Profiling results ----------------- Total cpu time observed: 21182ms (out of 21472ms) Number of samples taken: 91 (once every 233ms) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [30] 100.0% [1] 20426(96.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% --------------------------------------------------------------------- ??? [30] 100.0% [2] 10520(49.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 96.1% get-final-combination [12] 2.1% loop [36] 1.8% --------------------------------------------------------------------- loop [67] 2.4% ??? [30] 97.6% [3] 9302(43.9%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 54.3% for-loop [10] 35.5% iterate-egraph!5 [16] 10.2% --------------------------------------------------------------------- hash-ref! [70] 100.0% [4] 208(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% --------------------------------------------------------------------- hash-ref! [70] 100.0% [5] 208(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [13] 100.0% --------------------------------------------------------------------- f37 [68] 100.0% [6] 192(0.9%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [11] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 20426(96.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 10108(47.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [9] 5050(23.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 92.6% loop [17] 7.4% --------------------------------------------------------------------- simplify [3] 100.0% [10] 3306(15.6%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [16] 88.6% loop [17] 11.4% --------------------------------------------------------------------- taylor-invert [6] 48.0% hash-ref! [70] 52.0% [11] 400(1.9%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [68] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 220(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% --------------------------------------------------------------------- ??? [5] 100.0% [13] 208(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [70] 100.0% --------------------------------------------------------------------- ??? [4] 100.0% [14] 208(1.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [70] 100.0% --------------------------------------------------------------------- for-loop [8] 100.0% [15] 10108(47.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [19] 89.8% finalize-iter! [22] 6.2% gen-series! [23] 4.0% --------------------------------------------------------------------- simplify [3] 11.1% for-loop [10] 34.3% simplify-expr [9] 54.7% [16] 8548(40.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% --------------------------------------------------------------------- simplify-expr [9] 49.9% for-loop [10] 50.1% [17] 754(3.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% --------------------------------------------------------------------- get-final-combination [12] 100.0% [18] 220(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [67] 100.0% --------------------------------------------------------------------- run-iter! [15] 100.0% [19] 9082(42.9%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [20] 8548(40.4%) 606(2.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 48.9% loop [26] 39.4% apply-match [31] 4.7% --------------------------------------------------------------------- loop [17] 100.0% [21] 754(3.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% --------------------------------------------------------------------- run-iter! [15] 100.0% [22] 626(3.0%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% --------------------------------------------------------------------- run-iter! [15] 100.0% [23] 400(1.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% --------------------------------------------------------------------- simplify! [19] 100.0% [24] 9082(42.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% --------------------------------------------------------------------- for-loop [25] 47.8% one-iter [20] 52.2% [25] 4176(19.7%) 750(3.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 47.8% match-e [37] 41.0% --------------------------------------------------------------------- one-iter [20] 100.0% [26] 3368(15.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% --------------------------------------------------------------------- pass [21] 100.0% [27] 754(3.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [34] 52.8% argmin [35] 47.2% --------------------------------------------------------------------- finalize-iter! [22] 100.0% [28] 626(3.0%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% --------------------------------------------------------------------- gen-series! [23] 100.0% [29] 400(1.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% --------------------------------------------------------------------- for-loop [24] 14.9% run [7] 41.9% [30] 20986(99.1%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 41.9% loop [36] 24.9% run-improve58 [2] 18.3% simplify [3] 14.9% --------------------------------------------------------------------- one-iter [20] 10.6% loop [26] 89.4% [31] 3766(17.8%) 406(1.9%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [38] 26.0% merge-egraph-nodes! [39] 17.0% loop! [73] 15.5% match-e [37] 14.9% substitute-e [42] 5.8% mk-enode! [47] 5.1% update-leader! [48] 4.8% --------------------------------------------------------------------- ??? [28] 100.0% [32] 626(3.0%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [40] 100.0% --------------------------------------------------------------------- for-loop [29] 100.0% [33] 400(1.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [41] 100.0% --------------------------------------------------------------------- for-loop [27] 100.0% [34] 398(1.9%) 398(1.9%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 --------------------------------------------------------------------- for-loop [27] 100.0% [35] 356(1.7%) 178(0.8%) argmin ...re/racket/collects/racket/list.rkt:743:0 for-loop [43] 50.0% --------------------------------------------------------------------- run-improve58 [2] 1.8% ??? [30] 98.2% [36] 10658(50.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [44] 52.7% make-exacts* [51] 43.0% loop [52] 4.4% --------------------------------------------------------------------- apply-match [31] 9.4% for-loop [53] 15.7% for-loop [25] 74.9% [37] 3988(18.8%) 2312(10.9%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [45] 26.7% for-loop [53] 12.3% list-cartesian-product [54] 7.1% loop [67] 4.6% --------------------------------------------------------------------- apply-match [31] 100.0% [38] 980(4.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [73] 80.4% mk-enode! [47] 19.6% --------------------------------------------------------------------- merge-egraph-nodes! [39] 18.8% apply-match [31] 81.2% [39] 640(3.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [48] 62.5% merge-egraph-nodes! [39] 18.8% for-loop [50] 18.8% --------------------------------------------------------------------- for-loop [32] 100.0% [40] 626(3.0%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [46] 100.0% --------------------------------------------------------------------- taylor-alt [33] 100.0% [41] 400(1.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [49] 100.0% --------------------------------------------------------------------- apply-match [31] 100.0% [42] 220(1.0%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [47] 100.0% --------------------------------------------------------------------- argmin [35] 100.0% [43] 178(0.8%) 178(0.8%) for-loop ...ztatlock/herbie/src/programs.rkt:213:2 --------------------------------------------------------------------- loop [36] 100.0% [44] 5614(26.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [52] 71.7% make-exacts* [51] 24.4% eval-prog [58] 3.9% --------------------------------------------------------------------- match-e [37] 100.0% [45] 1316(6.2%) 178(0.8%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [53] 52.1% list-cartesian-product [54] 27.2% loop [67] 7.1% --------------------------------------------------------------------- atab-add-altn [40] 100.0% [46] 626(3.0%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [55] 67.7% for-loop [59] 32.3% --------------------------------------------------------------------- for-loop [38] 31.8% apply-match [31] 31.8% substitute-e [42] 36.4% [47] 604(2.9%) 412(1.9%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 new-enode [60] 31.8% --------------------------------------------------------------------- apply-match [31] 31.3% merge-egraph-nodes! [39] 68.7% [48] 582(2.7%) 198(0.9%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [57] 66.0% --------------------------------------------------------------------- for-loop [41] 100.0% [49] 400(1.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [39] 100.0% [50] 240(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/egraph.rkt:200:10 loop! [73] 100.0% --------------------------------------------------------------------- loop [44] 23.0% loop [36] 77.0% [51] 5946(28.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [61] 55.7% loop [67] 44.3% --------------------------------------------------------------------- loop [36] 10.4% loop [44] 89.6% [52] 4492(21.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [61] 100.0% --------------------------------------------------------------------- match-e [37] 48.5% for-loop [45] 51.5% [53] 1516(7.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [37] 74.4% ??? [63] 25.6% --------------------------------------------------------------------- list-cartesian-product [54] 24.9% for-loop [45] 36.4% match-e [37] 38.6% [54] 738(3.5%) 548(2.6%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [54] 24.9% for-loop [66] 12.9% --------------------------------------------------------------------- best-and-tied-at-points [46] 100.0% [55] 424(2.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [62] 100.0% --------------------------------------------------------------------- location-do [49] 100.0% [56] 400(1.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [65] 52.0% f37 [68] 48.0% --------------------------------------------------------------------- update-leader! [48] 100.0% [57] 384(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 100.0% --------------------------------------------------------------------- loop [44] 100.0% [58] 220(1.0%) 220(1.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 --------------------------------------------------------------------- best-and-tied-at-points [46] 100.0% [59] 202(1.0%) 202(1.0%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- mk-enode! [47] 100.0% [60] 192(0.9%) 0(0.0%) new-enode ...atlock/herbie/src/core/enode.rkt:68:0 set [83] 100.0% --------------------------------------------------------------------- f37 [68] 2.4% make-exacts* [51] 41.4% loop [52] 56.2% [61] 7996(37.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 91.6% ??? [72] 6.0% f37 [68] 2.4% --------------------------------------------------------------------- errors [55] 100.0% [62] 424(2.0%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ->flonum [85] 52.4% ??? [72] 47.6% --------------------------------------------------------------------- for-loop [53] 100.0% [63] 388(1.8%) 202(1.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [71] 47.9% --------------------------------------------------------------------- for-loop [57] 100.0% [64] 384(1.8%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [69] 100.0% --------------------------------------------------------------------- approximate9 [56] 100.0% [65] 208(1.0%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [70] 100.0% --------------------------------------------------------------------- list-cartesian-product [54] 100.0% [66] 190(0.9%) 190(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 --------------------------------------------------------------------- make-exacts* [51] 0.2% match-e [37] 0.2% ??? [72] 0.2% map [61] 0.5% extract-alt [18] 1.0% loop! [73] 1.1% for-loop [45] 1.7% loop [67] 95.0% [67] 11384(53.7%) 188(0.9%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 95.0% loop! [73] 1.1% simplify [3] 1.0% ??? [72] 0.8% real->bigfloat [82] 0.2% foldl [80] 0.2% ...e/case-arrow.rkt:150:50 [75] 0.0% --------------------------------------------------------------------- map [61] 12.0% f37 [68] 12.0% approximate9 [56] 12.0% simplify [11] 64.0% [68] 400(1.9%) 192(0.9%) f37 ...t/collects/racket/match/compiler.rkt:499:40 parse-app [76] 52.0% f37 [68] 12.0% map [61] 12.0% taylor-invert [6] 12.0% --------------------------------------------------------------------- for-loop [64] 100.0% [69] 384(1.8%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [74] 100.0% --------------------------------------------------------------------- for-loop [14] 12.5% for-loop [13] 12.5% ??? [77] 12.5% ??? [78] 12.5% loop [65] 12.5% ??? [79] 37.5% [70] 208(1.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [79] 37.5% ??? [78] 12.5% ??? [77] 12.5% ??? [5] 12.5% ??? [4] 12.5% simplify [11] 12.5% --------------------------------------------------------------------- ??? [63] 100.0% [71] 186(0.9%) 186(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 --------------------------------------------------------------------- for-loop [62] 1.9% map [61] 4.5% loop [67] 93.6% [72] 10640(50.2%) 1156(5.5%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 52.1% real->bigfloat [82] 20.9% loop [67] 14.2% ->flonum [85] 1.9% --------------------------------------------------------------------- for-loop [50] 5.0% loop [67] 28.4% apply-match [31] 30.0% for-loop [38] 36.6% [73] 1612(7.6%) 184(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [84] 43.1% loop [67] 28.4% set [83] 17.1% --------------------------------------------------------------------- hash-update! [69] 100.0% [74] 384(1.8%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [86] 100.0% --------------------------------------------------------------------- loop [67] 100.0% [75] 238(1.1%) 238(1.1%) ...e/case-arrow.rkt:150:50 (unknown source) --------------------------------------------------------------------- f37 [68] 100.0% [76] 208(1.0%) 208(1.0%) parse-app .../collects/racket/private/kw.rkt:903:2 --------------------------------------------------------------------- hash-ref! [70] 100.0% [77] 208(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 hash-ref! [70] 100.0% --------------------------------------------------------------------- hash-ref! [70] 100.0% [78] 208(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [70] 100.0% --------------------------------------------------------------------- hash-ref! [70] 100.0% [79] 208(1.0%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [70] 100.0% --------------------------------------------------------------------- loop [67] 100.0% [80] 184(0.9%) 0(0.0%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [87] 100.0% --------------------------------------------------------------------- ??? [72] 100.0% [81] 5542(26.2%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [91] 62.3% bf* [88] 37.7% --------------------------------------------------------------------- loop [67] 36.5% ??? [72] 63.5% [82] 3502(16.5%) 3222(15.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 8.0% --------------------------------------------------------------------- new-enode [60] 23.4% loop! [73] 76.6% [83] 822(3.9%) 822(3.9%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- loop! [73] 100.0% [84] 798(3.8%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [89] 100.0% --------------------------------------------------------------------- ??? [72] 47.6% for-loop [62] 52.4% [85] 424(2.0%) 202(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [90] 52.4% --------------------------------------------------------------------- ??? [74] 100.0% [86] 384(1.8%) 384(1.8%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 --------------------------------------------------------------------- foldl [80] 100.0% [87] 184(0.9%) 184(0.9%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 --------------------------------------------------------------------- ??? [81] 100.0% [88] 2090(9.9%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [91] 100.0% --------------------------------------------------------------------- custom-set-union [84] 100.0% [89] 798(3.8%) 398(1.9%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [92] 50.1% --------------------------------------------------------------------- ->flonum [85] 100.0% [90] 222(1.0%) 222(1.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 --------------------------------------------------------------------- bf* [88] 37.7% ??? [81] 62.3% [91] 5542(26.2%) 1206(5.7%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfdiv [93] 64.6% bfsqr [94] 13.7% --------------------------------------------------------------------- for-loop [89] 100.0% [92] 400(1.9%) 400(1.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 --------------------------------------------------------------------- ??? [91] 100.0% [93] 3578(16.9%) 2546(12.0%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 28.8% --------------------------------------------------------------------- ??? [91] 100.0% [94] 758(3.6%) 758(3.6%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 --------------------------------------------------------------------- real->bigfloat [82] 21.3% bfdiv [93] 78.7% [95] 1312(6.2%) 1312(6.2%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------