Profiling results ----------------- Total cpu time observed: 18790ms (out of 19128ms) Number of samples taken: 90 (once every 209ms) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [26] 100.0% [1] 16982(90.4%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [4] 100.0% ---------------------------------------------------------------------- ??? [26] 100.0% [2] 10676(56.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [5] 98.0% get-final-combination [8] 2.0% ---------------------------------------------------------------------- loop [72] 2.3% ??? [26] 97.7% [3] 9098(48.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [6] 55.2% for-loop [7] 33.3% iterate-egraph!5 [10] 11.5% ---------------------------------------------------------------------- profile-thunk14 [1] 98.8% [4] 17182(91.4%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [26] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [5] 10466(55.7%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [9] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [6] 5020(26.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [10] 96.0% loop [12] 4.0% ---------------------------------------------------------------------- simplify [3] 100.0% [7] 3034(16.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [10] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [8] 210(1.1%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [11] 100.0% ---------------------------------------------------------------------- for-loop [5] 100.0% [9] 10466(55.7%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [13] 86.8% gen-series! [15] 5.7% finalize-iter! [16] 5.6% localize-error [18] 1.9% ---------------------------------------------------------------------- simplify [3] 11.7% for-loop [7] 34.1% simplify-expr [6] 54.2% [10] 8898(47.4%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [14] 100.0% ---------------------------------------------------------------------- get-final-combination [8] 100.0% [11] 210(1.1%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [72] 100.0% ---------------------------------------------------------------------- simplify-expr [6] 100.0% [12] 200(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [17] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [13] 9088(48.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [19] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [10] 100.0% [14] 8898(47.4%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [20] 54.8% loop [21] 40.6% loop [24] 2.4% apply-match [27] 2.3% ---------------------------------------------------------------------- run-iter! [9] 100.0% [15] 600(3.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [22] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [16] 582(3.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [23] 100.0% ---------------------------------------------------------------------- loop [12] 100.0% [17] 200(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [25] 100.0% ---------------------------------------------------------------------- run-iter! [9] 100.0% [18] 196(1.0%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [67] 100.0% ---------------------------------------------------------------------- simplify! [13] 100.0% [19] 9088(48.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [26] 97.8% debug-print [73] 2.2% ---------------------------------------------------------------------- for-loop [20] 50.0% one-iter [14] 50.0% [20] 4876(25.9%) 1404(7.5%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [20] 50.0% match-e [32] 35.6% ---------------------------------------------------------------------- one-iter [14] 100.0% [21] 3610(19.2%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [27] 100.0% ---------------------------------------------------------------------- gen-series! [15] 100.0% [22] 600(3.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [28] 100.0% ---------------------------------------------------------------------- finalize-iter! [16] 100.0% [23] 582(3.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [29] 100.0% ---------------------------------------------------------------------- one-iter [14] 100.0% [24] 210(1.1%) 210(1.1%) loop ...ket/collects/racket/private/list.rkt:264:4 ---------------------------------------------------------------------- pass [17] 100.0% [25] 200(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [30] 100.0% ---------------------------------------------------------------------- for-loop [19] 17.2% run [4] 40.0% [26] 18588(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 39.0% run-improve58 [2] 22.0% loop [31] 21.8% simplify [3] 17.2% ---------------------------------------------------------------------- one-iter [14] 5.3% loop [21] 94.7% [27] 3812(20.3%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [38] 46.9% for-loop [33] 22.1% loop! [77] 10.5% match-e [32] 9.9% mk-enode! [42] 5.3% substitute-e [36] 5.3% ---------------------------------------------------------------------- for-loop [22] 100.0% [28] 600(3.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [34] 100.0% ---------------------------------------------------------------------- ??? [23] 100.0% [29] 582(3.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [35] 100.0% ---------------------------------------------------------------------- for-loop [25] 100.0% [30] 200(1.1%) 200(1.1%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ---------------------------------------------------------------------- ??? [26] 100.0% [31] 7912(42.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [37] 50.6% make-exacts* [44] 43.1% loop [45] 3.7% for-loop [43] 2.5% ---------------------------------------------------------------------- apply-match [27] 7.2% for-loop [46] 16.1% for-loop [20] 76.7% [32] 3850(20.5%) 1824(9.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [39] 44.8% for-loop [46] 5.4% list-cartesian-product [49] 5.2% loop [72] 2.6% ---------------------------------------------------------------------- apply-match [27] 100.0% [33] 842(4.5%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [77] 76.2% merge-egraph-nodes! [38] 23.8% ---------------------------------------------------------------------- taylor-alt [28] 100.0% [34] 600(3.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [40] 100.0% ---------------------------------------------------------------------- for-loop [29] 100.0% [35] 582(3.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [41] 100.0% ---------------------------------------------------------------------- apply-match [27] 100.0% [36] 202(1.1%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [42] 100.0% ---------------------------------------------------------------------- loop [31] 100.0% [37] 4004(21.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [45] 69.2% make-exacts* [44] 30.8% ---------------------------------------------------------------------- for-loop [33] 10.1% merge-egraph-nodes! [38] 10.1% apply-match [27] 79.8% [38] 1986(10.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [47] 35.1% loop! [77] 24.4% enode-merge! [50] 20.2% merge-egraph-nodes! [38] 10.1% for-loop [52] 10.1% ---------------------------------------------------------------------- match-e [32] 100.0% [39] 1826(9.7%) 1246(6.6%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [46] 28.0% list-cartesian-product [49] 20.8% ---------------------------------------------------------------------- location-do [40] 39.1% for-loop [34] 60.9% [40] 600(3.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [51] 44.1% location-do [40] 39.1% simplify [61] 16.8% ---------------------------------------------------------------------- atab-add-altn [35] 100.0% [41] 582(3.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [48] 100.0% ---------------------------------------------------------------------- substitute-e [36] 50.0% apply-match [27] 50.0% [42] 404(2.2%) 404(2.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- loop [31] 100.0% [43] 200(1.1%) 200(1.1%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 ---------------------------------------------------------------------- loop [37] 26.5% loop [31] 73.5% [44] 4644(24.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [72] 52.8% map [53] 47.2% ---------------------------------------------------------------------- loop [31] 9.6% loop [37] 90.4% [45] 3068(16.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [53] 100.0% ---------------------------------------------------------------------- match-e [32] 33.6% for-loop [39] 66.4% [46] 1238(6.6%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [32] 100.0% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [47] 798(4.2%) 220(1.2%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [55] 50.1% make-sequence [60] 22.3% ---------------------------------------------------------------------- best-and-tied-at-points [41] 100.0% [48] 582(3.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [54] 100.0% ---------------------------------------------------------------------- list-cartesian-product [49] 15.5% match-e [32] 34.5% for-loop [39] 50.0% [49] 580(3.1%) 200(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [56] 50.0% list-cartesian-product [49] 15.5% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [50] 402(2.1%) 202(1.1%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [57] 49.8% ---------------------------------------------------------------------- location-do [40] 100.0% [51] 398(2.1%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 taylor-sqrt [58] 50.3% for-loop [59] 49.7% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 100.0% [52] 200(1.1%) 200(1.1%) for-loop ...e/ztatlock/herbie/src/common.rkt:205:9 ---------------------------------------------------------------------- ??? [62] 3.3% f94 [65] 6.8% make-exacts* [44] 37.4% loop [45] 52.4% [53] 5854(31.2%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 89.8% f94 [65] 3.5% ??? [62] 3.4% ->flonum [84] 3.3% ---------------------------------------------------------------------- errors [48] 100.0% [54] 582(3.1%) 200(1.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ulp-difference [63] 34.4% ??? [76] 31.3% ---------------------------------------------------------------------- update-leader! [47] 100.0% [55] 400(2.1%) 200(1.1%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [64] 50.0% ---------------------------------------------------------------------- list-cartesian-product [49] 100.0% [56] 380(2.0%) 380(2.0%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ---------------------------------------------------------------------- enode-merge! [50] 100.0% [57] 200(1.1%) 200(1.1%) custom-set-intersect! ...ivate/set-types.rkt:270:0 ---------------------------------------------------------------------- approximate9 [51] 100.0% [58] 200(1.1%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 simplify [61] 100.0% ---------------------------------------------------------------------- approximate9 [51] 100.0% [59] 198(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/taylor.rkt:28:18 f94 [65] 100.0% ---------------------------------------------------------------------- update-leader! [47] 100.0% [60] 178(0.9%) 178(0.9%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- taylor-sqrt [58] 49.8% location-do [40] 50.2% [61] 402(2.1%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [65] 50.2% parse-loop12 [68] 49.8% ---------------------------------------------------------------------- loop [72] 49.7% map [53] 50.3% [62] 394(2.1%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 f94 [65] 50.3% hash-ref! [67] 33.2% map [53] 16.6% ---------------------------------------------------------------------- for-loop [54] 100.0% [63] 200(1.1%) 0(0.0%) ulp-difference ...atlock/herbie/src/float.rkt:19:0 ??? [91] 100.0% ---------------------------------------------------------------------- for-loop [55] 100.0% [64] 200(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [66] 100.0% ---------------------------------------------------------------------- simplify [61] 7.2% ??? [62] 9.9% for-loop [59] 9.9% f94 [65] 29.7% map [53] 43.3% [65] 400(2.1%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [53] 53.2% f94 [65] 29.7% taylor [71] 9.9% gather-multiplicative-terms [69] 7.2% ---------------------------------------------------------------------- for-loop [64] 100.0% [66] 200(1.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [70] 100.0% ---------------------------------------------------------------------- localize-error [18] 33.3% ??? [62] 66.7% [67] 196(1.0%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 parse-loop12 [68] 100.0% ---------------------------------------------------------------------- hash-ref! [67] 49.5% simplify [61] 50.5% [68] 396(2.1%) 200(1.1%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [72] 49.5% ---------------------------------------------------------------------- f94 [65] 100.0% [69] 202(1.1%) 0(0.0%) gather-multiplicative-terms ...re/reduce.rkt:107:0 compose [74] 100.0% ---------------------------------------------------------------------- hash-update! [66] 100.0% [70] 200(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [75] 100.0% ---------------------------------------------------------------------- f94 [65] 100.0% [71] 198(1.1%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [73] 100.0% ---------------------------------------------------------------------- ??? [76] 0.0% make-exacts* [44] 0.1% parse-loop12 [68] 0.1% extract-alt [11] 0.7% match-e [32] 2.1% map [53] 2.5% loop! [77] 4.8% loop [72] 89.6% [72] 9344(49.7%) 200(1.1%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 89.6% loop! [77] 4.1% ??? [76] 2.6% loop [79] 2.1% simplify [3] 0.7% ??? [62] 0.1% real->bigfloat [81] 0.0% ---------------------------------------------------------------------- taylor [71] 49.7% for-loop [19] 50.3% [73] 398(2.1%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [78] 100.0% ---------------------------------------------------------------------- gather-multiplicative-terms [69]100.0% [74] 202(1.1%) 202(1.1%) compose ...collects/racket/private/list.rkt:385:12 ---------------------------------------------------------------------- ??? [70] 100.0% [75] 200(1.1%) 200(1.1%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- for-loop [54] 2.3% loop [72] 97.7% [76] 7894(42.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [80] 52.6% real->bigfloat [81] 26.7% loop [72] 16.3% ->flonum [84] 2.3% ??? [96] 2.1% ---------------------------------------------------------------------- merge-egraph-nodes! [38] 24.2% apply-match [27] 24.7% loop [72] 25.3% for-loop [33] 25.8% [77] 1630(8.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [72] 37.6% custom-set-union [82] 37.2% set [83] 18.5% update-en-expr [85] 6.7% ---------------------------------------------------------------------- debug-print [73] 100.0% [78] 398(2.1%) 198(1.1%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 write-proc [86] 50.3% ---------------------------------------------------------------------- loop [72] 100.0% [79] 200(1.1%) 200(1.1%) loop ...e/racket/collects/racket/function.rkt:53:6 ---------------------------------------------------------------------- ??? [76] 100.0% [80] 4152(22.1%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [92] 60.1% bf* [87] 26.4% ...higher-order.rkt:373:33 [88] 13.5% ---------------------------------------------------------------------- loop [72] 37.9% ??? [76] 62.1% [81] 3394(18.1%) 2688(14.3%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [97] 20.8% ---------------------------------------------------------------------- loop! [77] 100.0% [82] 808(4.3%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [89] 52.5% for-loop [90] 47.5% ---------------------------------------------------------------------- loop! [77] 100.0% [83] 402(2.1%) 402(2.1%) set ...collects/racket/private/set-types.rkt:982:0 ---------------------------------------------------------------------- ??? [76] 48.1% map [53] 51.9% [84] 378(2.0%) 196(1.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [91] 48.1% ---------------------------------------------------------------------- loop! [77] 100.0% [85] 220(1.2%) 220(1.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ---------------------------------------------------------------------- for-loop [78] 100.0% [86] 200(1.1%) 200(1.1%) write-proc ...lock/herbie/src/alternative.rkt:22:9 ---------------------------------------------------------------------- ??? [80] 100.0% [87] 1096(5.8%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [92] 100.0% ---------------------------------------------------------------------- ??? [80] 100.0% [88] 560(3.0%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [93] 100.0% ---------------------------------------------------------------------- custom-set-union [82] 100.0% [89] 424(2.3%) 424(2.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 ---------------------------------------------------------------------- custom-set-union [82] 100.0% [90] 384(2.0%) 384(2.0%) for-loop ...cts/racket/private/set-types.rkt:152:2 ---------------------------------------------------------------------- ->flonum [84] 47.6% ulp-difference [63] 52.4% [91] 382(2.0%) 382(2.0%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- bf* [87] 30.5% ??? [80] 69.5% [92] 3592(19.1%) 228(1.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [94] 56.0% bfsqrt [95] 25.9% ??? [98] 11.7% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [88] 100.0% [93] 560(3.0%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [96] 100.0% ---------------------------------------------------------------------- ??? [92] 100.0% [94] 2012(10.7%) 1108(5.9%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [97] 44.9% ---------------------------------------------------------------------- ??? [92] 100.0% [95] 932(5.0%) 760(4.0%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [97] 18.5% ---------------------------------------------------------------------- ??? [76] 22.9% ??? [93] 77.1% [96] 726(3.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [98] 100.0% ---------------------------------------------------------------------- bfsqrt [95] 9.7% real->bigfloat [81] 39.6% bfadd [94] 50.7% [97] 1782(9.5%) 1782(9.5%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [92] 36.6% ??? [96] 63.4% [98] 1146(6.1%) 552(2.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 51.8% ---------------------------------------------------------------------- ??? [98] 100.0% [99] 594(3.2%) 594(3.2%) ??? ...llects/racket/contract/combinator.rkt:178:4 ----------------------------------------------------------------------