48.111 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.015 * * * [progress]: [2/2] Setting up program. 0.017 * [progress]: [Phase 2 of 3] Improving. 0.017 * [simplify]: Simplifying using # : (* x (+ 1.0 (* y y))) 0.019 * * [simplify]: iteration 0 : 14 enodes (cost 3 ) 0.020 * * [simplify]: iteration 1 : 23 enodes (cost 3 ) 0.021 * * [simplify]: iteration 2 : 30 enodes (cost 3 ) 0.023 * * [simplify]: iteration 3 : 31 enodes (cost 3 ) 0.024 * * [simplify]: iteration 4 : 31 enodes (cost 3 ) 0.024 * [simplify]: Simplified to: (* x (+ 1.0 (* y y))) 0.024 * * [progress]: iteration 1 / 4 0.024 * * * [progress]: picking best candidate 0.025 * * * * [pick]: Picked # 0.025 * * * [progress]: localizing error 0.030 * * * [progress]: generating rewritten candidates 0.030 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.033 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2) 0.036 * * * [progress]: generating series expansions 0.036 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.036 * [approximate]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in (x y) around 0 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in y 0.036 * [taylor]: Taking taylor expansion of x in y 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.036 * [taylor]: Taking taylor expansion of y in y 0.036 * [taylor]: Taking taylor expansion of 1.0 in y 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.036 * [taylor]: Taking taylor expansion of y in x 0.036 * [taylor]: Taking taylor expansion of 1.0 in x 0.036 * [taylor]: Taking taylor expansion of (* x (+ (pow y 2) 1.0)) in x 0.036 * [taylor]: Taking taylor expansion of x in x 0.036 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in x 0.036 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.037 * [taylor]: Taking taylor expansion of y in x 0.037 * [taylor]: Taking taylor expansion of 1.0 in x 0.037 * [taylor]: Taking taylor expansion of 0 in y 0.038 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.038 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.038 * [taylor]: Taking taylor expansion of y in y 0.038 * [taylor]: Taking taylor expansion of 1.0 in y 0.039 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [taylor]: Taking taylor expansion of 0 in y 0.041 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in (x y) around 0 0.041 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.041 * [taylor]: Taking taylor expansion of y in y 0.041 * [taylor]: Taking taylor expansion of 1.0 in y 0.041 * [taylor]: Taking taylor expansion of x in y 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.042 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.042 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.042 * [taylor]: Taking taylor expansion of y in x 0.042 * [taylor]: Taking taylor expansion of 1.0 in x 0.042 * [taylor]: Taking taylor expansion of x in x 0.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.043 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.043 * [taylor]: Taking taylor expansion of y in y 0.043 * [taylor]: Taking taylor expansion of 1.0 in y 0.044 * [taylor]: Taking taylor expansion of 0 in y 0.047 * [taylor]: Taking taylor expansion of 0 in y 0.050 * [taylor]: Taking taylor expansion of 0 in y 0.054 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [taylor]: Taking taylor expansion of 0 in y 0.059 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in (x y) around 0 0.059 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in y 0.059 * [taylor]: Taking taylor expansion of -1 in y 0.059 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in y 0.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.059 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.059 * [taylor]: Taking taylor expansion of y in y 0.060 * [taylor]: Taking taylor expansion of 1.0 in y 0.060 * [taylor]: Taking taylor expansion of x in y 0.060 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.060 * [taylor]: Taking taylor expansion of -1 in x 0.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.060 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.060 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.060 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow y 2)) 1.0) x)) in x 0.061 * [taylor]: Taking taylor expansion of -1 in x 0.061 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y 2)) 1.0) x) in x 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in x 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.061 * [taylor]: Taking taylor expansion of y in x 0.061 * [taylor]: Taking taylor expansion of 1.0 in x 0.061 * [taylor]: Taking taylor expansion of x in x 0.061 * [taylor]: Taking taylor expansion of (* -1 (+ (/ 1 (pow y 2)) 1.0)) in y 0.061 * [taylor]: Taking taylor expansion of -1 in y 0.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.061 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.061 * [taylor]: Taking taylor expansion of y in y 0.062 * [taylor]: Taking taylor expansion of 1.0 in y 0.064 * [taylor]: Taking taylor expansion of 0 in y 0.067 * [taylor]: Taking taylor expansion of 0 in y 0.073 * [taylor]: Taking taylor expansion of 0 in y 0.079 * [taylor]: Taking taylor expansion of 0 in y 0.085 * [taylor]: Taking taylor expansion of 0 in y 0.086 * * * * [progress]: [ 2 / 2 ] generating series at (2 2) 0.086 * [approximate]: Taking taylor expansion of (+ (pow y 2) 1.0) in (y) around 0 0.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 1.0 in y 0.086 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.086 * [taylor]: Taking taylor expansion of y in y 0.086 * [taylor]: Taking taylor expansion of 1.0 in y 0.092 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.092 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.092 * [taylor]: Taking taylor expansion of y in y 0.092 * [taylor]: Taking taylor expansion of 1.0 in y 0.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.093 * [taylor]: Taking taylor expansion of y in y 0.093 * [taylor]: Taking taylor expansion of 1.0 in y 0.106 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in (y) around 0 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.107 * [taylor]: Taking taylor expansion of 1.0 in y 0.107 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.107 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.107 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.107 * [taylor]: Taking taylor expansion of y in y 0.108 * [taylor]: Taking taylor expansion of 1.0 in y 0.119 * * * [progress]: simplifying candidates 0.119 * [simplify]: Simplifying using # : (* x 1.0) (* x (* y y)) (* x (* y y)) (* x 1.0) (* 1.0 x) (* (* y y) x) (* (* y y) x) (* 1.0 x) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* x (- (* 1.0 1.0) (* (* y y) (* y y)))) (+ (pow 1.0 3) (pow (* y y) 3)) (+ (* 1.0 1.0) (- (* (* y y) (* y y)) (* 1.0 (* y y)))) (- (* 1.0 1.0) (* (* y y) (* y y))) (- 1.0 (* y y)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) (+ (pow y 2) 1.0) 0.122 * * [simplify]: iteration 0 : 77 enodes (cost 53 ) 0.124 * * [simplify]: iteration 1 : 243 enodes (cost 45 ) 0.128 * * [simplify]: iteration 2 : 652 enodes (cost 45 ) 0.140 * * [simplify]: iteration 3 : 2077 enodes (cost 43 ) 0.190 * * [simplify]: iteration 4 : 5002 enodes (cost 43 ) 0.191 * [simplify]: Simplified to: (* x 1.0) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x 1.0) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x (+ (pow 1.0 3) (pow (* y y) 3))) (* (* x (fma y y 1.0)) (- 1.0 (* y y))) (fma y (pow y 5) (pow 1.0 3)) (fma 1.0 (- 1.0 (* y y)) (pow y 4)) (* (fma y y 1.0) (- 1.0 (pow y 2))) (- 1.0 (* y y)) (* x 1.0) (* x (fma y y 1.0)) (* x (fma y y 1.0)) (fma y y 1.0) (fma y y 1.0) (fma y y 1.0) 0.191 * * * [progress]: adding candidates to table 0.213 * * [progress]: iteration 2 / 4 0.213 * * * [progress]: picking best candidate 0.217 * * * * [pick]: Picked # 0.218 * * * [progress]: localizing error 0.225 * * * [progress]: generating rewritten candidates 0.226 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.229 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.234 * * * [progress]: generating series expansions 0.234 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.234 * [approximate]: Taking taylor expansion of (* x (pow y 2)) in (x y) around 0 0.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.234 * [taylor]: Taking taylor expansion of x in y 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.235 * [taylor]: Taking taylor expansion of 0 in y 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.235 * [taylor]: Taking taylor expansion of y in y 0.236 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [taylor]: Taking taylor expansion of 0 in y 0.238 * [approximate]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in (x y) around 0 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.238 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.239 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.239 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.239 * [taylor]: Taking taylor expansion of x in x 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.239 * [taylor]: Taking taylor expansion of y in x 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.240 * [taylor]: Taking taylor expansion of y in y 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.244 * [taylor]: Taking taylor expansion of 0 in y 0.247 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [taylor]: Taking taylor expansion of 0 in y 0.251 * [approximate]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in (x y) around 0 0.251 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in y 0.251 * [taylor]: Taking taylor expansion of -1 in y 0.251 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.251 * [taylor]: Taking taylor expansion of x in y 0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.251 * [taylor]: Taking taylor expansion of y in y 0.251 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.251 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.252 * [taylor]: Taking taylor expansion of (/ -1 (* x (pow y 2))) in x 0.252 * [taylor]: Taking taylor expansion of -1 in x 0.252 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.252 * [taylor]: Taking taylor expansion of x in x 0.252 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.252 * [taylor]: Taking taylor expansion of y in x 0.253 * [taylor]: Taking taylor expansion of (/ -1 (pow y 2)) in y 0.253 * [taylor]: Taking taylor expansion of -1 in y 0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.253 * [taylor]: Taking taylor expansion of y in y 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.260 * [taylor]: Taking taylor expansion of 0 in y 0.263 * [taylor]: Taking taylor expansion of 0 in y 0.264 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.264 * [approximate]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in (x y) around 0 0.264 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in y 0.264 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.264 * [taylor]: Taking taylor expansion of 1.0 in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.264 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (+ (* x (pow y 2)) (* 1.0 x)) in x 0.264 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.264 * [taylor]: Taking taylor expansion of y in x 0.264 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.264 * [taylor]: Taking taylor expansion of 1.0 in x 0.264 * [taylor]: Taking taylor expansion of x in x 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [taylor]: Taking taylor expansion of 1.0 in y 0.268 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.271 * [approximate]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in (x y) around 0 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.271 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.271 * [taylor]: Taking taylor expansion of y in y 0.271 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.271 * [taylor]: Taking taylor expansion of 1.0 in y 0.271 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.271 * [taylor]: Taking taylor expansion of x in y 0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.271 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.271 * [taylor]: Taking taylor expansion of y in x 0.272 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.272 * [taylor]: Taking taylor expansion of 1.0 in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.272 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.272 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.272 * [taylor]: Taking taylor expansion of x in x 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.272 * [taylor]: Taking taylor expansion of y in x 0.273 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.273 * [taylor]: Taking taylor expansion of 1.0 in x 0.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.273 * [taylor]: Taking taylor expansion of x in x 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.273 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.273 * [taylor]: Taking taylor expansion of y in y 0.274 * [taylor]: Taking taylor expansion of 1.0 in y 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.290 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [taylor]: Taking taylor expansion of 0 in y 0.296 * [approximate]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in (x y) around 0 0.296 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in y 0.296 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in y 0.296 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in y 0.296 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in y 0.296 * [taylor]: Taking taylor expansion of x in y 0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.296 * [taylor]: Taking taylor expansion of y in y 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in y 0.297 * [taylor]: Taking taylor expansion of 1.0 in y 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.297 * [taylor]: Taking taylor expansion of x in y 0.297 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.297 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.297 * [taylor]: Taking taylor expansion of y in x 0.297 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.297 * [taylor]: Taking taylor expansion of 1.0 in x 0.297 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.297 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x)))) in x 0.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (* x (pow y 2))) (* 1.0 (/ 1 x))) in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 (* x (pow y 2))) in x 0.298 * [taylor]: Taking taylor expansion of (* x (pow y 2)) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.298 * [taylor]: Taking taylor expansion of y in x 0.298 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.299 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.299 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.299 * [taylor]: Taking taylor expansion of y in y 0.300 * [taylor]: Taking taylor expansion of 1.0 in y 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.320 * [taylor]: Taking taylor expansion of 0 in y 0.326 * [taylor]: Taking taylor expansion of 0 in y 0.327 * * * [progress]: simplifying candidates 0.327 * [simplify]: Simplifying using # : (* x y) (* x y) (+ (pow (* x (* y y)) 3) (pow (* x 1.0) 3)) (+ (* (* x (* y y)) (* x (* y y))) (- (* (* x 1.0) (* x 1.0)) (* (* x (* y y)) (* x 1.0)))) (- (* (* x (* y y)) (* x (* y y))) (* (* x 1.0) (* x 1.0))) (- (* x (* y y)) (* x 1.0)) (+ (* y y) 1.0) (+ (* y y) 1.0) (* x (pow y 2)) (* x (pow y 2)) (* x (pow y 2)) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.330 * * [simplify]: iteration 0 : 79 enodes (cost 47 ) 0.333 * * [simplify]: iteration 1 : 313 enodes (cost 40 ) 0.342 * * [simplify]: iteration 2 : 1169 enodes (cost 37 ) 0.370 * * [simplify]: iteration 3 : 4061 enodes (cost 36 ) 0.473 * * [simplify]: iteration 4 : 5001 enodes (cost 36 ) 0.474 * [simplify]: Simplified to: (* x y) (* x y) (+ (pow (* x (* y y)) 3) (pow (* x 1.0) 3)) (* (* x x) (- (fma 1.0 1.0 (pow y 4)) (* (pow y 2) 1.0))) (* (* x x) (- (pow y 4) (* 1.0 1.0))) (* x (- (pow y 2) 1.0)) (fma y y 1.0) (fma y y 1.0) (* x (* y y)) (* x (* y y)) (* x (* y y)) (* x 1.0) (* x (fma y y 1.0)) (* x (fma y y 1.0)) 0.474 * * * [progress]: adding candidates to table 0.496 * * [progress]: iteration 3 / 4 0.496 * * * [progress]: picking best candidate 0.498 * * * * [pick]: Picked # 0.498 * * * [progress]: localizing error 0.503 * * * [progress]: generating rewritten candidates 0.503 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.504 * * * [progress]: generating series expansions 0.504 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.504 * [approximate]: Taking taylor expansion of (fma (* x y) y (* 1.0 x)) in (x y) around 0 0.504 * [taylor]: Taking taylor expansion of (fma (* x y) y (* 1.0 x)) in y 0.504 * [taylor]: Rewrote expression to (+ (* (* x y) y) (* 1.0 x)) 0.504 * [taylor]: Taking taylor expansion of (* (* x y) y) in y 0.504 * [taylor]: Taking taylor expansion of (* x y) in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of y in y 0.504 * [taylor]: Taking taylor expansion of (* 1.0 x) in y 0.504 * [taylor]: Taking taylor expansion of 1.0 in y 0.504 * [taylor]: Taking taylor expansion of x in y 0.504 * [taylor]: Taking taylor expansion of (fma (* x y) y (* 1.0 x)) in x 0.504 * [taylor]: Rewrote expression to (+ (* (* x y) y) (* 1.0 x)) 0.504 * [taylor]: Taking taylor expansion of (* (* x y) y) in x 0.504 * [taylor]: Taking taylor expansion of (* x y) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of (fma (* x y) y (* 1.0 x)) in x 0.504 * [taylor]: Rewrote expression to (+ (* (* x y) y) (* 1.0 x)) 0.504 * [taylor]: Taking taylor expansion of (* (* x y) y) in x 0.504 * [taylor]: Taking taylor expansion of (* x y) in x 0.504 * [taylor]: Taking taylor expansion of x in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of y in x 0.504 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.504 * [taylor]: Taking taylor expansion of 1.0 in x 0.505 * [taylor]: Taking taylor expansion of x in x 0.505 * [taylor]: Taking taylor expansion of 0 in y 0.507 * [taylor]: Taking taylor expansion of (+ (pow y 2) 1.0) in y 0.507 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.507 * [taylor]: Taking taylor expansion of y in y 0.507 * [taylor]: Taking taylor expansion of 1.0 in y 0.509 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [taylor]: Taking taylor expansion of 0 in y 0.511 * [approximate]: Taking taylor expansion of (fma (/ 1 (* x y)) (/ 1 y) (/ 1.0 x)) in (x y) around 0 0.511 * [taylor]: Taking taylor expansion of (fma (/ 1 (* x y)) (/ 1 y) (/ 1.0 x)) in y 0.511 * [taylor]: Rewrote expression to (+ (* (/ 1 (* x y)) (/ 1 y)) (/ 1.0 x)) 0.511 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (/ 1 y)) in y 0.511 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.511 * [taylor]: Taking taylor expansion of (* x y) in y 0.511 * [taylor]: Taking taylor expansion of x in y 0.511 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.512 * [taylor]: Taking taylor expansion of y in y 0.512 * [taylor]: Taking taylor expansion of (/ 1.0 x) in y 0.512 * [taylor]: Taking taylor expansion of 1.0 in y 0.512 * [taylor]: Taking taylor expansion of x in y 0.512 * [taylor]: Taking taylor expansion of (fma (/ 1 (* x y)) (/ 1 y) (/ 1.0 x)) in x 0.512 * [taylor]: Rewrote expression to (+ (* (/ 1 (* x y)) (/ 1 y)) (/ 1.0 x)) 0.512 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (/ 1 y)) in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.512 * [taylor]: Taking taylor expansion of (* x y) in x 0.512 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.512 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.512 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (fma (/ 1 (* x y)) (/ 1 y) (/ 1.0 x)) in x 0.513 * [taylor]: Rewrote expression to (+ (* (/ 1 (* x y)) (/ 1 y)) (/ 1.0 x)) 0.513 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (/ 1 y)) in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.513 * [taylor]: Taking taylor expansion of (* x y) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.513 * [taylor]: Taking taylor expansion of y in x 0.513 * [taylor]: Taking taylor expansion of (/ 1.0 x) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.514 * [taylor]: Taking taylor expansion of x in x 0.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.514 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.514 * [taylor]: Taking taylor expansion of y in y 0.515 * [taylor]: Taking taylor expansion of 1.0 in y 0.516 * [taylor]: Taking taylor expansion of 0 in y 0.522 * [taylor]: Taking taylor expansion of 0 in y 0.526 * [taylor]: Taking taylor expansion of 0 in y 0.530 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [taylor]: Taking taylor expansion of 0 in y 0.535 * [approximate]: Taking taylor expansion of (fma (/ 1 (* x y)) (/ -1 y) (/ -1.0 x)) in (x y) around 0 0.535 * [taylor]: Taking taylor expansion of (fma (/ 1 (* x y)) (/ -1 y) (/ -1.0 x)) in y 0.535 * [taylor]: Rewrote expression to (+ (* (/ 1 (* x y)) (/ -1 y)) (/ -1.0 x)) 0.536 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (/ -1 y)) in y 0.536 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.536 * [taylor]: Taking taylor expansion of (* x y) in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (/ -1 y) in y 0.536 * [taylor]: Taking taylor expansion of -1 in y 0.536 * [taylor]: Taking taylor expansion of y in y 0.536 * [taylor]: Taking taylor expansion of (/ -1.0 x) in y 0.536 * [taylor]: Taking taylor expansion of -1.0 in y 0.536 * [taylor]: Taking taylor expansion of x in y 0.537 * [taylor]: Taking taylor expansion of (fma (/ 1 (* x y)) (/ -1 y) (/ -1.0 x)) in x 0.537 * [taylor]: Rewrote expression to (+ (* (/ 1 (* x y)) (/ -1 y)) (/ -1.0 x)) 0.537 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (/ -1 y)) in x 0.537 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.537 * [taylor]: Taking taylor expansion of (* x y) in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.537 * [taylor]: Taking taylor expansion of -1 in x 0.537 * [taylor]: Taking taylor expansion of y in x 0.537 * [taylor]: Taking taylor expansion of (/ -1.0 x) in x 0.537 * [taylor]: Taking taylor expansion of -1.0 in x 0.537 * [taylor]: Taking taylor expansion of x in x 0.537 * [taylor]: Taking taylor expansion of (fma (/ 1 (* x y)) (/ -1 y) (/ -1.0 x)) in x 0.538 * [taylor]: Rewrote expression to (+ (* (/ 1 (* x y)) (/ -1 y)) (/ -1.0 x)) 0.538 * [taylor]: Taking taylor expansion of (* (/ 1 (* x y)) (/ -1 y)) in x 0.538 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.538 * [taylor]: Taking taylor expansion of (* x y) in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (/ -1 y) in x 0.538 * [taylor]: Taking taylor expansion of -1 in x 0.538 * [taylor]: Taking taylor expansion of y in x 0.538 * [taylor]: Taking taylor expansion of (/ -1.0 x) in x 0.538 * [taylor]: Taking taylor expansion of -1.0 in x 0.538 * [taylor]: Taking taylor expansion of x in x 0.539 * [taylor]: Taking taylor expansion of (- (+ (/ 1 (pow y 2)) 1.0)) in y 0.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) 1.0) in y 0.539 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.539 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.539 * [taylor]: Taking taylor expansion of y in y 0.539 * [taylor]: Taking taylor expansion of 1.0 in y 0.541 * [taylor]: Taking taylor expansion of 0 in y 0.544 * [taylor]: Taking taylor expansion of 0 in y 0.548 * [taylor]: Taking taylor expansion of 0 in y 0.553 * [taylor]: Taking taylor expansion of 0 in y 0.558 * [taylor]: Taking taylor expansion of 0 in y 0.559 * * * [progress]: simplifying candidates 0.559 * [simplify]: Simplifying using # : (* (* x y) y) (* 1.0 x) (+ (* x (pow y 2)) (* 1.0 x)) (+ (* x (pow y 2)) (* 1.0 x)) 0.561 * * [simplify]: iteration 0 : 20 enodes (cost 9 ) 0.563 * * [simplify]: iteration 1 : 43 enodes (cost 9 ) 0.564 * * [simplify]: iteration 2 : 92 enodes (cost 7 ) 0.566 * * [simplify]: iteration 3 : 208 enodes (cost 7 ) 0.573 * * [simplify]: iteration 4 : 631 enodes (cost 7 ) 0.600 * * [simplify]: iteration 5 : 3307 enodes (cost 7 ) 0.713 * * [simplify]: iteration 6 : 5001 enodes (cost 7 ) 0.714 * [simplify]: Simplified to: (* (* x y) y) (* 1.0 x) (* (fma y y 1.0) x) (* (fma y y 1.0) x) 0.714 * * * [progress]: adding candidates to table 0.719 * [progress]: [Phase 3 of 3] Extracting. 0.719 * * [regime]: Finding splitpoints for: (# #) 0.720 * * * [regime-changes]: Trying 5 branch expressions: ((* y y) (+ 1.0 (* y y)) (* x (+ 1.0 (* y y))) y x) 0.720 * * * * [regimes]: Trying to branch on (* y y) from (# #) 0.729 * * * * [regimes]: Trying to branch on (+ 1.0 (* y y)) from (# #) 0.741 * * * * [regimes]: Trying to branch on (* x (+ 1.0 (* y y))) from (# #) 0.752 * * * * [regimes]: Trying to branch on y from (# #) 0.762 * * * * [regimes]: Trying to branch on x from (# #) 0.775 * * * [regime]: Found split indices: #