Profiling results ----------------- Total cpu time observed: 11638ms (out of 12020ms) Number of samples taken: 49 (once every 238ms) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [36] 100.0% [1] 11198(96.2%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% ----------------------------------------------------------------------- ??? [36] 100.0% [2] 5142(44.2%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 100.0% ----------------------------------------------------------------------- ??? [36] 100.0% [3] 3416(29.4%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 44.1% for-loop [11] 43.6% iterate-egraph!5 [18] 12.3% ----------------------------------------------------------------------- location-do [53] 100.0% [4] 1084(9.3%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [12] 57.0% f94 [39] 22.5% taylor-sqrt [13] 20.5% ----------------------------------------------------------------------- hash-ref! [24] 100.0% [5] 416(3.6%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [24] 100.0% [6] 218(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [15] 100.0% ----------------------------------------------------------------------- hash-ref! [24] 100.0% [7] 218(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [16] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 98.1% [8] 11418(98.1%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [36] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 5142(44.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [17] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [10] 1506(12.9%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [18] 83.9% loop [19] 16.1% ----------------------------------------------------------------------- simplify [3] 100.0% [11] 1490(12.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [18] 100.0% ----------------------------------------------------------------------- approximate9 [4] 100.0% [12] 618(5.3%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [24] 100.0% ----------------------------------------------------------------------- approximate9 [4] 47.6% map [72] 52.4% [13] 466(4.0%) 0(0.0%) taylor-sqrt ...ck/herbie/src/core/taylor.rkt:346:0 hash-ref! [24] 52.4% simplify [31] 47.6% ----------------------------------------------------------------------- ??? [5] 100.0% [14] 416(3.6%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [24] 100.0% ----------------------------------------------------------------------- ??? [6] 100.0% [15] 218(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 ??? [20] 50.0% hash-ref! [24] 50.0% ----------------------------------------------------------------------- ??? [7] 100.0% [16] 218(1.9%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [24] 100.0% ----------------------------------------------------------------------- for-loop [9] 100.0% [17] 5142(44.2%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 66.4% gen-series! [23] 21.1% finalize-iter! [25] 12.5% ----------------------------------------------------------------------- simplify [3] 13.2% simplify-expr [10] 39.8% for-loop [11] 46.9% [18] 3174(27.3%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [22] 100.0% ----------------------------------------------------------------------- simplify-expr [10] 100.0% [19] 242(2.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [26] 100.0% ----------------------------------------------------------------------- for-loop [15] 100.0% [20] 218(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [24] 100.0% ----------------------------------------------------------------------- run-iter! [17] 100.0% [21] 3416(29.4%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [27] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [18] 100.0% [22] 3174(27.3%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [28] 46.9% loop [29] 46.8% apply-match [37] 6.3% ----------------------------------------------------------------------- run-iter! [17] 100.0% [23] 1084(9.3%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [30] 100.0% ----------------------------------------------------------------------- for-loop [16] 2.8% for-loop [15] 2.8% ??? [20] 2.8% first-nonzero-exp [61] 2.8% ??? [35] 7.7% ??? [33] 14.5% for-loop [14] 16.1% loop [12] 22.2% taylor-sqrt [13] 28.3% [24] 862(7.4%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 simplify [31] 38.8% ??? [5] 16.1% ??? [33] 14.5% f94 [39] 14.5% ??? [35] 7.7% ??? [6] 5.6% ??? [7] 2.8% ----------------------------------------------------------------------- run-iter! [17] 100.0% [25] 642(5.5%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [32] 100.0% ----------------------------------------------------------------------- loop [19] 100.0% [26] 242(2.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [34] 100.0% ----------------------------------------------------------------------- simplify! [21] 100.0% [27] 3416(29.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [36] 100.0% ----------------------------------------------------------------------- for-loop [28] 50.0% one-iter [22] 50.0% [28] 1490(12.8%) 202(1.7%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [28] 50.0% match-e [44] 43.2% ----------------------------------------------------------------------- one-iter [22] 100.0% [29] 1484(12.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [37] 100.0% ----------------------------------------------------------------------- gen-series! [23] 100.0% [30] 1084(9.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [38] 100.0% ----------------------------------------------------------------------- taylor-sqrt [13] 25.2% hash-ref! [24] 74.8% [31] 882(7.6%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 parse-loop50 [41] 47.2% debug-print [57] 27.7% f94 [39] 25.2% ----------------------------------------------------------------------- finalize-iter! [25] 100.0% [32] 642(5.5%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [40] 100.0% ----------------------------------------------------------------------- hash-ref! [24] 100.0% [33] 420(3.6%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [24] 100.0% ----------------------------------------------------------------------- pass [26] 100.0% [34] 242(2.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [42] 100.0% ----------------------------------------------------------------------- hash-ref! [24] 100.0% [35] 198(1.7%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [24] 100.0% ----------------------------------------------------------------------- for-loop [27] 10.1% run [8] 45.4% [36] 11638(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 43.5% loop [43] 28.9% run-improve58 [2] 17.5% simplify [3] 10.1% ----------------------------------------------------------------------- one-iter [22] 11.9% loop [29] 88.1% [37] 1684(14.5%) 200(1.7%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [46] 39.3% for-loop [49] 13.1% substitute-e [58] 12.0% match-e [44] 11.9% update-leader! [54] 11.9% ----------------------------------------------------------------------- for-loop [30] 100.0% [38] 1084(9.3%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [45] 100.0% ----------------------------------------------------------------------- simplify [31] 8.4% map [72] 16.7% approximate9 [4] 27.5% hash-ref! [24] 47.4% [39] 886(7.6%) 0(0.0%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [72] 44.2% taylor-quotient [50] 24.6% taylor [51] 22.8% gather-multiplicative-terms [48] 8.4% ----------------------------------------------------------------------- ??? [32] 100.0% [40] 642(5.5%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [47] 100.0% ----------------------------------------------------------------------- simplify [31] 100.0% [41] 416(3.6%) 416(3.6%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 ----------------------------------------------------------------------- for-loop [34] 100.0% [42] 242(2.1%) 242(2.1%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- ??? [36] 100.0% [43] 6496(55.8%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [63] 54.9% loop [52] 41.7% for-loop [60] 3.4% ----------------------------------------------------------------------- apply-match [37] 6.7% for-loop [66] 13.5% for-loop [28] 79.8% [44] 1488(12.8%) 1024(8.8%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [55] 29.8% list-cartesian-product [59] 14.9% ----------------------------------------------------------------------- taylor-alt [38] 100.0% [45] 1084(9.3%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [53] 100.0% ----------------------------------------------------------------------- apply-match [37] 100.0% [46] 662(5.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [54] 69.8% loop! [62] 30.2% ----------------------------------------------------------------------- for-loop [40] 100.0% [47] 642(5.5%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [56] 100.0% ----------------------------------------------------------------------- f94 [39] 100.0% [48] 222(1.9%) 222(1.9%) gather-multiplicative-terms ...re/reduce.rkt:107:0 ----------------------------------------------------------------------- apply-match [37] 100.0% [49] 220(1.9%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [58] 100.0% ----------------------------------------------------------------------- f94 [39] 100.0% [50] 218(1.9%) 0(0.0%) taylor-quotient ...erbie/src/core/taylor.rkt:328:0 first-nonzero-exp [61] 100.0% ----------------------------------------------------------------------- f94 [39] 100.0% [51] 202(1.7%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [57] 100.0% ----------------------------------------------------------------------- loop [43] 100.0% [52] 2712(23.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [64] 65.9% make-exacts* [63] 34.1% ----------------------------------------------------------------------- for-loop [45] 38.2% location-do [53] 61.8% [53] 1084(9.3%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [53] 61.8% approximate9 [4] 38.2% ----------------------------------------------------------------------- apply-match [37] 30.2% merge-egraph-nodes! [46] 69.8% [54] 662(5.7%) 442(3.8%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [68] 33.2% ----------------------------------------------------------------------- match-e [44] 100.0% [55] 644(5.5%) 242(2.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [66] 62.4% ----------------------------------------------------------------------- atab-add-altn [47] 100.0% [56] 642(5.5%) 202(1.7%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [65] 68.5% ----------------------------------------------------------------------- taylor [51] 45.3% simplify [31] 54.7% [57] 446(3.8%) 244(2.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [69] 45.3% ----------------------------------------------------------------------- substitute-e [58] 26.1% for-loop [49] 26.1% apply-match [37] 47.9% [58] 422(3.6%) 220(1.9%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [70] 47.9% substitute-e [58] 26.1% ----------------------------------------------------------------------- list-cartesian-product [59] 50.0% match-e [44] 50.0% [59] 222(1.9%) 222(1.9%) list-cartesian-product ...src/core/ematch.rkt:20:0 list-cartesian-product [59] 50.0% ----------------------------------------------------------------------- loop [43] 100.0% [60] 220(1.9%) 0(0.0%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 for-loop [67] 100.0% ----------------------------------------------------------------------- taylor-quotient [50] 100.0% [61] 218(1.9%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [24] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [46] 100.0% [62] 200(1.7%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [71] 100.0% ----------------------------------------------------------------------- loop [52] 20.6% loop [43] 79.4% [63] 4488(38.6%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [77] 51.9% map [72] 48.1% ----------------------------------------------------------------------- loop [52] 100.0% [64] 1788(15.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [72] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [56] 100.0% [65] 440(3.8%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [73] 100.0% ----------------------------------------------------------------------- for-loop [55] 100.0% [66] 402(3.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [44] 100.0% ----------------------------------------------------------------------- for-loop [60] 100.0% [67] 220(1.9%) 220(1.9%) for-loop .../ztatlock/herbie/src/points.rkt:129:20 ----------------------------------------------------------------------- update-leader! [54] 100.0% [68] 220(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [74] 100.0% ----------------------------------------------------------------------- debug-print [57] 100.0% [69] 202(1.7%) 202(1.7%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- substitute-e [58] 100.0% [70] 202(1.7%) 0(0.0%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 hash-has-key? [75] 100.0% ----------------------------------------------------------------------- loop! [62] 100.0% [71] 200(1.7%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [76] 100.0% ----------------------------------------------------------------------- f94 [39] 10.6% loop [64] 40.5% make-exacts* [63] 48.9% [72] 4414(37.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [77] 89.4% taylor-sqrt [13] 5.5% f94 [39] 5.0% ----------------------------------------------------------------------- errors [65] 100.0% [73] 440(3.8%) 240(2.1%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [80] 45.5% ----------------------------------------------------------------------- for-loop [68] 100.0% [74] 220(1.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [78] 100.0% ----------------------------------------------------------------------- mk-enode! [70] 100.0% [75] 202(1.7%) 202(1.7%) hash-has-key? ...et/private/more-scheme.rkt:368:13 ----------------------------------------------------------------------- custom-set-union [71] 100.0% [76] 200(1.7%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [79] 100.0% ----------------------------------------------------------------------- make-exacts* [63] 0.2% map [72] 0.4% loop [77] 99.4% [77] 6276(53.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [77] 99.4% ??? [80] 0.5% ->flonum [81] 0.1% ----------------------------------------------------------------------- for-loop [74] 100.0% [78] 220(1.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [82] 100.0% ----------------------------------------------------------------------- for-loop [76] 100.0% [79] 200(1.7%) 200(1.7%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------- for-loop [73] 3.4% loop [77] 96.6% [80] 5968(51.3%) 262(2.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [83] 51.2% real->bigfloat [84] 35.3% ??? [91] 9.1% ----------------------------------------------------------------------- loop [77] 100.0% [81] 508(4.4%) 0(0.0%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [93] 100.0% ----------------------------------------------------------------------- hash-update! [78] 100.0% [82] 220(1.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 make-sequence [85] 100.0% ----------------------------------------------------------------------- ??? [80] 100.0% [83] 3054(26.2%) 200(1.7%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [88] 52.7% bf* [86] 24.2% ...higher-order.rkt:373:33 [87] 16.6% ----------------------------------------------------------------------- ??? [80] 100.0% [84] 2106(18.1%) 2106(18.1%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ----------------------------------------------------------------------- ??? [82] 100.0% [85] 220(1.9%) 220(1.9%) make-sequence ...ects/racket/private/for.rkt:508:2 ----------------------------------------------------------------------- ??? [83] 100.0% [86] 738(6.3%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [88] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [87] 506(4.3%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [89] 100.0% ----------------------------------------------------------------------- bf* [86] 31.4% ??? [83] 68.6% [88] 2348(20.2%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [90] 55.8% bfsqrt [92] 32.9% ??? [93] 11.3% ----------------------------------------------------------------------- ...higher-order.rkt:373:33 [87] 100.0% [89] 506(4.3%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [91] 100.0% ----------------------------------------------------------------------- ??? [88] 100.0% [90] 1310(11.3%) 1104(9.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [94] 15.7% ----------------------------------------------------------------------- ??? [89] 48.1% ??? [80] 51.9% [91] 1052(9.0%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [93] 100.0% ----------------------------------------------------------------------- ??? [88] 100.0% [92] 772(6.6%) 772(6.6%) bfsqrt ...lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- ??? [88] 14.6% ->flonum [81] 27.8% ??? [91] 57.6% [93] 1826(15.7%) 1106(9.5%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [95] 39.4% ----------------------------------------------------------------------- bfmul [90] 100.0% [94] 206(1.8%) 206(1.8%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [93] 100.0% [95] 720(6.2%) 454(3.9%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [96] 36.9% ----------------------------------------------------------------------- ??? [95] 100.0% [96] 266(2.3%) 266(2.3%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------