38.924 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.017 * * * [progress]: [2/2] Setting up program. 0.020 * [progress]: [Phase 2 of 3] Improving. 0.020 * [simplify]: Simplifying: (* 2.0 (+ (* x x) (* x y))) 0.020 * * [simplify]: iteration 0: 7 enodes 0.021 * * [simplify]: iteration 1: 19 enodes 0.026 * * [simplify]: iteration 2: 41 enodes 0.040 * * [simplify]: iteration 3: 70 enodes 0.069 * * [simplify]: iteration 4: 100 enodes 0.105 * * [simplify]: iteration 5: 126 enodes 0.121 * * [simplify]: iteration complete: 126 enodes 0.121 * * [simplify]: Extracting #0: cost 1 inf + 0 0.122 * * [simplify]: Extracting #1: cost 13 inf + 0 0.122 * * [simplify]: Extracting #2: cost 10 inf + 3 0.122 * * [simplify]: Extracting #3: cost 1 inf + 542 0.123 * * [simplify]: Extracting #4: cost 0 inf + 665 0.123 * [simplify]: Simplified to: (* (+ x y) (* 2.0 x)) 0.131 * * [progress]: iteration 1 / 4 0.131 * * * [progress]: picking best candidate 0.142 * * * * [pick]: Picked # 0.142 * * * [progress]: localizing error 0.149 * * * [progress]: generating rewritten candidates 0.149 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.177 * * * [progress]: generating series expansions 0.177 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.178 * [backup-simplify]: Simplify (* (+ x y) (* 2.0 x)) into (* 2.0 (* (+ x y) x)) 0.178 * [approximate]: Taking taylor expansion of (* 2.0 (* (+ x y) x)) in (x y) around 0 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (* (+ x y) x)) 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 (* (+ x y) x) in y 0.178 * [taylor]: Taking taylor expansion of (+ x y) in y 0.178 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of x in y 0.178 * [backup-simplify]: Simplify x into x 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (* (+ x y) x)) in x 0.178 * [taylor]: Taking taylor expansion of 2.0 in x 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 0.178 * [taylor]: Taking taylor expansion of (+ x y) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of (* 2.0 (* (+ x y) x)) in x 0.178 * [taylor]: Taking taylor expansion of 2.0 in x 0.178 * [backup-simplify]: Simplify 2.0 into 2.0 0.178 * [taylor]: Taking taylor expansion of (* (+ x y) x) in x 0.178 * [taylor]: Taking taylor expansion of (+ x y) in x 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [taylor]: Taking taylor expansion of y in x 0.178 * [backup-simplify]: Simplify y into y 0.178 * [taylor]: Taking taylor expansion of x in x 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ 0 y) into y 0.178 * [backup-simplify]: Simplify (* y 0) into 0 0.179 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in y 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (+ (* y 1) (* 1 0)) into y 0.180 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 0.180 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 0.180 * [taylor]: Taking taylor expansion of 2.0 in y 0.180 * [backup-simplify]: Simplify 2.0 into 2.0 0.180 * [taylor]: Taking taylor expansion of y in y 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 0))) into 1 0.181 * [backup-simplify]: Simplify (+ (* 2.0 1) (+ (* 0 y) (* 0 0))) into 2.0 0.181 * [taylor]: Taking taylor expansion of 2.0 in y 0.181 * [backup-simplify]: Simplify 2.0 into 2.0 0.181 * [backup-simplify]: Simplify 2.0 into 2.0 0.182 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.182 * [backup-simplify]: Simplify 2.0 into 2.0 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in y 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ 0 0) into 0 0.185 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.186 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 0.186 * [taylor]: Taking taylor expansion of 0 in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 2.0 (pow (* 1 x) 2))) into (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.187 * [backup-simplify]: Simplify (* (+ (/ 1 x) (/ 1 y)) (* 2.0 (/ 1 x))) into (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) 0.187 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.187 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) in y 0.187 * [taylor]: Taking taylor expansion of 2.0 in y 0.187 * [backup-simplify]: Simplify 2.0 into 2.0 0.187 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.187 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.187 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.187 * [taylor]: Taking taylor expansion of y in y 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.188 * [backup-simplify]: Simplify (+ 0 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.188 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) in x 0.188 * [taylor]: Taking taylor expansion of 2.0 in x 0.188 * [backup-simplify]: Simplify 2.0 into 2.0 0.188 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 0.188 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.188 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.188 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.188 * [taylor]: Taking taylor expansion of x in x 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (+ 1 0) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) in x 0.189 * [taylor]: Taking taylor expansion of 2.0 in x 0.189 * [backup-simplify]: Simplify 2.0 into 2.0 0.189 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.189 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.189 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.189 * [taylor]: Taking taylor expansion of x in x 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.190 * [taylor]: Taking taylor expansion of 2.0 in y 0.190 * [backup-simplify]: Simplify 2.0 into 2.0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.191 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.191 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) (* 0 1)) into (* 2.0 (/ 1 y)) 0.191 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.191 * [taylor]: Taking taylor expansion of 2.0 in y 0.191 * [backup-simplify]: Simplify 2.0 into 2.0 0.191 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.191 * [taylor]: Taking taylor expansion of y in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.192 * [backup-simplify]: Simplify 2.0 into 2.0 0.192 * [backup-simplify]: Simplify 2.0 into 2.0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in y 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in y 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in y 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.203 * [backup-simplify]: Simplify (* (+ (/ 1 (- x)) (/ 1 (- y))) (* 2.0 (/ 1 (- x)))) into (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) 0.203 * [approximate]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) in (x y) around 0 0.203 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) in y 0.203 * [taylor]: Taking taylor expansion of 2.0 in y 0.203 * [backup-simplify]: Simplify 2.0 into 2.0 0.203 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in y 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in y 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.203 * [taylor]: Taking taylor expansion of x in y 0.203 * [backup-simplify]: Simplify x into x 0.203 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.203 * [taylor]: Taking taylor expansion of y in y 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of x in y 0.204 * [backup-simplify]: Simplify x into x 0.204 * [backup-simplify]: Simplify (+ 0 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.204 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) in x 0.204 * [taylor]: Taking taylor expansion of 2.0 in x 0.204 * [backup-simplify]: Simplify 2.0 into 2.0 0.204 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (/ 1 y)) x) in x 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.204 * [taylor]: Taking taylor expansion of y in x 0.204 * [backup-simplify]: Simplify y into y 0.204 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.204 * [taylor]: Taking taylor expansion of x in x 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (* 2.0 (/ (+ (/ 1 x) (/ 1 y)) x)) 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 (/ (+ (/ 1 x) (/ 1 y)) x) in x 0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (/ 1 y)) in x 0.205 * [taylor]: Taking taylor expansion of (/ 1 x) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.205 * [taylor]: Taking taylor expansion of y in x 0.205 * [backup-simplify]: Simplify y into y 0.205 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.206 * [taylor]: Taking taylor expansion of 2.0 in y 0.206 * [backup-simplify]: Simplify 2.0 into 2.0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 0.207 * [backup-simplify]: Simplify (- (/ (/ 1 y) 1) (+ (* 1 (/ 0 1)))) into (/ 1 y) 0.208 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) (* 0 1)) into (* 2.0 (/ 1 y)) 0.208 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 0.208 * [taylor]: Taking taylor expansion of 2.0 in y 0.208 * [backup-simplify]: Simplify 2.0 into 2.0 0.208 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.208 * [taylor]: Taking taylor expansion of y in y 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.209 * [backup-simplify]: Simplify 2.0 into 2.0 0.209 * [backup-simplify]: Simplify 2.0 into 2.0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in y 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [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 0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.217 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [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 (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.227 * * * [progress]: simplifying candidates 0.227 * [simplify]: Simplifying: (expm1 (* (+ x y) (* 2.0 x))) (log1p (* (+ x y) (* 2.0 x))) (* (+ x y) (* 2.0 x)) (* (+ x y) (* 2.0 x)) (+ (log (+ x y)) (+ (log 2.0) (log x))) (+ (log (+ x y)) (log (* 2.0 x))) (log (* (+ x y) (* 2.0 x))) (exp (* (+ x y) (* 2.0 x))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* 2.0 2.0) 2.0) (* (* x x) x))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (* 2.0 x) (* 2.0 x)) (* 2.0 x))) (* (cbrt (* (+ x y) (* 2.0 x))) (cbrt (* (+ x y) (* 2.0 x)))) (cbrt (* (+ x y) (* 2.0 x))) (* (* (* (+ x y) (* 2.0 x)) (* (+ x y) (* 2.0 x))) (* (+ x y) (* 2.0 x))) (sqrt (* (+ x y) (* 2.0 x))) (sqrt (* (+ x y) (* 2.0 x))) (* (+ x y) 2.0) (* (cbrt (+ x y)) (* 2.0 x)) (* (sqrt (+ x y)) (* 2.0 x)) (* (+ x y) (* 2.0 x)) (* (+ x y) (* 2.0 x)) (* (+ (pow x 3) (pow y 3)) (* 2.0 x)) (* (- (* x x) (* y y)) (* 2.0 x)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 0.228 * * [simplify]: iteration 0: 52 enodes 0.237 * * [simplify]: iteration 1: 148 enodes 0.299 * * [simplify]: iteration 2: 728 enodes 0.621 * * [simplify]: iteration complete: 5001 enodes 0.622 * * [simplify]: Extracting #0: cost 15 inf + 0 0.623 * * [simplify]: Extracting #1: cost 428 inf + 0 0.629 * * [simplify]: Extracting #2: cost 1852 inf + 5534 0.652 * * [simplify]: Extracting #3: cost 1627 inf + 95840 0.706 * * [simplify]: Extracting #4: cost 303 inf + 320211 0.820 * * [simplify]: Extracting #5: cost 11 inf + 377862 0.922 * * [simplify]: Extracting #6: cost 3 inf + 378779 1.060 * * [simplify]: Extracting #7: cost 0 inf + 379538 1.151 * [simplify]: Simplified to: (expm1 (* (* 2.0 x) (+ y x))) (log1p (* (* 2.0 x) (+ y x))) (* (* 2.0 x) (+ y x)) (* (* 2.0 x) (+ y x)) (log (* (* 2.0 x) (+ y x))) (log (* (* 2.0 x) (+ y x))) (log (* (* 2.0 x) (+ y x))) (exp (* (* 2.0 x) (+ 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)) x) (* (* 2.0 (+ y x)) x))) (* (cbrt (* (* 2.0 x) (+ y x))) (cbrt (* (* 2.0 x) (+ y x)))) (cbrt (* (* 2.0 x) (+ y x))) (* (* (* 2.0 (+ y x)) x) (* (* (* 2.0 (+ y x)) x) (* (* 2.0 (+ y x)) x))) (sqrt (* (* 2.0 x) (+ y x))) (sqrt (* (* 2.0 x) (+ y x))) (* 2.0 (+ y x)) (* (* x (cbrt (+ x y))) 2.0) (* x (* 2.0 (sqrt (+ x y)))) (* (* 2.0 x) (+ y x)) (* (* 2.0 x) (+ y x)) (* (fma x (* x x) (* y (* y y))) (* 2.0 x)) (* (* (* 2.0 x) (+ y x)) (- x y)) (* (* x (+ y x)) 2.0) (* (* x (+ y x)) 2.0) (* (* x (+ y x)) 2.0) 1.153 * * * [progress]: adding candidates to table 1.265 * * [progress]: iteration 2 / 4 1.265 * * * [progress]: picking best candidate 1.278 * * * * [pick]: Picked # 1.278 * * * [progress]: localizing error 1.295 * * * [progress]: generating rewritten candidates 1.295 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2) 1.306 * * * * [progress]: [ 2 / 2 ] rewriting at (2) 1.330 * * * [progress]: generating series expansions 1.330 * * * * [progress]: [ 1 / 2 ] generating series at (2 2) 1.330 * [backup-simplify]: Simplify (+ (* x x) (* x y)) into (+ (pow x 2) (* x y)) 1.330 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 1.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.330 * [taylor]: Taking taylor expansion of x in y 1.330 * [backup-simplify]: Simplify x into x 1.330 * [taylor]: Taking taylor expansion of (* x y) in y 1.330 * [taylor]: Taking taylor expansion of x in y 1.330 * [backup-simplify]: Simplify x into x 1.330 * [taylor]: Taking taylor expansion of y in y 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of (* x y) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.330 * [backup-simplify]: Simplify 0 into 0 1.330 * [backup-simplify]: Simplify 1 into 1 1.330 * [taylor]: Taking taylor expansion of y in x 1.330 * [backup-simplify]: Simplify y into y 1.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 1.330 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.330 * [taylor]: Taking taylor expansion of x in x 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of (* x y) in x 1.331 * [taylor]: Taking taylor expansion of x in x 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [taylor]: Taking taylor expansion of y in x 1.331 * [backup-simplify]: Simplify y into y 1.331 * [backup-simplify]: Simplify (* 0 y) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.332 * [taylor]: Taking taylor expansion of 0 in y 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.332 * [backup-simplify]: Simplify (+ 0 y) into y 1.332 * [taylor]: Taking taylor expansion of y in y 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify (* 1 1) into 1 1.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.334 * [backup-simplify]: Simplify (+ 1 0) into 1 1.334 * [taylor]: Taking taylor expansion of 1 in y 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.336 * [backup-simplify]: Simplify (+ 0 0) into 0 1.336 * [taylor]: Taking taylor expansion of 0 in y 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [taylor]: Taking taylor expansion of 0 in y 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 1.338 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (* x y))) 1.338 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 1.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 1.338 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.338 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.338 * [taylor]: Taking taylor expansion of x in y 1.338 * [backup-simplify]: Simplify x into x 1.338 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.338 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.338 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.338 * [taylor]: Taking taylor expansion of (* x y) in y 1.338 * [taylor]: Taking taylor expansion of x in y 1.338 * [backup-simplify]: Simplify x into x 1.338 * [taylor]: Taking taylor expansion of y in y 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [backup-simplify]: Simplify (* x 0) into 0 1.339 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.339 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.339 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (* 1 1) into 1 1.339 * [backup-simplify]: Simplify (/ 1 1) into 1 1.339 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.339 * [taylor]: Taking taylor expansion of (* x y) in x 1.339 * [taylor]: Taking taylor expansion of x in x 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 1 into 1 1.339 * [taylor]: Taking taylor expansion of y in x 1.339 * [backup-simplify]: Simplify y into y 1.339 * [backup-simplify]: Simplify (* 0 y) into 0 1.340 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.340 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (* 1 1) into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.340 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.340 * [taylor]: Taking taylor expansion of (* x y) in x 1.340 * [taylor]: Taking taylor expansion of x in x 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [taylor]: Taking taylor expansion of y in x 1.340 * [backup-simplify]: Simplify y into y 1.340 * [backup-simplify]: Simplify (* 0 y) into 0 1.341 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.341 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.341 * [backup-simplify]: Simplify (+ 1 0) into 1 1.341 * [taylor]: Taking taylor expansion of 1 in y 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.342 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.342 * [taylor]: Taking taylor expansion of y in y 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (/ 1 1) into 1 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.344 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [taylor]: Taking taylor expansion of 0 in y 1.344 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.347 * [taylor]: Taking taylor expansion of 0 in y 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.350 * [backup-simplify]: Simplify (+ 0 0) into 0 1.350 * [taylor]: Taking taylor expansion of 0 in y 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 1.351 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (* x y))) 1.351 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.351 * [taylor]: Taking taylor expansion of x in y 1.351 * [backup-simplify]: Simplify x into x 1.351 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.351 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.351 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.351 * [taylor]: Taking taylor expansion of (* x y) in y 1.351 * [taylor]: Taking taylor expansion of x in y 1.351 * [backup-simplify]: Simplify x into x 1.351 * [taylor]: Taking taylor expansion of y in y 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.351 * [backup-simplify]: Simplify (* x 0) into 0 1.351 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.351 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.351 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.351 * [taylor]: Taking taylor expansion of x in x 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 1 into 1 1.352 * [backup-simplify]: Simplify (* 1 1) into 1 1.352 * [backup-simplify]: Simplify (/ 1 1) into 1 1.352 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.352 * [taylor]: Taking taylor expansion of (* x y) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.352 * [taylor]: Taking taylor expansion of y in x 1.352 * [backup-simplify]: Simplify y into y 1.352 * [backup-simplify]: Simplify (* 0 y) into 0 1.352 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.352 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.352 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.352 * [taylor]: Taking taylor expansion of x in x 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (* 1 1) into 1 1.353 * [backup-simplify]: Simplify (/ 1 1) into 1 1.353 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.353 * [taylor]: Taking taylor expansion of (* x y) in x 1.353 * [taylor]: Taking taylor expansion of x in x 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [taylor]: Taking taylor expansion of y in x 1.353 * [backup-simplify]: Simplify y into y 1.353 * [backup-simplify]: Simplify (* 0 y) into 0 1.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.353 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.354 * [backup-simplify]: Simplify (+ 1 0) into 1 1.354 * [taylor]: Taking taylor expansion of 1 in y 1.354 * [backup-simplify]: Simplify 1 into 1 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.354 * [taylor]: Taking taylor expansion of y in y 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (/ 1 1) into 1 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [taylor]: Taking taylor expansion of 0 in y 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.359 * [taylor]: Taking taylor expansion of 0 in y 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.364 * [taylor]: Taking taylor expansion of 0 in y 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 1.365 * * * * [progress]: [ 2 / 2 ] generating series at (2) 1.365 * [backup-simplify]: Simplify (* 2.0 (+ (* x x) (* x y))) into (* 2.0 (+ (pow x 2) (* x y))) 1.365 * [approximate]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in (x y) around 0 1.365 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in y 1.365 * [taylor]: Taking taylor expansion of 2.0 in y 1.365 * [backup-simplify]: Simplify 2.0 into 2.0 1.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 1.365 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.365 * [taylor]: Taking taylor expansion of (* x y) in y 1.365 * [taylor]: Taking taylor expansion of x in y 1.365 * [backup-simplify]: Simplify x into x 1.366 * [taylor]: Taking taylor expansion of y in y 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 1.366 * [taylor]: Taking taylor expansion of 2.0 in x 1.366 * [backup-simplify]: Simplify 2.0 into 2.0 1.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 1.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [taylor]: Taking taylor expansion of (* x y) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [taylor]: Taking taylor expansion of y in x 1.366 * [backup-simplify]: Simplify y into y 1.366 * [taylor]: Taking taylor expansion of (* 2.0 (+ (pow x 2) (* x y))) in x 1.366 * [taylor]: Taking taylor expansion of 2.0 in x 1.366 * [backup-simplify]: Simplify 2.0 into 2.0 1.366 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 1.366 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [taylor]: Taking taylor expansion of (* x y) in x 1.366 * [taylor]: Taking taylor expansion of x in x 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 1 into 1 1.366 * [taylor]: Taking taylor expansion of y in x 1.366 * [backup-simplify]: Simplify y into y 1.366 * [backup-simplify]: Simplify (* 0 y) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.367 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.367 * [taylor]: Taking taylor expansion of 0 in y 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.368 * [backup-simplify]: Simplify (+ 0 y) into y 1.368 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y) 1.368 * [taylor]: Taking taylor expansion of (* 2.0 y) in y 1.368 * [taylor]: Taking taylor expansion of 2.0 in y 1.368 * [backup-simplify]: Simplify 2.0 into 2.0 1.368 * [taylor]: Taking taylor expansion of y in y 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* 2.0 0) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (* 1 1) into 1 1.370 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.370 * [backup-simplify]: Simplify (+ 1 0) into 1 1.371 * [backup-simplify]: Simplify (+ (* 2.0 1) (+ (* 0 y) (* 0 0))) into 2.0 1.371 * [taylor]: Taking taylor expansion of 2.0 in y 1.371 * [backup-simplify]: Simplify 2.0 into 2.0 1.371 * [backup-simplify]: Simplify 2.0 into 2.0 1.373 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 1.373 * [backup-simplify]: Simplify 2.0 into 2.0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0)))) into 0 1.376 * [taylor]: Taking taylor expansion of 0 in y 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.379 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 1) (+ (* 0 y) (* 0 0))))) into 0 1.380 * [taylor]: Taking taylor expansion of 0 in y 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 2.0 (pow (* 1 x) 2))) into (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 1.381 * [backup-simplify]: Simplify (* 2.0 (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 y)))) into (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) 1.381 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 1.381 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 1.381 * [taylor]: Taking taylor expansion of 2.0 in y 1.381 * [backup-simplify]: Simplify 2.0 into 2.0 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.381 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.381 * [taylor]: Taking taylor expansion of x in y 1.381 * [backup-simplify]: Simplify x into x 1.381 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.381 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.381 * [taylor]: Taking taylor expansion of (* x y) in y 1.381 * [taylor]: Taking taylor expansion of x in y 1.381 * [backup-simplify]: Simplify x into x 1.381 * [taylor]: Taking taylor expansion of y in y 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (* x 0) into 0 1.381 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.381 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.381 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 1.381 * [taylor]: Taking taylor expansion of 2.0 in x 1.381 * [backup-simplify]: Simplify 2.0 into 2.0 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.381 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.381 * [taylor]: Taking taylor expansion of x in x 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (* 1 1) into 1 1.382 * [backup-simplify]: Simplify (/ 1 1) into 1 1.382 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.382 * [taylor]: Taking taylor expansion of (* x y) in x 1.382 * [taylor]: Taking taylor expansion of x in x 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [taylor]: Taking taylor expansion of y in x 1.382 * [backup-simplify]: Simplify y into y 1.382 * [backup-simplify]: Simplify (* 0 y) into 0 1.382 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.382 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.382 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 1.382 * [taylor]: Taking taylor expansion of 2.0 in x 1.383 * [backup-simplify]: Simplify 2.0 into 2.0 1.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [backup-simplify]: Simplify (* 1 1) into 1 1.383 * [backup-simplify]: Simplify (/ 1 1) into 1 1.383 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.383 * [taylor]: Taking taylor expansion of (* x y) in x 1.383 * [taylor]: Taking taylor expansion of x in x 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [taylor]: Taking taylor expansion of y in x 1.383 * [backup-simplify]: Simplify y into y 1.383 * [backup-simplify]: Simplify (* 0 y) into 0 1.383 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.383 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.384 * [backup-simplify]: Simplify (+ 1 0) into 1 1.384 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.384 * [taylor]: Taking taylor expansion of 2.0 in y 1.384 * [backup-simplify]: Simplify 2.0 into 2.0 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.385 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.385 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) (* 0 1)) into (* 2.0 (/ 1 y)) 1.385 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.386 * [taylor]: Taking taylor expansion of 2.0 in y 1.386 * [backup-simplify]: Simplify 2.0 into 2.0 1.386 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.386 * [taylor]: Taking taylor expansion of y in y 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.388 * [backup-simplify]: Simplify 2.0 into 2.0 1.388 * [backup-simplify]: Simplify 2.0 into 2.0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.391 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 1.391 * [taylor]: Taking taylor expansion of 0 in y 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.395 * [taylor]: Taking taylor expansion of 0 in y 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.398 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.398 * [backup-simplify]: Simplify (+ 0 0) into 0 1.399 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.399 * [taylor]: Taking taylor expansion of 0 in y 1.399 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 1.400 * [backup-simplify]: Simplify (* 2.0 (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- y))))) into (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) 1.400 * [approximate]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 1.400 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 1.400 * [taylor]: Taking taylor expansion of 2.0 in y 1.400 * [backup-simplify]: Simplify 2.0 into 2.0 1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 1.400 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.400 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.400 * [taylor]: Taking taylor expansion of x in y 1.400 * [backup-simplify]: Simplify x into x 1.400 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.400 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.400 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 1.400 * [taylor]: Taking taylor expansion of (* x y) in y 1.400 * [taylor]: Taking taylor expansion of x in y 1.400 * [backup-simplify]: Simplify x into x 1.400 * [taylor]: Taking taylor expansion of y in y 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify (* x 0) into 0 1.401 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 1.401 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.401 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 1.401 * [taylor]: Taking taylor expansion of 2.0 in x 1.401 * [backup-simplify]: Simplify 2.0 into 2.0 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (* 1 1) into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.401 * [taylor]: Taking taylor expansion of (* x y) in x 1.401 * [taylor]: Taking taylor expansion of x in x 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [taylor]: Taking taylor expansion of y in x 1.401 * [backup-simplify]: Simplify y into y 1.402 * [backup-simplify]: Simplify (* 0 y) into 0 1.402 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.402 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.402 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 1.402 * [taylor]: Taking taylor expansion of 2.0 in x 1.402 * [backup-simplify]: Simplify 2.0 into 2.0 1.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 1.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (* 1 1) into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 1.402 * [taylor]: Taking taylor expansion of (* x y) in x 1.402 * [taylor]: Taking taylor expansion of x in x 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [taylor]: Taking taylor expansion of y in x 1.403 * [backup-simplify]: Simplify y into y 1.403 * [backup-simplify]: Simplify (* 0 y) into 0 1.403 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 1.403 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.403 * [backup-simplify]: Simplify (+ 1 0) into 1 1.403 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.403 * [taylor]: Taking taylor expansion of 2.0 in y 1.404 * [backup-simplify]: Simplify 2.0 into 2.0 1.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.404 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 1.405 * [backup-simplify]: Simplify (+ (* 2.0 (/ 1 y)) (* 0 1)) into (* 2.0 (/ 1 y)) 1.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y 1.405 * [taylor]: Taking taylor expansion of 2.0 in y 1.405 * [backup-simplify]: Simplify 2.0 into 2.0 1.405 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.405 * [taylor]: Taking taylor expansion of y in y 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 1.405 * [backup-simplify]: Simplify 2.0 into 2.0 1.405 * [backup-simplify]: Simplify 2.0 into 2.0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 1.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.407 * [backup-simplify]: Simplify (+ 0 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (/ 1 y)) (* 0 1))) into 0 1.408 * [taylor]: Taking taylor expansion of 0 in y 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.412 * [taylor]: Taking taylor expansion of 0 in y 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify 0 into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.415 * [backup-simplify]: Simplify (+ 0 0) into 0 1.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.416 * [taylor]: Taking taylor expansion of 0 in y 1.416 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify (+ (* 2.0 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 1.417 * * * [progress]: simplifying candidates 1.417 * [simplify]: Simplifying: (expm1 (+ (* x x) (* x y))) (log1p (+ (* x x) (* x y))) (* (exp (* x x)) (exp (* x y))) (log (+ (* x x) (* x y))) (exp (+ (* x x) (* x y))) (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y)))) (cbrt (+ (* x x) (* x y))) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (- (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (- (* x x) (* x y)) (+ x y) (expm1 (* 2.0 (+ (* x x) (* x y)))) (log1p (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y))) (+ (log 2.0) (log (+ (* x x) (* x y)))) (log (* 2.0 (+ (* x x) (* x y)))) (exp (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 2.0) 2.0) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y)))) (* (cbrt (* 2.0 (+ (* x x) (* x y)))) (cbrt (* 2.0 (+ (* x x) (* x y))))) (cbrt (* 2.0 (+ (* x x) (* x y)))) (* (* (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y)))) (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (sqrt (* 2.0 (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* (sqrt 2.0) (sqrt (+ (* x x) (* x y)))) (* 2.0 (* x x)) (* 2.0 (* x y)) (* (* x x) 2.0) (* (* x y) 2.0) (* 2.0 (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (* 2.0 (sqrt (+ (* x x) (* x y)))) (* 2.0 1) (* 2.0 x) (* (cbrt 2.0) (+ (* x x) (* x y))) (* (sqrt 2.0) (+ (* x x) (* x y))) (* 2.0 (+ (* x x) (* x y))) (* 2.0 (+ (pow (* x x) 3) (pow (* x y) 3))) (* 2.0 (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) (+ (* 2.0 (pow x 2)) (* 2.0 (* x y))) 1.418 * * [simplify]: iteration 0: 66 enodes 1.434 * * [simplify]: iteration 1: 224 enodes 1.576 * * [simplify]: iteration 2: 1159 enodes 2.217 * * [simplify]: iteration complete: 5002 enodes 2.217 * * [simplify]: Extracting #0: cost 35 inf + 0 2.224 * * [simplify]: Extracting #1: cost 765 inf + 1 2.234 * * [simplify]: Extracting #2: cost 1686 inf + 14899 2.270 * * [simplify]: Extracting #3: cost 1218 inf + 127776 2.339 * * [simplify]: Extracting #4: cost 185 inf + 347657 2.429 * * [simplify]: Extracting #5: cost 8 inf + 394215 2.540 * * [simplify]: Extracting #6: cost 0 inf + 396379 2.625 * [simplify]: Simplified to: (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (exp (* x (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* (* x (+ x y)) (* x (+ x y))) (* x (+ x y))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (* x (* x x)) (fma (* y y) y (* x (* x x)))) (fma (* x x) (* x x) (* (* x y) (- (* x y) (* x x)))) (* (* x x) (- (* x x) (* y y))) (* (- x y) x) (+ x y) (expm1 (* x (* (+ x y) 2.0))) (log1p (* x (* (+ x y) 2.0))) (* x (* (+ x y) 2.0)) (log (* x (* (+ x y) 2.0))) (log (* x (* (+ x y) 2.0))) (exp (* x (* (+ x y) 2.0))) (* 2.0 (* (* x (+ x y)) (* (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0)))) (* (cbrt (* x (* (+ x y) 2.0))) (cbrt (* x (* (+ x y) 2.0)))) (cbrt (* x (* (+ x y) 2.0))) (* 2.0 (* (* x (+ x y)) (* (* (* x (+ x y)) 2.0) (* (* x (+ x y)) 2.0)))) (sqrt (* x (* (+ x y) 2.0))) (sqrt (* x (* (+ x y) 2.0))) (* (sqrt (* x (+ x y))) (sqrt 2.0)) (* (sqrt (* x (+ x y))) (sqrt 2.0)) (* x (* x 2.0)) (* (* 2.0 y) x) (* 2.0 (* x x)) (* (* 2.0 y) x) (* 2.0 (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y))))) (* 2.0 (sqrt (* x (+ x y)))) 2.0 (* x 2.0) (* (cbrt 2.0) (* x (+ x y))) (* (* x (+ x y)) (sqrt 2.0)) (* x (* (+ x y) 2.0)) (* (* (* x (* x x)) (fma (* y y) y (* x (* x x)))) 2.0) (* 2.0 (* (* x x) (- (* x x) (* y y)))) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* x (* (+ x y) 2.0)) (* x (* (+ x y) 2.0)) (* x (* (+ x y) 2.0)) 2.629 * * * [progress]: adding candidates to table 2.830 * * [progress]: iteration 3 / 4 2.830 * * * [progress]: picking best candidate 2.833 * * * * [pick]: Picked # 2.833 * * * [progress]: localizing error 2.854 * * * [progress]: generating rewritten candidates 2.854 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 2.860 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.867 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.917 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2 1) 2.938 * * * [progress]: generating series expansions 2.938 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 2.938 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* x y))) into (sqrt (+ (pow x 2) (* x y))) 2.939 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* x y))) in (x y) around 0 2.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* x y))) in y 2.939 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 2.939 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.939 * [taylor]: Taking taylor expansion of x in y 2.939 * [backup-simplify]: Simplify x into x 2.939 * [taylor]: Taking taylor expansion of (* x y) in y 2.939 * [taylor]: Taking taylor expansion of x in y 2.939 * [backup-simplify]: Simplify x into x 2.939 * [taylor]: Taking taylor expansion of y in y 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.939 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.939 * [backup-simplify]: Simplify (* x 0) into 0 2.939 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.939 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 2.939 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.940 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.940 * [backup-simplify]: Simplify (+ 0 x) into x 2.940 * [backup-simplify]: Simplify (/ x (* 2 (sqrt (pow x 2)))) into 1/2 2.940 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* x y))) in x 2.940 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 2.940 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.940 * [taylor]: Taking taylor expansion of x in x 2.940 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify 1 into 1 2.941 * [taylor]: Taking taylor expansion of (* x y) in x 2.941 * [taylor]: Taking taylor expansion of x in x 2.941 * [backup-simplify]: Simplify 0 into 0 2.941 * [backup-simplify]: Simplify 1 into 1 2.941 * [taylor]: Taking taylor expansion of y in x 2.941 * [backup-simplify]: Simplify y into y 2.941 * [backup-simplify]: Simplify (* 0 y) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.942 * [backup-simplify]: Simplify (+ 0 y) into y 2.942 * [backup-simplify]: Simplify (sqrt 0) into 0 2.942 * [backup-simplify]: Simplify (/ y (* 2 (sqrt 0))) into (* +nan.0 y) 2.943 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* x y))) in x 2.943 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 2.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.943 * [taylor]: Taking taylor expansion of x in x 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [taylor]: Taking taylor expansion of (* x y) in x 2.943 * [taylor]: Taking taylor expansion of x in x 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [taylor]: Taking taylor expansion of y in x 2.943 * [backup-simplify]: Simplify y into y 2.943 * [backup-simplify]: Simplify (* 0 y) into 0 2.943 * [backup-simplify]: Simplify (+ 0 0) into 0 2.944 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.944 * [backup-simplify]: Simplify (+ 0 y) into y 2.944 * [backup-simplify]: Simplify (sqrt 0) into 0 2.945 * [backup-simplify]: Simplify (/ y (* 2 (sqrt 0))) into (* +nan.0 y) 2.945 * [taylor]: Taking taylor expansion of 0 in y 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 2.945 * [taylor]: Taking taylor expansion of +nan.0 in y 2.945 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.945 * [taylor]: Taking taylor expansion of y in y 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (* +nan.0 0) into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 0 into 0 2.946 * [backup-simplify]: Simplify (* 1 1) into 1 2.947 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.947 * [backup-simplify]: Simplify (+ 1 0) into 1 2.948 * [backup-simplify]: Simplify (/ (- 1 (pow (* +nan.0 y) 2) (+)) (* 2 0)) into (* +nan.0 (- 1 (* +nan.0 (pow y 2)))) 2.948 * [taylor]: Taking taylor expansion of (* +nan.0 (- 1 (* +nan.0 (pow y 2)))) in y 2.948 * [taylor]: Taking taylor expansion of +nan.0 in y 2.948 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.948 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (pow y 2))) in y 2.948 * [taylor]: Taking taylor expansion of 1 in y 2.948 * [backup-simplify]: Simplify 1 into 1 2.948 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 2.948 * [taylor]: Taking taylor expansion of +nan.0 in y 2.948 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.948 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.948 * [taylor]: Taking taylor expansion of y in y 2.948 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (+ 1 0) into 1 2.949 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 2.949 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.950 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) 2.950 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.950 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.951 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.952 * [backup-simplify]: Simplify (+ 0 0) into 0 2.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 y) (* +nan.0 (- 1 (* +nan.0 (pow y 2)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y)))) 2.952 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y)))) in y 2.952 * [taylor]: Taking taylor expansion of +nan.0 in y 2.952 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.952 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y))) in y 2.952 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 3)) in y 2.952 * [taylor]: Taking taylor expansion of +nan.0 in y 2.952 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.952 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.952 * [taylor]: Taking taylor expansion of y in y 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.952 * [taylor]: Taking taylor expansion of (- (* +nan.0 y)) in y 2.952 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 2.952 * [taylor]: Taking taylor expansion of +nan.0 in y 2.952 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.952 * [taylor]: Taking taylor expansion of y in y 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (* +nan.0 0) into 0 2.953 * [backup-simplify]: Simplify (- 0) into 0 2.953 * [backup-simplify]: Simplify (+ 0 0) into 0 2.953 * [backup-simplify]: Simplify (* +nan.0 0) into 0 2.953 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 2.954 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 1) (* 0 0))) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.956 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.956 * [backup-simplify]: Simplify (+ 0 0) into 0 2.957 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- 1 (* +nan.0 (pow y 2)))) 2) (+ (* 2 (* (* +nan.0 y) (* +nan.0 (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow y 4)) (- (+ (* +nan.0 (pow y 2)) (- +nan.0))))) 2.957 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 4)) (- (+ (* +nan.0 (pow y 2)) (- +nan.0))))) in y 2.957 * [taylor]: Taking taylor expansion of +nan.0 in y 2.957 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.957 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 4)) (- (+ (* +nan.0 (pow y 2)) (- +nan.0)))) in y 2.957 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 4)) in y 2.957 * [taylor]: Taking taylor expansion of +nan.0 in y 2.957 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.957 * [taylor]: Taking taylor expansion of (pow y 4) in y 2.957 * [taylor]: Taking taylor expansion of y in y 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow y 2)) (- +nan.0))) in y 2.957 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 2)) (- +nan.0)) in y 2.957 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 2.957 * [taylor]: Taking taylor expansion of +nan.0 in y 2.957 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.957 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.957 * [taylor]: Taking taylor expansion of y in y 2.957 * [backup-simplify]: Simplify 0 into 0 2.957 * [backup-simplify]: Simplify 1 into 1 2.957 * [taylor]: Taking taylor expansion of (- +nan.0) in y 2.958 * [taylor]: Taking taylor expansion of +nan.0 in y 2.958 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.958 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.958 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 2.959 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 2.959 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 2.960 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 2.960 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.960 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* 1 x) 4)) (+ (* (- +nan.0) (* y x)) (* +nan.0 (pow (* 1 x) 2)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 4)) (- (* +nan.0 (* x y))))))) 2.961 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) 2.961 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 2.961 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 2.961 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.961 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.961 * [taylor]: Taking taylor expansion of x in y 2.961 * [backup-simplify]: Simplify x into x 2.961 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.961 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.961 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.961 * [taylor]: Taking taylor expansion of (* x y) in y 2.961 * [taylor]: Taking taylor expansion of x in y 2.961 * [backup-simplify]: Simplify x into x 2.961 * [taylor]: Taking taylor expansion of y in y 2.961 * [backup-simplify]: Simplify 0 into 0 2.961 * [backup-simplify]: Simplify 1 into 1 2.961 * [backup-simplify]: Simplify (* x 0) into 0 2.961 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.961 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.961 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 2.961 * [backup-simplify]: Simplify (sqrt 0) into 0 2.962 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 2.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 2.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (* 1 1) into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.962 * [taylor]: Taking taylor expansion of (* x y) in x 2.962 * [taylor]: Taking taylor expansion of x in x 2.962 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.963 * [taylor]: Taking taylor expansion of y in x 2.963 * [backup-simplify]: Simplify y into y 2.963 * [backup-simplify]: Simplify (* 0 y) into 0 2.963 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.963 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.963 * [backup-simplify]: Simplify (+ 1 0) into 1 2.963 * [backup-simplify]: Simplify (sqrt 1) into 1 2.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.964 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.965 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 1))) into (/ 1/2 y) 2.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 2.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [backup-simplify]: Simplify (* 1 1) into 1 2.965 * [backup-simplify]: Simplify (/ 1 1) into 1 2.965 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.965 * [taylor]: Taking taylor expansion of (* x y) in x 2.965 * [taylor]: Taking taylor expansion of x in x 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * [taylor]: Taking taylor expansion of y in x 2.965 * [backup-simplify]: Simplify y into y 2.965 * [backup-simplify]: Simplify (* 0 y) into 0 2.966 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.966 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.966 * [backup-simplify]: Simplify (+ 1 0) into 1 2.966 * [backup-simplify]: Simplify (sqrt 1) into 1 2.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.967 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.967 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 1))) into (/ 1/2 y) 2.967 * [taylor]: Taking taylor expansion of 1 in y 2.967 * [backup-simplify]: Simplify 1 into 1 2.967 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.967 * [taylor]: Taking taylor expansion of 1/2 in y 2.967 * [backup-simplify]: Simplify 1/2 into 1/2 2.967 * [taylor]: Taking taylor expansion of y in y 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.968 * [backup-simplify]: Simplify 1/2 into 1/2 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.969 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.970 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+)) (* 2 1)) into (/ -1/8 (pow y 2)) 2.970 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.970 * [taylor]: Taking taylor expansion of -1/8 in y 2.970 * [backup-simplify]: Simplify -1/8 into -1/8 2.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.970 * [taylor]: Taking taylor expansion of y in y 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 1 into 1 2.971 * [backup-simplify]: Simplify (* 1 1) into 1 2.971 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.972 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 2.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.974 * [backup-simplify]: Simplify (+ 0 0) into 0 2.975 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 y) (/ -1/8 (pow y 2)))))) (* 2 1)) into (/ 1/16 (pow y 3)) 2.975 * [taylor]: Taking taylor expansion of (/ 1/16 (pow y 3)) in y 2.975 * [taylor]: Taking taylor expansion of 1/16 in y 2.975 * [backup-simplify]: Simplify 1/16 into 1/16 2.975 * [taylor]: Taking taylor expansion of (pow y 3) in y 2.975 * [taylor]: Taking taylor expansion of y in y 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (* 1 1) into 1 2.976 * [backup-simplify]: Simplify (* 1 1) into 1 2.977 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 2.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.980 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.981 * [backup-simplify]: Simplify 0 into 0 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1/2 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1/2 y)) 2.985 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) 2.985 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 2.985 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 2.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 2.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.985 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.985 * [taylor]: Taking taylor expansion of x in y 2.985 * [backup-simplify]: Simplify x into x 2.985 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.985 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.985 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 2.985 * [taylor]: Taking taylor expansion of (* x y) in y 2.985 * [taylor]: Taking taylor expansion of x in y 2.985 * [backup-simplify]: Simplify x into x 2.985 * [taylor]: Taking taylor expansion of y in y 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 1 into 1 2.986 * [backup-simplify]: Simplify (* x 0) into 0 2.986 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 2.986 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.986 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 2.987 * [backup-simplify]: Simplify (sqrt 0) into 0 2.987 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 2.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 2.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 2.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.987 * [taylor]: Taking taylor expansion of x in x 2.987 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.988 * [backup-simplify]: Simplify (* 1 1) into 1 2.988 * [backup-simplify]: Simplify (/ 1 1) into 1 2.988 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.988 * [taylor]: Taking taylor expansion of (* x y) in x 2.988 * [taylor]: Taking taylor expansion of x in x 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.988 * [taylor]: Taking taylor expansion of y in x 2.988 * [backup-simplify]: Simplify y into y 2.988 * [backup-simplify]: Simplify (* 0 y) into 0 2.989 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.989 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.989 * [backup-simplify]: Simplify (+ 1 0) into 1 2.990 * [backup-simplify]: Simplify (sqrt 1) into 1 2.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.991 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.991 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 1))) into (/ 1/2 y) 2.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 2.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 2.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.991 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.991 * [taylor]: Taking taylor expansion of x in x 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (* 1 1) into 1 2.992 * [backup-simplify]: Simplify (/ 1 1) into 1 2.992 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 2.992 * [taylor]: Taking taylor expansion of (* x y) in x 2.992 * [taylor]: Taking taylor expansion of x in x 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [taylor]: Taking taylor expansion of y in x 2.992 * [backup-simplify]: Simplify y into y 2.992 * [backup-simplify]: Simplify (* 0 y) into 0 2.992 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 2.992 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.993 * [backup-simplify]: Simplify (+ 1 0) into 1 2.993 * [backup-simplify]: Simplify (sqrt 1) into 1 2.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.994 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 2.994 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 1))) into (/ 1/2 y) 2.994 * [taylor]: Taking taylor expansion of 1 in y 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 2.994 * [taylor]: Taking taylor expansion of 1/2 in y 2.994 * [backup-simplify]: Simplify 1/2 into 1/2 2.994 * [taylor]: Taking taylor expansion of y in y 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.994 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.995 * [backup-simplify]: Simplify 1/2 into 1/2 2.995 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 2.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.997 * [backup-simplify]: Simplify (+ 0 0) into 0 2.998 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+)) (* 2 1)) into (/ -1/8 (pow y 2)) 2.998 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 2.998 * [taylor]: Taking taylor expansion of -1/8 in y 2.998 * [backup-simplify]: Simplify -1/8 into -1/8 2.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.999 * [taylor]: Taking taylor expansion of y in y 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (* 1 1) into 1 2.999 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.001 * [backup-simplify]: Simplify 0 into 0 3.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.002 * [backup-simplify]: Simplify 0 into 0 3.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.005 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.005 * [backup-simplify]: Simplify (+ 0 0) into 0 3.006 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 y) (/ -1/8 (pow y 2)))))) (* 2 1)) into (/ 1/16 (pow y 3)) 3.006 * [taylor]: Taking taylor expansion of (/ 1/16 (pow y 3)) in y 3.006 * [taylor]: Taking taylor expansion of 1/16 in y 3.006 * [backup-simplify]: Simplify 1/16 into 1/16 3.006 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.006 * [taylor]: Taking taylor expansion of y in y 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 1 into 1 3.006 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (* 1 1) into 1 3.007 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 3.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.013 * [backup-simplify]: Simplify 0 into 0 3.014 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.014 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1/2 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1/2 y))) 3.015 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 3.015 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* x y))) into (sqrt (+ (pow x 2) (* x y))) 3.015 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (* x y))) in (x y) around 0 3.015 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* x y))) in y 3.015 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 3.015 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.015 * [taylor]: Taking taylor expansion of x in y 3.015 * [backup-simplify]: Simplify x into x 3.015 * [taylor]: Taking taylor expansion of (* x y) in y 3.015 * [taylor]: Taking taylor expansion of x in y 3.015 * [backup-simplify]: Simplify x into x 3.015 * [taylor]: Taking taylor expansion of y in y 3.015 * [backup-simplify]: Simplify 0 into 0 3.015 * [backup-simplify]: Simplify 1 into 1 3.015 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.015 * [backup-simplify]: Simplify (* x 0) into 0 3.016 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 3.016 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 3.016 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 3.016 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.016 * [backup-simplify]: Simplify (+ 0 x) into x 3.016 * [backup-simplify]: Simplify (/ x (* 2 (sqrt (pow x 2)))) into 1/2 3.016 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* x y))) in x 3.016 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 3.016 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.017 * [taylor]: Taking taylor expansion of x in x 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [taylor]: Taking taylor expansion of (* x y) in x 3.017 * [taylor]: Taking taylor expansion of x in x 3.017 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify 1 into 1 3.017 * [taylor]: Taking taylor expansion of y in x 3.017 * [backup-simplify]: Simplify y into y 3.017 * [backup-simplify]: Simplify (* 0 y) into 0 3.017 * [backup-simplify]: Simplify (+ 0 0) into 0 3.018 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.018 * [backup-simplify]: Simplify (+ 0 y) into y 3.018 * [backup-simplify]: Simplify (sqrt 0) into 0 3.018 * [backup-simplify]: Simplify (/ y (* 2 (sqrt 0))) into (* +nan.0 y) 3.018 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (* x y))) in x 3.019 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 3.019 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.019 * [taylor]: Taking taylor expansion of x in x 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 1 into 1 3.019 * [taylor]: Taking taylor expansion of (* x y) in x 3.019 * [taylor]: Taking taylor expansion of x in x 3.019 * [backup-simplify]: Simplify 0 into 0 3.019 * [backup-simplify]: Simplify 1 into 1 3.019 * [taylor]: Taking taylor expansion of y in x 3.019 * [backup-simplify]: Simplify y into y 3.019 * [backup-simplify]: Simplify (* 0 y) into 0 3.019 * [backup-simplify]: Simplify (+ 0 0) into 0 3.020 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.020 * [backup-simplify]: Simplify (+ 0 y) into y 3.020 * [backup-simplify]: Simplify (sqrt 0) into 0 3.020 * [backup-simplify]: Simplify (/ y (* 2 (sqrt 0))) into (* +nan.0 y) 3.021 * [taylor]: Taking taylor expansion of 0 in y 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 3.021 * [taylor]: Taking taylor expansion of +nan.0 in y 3.021 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.021 * [taylor]: Taking taylor expansion of y in y 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 1 into 1 3.021 * [backup-simplify]: Simplify (* +nan.0 0) into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.022 * [backup-simplify]: Simplify (* 1 1) into 1 3.022 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.023 * [backup-simplify]: Simplify (+ 1 0) into 1 3.024 * [backup-simplify]: Simplify (/ (- 1 (pow (* +nan.0 y) 2) (+)) (* 2 0)) into (* +nan.0 (- 1 (* +nan.0 (pow y 2)))) 3.024 * [taylor]: Taking taylor expansion of (* +nan.0 (- 1 (* +nan.0 (pow y 2)))) in y 3.024 * [taylor]: Taking taylor expansion of +nan.0 in y 3.024 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.024 * [taylor]: Taking taylor expansion of (- 1 (* +nan.0 (pow y 2))) in y 3.024 * [taylor]: Taking taylor expansion of 1 in y 3.024 * [backup-simplify]: Simplify 1 into 1 3.024 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 3.024 * [taylor]: Taking taylor expansion of +nan.0 in y 3.024 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.024 * [taylor]: Taking taylor expansion of y in y 3.024 * [backup-simplify]: Simplify 0 into 0 3.024 * [backup-simplify]: Simplify 1 into 1 3.025 * [backup-simplify]: Simplify (+ 1 0) into 1 3.025 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 3.025 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.026 * [backup-simplify]: Simplify (+ (* +nan.0 1) (* 0 0)) into (- +nan.0) 3.027 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.027 * [backup-simplify]: Simplify 0 into 0 3.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.028 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.029 * [backup-simplify]: Simplify (+ 0 0) into 0 3.030 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (* +nan.0 y) (* +nan.0 (- 1 (* +nan.0 (pow y 2)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y)))) 3.030 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y)))) in y 3.030 * [taylor]: Taking taylor expansion of +nan.0 in y 3.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.030 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y))) in y 3.030 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 3)) in y 3.030 * [taylor]: Taking taylor expansion of +nan.0 in y 3.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.030 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.030 * [taylor]: Taking taylor expansion of y in y 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [taylor]: Taking taylor expansion of (- (* +nan.0 y)) in y 3.030 * [taylor]: Taking taylor expansion of (* +nan.0 y) in y 3.030 * [taylor]: Taking taylor expansion of +nan.0 in y 3.030 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.030 * [taylor]: Taking taylor expansion of y in y 3.030 * [backup-simplify]: Simplify 0 into 0 3.030 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (* +nan.0 0) into 0 3.031 * [backup-simplify]: Simplify (- 0) into 0 3.031 * [backup-simplify]: Simplify (+ 0 0) into 0 3.031 * [backup-simplify]: Simplify (* +nan.0 0) into 0 3.032 * [backup-simplify]: Simplify 0 into 0 3.032 * [backup-simplify]: Simplify (+ 0 0) into 0 3.033 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 3.033 * [backup-simplify]: Simplify 0 into 0 3.033 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 1) (* 0 0))) into 0 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify 0 into 0 3.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.036 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.036 * [backup-simplify]: Simplify (+ 0 0) into 0 3.040 * [backup-simplify]: Simplify (/ (- 0 (pow (* +nan.0 (- 1 (* +nan.0 (pow y 2)))) 2) (+ (* 2 (* (* +nan.0 y) (* +nan.0 (+ (* +nan.0 (pow y 3)) (- (* +nan.0 y)))))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (pow y 4)) (- (+ (* +nan.0 (pow y 2)) (- +nan.0))))) 3.040 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (pow y 4)) (- (+ (* +nan.0 (pow y 2)) (- +nan.0))))) in y 3.040 * [taylor]: Taking taylor expansion of +nan.0 in y 3.040 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.040 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 4)) (- (+ (* +nan.0 (pow y 2)) (- +nan.0)))) in y 3.040 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 4)) in y 3.040 * [taylor]: Taking taylor expansion of +nan.0 in y 3.040 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.040 * [taylor]: Taking taylor expansion of (pow y 4) in y 3.040 * [taylor]: Taking taylor expansion of y in y 3.040 * [backup-simplify]: Simplify 0 into 0 3.040 * [backup-simplify]: Simplify 1 into 1 3.041 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow y 2)) (- +nan.0))) in y 3.041 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow y 2)) (- +nan.0)) in y 3.041 * [taylor]: Taking taylor expansion of (* +nan.0 (pow y 2)) in y 3.041 * [taylor]: Taking taylor expansion of +nan.0 in y 3.041 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.041 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.041 * [taylor]: Taking taylor expansion of y in y 3.041 * [backup-simplify]: Simplify 0 into 0 3.041 * [backup-simplify]: Simplify 1 into 1 3.041 * [taylor]: Taking taylor expansion of (- +nan.0) in y 3.041 * [taylor]: Taking taylor expansion of +nan.0 in y 3.041 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.041 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 3.042 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 3.043 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0) 3.044 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 3.045 * [backup-simplify]: Simplify (* +nan.0 (- +nan.0)) into +nan.0 3.045 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.046 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* 1 x) 4)) (+ (* (- +nan.0) (* y x)) (* +nan.0 (pow (* 1 x) 2)))) into (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 4)) (- (* +nan.0 (* x y))))))) 3.046 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) 3.046 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 3.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 3.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 3.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.046 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.046 * [taylor]: Taking taylor expansion of x in y 3.046 * [backup-simplify]: Simplify x into x 3.046 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.046 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.047 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.047 * [taylor]: Taking taylor expansion of (* x y) in y 3.047 * [taylor]: Taking taylor expansion of x in y 3.047 * [backup-simplify]: Simplify x into x 3.047 * [taylor]: Taking taylor expansion of y in y 3.047 * [backup-simplify]: Simplify 0 into 0 3.047 * [backup-simplify]: Simplify 1 into 1 3.047 * [backup-simplify]: Simplify (* x 0) into 0 3.047 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.047 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.047 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.048 * [backup-simplify]: Simplify (sqrt 0) into 0 3.048 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 3.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 3.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.048 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.048 * [taylor]: Taking taylor expansion of x in x 3.048 * [backup-simplify]: Simplify 0 into 0 3.048 * [backup-simplify]: Simplify 1 into 1 3.049 * [backup-simplify]: Simplify (* 1 1) into 1 3.049 * [backup-simplify]: Simplify (/ 1 1) into 1 3.049 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.049 * [taylor]: Taking taylor expansion of (* x y) in x 3.049 * [taylor]: Taking taylor expansion of x in x 3.049 * [backup-simplify]: Simplify 0 into 0 3.049 * [backup-simplify]: Simplify 1 into 1 3.049 * [taylor]: Taking taylor expansion of y in x 3.049 * [backup-simplify]: Simplify y into y 3.049 * [backup-simplify]: Simplify (* 0 y) into 0 3.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.050 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.050 * [backup-simplify]: Simplify (+ 1 0) into 1 3.051 * [backup-simplify]: Simplify (sqrt 1) into 1 3.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.053 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 1))) into (/ 1/2 y) 3.053 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 3.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.053 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.053 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.053 * [taylor]: Taking taylor expansion of x in x 3.053 * [backup-simplify]: Simplify 0 into 0 3.053 * [backup-simplify]: Simplify 1 into 1 3.053 * [backup-simplify]: Simplify (* 1 1) into 1 3.054 * [backup-simplify]: Simplify (/ 1 1) into 1 3.054 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.054 * [taylor]: Taking taylor expansion of (* x y) in x 3.054 * [taylor]: Taking taylor expansion of x in x 3.054 * [backup-simplify]: Simplify 0 into 0 3.054 * [backup-simplify]: Simplify 1 into 1 3.054 * [taylor]: Taking taylor expansion of y in x 3.054 * [backup-simplify]: Simplify y into y 3.054 * [backup-simplify]: Simplify (* 0 y) into 0 3.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.055 * [backup-simplify]: Simplify (+ 1 0) into 1 3.055 * [backup-simplify]: Simplify (sqrt 1) into 1 3.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.057 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.057 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 1))) into (/ 1/2 y) 3.057 * [taylor]: Taking taylor expansion of 1 in y 3.057 * [backup-simplify]: Simplify 1 into 1 3.058 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.058 * [taylor]: Taking taylor expansion of 1/2 in y 3.058 * [backup-simplify]: Simplify 1/2 into 1/2 3.058 * [taylor]: Taking taylor expansion of y in y 3.058 * [backup-simplify]: Simplify 0 into 0 3.058 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.058 * [backup-simplify]: Simplify 1/2 into 1/2 3.058 * [backup-simplify]: Simplify 1 into 1 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.061 * [backup-simplify]: Simplify (+ 0 0) into 0 3.062 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+)) (* 2 1)) into (/ -1/8 (pow y 2)) 3.062 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 3.062 * [taylor]: Taking taylor expansion of -1/8 in y 3.062 * [backup-simplify]: Simplify -1/8 into -1/8 3.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.062 * [taylor]: Taking taylor expansion of y in y 3.062 * [backup-simplify]: Simplify 0 into 0 3.063 * [backup-simplify]: Simplify 1 into 1 3.063 * [backup-simplify]: Simplify (* 1 1) into 1 3.063 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.065 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.066 * [backup-simplify]: Simplify 0 into 0 3.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.069 * [backup-simplify]: Simplify (+ 0 0) into 0 3.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 y) (/ -1/8 (pow y 2)))))) (* 2 1)) into (/ 1/16 (pow y 3)) 3.070 * [taylor]: Taking taylor expansion of (/ 1/16 (pow y 3)) in y 3.070 * [taylor]: Taking taylor expansion of 1/16 in y 3.070 * [backup-simplify]: Simplify 1/16 into 1/16 3.070 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.070 * [taylor]: Taking taylor expansion of y in y 3.070 * [backup-simplify]: Simplify 0 into 0 3.070 * [backup-simplify]: Simplify 1 into 1 3.071 * [backup-simplify]: Simplify (* 1 1) into 1 3.071 * [backup-simplify]: Simplify (* 1 1) into 1 3.072 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.076 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.077 * [backup-simplify]: Simplify 0 into 0 3.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.079 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.080 * [backup-simplify]: Simplify 0 into 0 3.080 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1/2 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1/2 y)) 3.080 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) 3.080 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in (x y) around 0 3.080 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in y 3.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 3.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.080 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.080 * [taylor]: Taking taylor expansion of x in y 3.080 * [backup-simplify]: Simplify x into x 3.081 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.081 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.081 * [taylor]: Taking taylor expansion of (* x y) in y 3.081 * [taylor]: Taking taylor expansion of x in y 3.081 * [backup-simplify]: Simplify x into x 3.081 * [taylor]: Taking taylor expansion of y in y 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.081 * [backup-simplify]: Simplify (* x 0) into 0 3.081 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.081 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.082 * [backup-simplify]: Simplify (+ 0 (/ 1 x)) into (/ 1 x) 3.082 * [backup-simplify]: Simplify (sqrt 0) into 0 3.083 * [backup-simplify]: Simplify (/ (/ 1 x) (* 2 (sqrt 0))) into (/ +nan.0 x) 3.083 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 3.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.083 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.083 * [taylor]: Taking taylor expansion of x in x 3.083 * [backup-simplify]: Simplify 0 into 0 3.083 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (* 1 1) into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.084 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.084 * [taylor]: Taking taylor expansion of (* x y) in x 3.084 * [taylor]: Taking taylor expansion of x in x 3.084 * [backup-simplify]: Simplify 0 into 0 3.084 * [backup-simplify]: Simplify 1 into 1 3.084 * [taylor]: Taking taylor expansion of y in x 3.084 * [backup-simplify]: Simplify y into y 3.084 * [backup-simplify]: Simplify (* 0 y) into 0 3.084 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.084 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.085 * [backup-simplify]: Simplify (+ 1 0) into 1 3.085 * [backup-simplify]: Simplify (sqrt 1) into 1 3.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.087 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.088 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 1))) into (/ 1/2 y) 3.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (* x y)))) in x 3.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.088 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.088 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.088 * [taylor]: Taking taylor expansion of x in x 3.088 * [backup-simplify]: Simplify 0 into 0 3.088 * [backup-simplify]: Simplify 1 into 1 3.088 * [backup-simplify]: Simplify (* 1 1) into 1 3.089 * [backup-simplify]: Simplify (/ 1 1) into 1 3.089 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.089 * [taylor]: Taking taylor expansion of (* x y) in x 3.089 * [taylor]: Taking taylor expansion of x in x 3.089 * [backup-simplify]: Simplify 0 into 0 3.089 * [backup-simplify]: Simplify 1 into 1 3.089 * [taylor]: Taking taylor expansion of y in x 3.089 * [backup-simplify]: Simplify y into y 3.089 * [backup-simplify]: Simplify (* 0 y) into 0 3.089 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.089 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.090 * [backup-simplify]: Simplify (+ 1 0) into 1 3.090 * [backup-simplify]: Simplify (sqrt 1) into 1 3.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.091 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.091 * [backup-simplify]: Simplify (/ (/ 1 y) (* 2 (sqrt 1))) into (/ 1/2 y) 3.092 * [taylor]: Taking taylor expansion of 1 in y 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 3.092 * [taylor]: Taking taylor expansion of 1/2 in y 3.092 * [backup-simplify]: Simplify 1/2 into 1/2 3.092 * [taylor]: Taking taylor expansion of y in y 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.092 * [backup-simplify]: Simplify 1/2 into 1/2 3.092 * [backup-simplify]: Simplify 1 into 1 3.093 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.094 * [backup-simplify]: Simplify (+ 0 0) into 0 3.094 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 y) 2) (+)) (* 2 1)) into (/ -1/8 (pow y 2)) 3.095 * [taylor]: Taking taylor expansion of (/ -1/8 (pow y 2)) in y 3.095 * [taylor]: Taking taylor expansion of -1/8 in y 3.095 * [backup-simplify]: Simplify -1/8 into -1/8 3.095 * [taylor]: Taking taylor expansion of (pow y 2) in y 3.095 * [taylor]: Taking taylor expansion of y in y 3.095 * [backup-simplify]: Simplify 0 into 0 3.095 * [backup-simplify]: Simplify 1 into 1 3.095 * [backup-simplify]: Simplify (* 1 1) into 1 3.095 * [backup-simplify]: Simplify (/ -1/8 1) into -1/8 3.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify 0 into 0 3.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.098 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.099 * [backup-simplify]: Simplify (+ 0 0) into 0 3.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1/2 y) (/ -1/8 (pow y 2)))))) (* 2 1)) into (/ 1/16 (pow y 3)) 3.099 * [taylor]: Taking taylor expansion of (/ 1/16 (pow y 3)) in y 3.099 * [taylor]: Taking taylor expansion of 1/16 in y 3.099 * [backup-simplify]: Simplify 1/16 into 1/16 3.099 * [taylor]: Taking taylor expansion of (pow y 3) in y 3.099 * [taylor]: Taking taylor expansion of y in y 3.099 * [backup-simplify]: Simplify 0 into 0 3.099 * [backup-simplify]: Simplify 1 into 1 3.100 * [backup-simplify]: Simplify (* 1 1) into 1 3.100 * [backup-simplify]: Simplify (* 1 1) into 1 3.100 * [backup-simplify]: Simplify (/ 1/16 1) into 1/16 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.102 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/16 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.103 * [backup-simplify]: Simplify 0 into 0 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.104 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1/8 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.104 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1/2 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1/2 y))) 3.105 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.105 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y)))) into (+ (pow x 2) (* x y)) 3.105 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 3.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 3.105 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.105 * [taylor]: Taking taylor expansion of x in y 3.105 * [backup-simplify]: Simplify x into x 3.105 * [taylor]: Taking taylor expansion of (* x y) in y 3.105 * [taylor]: Taking taylor expansion of x in y 3.105 * [backup-simplify]: Simplify x into x 3.105 * [taylor]: Taking taylor expansion of y in y 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.105 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 3.105 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.105 * [taylor]: Taking taylor expansion of x in x 3.105 * [backup-simplify]: Simplify 0 into 0 3.105 * [backup-simplify]: Simplify 1 into 1 3.105 * [taylor]: Taking taylor expansion of (* x y) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of y in x 3.106 * [backup-simplify]: Simplify y into y 3.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 3.106 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of (* x y) in x 3.106 * [taylor]: Taking taylor expansion of x in x 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [taylor]: Taking taylor expansion of y in x 3.106 * [backup-simplify]: Simplify y into y 3.106 * [backup-simplify]: Simplify (* 0 y) into 0 3.106 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [taylor]: Taking taylor expansion of 0 in y 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.106 * [backup-simplify]: Simplify (+ 0 y) into y 3.106 * [taylor]: Taking taylor expansion of y in y 3.106 * [backup-simplify]: Simplify 0 into 0 3.106 * [backup-simplify]: Simplify 1 into 1 3.106 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify 0 into 0 3.107 * [backup-simplify]: Simplify (* 1 1) into 1 3.107 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.108 * [backup-simplify]: Simplify (+ 1 0) into 1 3.108 * [taylor]: Taking taylor expansion of 1 in y 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify 1 into 1 3.108 * [backup-simplify]: Simplify 0 into 0 3.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.109 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.109 * [backup-simplify]: Simplify (+ 0 0) into 0 3.109 * [taylor]: Taking taylor expansion of 0 in y 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.111 * [backup-simplify]: Simplify (+ 0 0) into 0 3.111 * [taylor]: Taking taylor expansion of 0 in y 3.111 * [backup-simplify]: Simplify 0 into 0 3.111 * [backup-simplify]: Simplify 0 into 0 3.112 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 3.112 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 y)))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 y))))) into (+ (/ 1 (pow x 2)) (/ 1 (* x y))) 3.112 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 3.112 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 3.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.113 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.113 * [taylor]: Taking taylor expansion of x in y 3.113 * [backup-simplify]: Simplify x into x 3.113 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.113 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.113 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.113 * [taylor]: Taking taylor expansion of (* x y) in y 3.113 * [taylor]: Taking taylor expansion of x in y 3.113 * [backup-simplify]: Simplify x into x 3.113 * [taylor]: Taking taylor expansion of y in y 3.113 * [backup-simplify]: Simplify 0 into 0 3.113 * [backup-simplify]: Simplify 1 into 1 3.113 * [backup-simplify]: Simplify (* x 0) into 0 3.114 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.114 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.114 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.114 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.114 * [taylor]: Taking taylor expansion of x in x 3.114 * [backup-simplify]: Simplify 0 into 0 3.114 * [backup-simplify]: Simplify 1 into 1 3.114 * [backup-simplify]: Simplify (* 1 1) into 1 3.115 * [backup-simplify]: Simplify (/ 1 1) into 1 3.115 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.115 * [taylor]: Taking taylor expansion of (* x y) in x 3.115 * [taylor]: Taking taylor expansion of x in x 3.115 * [backup-simplify]: Simplify 0 into 0 3.115 * [backup-simplify]: Simplify 1 into 1 3.115 * [taylor]: Taking taylor expansion of y in x 3.115 * [backup-simplify]: Simplify y into y 3.115 * [backup-simplify]: Simplify (* 0 y) into 0 3.116 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.116 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.116 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.116 * [taylor]: Taking taylor expansion of x in x 3.116 * [backup-simplify]: Simplify 0 into 0 3.116 * [backup-simplify]: Simplify 1 into 1 3.116 * [backup-simplify]: Simplify (* 1 1) into 1 3.117 * [backup-simplify]: Simplify (/ 1 1) into 1 3.117 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.117 * [taylor]: Taking taylor expansion of (* x y) in x 3.117 * [taylor]: Taking taylor expansion of x in x 3.117 * [backup-simplify]: Simplify 0 into 0 3.117 * [backup-simplify]: Simplify 1 into 1 3.117 * [taylor]: Taking taylor expansion of y in x 3.117 * [backup-simplify]: Simplify y into y 3.117 * [backup-simplify]: Simplify (* 0 y) into 0 3.117 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.118 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.118 * [backup-simplify]: Simplify (+ 1 0) into 1 3.118 * [taylor]: Taking taylor expansion of 1 in y 3.118 * [backup-simplify]: Simplify 1 into 1 3.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.120 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.120 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.120 * [taylor]: Taking taylor expansion of y in y 3.120 * [backup-simplify]: Simplify 0 into 0 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify (/ 1 1) into 1 3.120 * [backup-simplify]: Simplify 1 into 1 3.120 * [backup-simplify]: Simplify 1 into 1 3.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.123 * [backup-simplify]: Simplify (+ 0 0) into 0 3.123 * [taylor]: Taking taylor expansion of 0 in y 3.123 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.124 * [backup-simplify]: Simplify 0 into 0 3.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.127 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.128 * [backup-simplify]: Simplify (+ 0 0) into 0 3.128 * [taylor]: Taking taylor expansion of 0 in y 3.128 * [backup-simplify]: Simplify 0 into 0 3.128 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.129 * [backup-simplify]: Simplify 0 into 0 3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.133 * [backup-simplify]: Simplify (+ 0 0) into 0 3.133 * [taylor]: Taking taylor expansion of 0 in y 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 0 into 0 3.134 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 3.134 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- y))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- y)))))) into (+ (/ 1 (pow x 2)) (/ 1 (* x y))) 3.134 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 3.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 3.134 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.134 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.135 * [taylor]: Taking taylor expansion of x in y 3.135 * [backup-simplify]: Simplify x into x 3.135 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.135 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.135 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.135 * [taylor]: Taking taylor expansion of (* x y) in y 3.135 * [taylor]: Taking taylor expansion of x in y 3.135 * [backup-simplify]: Simplify x into x 3.135 * [taylor]: Taking taylor expansion of y in y 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (* x 0) into 0 3.135 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.135 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.135 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.135 * [taylor]: Taking taylor expansion of x in x 3.135 * [backup-simplify]: Simplify 0 into 0 3.135 * [backup-simplify]: Simplify 1 into 1 3.135 * [backup-simplify]: Simplify (* 1 1) into 1 3.136 * [backup-simplify]: Simplify (/ 1 1) into 1 3.136 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.136 * [taylor]: Taking taylor expansion of (* x y) in x 3.136 * [taylor]: Taking taylor expansion of x in x 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [taylor]: Taking taylor expansion of y in x 3.136 * [backup-simplify]: Simplify y into y 3.136 * [backup-simplify]: Simplify (* 0 y) into 0 3.136 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.136 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.136 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.136 * [taylor]: Taking taylor expansion of x in x 3.136 * [backup-simplify]: Simplify 0 into 0 3.136 * [backup-simplify]: Simplify 1 into 1 3.136 * [backup-simplify]: Simplify (* 1 1) into 1 3.137 * [backup-simplify]: Simplify (/ 1 1) into 1 3.137 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.137 * [taylor]: Taking taylor expansion of (* x y) in x 3.137 * [taylor]: Taking taylor expansion of x in x 3.137 * [backup-simplify]: Simplify 0 into 0 3.137 * [backup-simplify]: Simplify 1 into 1 3.137 * [taylor]: Taking taylor expansion of y in x 3.137 * [backup-simplify]: Simplify y into y 3.137 * [backup-simplify]: Simplify (* 0 y) into 0 3.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.137 * [backup-simplify]: Simplify (+ 1 0) into 1 3.137 * [taylor]: Taking taylor expansion of 1 in y 3.137 * [backup-simplify]: Simplify 1 into 1 3.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.138 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.138 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.138 * [taylor]: Taking taylor expansion of y in y 3.138 * [backup-simplify]: Simplify 0 into 0 3.138 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (/ 1 1) into 1 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify 1 into 1 3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.140 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.140 * [backup-simplify]: Simplify (+ 0 0) into 0 3.140 * [taylor]: Taking taylor expansion of 0 in y 3.140 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.141 * [backup-simplify]: Simplify 0 into 0 3.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.143 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.143 * [backup-simplify]: Simplify (+ 0 0) into 0 3.143 * [taylor]: Taking taylor expansion of 0 in y 3.143 * [backup-simplify]: Simplify 0 into 0 3.143 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.146 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.146 * [backup-simplify]: Simplify (+ 0 0) into 0 3.146 * [taylor]: Taking taylor expansion of 0 in y 3.146 * [backup-simplify]: Simplify 0 into 0 3.146 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 3.147 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2 1) 3.147 * [backup-simplify]: Simplify (+ (* x x) (* x y)) into (+ (pow x 2) (* x y)) 3.147 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* x y)) in (x y) around 0 3.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in y 3.147 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.147 * [taylor]: Taking taylor expansion of x in y 3.147 * [backup-simplify]: Simplify x into x 3.147 * [taylor]: Taking taylor expansion of (* x y) in y 3.147 * [taylor]: Taking taylor expansion of x in y 3.147 * [backup-simplify]: Simplify x into x 3.147 * [taylor]: Taking taylor expansion of y in y 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 3.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.147 * [taylor]: Taking taylor expansion of x in x 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of (* x y) in x 3.147 * [taylor]: Taking taylor expansion of x in x 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of y in x 3.147 * [backup-simplify]: Simplify y into y 3.147 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* x y)) in x 3.147 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.147 * [taylor]: Taking taylor expansion of x in x 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of (* x y) in x 3.147 * [taylor]: Taking taylor expansion of x in x 3.147 * [backup-simplify]: Simplify 0 into 0 3.147 * [backup-simplify]: Simplify 1 into 1 3.147 * [taylor]: Taking taylor expansion of y in x 3.147 * [backup-simplify]: Simplify y into y 3.147 * [backup-simplify]: Simplify (* 0 y) into 0 3.148 * [backup-simplify]: Simplify (+ 0 0) into 0 3.148 * [taylor]: Taking taylor expansion of 0 in y 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.148 * [backup-simplify]: Simplify (+ 0 y) into y 3.148 * [taylor]: Taking taylor expansion of y in y 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 1 into 1 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify 0 into 0 3.148 * [backup-simplify]: Simplify (* 1 1) into 1 3.149 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.149 * [backup-simplify]: Simplify (+ 1 0) into 1 3.149 * [taylor]: Taking taylor expansion of 1 in y 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify 1 into 1 3.149 * [backup-simplify]: Simplify 0 into 0 3.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.150 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.151 * [backup-simplify]: Simplify (+ 0 0) into 0 3.151 * [taylor]: Taking taylor expansion of 0 in y 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify 0 into 0 3.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.152 * [backup-simplify]: Simplify (+ 0 0) into 0 3.152 * [taylor]: Taking taylor expansion of 0 in y 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify (+ (* 1 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* x y)) 3.153 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (* x y))) 3.153 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.153 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.153 * [taylor]: Taking taylor expansion of x in y 3.153 * [backup-simplify]: Simplify x into x 3.153 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.153 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.153 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.153 * [taylor]: Taking taylor expansion of (* x y) in y 3.153 * [taylor]: Taking taylor expansion of x in y 3.153 * [backup-simplify]: Simplify x into x 3.153 * [taylor]: Taking taylor expansion of y in y 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.153 * [backup-simplify]: Simplify (* x 0) into 0 3.153 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.153 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.153 * [taylor]: Taking taylor expansion of x in x 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (* 1 1) into 1 3.154 * [backup-simplify]: Simplify (/ 1 1) into 1 3.154 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.154 * [taylor]: Taking taylor expansion of (* x y) in x 3.154 * [taylor]: Taking taylor expansion of x in x 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.154 * [taylor]: Taking taylor expansion of y in x 3.154 * [backup-simplify]: Simplify y into y 3.154 * [backup-simplify]: Simplify (* 0 y) into 0 3.154 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.154 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.154 * [taylor]: Taking taylor expansion of x in x 3.154 * [backup-simplify]: Simplify 0 into 0 3.154 * [backup-simplify]: Simplify 1 into 1 3.155 * [backup-simplify]: Simplify (* 1 1) into 1 3.155 * [backup-simplify]: Simplify (/ 1 1) into 1 3.155 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.155 * [taylor]: Taking taylor expansion of (* x y) in x 3.155 * [taylor]: Taking taylor expansion of x in x 3.155 * [backup-simplify]: Simplify 0 into 0 3.155 * [backup-simplify]: Simplify 1 into 1 3.155 * [taylor]: Taking taylor expansion of y in x 3.155 * [backup-simplify]: Simplify y into y 3.155 * [backup-simplify]: Simplify (* 0 y) into 0 3.155 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.156 * [backup-simplify]: Simplify (+ 1 0) into 1 3.156 * [taylor]: Taking taylor expansion of 1 in y 3.156 * [backup-simplify]: Simplify 1 into 1 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.157 * [taylor]: Taking taylor expansion of y in y 3.157 * [backup-simplify]: Simplify 0 into 0 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (/ 1 1) into 1 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify 1 into 1 3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.160 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.160 * [backup-simplify]: Simplify (+ 0 0) into 0 3.160 * [taylor]: Taking taylor expansion of 0 in y 3.160 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify 0 into 0 3.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.162 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.163 * [backup-simplify]: Simplify (+ 0 0) into 0 3.163 * [taylor]: Taking taylor expansion of 0 in y 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.163 * [backup-simplify]: Simplify 0 into 0 3.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.165 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.166 * [taylor]: Taking taylor expansion of 0 in y 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* x y)) 3.166 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- x)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (* x y))) 3.166 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in (x y) around 0 3.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in y 3.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 3.166 * [taylor]: Taking taylor expansion of (pow x 2) in y 3.166 * [taylor]: Taking taylor expansion of x in y 3.166 * [backup-simplify]: Simplify x into x 3.166 * [backup-simplify]: Simplify (* x x) into (pow x 2) 3.167 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 3.167 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y 3.167 * [taylor]: Taking taylor expansion of (* x y) in y 3.167 * [taylor]: Taking taylor expansion of x in y 3.167 * [backup-simplify]: Simplify x into x 3.167 * [taylor]: Taking taylor expansion of y in y 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [backup-simplify]: Simplify (* x 0) into 0 3.167 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x 3.167 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 3.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.167 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.167 * [taylor]: Taking taylor expansion of x in x 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (* 1 1) into 1 3.168 * [backup-simplify]: Simplify (/ 1 1) into 1 3.168 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.168 * [taylor]: Taking taylor expansion of (* x y) in x 3.168 * [taylor]: Taking taylor expansion of x in x 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [taylor]: Taking taylor expansion of y in x 3.168 * [backup-simplify]: Simplify y into y 3.168 * [backup-simplify]: Simplify (* 0 y) into 0 3.169 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.169 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (* x y))) in x 3.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 3.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 3.169 * [taylor]: Taking taylor expansion of x in x 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (* 1 1) into 1 3.170 * [backup-simplify]: Simplify (/ 1 1) into 1 3.170 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x 3.170 * [taylor]: Taking taylor expansion of (* x y) in x 3.170 * [taylor]: Taking taylor expansion of x in x 3.170 * [backup-simplify]: Simplify 0 into 0 3.170 * [backup-simplify]: Simplify 1 into 1 3.170 * [taylor]: Taking taylor expansion of y in x 3.170 * [backup-simplify]: Simplify y into y 3.170 * [backup-simplify]: Simplify (* 0 y) into 0 3.170 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y 3.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 3.171 * [backup-simplify]: Simplify (+ 1 0) into 1 3.171 * [taylor]: Taking taylor expansion of 1 in y 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (+ 0 (/ 1 y)) into (/ 1 y) 3.172 * [taylor]: Taking taylor expansion of (/ 1 y) in y 3.172 * [taylor]: Taking taylor expansion of y in y 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (/ 1 1) into 1 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify 1 into 1 3.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.173 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0 3.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [taylor]: Taking taylor expansion of 0 in y 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.176 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0 3.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.176 * [backup-simplify]: Simplify (+ 0 0) into 0 3.176 * [taylor]: Taking taylor expansion of 0 in y 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.177 * [backup-simplify]: Simplify 0 into 0 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.179 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 3.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 3.179 * [backup-simplify]: Simplify (+ 0 0) into 0 3.179 * [taylor]: Taking taylor expansion of 0 in y 3.179 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify 0 into 0 3.180 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* x y)) 3.180 * * * [progress]: simplifying candidates 3.181 * [simplify]: Simplifying: (expm1 (sqrt (+ (* x x) (* x y)))) (log1p (sqrt (+ (* x x) (* x y)))) (log (sqrt (+ (* x x) (* x y)))) (exp (sqrt (+ (* x x) (* x y)))) (* (cbrt (sqrt (+ (* x x) (* x y)))) (cbrt (sqrt (+ (* x x) (* x y))))) (cbrt (sqrt (+ (* x x) (* x y)))) (* (* (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y)))) (sqrt (+ (* x x) (* x y)))) (sqrt (* (cbrt (+ (* x x) (* x y))) (cbrt (+ (* x x) (* x y))))) (sqrt (cbrt (+ (* x x) (* x y)))) (sqrt (sqrt (+ (* x x) (* x y)))) (sqrt (sqrt (+ (* x x) (* x y)))) (sqrt 1) (sqrt (+ (* x x) (* x y))) (sqrt x) (sqrt (+ x y)) (sqrt (+ (pow (* x x) 3) (pow (* x y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* x y) (* x y)) (* (* x x) (* x y))))) (sqrt (- (* (* x x) (* x x)) (* (* x y) (* x y)))) (sqrt (- (* x x) (* x y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* x y)))) (sqrt (sqrt (+ (* x x) (* x y)))) (expm1 (sqrt (+ (* x x) (* x y)))) (log1p (sqrt (+ (* x x) (* x y)))) (log (sqrt (+ (* x x) (* x y)))) (exp (sqrt (+ (* x x) (* x y)))) 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x x) (* x y))) (* (* (+ (* x x) (* x y)) (+ (* x x) (* x y))) (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (sqrt (+ (* x x) (* x y))) (+ (pow (* x x) 3) (pow (* x y) 3)) (+ (* (* x x) (* x x)) (- (* (* x y) (* x y)) (* (* x x) (* x y)))) (- (* (* x x) (* x x)) (* (* x y) (* x y))) (- (* x x) (* x y)) (+ x y) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 4)) (- (* +nan.0 (* x y))))))) (+ x (* 1/2 y)) (- (+ x (* 1/2 y))) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 4)) (- (* +nan.0 (* x y))))))) (+ x (* 1/2 y)) (- (+ x (* 1/2 y))) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) (+ (pow x 2) (* x y)) 3.183 * * [simplify]: iteration 0: 116 enodes 3.218 * * [simplify]: iteration 1: 283 enodes 3.424 * * [simplify]: iteration 2: 1464 enodes 4.879 * * [simplify]: iteration complete: 5000 enodes 4.879 * * [simplify]: Extracting #0: cost 49 inf + 0 4.882 * * [simplify]: Extracting #1: cost 711 inf + 4 4.897 * * [simplify]: Extracting #2: cost 1334 inf + 23434 4.951 * * [simplify]: Extracting #3: cost 595 inf + 129003 5.019 * * [simplify]: Extracting #4: cost 79 inf + 212801 5.094 * * [simplify]: Extracting #5: cost 6 inf + 228212 5.144 * * [simplify]: Extracting #6: cost 0 inf + 230042 5.207 * [simplify]: Simplified to: (expm1 (sqrt (* x (+ x y)))) (log1p (sqrt (* x (+ x y)))) (log (sqrt (* x (+ x y)))) (exp (sqrt (* x (+ x y)))) (* (cbrt (sqrt (* x (+ x y)))) (cbrt (sqrt (* x (+ x y))))) (cbrt (sqrt (* x (+ x y)))) (* (* x (+ x y)) (sqrt (* x (+ x y)))) (fabs (cbrt (* x (+ x y)))) (sqrt (cbrt (* x (+ x y)))) (sqrt (sqrt (* x (+ x y)))) (sqrt (sqrt (* x (+ x y)))) 1 (sqrt (* x (+ x y))) (sqrt x) (sqrt (+ y x)) (sqrt (* (* x (* x x)) (fma y (* y y) (* x (* x x))))) (sqrt (fma (* x x) (* x x) (* (- (* x y) (* x x)) (* x y)))) (sqrt (* (+ (* x x) (* x y)) (- (* x x) (* x y)))) (sqrt (* (- x y) x)) 1/2 (sqrt (sqrt (* x (+ x y)))) (sqrt (sqrt (* x (+ x y)))) (expm1 (sqrt (* x (+ x y)))) (log1p (sqrt (* x (+ x 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x) (* x y)) (- (* x x) (* x y)))) (sqrt (* x (+ x y)))) (expm1 (* x (+ x y))) (log1p (* x (+ x y))) (exp (* x (+ x y))) (log (* x (+ x y))) (exp (* x (+ x y))) (* (cbrt (* x (+ x y))) (cbrt (* x (+ x y)))) (cbrt (* x (+ x y))) (* (* x (+ x y)) (* (* x (+ x y)) (* x (+ x y)))) (sqrt (* x (+ x y))) (sqrt (* x (+ x y))) (* (* x (* x x)) (fma y (* y y) (* x (* x x)))) (fma (* x x) (* x x) (* (- (* x y) (* x x)) (* x y))) (* (+ (* x x) (* x y)) (- (* x x) (* x y))) (* (- x y) x) (+ y x) (fma +nan.0 (- (* (* x x) (* x x)) (* x y)) (* +nan.0 (- (* x x)))) (fma y 1/2 x) (fma y -1/2 (- x)) (fma +nan.0 (- (* (* x x) (* x x)) (* x y)) (* +nan.0 (- (* x x)))) (fma y 1/2 x) (fma y -1/2 (- x)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) (* x (+ x y)) 5.215 * * * [progress]: adding candidates to table 5.837 * [progress]: [Phase 3 of 3] Extracting. 5.837 * * [regime]: Finding splitpoints for: (# # #) 5.838 * * * [regime-changes]: Trying 4 branch expressions: ((+ (* x x) (* x y)) (* 2.0 (+ (* x x) (* x y))) y x) 5.838 * * * * [regimes]: Trying to branch on (+ (* x x) (* x y)) from (# # #) 5.900 * * * * [regimes]: Trying to branch on (+ (* x x) (* x y)) from (# #) 5.926 * * * * [regimes]: Trying to branch on (* 2.0 (+ (* x x) (* x y))) from (# # #) 5.986 * * * * [regimes]: Trying to branch on y from (# # #) 6.023 * * * * [regimes]: Trying to branch on x from (# # #) 6.062 * * * [regime]: Found split indices: #