88.740 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.081 * * * [progress]: [2/2] Setting up program. 0.087 * [progress]: [Phase 2 of 3] Improving. 0.088 * [simplify]: Simplifying: (/ (+ x y) (+ y y)) 0.088 * * [simplify]: iteration 0: 5 enodes 0.090 * * [simplify]: iteration 1: 8 enodes 0.093 * * [simplify]: iteration 2: 11 enodes 0.097 * * [simplify]: iteration complete: 11 enodes 0.097 * * [simplify]: Extracting #0: cost 1 inf + 0 0.097 * * [simplify]: Extracting #1: cost 5 inf + 0 0.097 * * [simplify]: Extracting #2: cost 6 inf + 1 0.097 * * [simplify]: Extracting #3: cost 2 inf + 86 0.098 * * [simplify]: Extracting #4: cost 0 inf + 291 0.098 * [simplify]: Simplified to: (/ (+ x y) (+ y y)) 0.099 * * [progress]: iteration 1 / 4 0.099 * * * [progress]: picking best candidate 0.105 * * * * [pick]: Picked # 0.106 * * * [progress]: localizing error 0.121 * * * [progress]: generating rewritten candidates 0.121 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.181 * * * [progress]: generating series expansions 0.181 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.182 * [backup-simplify]: Simplify (/ (+ x y) (+ y y)) into (* 1/2 (/ (+ x y) y)) 0.182 * [approximate]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in (x y) around 0 0.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in y 0.182 * [taylor]: Taking taylor expansion of 1/2 in y 0.182 * [backup-simplify]: Simplify 1/2 into 1/2 0.182 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in y 0.182 * [taylor]: Taking taylor expansion of (+ x y) in y 0.182 * [taylor]: Taking taylor expansion of x in y 0.182 * [backup-simplify]: Simplify x into x 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [taylor]: Taking taylor expansion of y in y 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (+ x 0) into x 0.182 * [backup-simplify]: Simplify (/ x 1) into x 0.182 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.182 * [taylor]: Taking taylor expansion of 1/2 in x 0.182 * [backup-simplify]: Simplify 1/2 into 1/2 0.182 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.182 * [taylor]: Taking taylor expansion of (+ x y) in x 0.182 * [taylor]: Taking taylor expansion of x in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [backup-simplify]: Simplify (+ 0 y) into y 0.183 * [backup-simplify]: Simplify (/ y y) into 1 0.183 * [taylor]: Taking taylor expansion of (* 1/2 (/ (+ x y) y)) in x 0.183 * [taylor]: Taking taylor expansion of 1/2 in x 0.183 * [backup-simplify]: Simplify 1/2 into 1/2 0.183 * [taylor]: Taking taylor expansion of (/ (+ x y) y) in x 0.183 * [taylor]: Taking taylor expansion of (+ x y) in x 0.183 * [taylor]: Taking taylor expansion of x in x 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [taylor]: Taking taylor expansion of y in x 0.183 * [backup-simplify]: Simplify y into y 0.183 * [backup-simplify]: Simplify (+ 0 y) into y 0.183 * [backup-simplify]: Simplify (/ y y) into 1 0.184 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.184 * [taylor]: Taking taylor expansion of 1/2 in y 0.184 * [backup-simplify]: Simplify 1/2 into 1/2 0.184 * [backup-simplify]: Simplify (+ 1 0) into 1 0.185 * [backup-simplify]: Simplify (- (/ 1 y) (+ (* 1 (/ 0 y)))) into (/ 1 y) 0.185 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 y)) (* 0 1)) into (* 1/2 (/ 1 y)) 0.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 0.185 * [taylor]: Taking taylor expansion of 1/2 in y 0.185 * [backup-simplify]: Simplify 1/2 into 1/2 0.185 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.185 * [taylor]: Taking taylor expansion of y in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 0.186 * [backup-simplify]: Simplify 1/2 into 1/2 0.186 * [backup-simplify]: Simplify 1/2 into 1/2 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in y 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.191 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* 1 (/ 0 y)) (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in y 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 0.196 * [backup-simplify]: Simplify (/ (+ (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 y))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.196 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.196 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.196 * [taylor]: Taking taylor expansion of 1/2 in y 0.197 * [backup-simplify]: Simplify 1/2 into 1/2 0.197 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify (/ 1 1) into 1 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.197 * [taylor]: Taking taylor expansion of x in y 0.197 * [backup-simplify]: Simplify x into x 0.197 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.197 * [taylor]: Taking taylor expansion of y in y 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.197 * [taylor]: Taking taylor expansion of 1/2 in x 0.197 * [backup-simplify]: Simplify 1/2 into 1/2 0.197 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.198 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.198 * [taylor]: Taking taylor expansion of x in x 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.198 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.198 * [taylor]: Taking taylor expansion of 1/2 in x 0.198 * [backup-simplify]: Simplify 1/2 into 1/2 0.198 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.198 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.198 * [taylor]: Taking taylor expansion of y in x 0.198 * [backup-simplify]: Simplify y into y 0.199 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.199 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.199 * [taylor]: Taking taylor expansion of x in x 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [backup-simplify]: Simplify y into y 0.200 * [backup-simplify]: Simplify (+ 0 1) into 1 0.200 * [backup-simplify]: Simplify (* 1 y) into y 0.200 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.200 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.200 * [taylor]: Taking taylor expansion of 1/2 in y 0.200 * [backup-simplify]: Simplify 1/2 into 1/2 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.202 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.202 * [taylor]: Taking taylor expansion of 1/2 in y 0.202 * [backup-simplify]: Simplify 1/2 into 1/2 0.202 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in y 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1/2 into 1/2 0.206 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.206 * [backup-simplify]: Simplify 1/2 into 1/2 0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.210 * [taylor]: Taking taylor expansion of 0 in y 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in y 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.226 * [backup-simplify]: Simplify (/ (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- y)) (/ 1 (- y)))) into (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) 0.226 * [approximate]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in y 0.226 * [taylor]: Taking taylor expansion of 1/2 in y 0.226 * [backup-simplify]: Simplify 1/2 into 1/2 0.226 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 0.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.227 * [taylor]: Taking taylor expansion of 1/2 in x 0.227 * [backup-simplify]: Simplify 1/2 into 1/2 0.227 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.227 * [taylor]: Taking taylor expansion of y in x 0.227 * [backup-simplify]: Simplify y into y 0.227 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.227 * [taylor]: Taking taylor expansion of x in x 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [backup-simplify]: Simplify y into y 0.228 * [taylor]: Taking taylor expansion of (* 1/2 (* (+ (/ 1 y) (/ 1 x)) y)) in x 0.228 * [taylor]: Taking taylor expansion of 1/2 in x 0.228 * [backup-simplify]: Simplify 1/2 into 1/2 0.228 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) y) in x 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.228 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [backup-simplify]: Simplify y into y 0.228 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.228 * [taylor]: Taking taylor expansion of x in x 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [backup-simplify]: Simplify y into y 0.233 * [backup-simplify]: Simplify (+ 0 1) into 1 0.233 * [backup-simplify]: Simplify (* 1 y) into y 0.233 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 0.233 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 0.233 * [taylor]: Taking taylor expansion of 1/2 in y 0.233 * [backup-simplify]: Simplify 1/2 into 1/2 0.233 * [taylor]: Taking taylor expansion of y in y 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 y) y)) into 1 0.235 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 y)) into 1/2 0.235 * [taylor]: Taking taylor expansion of 1/2 in y 0.235 * [backup-simplify]: Simplify 1/2 into 1/2 0.236 * [backup-simplify]: Simplify (* 1/2 0) into 0 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (* 0 y))) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 y))) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1/2 into 1/2 0.239 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 0.239 * [backup-simplify]: Simplify 1/2 into 1/2 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 y)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 y)))) into 0 0.243 * [taylor]: Taking taylor expansion of 0 in y 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 y))))) into 0 0.249 * [taylor]: Taking taylor expansion of 0 in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 0.249 * * * [progress]: simplifying candidates 0.252 * [simplify]: Simplifying: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (- (log (+ x y)) (log (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (/ (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ y y) (+ y y)) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (- (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* (cbrt y) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 1) (/ (cbrt (+ x y)) (+ y y)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (cbrt y)) (/ (cbrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) (+ 1 1)) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (+ 1 1)) (/ (cbrt (+ x y)) y) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) 2) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (* (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) 1) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) (+ 1 1)) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (* (cbrt y) (cbrt y))) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 1) (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (+ (* (cbrt y) (cbrt y)) (* (cbrt y) (cbrt y)))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) (+ 1 1)) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 (+ 1 1)) (/ (+ x y) y) (/ 1 2) (/ (+ x y) y) (/ 1 (+ y y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (/ (+ x y) 1) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (/ (+ x y) 1) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) (+ 1 1)) (/ (+ x y) (+ 1 1)) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (+ (pow y 3) (pow y 3))) (/ (+ x y) (- (* y y) (* y y))) (* (+ y y) (+ (* x x) (- (* y y) (* x y)))) (* (+ y y) (- x y)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 0.256 * * [simplify]: iteration 0: 114 enodes 0.312 * * [simplify]: iteration 1: 239 enodes 0.472 * * [simplify]: iteration 2: 677 enodes 1.585 * * [simplify]: iteration 3: 2635 enodes 3.462 * * [simplify]: iteration complete: 5010 enodes 3.462 * * [simplify]: Extracting #0: cost 69 inf + 0 3.466 * * [simplify]: Extracting #1: cost 805 inf + 2 3.476 * * [simplify]: Extracting #2: cost 1515 inf + 2322 3.513 * * [simplify]: Extracting #3: cost 1135 inf + 63826 3.595 * * [simplify]: Extracting #4: cost 167 inf + 229817 3.692 * * [simplify]: Extracting #5: cost 0 inf + 264926 3.794 * * [simplify]: Extracting #6: cost 0 inf + 264886 3.946 * [simplify]: Simplified to: (expm1 (/ (+ x y) (+ y y))) (log1p (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (log (/ (+ x y) (+ y y))) (exp (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (* (cbrt (/ (+ x y) (+ y y))) (cbrt (/ (+ x y) (+ y y)))) (cbrt (/ (+ x y) (+ y y))) (* (* (/ (+ x y) (+ y y)) (/ (+ x y) (+ y y))) (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (sqrt (/ (+ x y) (+ y y))) (- (+ x y)) (* -2 y) (* (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (cbrt (+ x y)) (cbrt (+ y y)))) (/ (cbrt (+ x y)) (cbrt (+ y y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt (+ y y))) (/ (cbrt (+ x y)) (sqrt (+ y y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (* (/ (cbrt (+ x y)) (cbrt y)) (/ (cbrt (+ x y)) (cbrt y))) (/ (cbrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (* (cbrt (+ x y)) (cbrt (+ x y))) (/ (cbrt (+ x y)) (+ y y)) (/ (cbrt (+ x y)) (/ (cbrt y) (cbrt (+ x y)))) (/ (cbrt (+ x y)) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (sqrt y)) (/ (cbrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (* (cbrt (+ x y)) (cbrt (+ x y))) y) (/ (cbrt (+ x y)) 2) (* (/ (cbrt (+ x y)) 2) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (* (/ (cbrt (+ x y)) 2) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (* (/ (cbrt (+ x y)) 2) (cbrt (+ x y))) (/ (cbrt (+ x y)) y) (/ (sqrt (+ x y)) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (sqrt (+ x y)) (cbrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (/ (sqrt (+ x y)) (sqrt (+ y y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (/ (sqrt (+ x y)) (cbrt y)) (cbrt y)) (/ (sqrt (+ x y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (sqrt (+ x y)) (/ (sqrt (+ x y)) (+ y y)) (/ (sqrt (+ x y)) (cbrt y)) (/ (/ (sqrt (+ x y)) (cbrt y)) (+ (cbrt y) (cbrt y))) (/ (sqrt (+ x y)) (sqrt y)) (/ (sqrt (+ x y)) (+ (sqrt y) (sqrt y))) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (sqrt (+ x y)) 2) (/ (sqrt (+ x y)) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ (/ 1 (cbrt (+ y y))) (cbrt (+ y y))) (/ (+ x y) (cbrt (+ y y))) (/ 1 (sqrt (+ y y))) (/ (+ x y) (sqrt (+ y y))) 1 (/ (+ x y) (+ y y)) (/ (/ 1 (cbrt y)) (cbrt y)) (/ (+ x y) (+ (cbrt y) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) 1 (/ (+ x y) (+ y y)) (/ 1 (cbrt y)) (/ (+ x y) (* (+ (cbrt y) (cbrt y)) (cbrt y))) (/ 1 (sqrt y)) (/ (+ x y) (+ (sqrt y) (sqrt y))) (/ 1 y) (/ (+ x y) 2) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) 1/2 (/ (+ x y) y) (/ 1/2 y) (/ (+ y y) (+ x y)) (/ (+ x y) (* (cbrt (+ y y)) (cbrt (+ y y)))) (/ (+ x y) (sqrt (+ y y))) (+ x y) (/ (+ x y) (* (cbrt y) (cbrt y))) (/ (+ x y) (sqrt y)) (+ x y) (/ (+ x y) (cbrt y)) (/ (+ x y) (sqrt y)) (/ (+ x y) y) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ x y) 2) (/ (+ y y) (cbrt (+ x y))) (/ (+ y y) (sqrt (+ x y))) (/ (+ y y) (+ x y)) (/ (+ y y) (+ x y)) (/ (+ x y) (* (* y y) (+ y y))) (/ (+ x y) 0) (* y (+ (fma (- y x) y (* x x)) (fma (- y x) y (* x x)))) (+ (* y (- x y)) (* y (- x y))) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2) 4.015 * * * [progress]: adding candidates to table 4.654 * * [progress]: iteration 2 / 4 4.654 * * * [progress]: picking best candidate 4.660 * * * * [pick]: Picked # 4.660 * * * [progress]: localizing error 4.674 * * * [progress]: generating rewritten candidates 4.675 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 4.676 * * * [progress]: generating series expansions 4.676 * * * * [progress]: [ 1 / 1 ] generating series at (2) 4.676 * [backup-simplify]: Simplify (fma 1/2 (/ x y) 1/2) into (fma 1/2 (/ x y) 1/2) 4.676 * [approximate]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in (x y) around 0 4.676 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in y 4.676 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 4.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in y 4.676 * [taylor]: Taking taylor expansion of 1/2 in y 4.676 * [backup-simplify]: Simplify 1/2 into 1/2 4.676 * [taylor]: Taking taylor expansion of (/ x y) in y 4.676 * [taylor]: Taking taylor expansion of x in y 4.676 * [backup-simplify]: Simplify x into x 4.676 * [taylor]: Taking taylor expansion of y in y 4.676 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [backup-simplify]: Simplify (/ x 1) into x 4.677 * [taylor]: Taking taylor expansion of 1/2 in y 4.677 * [backup-simplify]: Simplify 1/2 into 1/2 4.677 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 4.677 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 4.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.677 * [taylor]: Taking taylor expansion of 1/2 in x 4.677 * [backup-simplify]: Simplify 1/2 into 1/2 4.677 * [taylor]: Taking taylor expansion of (/ x y) in x 4.677 * [taylor]: Taking taylor expansion of x in x 4.677 * [backup-simplify]: Simplify 0 into 0 4.677 * [backup-simplify]: Simplify 1 into 1 4.677 * [taylor]: Taking taylor expansion of y in x 4.677 * [backup-simplify]: Simplify y into y 4.677 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.677 * [taylor]: Taking taylor expansion of 1/2 in x 4.677 * [backup-simplify]: Simplify 1/2 into 1/2 4.677 * [taylor]: Taking taylor expansion of (fma 1/2 (/ x y) 1/2) in x 4.677 * [taylor]: Rewrote expression to (+ (* 1/2 (/ x y)) 1/2) 4.677 * [taylor]: Taking taylor expansion of (* 1/2 (/ x y)) in x 4.678 * [taylor]: Taking taylor expansion of 1/2 in x 4.678 * [backup-simplify]: Simplify 1/2 into 1/2 4.678 * [taylor]: Taking taylor expansion of (/ x y) in x 4.678 * [taylor]: Taking taylor expansion of x in x 4.678 * [backup-simplify]: Simplify 0 into 0 4.678 * [backup-simplify]: Simplify 1 into 1 4.678 * [taylor]: Taking taylor expansion of y in x 4.678 * [backup-simplify]: Simplify y into y 4.678 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 4.678 * [taylor]: Taking taylor expansion of 1/2 in x 4.678 * [backup-simplify]: Simplify 1/2 into 1/2 4.679 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.679 * [taylor]: Taking taylor expansion of 1/2 in y 4.679 * [backup-simplify]: Simplify 1/2 into 1/2 4.679 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y) 4.679 * [backup-simplify]: Simplify (+ (/ 1/2 y) 0) into (* 1/2 (/ 1 y)) 4.679 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 y)) in y 4.679 * [taylor]: Taking taylor expansion of 1/2 in y 4.679 * [backup-simplify]: Simplify 1/2 into 1/2 4.679 * [taylor]: Taking taylor expansion of (/ 1 y) in y 4.679 * [taylor]: Taking taylor expansion of y in y 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 1 into 1 4.680 * [backup-simplify]: Simplify (/ 1 1) into 1 4.680 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 4.680 * [backup-simplify]: Simplify 1/2 into 1/2 4.680 * [backup-simplify]: Simplify 1/2 into 1/2 4.681 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)))) into 0 4.681 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 y))) into 0 4.682 * [backup-simplify]: Simplify (+ 0 0) into 0 4.682 * [taylor]: Taking taylor expansion of 0 in y 4.682 * [backup-simplify]: Simplify 0 into 0 4.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.683 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.684 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 4.685 * [backup-simplify]: Simplify (+ 0 0) into 0 4.685 * [taylor]: Taking taylor expansion of 0 in y 4.685 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.687 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify 0 into 0 4.687 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 4.688 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 4.689 * [backup-simplify]: Simplify (+ 0 0) into 0 4.689 * [taylor]: Taking taylor expansion of 0 in y 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify (+ 1/2 (* 1/2 (* (/ 1 y) x))) into (+ (* 1/2 (/ x y)) 1/2) 4.689 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 x) (/ 1 y)) 1/2) into (fma 1/2 (/ y x) 1/2) 4.689 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 4.689 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 4.690 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.690 * [taylor]: Taking taylor expansion of 1/2 in y 4.690 * [backup-simplify]: Simplify 1/2 into 1/2 4.690 * [taylor]: Taking taylor expansion of (/ y x) in y 4.690 * [taylor]: Taking taylor expansion of y in y 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 1 into 1 4.690 * [taylor]: Taking taylor expansion of x in y 4.690 * [backup-simplify]: Simplify x into x 4.690 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.690 * [taylor]: Taking taylor expansion of 1/2 in y 4.690 * [backup-simplify]: Simplify 1/2 into 1/2 4.690 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 4.690 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.690 * [taylor]: Taking taylor expansion of 1/2 in x 4.690 * [backup-simplify]: Simplify 1/2 into 1/2 4.690 * [taylor]: Taking taylor expansion of (/ y x) in x 4.690 * [taylor]: Taking taylor expansion of y in x 4.690 * [backup-simplify]: Simplify y into y 4.690 * [taylor]: Taking taylor expansion of x in x 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify (/ y 1) into y 4.691 * [taylor]: Taking taylor expansion of 1/2 in x 4.691 * [backup-simplify]: Simplify 1/2 into 1/2 4.691 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 4.691 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.691 * [taylor]: Taking taylor expansion of 1/2 in x 4.691 * [backup-simplify]: Simplify 1/2 into 1/2 4.691 * [taylor]: Taking taylor expansion of (/ y x) in x 4.691 * [taylor]: Taking taylor expansion of y in x 4.691 * [backup-simplify]: Simplify y into y 4.691 * [taylor]: Taking taylor expansion of x in x 4.691 * [backup-simplify]: Simplify 0 into 0 4.691 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify (/ y 1) into y 4.691 * [taylor]: Taking taylor expansion of 1/2 in x 4.691 * [backup-simplify]: Simplify 1/2 into 1/2 4.691 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.691 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 4.691 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.692 * [taylor]: Taking taylor expansion of 1/2 in y 4.692 * [backup-simplify]: Simplify 1/2 into 1/2 4.692 * [taylor]: Taking taylor expansion of y in y 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 1 into 1 4.692 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.692 * [backup-simplify]: Simplify 0 into 0 4.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 4.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 4.694 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.694 * [taylor]: Taking taylor expansion of 1/2 in y 4.694 * [backup-simplify]: Simplify 1/2 into 1/2 4.694 * [backup-simplify]: Simplify 1/2 into 1/2 4.695 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.695 * [backup-simplify]: Simplify 1/2 into 1/2 4.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 4.697 * [backup-simplify]: Simplify (+ 0 0) into 0 4.697 * [taylor]: Taking taylor expansion of 0 in y 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 0 into 0 4.699 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.699 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.702 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.702 * [backup-simplify]: Simplify (+ 0 0) into 0 4.702 * [taylor]: Taking taylor expansion of 0 in y 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 y) (/ 1 (/ 1 x)))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 4.703 * [backup-simplify]: Simplify (fma 1/2 (/ (/ 1 (- x)) (/ 1 (- y))) 1/2) into (fma 1/2 (/ y x) 1/2) 4.703 * [approximate]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in (x y) around 0 4.703 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in y 4.703 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.703 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in y 4.703 * [taylor]: Taking taylor expansion of 1/2 in y 4.703 * [backup-simplify]: Simplify 1/2 into 1/2 4.703 * [taylor]: Taking taylor expansion of (/ y x) in y 4.703 * [taylor]: Taking taylor expansion of y in y 4.703 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify 1 into 1 4.703 * [taylor]: Taking taylor expansion of x in y 4.703 * [backup-simplify]: Simplify x into x 4.703 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 4.703 * [taylor]: Taking taylor expansion of 1/2 in y 4.703 * [backup-simplify]: Simplify 1/2 into 1/2 4.703 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 4.704 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.704 * [taylor]: Taking taylor expansion of 1/2 in x 4.704 * [backup-simplify]: Simplify 1/2 into 1/2 4.704 * [taylor]: Taking taylor expansion of (/ y x) in x 4.704 * [taylor]: Taking taylor expansion of y in x 4.704 * [backup-simplify]: Simplify y into y 4.704 * [taylor]: Taking taylor expansion of x in x 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 1 into 1 4.704 * [backup-simplify]: Simplify (/ y 1) into y 4.704 * [taylor]: Taking taylor expansion of 1/2 in x 4.704 * [backup-simplify]: Simplify 1/2 into 1/2 4.704 * [taylor]: Taking taylor expansion of (fma 1/2 (/ y x) 1/2) in x 4.704 * [taylor]: Rewrote expression to (+ (* 1/2 (/ y x)) 1/2) 4.704 * [taylor]: Taking taylor expansion of (* 1/2 (/ y x)) in x 4.704 * [taylor]: Taking taylor expansion of 1/2 in x 4.704 * [backup-simplify]: Simplify 1/2 into 1/2 4.704 * [taylor]: Taking taylor expansion of (/ y x) in x 4.704 * [taylor]: Taking taylor expansion of y in x 4.704 * [backup-simplify]: Simplify y into y 4.704 * [taylor]: Taking taylor expansion of x in x 4.704 * [backup-simplify]: Simplify 0 into 0 4.704 * [backup-simplify]: Simplify 1 into 1 4.705 * [backup-simplify]: Simplify (/ y 1) into y 4.705 * [taylor]: Taking taylor expansion of 1/2 in x 4.705 * [backup-simplify]: Simplify 1/2 into 1/2 4.705 * [backup-simplify]: Simplify (* 1/2 y) into (* 1/2 y) 4.705 * [backup-simplify]: Simplify (+ (* 1/2 y) 0) into (* 1/2 y) 4.705 * [taylor]: Taking taylor expansion of (* 1/2 y) in y 4.705 * [taylor]: Taking taylor expansion of 1/2 in y 4.705 * [backup-simplify]: Simplify 1/2 into 1/2 4.705 * [taylor]: Taking taylor expansion of y in y 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 1 into 1 4.706 * [backup-simplify]: Simplify (* 1/2 0) into 0 4.706 * [backup-simplify]: Simplify 0 into 0 4.707 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)))) into 0 4.707 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 y)) into 0 4.707 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2 4.707 * [taylor]: Taking taylor expansion of 1/2 in y 4.708 * [backup-simplify]: Simplify 1/2 into 1/2 4.708 * [backup-simplify]: Simplify 1/2 into 1/2 4.708 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2 4.708 * [backup-simplify]: Simplify 1/2 into 1/2 4.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 y))) into 0 4.711 * [backup-simplify]: Simplify (+ 0 0) into 0 4.711 * [taylor]: Taking taylor expansion of 0 in y 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* y (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.715 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 4.716 * [backup-simplify]: Simplify (+ 0 0) into 0 4.716 * [taylor]: Taking taylor expansion of 0 in y 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify (+ (* 1/2 (* (/ 1 (- y)) (/ 1 (/ 1 (- x))))) 1/2) into (+ (* 1/2 (/ x y)) 1/2) 4.716 * * * [progress]: simplifying candidates 4.717 * [simplify]: Simplifying: (expm1 (fma 1/2 (/ x y) 1/2)) (log1p (fma 1/2 (/ x y) 1/2)) (* 1/2 (/ x y)) (log (fma 1/2 (/ x y) 1/2)) (exp (fma 1/2 (/ x y) 1/2)) (* (cbrt (fma 1/2 (/ x y) 1/2)) (cbrt (fma 1/2 (/ x y) 1/2))) (cbrt (fma 1/2 (/ x y) 1/2)) (* (* (fma 1/2 (/ x y) 1/2) (fma 1/2 (/ x y) 1/2)) (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (sqrt (fma 1/2 (/ x y) 1/2)) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) (+ (* 1/2 (/ x y)) 1/2) 4.717 * * [simplify]: iteration 0: 16 enodes 4.724 * * [simplify]: iteration 1: 24 enodes 4.736 * * [simplify]: iteration 2: 58 enodes 4.780 * * [simplify]: iteration 3: 203 enodes 5.094 * * [simplify]: iteration 4: 846 enodes 10.478 * * [simplify]: iteration 5: 4612 enodes 17.088 * * [simplify]: iteration complete: 5000 enodes 17.096 * * [simplify]: Extracting #0: cost 10 inf + 0 17.096 * * [simplify]: Extracting #1: cost 97 inf + 0 17.120 * * [simplify]: Extracting #2: cost 773 inf + 1065 17.313 * * [simplify]: Extracting #3: cost 202 inf + 89384 17.390 * * [simplify]: Extracting #4: cost 10 inf + 129834 17.532 * * [simplify]: Extracting #5: cost 1 inf + 130953 17.719 * * [simplify]: Extracting #6: cost 0 inf + 131262 17.815 * [simplify]: Simplified to: (expm1 (fma (/ 1/2 y) x 1/2)) (log1p (fma (/ 1/2 y) x 1/2)) (* 1/2 (/ x y)) (log (fma (/ 1/2 y) x 1/2)) (exp (fma (/ 1/2 y) x 1/2)) (* (cbrt (fma (/ 1/2 y) x 1/2)) (cbrt (fma (/ 1/2 y) x 1/2))) (cbrt (fma (/ 1/2 y) x 1/2)) (* (fma (/ 1/2 y) x 1/2) (* (fma (/ 1/2 y) x 1/2) (fma (/ 1/2 y) x 1/2))) (sqrt (fma (/ 1/2 y) x 1/2)) (sqrt (fma (/ 1/2 y) x 1/2)) (fma (/ 1/2 y) x 1/2) (fma (/ 1/2 y) x 1/2) (fma (/ 1/2 y) x 1/2) 17.816 * * * [progress]: adding candidates to table 17.913 * [progress]: [Phase 3 of 3] Extracting. 17.913 * * [regime]: Finding splitpoints for: (# #) 17.913 * * * [regime-changes]: Trying 3 branch expressions: ((/ (+ x y) (+ y y)) y x) 17.913 * * * * [regimes]: Trying to branch on (/ (+ x y) (+ y y)) from (# #) 17.970 * * * * [regimes]: Trying to branch on y from (# #) 18.042 * * * * [regimes]: Trying to branch on x from (# #) 18.114 * * * [regime]: Found split indices: #