Profiling results ----------------- Total cpu time observed: 36464ms (out of 37172ms) Number of samples taken: 156 (once every 234ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 99 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [40] 100.0% [1] 35672(97.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [10] 100.0% ---------------------------------------------------------------------- ??? [40] 100.0% [2] 8210(22.5%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [11] 84.6% loop [45] 12.7% get-final-combination [17] 2.7% ---------------------------------------------------------------------- ??? [40] 100.0% [3] 5206(14.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [12] 61.9% for-loop [13] 30.1% iterate-egraph!5 [22] 8.1% ---------------------------------------------------------------------- hash-ref! [80] 100.0% [4] 1878(5.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [72] 89.2% hash-ref! [80] 10.8% ---------------------------------------------------------------------- location-do [55] 100.0% [5] 546(1.5%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 f6 [14] 59.3% loop [18] 40.7% ---------------------------------------------------------------------- hash-ref! [80] 100.0% [6] 222(0.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop12 [15] 100.0% ---------------------------------------------------------------------- hash-ref! [80] 100.0% [7] 222(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [20] 100.0% ---------------------------------------------------------------------- hash-ref! [80] 100.0% [8] 222(0.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [19] 100.0% ---------------------------------------------------------------------- match-e [46] 100.0% [9] 200(0.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [16] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [10] 35672(97.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [40] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [11] 6942(19.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [21] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [12] 3220(8.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [22] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [13] 1566(4.3%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [22] 87.1% loop [25] 12.9% ---------------------------------------------------------------------- hash-ref! [80] 49.5% approximate9 [5] 50.5% [14] 642(1.8%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [68] 100.0% ---------------------------------------------------------------------- simplify [6] 41.1% hash-ref! [80] 58.9% [15] 540(1.5%) 222(0.6%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [72] 29.4% loop [23] 29.4% ---------------------------------------------------------------------- match-e [46] 50.0% for-loop [9] 50.0% [16] 400(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [46] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [17] 222(0.6%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [24] 100.0% ---------------------------------------------------------------------- approximate9 [5] 100.0% [18] 222(0.6%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [80] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [19] 222(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [80] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [20] 222(0.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [80] 100.0% ---------------------------------------------------------------------- for-loop [11] 100.0% [21] 6942(19.0%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [26] 75.0% finalize-iter! [28] 12.6% gen-series! [29] 7.9% localize-error [30] 4.6% ---------------------------------------------------------------------- simplify [3] 8.4% for-loop [13] 27.3% simplify-expr [12] 64.3% [22] 5004(13.7%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [27] 100.0% ---------------------------------------------------------------------- parse-loop12 [15] 2.0% loop [23] 98.0% [23] 318(0.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:37:19 loop [23] 98.0% ->flonum [75] 2.0% ---------------------------------------------------------------------- get-final-combination [17] 100.0% [24] 222(0.6%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 argmins [31] 100.0% ---------------------------------------------------------------------- for-loop [13] 100.0% [25] 202(0.6%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [32] 100.0% ---------------------------------------------------------------------- run-iter! [21] 100.0% [26] 5206(14.3%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [33] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [22] 100.0% [27] 5004(13.7%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [34] 67.9% loop [35] 28.1% apply-match [41] 4.0% ---------------------------------------------------------------------- run-iter! [21] 100.0% [28] 872(2.4%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [36] 100.0% ---------------------------------------------------------------------- run-iter! [21] 100.0% [29] 546(1.5%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [37] 100.0% ---------------------------------------------------------------------- run-iter! [21] 100.0% [30] 318(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [80] 100.0% ---------------------------------------------------------------------- extract-alt [24] 100.0% [31] 222(0.6%) 0(0.0%) argmins /home/ztatlock/herbie/src/common.rkt:85:0 composed [38] 100.0% ---------------------------------------------------------------------- loop [25] 100.0% [32] 202(0.6%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [39] 100.0% ---------------------------------------------------------------------- simplify! [26] 100.0% [33] 5206(14.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [40] 100.0% ---------------------------------------------------------------------- for-loop [34] 50.0% one-iter [27] 50.0% [34] 3398(9.3%) 820(2.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [34] 50.0% match-e [46] 37.9% ---------------------------------------------------------------------- one-iter [27] 100.0% [35] 1406(3.9%) 202(0.6%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [41] 85.6% ---------------------------------------------------------------------- finalize-iter! [28] 100.0% [36] 872(2.4%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [42] 100.0% ---------------------------------------------------------------------- gen-series! [29] 100.0% [37] 546(1.5%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [43] 100.0% ---------------------------------------------------------------------- argmins [31] 100.0% [38] 222(0.6%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 errors [64] 100.0% ---------------------------------------------------------------------- pass [32] 100.0% [39] 202(0.6%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 argmin [44] 100.0% ---------------------------------------------------------------------- for-loop [33] 4.8% run [10] 46.5% [40] 36464(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.5% loop [45] 39.6% run-improve58 [2] 9.1% simplify [3] 4.8% ---------------------------------------------------------------------- one-iter [27] 14.2% loop [35] 85.8% [41] 1404(3.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 substitute-e [49] 28.6% match-e [46] 28.5% loop! [50] 14.4% mk-enode! [56] 14.2% update-leader! [52] 14.2% ---------------------------------------------------------------------- ??? [36] 100.0% [42] 872(2.4%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [47] 100.0% ---------------------------------------------------------------------- for-loop [37] 100.0% [43] 546(1.5%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [48] 100.0% ---------------------------------------------------------------------- for-loop [39] 100.0% [44] 202(0.6%) 0(0.0%) argmin ...re/racket/collects/racket/list.rkt:743:0 expression-cost [51] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 3.6% ??? [40] 96.4% [45] 29300(80.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [53] 58.0% make-exacts* [62] 32.2% loop [63] 9.9% ---------------------------------------------------------------------- for-loop [16] 6.7% apply-match [41] 6.7% for-loop [34] 86.6% [46] 2978(8.2%) 2760(7.6%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 curry* [57] 7.3% for-loop [9] 3.4% for-loop [16] 3.4% ---------------------------------------------------------------------- for-loop [42] 100.0% [47] 872(2.4%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [54] 100.0% ---------------------------------------------------------------------- taylor-alt [43] 100.0% [48] 546(1.5%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [55] 100.0% ---------------------------------------------------------------------- substitute-e [49] 33.5% apply-match [41] 66.5% [49] 402(1.1%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [56] 49.8% substitute-e [49] 33.5% constant? [58] 16.7% ---------------------------------------------------------------------- apply-match [41] 100.0% [50] 202(0.6%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [59] 100.0% ---------------------------------------------------------------------- argmin [44] 100.0% [51] 202(0.6%) 0(0.0%) expression-cost ...k/herbie/src/programs.rkt:212:0 compile [60] 100.0% ---------------------------------------------------------------------- apply-match [41] 100.0% [52] 200(0.5%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [61] 100.0% ---------------------------------------------------------------------- loop [45] 100.0% [53] 16988(46.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [63] 48.7% make-exacts* [62] 40.1% eval-prog [69] 11.2% ---------------------------------------------------------------------- atab-add-altn [47] 100.0% [54] 872(2.4%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [64] 100.0% ---------------------------------------------------------------------- for-loop [48] 35.2% location-do [55] 64.8% [55] 546(1.5%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [55] 64.8% approximate9 [5] 35.2% ---------------------------------------------------------------------- apply-match [41] 50.0% substitute-e [49] 50.0% [56] 400(1.1%) 400(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ---------------------------------------------------------------------- match-e [46] 100.0% [57] 218(0.6%) 0(0.0%) curry* ...racket/collects/racket/function.rkt:44:2 procedure-arity [65] 100.0% ---------------------------------------------------------------------- substitute-e [49] 100.0% [58] 202(0.6%) 202(0.6%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 ---------------------------------------------------------------------- loop! [50] 100.0% [59] 202(0.6%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [66] 100.0% ---------------------------------------------------------------------- expression-cost [51] 100.0% [60] 202(0.6%) 0(0.0%) compile .../ztatlock/herbie/src/programs.rkt:189:0 hash-ref! [80] 100.0% ---------------------------------------------------------------------- update-leader! [52] 100.0% [61] 200(0.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [67] 100.0% ---------------------------------------------------------------------- loop [53] 41.9% loop [45] 58.1% [62] 16226(44.5%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [68] 48.6% loop [72] 47.1% eval-prog [69] 4.3% ---------------------------------------------------------------------- loop [45] 25.9% loop [53] 74.1% [63] 11166(30.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [68] 100.0% ---------------------------------------------------------------------- composed [38] 20.3% best-and-tied-at-points [54] 79.7% [64] 1094(3.0%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [69] 79.7% for-loop [70] 20.3% ---------------------------------------------------------------------- curry* [57] 100.0% [65] 218(0.6%) 218(0.6%) procedure-arity ...ket/private/norm-arity.rkt:7:27 ---------------------------------------------------------------------- custom-set-union [59] 100.0% [66] 202(0.6%) 202(0.6%) for-loop ...cts/racket/private/set-types.rkt:174:3 ---------------------------------------------------------------------- for-loop [61] 100.0% [67] 200(0.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [71] 100.0% ---------------------------------------------------------------------- f6 [14] 3.3% make-exacts* [62] 40.0% loop [63] 56.7% [68] 19690(54.0%) 324(0.9%) map ...acket/collects/racket/private/map.rkt:21:13 loop [72] 94.8% ??? [74] 1.9% ??? [76] 1.6% ---------------------------------------------------------------------- make-exacts* [62] 20.1% errors [64] 25.1% loop [53] 54.9% [69] 3478(9.5%) 872(2.4%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [80] 74.9% ---------------------------------------------------------------------- errors [64] 100.0% [70] 222(0.6%) 222(0.6%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ---------------------------------------------------------------------- for-loop [67] 100.0% [71] 200(0.5%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [73] 100.0% ---------------------------------------------------------------------- parse-loop12 [15] 1.1% make-exacts* [62] 1.5% map [68] 2.1% ??? [4] 5.9% loop [72] 89.4% [72] 28310(77.6%) 230(0.6%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [72] 89.4% hash-ref! [80] 5.9% ??? [74] 3.5% ??? [76] 1.1% ->flonum [75] 0.0% ---------------------------------------------------------------------- hash-update! [71] 100.0% [73] 200(0.5%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [77] 100.0% ---------------------------------------------------------------------- map [68] 1.4% loop [72] 98.6% [74] 26260(72.0%) 1192(3.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [78] 67.4% real->bigfloat [79] 19.3% ??? [91] 8.8% ---------------------------------------------------------------------- loop [72] 39.1% loop [23] 60.9% [75] 522(1.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 100.0% ---------------------------------------------------------------------- map [68] 50.0% loop [72] 50.0% [76] 318(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [80] 100.0% ---------------------------------------------------------------------- ??? [73] 100.0% [77] 200(0.5%) 200(0.5%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ---------------------------------------------------------------------- ??? [74] 100.0% [78] 17688(48.5%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 46.5% bffma [81] 17.4% ...higher-order.rkt:373:33 [83] 14.6% bf* [84] 14.1% ...ow-val-first.rkt:357:18 [85] 7.4% ---------------------------------------------------------------------- ??? [74] 100.0% [79] 5070(13.9%) 4740(13.0%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [94] 6.5% ---------------------------------------------------------------------- for-loop [20] 1.7% for-loop [19] 1.7% loop [18] 1.7% ??? [4] 3.0% compile [60] 3.0% localize-error [30] 3.2% ??? [76] 6.3% loop [72] 32.8% eval-prog [69] 45.0% [80] 3348(9.2%) 202(0.6%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [82] 45.0% ??? [4] 35.8% parse-loop12 [15] 6.3% f6 [14] 3.2% ??? [8] 1.7% ??? [7] 1.7% simplify [6] 1.7% ---------------------------------------------------------------------- ??? [78] 100.0% [81] 3084(8.5%) 178(0.5%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [84] 57.6% ...ow-val-first.rkt:357:18 [85] 36.6% ---------------------------------------------------------------------- hash-ref! [80] 100.0% [82] 2606(7.1%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [86] 58.5% sig+exp->bigfloat [87] 41.5% ---------------------------------------------------------------------- ??? [78] 100.0% [83] 2576(7.1%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 92.2% ??? [91] 7.8% ---------------------------------------------------------------------- bffma [81] 41.5% ??? [78] 58.5% [84] 4276(11.7%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [88] 100.0% ---------------------------------------------------------------------- bffma [81] 46.5% ??? [78] 53.5% [85] 2432(6.7%) 236(0.6%) ...ow-val-first.rkt:357:18 (unknown source) ??? [89] 90.3% ---------------------------------------------------------------------- bigfloat-hash [82] 100.0% [86] 1524(4.2%) 1524(4.2%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [82] 100.0% [87] 1082(3.0%) 1082(3.0%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 ---------------------------------------------------------------------- bf* [84] 34.2% ??? [78] 65.8% [88] 12502(34.3%) 686(1.9%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [90] 60.7% bfsqrt [92] 21.5% ??? [93] 12.3% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [85] 48.0% ...higher-order.rkt:373:33 [83] 52.0% [89] 4572(12.5%) 214(0.6%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [91] 95.3% ---------------------------------------------------------------------- ??? [88] 100.0% [90] 7588(20.8%) 5748(15.8%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 24.2% ---------------------------------------------------------------------- ...higher-order.rkt:373:33 [83] 2.9% ??? [74] 33.6% ??? [89] 63.5% [91] 6868(18.8%) 214(0.6%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 96.9% ---------------------------------------------------------------------- ??? [88] 100.0% [92] 2694(7.4%) 2302(6.3%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [94] 14.6% ---------------------------------------------------------------------- ->flonum [75] 6.0% ??? [88] 17.6% ??? [91] 76.4% [93] 8710(23.9%) 5114(14.0%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 39.1% ??? [96] 2.2% ---------------------------------------------------------------------- real->bigfloat [79] 12.9% bfsqrt [92] 15.3% bfmul [90] 71.8% [94] 2562(7.0%) 2562(7.0%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [93] 100.0% [95] 3408(9.3%) 2592(7.1%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 23.9% ---------------------------------------------------------------------- ??? [93] 100.0% [96] 188(0.5%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ??? [98] 100.0% ---------------------------------------------------------------------- ??? [95] 100.0% [97] 816(2.2%) 816(2.2%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------- ??? [96] 100.0% [98] 188(0.5%) 188(0.5%) ??? ...lects/racket/contract/private/orc.rkt:73:14 ----------------------------------------------------------------------