Profiling results ----------------- Total cpu time observed: 21460ms (out of 21912ms) Number of samples taken: 85 (once every 252ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 98 hidden) ====================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ====================================================================== ??? [48] 100.0% [1] 20816(97.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% ---------------------------------------------------------------------- ??? [48] 100.0% [2] 4472(20.8%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [13] 63.8% loop [12] 31.7% get-final-combination [16] 4.5% ---------------------------------------------------------------------- loop [55] 11.3% ??? [48] 88.7% [3] 1790(8.3%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 iterate-egraph!5 [24] 64.0% simplify-expr [14] 24.7% for-loop [17] 11.3% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [4] 1348(6.3%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [55] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [5] 422(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [6] 202(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [20] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [7] 202(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:483:23 for-loop [19] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [8] 202(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [18] 100.0% ---------------------------------------------------------------------- loop [55] 100.0% [9] 200(0.9%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 hash-ref! [74] 100.0% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [10] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [21] 100.0% ---------------------------------------------------------------------- profile-thunk14 [1] 100.0% [11] 20816(97.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [48] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 7.7% ??? [48] 92.3% [12] 18404(85.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [22] 44.1% make-exacts* [30] 38.4% loop [31] 16.2% for-loop [26] 1.3% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [13] 2854(13.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [23] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [14] 442(2.1%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [24] 100.0% ---------------------------------------------------------------------- ??? [5] 100.0% [15] 422(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [74] 100.0% ---------------------------------------------------------------------- run-improve58 [2] 100.0% [16] 202(0.9%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [27] 100.0% ---------------------------------------------------------------------- simplify [3] 100.0% [17] 202(0.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [24] 100.0% ---------------------------------------------------------------------- ??? [8] 100.0% [18] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [28] 100.0% ---------------------------------------------------------------------- ??? [7] 100.0% [19] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:487:35 parse-loop12 [49] 100.0% ---------------------------------------------------------------------- ??? [6] 100.0% [20] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 simplify [25] 100.0% ---------------------------------------------------------------------- ??? [10] 100.0% [21] 200(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [29] 100.0% ---------------------------------------------------------------------- loop [12] 100.0% [22] 8110(37.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [31] 43.4% make-exacts* [30] 37.5% eval-prog [41] 19.2% ---------------------------------------------------------------------- for-loop [13] 100.0% [23] 2854(13.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [32] 55.6% gen-series! [34] 21.8% finalize-iter! [35] 15.6% localize-error [39] 7.0% ---------------------------------------------------------------------- for-loop [17] 11.3% simplify-expr [14] 24.7% simplify [3] 64.0% [24] 1790(8.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [33] 86.6% map-enodes [38] 13.4% ---------------------------------------------------------------------- for-loop [20] 32.5% hash-ref! [74] 67.5% [25] 622(2.9%) 202(0.9%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f6 [36] 35.4% parse-loop12 [49] 32.2% ---------------------------------------------------------------------- loop [12] 100.0% [26] 248(1.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [37] 100.0% ---------------------------------------------------------------------- get-final-combination [16] 100.0% [27] 202(0.9%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [55] 100.0% ---------------------------------------------------------------------- for-loop [18] 100.0% [28] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [74] 100.0% ---------------------------------------------------------------------- for-loop [21] 100.0% [29] 200(0.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [74] 100.0% ---------------------------------------------------------------------- loop [22] 30.1% loop [12] 69.9% [30] 10108(47.1%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [40] 50.2% loop [55] 42.9% eval-prog [41] 6.9% ---------------------------------------------------------------------- loop [12] 45.9% loop [22] 54.1% [31] 6494(30.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [40] 100.0% ---------------------------------------------------------------------- run-iter! [23] 100.0% [32] 1588(7.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [42] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [33] 1550(7.2%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [43] 84.4% loop [47] 15.6% ---------------------------------------------------------------------- run-iter! [23] 100.0% [34] 622(2.9%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [44] 100.0% ---------------------------------------------------------------------- run-iter! [23] 100.0% [35] 444(2.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [45] 100.0% ---------------------------------------------------------------------- loop [55] 26.2% simplify [25] 26.2% hash-ref! [74] 47.6% [36] 420(2.0%) 0(0.0%) f6 ...et/collects/racket/match/compiler.rkt:499:40 map [40] 100.0% ---------------------------------------------------------------------- for-loop [26] 100.0% [37] 248(1.2%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 sample-double [46] 100.0% ---------------------------------------------------------------------- iterate-egraph!5 [24] 100.0% [38] 240(1.1%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [55] 100.0% ---------------------------------------------------------------------- run-iter! [23] 100.0% [39] 200(0.9%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [74] 100.0% ---------------------------------------------------------------------- f6 [36] 3.5% make-exacts* [30] 42.3% loop [31] 54.2% [40] 11984(55.8%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [55] 96.5% parse-loop12 [49] 1.8% ??? [73] 1.7% ---------------------------------------------------------------------- make-exacts* [30] 31.1% loop [22] 68.9% [41] 2256(10.5%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [74] 100.0% ---------------------------------------------------------------------- simplify! [32] 100.0% [42] 1588(7.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [48] 100.0% ---------------------------------------------------------------------- for-loop [43] 50.0% one-iter [33] 50.0% [43] 1308(6.1%) 826(3.8%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [43] 50.0% match-e [51] 18.4% ---------------------------------------------------------------------- gen-series! [34] 100.0% [44] 622(2.9%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [50] 100.0% ---------------------------------------------------------------------- finalize-iter! [35] 100.0% [45] 444(2.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [52] 100.0% ---------------------------------------------------------------------- for-loop [37] 100.0% [46] 248(1.2%) 0(0.0%) sample-double .../src/syntax/distributions.rkt:8:0 random-exp [53] 100.0% ---------------------------------------------------------------------- one-iter [33] 100.0% [47] 242(1.1%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [54] 100.0% ---------------------------------------------------------------------- for-loop [42] 2.5% run [11] 47.3% [48] 21460(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 47.3% loop [12] 41.1% run-improve58 [2] 9.2% simplify [3] 2.5% ---------------------------------------------------------------------- parse-loop12 [49] 8.9% map [40] 17.8% hash-ref! [74] 24.3% simplify [25] 24.3% for-loop [19] 24.6% [49] 822(3.8%) 420(2.0%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [55] 33.3% for-loop [60] 24.6% parse-loop12 [49] 8.9% ---------------------------------------------------------------------- for-loop [44] 100.0% [50] 622(2.9%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [56] 100.0% ---------------------------------------------------------------------- for-loop [43] 100.0% [51] 482(2.2%) 240(1.1%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [58] 50.2% ---------------------------------------------------------------------- ??? [45] 100.0% [52] 444(2.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [57] 100.0% ---------------------------------------------------------------------- sample-double [46] 100.0% [53] 248(1.2%) 248(1.2%) random-exp ...ztatlock/herbie/src/common.rkt:153:0 ---------------------------------------------------------------------- loop [47] 100.0% [54] 242(1.1%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 reduce-to-single! [59] 100.0% ---------------------------------------------------------------------- make-exacts* [30] 0.1% extract-alt [27] 0.6% map-enodes [38] 0.7% parse-loop12 [49] 0.8% map [40] 2.8% ??? [4] 7.5% loop [55] 87.6% [55] 17910(83.5%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [55] 87.6% hash-ref! [74] 7.5% ??? [73] 2.6% for-loop [65] 0.7% f6 [36] 0.6% simplify [3] 0.6% ??? [9] 0.2% ??? [90] 0.2% ->flonum [62] 0.0% ---------------------------------------------------------------------- taylor-alt [50] 100.0% [56] 622(2.9%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [61] 100.0% ---------------------------------------------------------------------- for-loop [52] 100.0% [57] 444(2.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [63] 100.0% ---------------------------------------------------------------------- match-e [51] 100.0% [58] 242(1.1%) 242(1.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 ---------------------------------------------------------------------- apply-match [54] 100.0% [59] 242(1.1%) 0(0.0%) reduce-to-single! ...bie/src/core/egraph.rkt:324:0 make-sequence [64] 100.0% ---------------------------------------------------------------------- parse-loop12 [49] 100.0% [60] 202(0.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:490:59 hash-ref! [74] 100.0% ---------------------------------------------------------------------- location-do [61] 45.2% for-loop [56] 54.8% [61] 622(2.9%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [66] 54.8% location-do [61] 45.2% ---------------------------------------------------------------------- loop [55] 100.0% [62] 452(2.1%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [94] 57.5% ??? [69] 42.5% ---------------------------------------------------------------------- atab-add-altn [57] 100.0% [63] 444(2.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [67] 100.0% ---------------------------------------------------------------------- reduce-to-single! [59] 100.0% [64] 242(1.1%) 242(1.1%) make-sequence ...ects/racket/private/for.rkt:508:2 ---------------------------------------------------------------------- loop [55] 100.0% [65] 240(1.1%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 eval-const-expr [68] 100.0% ---------------------------------------------------------------------- location-do [61] 100.0% [66] 622(2.9%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [70] 100.0% ---------------------------------------------------------------------- best-and-tied-at-points [63] 100.0% [67] 444(2.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [71] 100.0% ---------------------------------------------------------------------- for-loop [65] 100.0% [68] 240(1.1%) 0(0.0%) eval-const-expr ...k/herbie/src/programs.rkt:180:0 expression-induct31 [72] 100.0% ---------------------------------------------------------------------- ->flonum [62] 100.0% [69] 192(0.9%) 192(0.9%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ---------------------------------------------------------------------- approximate9 [66] 100.0% [70] 622(2.9%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [74] 100.0% ---------------------------------------------------------------------- errors [67] 100.0% [71] 444(2.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [73] 100.0% ---------------------------------------------------------------------- eval-const-expr [68] 100.0% [72] 240(1.1%) 0(0.0%) expression-induct31 ...erbie/src/programs.rkt:55:0 inductor [75] 100.0% ---------------------------------------------------------------------- map [40] 1.3% for-loop [71] 2.8% loop [55] 95.9% [73] 15892(74.1%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [76] 82.6% real->bigfloat [78] 11.3% ??? [93] 6.1% ---------------------------------------------------------------------- for-loop [60] 1.1% for-loop [28] 1.1% ??? [29] 1.6% ??? [9] 3.2% localize-error [39] 3.2% for-loop [15] 4.6% ??? [79] 5.1% loop [70] 5.1% loop [55] 28.1% eval-prog [41] 45.2% [74] 3078(14.3%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 bigfloat-hash [77] 45.2% ??? [4] 28.1% ??? [79] 5.1% ??? [5] 4.6% simplify [25] 4.0% parse-loop12 [49] 3.2% f6 [36] 3.2% ??? [10] 1.6% ??? [8] 1.1% ??? [7] 1.1% ??? [6] 1.1% ---------------------------------------------------------------------- inductor [75] 50.0% expression-induct31 [72] 50.0% [75] 240(1.1%) 0(0.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 inductor [75] 50.0% loop [80] 50.0% ---------------------------------------------------------------------- ??? [73] 100.0% [76] 13120(61.1%) 0(0.0%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bf* [87] 42.9% ??? [90] 33.2% ...higher-order.rkt:373:33 [81] 10.6% bfcube [84] 6.6% ??? [85] 3.4% ...higher-order.rkt:369:33 [86] 3.3% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [77] 2256(10.5%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 bfcanonicalize [82] 58.4% sig+exp->bigfloat [83] 41.6% ---------------------------------------------------------------------- ??? [73] 100.0% [78] 1800(8.4%) 1330(6.2%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [95] 26.1% ---------------------------------------------------------------------- hash-ref! [74] 100.0% [79] 622(2.9%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [74] 100.0% ---------------------------------------------------------------------- inductor [75] 100.0% [80] 240(1.1%) 0(0.0%) loop ...h-lib/math/private/bigfloat/mpfr.rkt:435:9 integer->mpz [88] 100.0% ---------------------------------------------------------------------- ??? [76] 100.0% [81] 1390(6.5%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [91] 100.0% ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [82] 1318(6.1%) 1318(6.1%) bfcanonicalize .../private/bigfloat/mpfr.rkt:155:0 ---------------------------------------------------------------------- bigfloat-hash [77] 100.0% [83] 938(4.4%) 722(3.4%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 integer->mpz [88] 23.0% ---------------------------------------------------------------------- ??? [76] 100.0% [84] 872(4.1%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [87] 74.8% ...ow-val-first.rkt:357:18 [89] 25.2% ---------------------------------------------------------------------- ??? [76] 100.0% [85] 444(2.1%) 444(2.1%) ??? /home/ztatlock/herbie/src/config.rkt:29:0 ---------------------------------------------------------------------- ??? [76] 100.0% [86] 436(2.0%) 0(0.0%) ...higher-order.rkt:369:33 (unknown source) ??? [91] 54.1% ??? [93] 45.9% ---------------------------------------------------------------------- bfcube [84] 10.4% ??? [76] 89.6% [87] 6278(29.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [90] 100.0% ---------------------------------------------------------------------- sig+exp->bigfloat [83] 47.4% loop [80] 52.6% [88] 456(2.1%) 456(2.1%) integer->mpz ...math/private/bigfloat/gmp.rkt:87:0 ---------------------------------------------------------------------- bfcube [84] 100.0% [89] 220(1.0%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [91] 100.0% ---------------------------------------------------------------------- loop [55] 1.8% ??? [76] 40.2% bf* [87] 58.0% [90] 10830(50.5%) 1786(8.3%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [92] 77.4% ??? [94] 6.1% ---------------------------------------------------------------------- ...ow-val-first.rkt:357:18 [89] 11.9% ...higher-order.rkt:369:33 [86] 12.8% ...higher-order.rkt:373:33 [81] 75.3% [91] 1846(8.6%) 220(1.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [93] 88.1% ---------------------------------------------------------------------- ??? [90] 100.0% [92] 8380(39.0%) 7180(33.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [95] 14.3% ---------------------------------------------------------------------- ...higher-order.rkt:369:33 [86] 7.1% ??? [73] 34.7% ??? [91] 58.1% [93] 2798(13.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [94] 100.0% ---------------------------------------------------------------------- ->flonum [62] 7.0% ??? [90] 17.8% ??? [93] 75.2% [94] 3722(17.3%) 1274(5.9%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [96] 65.8% ---------------------------------------------------------------------- real->bigfloat [78] 28.1% bfmul [92] 71.9% [95] 1670(7.8%) 1670(7.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ---------------------------------------------------------------------- ??? [94] 100.0% [96] 2448(11.4%) 1456(6.8%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [97] 40.5% ---------------------------------------------------------------------- ??? [96] 100.0% [97] 992(4.6%) 992(4.6%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ----------------------------------------------------------------------