Profiling results ----------------- Total cpu time observed: 143068ms (out of 143644ms) Number of samples taken: 456 (once every 314ms) (Hiding functions with self<1.0% and local<2.0%: 6 of 221 hidden) =================================================================================== Caller Idx Total Self Name+src Local% ms(pct) ms(pct) Callee =================================================================================== ??? [22] 100.0% [1] 143068(100.0%) 0(0.0%) profile-thunk16 ...e/pkgs/profile-lib/main.rkt:9:0 run [11] 100.0% ----------------------------------------------------------------------------------- ??? [83] 100.0% [2] 3732(2.6%) 0(0.0%) approximate9 ...ie/master/src/core/taylor.rkt:12:0 loop [12] 81.5% for-loop [19] 9.6% simplify [29] 8.8% ----------------------------------------------------------------------------------- loop [206] 24.3% for-loop [208] 75.7% [3] 2464(1.7%) 0(0.0%) syntax-e (unknown source) syntax-e/no-taint [13] 100.0% ----------------------------------------------------------------------------------- matcher [97] 100.0% [4] 1574(1.1%) 0(0.0%) ??? ...s/herbie/master/src/core/matcher.rkt:130:11 for-loop [14] 90.5% for-loop [21] 9.5% ----------------------------------------------------------------------------------- hash-ref! [63] 100.0% [5] 1242(0.9%) 0(0.0%) ??? ...es/herbie/master/src/core/taylor.rkt:301:23 for-loop [15] 100.0% ----------------------------------------------------------------------------------- ??? [22] 100.0% [6] 1162(0.8%) 0(0.0%) get-final-combination ...er/src/mainloop.rkt:371:0 infer-splitpoints [16] 100.0% ----------------------------------------------------------------------------------- loop [206] 34.1% for-loop [208] 65.9% [7] 908(0.6%) 0(0.0%) dispatch-transformer41 (unknown source) apply-transformer52 [17] 100.0% ----------------------------------------------------------------------------------- hash-ref! [63] 100.0% [8] 610(0.4%) 0(0.0%) ??? ...es/herbie/master/src/core/taylor.rkt:407:23 for-loop [18] 100.0% ----------------------------------------------------------------------------------- map [41] 100.0% [9] 360(0.3%) 0(0.0%) simplify* ...erbie/master/src/core/reduce.rkt:31:0 hash-ref! [63] 100.0% ----------------------------------------------------------------------------------- for-loop [208] 100.0% [10] 300(0.2%) 0(0.0%) expand-implicit (unknown source) resolve+shift28 [20] 100.0% ----------------------------------------------------------------------------------- profile-thunk16 [1] 100.0% [11] 143068(100.0%) 0(0.0%) run ...et-7.2/share/pkgs/profile-lib/main.rkt:39:2 ??? [22] 100.0% ----------------------------------------------------------------------------------- approximate9 [2] 100.0% [12] 3042(2.1%) 0(0.0%) loop ...ies/herbie/master/src/core/taylor.rkt:87:4 hash-ref! [63] 59.4% ??? [83] 40.6% ----------------------------------------------------------------------------------- syntax-e [3] 100.0% [13] 2464(1.7%) 0(0.0%) syntax-e/no-taint (unknown source) loop [206] 100.0% ----------------------------------------------------------------------------------- ??? [4] 100.0% [14] 1574(1.1%) 0(0.0%) for-loop ...bie/master/src/core/matcher.rkt:132:15 matcher [97] 100.0% ----------------------------------------------------------------------------------- ??? [5] 100.0% [15] 1242(0.9%) 0(0.0%) for-loop ...rbie/master/src/core/taylor.rkt:304:27 hash-ref! [63] 100.0% ----------------------------------------------------------------------------------- get-final-combination [6] 100.0% [16] 1162(0.8%) 0(0.0%) infer-splitpoints ...ter/src/core/regimes.rkt:34:0 for-loop [23] 100.0% ----------------------------------------------------------------------------------- dispatch-transformer41 [7] 100.0% [17] 908(0.6%) 0(0.0%) apply-transformer52 (unknown source) loop [206] 65.9% apply-transformer-in-context [25] 34.1% ----------------------------------------------------------------------------------- ??? [8] 100.0% [18] 610(0.4%) 0(0.0%) for-loop ...rbie/master/src/core/taylor.rkt:413:39 hash-ref! [63] 100.0% ----------------------------------------------------------------------------------- approximate9 [2] 100.0% [19] 360(0.3%) 0(0.0%) for-loop ...erbie/master/src/core/taylor.rkt:30:18 taylor-quotient [24] 100.0% ----------------------------------------------------------------------------------- expand-implicit [10] 100.0% [20] 300(0.2%) 0(0.0%) resolve+shift28 (unknown source) fallback-loop [26] 100.0% ----------------------------------------------------------------------------------- ??? [4] 100.0% [21] 298(0.2%) 0(0.0%) for-loop ...rbie/master/src/core/matcher.rkt:106:4 foldl [193] 100.0% ----------------------------------------------------------------------------------- for-loop [112] 0.2% for-loop [183] 0.9% run [11] 49.5% [22] 143068(100.0%) 0(0.0%) ??? ...lects/racket/private/more-scheme.rkt:261:28 profile-thunk16 [1] 49.5% run-improve47 [27] 46.3% prepare-points-intervals [28] 1.5% oracle-error [30] 1.0% ??? [61] 0.9% get-final-combination [6] 0.4% eval-const-expr [84] 0.2% baseline-error [32] 0.1% eval-errors [50] 0.1% errors [166] 0.1% ----------------------------------------------------------------------------------- infer-splitpoints [16] 100.0% [23] 1162(0.8%) 0(0.0%) for-loop ...erbie/master/src/core/regimes.rkt:47:6 option-on-expr [31] 100.0% ----------------------------------------------------------------------------------- for-loop [19] 100.0% [24] 360(0.3%) 0(0.0%) taylor-quotient ...aster/src/core/taylor.rkt:334:0 simplify [29] 100.0% ----------------------------------------------------------------------------------- apply-transformer52 [17] 100.0% [25] 310(0.2%) 0(0.0%) apply-transformer-in-context (unknown source) datum->syntax6 [33] 100.0% ----------------------------------------------------------------------------------- resolve+shift28 [20] 100.0% [26] 300(0.2%) 0(0.0%) fallback-loop (unknown source) for-loop [208] 100.0% ----------------------------------------------------------------------------------- ??? [22] 100.0% [27] 133738(93.5%) 0(0.0%) run-improve47 ...bie/master/src/mainloop.rkt:346:0 for-loop [34] 100.0% ----------------------------------------------------------------------------------- ??? [22] 100.0% [28] 4262(3.0%) 0(0.0%) prepare-points-intervals ...r/src/points.rkt:110:0 loop [35] 100.0% ----------------------------------------------------------------------------------- ??? [83] 9.0% approximate9 [2] 9.6% taylor-quotient [24] 10.5% hash-ref! [63] 70.9% [29] 3442(2.4%) 0(0.0%) simplify ...herbie/master/src/core/reduce.rkt:16:0 f46 [37] 64.8% debug-print [89] 26.5% parse-loop30 [74] 8.7% ----------------------------------------------------------------------------------- ??? [22] 100.0% [30] 2982(2.1%) 298(0.2%) oracle-error ...herbie/master/src/points.rkt:188:0 for-loop [36] 90.0% ----------------------------------------------------------------------------------- for-loop [23] 100.0% [31] 1162(0.8%) 0(0.0%) option-on-expr ...aster/src/core/regimes.rkt:126:0 for-loop [38] 100.0% ----------------------------------------------------------------------------------- ??? [22] 100.0% [32] 320(0.2%) 0(0.0%) baseline-error ...rbie/master/src/points.rkt:192:0 loop [39] 100.0% ----------------------------------------------------------------------------------- apply-transformer-in-context [25] 100.0% [33] 310(0.2%) 0(0.0%) datum->syntax6 (unknown source) loop [206] 100.0% ----------------------------------------------------------------------------------- run-improve47 [27] 100.0% [34] 133738(93.5%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:365:4 run-iter! [40] 100.0% ----------------------------------------------------------------------------------- prepare-points-intervals [28] 100.0% [35] 4262(3.0%) 284(0.2%) loop ...ghtlies/herbie/master/src/points.rkt:123:4 loop [42] 49.4% ??? [43] 37.4% do-curry [139] 6.6% ----------------------------------------------------------------------------------- oracle-error [30] 100.0% [36] 2684(1.9%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:189:2 map [41] 66.8% loop [179] 33.2% ----------------------------------------------------------------------------------- map [41] 24.4% simplify [29] 75.6% [37] 2232(1.6%) 0(0.0%) f46 ...2/collects/racket/match/compiler.rkt:507:40 map [41] 78.1% eval-const-expr [84] 21.9% ----------------------------------------------------------------------------------- option-on-expr [31] 100.0% [38] 1162(0.8%) 0(0.0%) for-loop ...rbie/master/src/core/regimes.rkt:136:4 errors [166] 100.0% ----------------------------------------------------------------------------------- baseline-error [32] 100.0% [39] 320(0.2%) 0(0.0%) loop .../racket-7.2/collects/racket/list.rkt:751:4 ??? [44] 100.0% ----------------------------------------------------------------------------------- for-loop [34] 100.0% [40] 133738(93.5%) 0(0.0%) run-iter! .../herbie/master/src/mainloop.rkt:327:0 simplify! [45] 90.0% finalize-iter! [46] 5.3% gen-series! [47] 3.0% gen-rewrites! [49] 1.2% localize! [51] 0.4% ----------------------------------------------------------------------------------- parse-loop30 [74] 7.4% for-loop [36] 45.0% f46 [37] 47.6% [41] 3986(2.8%) 0(0.0%) map ...t-7.2/collects/racket/private/map.rkt:35:13 loop [179] 44.9% parse-loop30 [74] 18.8% f46 [37] 17.5% make-multiplication-node [52] 8.3% ??? [48] 7.5% simplify* [9] 3.0% ----------------------------------------------------------------------------------- loop [35] 100.0% [42] 2104(1.5%) 332(0.2%) loop ...ightlies/herbie/master/src/points.rkt:81:2 ??? [61] 71.1% hash-update! [180] 13.1% ----------------------------------------------------------------------------------- loop [35] 100.0% [43] 1594(1.1%) 276(0.2%) ??? ...ightlies/herbie/master/src/points.rkt:106:2 ??? [83] 62.5% ??? [192] 20.2% ----------------------------------------------------------------------------------- loop [39] 100.0% [44] 320(0.2%) 0(0.0%) ??? ...ghtlies/herbie/master/src/points.rkt:193:27 eval-errors [50] 100.0% ----------------------------------------------------------------------------------- run-iter! [40] 100.0% [45] 120420(84.2%) 0(0.0%) simplify! .../herbie/master/src/mainloop.rkt:224:0 ??? [53] 100.0% ----------------------------------------------------------------------------------- run-iter! [40] 100.0% [46] 7106(5.0%) 0(0.0%) finalize-iter! ...ie/master/src/mainloop.rkt:278:0 ??? [123] 100.0% ----------------------------------------------------------------------------------- run-iter! [40] 100.0% [47] 4042(2.8%) 0(0.0%) gen-series! ...erbie/master/src/mainloop.rkt:160:0 for-loop [54] 100.0% ----------------------------------------------------------------------------------- map [41] 11.2% loop [179] 88.8% [48] 2684(1.9%) 300(0.2%) ??? ...ghtlies/herbie/master/src/points.rkt:190:26 ??? [61] 77.6% ulp-difference [59] 11.3% ----------------------------------------------------------------------------------- run-iter! [40] 100.0% [49] 1574(1.1%) 0(0.0%) gen-rewrites! ...bie/master/src/mainloop.rkt:183:0 for-loop [55] 100.0% ----------------------------------------------------------------------------------- ??? [22] 47.7% ??? [44] 52.3% [50] 612(0.4%) 0(0.0%) eval-errors .../herbie/master/src/points.rkt:179:0 for-loop [56] 100.0% ----------------------------------------------------------------------------------- run-iter! [40] 100.0% [51] 596(0.4%) 0(0.0%) localize! .../herbie/master/src/mainloop.rkt:127:0 localize-error [57] 100.0% ----------------------------------------------------------------------------------- map [41] 100.0% [52] 330(0.2%) 0(0.0%) make-multiplication-node .../core/reduce.rkt:234:0 make-multiplication-subnode [58] 100.0% ----------------------------------------------------------------------------------- simplify! [45] 100.0% [53] 120420(84.2%) 0(0.0%) ??? ...es/herbie/master/src/core/simplify.rkt:31:0 for-loop [60] 99.0% loop [72] 0.8% for-loop [66] 0.3% ----------------------------------------------------------------------------------- gen-series! [47] 100.0% [54] 4042(2.8%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:167:7 taylor-alt [62] 100.0% ----------------------------------------------------------------------------------- gen-rewrites! [49] 100.0% [55] 1574(1.1%) 0(0.0%) for-loop .../herbie/master/src/mainloop.rkt:191:11 rewrite-expression-head20 [64] 100.0% ----------------------------------------------------------------------------------- eval-errors [50] 100.0% [56] 612(0.4%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:181:2 ??? [61] 100.0% ----------------------------------------------------------------------------------- localize! [51] 100.0% [57] 596(0.4%) 0(0.0%) localize-error ...aster/src/core/localize.rkt:66:0 hash-ref! [63] 100.0% ----------------------------------------------------------------------------------- make-multiplication-node [52] 100.0% [58] 330(0.2%) 0(0.0%) make-multiplication-subnode ...re/reduce.rkt:244:0 for-loop [65] 100.0% ----------------------------------------------------------------------------------- ??? [48] 100.0% [59] 302(0.2%) 302(0.2%) ulp-difference ...herbie/master/src/float.rkt:20:0 ----------------------------------------------------------------------------------- ??? [53] 100.0% [60] 119188(83.3%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:51:2 ??? [67] 96.8% precompute-phase [71] 1.8% loop [72] 1.1% for-loop [79] 0.3% ----------------------------------------------------------------------------------- for-loop [56] 7.8% loop [42] 19.0% ??? [48] 26.4% ??? [22] 46.9% [61] 7890(5.5%) 0(0.0%) ??? ...htlies/herbie/master/src/programs.rkt:115:2 ??? [68] 92.3% ??? [83] 7.7% ----------------------------------------------------------------------------------- for-loop [54] 100.0% [62] 4042(2.8%) 0(0.0%) taylor-alt ...herbie/master/src/mainloop.rkt:146:0 for-loop [69] 100.0% ----------------------------------------------------------------------------------- ??? [78] 2.7% for-loop [18] 4.1% ??? [76] 4.8% for-loop [15] 6.4% simplify* [9] 9.0% localize-error [57] 14.9% loop [12] 15.3% ??? [70] 17.6% ??? [83] 25.1% [63] 3998(2.8%) 360(0.3%) hash-ref! .../racket/private/more-scheme.rkt:376:2 ??? [70] 17.6% simplify [29] 17.6% ??? [73] 15.3% parse-loop30 [74] 14.9% taylor [77] 7.5% ??? [5] 6.4% ??? [76] 4.8% ??? [8] 4.1% ??? [78] 2.7% ----------------------------------------------------------------------------------- for-loop [55] 100.0% [64] 1574(1.1%) 0(0.0%) rewrite-expression-head20 ...core/matcher.rkt:87:0 rewriter [75] 100.0% ----------------------------------------------------------------------------------- make-multiplication-subnode [58] 100.0% [65] 330(0.2%) 0(0.0%) for-loop ...erbie/master/src/core/reduce.rkt:246:3 loop [179] 100.0% ----------------------------------------------------------------------------------- ??? [53] 100.0% [66] 324(0.2%) 0(0.0%) for-loop ...bie/master/src/core/simplify.rkt:42:14 mk-enode-rec! [111] 100.0% ----------------------------------------------------------------------------------- for-loop [60] 100.0% [67] 115412(80.7%) 0(0.0%) ??? ...es/herbie/master/src/core/simplify.rkt:92:0 for-loop [80] 63.3% find-matches [81] 36.7% ----------------------------------------------------------------------------------- ??? [61] 100.0% [68] 7286(5.1%) 0(0.0%) ??? ...t-7.2/collects/racket/private/kw.rkt:594:14 ??? [82] 79.5% ??? [88] 20.5% ----------------------------------------------------------------------------------- taylor-alt [62] 100.0% [69] 4042(2.8%) 0(0.0%) for-loop ...s/herbie/master/src/mainloop.rkt:152:6 ??? [83] 100.0% ----------------------------------------------------------------------------------- hash-ref! [63] 100.0% [70] 2442(1.7%) 0(0.0%) ??? ...ies/herbie/master/src/core/taylor.rkt:45:15 hash-ref! [63] 100.0% ----------------------------------------------------------------------------------- for-loop [60] 100.0% [71] 2204(1.5%) 0(0.0%) precompute-phase ...er/src/core/simplify.rkt:101:0 for-loop [85] 100.0% ----------------------------------------------------------------------------------- ??? [53] 41.7% for-loop [60] 58.3% [72] 2178(1.5%) 0(0.0%) loop ...herbie/master/src/core/extraction.rkt:25:2 for-loop [86] 100.0% ----------------------------------------------------------------------------------- hash-ref! [63] 100.0% [73] 1808(1.3%) 0(0.0%) ??? ...ies/herbie/master/src/core/taylor.rkt:68:15 ??? [83] 100.0% ----------------------------------------------------------------------------------- simplify [29] 16.6% hash-ref! [63] 33.3% map [41] 50.1% [74] 1792(1.3%) 0(0.0%) parse-loop30 ...s/racket/match/compiler.rkt:418:15 eval-const-expr [84] 66.7% compose [91] 16.7% map [41] 16.5% ----------------------------------------------------------------------------------- rewrite-expression-head20 [64] 38.6% matcher [97] 61.4% [75] 1574(1.1%) 300(0.2%) rewriter ...erbie/master/src/core/matcher.rkt:90:2 for-loop [87] 87.3% *rules* [92] 6.3% ----------------------------------------------------------------------------------- hash-ref! [63] 100.0% [76] 932(0.7%) 0(0.0%) ??? ...es/herbie/master/src/core/taylor.rkt:363:30 hash-ref! [63] 100.0% ----------------------------------------------------------------------------------- hash-ref! [63] 100.0% [77] 600(0.4%) 300(0.2%) taylor .../herbie/master/src/core/taylor.rkt:170:0 debug-print [89] 50.0% ----------------------------------------------------------------------------------- hash-ref! [63] 100.0% [78] 598(0.4%) 0(0.0%) ??? ...es/herbie/master/src/core/taylor.rkt:328:33 hash-ref! [63] 100.0% ----------------------------------------------------------------------------------- for-loop [60] 100.0% [79] 302(0.2%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:59:4 prune-phase [90] 100.0% ----------------------------------------------------------------------------------- ??? [67] 100.0% [80] 73104(51.1%) 322(0.2%) for-loop ...rbie/master/src/core/simplify.rkt:93:2 for-loop [93] 99.6% ----------------------------------------------------------------------------------- ??? [67] 100.0% [81] 42308(29.6%) 0(0.0%) find-matches .../master/src/core/simplify.rkt:84:0 for-loop [94] 100.0% ----------------------------------------------------------------------------------- ??? [68] 100.0% [82] 5790(4.0%) 4854(3.4%) ??? .../herbie/master/src/syntax/syntax.rkt:214:17 return/no-unsupplied [125] 16.2% ----------------------------------------------------------------------------------- loop [12] 7.3% ??? [73] 10.7% ??? [61] 10.7% ??? [43] 17.7% location-do [95] 26.8% for-loop [69] 26.8% [83] 5642(3.9%) 604(0.4%) ??? ...tract/private/arrow-higher-order.rkt:360:33 location-do [95] 26.8% approximate9 [2] 24.1% hash-ref! [63] 18.0% sample-multi-bounded [99] 17.7% simplify [29] 2.7% ----------------------------------------------------------------------------------- f46 [37] 25.8% ??? [22] 26.2% parse-loop30 [74] 48.0% [84] 2494(1.7%) 0(0.0%) eval-const-expr ...e/master/src/programs.rkt:118:0 temp85_0 [190] 85.9% eval [103] 14.1% ----------------------------------------------------------------------------------- precompute-phase [71] 100.0% [85] 2204(1.5%) 0(0.0%) for-loop ...bie/master/src/core/simplify.rkt:102:2 set-precompute! [96] 100.0% ----------------------------------------------------------------------------------- loop [72] 100.0% [86] 2178(1.5%) 668(0.5%) for-loop ...ie/master/src/core/extraction.rkt:29:4 for-loop [98] 69.3% ----------------------------------------------------------------------------------- rewriter [75] 100.0% [87] 1574(1.1%) 0(0.0%) for-loop ...erbie/master/src/core/matcher.rkt:92:4 matcher [97] 88.7% for-loop [102] 11.3% ----------------------------------------------------------------------------------- ??? [68] 100.0% [88] 1496(1.0%) 282(0.2%) ??? ...tract/private/arrow-higher-order.rkt:364:33 ival-atan2 [101] 41.2% ival-div [104] 21.5% ival-log [108] 18.4% ----------------------------------------------------------------------------------- taylor [77] 24.8% simplify [29] 75.2% [89] 1212(0.8%) 0(0.0%) debug-print ...s/herbie/master/src/debug.rkt:110:0 ??? [100] 75.1% for-loop [105] 24.9% ----------------------------------------------------------------------------------- for-loop [79] 100.0% [90] 302(0.2%) 0(0.0%) prune-phase .../master/src/core/simplify.rkt:106:0 for-loop [106] 100.0% ----------------------------------------------------------------------------------- parse-loop30 [74] 100.0% [91] 300(0.2%) 300(0.2%) compose ...collects/racket/private/list.rkt:385:12 ----------------------------------------------------------------------------------- rewriter [75] 100.0% [92] 298(0.2%) 0(0.0%) *rules* ...erbie/master/src/syntax/rules.rkt:666:0 for-loop [107] 100.0% ----------------------------------------------------------------------------------- for-loop [80] 100.0% [93] 72782(50.9%) 0(0.0%) for-loop ...rbie/master/src/core/simplify.rkt:96:4 merge-egraph-nodes! [121] 57.2% dedup-children! [150] 28.4% pattern-substitute [110] 9.7% mk-enode-rec! [111] 4.7% ----------------------------------------------------------------------------------- for-loop [94] 49.6% find-matches [81] 50.4% [94] 42308(29.6%) 918(0.6%) for-loop ...rbie/master/src/core/simplify.rkt:86:8 for-loop [94] 49.6% match-e [109] 48.5% ??? [155] 0.4% ----------------------------------------------------------------------------------- location-do [95] 37.1% ??? [83] 62.9% [95] 4042(2.8%) 0(0.0%) location-do ...herbie/master/src/programs.rkt:64:0 ??? [83] 62.9% location-do [95] 37.1% ----------------------------------------------------------------------------------- for-loop [85] 100.0% [96] 2204(1.5%) 0(0.0%) set-precompute! ...ter/src/core/simplify.rkt:110:0 for-loop [112] 100.0% ----------------------------------------------------------------------------------- for-loop [14] 46.8% for-loop [87] 53.2% [97] 1574(1.1%) 0(0.0%) matcher ...erbie/master/src/core/matcher.rkt:118:2 ??? [4] 53.2% rewriter [75] 44.3% return/no-unsupplied [125] 2.6% ----------------------------------------------------------------------------------- for-loop [86] 100.0% [98] 1510(1.1%) 1208(0.8%) for-loop ...e/master/src/core/extraction.rkt:37:16 for-loop [118] 20.0% ----------------------------------------------------------------------------------- ??? [83] 100.0% [99] 996(0.7%) 0(0.0%) sample-multi-bounded ...master/src/points.rkt:15:0 random-ranges [113] 100.0% ----------------------------------------------------------------------------------- debug-print [89] 100.0% [100] 910(0.6%) 300(0.2%) ??? .../contract/private/arrow-val-first.rkt:430:3 mk-call [114] 67.0% ----------------------------------------------------------------------------------- ??? [88] 100.0% [101] 616(0.4%) 616(0.4%) ival-atan2 ...bie/master/src/biginterval.rkt:331:0 ----------------------------------------------------------------------------------- for-loop [87] 100.0% [102] 356(0.2%) 0(0.0%) for-loop ...erbie/master/src/core/matcher.rkt:99:8 fix-up-variables [115] 100.0% ----------------------------------------------------------------------------------- eval-const-expr [84] 100.0% [103] 352(0.2%) 0(0.0%) eval (unknown source) namespace-syntax-introduce3 [116] 100.0% ----------------------------------------------------------------------------------- ??? [88] 100.0% [104] 322(0.2%) 0(0.0%) ival-div ...erbie/master/src/biginterval.rkt:155:0 bfdiv [117] 100.0% ----------------------------------------------------------------------------------- debug-print [89] 100.0% [105] 302(0.2%) 302(0.2%) for-loop ...lies/herbie/master/src/debug.rkt:116:2 ----------------------------------------------------------------------------------- prune-phase [90] 100.0% [106] 302(0.2%) 0(0.0%) for-loop ...bie/master/src/core/simplify.rkt:107:2 update-leader! [136] 100.0% ----------------------------------------------------------------------------------- *rules* [92] 100.0% [107] 298(0.2%) 0(0.0%) for-loop ...lies/herbie/master/src/common.rkt:62:9 flag-set? [119] 100.0% ----------------------------------------------------------------------------------- ??? [88] 100.0% [108] 276(0.2%) 0(0.0%) ival-log ...erbie/master/src/biginterval.rkt:201:0 bflog [120] 100.0% ----------------------------------------------------------------------------------- for-loop [135] 28.8% for-loop [94] 71.2% [109] 41078(28.7%) 4950(3.5%) match-e .../herbie/master/src/core/ematch.rkt:39:0 for-loop [122] 84.8% constant? [181] 3.6% variable? [124] 1.8% ??? [123] 0.9% ----------------------------------------------------------------------------------- pattern-substitute [110] 37.1% for-loop [93] 62.9% [110] 7042(4.9%) 3028(2.1%) pattern-substitute ...er/src/core/matcher.rkt:46:0 pattern-substitute [110] 37.1% do-curry [139] 12.5% ??? [123] 4.8% ??? [192] 4.6% return/no-unsupplied [125] 4.5% variable? [124] 3.6% constant? [181] 2.9% ----------------------------------------------------------------------------------- for-loop [66] 2.9% loop [179] 10.2% for-loop [93] 87.0% [111] 3768(2.6%) 914(0.6%) mk-enode-rec! .../master/src/core/egraph.rkt:117:0 new-enode [126] 30.4% loop [179] 26.1% do-curry [139] 16.2% for-loop [132] 8.8% ----------------------------------------------------------------------------------- set-precompute! [96] 100.0% [112] 2204(1.5%) 0(0.0%) for-loop ...bie/master/src/core/simplify.rkt:112:2 setfindf [127] 43.3% ??? [22] 29.7% merge-egraph-nodes! [121] 27.0% ----------------------------------------------------------------------------------- sample-multi-bounded [99] 100.0% [113] 996(0.7%) 638(0.4%) random-ranges ...erbie/master/src/common.rkt:171:0 cons/c [129] 35.9% ----------------------------------------------------------------------------------- ??? [100] 100.0% [114] 610(0.4%) 300(0.2%) mk-call ...tract/private/arrow-val-first.rkt:433:5 loop [133] 50.8% ----------------------------------------------------------------------------------- for-loop [102] 100.0% [115] 356(0.2%) 0(0.0%) fix-up-variables ...ter/src/core/matcher.rkt:111:2 pattern-match [130] 100.0% ----------------------------------------------------------------------------------- eval [103] 100.0% [116] 352(0.2%) 0(0.0%) namespace-syntax-introduce3 (unknown source) free-identifier=? [131] 100.0% ----------------------------------------------------------------------------------- ival-div [104] 100.0% [117] 322(0.2%) 0(0.0%) bfdiv ...-lib/math/private/bigfloat/mpfr.rkt:821:4 new-mpfr [128] 100.0% ----------------------------------------------------------------------------------- for-loop [98] 100.0% [118] 302(0.2%) 302(0.2%) for-loop ...e/master/src/core/extraction.rkt:41:23 ----------------------------------------------------------------------------------- for-loop [107] 100.0% [119] 298(0.2%) 298(0.2%) flag-set? ...ies/herbie/master/src/config.rkt:28:0 ----------------------------------------------------------------------------------- ival-log [108] 100.0% [120] 276(0.2%) 0(0.0%) bflog ...-lib/math/private/bigfloat/mpfr.rkt:618:4 new-mpfr [128] 100.0% ----------------------------------------------------------------------------------- for-loop [112] 1.4% merge-egraph-nodes! [121] 4.9% for-loop [138] 5.0% for-loop [93] 88.6% [121] 42244(29.5%) 0(0.0%) merge-egraph-nodes! ...r/src/core/egraph.rkt:145:0 loop! [134] 61.9% update-leader! [136] 16.9% for-loop [138] 8.1% dedup-children! [150] 6.8% merge-egraph-nodes! [121] 4.9% enode-merge! [145] 1.4% ----------------------------------------------------------------------------------- match-e [109] 100.0% [122] 38672(27.0%) 13444(9.4%) for-loop ...erbie/master/src/core/ematch.rkt:52:11 for-loop [135] 50.7% do-curry [139] 5.9% procedure-reduce-keyword-arity-mask [140] 5.6% loop [179] 2.6% step [191] 2.3% foldl [193] 1.5% foldr [144] 1.3% cp-2 [157] 0.9% filter [143] 0.8% ----------------------------------------------------------------------------------- match-e [109] 9.0% pattern-substitute [110] 9.3% variable? [124] 12.4% finalize-iter! [46] 69.4% [123] 10246(7.2%) 2836(2.0%) ??? ...contract/private/arrow-val-first.rkt:390:18 for-loop [137] 66.4% ??? [148] 3.0% atab-add-altns [149] 2.9% ----------------------------------------------------------------------------------- pattern-substitute [110] 21.7% match-e [109] 78.3% [124] 2778(1.9%) 0(0.0%) variable? ...ie/master/src/syntax/syntax.rkt:729:0 value? [188] 54.4% ??? [123] 45.6% ----------------------------------------------------------------------------------- matcher [97] 17.0% pattern-substitute [110] 33.4% ??? [82] 49.5% [125] 1890(1.3%) 1264(0.9%) return/no-unsupplied ...ct/private/arr-i.rkt:542:0 filter [143] 33.1% ----------------------------------------------------------------------------------- mk-enode-rec! [111] 100.0% [126] 1312(0.9%) 310(0.2%) new-enode ...erbie/master/src/core/enode.rkt:101:0 type-of-enode-expr [141] 76.4% ----------------------------------------------------------------------------------- for-loop [112] 100.0% [127] 954(0.7%) 0(0.0%) setfindf ...ies/herbie/master/src/common.rkt:130:0 for-loop [142] 100.0% ----------------------------------------------------------------------------------- bflog [120] 46.2% bfdiv [117] 53.8% [128] 598(0.4%) 598(0.4%) new-mpfr ...b/math/private/bigfloat/mpfr.rkt:335:0 ----------------------------------------------------------------------------------- random-ranges [113] 100.0% [129] 358(0.3%) 358(0.3%) cons/c .../racket/contract/private/guts.rkt:504:15 ----------------------------------------------------------------------------------- fix-up-variables [115] 100.0% [130] 356(0.2%) 0(0.0%) pattern-match .../master/src/core/matcher.rkt:30:0 for-loop [146] 100.0% ----------------------------------------------------------------------------------- namespace-syntax-introduce3 [116] 100.0% [131] 352(0.2%) 352(0.2%) free-identifier=? (unknown source) ----------------------------------------------------------------------------------- mk-enode-rec! [111] 100.0% [132] 330(0.2%) 330(0.2%) for-loop ...rbie/master/src/core/egraph.rkt:109:10 ----------------------------------------------------------------------------------- mk-call [114] 100.0% [133] 310(0.2%) 0(0.0%) loop ...contract/private/arrow-val-first.rkt:437:8 ??? [147] 100.0% ----------------------------------------------------------------------------------- loop [179] 28.2% merge-egraph-nodes! [121] 71.8% [134] 29334(20.5%) 8258(5.8%) loop! ...es/herbie/master/src/core/enode.rkt:194:2 custom-set-union [151] 34.9% loop [179] 34.6% set [152] 13.2% update-en-expr [199] 1.6% ----------------------------------------------------------------------------------- for-loop [122] 100.0% [135] 25362(17.7%) 914(0.6%) for-loop ...erbie/master/src/core/ematch.rkt:58:37 match-e [109] 84.5% ??? [155] 11.9% ----------------------------------------------------------------------------------- for-loop [106] 3.8% merge-egraph-nodes! [121] 96.2% [136] 7938(5.5%) 604(0.4%) update-leader! ...master/src/core/egraph.rkt:213:0 for-loop [153] 84.5% for-loop [159] 4.1% custom-set-union! [163] 3.8% ----------------------------------------------------------------------------------- ??? [123] 100.0% [137] 6804(4.8%) 0(0.0%) for-loop ...bie/master/src/core/alt-table.rkt:55:2 atab-add-altn [154] 63.5% errors [166] 27.3% override-at-pnts [173] 4.8% loop [162] 4.4% ----------------------------------------------------------------------------------- merge-egraph-nodes! [121] 100.0% [138] 6084(4.3%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:199:4 merge-egraph-nodes! [121] 78.4% dedup-children! [150] 21.6% ----------------------------------------------------------------------------------- loop [35] 5.8% mk-enode-rec! [111] 12.7% pattern-substitute [110] 18.4% for-loop [122] 63.1% [139] 4802(3.4%) 4802(3.4%) do-curry ...-7.2/collects/racket/function.rkt:71:2 ----------------------------------------------------------------------------------- for-loop [122] 100.0% [140] 2172(1.5%) 2172(1.5%) procedure-reduce-keyword-arity-mask ....rkt:1562:4 ----------------------------------------------------------------------------------- new-enode [126] 100.0% [141] 1002(0.7%) 0(0.0%) type-of-enode-expr ...ster/src/core/enode.rkt:66:0 table-ref [156] 100.0% ----------------------------------------------------------------------------------- setfindf [127] 100.0% [142] 954(0.7%) 654(0.5%) for-loop ...ies/herbie/master/src/common.rkt:131:2 constant? [181] 31.4% ----------------------------------------------------------------------------------- for-loop [122] 33.0% return/no-unsupplied [125] 67.0% [143] 934(0.7%) 934(0.7%) filter ...2/collects/racket/private/list.rkt:256:2 ----------------------------------------------------------------------------------- for-loop [122] 100.0% [144] 644(0.5%) 320(0.2%) foldr ....2/collects/racket/private/list.rkt:242:4 cp-2 [157] 50.3% ----------------------------------------------------------------------------------- merge-egraph-nodes! [121] 100.0% [145] 602(0.4%) 280(0.2%) enode-merge! ...ie/master/src/core/enode.rkt:131:0 adopt-enode! [160] 53.5% ----------------------------------------------------------------------------------- pattern-match [130] 100.0% [146] 356(0.2%) 0(0.0%) for-loop ...erbie/master/src/core/matcher.rkt:27:9 fallback-update [158] 100.0% ----------------------------------------------------------------------------------- loop [133] 100.0% [147] 310(0.2%) 0(0.0%) ??? ...ects/racket/contract/private/prop.rkt:541:4 ??? [161] 100.0% ----------------------------------------------------------------------------------- ??? [123] 100.0% [148] 304(0.2%) 304(0.2%) ??? ...ects/racket/contract/private/guts.rkt:772:8 ----------------------------------------------------------------------------------- ??? [123] 100.0% [149] 302(0.2%) 0(0.0%) atab-add-altns ...ster/src/core/alt-table.rkt:49:0 loop [164] 100.0% ----------------------------------------------------------------------------------- for-loop [138] 5.2% merge-egraph-nodes! [121] 13.3% for-loop [93] 81.5% [150] 25320(17.7%) 0(0.0%) dedup-children! ...master/src/core/enode.rkt:202:0 loop [164] 71.8% loop [165] 28.2% ----------------------------------------------------------------------------------- loop! [134] 100.0% [151] 10520(7.4%) 3658(2.6%) custom-set-union ...et/private/set-types.rkt:168:0 for-loop [167] 56.8% for-loop [170] 8.5% ----------------------------------------------------------------------------------- loop! [134] 100.0% [152] 7730(5.4%) 7730(5.4%) set ...collects/racket/private/set-types.rkt:981:0 ----------------------------------------------------------------------------------- update-leader! [136] 100.0% [153] 6706(4.7%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:218:6 hash-update! [180] 63.3% for-loop [169] 36.7% ----------------------------------------------------------------------------------- for-loop [137] 100.0% [154] 4318(3.0%) 0(0.0%) atab-add-altn ...ster/src/core/alt-table.rkt:203:0 errors [166] 79.2% append-at-pnts [175] 7.0% for-loop [178] 6.9% override-at-pnts [173] 6.9% ----------------------------------------------------------------------------------- for-loop [94] 8.0% for-loop [135] 92.0% [155] 3918(2.7%) 1214(0.8%) ??? ...lies/herbie/master/src/core/ematch.rkt:43:5 for-loop [168] 69.0% ----------------------------------------------------------------------------------- type-of-enode-expr [141] 100.0% [156] 1002(0.7%) 334(0.2%) table-ref ...ies/herbie/master/src/common.rkt:33:0 for-loop [171] 66.7% ----------------------------------------------------------------------------------- foldr [144] 49.2% for-loop [122] 50.8% [157] 658(0.5%) 0(0.0%) cp-2 .../racket-7.2/collects/racket/list.rkt:826:2 for-loop [172] 100.0% ----------------------------------------------------------------------------------- for-loop [146] 100.0% [158] 356(0.2%) 356(0.2%) fallback-update ...s/racket/private/dict.rkt:115:2 ----------------------------------------------------------------------------------- update-leader! 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[22] 4.6% for-loop [38] 17.2% for-loop [137] 27.5% atab-add-altn [154] 50.6% [166] 6754(4.7%) 0(0.0%) errors ...tlies/herbie/master/src/points.rkt:201:0 for-loop [183] 59.6% eval-prog [184] 40.4% ----------------------------------------------------------------------------------- custom-set-union [151] 100.0% [167] 5972(4.2%) 1910(1.3%) for-loop ...cts/racket/private/set-types.rkt:174:3 for-loop [182] 68.0% ----------------------------------------------------------------------------------- ??? [155] 100.0% [168] 2704(1.9%) 300(0.2%) for-loop ...herbie/master/src/core/ematch.rkt:44:7 constant? [181] 88.9% ----------------------------------------------------------------------------------- for-loop [153] 100.0% [169] 2464(1.7%) 0(0.0%) for-loop ...erbie/master/src/core/egraph.rkt:219:8 hash-update! [180] 100.0% ----------------------------------------------------------------------------------- custom-set-union [151] 100.0% [170] 890(0.6%) 890(0.6%) for-loop ...cts/racket/private/set-types.rkt:152:2 ----------------------------------------------------------------------------------- table-ref [156] 100.0% [171] 668(0.5%) 668(0.5%) for-loop ...lies/herbie/master/src/common.rkt:35:4 ----------------------------------------------------------------------------------- cp-2 [157] 100.0% [172] 658(0.5%) 658(0.5%) for-loop ...ket-7.2/collects/racket/list.rkt:827:4 ----------------------------------------------------------------------------------- atab-add-altn [154] 47.8% for-loop [137] 52.2% [173] 624(0.4%) 0(0.0%) override-at-pnts ...r/src/core/alt-table.rkt:138:0 for-loop [186] 100.0% ----------------------------------------------------------------------------------- ??? [161] 100.0% [174] 310(0.2%) 0(0.0%) contract-first-order ...act/private/guts.rkt:239:0 coerce-contract/f [187] 100.0% ----------------------------------------------------------------------------------- atab-add-altn [154] 100.0% [175] 302(0.2%) 0(0.0%) append-at-pnts ...ter/src/core/alt-table.rkt:146:0 loop [179] 100.0% ----------------------------------------------------------------------------------- loop [162] 20.0% loop [176] 80.0% [176] 300(0.2%) 300(0.2%) loop ...racket-7.2/collects/racket/list.rkt:434:28 loop [176] 80.0% ----------------------------------------------------------------------------------- custom-set-union! [163] 100.0% [177] 300(0.2%) 300(0.2%) for-loop ...cts/racket/private/set-types.rkt:253:4 ----------------------------------------------------------------------------------- atab-add-altn [154] 100.0% [178] 298(0.2%) 298(0.2%) for-loop ...ie/master/src/core/alt-table.rkt:119:2 ----------------------------------------------------------------------------------- append-at-pnts [175] 0.4% for-loop [36] 1.3% for-loop [65] 1.4% for-loop [122] 3.4% mk-enode-rec! [111] 5.5% map [41] 5.9% loop! [134] 14.4% loop [179] 67.7% [179] 23086(16.1%) 3130(2.2%) loop ...-7.2/collects/racket/private/map.rkt:40:19 loop [179] 67.7% loop! [134] 12.2% ??? [48] 7.1% mk-enode-rec! [111] 2.9% ??? [192] 2.6% step [191] 1.5% foldl [193] 1.5% ----------------------------------------------------------------------------------- loop [42] 4.0% for-loop [169] 35.3% for-loop [153] 60.8% [180] 6982(4.9%) 276(0.2%) hash-update! ...cket/private/more-scheme.rkt:365:4 ??? [189] 96.0% ----------------------------------------------------------------------------------- for-loop [142] 4.7% pattern-substitute [110] 9.7% for-loop [168] 37.3% match-e [109] 48.4% [181] 6440(4.5%) 326(0.2%) constant? ...ie/master/src/syntax/syntax.rkt:726:0 value? [188] 94.9% ----------------------------------------------------------------------------------- for-loop [167] 100.0% [182] 4062(2.8%) 4062(2.8%) for-loop ...cts/racket/private/set-types.rkt:178:5 ----------------------------------------------------------------------------------- errors [166] 100.0% [183] 4028(2.8%) 0(0.0%) for-loop ...ies/herbie/master/src/points.rkt:203:2 ??? [22] 100.0% ----------------------------------------------------------------------------------- errors [166] 100.0% [184] 2726(1.9%) 0(0.0%) eval-prog ...s/herbie/master/src/programs.rkt:83:0 temp85_0 [190] 100.0% ----------------------------------------------------------------------------------- loop [165] 100.0% [185] 2106(1.5%) 2106(1.5%) member (unknown source) ----------------------------------------------------------------------------------- override-at-pnts [173] 100.0% [186] 624(0.4%) 624(0.4%) for-loop ...e/master/src/core/alt-table.rkt:139:22 ----------------------------------------------------------------------------------- contract-first-order [174] 100.0% [187] 310(0.2%) 310(0.2%) coerce-contract/f ...ntract/private/guts.rkt:373:0 ----------------------------------------------------------------------------------- variable? [124] 19.8% constant? [181] 80.2% [188] 7624(5.3%) 7624(5.3%) value? .../herbie/master/src/syntax/types.rkt:18:0 ----------------------------------------------------------------------------------- hash-update! [180] 100.0% [189] 6706(4.7%) 322(0.2%) ??? ...es/herbie/master/src/core/egraph.rkt:221:24 for-loop [194] 95.2% ----------------------------------------------------------------------------------- eval-const-expr [84] 44.0% eval-prog [184] 56.0% [190] 4868(3.4%) 0(0.0%) temp85_0 (unknown source) compile15 [195] 100.0% ----------------------------------------------------------------------------------- loop [179] 16.7% for-loop [122] 83.3% [191] 2126(1.5%) 2126(1.5%) step ...ket-7.2/collects/racket/function.rkt:145:9 ----------------------------------------------------------------------------------- ??? [43] 25.8% pattern-substitute [110] 26.0% loop [179] 48.2% [192] 1248(0.9%) 1248(0.9%) ??? ...cket-7.2/collects/racket/function.rkt:93:12 ----------------------------------------------------------------------------------- for-loop [21] 24.4% loop [179] 27.5% for-loop [122] 48.1% [193] 1222(0.9%) 634(0.4%) foldl ....2/collects/racket/private/list.rkt:229:4 ??? [196] 24.4% merge2 [197] 23.7% ----------------------------------------------------------------------------------- ??? [189] 100.0% [194] 6384(4.5%) 5472(3.8%) for-loop ...rbie/master/src/core/egraph.rkt:222:26 update-en-expr [199] 14.3% ----------------------------------------------------------------------------------- temp85_0 [190] 100.0% [195] 4868(3.4%) 0(0.0%) compile15 (unknown source) temp91_0 [198] 100.0% ----------------------------------------------------------------------------------- foldl [193] 100.0% [196] 298(0.2%) 298(0.2%) ??? ...ies/herbie/master/src/core/matcher.rkt:26:7 ----------------------------------------------------------------------------------- foldl [193] 100.0% [197] 290(0.2%) 290(0.2%) merge2 ...s/herbie/master/src/core/ematch.rkt:24:0 ----------------------------------------------------------------------------------- compile15 [195] 100.0% [198] 4868(3.4%) 0(0.0%) temp91_0 (unknown source) temp118_0 [200] 87.9% compile-top9 [201] 6.4% expand [202] 5.7% ----------------------------------------------------------------------------------- loop! [134] 40.8% for-loop [194] 59.2% [199] 1540(1.1%) 1540(1.1%) update-en-expr ...master/src/core/egraph.rkt:207:0 ----------------------------------------------------------------------------------- temp91_0 [198] 100.0% [200] 4278(3.0%) 0(0.0%) temp118_0 (unknown source) expand-capturing-lifts [203] 100.0% ----------------------------------------------------------------------------------- temp91_0 [198] 100.0% [201] 312(0.2%) 0(0.0%) compile-top9 (unknown source) compile-forms33 [204] 100.0% ----------------------------------------------------------------------------------- temp91_0 [198] 100.0% [202] 278(0.2%) 278(0.2%) expand (unknown source) ----------------------------------------------------------------------------------- temp118_0 [200] 100.0% [203] 4278(3.0%) 0(0.0%) expand-capturing-lifts (unknown source) lambda-clause-expander [205] 100.0% ----------------------------------------------------------------------------------- compile-top9 [201] 100.0% [204] 312(0.2%) 0(0.0%) compile-forms33 (unknown source) for-loop [208] 100.0% ----------------------------------------------------------------------------------- expand-capturing-lifts [203] 100.0% [205] 4278(3.0%) 0(0.0%) lambda-clause-expander (unknown source) finish-bodys [207] 86.3% loop [206] 7.2% for-loop [208] 6.5% ----------------------------------------------------------------------------------- datum->syntax6 [33] 0.5% lambda-clause-expander [205] 0.5% loop [206] 3.0% apply-transformer52 [17] 3.8% syntax-e/no-taint [13] 27.7% loop [165] 64.5% [206] 7806(5.5%) 5342(3.7%) loop (unknown source) gf [209] 27.7% syntax-e [3] 3.8% loop [206] 3.0% dispatch-transformer41 [7] 0.5% ----------------------------------------------------------------------------------- lambda-clause-expander [205] 21.0% for-loop [208] 79.0% [207] 3690(2.6%) 0(0.0%) finish-bodys (unknown source) for-loop [208] 100.0% ----------------------------------------------------------------------------------- fallback-loop [26] 1.4% lambda-clause-expander [205] 6.5% compile-forms33 [204] 7.3% for-loop [208] 11.9% finish-bodys [207] 73.0% [208] 4280(3.0%) 928(0.6%) for-loop (unknown source) finish-bodys [207] 59.0% for-loop [208] 11.9% compile-module-linklet57 [212] 7.3% add-local-binding!39 [215] 6.5% syntax-e [3] 6.5% dispatch-transformer41 [7] 3.5% expand-implicit [10] 1.4% ----------------------------------------------------------------------------------- loop [206] 100.0% [209] 2464(1.7%) 300(0.2%) gf (unknown source) propagation-apply [210] 49.9% propagation-merge [211] 13.6% propagation-apply-shifted [213] 12.3% cache-or-reuse-set [214] 12.1% ----------------------------------------------------------------------------------- gf [209] 100.0% [210] 1230(0.9%) 1230(0.9%) propagation-apply (unknown source) ----------------------------------------------------------------------------------- gf [209] 100.0% [211] 334(0.2%) 334(0.2%) propagation-merge (unknown source) ----------------------------------------------------------------------------------- for-loop [208] 100.0% [212] 312(0.2%) 312(0.2%) compile-module-linklet57 (unknown source) ----------------------------------------------------------------------------------- gf [209] 100.0% [213] 302(0.2%) 302(0.2%) propagation-apply-shifted (unknown source) ----------------------------------------------------------------------------------- gf [209] 100.0% [214] 298(0.2%) 298(0.2%) cache-or-reuse-set (unknown source) ----------------------------------------------------------------------------------- for-loop [208] 100.0% [215] 278(0.2%) 278(0.2%) add-local-binding!39 (unknown source) -----------------------------------------------------------------------------------