Profiling results ----------------- Total cpu time observed: 21722ms (out of 22180ms) Number of samples taken: 89 (once every 244ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 95 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [29] 100.0% [1] 21076(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [7] 100.0% ----------------------------------------------------------------------- ??? [29] 100.0% [2] 9126(42.0%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [8] 88.6% loop [34] 7.0% get-final-combination [11] 4.4% ----------------------------------------------------------------------- loop [67] 3.1% ??? [29] 96.9% [3] 6598(30.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [9] 68.6% iterate-egraph!5 [15] 18.9% for-loop [10] 12.5% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [4] 402(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [12] 100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [5] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [13] 100.0% ----------------------------------------------------------------------- loop [67] 100.0% [6] 200(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [59] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [7] 21076(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [29] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 8082(37.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [14] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [9] 4526(20.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 826(3.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [15] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 404(1.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [17] 100.0% ----------------------------------------------------------------------- ??? [4] 100.0% [12] 402(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [59] 50.2% simplify [16] 49.8% ----------------------------------------------------------------------- ??? [5] 100.0% [13] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [59] 100.0% ----------------------------------------------------------------------- for-loop [8] 100.0% [14] 8082(37.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [18] 79.1% finalize-iter! [20] 8.4% gen-series! [21] 7.4% choose-best-alt! [22] 2.5% localize-error [23] 2.5% ----------------------------------------------------------------------- for-loop [10] 12.5% simplify [3] 18.9% simplify-expr [9] 68.6% [15] 6598(30.4%) 426(2.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [19] 93.5% ----------------------------------------------------------------------- for-loop [12] 33.2% hash-ref! [59] 66.8% [16] 602(2.8%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [68] 66.4% parse-loop12 [63] 33.6% ----------------------------------------------------------------------- get-final-combination [11] 100.0% [17] 404(1.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [54] 50.0% loop [67] 50.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [18] 6396(29.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [24] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [15] 100.0% [19] 6172(28.4%) 200(0.9%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [25] 69.3% loop [26] 24.1% apply-match [30] 3.3% ----------------------------------------------------------------------- run-iter! [14] 100.0% [20] 682(3.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [27] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [21] 602(2.8%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [28] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [22] 202(0.9%) 0(0.0%) choose-best-alt! .../herbie/src/mainloop.rkt:120:0 ??? [27] 100.0% ----------------------------------------------------------------------- run-iter! [14] 100.0% [23] 200(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [59] 100.0% ----------------------------------------------------------------------- simplify! [18] 100.0% [24] 6396(29.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [29] 100.0% ----------------------------------------------------------------------- for-loop [25] 50.0% one-iter [19] 50.0% [25] 4280(19.7%) 886(4.1%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [25] 50.0% match-e [35] 39.6% ----------------------------------------------------------------------- one-iter [19] 100.0% [26] 1490(6.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [30] 100.0% ----------------------------------------------------------------------- choose-best-alt! [22] 22.9% finalize-iter! [20] 77.1% [27] 884(4.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [31] 77.1% atab-pick-alt8 [33] 22.9% ----------------------------------------------------------------------- gen-series! [21] 100.0% [28] 602(2.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [32] 100.0% ----------------------------------------------------------------------- for-loop [24] 10.2% run [7] 43.9% [29] 21722(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.9% loop [34] 29.5% run-improve58 [2] 16.4% simplify [3] 10.2% ----------------------------------------------------------------------- one-iter [19] 11.9% loop [26] 88.1% [30] 1692(7.8%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [38] 26.2% loop! [70] 26.1% match-e [35] 23.8% for-loop [41] 11.9% mk-enode! [39] 11.9% ----------------------------------------------------------------------- ??? [27] 100.0% [31] 682(3.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [36] 100.0% ----------------------------------------------------------------------- for-loop [28] 100.0% [32] 602(2.8%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ----------------------------------------------------------------------- ??? [27] 100.0% [33] 202(0.9%) 0(0.0%) atab-pick-alt8 ...rbie/src/core/alt-table.rkt:54:0 ??? [40] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 4.8% ??? [29] 95.2% [34] 13236(60.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [42] 37.2% loop [50] 33.7% make-exacts* [49] 29.1% ----------------------------------------------------------------------- apply-match [30] 8.0% for-loop [51] 14.0% for-loop [25] 78.0% [35] 3796(17.5%) 3192(14.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [44] 13.3% for-loop [51] 11.4% ----------------------------------------------------------------------- for-loop [31] 100.0% [36] 682(3.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43] 100.0% ----------------------------------------------------------------------- taylor-alt [32] 100.0% [37] 602(2.8%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ----------------------------------------------------------------------- apply-match [30] 100.0% [38] 444(2.0%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [46] 100.0% ----------------------------------------------------------------------- apply-match [30] 100.0% [39] 202(0.9%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [47] 100.0% ----------------------------------------------------------------------- atab-pick-alt8 [33] 100.0% [40] 202(0.9%) 0(0.0%) ??? ...tract/private/arrow-higher-order.rkt:369:33 best-alt [48] 100.0% ----------------------------------------------------------------------- apply-match [30] 100.0% [41] 202(0.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [70] 100.0% ----------------------------------------------------------------------- loop [34] 100.0% [42] 4920(22.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [49] 57.7% loop [50] 42.3% ----------------------------------------------------------------------- atab-add-altn [36] 100.0% [43] 682(3.1%) 240(1.1%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [74] 64.8% ----------------------------------------------------------------------- match-e [35] 100.0% [44] 604(2.8%) 200(0.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 loop [67] 33.4% for-loop [51] 16.7% list-cartesian-product [55] 16.7% ----------------------------------------------------------------------- location-do [45] 41.8% for-loop [37] 58.2% [45] 602(2.8%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [52] 58.2% location-do [45] 41.8% ----------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [46] 444(2.0%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [53] 100.0% ----------------------------------------------------------------------- mk-enode! [39] 100.0% [47] 202(0.9%) 202(0.9%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- ??? [40] 100.0% [48] 202(0.9%) 0(0.0%) best-alt /home/ztatlock/herbie/src/glue.rkt:79:0 loop [54] 100.0% ----------------------------------------------------------------------- loop [42] 42.4% loop [34] 57.6% [49] 6696(30.8%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [56] 52.5% loop [67] 47.5% ----------------------------------------------------------------------- loop [42] 31.8% loop [34] 68.2% [50] 6540(30.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% ----------------------------------------------------------------------- for-loop [44] 18.9% match-e [35] 81.1% [51] 1066(4.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 100.0% ----------------------------------------------------------------------- location-do [45] 100.0% [52] 602(2.8%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [57] 100.0% ----------------------------------------------------------------------- update-leader! [46] 100.0% [53] 444(2.0%) 222(1.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [58] 50.0% ----------------------------------------------------------------------- best-alt [48] 50.0% extract-alt [17] 50.0% [54] 404(1.9%) 0(0.0%) loop /home/ztatlock/herbie/src/common.rkt:86:2 composed [71] 100.0% ----------------------------------------------------------------------- for-loop [44] 100.0% [55] 202(0.9%) 202(0.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 ----------------------------------------------------------------------- f16 [68] 3.8% make-exacts* [49] 33.6% loop [50] 62.5% [56] 10458(48.1%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [67] 96.2% make-multiplication-node [61] 1.9% f16 [68] 1.5% parse-loop12 [63] 0.4% ----------------------------------------------------------------------- approximate9 [52] 100.0% [57] 602(2.8%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [59] 100.0% ----------------------------------------------------------------------- for-loop [53] 100.0% [58] 222(1.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [60] 100.0% ----------------------------------------------------------------------- for-loop [13] 6.2% ??? [66] 6.2% localize-error [23] 8.3% for-loop [12] 8.4% ??? [6] 16.6% ??? [62] 27.1% loop [57] 27.1% [59] 802(3.7%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [62] 27.1% parse-loop12 [63] 24.9% ??? [4] 20.9% simplify [16] 14.6% ??? [66] 6.2% ??? [5] 6.2% ----------------------------------------------------------------------- for-loop [58] 100.0% [60] 222(1.0%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [64] 100.0% ----------------------------------------------------------------------- map [56] 100.0% [61] 200(0.9%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [65]100.0% ----------------------------------------------------------------------- hash-ref! [59] 100.0% [62] 602(2.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [59] 100.0% ----------------------------------------------------------------------- loop [67] 11.2% parse-loop12 [63] 11.2% simplify [16] 11.2% hash-ref! [59] 33.2% map [56] 33.2% [63] 602(2.8%) 200(0.9%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [67] 44.4% parse-loop12 [63] 11.2% f16 [68] 11.2% ----------------------------------------------------------------------- hash-update! [60] 100.0% [64] 222(1.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [69] 100.0% ----------------------------------------------------------------------- make-multiplication-node [61] 100.0% [65] 200(0.9%) 200(0.9%) make-multiplication-subnode ...re/reduce.rkt:231:0 ----------------------------------------------------------------------- hash-ref! [59] 100.0% [66] 200(0.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [59] 100.0% ----------------------------------------------------------------------- make-exacts* [49] 0.2% loop! [70] 0.3% for-loop [44] 0.5% extract-alt [17] 1.4% parse-loop12 [63] 1.6% map [56] 3.9% loop [67] 92.1% [67] 14282(65.7%) 252(1.2%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [67] 92.1% ??? [79] 4.1% simplify [3] 1.4% parse-loop12 [63] 1.4% loop! [70] 0.3% ??? [6] 0.1% ??? [83] 0.1% ->flonum [72] 0.0% ----------------------------------------------------------------------- composed [71] 6.7% parse-loop12 [63] 6.7% append-map [73] 20.1% map [56] 26.6% simplify [16] 39.9% [68] 602(2.8%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [56] 66.4% append-map [73] 26.8% composed [71] 6.7% ----------------------------------------------------------------------- ??? [64] 100.0% [69] 222(1.0%) 222(1.0%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- loop [67] 18.6% for-loop [41] 31.4% apply-match [30] 50.0% [70] 644(3.0%) 202(0.9%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [76] 31.4% loop [67] 18.6% update-en-expr [75] 18.6% ----------------------------------------------------------------------- f16 [68] 33.3% loop [54] 66.7% [71] 606(2.8%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [74] 66.7% f16 [68] 33.3% ----------------------------------------------------------------------- loop [67] 100.0% [72] 216(1.0%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [91] 100.0% ----------------------------------------------------------------------- f16 [68] 100.0% [73] 202(0.9%) 202(0.9%) append-map ...acket/collects/racket/list.rkt:565:2 f16 [68] 75.0% ----------------------------------------------------------------------- composed [71] 47.8% best-and-tied-at-points [43] 52.2% [74] 846(3.9%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [77] 100.0% ----------------------------------------------------------------------- loop! [70] 100.0% [75] 240(1.1%) 240(1.1%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- loop! [70] 100.0% [76] 202(0.9%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [78] 100.0% ----------------------------------------------------------------------- errors [74] 100.0% [77] 846(3.9%) 202(0.9%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [79] 76.1% ----------------------------------------------------------------------- custom-set-union [76] 100.0% [78] 202(0.9%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [80] 100.0% ----------------------------------------------------------------------- for-loop [77] 4.8% loop [67] 95.2% [79] 13412(61.7%) 666(3.1%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 70.1% real->bigfloat [82] 18.2% ??? [90] 5.2% ----------------------------------------------------------------------- for-loop [78] 100.0% [80] 202(0.9%) 202(0.9%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- ??? [79] 100.0% [81] 9396(43.3%) 220(1.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [83] 85.6% ...higher-order.rkt:373:33 [84] 7.5% ??? [85] 4.5% ----------------------------------------------------------------------- ??? [79] 100.0% [82] 2440(11.2%) 1958(9.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [89] 19.8% ----------------------------------------------------------------------- loop [67] 2.4% ??? [81] 97.6% [83] 8244(38.0%) 3382(15.6%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfatan2 [86] 39.1% ??? [91] 11.9% bfsqrt [88] 7.9% ----------------------------------------------------------------------- ??? [81] 100.0% [84] 708(3.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [87] 100.0% ----------------------------------------------------------------------- ??? [81] 100.0% [85] 424(2.0%) 424(2.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ----------------------------------------------------------------------- ??? [83] 100.0% [86] 3226(14.9%) 2452(11.3%) bfatan2 ...ib/math/private/bigfloat/mpfr.rkt:819:4 ??? [89] 24.0% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [84] 100.0% [87] 708(3.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [90] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [88] 652(3.0%) 218(1.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [89] 66.6% ----------------------------------------------------------------------- bfsqrt [88] 25.7% real->bigfloat [82] 28.5% bfatan2 [86] 45.8% [89] 1690(7.8%) 1690(7.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [79] 49.7% ??? [87] 50.3% [90] 1408(6.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [91] 100.0% ----------------------------------------------------------------------- ->flonum [72] 8.3% ??? [83] 37.7% ??? [90] 54.0% [91] 2608(12.0%) 1428(6.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [92] 45.2% ----------------------------------------------------------------------- ??? [91] 100.0% [92] 1180(5.4%) 216(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [93] 81.7% ----------------------------------------------------------------------- ??? [92] 100.0% [93] 964(4.4%) 964(4.4%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------