Profiling results ----------------- Total cpu time observed: 28760ms (out of 29220ms) Number of samples taken: 118 (once every 244ms) (Hiding functions with self<1.0% and local<2.0%: 2 of 97 hidden) ===================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ===================================================================== ??? [30] 100.0% [1] 28138(97.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [8] 100.0% --------------------------------------------------------------------- ??? [30] 100.0% [2] 7682(26.7%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [9] 91.0% loop [34] 5.8% get-final-combination [12] 3.2% --------------------------------------------------------------------- loop [60] 4.2% ??? [30] 95.8% [3] 5766(20.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [10] 73.7% iterate-egraph!5 [16] 26.3% --------------------------------------------------------------------- hash-ref! [64] 100.0% [4] 1064(3.7%) 0(0.0%) ??? /home/ztatlock/herbie/src/programs.rkt:197:5 loop [60] 100.0% --------------------------------------------------------------------- loop [5] 50.0% location-do [44] 50.0% [5] 402(1.4%) 0(0.0%) loop /home/ztatlock/herbie/src/programs.rkt:137:4 loop [5] 50.0% approximate9 [11] 50.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [6] 200(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:295:23 for-loop [14] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [7] 200(0.7%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:392:23 for-loop [13] 100.0% --------------------------------------------------------------------- profile-thunk14 [1] 100.0% [8] 28138(97.8%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [30] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [9] 6992(24.3%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [15] 100.0% --------------------------------------------------------------------- simplify [3] 100.0% [10] 4252(14.8%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [16] 100.0% --------------------------------------------------------------------- location-do [44] 35.6% loop [5] 64.4% [11] 624(2.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [17] 100.0% --------------------------------------------------------------------- run-improve58 [2] 100.0% [12] 242(0.8%) 0(0.0%) get-final-combination ...ie/src/mainloop.rkt:269:0 extract-alt [18] 100.0% --------------------------------------------------------------------- ??? [7] 100.0% [13] 200(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:396:33 for-loop [19] 100.0% --------------------------------------------------------------------- ??? [6] 100.0% [14] 200(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:298:27 hash-ref! [64] 100.0% --------------------------------------------------------------------- for-loop [9] 100.0% [15] 6992(24.3%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [21] 79.0% finalize-iter! [22] 9.2% gen-series! [23] 8.9% localize-error [24] 2.9% --------------------------------------------------------------------- simplify [3] 26.3% simplify-expr [10] 73.7% [16] 5766(20.0%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [20] 100.0% --------------------------------------------------------------------- approximate9 [11] 100.0% [17] 624(2.2%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [64] 100.0% --------------------------------------------------------------------- get-final-combination [12] 100.0% [18] 242(0.8%) 0(0.0%) extract-alt ...e/ztatlock/herbie/src/glue.rkt:57:0 loop [60] 100.0% --------------------------------------------------------------------- for-loop [13] 100.0% [19] 200(0.7%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:398:39 hash-ref! [64] 100.0% --------------------------------------------------------------------- iterate-egraph!5 [16] 100.0% [20] 5766(20.0%) 0(0.0%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [26] 62.1% loop [27] 26.8% apply-match [31] 11.1% --------------------------------------------------------------------- run-iter! [15] 100.0% [21] 5524(19.2%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [25] 100.0% --------------------------------------------------------------------- run-iter! [15] 100.0% [22] 642(2.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [28] 100.0% --------------------------------------------------------------------- run-iter! [15] 100.0% [23] 624(2.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [29] 100.0% --------------------------------------------------------------------- run-iter! [15] 100.0% [24] 202(0.7%) 0(0.0%) localize-error ...erbie/src/core/localize.rkt:47:0 hash-ref! [64] 100.0% --------------------------------------------------------------------- simplify! [21] 100.0% [25] 5524(19.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [30] 100.0% --------------------------------------------------------------------- for-loop [26] 50.0% one-iter [20] 50.0% [26] 3582(12.5%) 404(1.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [26] 50.0% match-e [35] 44.4% --------------------------------------------------------------------- one-iter [20] 100.0% [27] 1546(5.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [31] 100.0% --------------------------------------------------------------------- finalize-iter! [22] 100.0% [28] 642(2.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% --------------------------------------------------------------------- gen-series! [23] 100.0% [29] 624(2.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [33] 100.0% --------------------------------------------------------------------- for-loop [25] 6.7% run [8] 46.3% [30] 28558(99.3%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 46.3% loop [34] 36.6% run-improve58 [2] 10.5% simplify [3] 6.7% --------------------------------------------------------------------- one-iter [20] 29.2% loop [27] 70.8% [31] 2184(7.6%) 0(0.0%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [36] 48.6% match-e [35] 21.1% update-leader! [42] 10.2% loop! [66] 10.1% for-loop [39] 10.1% --------------------------------------------------------------------- ??? [28] 100.0% [32] 642(2.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [37] 100.0% --------------------------------------------------------------------- for-loop [29] 100.0% [33] 624(2.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [38] 100.0% --------------------------------------------------------------------- run-improve58 [2] 2.1% ??? [30] 97.9% [34] 21324(74.1%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 loop [40] 53.1% make-exacts* [48] 35.2% loop [49] 11.7% --------------------------------------------------------------------- apply-match [31] 6.3% for-loop [51] 9.3% for-loop [26] 84.4% [35] 3638(12.6%) 1938(6.7%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [41] 35.2% loop [60] 8.5% constant? [45] 6.1% for-loop [51] 3.3% --------------------------------------------------------------------- apply-match [31] 100.0% [36] 1062(3.7%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [42] 62.1% loop! [66] 19.0% enode-merge! [47] 18.8% --------------------------------------------------------------------- for-loop [32] 100.0% [37] 642(2.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [43] 100.0% --------------------------------------------------------------------- taylor-alt [33] 100.0% [38] 624(2.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [44] 100.0% --------------------------------------------------------------------- apply-match [31] 100.0% [39] 220(0.8%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 substitute-e [46] 100.0% --------------------------------------------------------------------- loop [34] 100.0% [40] 11322(39.4%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [49] 58.0% make-exacts* [48] 42.0% --------------------------------------------------------------------- match-e [35] 100.0% [41] 1498(5.2%) 1062(3.7%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [51] 29.1% --------------------------------------------------------------------- apply-match [31] 25.2% merge-egraph-nodes! [36] 74.8% [42] 882(3.1%) 0(0.0%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [50] 100.0% --------------------------------------------------------------------- atab-add-altn [37] 100.0% [43] 642(2.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [52] 68.8% for-loop [55] 31.2% --------------------------------------------------------------------- location-do [44] 42.9% for-loop [38] 57.1% [44] 624(2.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 location-do [44] 42.9% approximate9 [11] 35.6% loop [5] 21.5% --------------------------------------------------------------------- match-e [35] 100.0% [45] 222(0.8%) 222(0.8%) constant? ...ck/herbie/src/syntax/syntax.rkt:221:0 --------------------------------------------------------------------- for-loop [39] 100.0% [46] 220(0.8%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [53] 100.0% --------------------------------------------------------------------- merge-egraph-nodes! [36] 100.0% [47] 200(0.7%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 custom-set-intersect! [54] 100.0% --------------------------------------------------------------------- loop [40] 38.8% loop [34] 61.2% [48] 12274(42.7%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [56] 50.9% loop [60] 40.4% eval-prog [57] 8.7% --------------------------------------------------------------------- loop [34] 27.5% loop [40] 72.5% [49] 9050(31.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [56] 100.0% --------------------------------------------------------------------- update-leader! [42] 100.0% [50] 882(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [58] 100.0% --------------------------------------------------------------------- match-e [35] 35.5% for-loop [41] 64.5% [51] 676(2.4%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 100.0% --------------------------------------------------------------------- best-and-tied-at-points [43] 100.0% [52] 442(1.5%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 for-loop [59] 100.0% --------------------------------------------------------------------- substitute-e [46] 100.0% [53] 220(0.8%) 220(0.8%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 --------------------------------------------------------------------- enode-merge! [47] 100.0% [54] 200(0.7%) 200(0.7%) custom-set-intersect! ...ivate/set-types.rkt:270:0 --------------------------------------------------------------------- best-and-tied-at-points [43] 100.0% [55] 200(0.7%) 200(0.7%) for-loop ...k/herbie/src/core/alt-table.rkt:124:16 --------------------------------------------------------------------- parse-loop12 [81] 0.6% f94 [82] 2.1% make-exacts* [48] 39.7% loop [49] 57.6% [56] 15724(54.7%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [60] 95.9% ??? [63] 1.4% ??? [62] 1.4% parse-loop12 [81] 0.6% f94 [82] 0.6% --------------------------------------------------------------------- make-exacts* [48] 100.0% [57] 1064(3.7%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 hash-ref! [64] 100.0% --------------------------------------------------------------------- for-loop [50] 100.0% [58] 882(3.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [61] 100.0% --------------------------------------------------------------------- errors [52] 100.0% [59] 442(1.5%) 222(0.8%) for-loop ...e/ztatlock/herbie/src/points.rkt:147:4 ??? [63] 49.8% --------------------------------------------------------------------- loop! [66] 0.3% parse-loop12 [81] 0.3% make-exacts* [48] 0.4% extract-alt [18] 0.5% match-e [35] 1.8% ??? [4] 4.7% map [56] 6.7% loop [60] 85.2% [60] 22566(78.5%) 200(0.7%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [60] 85.2% ??? [63] 7.1% hash-ref! [64] 4.7% simplify [3] 0.5% loop! [66] 0.3% parse-loop12 [81] 0.3% ??? [62] 0.0% bffma [77] 0.0% --------------------------------------------------------------------- for-loop [58] 100.0% [61] 882(3.1%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [65] 100.0% --------------------------------------------------------------------- loop [60] 47.6% map [56] 52.4% [62] 424(1.5%) 0(0.0%) ??? ...ket/collects/racket/private/list.rkt:323:18 taylor [67] 52.4% hash-ref! [64] 47.6% --------------------------------------------------------------------- for-loop [59] 1.1% map [56] 1.1% loop [60] 97.9% [63] 20682(71.9%) 1142(4.0%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [68] 81.3% real->bigfloat [69] 7.7% ??? [89] 5.5% --------------------------------------------------------------------- for-loop [14] 2.6% for-loop [19] 2.6% ??? [62] 5.3% localize-error [24] 5.3% ??? [75] 5.9% ??? [73] 8.0% loop [17] 13.9% eval-prog [57] 24.8% loop [60] 31.5% [64] 1890(6.6%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [4] 31.5% bigfloat-hash [70] 24.8% parse-loop12 [81] 10.7% ??? [73] 8.0% simplify [72] 8.0% ??? [75] 5.9% f94 [82] 5.9% ??? [7] 2.6% ??? [6] 2.6% --------------------------------------------------------------------- hash-update! [61] 100.0% [65] 882(3.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [71] 100.0% --------------------------------------------------------------------- loop [60] 23.9% merge-egraph-nodes! [36] 23.9% apply-match [31] 52.1% [66] 422(1.5%) 202(0.7%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 set [76] 52.1% loop [60] 23.9% --------------------------------------------------------------------- ??? [62] 100.0% [67] 222(0.8%) 0(0.0%) taylor ...tatlock/herbie/src/core/taylor.rkt:157:0 debug-print [74] 100.0% --------------------------------------------------------------------- ??? [63] 100.0% [68] 16812(58.5%) 1326(4.6%) ??? ...acket/collects/racket/private/kw.rkt:400:14 ??? [87] 44.7% bffma [77] 13.5% bf* [85] 12.2% ...ow-val-first.rkt:357:18 [86] 9.7% bfcube [79] 5.6% ...higher-order.rkt:373:33 [80] 5.0% --------------------------------------------------------------------- ??? [63] 100.0% [69] 1596(5.5%) 1354(4.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [93] 15.2% --------------------------------------------------------------------- hash-ref! [64] 100.0% [70] 1064(3.7%) 0(0.0%) bigfloat-hash ...h/private/bigfloat/mpfr.rkt:165:0 sig+exp->bigfloat [78] 100.0% --------------------------------------------------------------------- ??? [65] 100.0% [71] 882(3.1%) 682(2.4%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [84] 22.7% --------------------------------------------------------------------- hash-ref! [64] 100.0% [72] 402(1.4%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 f94 [82] 50.2% parse-loop12 [81] 49.8% --------------------------------------------------------------------- hash-ref! [64] 100.0% [73] 402(1.4%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [64] 100.0% --------------------------------------------------------------------- taylor [67] 100.0% [74] 222(0.8%) 0(0.0%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 for-loop [83] 100.0% --------------------------------------------------------------------- hash-ref! [64] 100.0% [75] 222(0.8%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [64] 100.0% --------------------------------------------------------------------- loop! [66] 100.0% [76] 220(0.8%) 220(0.8%) set ...collects/racket/private/set-types.rkt:982:0 --------------------------------------------------------------------- loop [60] 8.2% ??? [68] 91.8% [77] 2478(8.6%) 0(0.0%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 bf* [85] 66.3% ...ow-val-first.rkt:357:18 [86] 33.7% --------------------------------------------------------------------- bigfloat-hash [70] 100.0% [78] 1064(3.7%) 1064(3.7%) sig+exp->bigfloat ...ivate/bigfloat/mpfr.rkt:385:0 --------------------------------------------------------------------- ??? [68] 100.0% [79] 946(3.3%) 0(0.0%) bfcube ...tlock/herbie/src/syntax/syntax.rkt:119:0 bf* [85] 100.0% --------------------------------------------------------------------- ??? [68] 100.0% [80] 844(2.9%) 0(0.0%) ...higher-order.rkt:373:33 (unknown source) ??? [88] 100.0% --------------------------------------------------------------------- loop [60] 8.3% simplify [72] 8.3% parse-loop12 [81] 16.6% hash-ref! [64] 33.4% map [56] 33.4% [81] 604(2.1%) 200(0.7%) parse-loop12 ...s/racket/match/compiler.rkt:410:15 loop [60] 41.7% map [56] 33.4% parse-loop12 [81] 16.6% --------------------------------------------------------------------- map [56] 23.8% simplify [72] 23.8% hash-ref! [64] 52.4% [82] 424(1.5%) 202(0.7%) f94 ...t/collects/racket/match/compiler.rkt:499:40 map [56] 76.2% --------------------------------------------------------------------- debug-print [74] 100.0% [83] 222(0.8%) 222(0.8%) for-loop /home/ztatlock/herbie/src/debug.rkt:113:2 --------------------------------------------------------------------- for-loop [71] 100.0% [84] 200(0.7%) 200(0.7%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 --------------------------------------------------------------------- bfcube [79] 20.4% bffma [77] 35.4% ??? [68] 44.3% [85] 4646(16.2%) 202(0.7%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [87] 95.7% --------------------------------------------------------------------- bffma [77] 33.8% ??? [68] 66.2% [86] 2470(8.6%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [88] 100.0% --------------------------------------------------------------------- bf* [85] 37.2% ??? [68] 62.8% [87] 11952(41.6%) 4376(15.2%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfadd [90] 36.3% ??? [92] 19.5% bfsin [91] 7.5% --------------------------------------------------------------------- ...higher-order.rkt:373:33 [80] 25.5% ...ow-val-first.rkt:357:18 [86] 74.5% [88] 3314(11.5%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [89] 100.0% --------------------------------------------------------------------- ??? [63] 25.5% ??? [88] 74.5% [89] 4446(15.5%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [92] 100.0% --------------------------------------------------------------------- ??? [87] 100.0% [90] 4344(15.1%) 3180(11.1%) bfadd ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [93] 26.8% --------------------------------------------------------------------- ??? [87] 100.0% [91] 900(3.1%) 668(2.3%) bfsin ...-lib/math/private/bigfloat/mpfr.rkt:616:4 ??? [93] 25.8% --------------------------------------------------------------------- ??? [87] 34.4% ??? [89] 65.6% [92] 6778(23.6%) 3344(11.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [94] 50.7% --------------------------------------------------------------------- bfsin [91] 14.2% real->bigfloat [69] 14.8% bfadd [90] 71.1% [93] 1638(5.7%) 1638(5.7%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 --------------------------------------------------------------------- ??? [92] 100.0% [94] 3434(11.9%) 1154(4.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 any-wrap/traverse [95] 66.4% --------------------------------------------------------------------- ??? [94] 100.0% [95] 2280(7.9%) 2280(7.9%) any-wrap/traverse ...cket/utils/any-wrap.rkt:106:2 ---------------------------------------------------------------------