74.321 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.044 * * * [progress]: [2/2] Setting up program. 0.048 * [progress]: [Phase 2 of 3] Improving. 0.048 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.049 * [simplify]: Simplifying: (+ (+ (* x x) (* (* x 2.0) y)) (* y y)) 0.049 * * [simplify]: iteration 0: 9 enodes 0.052 * * [simplify]: iteration 1: 17 enodes 0.058 * * [simplify]: iteration 2: 35 enodes 0.069 * * [simplify]: iteration 3: 46 enodes 0.081 * * [simplify]: iteration complete: 46 enodes 0.081 * * [simplify]: Extracting #0: cost 1 inf + 0 0.081 * * [simplify]: Extracting #1: cost 7 inf + 0 0.082 * * [simplify]: Extracting #2: cost 16 inf + 0 0.082 * * [simplify]: Extracting #3: cost 11 inf + 86 0.082 * * [simplify]: Extracting #4: cost 2 inf + 949 0.083 * * [simplify]: Extracting #5: cost 0 inf + 1114 0.083 * [simplify]: Simplified to: (+ (* y y) (* x (+ x (* y 2.0)))) 0.101 * * [progress]: iteration 1 / 4 0.101 * * * [progress]: picking best candidate 0.105 * * * * [pick]: Picked # 0.105 * * * [progress]: localizing error 0.131 * * * [progress]: generating rewritten candidates 0.131 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 0.153 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 0.168 * * * [progress]: generating series expansions 0.168 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 0.168 * [backup-simplify]: Simplify (* x (+ x (* y 2.0))) into (* x (+ x (* 2.0 y))) 0.168 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0 0.168 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y 0.168 * [taylor]: Taking taylor expansion of x in y 0.168 * [backup-simplify]: Simplify x into x 0.168 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.168 * [taylor]: Taking taylor expansion of 2.0 in y 0.168 * [backup-simplify]: Simplify 2.0 into 2.0 0.168 * [taylor]: Taking taylor expansion of y in y 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.168 * [taylor]: Taking taylor expansion of 2.0 in x 0.168 * [backup-simplify]: Simplify 2.0 into 2.0 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [backup-simplify]: Simplify y into y 0.168 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [taylor]: Taking taylor expansion of (* 2.0 y) in x 0.168 * [taylor]: Taking taylor expansion of 2.0 in x 0.168 * [backup-simplify]: Simplify 2.0 into 2.0 0.168 * [taylor]: Taking taylor expansion of y in x 0.168 * [backup-simplify]: Simplify y into y 0.168 * [backup-simplify]: Simplify (* 2.0 y) into (* 2.0 y) 0.168 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y) 0.169 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in y 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 y)) into 0 0.169 * [backup-simplify]: Simplify (+ 1 0) into 1 0.170 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y) 0.170 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.170 * [taylor]: Taking taylor expansion of 2.0 in y 0.170 * [backup-simplify]: Simplify 2.0 into 2.0 0.170 * [taylor]: Taking taylor expansion of y in y 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 y))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1 0.172 * [taylor]: Taking taylor expansion of 1 in y 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.173 * [backup-simplify]: Simplify 2.0 into 2.0 0.173 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.174 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2.0 y))))) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2.0 y)))))) into 0 0.178 * [taylor]: Taking taylor expansion of 0 in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y))) 0.178 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0))) into (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) 0.178 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in y 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in y 0.178 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.178 * [taylor]: Taking taylor expansion of 2.0 in y 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.178 * [taylor]: Taking taylor expansion of y in y 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.179 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.179 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.179 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.179 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.179 * [taylor]: Taking taylor expansion of x in x 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.180 * [taylor]: Taking taylor expansion of 2.0 in x 0.180 * [backup-simplify]: Simplify 2.0 into 2.0 0.180 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.180 * [taylor]: Taking taylor expansion of y in x 0.180 * [backup-simplify]: Simplify y into y 0.180 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (+ 1 0) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.180 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.180 * [taylor]: Taking taylor expansion of x in x 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.181 * [taylor]: Taking taylor expansion of 2.0 in x 0.181 * [backup-simplify]: Simplify 2.0 into 2.0 0.181 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.181 * [taylor]: Taking taylor expansion of y in x 0.181 * [backup-simplify]: Simplify y into y 0.181 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.181 * [taylor]: Taking taylor expansion of x in x 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ 1 0) into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of 1 in y 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.182 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.182 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.183 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.183 * [taylor]: Taking taylor expansion of 2.0 in y 0.183 * [backup-simplify]: Simplify 2.0 into 2.0 0.183 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.183 * [taylor]: Taking taylor expansion of y in y 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (/ 1 1) into 1 0.183 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.183 * [backup-simplify]: Simplify 2.0 into 2.0 0.183 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in y 0.185 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.187 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [taylor]: Taking taylor expansion of 0 in y 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.192 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [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))) 0.195 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) 0.195 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in (x y) around 0 0.195 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in y 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in y 0.195 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.195 * [taylor]: Taking taylor expansion of x in y 0.195 * [backup-simplify]: Simplify x into x 0.195 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.195 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.195 * [taylor]: Taking taylor expansion of 2.0 in y 0.195 * [backup-simplify]: Simplify 2.0 into 2.0 0.195 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.195 * [taylor]: Taking taylor expansion of y in y 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [taylor]: Taking taylor expansion of x in y 0.196 * [backup-simplify]: Simplify x into x 0.196 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.196 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0 0.196 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x) 0.196 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 0.197 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.197 * [taylor]: Taking taylor expansion of x in x 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 (* 2.0 (/ 1 y)) in x 0.197 * [taylor]: Taking taylor expansion of 2.0 in x 0.197 * [backup-simplify]: Simplify 2.0 into 2.0 0.197 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.197 * [taylor]: Taking taylor expansion of y in x 0.197 * [backup-simplify]: Simplify y into y 0.197 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.197 * [taylor]: Taking taylor expansion of x in x 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x 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 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x 0.199 * [taylor]: Taking taylor expansion of 2.0 in x 0.199 * [backup-simplify]: Simplify 2.0 into 2.0 0.199 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.199 * [taylor]: Taking taylor expansion of y in x 0.199 * [backup-simplify]: Simplify y into y 0.199 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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 0) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of 1 in y 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y) 0.201 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y)) 0.201 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y)) 0.202 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.202 * [taylor]: Taking taylor expansion of 2.0 in y 0.202 * [backup-simplify]: Simplify 2.0 into 2.0 0.202 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.202 * [taylor]: Taking taylor expansion of y in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.208 * [backup-simplify]: Simplify 2.0 into 2.0 0.208 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) 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 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) 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 0.226 * [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))) 0.226 * * * * [progress]: [ 2 / 2 ] generating series at (2) 0.226 * [backup-simplify]: Simplify (+ (* y y) (* x (+ x (* y 2.0)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.226 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (y x) around 0 0.226 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x 0.226 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [backup-simplify]: Simplify y into y 0.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x 0.226 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x 0.226 * [taylor]: Taking taylor expansion of 2.0 in x 0.226 * [backup-simplify]: Simplify 2.0 into 2.0 0.226 * [taylor]: Taking taylor expansion of (* x y) in x 0.226 * [taylor]: Taking taylor expansion of x in x 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [taylor]: Taking taylor expansion of y in x 0.226 * [backup-simplify]: Simplify y into y 0.226 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 0.226 * [taylor]: Taking taylor expansion of (pow y 2) 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 0.227 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.227 * [taylor]: Taking taylor expansion of 2.0 in y 0.227 * [backup-simplify]: Simplify 2.0 into 2.0 0.227 * [taylor]: Taking taylor expansion of (* x y) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into 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 (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y 0.227 * [taylor]: Taking taylor expansion of (pow y 2) in y 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 (+ (pow x 2) (* 2.0 (* x y))) in y 0.227 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 0.227 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y 0.227 * [taylor]: Taking taylor expansion of 2.0 in y 0.227 * [backup-simplify]: Simplify 2.0 into 2.0 0.227 * [taylor]: Taking taylor expansion of (* x y) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into 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 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.227 * [backup-simplify]: Simplify (* x 0) into 0 0.228 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.228 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.228 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 0.228 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.229 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.229 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x) 0.229 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.230 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x) 0.230 * [taylor]: Taking taylor expansion of (* 2.0 x) 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 x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 0.232 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.233 * [taylor]: Taking taylor expansion of 1 in x 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.235 * [backup-simplify]: Simplify 2.0 into 2.0 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.236 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 0.236 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.236 * [taylor]: Taking taylor expansion of y in x 0.236 * [backup-simplify]: Simplify y into y 0.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.236 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.236 * [taylor]: Taking taylor expansion of x in x 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.237 * [taylor]: Taking taylor expansion of 2.0 in x 0.237 * [backup-simplify]: Simplify 2.0 into 2.0 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.237 * [taylor]: Taking taylor expansion of (* x y) in x 0.237 * [taylor]: Taking taylor expansion of x in x 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [taylor]: Taking taylor expansion of y in x 0.237 * [backup-simplify]: Simplify y into y 0.237 * [backup-simplify]: Simplify (* 0 y) into 0 0.237 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.237 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.238 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [backup-simplify]: Simplify x into x 0.238 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.238 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.238 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.238 * [taylor]: Taking taylor expansion of 2.0 in y 0.238 * [backup-simplify]: Simplify 2.0 into 2.0 0.238 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.238 * [taylor]: Taking taylor expansion of (* x y) in y 0.238 * [taylor]: Taking taylor expansion of x in y 0.238 * [backup-simplify]: Simplify x into x 0.238 * [taylor]: Taking taylor expansion of y in y 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* x 0) into 0 0.239 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.239 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.239 * [taylor]: Taking taylor expansion of y in y 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (* 1 1) into 1 0.239 * [backup-simplify]: Simplify (/ 1 1) into 1 0.239 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.239 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.239 * [taylor]: Taking taylor expansion of x in y 0.240 * [backup-simplify]: Simplify x into x 0.240 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.240 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.240 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.240 * [taylor]: Taking taylor expansion of 2.0 in y 0.240 * [backup-simplify]: Simplify 2.0 into 2.0 0.240 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.240 * [taylor]: Taking taylor expansion of (* x y) in y 0.240 * [taylor]: Taking taylor expansion of x in y 0.240 * [backup-simplify]: Simplify x into x 0.240 * [taylor]: Taking taylor expansion of y in y 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (* x 0) into 0 0.240 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.240 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.240 * [backup-simplify]: Simplify (+ 1 0) into 1 0.240 * [taylor]: Taking taylor expansion of 1 in x 0.240 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.241 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.241 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.242 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.242 * [taylor]: Taking taylor expansion of 2.0 in x 0.242 * [backup-simplify]: Simplify 2.0 into 2.0 0.242 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.242 * [taylor]: Taking taylor expansion of x in x 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.244 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.244 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.244 * [taylor]: Taking taylor expansion of x in x 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.245 * [backup-simplify]: Simplify 2.0 into 2.0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.245 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) 0.245 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.245 * [taylor]: Taking taylor expansion of y in x 0.245 * [backup-simplify]: Simplify y into y 0.246 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.246 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x 0.246 * [taylor]: Taking taylor expansion of 2.0 in x 0.246 * [backup-simplify]: Simplify 2.0 into 2.0 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 0.246 * [taylor]: Taking taylor expansion of (* x y) in x 0.246 * [taylor]: Taking taylor expansion of x in x 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [taylor]: Taking taylor expansion of y in x 0.246 * [backup-simplify]: Simplify y into y 0.246 * [backup-simplify]: Simplify (* 0 y) into 0 0.247 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 0.247 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.247 * [taylor]: Taking taylor expansion of y in y 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.247 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.247 * [taylor]: Taking taylor expansion of x in y 0.247 * [backup-simplify]: Simplify x into x 0.247 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.247 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.247 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.248 * [taylor]: Taking taylor expansion of 2.0 in y 0.248 * [backup-simplify]: Simplify 2.0 into 2.0 0.248 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.248 * [taylor]: Taking taylor expansion of (* x y) in y 0.248 * [taylor]: Taking taylor expansion of x in y 0.248 * [backup-simplify]: Simplify x into x 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* x 0) into 0 0.248 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.248 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y 0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.248 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.248 * [taylor]: Taking taylor expansion of y in y 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify (/ 1 1) into 1 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [backup-simplify]: Simplify x into x 0.249 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y 0.249 * [taylor]: Taking taylor expansion of 2.0 in y 0.249 * [backup-simplify]: Simplify 2.0 into 2.0 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 0.249 * [taylor]: Taking taylor expansion of (* x y) in y 0.249 * [taylor]: Taking taylor expansion of x in y 0.249 * [backup-simplify]: Simplify x into x 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (* x 0) into 0 0.249 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 0.249 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [taylor]: Taking taylor expansion of 1 in x 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x) 0.251 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x)) 0.251 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x)) 0.251 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x 0.251 * [taylor]: Taking taylor expansion of 2.0 in x 0.251 * [backup-simplify]: Simplify 2.0 into 2.0 0.251 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.251 * [taylor]: Taking taylor expansion of x in x 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0 0.253 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2)) 0.253 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.253 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.253 * [taylor]: Taking taylor expansion of x in x 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.254 * [backup-simplify]: Simplify 2.0 into 2.0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.255 * * * [progress]: simplifying candidates 0.255 * * * * [progress]: [ 1 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 2 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 3 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 4 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 5 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 6 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 7 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 8 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 9 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 10 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 11 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 12 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 13 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 14 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 15 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 16 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 17 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 18 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 19 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 20 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 21 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 22 / 43 ] simplifiying candidate #real (real->posit16 (* x (+ x (* y 2.0)))))))> 0.255 * * * * [progress]: [ 23 / 43 ] simplifiying candidate # 0.255 * * * * [progress]: [ 24 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 25 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 26 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 27 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 28 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 29 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 30 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 31 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 32 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 33 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 34 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 35 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 36 / 43 ] simplifiying candidate #real (real->posit16 (+ (* y y) (* x (+ x (* y 2.0)))))))> 0.256 * * * * [progress]: [ 37 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 38 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 39 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 40 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 41 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 42 / 43 ] simplifiying candidate # 0.256 * * * * [progress]: [ 43 / 43 ] simplifiying candidate # 0.257 * [simplify]: Simplifying: (* x (+ x (* y 2.0))) (+ (log x) (log (+ x (* y 2.0)))) (log (* x (+ x (* y 2.0)))) (exp (* x (+ x (* y 2.0)))) (* (* (* x x) x) (* (* (+ x (* y 2.0)) (+ x (* y 2.0))) (+ x (* y 2.0)))) (* (cbrt (* x (+ x (* y 2.0)))) (cbrt (* x (+ x (* y 2.0))))) (cbrt (* x (+ x (* y 2.0)))) (* (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* x (+ x (* y 2.0)))) (sqrt (* x (+ x (* y 2.0)))) (sqrt (* x (+ x (* y 2.0)))) (* (sqrt x) (sqrt (+ x (* y 2.0)))) (* (sqrt x) (sqrt (+ x (* y 2.0)))) (* x x) (* x (* y 2.0)) (* x x) (* (* y 2.0) x) (* x (* (cbrt (+ x (* y 2.0))) (cbrt (+ x (* y 2.0))))) (* x (sqrt (+ x (* y 2.0)))) (* x 1) (* (cbrt x) (+ x (* y 2.0))) (* (sqrt x) (+ x (* y 2.0))) (* x (+ x (* y 2.0))) (* x (+ (pow x 3) (pow (* y 2.0) 3))) (* x (- (* x x) (* (* y 2.0) (* y 2.0)))) (real->posit16 (* x (+ x (* y 2.0)))) (* (exp (* y y)) (exp (* x (+ x (* y 2.0))))) (log (+ (* y y) (* x (+ x (* y 2.0))))) (exp (+ (* y y) (* x (+ x (* y 2.0))))) (* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0)))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (* (* (+ (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x (+ x (* y 2.0))))) (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (sqrt (+ (* y y) (* x (+ x (* y 2.0))))) (+ (pow (* y y) 3) (pow (* x (+ x (* y 2.0))) 3)) (+ (* (* y y) (* y y)) (- (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* (* y y) (* x (+ x (* y 2.0)))))) (- (* (* y y) (* y y)) (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0))))) (- (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (real->posit16 (+ (* y y) (* x (+ x (* y 2.0))))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow x 2) (* 2.0 (* x y))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) 0.257 * * [simplify]: iteration 0: 73 enodes 0.280 * * [simplify]: iteration 1: 239 enodes 0.358 * * [simplify]: iteration 2: 1019 enodes 0.710 * * [simplify]: iteration complete: 5003 enodes 0.710 * * [simplify]: Extracting #0: cost 32 inf + 0 0.711 * * [simplify]: Extracting #1: cost 408 inf + 1 0.720 * * [simplify]: Extracting #2: cost 1399 inf + 16323 0.764 * * [simplify]: Extracting #3: cost 1301 inf + 179720 0.867 * * [simplify]: Extracting #4: cost 277 inf + 420706 0.991 * * [simplify]: Extracting #5: cost 34 inf + 467563 1.111 * * [simplify]: Extracting #6: cost 8 inf + 471802 1.201 * * [simplify]: Extracting #7: cost 0 inf + 474110 1.292 * [simplify]: Simplified to: (* (+ x (* 2.0 y)) x) (log (* (+ x (* 2.0 y)) x)) (log (* (+ x (* 2.0 y)) x)) (exp (* (+ x (* 2.0 y)) x)) (* (* (+ x (* 2.0 y)) x) (* (* (+ x (* 2.0 y)) x) (* (+ x (* 2.0 y)) x))) (* (cbrt (* (+ x (* 2.0 y)) x)) (cbrt (* (+ x (* 2.0 y)) x))) (cbrt (* (+ x (* 2.0 y)) x)) (* (* (+ x (* 2.0 y)) x) (* (* (+ x (* 2.0 y)) x) (* (+ x (* 2.0 y)) x))) (sqrt (* (+ x (* 2.0 y)) x)) (sqrt (* (+ x (* 2.0 y)) x)) (* (sqrt x) (sqrt (+ x (* 2.0 y)))) (* (sqrt x) (sqrt (+ x (* 2.0 y)))) (* x x) (* (* 2.0 y) x) (* x x) (* (* 2.0 y) x) (* (* (cbrt (+ x (* 2.0 y))) (cbrt (+ x (* 2.0 y)))) x) (* x (sqrt (+ x (* 2.0 y)))) x (* (cbrt x) (+ (* 2.0 y) x)) (* (sqrt x) (+ (* 2.0 y) x)) (* (+ x (* 2.0 y)) x) (* (+ (* (* x x) x) (* (* (* 2.0 y) (* 2.0 y)) (* 2.0 y))) x) (* x (* (- x (* 2.0 y)) (+ x (* 2.0 y)))) (real->posit16 (* (+ x (* 2.0 y)) x)) (exp (+ (* y y) (* (+ x (* 2.0 y)) x))) (log (+ (* y y) (* (+ x (* 2.0 y)) x))) (exp (+ (* y y) (* (+ x (* 2.0 y)) x))) (* (cbrt (+ (* y y) (* (+ x (* 2.0 y)) x))) (cbrt (+ (* y y) (* (+ x (* 2.0 y)) x)))) (cbrt (+ (* y y) (* (+ x (* 2.0 y)) x))) (* (+ (* y y) (* (+ x (* 2.0 y)) x)) (* (+ (* y y) (* (+ x (* 2.0 y)) x)) (+ (* y y) (* (+ x (* 2.0 y)) x)))) (sqrt (+ (* y y) (* (+ x (* 2.0 y)) x))) (sqrt (+ (* y y) (* (+ x (* 2.0 y)) x))) (+ (* (* (* y y) (* y y)) (* y y)) (* (* (+ x (* 2.0 y)) x) (* (* (+ x (* 2.0 y)) x) (* (+ x (* 2.0 y)) x)))) (+ (* (* (+ x (* 2.0 y)) x) (- (* (+ x (* 2.0 y)) x) (* y y))) (* (* y y) (* y y))) (- (* (* y y) (* y y)) (* (* (+ x (* 2.0 y)) x) (* (+ x (* 2.0 y)) x))) (- (* y y) (* (+ x (* 2.0 y)) x)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (real->posit16 (+ (* y y) (* (+ x (* 2.0 y)) x))) (+ (* (* 2.0 y) x) (* x x)) (+ (* (* 2.0 y) x) (* x x)) (+ (* (* 2.0 y) x) (* x x)) (+ (+ (* x x) (* (* 2.0 y) x)) (* y y)) (+ (+ (* x x) (* (* 2.0 y) x)) (* y y)) (+ (+ (* x x) (* (* 2.0 y) x)) (* y y)) 1.294 * * * [progress]: adding candidates to table 1.409 * * [progress]: iteration 2 / 4 1.409 * * * [progress]: picking best candidate 1.411 * * * * [pick]: Picked # 1.411 * * * [progress]: localizing error 1.427 * * * [progress]: generating rewritten candidates 1.427 * * * [progress]: generating series expansions 1.427 * * * [progress]: simplifying candidates 1.427 * [simplify]: Simplifying: 1.427 * * [simplify]: iteration 0: 0 enodes 1.427 * * [simplify]: iteration complete: 0 enodes 1.427 * * [simplify]: Extracting #0: cost 0 inf + 0 1.427 * [simplify]: Simplified to: 1.427 * * * [progress]: adding candidates to table 1.427 * [progress]: [Phase 3 of 3] Extracting. 1.432 * [simplify]: Simplifying: (+ (+ (* y y) (* x x)) (* x (* y 2.0))) 1.432 * * [simplify]: iteration 0: 9 enodes 1.433 * * [simplify]: iteration 1: 13 enodes 1.433 * * [simplify]: iteration complete: 13 enodes 1.433 * * [simplify]: Extracting #0: cost 1 inf + 0 1.433 * * [simplify]: Extracting #1: cost 3 inf + 0 1.433 * * [simplify]: Extracting #2: cost 7 inf + 0 1.433 * * [simplify]: Extracting #3: cost 7 inf + 42 1.433 * * [simplify]: Extracting #4: cost 5 inf + 44 1.434 * * [simplify]: Extracting #5: cost 0 inf + 575 1.434 * [simplify]: Simplified to: (+ (* (* 2.0 y) x) (+ (* y y) (* x x))) 3.018 * [regime-testing]: Baseline error score: 0.016552643176351405 3.020 * [regime-testing]: Oracle error score: 0.016552643176351405 3.020 * [regime-testing]: End program error score: 0.016552643176351405 3.071 * [regime-testing]: Target error score: 0.016692608373970193