Profiling results ----------------- Total cpu time observed: 18786ms (out of 19276ms) Number of samples taken: 83 (once every 226ms) ======================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee ======================================================================== ??? [28] 100.0% [1] 18378(97.8%) 0(0.0%) profile-thunk14 ...t/pkgs/profile-lib/main.rkt:9:0 run [6] 100.0% ------------------------------------------------------------------------ ??? [28] 100.0% [2] 10976(58.4%) 0(0.0%) run-improve58 ...ock/herbie/src/mainloop.rkt:242:0 for-loop [7] 100.0% ------------------------------------------------------------------------ ??? [28] 100.0% [3] 10152(54.0%) 0(0.0%) simplify ...lock/herbie/src/core/simplify.rkt:39:0 simplify-expr [8] 54.6% for-loop [9] 33.0% iterate-egraph!5 [12] 12.4% ------------------------------------------------------------------------ f16 [84] 100.0% [4] 202(1.1%) 0(0.0%) taylor-invert .../herbie/src/core/taylor.rkt:312:0 simplify [72] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [5] 202(1.1%) 0(0.0%) ??? .../ztatlock/herbie/src/core/taylor.rkt:322:33 for-loop [10] 100.0% ------------------------------------------------------------------------ profile-thunk14 [1] 98.9% [6] 18584(98.9%) 0(0.0%) run ...share/racket/pkgs/profile-lib/main.rkt:31:2 ??? [28] 100.0% ------------------------------------------------------------------------ run-improve58 [2] 100.0% [7] 10976(58.4%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:253:8 run-iter! [11] 100.0% ------------------------------------------------------------------------ simplify [3] 100.0% [8] 5542(29.5%) 0(0.0%) simplify-expr ...herbie/src/core/simplify.rkt:68:0 iterate-egraph!5 [12] 96.4% loop [14] 3.6% ------------------------------------------------------------------------ simplify [3] 100.0% [9] 3352(17.8%) 0(0.0%) for-loop ...ock/herbie/src/core/simplify.rkt:61:12 iterate-egraph!5 [12] 94.0% mk-egraph [13] 6.0% ------------------------------------------------------------------------ ??? [5] 100.0% [10] 202(1.1%) 0(0.0%) for-loop ...lock/herbie/src/core/taylor.rkt:324:46 hash-ref! [68] 100.0% ------------------------------------------------------------------------ for-loop [7] 100.0% [11] 10976(58.4%) 0(0.0%) run-iter! ...tatlock/herbie/src/mainloop.rkt:223:0 simplify! [15] 92.5% gen-series! [17] 5.5% finalize-iter! [18] 2.0% ------------------------------------------------------------------------ simplify [3] 12.9% for-loop [9] 32.3% simplify-expr [8] 54.8% [12] 9748(51.9%) 0(0.0%) iterate-egraph!5 ...bie/src/core/simplify.rkt:95:0 one-iter [16] 97.7% map-enodes [19] 2.3% ------------------------------------------------------------------------ for-loop [9] 100.0% [13] 202(1.1%) 0(0.0%) mk-egraph ...lock/herbie/src/core/egraph.rkt:123:0 expr->enode [20] 100.0% ------------------------------------------------------------------------ simplify-expr [8] 100.0% [14] 202(1.1%) 0(0.0%) loop ...tatlock/herbie/src/core/simplify.rkt:203:2 pass [21] 100.0% ------------------------------------------------------------------------ run-iter! [11] 100.0% [15] 10152(54.0%) 0(0.0%) simplify! ...tatlock/herbie/src/mainloop.rkt:162:0 for-loop [22] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [12] 100.0% [16] 9526(50.7%) 424(2.3%) one-iter ...ock/herbie/src/core/simplify.rkt:106:0 for-loop [23] 62.9% loop [24] 30.4% apply-match [29] 2.3% ------------------------------------------------------------------------ run-iter! [11] 100.0% [17] 602(3.2%) 0(0.0%) gen-series! ...tlock/herbie/src/mainloop.rkt:134:0 for-loop [25] 100.0% ------------------------------------------------------------------------ run-iter! [11] 100.0% [18] 222(1.2%) 0(0.0%) finalize-iter! ...ck/herbie/src/mainloop.rkt:177:0 ??? [26] 100.0% ------------------------------------------------------------------------ iterate-egraph!5 [12] 100.0% [19] 222(1.2%) 0(0.0%) map-enodes ...ock/herbie/src/core/egraph.rkt:139:0 loop [65] 100.0% ------------------------------------------------------------------------ expr->enode [20] 50.0% mk-egraph [13] 50.0% [20] 202(1.1%) 0(0.0%) expr->enode ...ck/herbie/src/core/egraph.rkt:124:2 expr->enode [20] 50.0% mk-enode! [46] 50.0% ------------------------------------------------------------------------ loop [14] 100.0% [21] 202(1.1%) 0(0.0%) pass ...tatlock/herbie/src/core/simplify.rkt:193:2 for-loop [27] 100.0% ------------------------------------------------------------------------ simplify! [15] 100.0% [22] 10152(54.0%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:166:6 ??? [28] 100.0% ------------------------------------------------------------------------ for-loop [23] 50.0% one-iter [16] 50.0% [23] 5990(31.9%) 820(4.4%) for-loop ...ck/herbie/src/core/simplify.rkt:116:12 for-loop [23] 50.0% match-e [35] 41.3% ??? [31] 1.9% ------------------------------------------------------------------------ one-iter [16] 100.0% [24] 2892(15.4%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:53:19 apply-match [29] 100.0% ------------------------------------------------------------------------ gen-series! [17] 100.0% [25] 602(3.2%) 0(0.0%) for-loop ...ztatlock/herbie/src/mainloop.rkt:140:7 taylor-alt [30] 100.0% ------------------------------------------------------------------------ finalize-iter! [18] 100.0% [26] 222(1.2%) 0(0.0%) ??? ...contract/private/arrow-val-first.rkt:357:18 for-loop [32] 100.0% ------------------------------------------------------------------------ pass [21] 100.0% [27] 202(1.1%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:196:29 for-loop [33] 100.0% ------------------------------------------------------------------------ for-loop [22] 18.2% run [6] 41.2% [28] 18786(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk14 [1] 40.1% loop [34] 21.3% run-improve58 [2] 20.4% simplify [3] 18.2% ------------------------------------------------------------------------ one-iter [16] 7.1% loop [24] 92.9% [29] 3112(16.6%) 440(2.3%) apply-match .../herbie/src/core/simplify.rkt:122:2 merge-egraph-nodes! [36] 40.0% match-e [35] 25.8% for-loop [40] 7.1% substitute-e [41] 6.5% loop! [74] 6.5% ------------------------------------------------------------------------ for-loop [25] 100.0% [30] 602(3.2%) 0(0.0%) taylor-alt ...e/ztatlock/herbie/src/glue.rkt:142:0 for-loop [37] 100.0% ------------------------------------------------------------------------ for-loop [23] 100.0% [31] 222(1.2%) 0(0.0%) ??? /home/ztatlock/herbie/src/core/ematch.rkt:50:5 for-loop [38] 100.0% ------------------------------------------------------------------------ ??? [26] 100.0% [32] 222(1.2%) 0(0.0%) for-loop ...ock/herbie/src/core/alt-table.rkt:51:2 atab-add-altn [39] 100.0% ------------------------------------------------------------------------ for-loop [27] 100.0% [33] 202(1.1%) 202(1.1%) for-loop ...ck/herbie/src/core/simplify.rkt:183:13 ------------------------------------------------------------------------ ??? [28] 100.0% [34] 7810(41.6%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:122:2 make-exacts* [52] 55.2% loop [42] 42.2% for-loop [49] 2.6% ------------------------------------------------------------------------ apply-match [29] 8.7% for-loop [54] 12.2% for-loop [23] 79.1% [35] 5752(30.6%) 4550(24.2%) match-e ...tatlock/herbie/src/core/ematch.rkt:46:0 for-loop [43] 19.2% for-loop [54] 1.7% loop [65] 1.7% variable? [50] 1.7% ------------------------------------------------------------------------ apply-match [29] 100.0% [36] 1244(6.6%) 0(0.0%) merge-egraph-nodes! ...e/src/core/egraph.rkt:152:0 update-leader! [44] 66.2% for-loop [48] 17.7% enode-merge! [51] 16.1% ------------------------------------------------------------------------ taylor-alt [30] 100.0% [37] 602(3.2%) 0(0.0%) for-loop /home/ztatlock/herbie/src/glue.rkt:144:2 location-do [45] 100.0% ------------------------------------------------------------------------ ??? [31] 100.0% [38] 222(1.2%) 222(1.2%) for-loop ...atlock/herbie/src/core/ematch.rkt:51:7 ------------------------------------------------------------------------ for-loop [32] 100.0% [39] 222(1.2%) 0(0.0%) atab-add-altn ...rbie/src/core/alt-table.rkt:208:0 best-and-tied-at-points [47] 100.0% ------------------------------------------------------------------------ apply-match [29] 100.0% [40] 220(1.2%) 0(0.0%) for-loop ...ck/herbie/src/core/simplify.rkt:136:10 loop! [74] 100.0% ------------------------------------------------------------------------ apply-match [29] 100.0% [41] 202(1.1%) 0(0.0%) substitute-e ...ck/herbie/src/core/ematch.rkt:71:0 mk-enode! [46] 100.0% ------------------------------------------------------------------------ loop [34] 100.0% [42] 3294(17.5%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:93:2 loop [53] 52.8% make-exacts* [52] 47.2% ------------------------------------------------------------------------ match-e [35] 100.0% [43] 1406(7.5%) 400(2.1%) for-loop ...tlock/herbie/src/core/ematch.rkt:59:11 for-loop [54] 64.4% list-cartesian-product [58] 7.2% foldl [75] 7.1% ------------------------------------------------------------------------ merge-egraph-nodes! [36] 100.0% [44] 824(4.4%) 200(1.1%) update-leader! ...herbie/src/core/egraph.rkt:217:0 for-loop [55] 75.7% ------------------------------------------------------------------------ location-do [45] 16.8% for-loop [37] 83.2% [45] 602(3.2%) 0(0.0%) location-do ...tlock/herbie/src/programs.rkt:129:0 approximate9 [56] 50.3% simplify [72] 32.9% location-do [45] 16.8% ------------------------------------------------------------------------ expr->enode [20] 50.0% substitute-e [41] 50.0% [46] 404(2.2%) 404(2.2%) mk-enode! ...lock/herbie/src/core/egraph.rkt:101:0 ------------------------------------------------------------------------ atab-add-altn [39] 100.0% [47] 222(1.2%) 0(0.0%) best-and-tied-at-points ...ore/alt-table.rkt:122:0 errors [57] 100.0% ------------------------------------------------------------------------ merge-egraph-nodes! [36] 100.0% [48] 220(1.2%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:232:6 update-en-expr [93] 100.0% ------------------------------------------------------------------------ loop [34] 100.0% [49] 206(1.1%) 206(1.1%) for-loop .../ztatlock/herbie/src/points.rkt:128:18 ------------------------------------------------------------------------ match-e [35] 100.0% [50] 200(1.1%) 200(1.1%) variable? ...ck/herbie/src/syntax/syntax.rkt:218:0 ------------------------------------------------------------------------ merge-egraph-nodes! [36] 100.0% [51] 200(1.1%) 0(0.0%) enode-merge! ...ck/herbie/src/core/enode.rkt:100:0 adopt-enode! [59] 100.0% ------------------------------------------------------------------------ loop [42] 26.5% loop [34] 73.5% [52] 5866(31.2%) 0(0.0%) make-exacts* ...tatlock/herbie/src/points.rkt:80:0 map [60] 54.8% loop [65] 45.2% ------------------------------------------------------------------------ loop [42] 100.0% [53] 1738(9.3%) 0(0.0%) loop /home/ztatlock/herbie/src/points.rkt:83:4 map [60] 100.0% ------------------------------------------------------------------------ match-e [35] 14.2% for-loop [43] 85.8% [54] 1406(7.5%) 0(0.0%) for-loop ...tlock/herbie/src/core/ematch.rkt:65:37 match-e [35] 100.0% ------------------------------------------------------------------------ update-leader! [44] 100.0% [55] 624(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:222:6 for-loop [61] 100.0% ------------------------------------------------------------------------ location-do [45] 100.0% [56] 404(2.2%) 0(0.0%) approximate9 ...ck/herbie/src/core/taylor.rkt:11:0 loop [64] 50.0% f16 [84] 50.0% ------------------------------------------------------------------------ best-and-tied-at-points [47] 100.0% [57] 222(1.2%) 0(0.0%) errors /home/ztatlock/herbie/src/points.rkt:144:0 eval-prog [62] 100.0% ------------------------------------------------------------------------ for-loop [43] 100.0% [58] 202(1.1%) 0(0.0%) list-cartesian-product ...src/core/ematch.rkt:20:0 for-loop [63] 100.0% ------------------------------------------------------------------------ enode-merge! [51] 100.0% [59] 200(1.1%) 200(1.1%) adopt-enode! ...ock/herbie/src/core/enode.rkt:76:0 ------------------------------------------------------------------------ f16 [84] 3.8% loop [53] 33.7% make-exacts* [52] 62.4% [60] 5150(27.4%) 0(0.0%) map ...acket/collects/racket/private/map.rkt:21:13 loop [65] 96.2% f16 [84] 2.6% make-multiplication-node [69] 1.3% ------------------------------------------------------------------------ for-loop [55] 100.0% [61] 624(3.3%) 0(0.0%) for-loop ...tlock/herbie/src/core/egraph.rkt:223:8 hash-update! [66] 100.0% ------------------------------------------------------------------------ errors [57] 100.0% [62] 222(1.2%) 0(0.0%) eval-prog ...tatlock/herbie/src/programs.rkt:162:0 ??? [67] 100.0% ------------------------------------------------------------------------ list-cartesian-product [58] 100.0% [63] 202(1.1%) 202(1.1%) for-loop ...atlock/herbie/src/core/ematch.rkt:24:8 ------------------------------------------------------------------------ approximate9 [56] 100.0% [64] 202(1.1%) 0(0.0%) loop ...e/ztatlock/herbie/src/core/taylor.rkt:82:4 hash-ref! [68] 100.0% ------------------------------------------------------------------------ map-enodes [19] 0.1% make-exacts* [52] 0.1% ??? [70] 0.1% loop! [74] 0.1% match-e [35] 2.4% map [60] 2.8% loop [65] 94.4% [65] 8228(43.8%) 0(0.0%) loop ...cket/collects/racket/private/map.rkt:26:19 loop [65] 94.4% ??? [70] 2.8% foldl [75] 2.4% loop! [74] 0.1% ->flonum [73] 0.1% real->bigfloat [82] 0.1% for-loop [76] 0.1% ------------------------------------------------------------------------ for-loop [61] 100.0% [66] 624(3.3%) 0(0.0%) hash-update! ...ket/private/more-scheme.rkt:362:13 ??? [71] 100.0% ------------------------------------------------------------------------ eval-prog [62] 100.0% [67] 222(1.2%) 0(0.0%) ??? ...collects/racket/private/qq-and-or.rkt:155:9 ??? [77] 100.0% ------------------------------------------------------------------------ for-loop [10] 20.0% ??? [78] 20.0% loop [64] 20.0% ??? [79] 40.0% [68] 202(1.1%) 0(0.0%) hash-ref! ...racket/private/more-scheme.rkt:373:13 ??? [79] 40.0% ??? [78] 20.0% ??? [5] 20.0% simplify [72] 20.0% ------------------------------------------------------------------------ map [60] 100.0% [69] 198(1.1%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:221:0 make-multiplication-subnode [80]100.0% ------------------------------------------------------------------------ loop [65] 100.0% [70] 7116(37.9%) 222(1.2%) ??? /home/ztatlock/herbie/src/programs.rkt:168:4 ??? [81] 48.9% real->bigfloat [82] 23.5% loop [65] 17.8% ??? [102] 6.7% ------------------------------------------------------------------------ hash-update! [66] 100.0% [71] 624(3.3%) 0(0.0%) ??? .../ztatlock/herbie/src/core/egraph.rkt:225:24 for-loop [83] 100.0% ------------------------------------------------------------------------ location-do [45] 32.9% taylor-invert [4] 33.6% hash-ref! [68] 33.6% [72] 602(3.2%) 0(0.0%) simplify ...atlock/herbie/src/core/reduce.rkt:18:0 debug-print [87] 33.6% debug7 [88] 33.6% f16 [84] 32.9% ------------------------------------------------------------------------ loop [65] 100.0% [73] 488(2.6%) 166(0.9%) ->flonum ...ock/herbie/src/syntax/syntax.rkt:224:0 ??? [104] 40.2% ??? [91] 25.8% ------------------------------------------------------------------------ loop [65] 23.9% apply-match [29] 23.9% for-loop [40] 52.1% [74] 422(2.2%) 0(0.0%) loop! .../ztatlock/herbie/src/core/enode.rkt:163:2 custom-set-union [85] 52.1% loop [65] 23.9% set [86] 23.9% ------------------------------------------------------------------------ for-loop [43] 50.0% loop [65] 50.0% [75] 400(2.1%) 200(1.1%) foldl ...et/collects/racket/private/list.rkt:229:4 merge2 [89] 50.0% ------------------------------------------------------------------------ loop [65] 100.0% [76] 222(1.2%) 222(1.2%) for-loop ...ock/herbie/src/core/simplify.rkt:161:2 ------------------------------------------------------------------------ ??? [67] 100.0% [77] 222(1.2%) 222(1.2%) ??? ...ollects/racket/private/qq-and-or.rkt:164:21 ------------------------------------------------------------------------ hash-ref! [68] 100.0% [78] 202(1.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:42:15 hash-ref! [68] 100.0% ------------------------------------------------------------------------ hash-ref! [68] 100.0% [79] 202(1.1%) 0(0.0%) ??? ...e/ztatlock/herbie/src/core/taylor.rkt:63:15 hash-ref! [68] 100.0% ------------------------------------------------------------------------ make-multiplication-node [69] 100.0% [80] 198(1.1%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:231:0 for-loop [90] 100.0% ------------------------------------------------------------------------ ??? [70] 100.0% [81] 3480(18.5%) 228(1.2%) ??? ...acket/collects/racket/private/kw.rkt:400:14 bffma [92] 51.1% bf* [96] 30.1% ??? [99] 12.2% ------------------------------------------------------------------------ loop [65] 43.0% ??? [70] 57.0% [82] 2938(15.6%) 1636(8.7%) real->bigfloat .../private/bigfloat/mpfr.rkt:451:0 ??? [103] 44.3% ------------------------------------------------------------------------ ??? [71] 100.0% [83] 624(3.3%) 422(2.2%) for-loop ...lock/herbie/src/core/egraph.rkt:226:26 update-en-expr [93] 32.4% ------------------------------------------------------------------------ simplify [72] 16.5% approximate9 [56] 16.8% map [60] 33.0% f16 [84] 33.7% [84] 400(2.1%) 0(0.0%) f16 ...t/collects/racket/match/compiler.rkt:499:40 map [60] 49.5% f16 [84] 33.7% taylor-invert [4] 16.8% ------------------------------------------------------------------------ loop! [74] 100.0% [85] 220(1.2%) 0(0.0%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [94] 100.0% ------------------------------------------------------------------------ loop! [74] 100.0% [86] 202(1.1%) 202(1.1%) set ...collects/racket/private/set-types.rkt:982:0 ------------------------------------------------------------------------ simplify [72] 100.0% [87] 202(1.1%) 202(1.1%) debug-print ...ztatlock/herbie/src/debug.rkt:107:0 ------------------------------------------------------------------------ simplify [72] 100.0% [88] 202(1.1%) 202(1.1%) debug7 /home/ztatlock/herbie/src/debug.rkt:102:0 ------------------------------------------------------------------------ foldl [75] 100.0% [89] 200(1.1%) 200(1.1%) merge2 ...ztatlock/herbie/src/core/ematch.rkt:31:0 ------------------------------------------------------------------------ make-multiplication-subnode [80]100.0% [90] 198(1.1%) 0(0.0%) for-loop ...tlock/herbie/src/core/reduce.rkt:233:3 partition [95] 100.0% ------------------------------------------------------------------------ ->flonum [73] 100.0% [91] 126(0.7%) 126(0.7%) ??? ...-racket/utils/simple-result-arrow.rkt:47:15 ------------------------------------------------------------------------ ??? [81] 100.0% [92] 1780(9.5%) 258(1.4%) bffma ...atlock/herbie/src/syntax/syntax.rkt:122:0 ...ow-val-first.rkt:357:18 [97] 60.3% bf* [96] 25.2% ------------------------------------------------------------------------ for-loop [83] 47.9% for-loop [48] 52.1% [93] 422(2.2%) 422(2.2%) update-en-expr ...herbie/src/core/egraph.rkt:211:0 ------------------------------------------------------------------------ custom-set-union [85] 100.0% [94] 220(1.2%) 0(0.0%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [98] 100.0% ------------------------------------------------------------------------ for-loop [90] 100.0% [95] 198(1.1%) 198(1.1%) partition ...racket/collects/racket/list.rkt:547:0 ------------------------------------------------------------------------ bffma [92] 30.0% ??? [81] 70.0% [96] 1494(8.0%) 254(1.4%) bf* ...ath/private/bigfloat/bigfloat-mpfr.rkt:95:0 ??? [99] 83.0% ------------------------------------------------------------------------ bffma [92] 100.0% [97] 1074(5.7%) 0(0.0%) ...ow-val-first.rkt:357:18 (unknown source) ??? [100] 100.0% ------------------------------------------------------------------------ for-loop [94] 100.0% [98] 220(1.2%) 220(1.2%) for-loop ...cts/racket/private/set-types.rkt:178:5 ------------------------------------------------------------------------ ??? [81] 25.6% bf* [96] 74.4% [99] 1666(8.9%) 0(0.0%) ??? ...-racket/utils/simple-result-arrow.rkt:26:12 bfmul [101] 100.0% ------------------------------------------------------------------------ ...ow-val-first.rkt:357:18 [97] 100.0% [100] 1074(5.7%) 0(0.0%) ??? ...cts/racket/contract/private/list.rkt:187:10 ??? [102] 100.0% ------------------------------------------------------------------------ ??? [99] 100.0% [101] 1666(8.9%) 1024(5.5%) bfmul ...-lib/math/private/bigfloat/mpfr.rkt:819:4 ??? [103] 38.5% ------------------------------------------------------------------------ ??? [70] 30.7% ??? [100] 69.3% [102] 1550(8.3%) 0(0.0%) ??? ...ects/racket/contract/private/guts.rkt:638:8 ??? [104] 100.0% ------------------------------------------------------------------------ bfmul [101] 33.0% real->bigfloat [82] 67.0% [103] 1944(10.3%) 1944(10.3%) ??? .../share/racket/collects/ffi/unsafe.rkt:861:4 ------------------------------------------------------------------------ ->flonum [73] 11.2% ??? [102] 88.8% [104] 1746(9.3%) 1056(5.6%) ??? ...tract/private/arrow-higher-order.rkt:373:33 ??? [105] 28.3% ??? [106] 11.2% ------------------------------------------------------------------------ ??? [104] 100.0% [105] 494(2.6%) 494(2.6%) ??? ...ects/racket/contract/private/prop.rkt:489:4 ------------------------------------------------------------------------ ??? [104] 100.0% [106] 196(1.0%) 196(1.0%) ??? ...llects/racket/contract/combinator.rkt:178:4 ------------------------------------------------------------------------