Profiling results ----------------- Total cpu time observed: 20164ms (out of 20428ms) Number of samples taken: 92 (once every 219ms) (Hiding functions with self<1.0% and local<2.0%: 1 of 101 hidden) ======================================================================= Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================= ??? [39] 100.0% [1] 19758(98.0%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% ----------------------------------------------------------------------- ??? [39] 100.0% [2] 9530(47.3%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [12] 95.4% loop [44] 2.5% get-final-combination [21] 2.0% ----------------------------------------------------------------------- loop [84] 3.0% ??? [39] 97.0% [3] 6414(31.8%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [13] 61.9% iterate-egraph!5 [23] 19.4% for-loop [17] 18.7% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [4] 1856(9.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 ??? [24] 65.4% hash-ref! [69] 34.6% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [5] 1856(9.2%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:285:26 for-loop [14] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [6] 1214(6.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [15] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [7] 1214(6.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [16] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [8] 412(2.0%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [18] 100.0% ----------------------------------------------------------------------- f16 [75] 100.0% [9] 404(2.0%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 first-nonzero-exp [19] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [10] 222(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:338:33 for-loop [20] 100.0% ----------------------------------------------------------------------- profile-thunk14 [1] 100.0% [11] 19758(98.0%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [39] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 9096(45.1%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [22] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [13] 3972(19.7%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [23] 95.0% loop [26] 5.0% ----------------------------------------------------------------------- ??? [5] 100.0% [14] 1856(9.2%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:285:52 hash-ref! [69] 64.3% ??? [24] 35.7% ----------------------------------------------------------------------- ??? [6] 100.0% [15] 1214(6.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [69] 100.0% ----------------------------------------------------------------------- ??? [7] 100.0% [16] 1214(6.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [69] 100.0% ----------------------------------------------------------------------- simplify [3] 100.0% [17] 1198(5.9%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [23] 100.0% ----------------------------------------------------------------------- ??? [8] 100.0% [18] 412(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [25] 100.0% ----------------------------------------------------------------------- taylor-invert [9] 100.0% [19] 404(2.0%) 0(0.0%) first-nonzero-exp ...bie/src/core/taylor.rkt:260:0 hash-ref! [69] 100.0% ----------------------------------------------------------------------- ??? [10] 100.0% [20] 222(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:341:46 hash-ref! [69] 100.0% ----------------------------------------------------------------------- run-improve58 [2] 100.0% [21] 194(1.0%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [27] 100.0% ----------------------------------------------------------------------- for-loop [12] 100.0% [22] 9096(45.1%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [28] 68.4% gen-series! [30] 24.8% finalize-iter! [31] 6.8% ----------------------------------------------------------------------- for-loop [17] 19.3% simplify [3] 20.0% simplify-expr [13] 60.7% [23] 6214(30.8%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [29] 100.0% ----------------------------------------------------------------------- for-loop [14] 46.1% ??? [4] 53.9% [24] 1436(7.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:288:19 hash-ref! [69] 100.0% ----------------------------------------------------------------------- for-loop [18] 100.0% [25] 412(2.0%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [69] 100.0% ----------------------------------------------------------------------- simplify-expr [13] 100.0% [26] 200(1.0%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [32] 100.0% ----------------------------------------------------------------------- get-final-combination [21] 100.0% [27] 194(1.0%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [84] 100.0% ----------------------------------------------------------------------- run-iter! [22] 100.0% [28] 6220(30.8%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [33] 100.0% ----------------------------------------------------------------------- iterate-egraph!5 [23] 100.0% [29] 6214(30.8%) 212(1.1%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [34] 77.3% loop [36] 16.0% apply-match [41] 3.3% ----------------------------------------------------------------------- run-iter! [22] 100.0% [30] 2260(11.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [35] 100.0% ----------------------------------------------------------------------- run-iter! [22] 100.0% [31] 616(3.1%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [37] 100.0% ----------------------------------------------------------------------- loop [26] 100.0% [32] 200(1.0%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [38] 100.0% ----------------------------------------------------------------------- simplify! [28] 100.0% [33] 6220(30.8%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [39] 100.0% ----------------------------------------------------------------------- for-loop [34] 43.8% one-iter [29] 56.2% [34] 4804(23.8%) 1260(6.2%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [34] 43.8% match-e [45] 36.9% ----------------------------------------------------------------------- gen-series! [30] 100.0% [35] 2260(11.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [40] 100.0% ----------------------------------------------------------------------- one-iter [29] 100.0% [36] 996(4.9%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [41] 100.0% ----------------------------------------------------------------------- finalize-iter! [31] 100.0% [37] 616(3.1%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [42] 100.0% ----------------------------------------------------------------------- pass [32] 100.0% [38] 200(1.0%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [43] 100.0% ----------------------------------------------------------------------- for-loop [33] 10.6% run [11] 44.5% [39] 19952(98.9%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 44.5% loop [44] 26.1% run-improve58 [2] 18.8% simplify [3] 10.6% ----------------------------------------------------------------------- for-loop [35] 100.0% [40] 2260(11.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [46] 100.0% ----------------------------------------------------------------------- one-iter [29] 16.9% loop [36] 83.1% [41] 1198(5.9%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [48] 48.2% mk-enode! [49] 18.0% loop! [50] 17.0% match-e [45] 16.7% ----------------------------------------------------------------------- ??? [37] 100.0% [42] 616(3.1%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [47] 100.0% ----------------------------------------------------------------------- for-loop [38] 100.0% [43] 200(1.0%) 200(1.0%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ----------------------------------------------------------------------- run-improve58 [2] 2.3% ??? [39] 97.7% [44] 10662(52.9%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [51] 43.7% make-exacts* [58] 41.0% loop [59] 15.3% ----------------------------------------------------------------------- apply-match [41] 2.7% for-loop [56] 5.4% for-loop [34] 92.0% [45] 3744(18.6%) 2358(11.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [53] 28.5% list-cartesian-product [63] 5.8% for-loop [56] 5.4% ----------------------------------------------------------------------- taylor-alt [40] 100.0% [46] 2260(11.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [52] 100.0% ----------------------------------------------------------------------- for-loop [42] 100.0% [47] 616(3.1%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [54] 100.0% ----------------------------------------------------------------------- apply-match [41] 100.0% [48] 578(2.9%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [55] 100.0% ----------------------------------------------------------------------- apply-match [41] 100.0% [49] 216(1.1%) 216(1.1%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ----------------------------------------------------------------------- loop [84] 50.0% apply-match [41] 50.0% [50] 204(1.0%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 loop [84] 50.0% update-en-expr [57] 50.0% ----------------------------------------------------------------------- loop [44] 100.0% [51] 4656(23.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 make-exacts* [58] 56.4% loop [59] 43.6% ----------------------------------------------------------------------- location-do [52] 25.5% for-loop [46] 74.5% [52] 2260(11.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [60] 74.5% location-do [52] 25.5% ----------------------------------------------------------------------- match-e [45] 100.0% [53] 1168(5.8%) 986(4.9%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 list-cartesian-product [63] 15.6% ----------------------------------------------------------------------- atab-add-altn [47] 100.0% [54] 616(3.1%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [61] 100.0% ----------------------------------------------------------------------- merge-egraph-nodes! [48] 100.0% [55] 578(2.9%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [62] 100.0% ----------------------------------------------------------------------- match-e [45] 100.0% [56] 402(2.0%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [45] 100.0% ----------------------------------------------------------------------- loop! [50] 100.0% [57] 204(1.0%) 204(1.0%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ----------------------------------------------------------------------- loop [51] 37.5% loop [44] 62.5% [58] 6994(34.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 loop [84] 58.2% map [78] 41.8% ----------------------------------------------------------------------- loop [44] 44.6% loop [51] 55.4% [59] 3668(18.2%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [78] 100.0% ----------------------------------------------------------------------- location-do [52] 100.0% [60] 2260(11.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [64] 100.0% ----------------------------------------------------------------------- best-and-tied-at-points [54] 100.0% [61] 616(3.1%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [66] 68.5% eval-prog [67] 31.5% ----------------------------------------------------------------------- update-leader! [55] 100.0% [62] 578(2.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [65] 100.0% ----------------------------------------------------------------------- for-loop [53] 45.5% match-e [45] 54.5% [63] 400(2.0%) 218(1.1%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [68] 45.5% ----------------------------------------------------------------------- approximate9 [60] 100.0% [64] 2260(11.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [69] 100.0% ----------------------------------------------------------------------- for-loop [62] 100.0% [65] 578(2.9%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [70] 100.0% ----------------------------------------------------------------------- errors [61] 100.0% [66] 422(2.1%) 0(0.0%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [87] 100.0% ----------------------------------------------------------------------- errors [61] 100.0% [67] 194(1.0%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 inductor [71] 100.0% ----------------------------------------------------------------------- list-cartesian-product [63] 100.0% [68] 182(0.9%) 182(0.9%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ----------------------------------------------------------------------- for-loop [20] 1.6% for-loop [25] 1.9% first-nonzero-exp [19] 4.5% ??? [4] 5.0% for-loop [16] 6.9% for-loop [14] 10.3% ??? [24] 13.7% loop [64] 16.4% for-loop [15] 18.0% ??? [73] 19.9% [69] 2260(11.2%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [73] 19.9% ??? [6] 18.0% ??? [5] 17.1% simplify [72] 16.4% ??? [4] 11.9% ??? [7] 6.9% f16 [75] 4.5% ??? [8] 1.9% ??? [10] 1.6% ----------------------------------------------------------------------- for-loop [65] 100.0% [70] 578(2.9%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [74] 100.0% ----------------------------------------------------------------------- eval-prog [67] 100.0% [71] 194(1.0%) 194(1.0%) inductor .../ztatlock/herbie/src/programs.rkt:73:2 ----------------------------------------------------------------------- hash-ref! [69] 100.0% [72] 2260(11.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f16 [75] 55.1% debug-print [76] 27.2% parse-loop50 [81] 17.7% ----------------------------------------------------------------------- hash-ref! [69] 100.0% [73] 1256(6.2%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [69] 100.0% ----------------------------------------------------------------------- hash-update! [70] 100.0% [74] 578(2.9%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [77] 100.0% ----------------------------------------------------------------------- hash-ref! [69] 2.5% composed [80] 2.7% parse-loop50 [81] 2.7% f16 [75] 9.9% loop [84] 18.2% map [78] 25.3% simplify [72] 38.7% [75] 1648(8.2%) 622(3.1%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [78] 64.0% f16 [75] 9.9% composed [80] 2.7% taylor-invert [9] 2.5% ----------------------------------------------------------------------- simplify [72] 100.0% [76] 614(3.0%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [79] 100.0% ----------------------------------------------------------------------- ??? [74] 100.0% [77] 578(2.9%) 578(2.9%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 ----------------------------------------------------------------------- parse-loop50 [81] 1.3% f16 [75] 16.7% make-exacts* [58] 36.4% loop [59] 45.6% [78] 8042(39.9%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [84] 80.1% f16 [75] 8.3% parse-loop50 [81] 7.1% ??? [87] 3.2% make-multiplication-node [82] 0.9% ??? [83] 0.4% ----------------------------------------------------------------------- debug-print [76] 100.0% [79] 614(3.0%) 614(3.0%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 ----------------------------------------------------------------------- f16 [75] 100.0% [80] 222(1.1%) 0(0.0%) composed ...ollects/racket/private/list.rkt:321:16 f16 [75] 100.0% ----------------------------------------------------------------------- loop [84] 5.5% simplify [72] 24.5% parse-loop50 [81] 25.9% map [78] 44.1% [81] 1224(6.1%) 602(3.0%) parse-loop50 ...s/racket/match/compiler.rkt:410:15 parse-loop50 [81] 25.9% loop [84] 24.5% f16 [75] 18.1% map [78] 5.5% ----------------------------------------------------------------------- map [78] 100.0% [82] 220(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [85]100.0% ----------------------------------------------------------------------- map [78] 100.0% [83] 202(1.0%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/reduce.rkt:52:5 for-loop [86] 100.0% ----------------------------------------------------------------------- make-exacts* [58] 0.4% extract-alt [27] 0.4% parse-loop50 [81] 1.8% loop! [50] 1.8% map [78] 2.7% loop [84] 92.9% [84] 11406(56.6%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [84] 92.9% loop! [50] 1.8% parse-loop50 [81] 1.8% f16 [75] 1.8% ??? [87] 1.3% simplify [3] 0.4% ----------------------------------------------------------------------- make-multiplication-node [82] 100.0% [85] 220(1.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [88] 100.0% ----------------------------------------------------------------------- ??? [83] 100.0% [86] 202(1.0%) 0(0.0%) for-loop ...atlock/herbie/src/core/reduce.rkt:53:7 pattern-match [89] 100.0% ----------------------------------------------------------------------- map [78] 2.3% for-loop [66] 3.8% loop [84] 93.9% [87] 11084(55.0%) 874(4.3%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [90] 58.1% real->bigfloat [91] 30.5% ??? [92] 3.5% ----------------------------------------------------------------------- make-multiplication-subnode [85]100.0% [88] 220(1.1%) 220(1.1%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 ----------------------------------------------------------------------- for-loop [86] 100.0% [89] 202(1.0%) 202(1.0%) pattern-match .../herbie/src/core/matcher.rkt:47:0 ----------------------------------------------------------------------- ??? [87] 100.0% [90] 6438(31.9%) 422(2.1%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [94] 76.1% bf* [93] 17.3% ----------------------------------------------------------------------- ??? [87] 100.0% [91] 3386(16.8%) 2926(14.5%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [98] 13.6% ----------------------------------------------------------------------- ??? [87] 100.0% [92] 386(1.9%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [96] 100.0% ----------------------------------------------------------------------- ??? [90] 100.0% [93] 1114(5.5%) 0(0.0%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [94] 100.0% ----------------------------------------------------------------------- bf* [93] 18.5% ??? [90] 81.5% [94] 6016(29.8%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [95] 57.2% bfneg [97] 22.5% ??? [96] 20.3% ----------------------------------------------------------------------- ??? [94] 100.0% [95] 3442(17.1%) 2750(13.6%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [98] 20.1% ----------------------------------------------------------------------- ??? [92] 24.0% ??? [94] 76.0% [96] 1606(8.0%) 572(2.8%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [99] 64.4% ----------------------------------------------------------------------- ??? [94] 100.0% [97] 1354(6.7%) 1354(6.7%) bfneg ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ----------------------------------------------------------------------- real->bigfloat [91] 39.9% bfmul [95] 60.1% [98] 1152(5.7%) 1152(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ----------------------------------------------------------------------- ??? [96] 100.0% [99] 1034(5.1%) 658(3.3%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [100] 36.4% ----------------------------------------------------------------------- ??? [99] 100.0% [100] 376(1.9%) 376(1.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 -----------------------------------------------------------------------