9% f94 [60] 14.0% taylor-exp [7] 7.0% ---------------------------------------------------------------------- approximate9 [55] 100.0% [61] 1036(5.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [72] 100.0% ---------------------------------------------------------------------- substitute-e [62] 34.8% apply-match [54] 65.2% [62] 422(2.4%) 220(1.2%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [68] 47.9% substitute-e [62] 34.8% ---------------------------------------------------------------------- apply-match [54] 100.0% [63] 400(2.2%) 400(2.2%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 ---------------------------------------------------------------------- apply-match [54] 100.0% [64] 400(2.2%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [71] 50.0% for-loop [70] 50.0% ---------------------------------------------------------------------- argmin [57] 100.0% [65] 202(1.1%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [69] 100.0% ---------------------------------------------------------------------- parse-loop50 [73] 0.8% f94 [60] 15.1% make-exacts* [53] 29.2% loop [52] 54.9% [66] 6490(36.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [80] 84.9% parse-loop50 [73] 12.2% f94 [60] 2.9% ---------------------------------------------------------------------- match-e [59] 100.0% [67] 1808(10.1%) 402(2.3%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [74] 33.3% foldl [75] 22.3% list-cartesian-product [77] 11.1% curry* [78] 11.1% ---------------------------------------------------------------------- substitute-e [62] 100.0% [68] 202(1.1%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [76] 100.0% ---------------------------------------------------------------------- expression-cost [65] 100.0% [69] 202(1.1%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [72] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [64] 100.0% [70] 200(1.1%) 200(1.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 ---------------------------------------------------------------------- merge-egraph-nodes! [64] 100.0% [71] 200(1.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [79] 100.0% ---------------------------------------------------------------------- ??? [83] 4.1% for-loop [14] 5.8% ??? [19] 5.8% ??? [84] 8.2% compile [69] 8.2% for-loop [18] 9.1% for-loop [11] 10.8% for-loop [12] 14.9% ??? [81] 16.6% loop [61] 16.6% [72] 1238(6.9%) 202(1.1%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [81] 16.6% ??? [3] 16.6% simplify [10] 16.6% ??? [4] 14.9% ??? [5] 9.1% ??? [84] 8.2% ??? [6] 5.8% ??? [83] 4.1% ---------------------------------------------------------------------- loop [80] 4.9% parse-loop50 [73] 9.7% map [66] 85.4% [73] 1036(5.8%) 1036(5.8%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 loop [80] 14.6% map [66] 10.4% parse-loop50 [73] 9.7% f94 [60] 9.7% ---------------------------------------------------------------------- match-e [59] 40.0% for-loop [67] 60.0% [74] 1004(5.6%) 200(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [59] 90.0% ---------------------------------------------------------------------- for-loop [67] 100.0% [75] 404(2.3%) 202(1.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [82] 50.0% ---------------------------------------------------------------------- mk-enode! [68] 100.0% [76] 202(1.1%) 202(1.1%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- for-loop [67] 100.0% [77] 200(1.1%) 200(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 ---------------------------------------------------------------------- for-loop [67] 100.0% [78] 200(1.1%) 200(1.1%) curry* ...racket/collects/racket/function.rkt:44:2 ---------------------------------------------------------------------- update-leader! [71] 100.0% [79] 200(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [85] 100.0% ---------------------------------------------------------------------- make-exacts* [53] 0.0% for-loop [30] 2.4% extract-alt [22] 2.4% match-e [59] 2.4% loop! [87] 3.6% map [66] 3.7% parse-loop50 [73] 4.8% loop [80] 80.7% [80] 8332(46.7%) 400(2.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [80] 80.7% f94 [60] 5.0% loop! [87] 3.6% parse-loop50 [73] 2.4% simplify [23] 2.4% ??? [86] 1.1% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [81] 1036(5.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [72] 100.0% ---------------------------------------------------------------------- foldl [75] 100.0% [82] 202(1.1%) 202(1.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ---------------------------------------------------------------------- hash-ref! [72] 100.0% [83] 202(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [72] 100.0% ---------------------------------------------------------------------- hash-ref! [72] 100.0% [84] 202(1.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 hash-ref! [72] 100.0% ---------------------------------------------------------------------- for-loop [79] 100.0% [85] 200(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [88] 100.0% ---------------------------------------------------------------------- loop [80] 100.0% [86] 6712(37.6%) 248(1.4%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [89] 45.8% real->bigfloat [90] 42.7% ??? [99] 7.8% ---------------------------------------------------------------------- loop [80] 33.3% apply-match [54] 66.7% [87] 600(3.4%) 200(1.1%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 set [91] 50.0% loop [80] 33.3% ---------------------------------------------------------------------- for-loop [85] 100.0% [88] 200(1.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [92] 100.0% ---------------------------------------------------------------------- ??? [86] 100.0% [89] 3076(17.2%) 246(1.4%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [93] 76.7% ...higher-order.rkt:373:33 [94] 15.3% ---------------------------------------------------------------------- ??? [86] 100.0% [90] 2866(16.1%) 2370(13.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [100] 17.3% ---------------------------------------------------------------------- loop! [87] 100.0% [91] 400(2.2%) 400(2.2%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- hash-update! [88] 100.0% [92] 200(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [95] 100.0% ---------------------------------------------------------------------- ??? [89] 100.0% [93] 2360(13.2%) 246(1.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 ??? [101] 39.2% bfsqr [96] 28.9% bfsub [97] 21.5% ---------------------------------------------------------------------- ??? [89] 100.0% [94] 470(2.6%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [99] 53.2% ??? [98] 46.8% ---------------------------------------------------------------------- ??? [92] 100.0% [95] 200(1.1%) 200(1.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- ??? [93] 100.0% [96] 682(3.8%) 262(1.5%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [100] 61.6% ---------------------------------------------------------------------- ??? [93] 100.0% [97] 508(2.8%) 508(2.8%) bfsub ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [94]100.0% [98] 220(1.2%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [99] 100.0% ---------------------------------------------------------------------- ??? [98] 22.2% ...higher-order.rkt:373:33 [94] 25.2% ??? [86] 52.6% [99] 992(5.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [101] 100.0% ---------------------------------------------------------------------- bfsqr [96] 45.9% real->bigfloat [90] 54.1% [100] 916(5.1%) 916(5.1%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [93] 48.2% ??? [99] 51.8% [101] 1916(10.7%) 928(5.2%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [102] 51.6% ---------------------------------------------------------------------- ??? [101] 100.0% [102] 988(5.5%) 480(2.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [103] 51.4% ---------------------------------------------------------------------- ??? [102] 100.0% [103] 508(2.8%) 508(2.8%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------