Profiling results ----------------- Total cpu time observed: 14766ms (out of 15156ms) Number of samples taken: 60 (once every 246ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [23] 100.0% [1] 14144(95.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ---------------------------------------------------------------------- ??? [23] 100.0% [2] 4950(33.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 100.0% ---------------------------------------------------------------------- ??? [23] 100.0% [3] 3424(23.2%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 64.9% for-loop [9] 23.4% iterate-egraph!5 [11] 11.7% ---------------------------------------------------------------------- f37 [64] 100.0% [4] 200(1.4%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [59] 100.0% ---------------------------------------------------------------------- loop [70] 100.0% [5] 200(1.4%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [22] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 98.6% [6] 14344(97.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [23] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [7] 4950(33.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [10] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [8] 2222(15.0%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [9] 802(5.4%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [11] 100.0% ---------------------------------------------------------------------- for-loop [7] 100.0% [10] 4950(33.5%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [12] 73.3% finalize-iter! [14] 14.2% gen-series! [15] 8.5% localize-error [16] 4.0% ---------------------------------------------------------------------- simplify [3] 11.7% for-loop [9] 23.4% simplify-expr [8] 64.9% [11] 3424(23.2%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [13] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [12] 3626(24.6%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [17] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [11] 100.0% [13] 3424(23.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [18] 59.2% loop [19] 40.8% ---------------------------------------------------------------------- run-iter! [10] 100.0% [14] 704(4.8%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [20] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [15] 420(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [21] 100.0% ---------------------------------------------------------------------- run-iter! [10] 100.0% [16] 200(1.4%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [22] 100.0% ---------------------------------------------------------------------- simplify! [12] 100.0% [17] 3626(24.6%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [23] 94.4% debug-print [28] 5.6% ---------------------------------------------------------------------- for-loop [18] 50.0% one-iter [13] 50.0% [18] 2028(13.7%) 400(2.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [18] 50.0% match-e [24] 40.1% ---------------------------------------------------------------------- one-iter [13] 100.0% [19] 1396(9.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [25] 100.0% ---------------------------------------------------------------------- finalize-iter! [14] 100.0% [20] 704(4.8%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [26] 100.0% ---------------------------------------------------------------------- gen-series! [15] 100.0% [21] 420(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [27] 100.0% ---------------------------------------------------------------------- localize-error [16] 33.3% ??? [5] 66.7% [22] 200(1.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [68] 100.0% ---------------------------------------------------------------------- for-loop [17] 7.8% run [6] 46.1% [23] 14544(98.5%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.7% loop [29] 34.4% run-improve58 [2] 13.1% simplify [3] 7.8% ---------------------------------------------------------------------- for-loop [36] 6.1% for-loop [18] 93.9% [24] 1628(11.0%) 1226(8.3%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [35] 12.4% for-loop [36] 6.1% list-cartesian-product [41] 6.1% ---------------------------------------------------------------------- loop [19] 100.0% [25] 1396(9.5%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 for-loop [31] 42.7% merge-egraph-nodes! [38] 28.7% substitute-e [33] 28.7% ---------------------------------------------------------------------- ??? [20] 100.0% [26] 704(4.8%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [30] 100.0% ---------------------------------------------------------------------- for-loop [21] 100.0% [27] 420(2.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [32] 100.0% ---------------------------------------------------------------------- for-loop [17] 100.0% [28] 202(1.4%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [34] 100.0% ---------------------------------------------------------------------- ??? [23] 100.0% [29] 9594(65.0%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [45] 57.2% loop [37] 37.1% loop [46] 3.6% for-loop [44] 2.1% ---------------------------------------------------------------------- for-loop [26] 100.0% [30] 704(4.8%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [39] 68.8% override-at-pnts [43] 31.2% ---------------------------------------------------------------------- apply-match [25] 100.0% [31] 596(4.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [74] 66.4% merge-egraph-nodes! [38] 33.6% ---------------------------------------------------------------------- taylor-alt [27] 100.0% [32] 420(2.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [40] 100.0% ---------------------------------------------------------------------- apply-match [25] 100.0% [33] 400(2.7%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [42] 100.0% ---------------------------------------------------------------------- debug-print [28] 100.0% [34] 202(1.4%) 202(1.4%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ---------------------------------------------------------------------- match-e [24] 100.0% [35] 202(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [41] 100.0% ---------------------------------------------------------------------- match-e [24] 100.0% [36] 200(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [24] 100.0% ---------------------------------------------------------------------- loop [29] 100.0% [37] 3558(24.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [46] 67.2% make-exacts* [45] 32.8% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 16.7% for-loop [31] 33.3% apply-match [25] 50.0% [38] 600(4.1%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 for-loop [51] 33.3% update-leader! [52] 33.3% merge-egraph-nodes! [38] 16.7% loop! [74] 16.7% ---------------------------------------------------------------------- atab-add-altn [30] 100.0% [39] 484(3.3%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [47] 100.0% ---------------------------------------------------------------------- location-do [40] 31.7% for-loop [32] 68.3% [40] 420(2.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [48] 68.3% location-do [40] 31.7% ---------------------------------------------------------------------- list-cartesian-product [41] 24.9% match-e [24] 24.9% for-loop [35] 50.2% [41] 402(2.7%) 402(2.7%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [41] 24.9% ---------------------------------------------------------------------- substitute-e [33] 100.0% [42] 400(2.7%) 200(1.4%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [50] 50.0% ---------------------------------------------------------------------- atab-add-altn [30] 100.0% [43] 220(1.5%) 0(0.0%) override-at-pnts ...e/src/core/alt-table.rkt:145:0 errors [47] 100.0% ---------------------------------------------------------------------- loop [29] 100.0% [44] 200(1.4%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [49] 100.0% ---------------------------------------------------------------------- loop [37] 17.5% loop [29] 82.5% [45] 6658(45.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [70] 62.9% map [53] 37.1% ---------------------------------------------------------------------- loop [29] 12.6% loop [37] 87.4% [46] 2736(18.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [53] 100.0% ---------------------------------------------------------------------- override-at-pnts [43] 31.2% best-and-tied-at-points [39] 68.8% [47] 704(4.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [54] 68.8% for-loop [55] 31.2% ---------------------------------------------------------------------- location-do [40] 100.0% [48] 420(2.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-quotient [56] 52.4% f37 [64] 47.6% ---------------------------------------------------------------------- for-loop [44] 100.0% [49] 200(1.4%) 200(1.4%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ---------------------------------------------------------------------- mk-enode! [42] 100.0% [50] 200(1.4%) 200(1.4%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ---------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [51] 200(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [57] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [52] 200(1.4%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [58] 100.0% ---------------------------------------------------------------------- f37 [64] 4.1% make-exacts* [45] 45.5% loop [46] 50.4% [53] 5428(36.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [70] 91.5% ??? [73] 4.5% simplify-node [61] 4.1% ---------------------------------------------------------------------- errors [47] 100.0% [54] 484(3.3%) 484(3.3%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ---------------------------------------------------------------------- errors [47] 100.0% [55] 220(1.5%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ->flonum [60] 100.0% ---------------------------------------------------------------------- approximate9 [48] 100.0% [56] 220(1.5%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 simplify [59] 100.0% ---------------------------------------------------------------------- for-loop [51] 100.0% [57] 200(1.4%) 0(0.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 for-loop [62] 100.0% ---------------------------------------------------------------------- update-leader! [52] 100.0% [58] 200(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [63] 100.0% ---------------------------------------------------------------------- taylor-invert [4] 47.6% taylor-quotient [56] 52.4% [59] 420(2.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f37 [64] 100.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [60] 220(1.5%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [65] 100.0% ---------------------------------------------------------------------- map [53] 100.0% [61] 220(1.5%) 0(0.0%) simplify-node ...k/herbie/src/core/reduce.rkt:41:0 append-map [66] 100.0% ---------------------------------------------------------------------- update-en-expr [57] 100.0% [62] 200(1.4%) 200(1.4%) for-loop ...tlock/herbie/src/core/egraph.rkt:213:6 ---------------------------------------------------------------------- for-loop [58] 100.0% [63] 200(1.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [67] 100.0% ---------------------------------------------------------------------- approximate9 [48] 23.8% simplify [59] 76.2% [64] 420(2.8%) 200(1.4%) f37 ...t/collects/racket/match/compiler.rkt:499:40 map [53] 52.4% taylor-invert [4] 23.8% ---------------------------------------------------------------------- ->flonum [60] 100.0% [65] 220(1.5%) 220(1.5%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- simplify-node [61] 100.0% [66] 220(1.5%) 0(0.0%) append-map ...acket/collects/racket/list.rkt:565:2 parse-loop12 [68] 100.0% ---------------------------------------------------------------------- for-loop [63] 100.0% [67] 200(1.4%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [69] 100.0% ---------------------------------------------------------------------- hash-ref! [22] 47.6% append-map [66] 52.4% [68] 420(2.8%) 0(0.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 for-loop [71] 52.4% loop [70] 47.6% ---------------------------------------------------------------------- hash-update! [67] 100.0% [69] 200(1.4%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [72] 100.0% ---------------------------------------------------------------------- parse-loop12 [68] 0.1% make-exacts* [45] 0.1% loop! [74] 0.3% map [53] 0.4% ??? [73] 2.7% loop [70] 96.4% [70] 9790(66.3%) 200(1.4%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [70] 96.4% real->bigfloat [77] 2.5% ??? [73] 0.5% loop! [74] 0.3% ??? [5] 0.1% bf* [81] 0.0% ??? [90] 0.0% ---------------------------------------------------------------------- parse-loop12 [68] 100.0% [71] 220(1.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:90:13 make-multiplication-node [75] 100.0% ---------------------------------------------------------------------- ??? [69] 100.0% [72] 200(1.4%) 200(1.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- map [53] 2.6% loop [70] 97.4% [73] 9394(63.6%) 444(3.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [76] 43.7% real->bigfloat [77] 33.8% loop [70] 12.6% new [79] 2.7% ??? [90] 2.4% ---------------------------------------------------------------------- loop [70] 16.4% merge-egraph-nodes! [38] 33.6% for-loop [31] 50.0% [74] 596(4.0%) 196(1.3%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [78] 67.1% loop [70] 16.4% ---------------------------------------------------------------------- for-loop [71] 100.0% [75] 220(1.5%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [80]100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [76] 4104(27.8%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [85] 71.2% bf* [81] 19.2% ...higher-order.rkt:373:33 [83] 9.6% ---------------------------------------------------------------------- loop [70] 13.6% ??? [73] 86.4% [77] 3680(24.9%) 3420(23.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [91] 7.1% ---------------------------------------------------------------------- loop! [74] 100.0% [78] 400(2.7%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [82] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [79] 252(1.7%) 252(1.7%) new ...cket/contract/private/case-arrow.rkt:227:53 ---------------------------------------------------------------------- make-multiplication-node [75] 100.0% [80] 220(1.5%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [84] 100.0% ---------------------------------------------------------------------- loop [70] 20.2% ??? [76] 79.8% [81] 990(6.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [85] 100.0% ---------------------------------------------------------------------- custom-set-union [78] 100.0% [82] 400(2.7%) 200(1.4%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [87] 50.0% ---------------------------------------------------------------------- ??? [76] 100.0% [83] 392(2.7%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [86] 100.0% ---------------------------------------------------------------------- make-multiplication-subnode [80]100.0% [84] 220(1.5%) 220(1.5%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ---------------------------------------------------------------------- bf* [81] 25.3% ??? [76] 74.7% [85] 3912(26.5%) 200(1.4%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [88] 63.1% bfsqr [89] 27.0% ??? [92] 4.8% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [83] 100.0% [86] 392(2.7%) 274(1.9%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [90] 30.1% ---------------------------------------------------------------------- for-loop [82] 100.0% [87] 200(1.4%) 200(1.4%) for-loop ...cts/racket/private/set-types.rkt:178:5 ---------------------------------------------------------------------- ??? [85] 100.0% [88] 2468(16.7%) 1374(9.3%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [91] 44.3% ---------------------------------------------------------------------- ??? [85] 100.0% [89] 1056(7.2%) 794(5.4%) bfsqr ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [91] 24.8% ---------------------------------------------------------------------- ??? [86] 14.2% ??? [73] 27.4% loop [70] 58.4% [90] 832(5.6%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [92] 100.0% ---------------------------------------------------------------------- real->bigfloat [77] 16.1% bfsqr [89] 16.2% bfmul [88] 67.7% [91] 1616(10.9%) 1616(10.9%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [85] 18.4% ??? [90] 81.6% [92] 1020(6.9%) 534(3.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [93] 47.6% ---------------------------------------------------------------------- ??? [92] 100.0% [93] 486(3.3%) 258(1.7%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [94] 46.9% ---------------------------------------------------------------------- ??? [93] 100.0% [94] 228(1.5%) 228(1.5%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------