37.873 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.029 * * * [progress]: [2/2] Setting up program. 0.033 * [progress]: [Phase 2 of 3] Improving. 0.033 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: Extracting # 1 : cost 0 0.033 * * [simplify]: Extracting # 2 : cost 0 0.033 * * [simplify]: Extracting # 3 : cost 0 0.033 * * [simplify]: Extracting # 4 : cost 0 0.033 * * [simplify]: Extracting # 5 : cost 0 0.034 * * [simplify]: Extracting # 6 : cost 0 0.034 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 0.037 * * [simplify]: Extracting # 0 : cost 0 0.037 * * [simplify]: Extracting # 1 : cost 0 0.037 * * [simplify]: Extracting # 2 : cost 0 0.037 * * [simplify]: iteration 1 : 18 enodes (cost 12 ) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.045 * * [simplify]: Extracting # 1 : cost 0 0.045 * * [simplify]: Extracting # 2 : cost 0 0.045 * * [simplify]: Extracting # 3 : cost 0 0.045 * * [simplify]: iteration 2 : 45 enodes (cost 10 ) 0.064 * * [simplify]: Extracting # 0 : cost 0 0.064 * * [simplify]: Extracting # 1 : cost 0 0.065 * * [simplify]: Extracting # 2 : cost 0 0.065 * * [simplify]: iteration 3 : 78 enodes (cost 9 ) 0.096 * * [simplify]: Extracting # 0 : cost 0 0.097 * * [simplify]: Extracting # 1 : cost 0 0.097 * * [simplify]: Extracting # 2 : cost 0 0.097 * * [simplify]: iteration 4 : 86 enodes (cost 9 ) 0.110 * * [simplify]: Extracting # 0 : cost 0 0.110 * * [simplify]: iteration 5 : 94 enodes (cost 9 ) 0.121 * * [simplify]: Extracting # 0 : cost 0 0.122 * * [simplify]: iteration done: 94 enodes (cost 9 ) 0.122 * [simplify]: Simplified to: (fma x (fma y 2.0 x) (* y y)) 0.125 * * [progress]: iteration 1 / 4 0.125 * * * [progress]: picking best candidate 0.127 * * * * [pick]: Picked # 0.127 * * * [progress]: localizing error 0.138 * * * [progress]: generating rewritten candidates 0.138 * * * * [progress]: [ 1 / 2 ] rewriting at (2 1) 0.152 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.204 * * * [progress]: generating series expansions 0.204 * * * * [progress]: [ 1 / 2 ] generating series at (2 1) 0.204 * [backup-simplify]: Simplify (+ (* x x) (* (* x 2.0) y)) into (+ (pow x 2) (* 2.0 (* x y))) 0.204 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in (x y) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.204 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [backup-simplify]: Simplify x into x 0.204 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.204 * [taylor]: Taking taylor expansion of 2.0 in y 0.204 * [backup-simplify]: Simplify 2.0 into 2.0 0.204 * [taylor]: Taking taylor expansion of (* x y) in y 0.204 * [taylor]: Taking taylor expansion of x in y 0.204 * [backup-simplify]: Simplify x into x 0.204 * [taylor]: Taking taylor expansion of y in y 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.205 * [taylor]: Taking taylor expansion of 2.0 in x 0.205 * [backup-simplify]: Simplify 2.0 into 2.0 0.205 * [taylor]: Taking taylor expansion of (* x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [backup-simplify]: Simplify y into y 0.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.205 * [taylor]: Taking taylor expansion of 2.0 in x 0.205 * [backup-simplify]: Simplify 2.0 into 2.0 0.205 * [taylor]: Taking taylor expansion of (* x y) in x 0.205 * [taylor]: Taking taylor expansion of x in x 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [backup-simplify]: Simplify y into y 0.205 * [backup-simplify]: Simplify (* 0 y) into 0 0.206 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in y 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.208 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.208 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.208 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.209 * [taylor]: Taking taylor expansion of 2.0 in y 0.209 * [backup-simplify]: Simplify 2.0 into 2.0 0.209 * [taylor]: Taking taylor expansion of y in y 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.212 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.212 * [backup-simplify]: Simplify (+ 1 0) into 1 0.212 * [taylor]: Taking taylor expansion of 1 in y 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.214 * [backup-simplify]: Simplify 2.0 into 2.0 0.214 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.216 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [taylor]: Taking taylor expansion of 0 in y 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0))))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [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 (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.225 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.225 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.225 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.225 * [taylor]: Taking taylor expansion of x in y 0.225 * [backup-simplify]: Simplify x into x 0.226 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.226 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.226 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.226 * [taylor]: Taking taylor expansion of 2.0 in y 0.226 * [backup-simplify]: Simplify 2.0 into 2.0 0.226 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.226 * [taylor]: Taking taylor expansion of (* x y) in y 0.226 * [taylor]: Taking taylor expansion of x in y 0.226 * [backup-simplify]: Simplify x into x 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 (* x 0) into 0 0.227 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.227 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.227 * [taylor]: Taking taylor expansion of (pow x 2) 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 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.228 * [taylor]: Taking taylor expansion of 2.0 in x 0.228 * [backup-simplify]: Simplify 2.0 into 2.0 0.228 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.228 * [taylor]: Taking taylor expansion of (* x y) 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 0.228 * [taylor]: Taking taylor expansion of y in x 0.228 * [backup-simplify]: Simplify y into y 0.228 * [backup-simplify]: Simplify (* 0 y) into 0 0.229 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.229 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.229 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.229 * [taylor]: Taking taylor expansion of x in x 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.230 * [taylor]: Taking taylor expansion of 2.0 in x 0.230 * [backup-simplify]: Simplify 2.0 into 2.0 0.230 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.230 * [taylor]: Taking taylor expansion of (* x y) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (* 0 y) into 0 0.231 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.231 * [backup-simplify]: Simplify (+ 1 0) into 1 0.231 * [taylor]: Taking taylor expansion of 1 in y 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.233 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.233 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.233 * [taylor]: Taking taylor expansion of 2.0 in y 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.233 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.234 * [taylor]: Taking taylor expansion of y in y 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.235 * [backup-simplify]: Simplify 2.0 into 2.0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.238 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.245 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [taylor]: Taking taylor expansion of 0 in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [taylor]: Taking taylor expansion of 0 in y 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.255 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.255 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) 0.256 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in (x y) around 0 0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.256 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.256 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.256 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.256 * [taylor]: Taking taylor expansion of 2.0 in y 0.256 * [backup-simplify]: Simplify 2.0 into 2.0 0.256 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.256 * [taylor]: Taking taylor expansion of (* x y) in y 0.256 * [taylor]: Taking taylor expansion of x in y 0.256 * [backup-simplify]: Simplify x into x 0.256 * [taylor]: Taking taylor expansion of y in y 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify 1 into 1 0.256 * [backup-simplify]: Simplify (* x 0) into 0 0.257 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.257 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.257 * [taylor]: Taking taylor expansion of x in x 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (* 1 1) into 1 0.258 * [backup-simplify]: Simplify (/ 1 1) into 1 0.258 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.258 * [taylor]: Taking taylor expansion of 2.0 in x 0.258 * [backup-simplify]: Simplify 2.0 into 2.0 0.258 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.258 * [taylor]: Taking taylor expansion of (* x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of y in x 0.259 * [backup-simplify]: Simplify y into y 0.259 * [backup-simplify]: Simplify (* 0 y) into 0 0.259 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.259 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.259 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.259 * [taylor]: Taking taylor expansion of x in x 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify (* 1 1) into 1 0.260 * [backup-simplify]: Simplify (/ 1 1) into 1 0.260 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.260 * [taylor]: Taking taylor expansion of 2.0 in x 0.260 * [backup-simplify]: Simplify 2.0 into 2.0 0.260 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.260 * [taylor]: Taking taylor expansion of (* x y) in x 0.260 * [taylor]: Taking taylor expansion of x in x 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [taylor]: Taking taylor expansion of y in x 0.261 * [backup-simplify]: Simplify y into y 0.261 * [backup-simplify]: Simplify (* 0 y) into 0 0.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.261 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.262 * [taylor]: Taking taylor expansion of 1 in y 0.262 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.263 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.264 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.264 * [taylor]: Taking taylor expansion of 2.0 in y 0.264 * [backup-simplify]: Simplify 2.0 into 2.0 0.264 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.265 * [backup-simplify]: Simplify 2.0 into 2.0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.268 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [taylor]: Taking taylor expansion of 0 in y 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.276 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.284 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.285 * [backup-simplify]: Simplify (+ 0 0) into 0 0.285 * [taylor]: Taking taylor expansion of 0 in y 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify 0 into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y))) 0.285 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.286 * [backup-simplify]: Simplify (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.286 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in (x y) around 0 0.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in y 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [backup-simplify]: Simplify x into x 0.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in y 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.286 * [taylor]: Taking taylor expansion of 2.0 in y 0.286 * [backup-simplify]: Simplify 2.0 into 2.0 0.286 * [taylor]: Taking taylor expansion of (* x y) in y 0.286 * [taylor]: Taking taylor expansion of x in y 0.286 * [backup-simplify]: Simplify x into x 0.286 * [taylor]: Taking taylor expansion of y in y 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.286 * [taylor]: Taking taylor expansion of x in x 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.286 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.286 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.287 * [taylor]: Taking taylor expansion of 2.0 in x 0.287 * [backup-simplify]: Simplify 2.0 into 2.0 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) in x 0.287 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) (* 2.0 (* x y))) in x 0.287 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.287 * [taylor]: Taking taylor expansion of 2.0 in x 0.287 * [backup-simplify]: Simplify 2.0 into 2.0 0.287 * [taylor]: Taking taylor expansion of (* x y) in x 0.287 * [taylor]: Taking taylor expansion of x in x 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.287 * [taylor]: Taking taylor expansion of y in x 0.287 * [backup-simplify]: Simplify y into y 0.287 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.287 * [backup-simplify]: Simplify (* 0 y) into 0 0.288 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.288 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 0.289 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.289 * [taylor]: Taking taylor expansion of y in y 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.290 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.290 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.290 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.291 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.291 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.291 * [taylor]: Taking taylor expansion of 2.0 in y 0.291 * [backup-simplify]: Simplify 2.0 into 2.0 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (* 1 1) into 1 0.292 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (+ 1 0) into 1 0.295 * [taylor]: Taking taylor expansion of 1 in y 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.301 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.303 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 x) 2.0) (/ 1 y))) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.303 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.303 * [taylor]: Taking taylor expansion of x in y 0.303 * [backup-simplify]: Simplify x into x 0.303 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.303 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.303 * [taylor]: Taking taylor expansion of y in y 0.303 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.305 * [taylor]: Taking taylor expansion of 2.0 in y 0.305 * [backup-simplify]: Simplify 2.0 into 2.0 0.305 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.305 * [taylor]: Taking taylor expansion of (* x y) in y 0.305 * [taylor]: Taking taylor expansion of x in y 0.305 * [backup-simplify]: Simplify x into x 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* x 0) into 0 0.305 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.305 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.306 * [taylor]: Taking taylor expansion of x in x 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [backup-simplify]: Simplify y into y 0.307 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.307 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.307 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.307 * [taylor]: Taking taylor expansion of 2.0 in x 0.307 * [backup-simplify]: Simplify 2.0 into 2.0 0.307 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.307 * [taylor]: Taking taylor expansion of (* x y) in x 0.307 * [taylor]: Taking taylor expansion of x in x 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.307 * [taylor]: Taking taylor expansion of y in x 0.307 * [backup-simplify]: Simplify y into y 0.307 * [backup-simplify]: Simplify (* 0 y) into 0 0.308 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.308 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.310 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.310 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.310 * [taylor]: Taking taylor expansion of 2.0 in x 0.310 * [backup-simplify]: Simplify 2.0 into 2.0 0.310 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.310 * [taylor]: Taking taylor expansion of (* x y) in x 0.310 * [taylor]: Taking taylor expansion of x in x 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [taylor]: Taking taylor expansion of y in x 0.310 * [backup-simplify]: Simplify y into y 0.310 * [backup-simplify]: Simplify (* 0 y) into 0 0.310 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.310 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.311 * [backup-simplify]: Simplify (+ 1 0) into 1 0.311 * [taylor]: Taking taylor expansion of 1 in y 0.311 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.313 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.313 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.313 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.313 * [taylor]: Taking taylor expansion of 2.0 in y 0.313 * [backup-simplify]: Simplify 2.0 into 2.0 0.313 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.313 * [taylor]: Taking taylor expansion of y in y 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.318 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.318 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.318 * [taylor]: Taking taylor expansion of y in y 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.319 * [backup-simplify]: Simplify 2.0 into 2.0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.321 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- x)) 2.0) (/ 1 (- y)))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) 0.321 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.321 * [taylor]: Taking taylor expansion of x in y 0.321 * [backup-simplify]: Simplify x into x 0.321 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in y 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.321 * [taylor]: Taking taylor expansion of y in y 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.322 * [backup-simplify]: Simplify (* 1 1) into 1 0.323 * [backup-simplify]: Simplify (/ 1 1) into 1 0.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.323 * [taylor]: Taking taylor expansion of 2.0 in y 0.323 * [backup-simplify]: Simplify 2.0 into 2.0 0.323 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.323 * [taylor]: Taking taylor expansion of (* x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [backup-simplify]: Simplify x into x 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [backup-simplify]: Simplify (* x 0) into 0 0.323 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.323 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.324 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.325 * [backup-simplify]: Simplify (/ 1 1) into 1 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.325 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.325 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.325 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.325 * [taylor]: Taking taylor expansion of 2.0 in x 0.325 * [backup-simplify]: Simplify 2.0 into 2.0 0.325 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.325 * [taylor]: Taking taylor expansion of (* x y) in x 0.325 * [taylor]: Taking taylor expansion of x in x 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [taylor]: Taking taylor expansion of y in x 0.325 * [backup-simplify]: Simplify y into y 0.325 * [backup-simplify]: Simplify (* 0 y) into 0 0.326 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.326 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y))))) in x 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.326 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.326 * [taylor]: Taking taylor expansion of x in x 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 1 into 1 0.327 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (/ 1 1) into 1 0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (* 2.0 (/ 1 (* x y)))) in x 0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.327 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.327 * [taylor]: Taking taylor expansion of y in x 0.327 * [backup-simplify]: Simplify y into y 0.327 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.328 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.328 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.328 * [taylor]: Taking taylor expansion of 2.0 in x 0.328 * [backup-simplify]: Simplify 2.0 into 2.0 0.328 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.328 * [taylor]: Taking taylor expansion of (* x y) in x 0.328 * [taylor]: Taking taylor expansion of x in x 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 1 into 1 0.328 * [taylor]: Taking taylor expansion of y in x 0.328 * [backup-simplify]: Simplify y into y 0.328 * [backup-simplify]: Simplify (* 0 y) into 0 0.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.328 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.329 * [backup-simplify]: Simplify (+ 1 0) into 1 0.329 * [taylor]: Taking taylor expansion of 1 in y 0.329 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.331 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.331 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y)) 0.331 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of 2.0 in y 0.331 * [backup-simplify]: Simplify 2.0 into 2.0 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.334 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 0.335 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.335 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.335 * [taylor]: Taking taylor expansion of y in y 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.336 * [backup-simplify]: Simplify 2.0 into 2.0 0.336 * [backup-simplify]: Simplify 1 into 1 0.336 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.337 * * * [progress]: simplifying candidates 0.337 * [simplify]: Simplifying: (expm1 (+ (* x x) (* (* x 2.0) y))) (log1p (+ (* x x) (* (* x 2.0) y))) (* (exp (* x x)) (exp (* (* x 2.0) y))) (log (+ (* x x) (* (* x 2.0) y))) (exp (+ (* x x) (* (* x 2.0) y))) (* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y)))) (cbrt (+ (* x x) (* (* x 2.0) y))) (* (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (+ (pow (* x x) 3) (pow (* (* x 2.0) y) 3)) (+ (* (* x x) (* x x)) (- (* (* (* x 2.0) y) (* (* x 2.0) y)) (* (* x x) (* (* x 2.0) y)))) (- (* (* x x) (* x x)) (* (* (* x 2.0) y) (* (* x 2.0) y))) (- (* x x) (* (* x 2.0) y)) (expm1 (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (log1p (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (exp (* x x)) (exp (* (* x 2.0) y))) (exp (* y y))) (* (exp (+ (* x x) (* (* x 2.0) y))) (exp (* y y))) (log (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (exp (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (* (* (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (sqrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (+ (pow (+ (* x x) (* (* x 2.0) y)) 3) (pow (* y y) 3)) (+ (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (- (* (* y y) (* y y)) (* (+ (* x x) (* (* x 2.0) y)) (* y y)))) (- (* (+ (* x x) (* (* x 2.0) y)) (+ (* x x) (* (* x 2.0) y))) (* (* y y) (* y y))) (- (+ (* x x) (* (* x 2.0) y)) (* y y)) (+ (* (* x 2.0) y) (* y y)) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) (+ (pow x 2) (+ (pow y 2) (* 2.0 (* x y)))) 0.338 * * [simplify]: Extracting # 0 : cost 0 0.338 * * [simplify]: Extracting # 1 : cost 0 0.338 * * [simplify]: Extracting # 2 : cost 0 0.338 * * [simplify]: Extracting # 3 : cost 0 0.338 * * [simplify]: Extracting # 4 : cost 0 0.338 * * [simplify]: Extracting # 5 : cost 0 0.339 * * [simplify]: Extracting # 6 : cost 0 0.339 * * [simplify]: iteration 0 : 62 enodes (cost 573 ) 0.355 * * [simplify]: Extracting # 0 : cost 0 0.356 * * [simplify]: Extracting # 1 : cost 0 0.356 * * [simplify]: Extracting # 2 : cost 0 0.356 * * [simplify]: Extracting # 3 : cost 0 0.357 * * [simplify]: Extracting # 4 : cost 0 0.357 * * [simplify]: iteration 1 : 227 enodes (cost 486 ) 0.617 * * [simplify]: Extracting # 0 : cost 0 0.621 * * [simplify]: Extracting # 1 : cost 0 0.626 * * [simplify]: Extracting # 2 : cost 0 0.630 * * [simplify]: Extracting # 3 : cost 0 0.635 * * [simplify]: Extracting # 4 : cost 0 0.645 * * [simplify]: Extracting # 5 : cost 0 0.650 * * [simplify]: iteration 2 : 1682 enodes (cost 387 ) 2.391 * * [simplify]: Extracting # 0 : cost 0 2.408 * * [simplify]: Extracting # 1 : cost 0 2.430 * * [simplify]: Extracting # 2 : cost 0 2.442 * * [simplify]: Extracting # 3 : cost 0 2.450 * * [simplify]: Extracting # 4 : cost 0 2.458 * * [simplify]: iteration done: 5001 enodes (cost 366 ) 2.459 * [simplify]: Simplified to: (expm1 (* x (fma y 2.0 x))) (log1p (* x (fma y 2.0 x))) (exp (* x (fma y 2.0 x))) (log (* x (fma y 2.0 x))) (exp (* x (fma y 2.0 x))) (* (cbrt (* x (fma y 2.0 x))) (cbrt (* x (fma y 2.0 x)))) (cbrt (* x (fma y 2.0 x))) (pow (* x (fma y 2.0 x)) 3) (sqrt (* x (fma y 2.0 x))) (sqrt (* x (fma y 2.0 x))) (+ (pow (* (* x 2.0) y) 3) (pow x 6)) (fma (* 2.0 (* x y)) (* x (- (* 2.0 y) x)) (pow x 4)) (* (* x (fma y 2.0 x)) (* x (- x (* 2.0 y)))) (* x (- x (* 2.0 y))) (expm1 (fma y (fma x 2.0 y) (* x x))) (log1p (fma y (fma x 2.0 y) (* x x))) (exp (fma y (fma x 2.0 y) (* x x))) (exp (fma y (fma x 2.0 y) (* x x))) (log (fma y (fma x 2.0 y) (* x x))) (exp (fma y (fma x 2.0 y) (* x x))) (* (cbrt (fma y (fma x 2.0 y) (* x x))) (cbrt (fma y (fma x 2.0 y) (* x x)))) (cbrt (fma y (fma x 2.0 y) (* x x))) (pow (fma y (fma x 2.0 y) (* x x)) 3) (sqrt (fma y (fma x 2.0 y) (* x x))) (sqrt (fma y (fma x 2.0 y) (* x x))) (+ (pow y 6) (pow (* x (fma y 2.0 x)) 3)) (- (fma (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (pow y 4)) (* (* x (fma y 2.0 x)) (* y y))) (fma (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (- (pow y 4))) (fma x x (* y (- (* x 2.0) y))) (* y (fma x 2.0 y)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (* x (fma y 2.0 x)) (fma y (fma x 2.0 y) (* x x)) (fma y (fma x 2.0 y) (* x x)) (fma y (fma x 2.0 y) (* x x)) 2.459 * * * [progress]: adding candidates to table 2.647 * [progress]: [Phase 3 of 3] Extracting. 2.650 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 2.650 * * [simplify]: Extracting # 0 : cost 0 2.650 * * [simplify]: Extracting # 1 : cost 0 2.650 * * [simplify]: Extracting # 2 : cost 0 2.650 * * [simplify]: Extracting # 3 : cost 0 2.650 * * [simplify]: Extracting # 4 : cost 0 2.650 * * [simplify]: Extracting # 5 : cost 0 2.650 * * [simplify]: Extracting # 6 : cost 0 2.651 * * [simplify]: iteration 0 : 9 enodes (cost 13 ) 2.652 * * [simplify]: Extracting # 0 : cost 0 2.652 * * [simplify]: iteration 1 : 13 enodes (cost 13 ) 2.653 * * [simplify]: Extracting # 0 : cost 0 2.653 * * [simplify]: iteration done: 13 enodes (cost 13 ) 2.653 * [simplify]: Simplified to: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 4.721 * [regime-testing]: Baseline error score: 0.015886587773102992 4.723 * [regime-testing]: Oracle error score: 0.015886587773102992 4.724 * [regime-testing]: End program error score: 0.015886587773102992 4.744 * [regime-testing]: Target error score: 0.01740577805856931