8.209 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.026 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.027 * [simplify]: Sending expressions to egg_math: (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))) 0.079 * * [progress]: iteration 1 / 4 0.079 * * * [progress]: picking best candidate 0.081 * * * * [pick]: Picked # 0.081 * * * [progress]: localizing error 0.101 * * * [progress]: generating rewritten candidates 0.101 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.133 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.174 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.186 * * * [progress]: generating series expansions 0.186 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.186 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.186 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.186 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.186 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.186 * [taylor]: Taking taylor expansion of (+ x y) in y 0.186 * [taylor]: Taking taylor expansion of x in y 0.186 * [backup-simplify]: Simplify x into x 0.186 * [taylor]: Taking taylor expansion of y in y 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [taylor]: Taking taylor expansion of (- x y) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 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 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.187 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.187 * [taylor]: Taking taylor expansion of x in y 0.187 * [backup-simplify]: Simplify x into x 0.187 * [taylor]: Taking taylor expansion of (pow y 2) 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 (+ x 0) into x 0.187 * [backup-simplify]: Simplify (- 0) into 0 0.187 * [backup-simplify]: Simplify (+ x 0) into x 0.187 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.187 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.188 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.188 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.188 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.188 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.188 * [taylor]: Taking taylor expansion of (+ x y) 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 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [taylor]: Taking taylor expansion of (- x y) 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 * [taylor]: Taking taylor expansion of y in x 0.188 * [backup-simplify]: Simplify y into y 0.188 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.188 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of (pow y 2) 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 (+ 0 y) into y 0.188 * [backup-simplify]: Simplify (- y) into (- y) 0.188 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.188 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.188 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.188 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.189 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.189 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.189 * [taylor]: Taking taylor expansion of (+ x y) 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 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [taylor]: Taking taylor expansion of (- x y) 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 * [taylor]: Taking taylor expansion of y in x 0.189 * [backup-simplify]: Simplify y into y 0.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.189 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [taylor]: Taking taylor expansion of (pow y 2) 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 (+ 0 y) into y 0.189 * [backup-simplify]: Simplify (- y) into (- y) 0.189 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.189 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.189 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.189 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.189 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.189 * [taylor]: Taking taylor expansion of -1 in y 0.189 * [backup-simplify]: Simplify -1 into -1 0.189 * [backup-simplify]: Simplify -1 into -1 0.190 * [backup-simplify]: Simplify (- 0) into 0 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (+ 1 0) into 1 0.190 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.190 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in y 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.192 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.193 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.193 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.193 * [taylor]: Taking taylor expansion of 2 in y 0.193 * [backup-simplify]: Simplify 2 into 2 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.193 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.193 * [taylor]: Taking taylor expansion of y in y 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.198 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.199 * [backup-simplify]: Simplify (+ 0 0) into 0 0.199 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 0.199 * [taylor]: Taking taylor expansion of 0 in y 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify -1 into -1 0.200 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.200 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.200 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.200 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.200 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [backup-simplify]: Simplify x into x 0.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.200 * [taylor]: Taking taylor expansion of y in y 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.200 * [taylor]: Taking taylor expansion of x in y 0.200 * [backup-simplify]: Simplify x into x 0.200 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.201 * [taylor]: Taking taylor expansion of x in y 0.201 * [backup-simplify]: Simplify x into x 0.201 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.201 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.201 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.201 * [taylor]: Taking taylor expansion of y in y 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (- 1) into -1 0.202 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.202 * [backup-simplify]: Simplify (+ 1 0) into 1 0.202 * [backup-simplify]: Simplify (* -1 1) into -1 0.203 * [backup-simplify]: Simplify (+ 0 1) into 1 0.203 * [backup-simplify]: Simplify (/ -1 1) into -1 0.203 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.203 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.203 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 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 (/ 1 y) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.203 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.203 * [taylor]: Taking taylor expansion of y in x 0.203 * [backup-simplify]: Simplify y into y 0.203 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.203 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.203 * [taylor]: Taking taylor expansion of x in x 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.204 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.205 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.205 * [backup-simplify]: Simplify (+ 1 0) into 1 0.205 * [backup-simplify]: Simplify (+ 0 1) into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.206 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.206 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.206 * [backup-simplify]: Simplify (/ 1 1) into 1 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [backup-simplify]: Simplify y into y 0.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.206 * [taylor]: Taking taylor expansion of y in x 0.206 * [backup-simplify]: Simplify y into y 0.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.206 * [taylor]: Taking taylor expansion of x in x 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.207 * [taylor]: Taking taylor expansion of x in x 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.207 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.207 * [taylor]: Taking taylor expansion of y in x 0.207 * [backup-simplify]: Simplify y into y 0.207 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.207 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.208 * [backup-simplify]: Simplify (+ 1 0) into 1 0.208 * [backup-simplify]: Simplify (+ 0 1) into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [taylor]: Taking taylor expansion of 1 in y 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify 1 into 1 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.210 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.210 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.214 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.216 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.216 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.216 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.216 * [taylor]: Taking taylor expansion of 2 in y 0.216 * [backup-simplify]: Simplify 2 into 2 0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.216 * [taylor]: Taking taylor expansion of y in y 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.217 * [backup-simplify]: Simplify (/ 1 1) into 1 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.219 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 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 0.226 * [backup-simplify]: Simplify 1 into 1 0.226 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 0.226 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.226 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.226 * [taylor]: Taking taylor expansion of -1 in y 0.226 * [backup-simplify]: Simplify -1 into -1 0.226 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.226 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.226 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.226 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.226 * [taylor]: Taking taylor expansion of y in y 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 0.227 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.227 * [taylor]: Taking taylor expansion of x in y 0.227 * [backup-simplify]: Simplify x into x 0.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [backup-simplify]: Simplify x into x 0.228 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.228 * [taylor]: Taking taylor expansion of x in y 0.228 * [backup-simplify]: Simplify x into x 0.228 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.228 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.228 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.228 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.228 * [taylor]: Taking taylor expansion of y in y 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (* 1 1) into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.229 * [backup-simplify]: Simplify (+ 1 0) into 1 0.230 * [backup-simplify]: Simplify (* 1 1) into 1 0.230 * [backup-simplify]: Simplify (+ 0 1) into 1 0.230 * [backup-simplify]: Simplify (/ 1 1) into 1 0.230 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.230 * [taylor]: Taking taylor expansion of -1 in x 0.230 * [backup-simplify]: Simplify -1 into -1 0.230 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.230 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.230 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.230 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.230 * [taylor]: Taking taylor expansion of y in x 0.230 * [backup-simplify]: Simplify y into y 0.230 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.230 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.230 * [taylor]: Taking taylor expansion of x in x 0.230 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.231 * [taylor]: Taking taylor expansion of y in x 0.231 * [backup-simplify]: Simplify y into y 0.231 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.231 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.231 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.231 * [taylor]: Taking taylor expansion of x in x 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* 1 1) into 1 0.232 * [backup-simplify]: Simplify (/ 1 1) into 1 0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.232 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.232 * [taylor]: Taking taylor expansion of y in x 0.232 * [backup-simplify]: Simplify y into y 0.232 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.232 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.232 * [backup-simplify]: Simplify (+ 0 1) into 1 0.233 * [backup-simplify]: Simplify (- 1) into -1 0.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.233 * [backup-simplify]: Simplify (* 1 -1) into -1 0.233 * [backup-simplify]: Simplify (+ 1 0) into 1 0.234 * [backup-simplify]: Simplify (/ -1 1) into -1 0.234 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.234 * [taylor]: Taking taylor expansion of -1 in x 0.234 * [backup-simplify]: Simplify -1 into -1 0.234 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.234 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [backup-simplify]: Simplify y into y 0.234 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.234 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.234 * [taylor]: Taking taylor expansion of y in x 0.234 * [backup-simplify]: Simplify y into y 0.234 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.234 * [taylor]: Taking taylor expansion of x in x 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.235 * [taylor]: Taking taylor expansion of x in x 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (* 1 1) into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.235 * [taylor]: Taking taylor expansion of y in x 0.235 * [backup-simplify]: Simplify y into y 0.235 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.235 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.236 * [backup-simplify]: Simplify (+ 0 1) into 1 0.236 * [backup-simplify]: Simplify (- 1) into -1 0.236 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.236 * [backup-simplify]: Simplify (* 1 -1) into -1 0.237 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (/ -1 1) into -1 0.237 * [backup-simplify]: Simplify (* -1 -1) into 1 0.237 * [taylor]: Taking taylor expansion of 1 in y 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (- 0) into 0 0.238 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.239 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in y 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (- 0) into 0 0.242 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.244 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.245 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.245 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.245 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.245 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.245 * [taylor]: Taking taylor expansion of 2 in y 0.245 * [backup-simplify]: Simplify 2 into 2 0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.245 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.245 * [taylor]: Taking taylor expansion of y in y 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (- 0) into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.250 * [backup-simplify]: Simplify (- 0) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.253 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.257 * [taylor]: Taking taylor expansion of 0 in y 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.258 * [backup-simplify]: Simplify (* (- x y) (+ x y)) into (* (+ x y) (- x y)) 0.258 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.258 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.258 * [taylor]: Taking taylor expansion of (+ x y) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [backup-simplify]: Simplify x into x 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (- x y) in y 0.258 * [taylor]: Taking taylor expansion of x in y 0.258 * [backup-simplify]: Simplify x into x 0.258 * [taylor]: Taking taylor expansion of y in y 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.258 * [taylor]: Taking taylor expansion of (+ x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [taylor]: Taking taylor expansion of (- x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.258 * [taylor]: Taking taylor expansion of (+ x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [taylor]: Taking taylor expansion of (- x y) in x 0.258 * [taylor]: Taking taylor expansion of x in x 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify 1 into 1 0.258 * [taylor]: Taking taylor expansion of y in x 0.258 * [backup-simplify]: Simplify y into y 0.258 * [backup-simplify]: Simplify (+ 0 y) into y 0.258 * [backup-simplify]: Simplify (- y) into (- y) 0.258 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.258 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.258 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.258 * [taylor]: Taking taylor expansion of -1 in y 0.258 * [backup-simplify]: Simplify -1 into -1 0.258 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.258 * [taylor]: Taking taylor expansion of y in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (- 0) into 0 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (+ 1 0) into 1 0.259 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.259 * [taylor]: Taking taylor expansion of 0 in y 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.260 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.260 * [taylor]: Taking taylor expansion of 1 in y 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify (* 1 1) into 1 0.261 * [backup-simplify]: Simplify (* -1 1) into -1 0.261 * [backup-simplify]: Simplify -1 into -1 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.262 * [taylor]: Taking taylor expansion of 0 in y 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.265 * [backup-simplify]: Simplify (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 0.265 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.265 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.265 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.265 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.265 * [taylor]: Taking taylor expansion of x in y 0.265 * [backup-simplify]: Simplify x into x 0.265 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.265 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.265 * [taylor]: Taking taylor expansion of y in y 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.266 * [taylor]: Taking taylor expansion of y in y 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.266 * [taylor]: Taking taylor expansion of x in y 0.266 * [backup-simplify]: Simplify x into x 0.266 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.266 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.266 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.266 * [taylor]: Taking taylor expansion of x in x 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.266 * [taylor]: Taking taylor expansion of y in x 0.266 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.267 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.267 * [taylor]: Taking taylor expansion of x in x 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.267 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.267 * [taylor]: Taking taylor expansion of y in x 0.267 * [backup-simplify]: Simplify y into y 0.268 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (+ 1 0) into 1 0.268 * [backup-simplify]: Simplify (+ 0 1) into 1 0.269 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of 1 in y 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.270 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.270 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in y 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.272 * [backup-simplify]: Simplify (- 0) into 0 0.272 * [backup-simplify]: Simplify (+ 0 0) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.272 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.272 * [taylor]: Taking taylor expansion of y in y 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [backup-simplify]: Simplify (- 1) into -1 0.273 * [backup-simplify]: Simplify -1 into -1 0.273 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.275 * [backup-simplify]: Simplify (- 0) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.276 * [taylor]: Taking taylor expansion of 0 in y 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.279 * [backup-simplify]: Simplify (- 0) into 0 0.279 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.280 * [taylor]: Taking taylor expansion of 0 in y 0.280 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.282 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 0.282 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.282 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.282 * [taylor]: Taking taylor expansion of -1 in y 0.282 * [backup-simplify]: Simplify -1 into -1 0.282 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.282 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.282 * [taylor]: Taking taylor expansion of x in y 0.282 * [backup-simplify]: Simplify x into x 0.282 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.282 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.282 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.282 * [taylor]: Taking taylor expansion of y in y 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.283 * [taylor]: Taking taylor expansion of x in y 0.283 * [backup-simplify]: Simplify x into x 0.283 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.283 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.283 * [taylor]: Taking taylor expansion of -1 in x 0.283 * [backup-simplify]: Simplify -1 into -1 0.283 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.283 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [backup-simplify]: Simplify y into y 0.283 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (/ 1 1) into 1 0.283 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.283 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.283 * [taylor]: Taking taylor expansion of y in x 0.283 * [backup-simplify]: Simplify y into y 0.283 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.283 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.283 * [taylor]: Taking taylor expansion of x in x 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.284 * [taylor]: Taking taylor expansion of -1 in x 0.284 * [backup-simplify]: Simplify -1 into -1 0.284 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.284 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.284 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.284 * [taylor]: Taking taylor expansion of y in x 0.284 * [backup-simplify]: Simplify y into y 0.284 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.284 * [taylor]: Taking taylor expansion of x in x 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (+ 0 1) into 1 0.285 * [backup-simplify]: Simplify (- 1) into -1 0.285 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.286 * [backup-simplify]: Simplify (* 1 -1) into -1 0.286 * [backup-simplify]: Simplify (* -1 -1) into 1 0.286 * [taylor]: Taking taylor expansion of 1 in y 0.286 * [backup-simplify]: Simplify 1 into 1 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.287 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.287 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.288 * [taylor]: Taking taylor expansion of 0 in y 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.291 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 0.291 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.291 * [taylor]: Taking taylor expansion of y in y 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 1 into 1 0.291 * [backup-simplify]: Simplify (* 1 1) into 1 0.291 * [backup-simplify]: Simplify (/ 1 1) into 1 0.292 * [backup-simplify]: Simplify (- 1) into -1 0.292 * [backup-simplify]: Simplify -1 into -1 0.292 * [backup-simplify]: Simplify 1 into 1 0.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.295 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.300 * [taylor]: Taking taylor expansion of 0 in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (- 0) into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.301 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.301 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.301 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.301 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.302 * [taylor]: Taking taylor expansion of x in y 0.302 * [backup-simplify]: Simplify x into x 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.302 * [taylor]: Taking taylor expansion of x in x 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.302 * [taylor]: Taking taylor expansion of y in x 0.302 * [backup-simplify]: Simplify y into y 0.302 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.302 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.302 * [taylor]: Taking taylor expansion of y in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.302 * [backup-simplify]: Simplify (+ 0 0) into 0 0.302 * [taylor]: Taking taylor expansion of 0 in y 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 0 into 0 0.303 * [backup-simplify]: Simplify (* 1 1) into 1 0.303 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.303 * [backup-simplify]: Simplify (+ 1 0) into 1 0.303 * [taylor]: Taking taylor expansion of 1 in y 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.304 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 0) into 0 0.305 * [taylor]: Taking taylor expansion of 0 in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.307 * [taylor]: Taking taylor expansion of 0 in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.307 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.307 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.307 * [taylor]: Taking taylor expansion of x in y 0.307 * [backup-simplify]: Simplify x into x 0.307 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.307 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.307 * [taylor]: Taking taylor expansion of y in y 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.308 * [taylor]: Taking taylor expansion of x in x 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 1 into 1 0.308 * [backup-simplify]: Simplify (* 1 1) into 1 0.308 * [backup-simplify]: Simplify (/ 1 1) into 1 0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.308 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.308 * [taylor]: Taking taylor expansion of y in x 0.308 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.309 * [taylor]: Taking taylor expansion of x in x 0.309 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify 1 into 1 0.309 * [backup-simplify]: Simplify (* 1 1) into 1 0.309 * [backup-simplify]: Simplify (/ 1 1) into 1 0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.309 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.309 * [taylor]: Taking taylor expansion of y in x 0.309 * [backup-simplify]: Simplify y into y 0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.310 * [backup-simplify]: Simplify (+ 1 0) into 1 0.310 * [taylor]: Taking taylor expansion of 1 in y 0.310 * [backup-simplify]: Simplify 1 into 1 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ 0 0) into 0 0.311 * [taylor]: Taking taylor expansion of 0 in y 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.312 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.312 * [taylor]: Taking taylor expansion of y in y 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [taylor]: Taking taylor expansion of 0 in y 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.316 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 0) into 0 0.317 * [taylor]: Taking taylor expansion of 0 in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify 0 into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.318 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.318 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.318 * [taylor]: Taking taylor expansion of x in y 0.319 * [backup-simplify]: Simplify x into x 0.319 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.319 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.319 * [taylor]: Taking taylor expansion of y in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.319 * [backup-simplify]: Simplify (* 1 1) into 1 0.319 * [backup-simplify]: Simplify (/ 1 1) into 1 0.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.319 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.319 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.319 * [taylor]: Taking taylor expansion of x in x 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.320 * [backup-simplify]: Simplify (/ 1 1) into 1 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.320 * [taylor]: Taking taylor expansion of y in x 0.320 * [backup-simplify]: Simplify y into y 0.320 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.320 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.320 * [taylor]: Taking taylor expansion of x in x 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 1 into 1 0.320 * [backup-simplify]: Simplify (* 1 1) into 1 0.321 * [backup-simplify]: Simplify (/ 1 1) into 1 0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.321 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.321 * [taylor]: Taking taylor expansion of y in x 0.321 * [backup-simplify]: Simplify y into y 0.321 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.321 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.321 * [backup-simplify]: Simplify (+ 1 0) into 1 0.321 * [taylor]: Taking taylor expansion of 1 in y 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ 0 0) into 0 0.322 * [taylor]: Taking taylor expansion of 0 in y 0.322 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (* 1 1) into 1 0.324 * [backup-simplify]: Simplify (/ 1 1) into 1 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify 0 into 0 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.328 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.330 * * * [progress]: simplifying candidates 0.331 * [simplify]: Simplifying: (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y)))) (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y)))) (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (- (* (- x y) (+ x y))) (- (+ (* x x) (* y y))) (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ x y) (cbrt (+ (* x x) (* y y)))) (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y)))) (/ (- x y) 1) (/ (+ x y) (+ (* x x) (* y y))) (/ 1 (+ (* x x) (* y y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) 1) (/ (+ (* x x) (* y y)) (+ x y)) (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y))) (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y))))) (* (+ (* x x) (* y y)) (* (+ x y) (- x y))) (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y)))) (* (+ (* x x) (* y y)) (- x y)) (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (* y y)) (+ x y)) (* (- x y) (+ x y)) (+ (log (- x y)) (log (+ x y))) (log (* (- x y) (+ x y))) (exp (* (- x y) (+ x y))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (cbrt (* (- x y) (+ x y))) (cbrt (* (- x y) (+ x y)))) (cbrt (* (- x y) (+ x y))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (sqrt (* (- x y) (+ x y))) (sqrt (* (- x y) (+ x y))) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (* (+ (* x x) (+ (* y y) (* x y))) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))) (* (- (* x x) (* y y)) (- (* x x) (* y y))) (* (+ x y) (- x y)) (* (sqrt (- x y)) (sqrt (+ x y))) (* (sqrt (- x y)) (sqrt (+ x y))) (* (- x y) x) (* (- x y) y) (* x (- x y)) (* y (- x y)) (* (- x y) (* (cbrt (+ x y)) (cbrt (+ x y)))) (* (- x y) (sqrt (+ x y))) (* (- x y) 1) (* (- x y) 1) (* (cbrt (- x y)) (+ x y)) (* (sqrt (- x y)) (+ x y)) (* (- x y) (+ x y)) (* (- (sqrt x) (sqrt y)) (+ x y)) (* (- x y) (+ x y)) (* (- x y) (+ (pow x 3) (pow y 3))) (* (- x y) (- (* x x) (* y y))) (* (- (pow x 3) (pow y 3)) (+ x y)) (* (- (* x x) (* y y)) (+ x y)) (* (exp (* x x)) (exp (* y y))) (log (+ (* x x) (* y y))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) -1 1 1 (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2)) 0.331 * [simplify]: Sending expressions to egg_math: (- (+ (log (- h1 h0)) (log (+ h1 h0))) (log (+ (* h1 h1) (* h0 h0)))) (- (log (* (- h1 h0) (+ h1 h0))) (log (+ (* h1 h1) (* h0 h0)))) (log (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (exp (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (/ (* (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))) (/ (* (* (* (- h1 h0) (+ h1 h0)) (* (- h1 h0) (+ h1 h0))) (* (- h1 h0) (+ h1 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0)))) (* (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))))) (cbrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (* (* (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))) (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (sqrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (sqrt (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0)))) (- (* (- h1 h0) (+ h1 h0))) (- (+ (* h1 h1) (* h0 h0))) (/ (- h1 h0) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (+ h1 h0) (cbrt (+ (* h1 h1) (* h0 h0)))) (/ (- h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (+ h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (- h1 h0) 1) (/ (+ h1 h0) (+ (* h1 h1) (* h0 h0))) (/ 1 (+ (* h1 h1) (* h0 h0))) (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0))) (/ (* (- h1 h0) (+ h1 h0)) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (* (- h1 h0) (+ h1 h0)) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (* (- h1 h0) (+ h1 h0)) 1) (/ (+ (* h1 h1) (* h0 h0)) (+ h1 h0)) (/ (* (- h1 h0) (+ h1 h0)) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (/ (* (- h1 h0) (+ h1 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (* (+ (* h1 h1) (* h0 h0)) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (* (+ (* h1 h1) (* h0 h0)) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (- h1 h0))) (* (+ (* h1 h1) (* h0 h0)) (* (+ h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (* (+ (* h1 h1) (* h0 h0)) (* (+ h1 h0) (- h1 h0))) (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (* h0 h0)) (- h1 h0)) (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (* h0 h0)) (+ h1 h0)) (* (- h1 h0) (+ 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h0) (* (cbrt (+ h1 h0)) (cbrt (+ h1 h0)))) (* (- h1 h0) (sqrt (+ h1 h0))) (* (- h1 h0) 1) (* (- h1 h0) 1) (* (cbrt (- h1 h0)) (+ h1 h0)) (* (sqrt (- h1 h0)) (+ h1 h0)) (* (- h1 h0) (+ h1 h0)) (* (- (sqrt h1) (sqrt h0)) (+ h1 h0)) (* (- h1 h0) (+ h1 h0)) (* (- h1 h0) (+ (pow h1 3) (pow h0 3))) (* (- h1 h0) (- (* h1 h1) (* h0 h0))) (* (- (pow h1 3) (pow h0 3)) (+ h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ h1 h0)) (* (exp (* h1 h1)) (exp (* h0 h0))) (log (+ (* h1 h1) (* h0 h0))) (exp (+ (* h1 h1) (* h0 h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (cbrt (+ (* h1 h1) (* h0 h0))) (* (* (+ (* h1 h1) (* h0 h0)) (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0))) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0)))) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* h0 h0)) -1 1 1 (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (- (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) (+ (pow h1 2) (pow h0 2)) 0.384 * * * [progress]: adding candidates to table 0.557 * * [progress]: iteration 2 / 4 0.557 * * * [progress]: picking best candidate 0.562 * * * * [pick]: Picked # 0.562 * * * [progress]: localizing error 0.576 * * * [progress]: generating rewritten candidates 0.576 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 0.585 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.593 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 0.731 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 0.787 * * * [progress]: generating series expansions 0.787 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 0.787 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.787 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.787 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.787 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.787 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.787 * [taylor]: Taking taylor expansion of x in y 0.787 * [backup-simplify]: Simplify x into x 0.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.787 * [taylor]: Taking taylor expansion of y in y 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.788 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.788 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.788 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.788 * [backup-simplify]: Simplify (+ 0 0) into 0 0.788 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.788 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.788 * [taylor]: Taking taylor expansion of x in x 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 1 into 1 0.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.788 * [taylor]: Taking taylor expansion of y in x 0.788 * [backup-simplify]: Simplify y into y 0.789 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.789 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.789 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.789 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.789 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.789 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.789 * [taylor]: Taking taylor expansion of x in x 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 1 into 1 0.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.789 * [taylor]: Taking taylor expansion of y in x 0.789 * [backup-simplify]: Simplify y into y 0.789 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.789 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.789 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.790 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.790 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.790 * [taylor]: Taking taylor expansion of y in y 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [taylor]: Taking taylor expansion of 0 in y 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.791 * [backup-simplify]: Simplify (+ 1 0) into 1 0.791 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.791 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.791 * [taylor]: Taking taylor expansion of 1/2 in y 0.791 * [backup-simplify]: Simplify 1/2 into 1/2 0.792 * [taylor]: Taking taylor expansion of y in y 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.794 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.794 * [taylor]: Taking taylor expansion of 0 in y 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.794 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.794 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.795 * [taylor]: Taking taylor expansion of x in y 0.795 * [backup-simplify]: Simplify x into x 0.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.795 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.795 * [taylor]: Taking taylor expansion of y in y 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (/ 1 1) into 1 0.796 * [backup-simplify]: Simplify (+ 0 1) into 1 0.796 * [backup-simplify]: Simplify (sqrt 1) into 1 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.797 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.797 * [taylor]: Taking taylor expansion of x in x 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (* 1 1) into 1 0.798 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.798 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.798 * [taylor]: Taking taylor expansion of y in x 0.798 * [backup-simplify]: Simplify y into y 0.798 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.798 * [backup-simplify]: Simplify (+ 1 0) into 1 0.799 * [backup-simplify]: Simplify (sqrt 1) into 1 0.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.800 * [taylor]: Taking taylor expansion of x in x 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.801 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.801 * [taylor]: Taking taylor expansion of y in x 0.801 * [backup-simplify]: Simplify y into y 0.801 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.801 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.801 * [backup-simplify]: Simplify (sqrt 1) into 1 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.803 * [taylor]: Taking taylor expansion of 1 in y 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [taylor]: Taking taylor expansion of 0 in y 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify 1 into 1 0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.805 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.805 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.805 * [taylor]: Taking taylor expansion of 1/2 in y 0.805 * [backup-simplify]: Simplify 1/2 into 1/2 0.805 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.805 * [taylor]: Taking taylor expansion of y in y 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.808 * [taylor]: Taking taylor expansion of 0 in y 0.808 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.810 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.810 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.810 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.810 * [taylor]: Taking taylor expansion of x in y 0.810 * [backup-simplify]: Simplify x into x 0.810 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.810 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.810 * [taylor]: Taking taylor expansion of y in y 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [backup-simplify]: Simplify (+ 0 1) into 1 0.811 * [backup-simplify]: Simplify (sqrt 1) into 1 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.812 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.812 * [taylor]: Taking taylor expansion of x in x 0.812 * [backup-simplify]: Simplify 0 into 0 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.813 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.813 * [taylor]: Taking taylor expansion of y in x 0.813 * [backup-simplify]: Simplify y into y 0.813 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.813 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.813 * [backup-simplify]: Simplify (+ 1 0) into 1 0.814 * [backup-simplify]: Simplify (sqrt 1) into 1 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.815 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.815 * [taylor]: Taking taylor expansion of x in x 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (/ 1 1) into 1 0.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.816 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.816 * [taylor]: Taking taylor expansion of y in x 0.816 * [backup-simplify]: Simplify y into y 0.816 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.816 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.816 * [backup-simplify]: Simplify (+ 1 0) into 1 0.816 * [backup-simplify]: Simplify (sqrt 1) into 1 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.818 * [taylor]: Taking taylor expansion of 1 in y 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [taylor]: Taking taylor expansion of 0 in y 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.820 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.820 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.820 * [taylor]: Taking taylor expansion of 1/2 in y 0.820 * [backup-simplify]: Simplify 1/2 into 1/2 0.820 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.820 * [taylor]: Taking taylor expansion of y in y 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [backup-simplify]: Simplify (* 1 1) into 1 0.820 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.823 * [taylor]: Taking taylor expansion of 0 in y 0.823 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.825 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.825 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 0.825 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 0.825 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 0.825 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.825 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.825 * [taylor]: Taking taylor expansion of x in y 0.825 * [backup-simplify]: Simplify x into x 0.825 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.825 * [taylor]: Taking taylor expansion of y in y 0.825 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify 1 into 1 0.825 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.825 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.825 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 0.825 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.826 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.826 * [taylor]: Taking taylor expansion of y in x 0.826 * [backup-simplify]: Simplify y into y 0.826 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.826 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.826 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.826 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.826 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 0.826 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.826 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.826 * [taylor]: Taking taylor expansion of x in x 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 1 into 1 0.827 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.827 * [taylor]: Taking taylor expansion of y in x 0.827 * [backup-simplify]: Simplify y into y 0.827 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.827 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.827 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 0.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.827 * [backup-simplify]: Simplify (+ 0 0) into 0 0.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 0.827 * [taylor]: Taking taylor expansion of y in y 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [taylor]: Taking taylor expansion of 0 in y 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.828 * [backup-simplify]: Simplify (+ 1 0) into 1 0.829 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 0.829 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 0.829 * [taylor]: Taking taylor expansion of 1/2 in y 0.829 * [backup-simplify]: Simplify 1/2 into 1/2 0.829 * [taylor]: Taking taylor expansion of y in y 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 1 into 1 0.829 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.830 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 0.831 * [taylor]: Taking taylor expansion of 0 in y 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 0.832 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.832 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.832 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.832 * [taylor]: Taking taylor expansion of x in y 0.832 * [backup-simplify]: Simplify x into x 0.832 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.832 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.832 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.832 * [taylor]: Taking taylor expansion of y in y 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (* 1 1) into 1 0.832 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [backup-simplify]: Simplify (+ 0 1) into 1 0.833 * [backup-simplify]: Simplify (sqrt 1) into 1 0.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.834 * [backup-simplify]: Simplify (+ 0 0) into 0 0.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.834 * [taylor]: Taking taylor expansion of x in x 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.835 * [backup-simplify]: Simplify (* 1 1) into 1 0.835 * [backup-simplify]: Simplify (/ 1 1) into 1 0.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.835 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.835 * [taylor]: Taking taylor expansion of y in x 0.835 * [backup-simplify]: Simplify y into y 0.835 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.835 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.836 * [backup-simplify]: Simplify (+ 1 0) into 1 0.836 * [backup-simplify]: Simplify (sqrt 1) into 1 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.837 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.837 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.837 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.837 * [taylor]: Taking taylor expansion of x in x 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (* 1 1) into 1 0.838 * [backup-simplify]: Simplify (/ 1 1) into 1 0.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.838 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.838 * [taylor]: Taking taylor expansion of y in x 0.838 * [backup-simplify]: Simplify y into y 0.838 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.838 * [backup-simplify]: Simplify (+ 1 0) into 1 0.838 * [backup-simplify]: Simplify (sqrt 1) into 1 0.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ 0 0) into 0 0.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.840 * [taylor]: Taking taylor expansion of 1 in y 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [taylor]: Taking taylor expansion of 0 in y 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.842 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.842 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.842 * [taylor]: Taking taylor expansion of 1/2 in y 0.842 * [backup-simplify]: Simplify 1/2 into 1/2 0.842 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.842 * [taylor]: Taking taylor expansion of y in y 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.845 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.845 * [taylor]: Taking taylor expansion of 0 in y 0.845 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 0.847 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.847 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.847 * [taylor]: Taking taylor expansion of x in y 0.847 * [backup-simplify]: Simplify x into x 0.847 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.847 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.847 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.847 * [taylor]: Taking taylor expansion of y in y 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [backup-simplify]: Simplify (/ 1 1) into 1 0.848 * [backup-simplify]: Simplify (+ 0 1) into 1 0.848 * [backup-simplify]: Simplify (sqrt 1) into 1 0.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.850 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.850 * [taylor]: Taking taylor expansion of x in x 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.850 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.850 * [taylor]: Taking taylor expansion of y in x 0.850 * [backup-simplify]: Simplify y into y 0.850 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.850 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.851 * [backup-simplify]: Simplify (+ 1 0) into 1 0.851 * [backup-simplify]: Simplify (sqrt 1) into 1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.852 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.852 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.852 * [taylor]: Taking taylor expansion of x in x 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (* 1 1) into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.853 * [taylor]: Taking taylor expansion of y in x 0.853 * [backup-simplify]: Simplify y into y 0.853 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.853 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.853 * [backup-simplify]: Simplify (+ 1 0) into 1 0.854 * [backup-simplify]: Simplify (sqrt 1) into 1 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.855 * [taylor]: Taking taylor expansion of 1 in y 0.855 * [backup-simplify]: Simplify 1 into 1 0.855 * [taylor]: Taking taylor expansion of 0 in y 0.855 * [backup-simplify]: Simplify 0 into 0 0.855 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 0.857 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 0.857 * [taylor]: Taking taylor expansion of 1/2 in y 0.857 * [backup-simplify]: Simplify 1/2 into 1/2 0.857 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.857 * [taylor]: Taking taylor expansion of y in y 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (* 1 1) into 1 0.858 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify 0 into 0 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.860 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 0.861 * [taylor]: Taking taylor expansion of 0 in y 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 0.862 * * * * [progress]: [ 3 / 4 ] generating series at (2) 0.862 * [backup-simplify]: Simplify (* (/ (- x y) (sqrt (+ (* x x) (* y y)))) (/ (+ x y) (sqrt (+ (* x x) (* y y))))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.862 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.862 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.862 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.862 * [taylor]: Taking taylor expansion of (+ x y) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [backup-simplify]: Simplify x into x 0.862 * [taylor]: Taking taylor expansion of y in y 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of (- x y) in y 0.862 * [taylor]: Taking taylor expansion of x in y 0.862 * [backup-simplify]: Simplify x into x 0.862 * [taylor]: Taking taylor expansion of y in y 0.862 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify 1 into 1 0.862 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.863 * [taylor]: Taking taylor expansion of x in y 0.863 * [backup-simplify]: Simplify x into x 0.863 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.863 * [taylor]: Taking taylor expansion of y in y 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [backup-simplify]: Simplify (+ x 0) into x 0.863 * [backup-simplify]: Simplify (- 0) into 0 0.863 * [backup-simplify]: Simplify (+ x 0) into x 0.863 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.863 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.863 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.863 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.863 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.863 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.863 * [taylor]: Taking taylor expansion of (+ x y) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [backup-simplify]: Simplify y into y 0.863 * [taylor]: Taking taylor expansion of (- x y) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [backup-simplify]: Simplify 1 into 1 0.863 * [taylor]: Taking taylor expansion of y in x 0.863 * [backup-simplify]: Simplify y into y 0.863 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.863 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.863 * [taylor]: Taking taylor expansion of x in x 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [backup-simplify]: Simplify y into y 0.864 * [backup-simplify]: Simplify (+ 0 y) into y 0.864 * [backup-simplify]: Simplify (- y) into (- y) 0.864 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.864 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.864 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.864 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.864 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.864 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.864 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.864 * [taylor]: Taking taylor expansion of (+ x y) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [backup-simplify]: Simplify y into y 0.864 * [taylor]: Taking taylor expansion of (- x y) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [backup-simplify]: Simplify y into y 0.864 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.864 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.864 * [taylor]: Taking taylor expansion of x in x 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify 1 into 1 0.864 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.864 * [taylor]: Taking taylor expansion of y in x 0.864 * [backup-simplify]: Simplify y into y 0.864 * [backup-simplify]: Simplify (+ 0 y) into y 0.864 * [backup-simplify]: Simplify (- y) into (- y) 0.864 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.864 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.865 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.865 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.865 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.865 * [taylor]: Taking taylor expansion of -1 in y 0.865 * [backup-simplify]: Simplify -1 into -1 0.865 * [backup-simplify]: Simplify -1 into -1 0.865 * [backup-simplify]: Simplify (- 0) into 0 0.865 * [backup-simplify]: Simplify (+ 1 0) into 1 0.866 * [backup-simplify]: Simplify (+ 1 0) into 1 0.866 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.866 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.866 * [taylor]: Taking taylor expansion of 0 in y 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (- 0) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [backup-simplify]: Simplify (+ 0 0) into 0 0.867 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.867 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.868 * [backup-simplify]: Simplify (+ 1 0) into 1 0.868 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.868 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.868 * [taylor]: Taking taylor expansion of 2 in y 0.868 * [backup-simplify]: Simplify 2 into 2 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.868 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.868 * [taylor]: Taking taylor expansion of y in y 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (* 1 1) into 1 0.869 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify (- 0) into 0 0.872 * [backup-simplify]: Simplify (+ 0 0) into 0 0.874 * [backup-simplify]: Simplify (+ 0 0) into 0 0.875 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.876 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.876 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0 0.877 * [taylor]: Taking taylor expansion of 0 in y 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify -1 into -1 0.877 * [backup-simplify]: Simplify (* (/ (- (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (/ (+ (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.877 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 0.877 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.877 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.877 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.877 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.877 * [taylor]: Taking taylor expansion of x in y 0.877 * [backup-simplify]: Simplify x into x 0.877 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.877 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.877 * [taylor]: Taking taylor expansion of y in y 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ 1 1) into 1 0.878 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [backup-simplify]: Simplify x into x 0.878 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.878 * [taylor]: Taking taylor expansion of x in y 0.878 * [backup-simplify]: Simplify x into x 0.878 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.878 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.878 * [taylor]: Taking taylor expansion of y in y 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.879 * [backup-simplify]: Simplify (* 1 1) into 1 0.879 * [backup-simplify]: Simplify (/ 1 1) into 1 0.879 * [backup-simplify]: Simplify (- 1) into -1 0.879 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.880 * [backup-simplify]: Simplify (+ 1 0) into 1 0.880 * [backup-simplify]: Simplify (* -1 1) into -1 0.880 * [backup-simplify]: Simplify (+ 0 1) into 1 0.880 * [backup-simplify]: Simplify (/ -1 1) into -1 0.880 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.880 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.880 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.880 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.880 * [taylor]: Taking taylor expansion of x in x 0.880 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [backup-simplify]: Simplify y into y 0.881 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.881 * [taylor]: Taking taylor expansion of y in x 0.881 * [backup-simplify]: Simplify y into y 0.881 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.881 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.881 * [backup-simplify]: Simplify (/ 1 1) into 1 0.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.881 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.881 * [taylor]: Taking taylor expansion of x in x 0.881 * [backup-simplify]: Simplify 0 into 0 0.881 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (* 1 1) into 1 0.882 * [backup-simplify]: Simplify (/ 1 1) into 1 0.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.882 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.882 * [taylor]: Taking taylor expansion of y in x 0.882 * [backup-simplify]: Simplify y into y 0.882 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.882 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.882 * [backup-simplify]: Simplify (+ 1 0) into 1 0.883 * [backup-simplify]: Simplify (+ 0 1) into 1 0.883 * [backup-simplify]: Simplify (* 1 1) into 1 0.883 * [backup-simplify]: Simplify (+ 1 0) into 1 0.883 * [backup-simplify]: Simplify (/ 1 1) into 1 0.883 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.883 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.883 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.883 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.883 * [taylor]: Taking taylor expansion of x in x 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (/ 1 1) into 1 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [backup-simplify]: Simplify y into y 0.884 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.884 * [taylor]: Taking taylor expansion of y in x 0.884 * [backup-simplify]: Simplify y into y 0.884 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.884 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (/ 1 1) into 1 0.884 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.884 * [taylor]: Taking taylor expansion of x in x 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.885 * [backup-simplify]: Simplify (/ 1 1) into 1 0.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.885 * [taylor]: Taking taylor expansion of y in x 0.885 * [backup-simplify]: Simplify y into y 0.885 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.885 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.885 * [backup-simplify]: Simplify (+ 1 0) into 1 0.886 * [backup-simplify]: Simplify (+ 0 1) into 1 0.886 * [backup-simplify]: Simplify (* 1 1) into 1 0.886 * [backup-simplify]: Simplify (+ 1 0) into 1 0.886 * [backup-simplify]: Simplify (/ 1 1) into 1 0.886 * [taylor]: Taking taylor expansion of 1 in y 0.886 * [backup-simplify]: Simplify 1 into 1 0.886 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.887 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.888 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.889 * [taylor]: Taking taylor expansion of 0 in y 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (+ 0 0) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.890 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.891 * [backup-simplify]: Simplify (- 0) into 0 0.891 * [backup-simplify]: Simplify (+ 0 0) into 0 0.891 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.893 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.893 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.893 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.893 * [taylor]: Taking taylor expansion of 2 in y 0.893 * [backup-simplify]: Simplify 2 into 2 0.893 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.893 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.893 * [taylor]: Taking taylor expansion of y in y 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.894 * [backup-simplify]: Simplify (/ 1 1) into 1 0.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.896 * [backup-simplify]: Simplify (- 0) into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.897 * [backup-simplify]: Simplify (+ 0 0) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.900 * [backup-simplify]: Simplify (+ 0 0) into 0 0.901 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 0.901 * [taylor]: Taking taylor expansion of 0 in y 0.901 * [backup-simplify]: Simplify 0 into 0 0.901 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.902 * [backup-simplify]: Simplify (* (/ (- (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (/ (+ (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 0.902 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0 0.902 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.902 * [taylor]: Taking taylor expansion of -1 in y 0.902 * [backup-simplify]: Simplify -1 into -1 0.902 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.902 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.902 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.902 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.902 * [taylor]: Taking taylor expansion of y in y 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (/ 1 1) into 1 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [backup-simplify]: Simplify x into x 0.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.903 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (/ 1 1) into 1 0.903 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [backup-simplify]: Simplify x into x 0.903 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.903 * [taylor]: Taking taylor expansion of x in y 0.903 * [backup-simplify]: Simplify x into x 0.903 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.903 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.903 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.903 * [taylor]: Taking taylor expansion of y in y 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [backup-simplify]: Simplify (+ 1 0) into 1 0.904 * [backup-simplify]: Simplify (+ 1 0) into 1 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (+ 0 1) into 1 0.905 * [backup-simplify]: Simplify (/ 1 1) into 1 0.905 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.905 * [taylor]: Taking taylor expansion of -1 in x 0.905 * [backup-simplify]: Simplify -1 into -1 0.905 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.905 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.905 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.905 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.905 * [taylor]: Taking taylor expansion of y in x 0.905 * [backup-simplify]: Simplify y into y 0.905 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.905 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.905 * [taylor]: Taking taylor expansion of x in x 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.906 * [taylor]: Taking taylor expansion of y in x 0.906 * [backup-simplify]: Simplify y into y 0.906 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.906 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.906 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.906 * [taylor]: Taking taylor expansion of x in x 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (* 1 1) into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.907 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.907 * [taylor]: Taking taylor expansion of y in x 0.907 * [backup-simplify]: Simplify y into y 0.907 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.907 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.907 * [backup-simplify]: Simplify (+ 0 1) into 1 0.907 * [backup-simplify]: Simplify (- 1) into -1 0.907 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.908 * [backup-simplify]: Simplify (* 1 -1) into -1 0.908 * [backup-simplify]: Simplify (+ 1 0) into 1 0.908 * [backup-simplify]: Simplify (/ -1 1) into -1 0.908 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.908 * [taylor]: Taking taylor expansion of -1 in x 0.908 * [backup-simplify]: Simplify -1 into -1 0.908 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.908 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.908 * [taylor]: Taking taylor expansion of y in x 0.908 * [backup-simplify]: Simplify y into y 0.908 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.908 * [taylor]: Taking taylor expansion of x in x 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.909 * [taylor]: Taking taylor expansion of y in x 0.909 * [backup-simplify]: Simplify y into y 0.909 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.909 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.909 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.909 * [taylor]: Taking taylor expansion of x in x 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.910 * [taylor]: Taking taylor expansion of y in x 0.910 * [backup-simplify]: Simplify y into y 0.910 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.910 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.910 * [backup-simplify]: Simplify (+ 0 1) into 1 0.910 * [backup-simplify]: Simplify (- 1) into -1 0.911 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.911 * [backup-simplify]: Simplify (* 1 -1) into -1 0.911 * [backup-simplify]: Simplify (+ 1 0) into 1 0.911 * [backup-simplify]: Simplify (/ -1 1) into -1 0.912 * [backup-simplify]: Simplify (* -1 -1) into 1 0.912 * [taylor]: Taking taylor expansion of 1 in y 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (- 0) into 0 0.912 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.913 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.915 * [taylor]: Taking taylor expansion of 0 in y 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify 0 into 0 0.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- 0) into 0 0.916 * [backup-simplify]: Simplify (+ 0 0) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.919 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.920 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.920 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.920 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.920 * [taylor]: Taking taylor expansion of 2 in y 0.920 * [backup-simplify]: Simplify 2 into 2 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.920 * [taylor]: Taking taylor expansion of y in y 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.923 * [backup-simplify]: Simplify (- 0) into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (- 0) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.925 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.929 * [taylor]: Taking taylor expansion of 0 in y 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 0.929 * [backup-simplify]: Simplify (/ (- x y) (sqrt (+ (* x x) (* y y)))) into (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) 0.929 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in (x y) around 0 0.929 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in y 0.929 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y 0.929 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y 0.929 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.929 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.929 * [taylor]: Taking taylor expansion of x in y 0.929 * [backup-simplify]: Simplify x into x 0.929 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.929 * [taylor]: Taking taylor expansion of y in y 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.929 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.929 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.929 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x) 0.929 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 0.930 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 0.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0 0.930 * [taylor]: Taking taylor expansion of (- x y) in y 0.930 * [taylor]: Taking taylor expansion of x in y 0.930 * [backup-simplify]: Simplify x into x 0.930 * [taylor]: Taking taylor expansion of y in y 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in x 0.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.930 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.930 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.930 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.930 * [taylor]: Taking taylor expansion of x in x 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 1 into 1 0.930 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.930 * [taylor]: Taking taylor expansion of y in x 0.930 * [backup-simplify]: Simplify y into y 0.930 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.930 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.931 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.931 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y) 0.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.931 * [backup-simplify]: Simplify (+ 0 0) into 0 0.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0 0.931 * [taylor]: Taking taylor expansion of (- x y) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [taylor]: Taking taylor expansion of y in x 0.931 * [backup-simplify]: Simplify y into y 0.931 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (- x y)) in x 0.931 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x 0.931 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x 0.931 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.931 * [taylor]: Taking taylor expansion of x in x 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.932 * [taylor]: Taking taylor expansion of y in x 0.932 * [backup-simplify]: Simplify y into y 0.932 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.932 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.932 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.932 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y) 0.932 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.932 * [backup-simplify]: Simplify (+ 0 0) into 0 0.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0 0.932 * [taylor]: Taking taylor expansion of (- x y) in x 0.932 * [taylor]: Taking taylor expansion of x in x 0.932 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.933 * [taylor]: Taking taylor expansion of y in x 0.933 * [backup-simplify]: Simplify y into y 0.933 * [backup-simplify]: Simplify (- y) into (- y) 0.933 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.933 * [backup-simplify]: Simplify (* (/ 1 y) (- y)) into -1 0.933 * [taylor]: Taking taylor expansion of -1 in y 0.933 * [backup-simplify]: Simplify -1 into -1 0.933 * [backup-simplify]: Simplify -1 into -1 0.933 * [backup-simplify]: Simplify (- 0) into 0 0.933 * [backup-simplify]: Simplify (+ 1 0) into 1 0.933 * [backup-simplify]: Simplify (+ (* (/ 1 y) 1) (* 0 (- y))) into (/ 1 y) 0.933 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.933 * [taylor]: Taking taylor expansion of y in y 0.933 * [backup-simplify]: Simplify 0 into 0 0.933 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (/ 1 1) into 1 0.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify (- 0) into 0 0.935 * [backup-simplify]: Simplify (+ 0 0) into 0 0.935 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.935 * [backup-simplify]: Simplify (+ 1 0) into 1 0.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 0.936 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+)) (* 2 (/ 1 y))) into (/ -1/2 (pow y 3)) 0.937 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 1) (* (/ -1/2 (pow y 3)) (- y)))) into (* 1/2 (/ 1 (pow y 2))) 0.937 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.937 * [taylor]: Taking taylor expansion of 1/2 in y 0.937 * [backup-simplify]: Simplify 1/2 into 1/2 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.937 * [taylor]: Taking taylor expansion of y in y 0.937 * [backup-simplify]: Simplify 0 into 0 0.937 * [backup-simplify]: Simplify 1 into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.941 * [backup-simplify]: Simplify (- 0) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.942 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 4))) (/ 0 (pow y 2))))) into 0 0.942 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 3)))))) (* 2 (/ 1 y))) into 0 0.943 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y 3)) 1) (* 0 (- y))))) into (- (* 1/2 (/ 1 (pow y 3)))) 0.943 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 0.943 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.943 * [taylor]: Taking taylor expansion of 1/2 in y 0.943 * [backup-simplify]: Simplify 1/2 into 1/2 0.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.943 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.943 * [taylor]: Taking taylor expansion of y in y 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 1 into 1 0.943 * [backup-simplify]: Simplify (* 1 1) into 1 0.944 * [backup-simplify]: Simplify (* 1 1) into 1 0.944 * [backup-simplify]: Simplify (/ 1 1) into 1 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (- 0) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify -1 into -1 0.949 * [backup-simplify]: Simplify (/ (- (/ 1 x) (/ 1 y)) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) 0.949 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0 0.949 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y 0.949 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.949 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.949 * [taylor]: Taking taylor expansion of x in y 0.949 * [backup-simplify]: Simplify x into x 0.949 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.949 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.949 * [taylor]: Taking taylor expansion of y in y 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ 1 1) into 1 0.950 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.950 * [taylor]: Taking taylor expansion of x in y 0.950 * [backup-simplify]: Simplify x into x 0.950 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.950 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.950 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.950 * [taylor]: Taking taylor expansion of y in y 0.950 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (* 1 1) into 1 0.951 * [backup-simplify]: Simplify (/ 1 1) into 1 0.951 * [backup-simplify]: Simplify (+ 0 1) into 1 0.951 * [backup-simplify]: Simplify (/ 1 1) into 1 0.951 * [backup-simplify]: Simplify (sqrt 1) into 1 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.953 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.953 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.953 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.953 * [taylor]: Taking taylor expansion of x in x 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 1 into 1 0.953 * [backup-simplify]: Simplify (/ 1 1) into 1 0.953 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.953 * [taylor]: Taking taylor expansion of y in x 0.954 * [backup-simplify]: Simplify y into y 0.954 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.954 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify 1 into 1 0.954 * [backup-simplify]: Simplify (* 1 1) into 1 0.954 * [backup-simplify]: Simplify (/ 1 1) into 1 0.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.954 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.954 * [taylor]: Taking taylor expansion of y in x 0.954 * [backup-simplify]: Simplify y into y 0.954 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.954 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.955 * [backup-simplify]: Simplify (+ 1 0) into 1 0.955 * [backup-simplify]: Simplify (/ 1 1) into 1 0.955 * [backup-simplify]: Simplify (sqrt 1) into 1 0.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.957 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x 0.957 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [backup-simplify]: Simplify 0 into 0 0.957 * [backup-simplify]: Simplify 1 into 1 0.957 * [backup-simplify]: Simplify (/ 1 1) into 1 0.957 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.957 * [taylor]: Taking taylor expansion of y in x 0.957 * [backup-simplify]: Simplify y into y 0.957 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.957 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.957 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.957 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.957 * [taylor]: Taking taylor expansion of x in x 0.957 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.958 * [backup-simplify]: Simplify (* 1 1) into 1 0.958 * [backup-simplify]: Simplify (/ 1 1) into 1 0.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.958 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.958 * [taylor]: Taking taylor expansion of y in x 0.958 * [backup-simplify]: Simplify y into y 0.958 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.958 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.958 * [backup-simplify]: Simplify (+ 1 0) into 1 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [backup-simplify]: Simplify (sqrt 1) into 1 0.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.961 * [backup-simplify]: Simplify (+ 1 0) into 1 0.961 * [backup-simplify]: Simplify (* 1 1) into 1 0.961 * [taylor]: Taking taylor expansion of 1 in y 0.961 * [backup-simplify]: Simplify 1 into 1 0.961 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.962 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.962 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 y)) 1)) into (- (/ 1 y)) 0.964 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y 0.965 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.965 * [taylor]: Taking taylor expansion of y in y 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (/ 1 1) into 1 0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.966 * [backup-simplify]: Simplify (- 0) into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 0.968 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y 2)) 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.969 * [backup-simplify]: Simplify (- 0) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.969 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 2))) (+ (* (- (/ 1 y)) 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y 2)))) 0.969 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 2)))) in y 0.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 0.970 * [taylor]: Taking taylor expansion of 1/2 in y 0.970 * [backup-simplify]: Simplify 1/2 into 1/2 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.970 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.970 * [taylor]: Taking taylor expansion of y in y 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (* 1 1) into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.973 * [backup-simplify]: Simplify (- 0) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (- 0) into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.973 * [backup-simplify]: Simplify 0 into 0 0.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.976 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 2)))))) (* 2 1)) into 0 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.977 * [backup-simplify]: Simplify (- 0) into 0 0.977 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ -1/2 (pow y 2))) (+ (* 0 0) (* 0 1)))) into (* 1/2 (/ 1 (pow y 3))) 0.978 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 0.978 * [taylor]: Taking taylor expansion of 1/2 in y 0.978 * [backup-simplify]: Simplify 1/2 into 1/2 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 0.978 * [taylor]: Taking taylor expansion of (pow y 3) in y 0.978 * [taylor]: Taking taylor expansion of y in y 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (* 1 1) into 1 0.979 * [backup-simplify]: Simplify (/ 1 1) into 1 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.981 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.984 * [backup-simplify]: Simplify (/ (- (/ 1 (- x)) (/ 1 (- y))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) 0.984 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in (x y) around 0 0.984 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in y 0.984 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.984 * [taylor]: Taking taylor expansion of x in y 0.984 * [backup-simplify]: Simplify x into x 0.984 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.984 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.984 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.984 * [taylor]: Taking taylor expansion of y in y 0.984 * [backup-simplify]: Simplify 0 into 0 0.984 * [backup-simplify]: Simplify 1 into 1 0.985 * [backup-simplify]: Simplify (* 1 1) into 1 0.985 * [backup-simplify]: Simplify (/ 1 1) into 1 0.985 * [backup-simplify]: Simplify (+ 0 1) into 1 0.985 * [backup-simplify]: Simplify (/ 1 1) into 1 0.986 * [backup-simplify]: Simplify (sqrt 1) into 1 0.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.987 * [backup-simplify]: Simplify (+ 0 0) into 0 0.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.988 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.988 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.988 * [taylor]: Taking taylor expansion of y in y 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.988 * [backup-simplify]: Simplify (/ 1 1) into 1 0.988 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.988 * [taylor]: Taking taylor expansion of x in y 0.988 * [backup-simplify]: Simplify x into x 0.988 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.988 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in x 0.988 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.988 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.988 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.988 * [taylor]: Taking taylor expansion of x in x 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 1 into 1 0.989 * [backup-simplify]: Simplify (* 1 1) into 1 0.989 * [backup-simplify]: Simplify (/ 1 1) into 1 0.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.989 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.989 * [taylor]: Taking taylor expansion of y in x 0.989 * [backup-simplify]: Simplify y into y 0.989 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.989 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.989 * [backup-simplify]: Simplify (+ 1 0) into 1 0.989 * [backup-simplify]: Simplify (/ 1 1) into 1 0.990 * [backup-simplify]: Simplify (sqrt 1) into 1 0.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.992 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.992 * [taylor]: Taking taylor expansion of y in x 0.992 * [backup-simplify]: Simplify y into y 0.992 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.992 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (/ 1 1) into 1 0.992 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (- (/ 1 y) (/ 1 x))) in x 0.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.992 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.992 * [taylor]: Taking taylor expansion of x in x 0.992 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify 1 into 1 0.992 * [backup-simplify]: Simplify (* 1 1) into 1 0.993 * [backup-simplify]: Simplify (/ 1 1) into 1 0.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.993 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.993 * [taylor]: Taking taylor expansion of y in x 0.993 * [backup-simplify]: Simplify y into y 0.993 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.993 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.993 * [backup-simplify]: Simplify (+ 1 0) into 1 0.993 * [backup-simplify]: Simplify (/ 1 1) into 1 0.994 * [backup-simplify]: Simplify (sqrt 1) into 1 0.994 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 0.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.995 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.995 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.995 * [taylor]: Taking taylor expansion of y in x 0.995 * [backup-simplify]: Simplify y into y 0.995 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.995 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.995 * [taylor]: Taking taylor expansion of x in x 0.996 * [backup-simplify]: Simplify 0 into 0 0.996 * [backup-simplify]: Simplify 1 into 1 0.996 * [backup-simplify]: Simplify (/ 1 1) into 1 0.996 * [backup-simplify]: Simplify (- 1) into -1 0.996 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.997 * [backup-simplify]: Simplify (* 1 -1) into -1 0.997 * [taylor]: Taking taylor expansion of -1 in y 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [backup-simplify]: Simplify -1 into -1 0.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.997 * [backup-simplify]: Simplify (- 0) into 0 0.997 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.998 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* 0 -1)) into (/ 1 y) 0.998 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.998 * [taylor]: Taking taylor expansion of y in y 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 1 into 1 0.998 * [backup-simplify]: Simplify (/ 1 1) into 1 0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.999 * [backup-simplify]: Simplify (- 0) into 0 0.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.001 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.001 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 1.002 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y 2)) 1.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 y)) (* (/ -1/2 (pow y 2)) -1))) into (* 1/2 (/ 1 (pow y 2))) 1.002 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y 1.002 * [taylor]: Taking taylor expansion of 1/2 in y 1.002 * [backup-simplify]: Simplify 1/2 into 1/2 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.002 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.002 * [taylor]: Taking taylor expansion of y in y 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.003 * [backup-simplify]: Simplify (* 1 1) into 1 1.003 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.005 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify 0 into 0 1.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (- 0) into 0 1.007 * [backup-simplify]: Simplify (+ 0 0) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.008 * [backup-simplify]: Simplify (+ 0 0) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 2)))))) (* 2 1)) into 0 1.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y 2)) (/ 1 y)) (* 0 -1)))) into (- (* 1/2 (/ 1 (pow y 3)))) 1.011 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y 3)))) in y 1.011 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 3))) in y 1.011 * [taylor]: Taking taylor expansion of 1/2 in y 1.011 * [backup-simplify]: Simplify 1/2 into 1/2 1.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y 1.011 * [taylor]: Taking taylor expansion of (pow y 3) in y 1.011 * [taylor]: Taking taylor expansion of y in y 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 1 into 1 1.011 * [backup-simplify]: Simplify (* 1 1) into 1 1.011 * [backup-simplify]: Simplify (* 1 1) into 1 1.011 * [backup-simplify]: Simplify (/ 1 1) into 1 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (- 0) into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.016 * [backup-simplify]: Simplify -1 into -1 1.017 * * * [progress]: simplifying candidates 1.019 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* 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(/ 1 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ (- h1 h0) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 1 (sqrt 1)) (/ (- h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ 1 (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ (- h1 h0) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ 1 1) (/ (- h1 h0) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ 1 (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (sqrt (+ (* h1 h1) (* h0 h0))) (- h1 h0)) (/ (- h1 h0) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (/ (- h1 h0) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))))) (/ (- h1 h0) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ (- h1 h0) (sqrt 1)) (/ (- h1 h0) (sqrt (sqrt (+ (* h1 h1) (* h0 h0))))) (/ (- h1 h0) 1) (/ (sqrt (+ (* h1 h1) (* h0 h0))) (cbrt (- h1 h0))) (/ (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (- h1 h0))) (/ (sqrt (+ (* h1 h1) (* h0 h0))) (- h1 h0)) (/ (sqrt (+ (* h1 h1) (* h0 h0))) (- (sqrt h1) (sqrt h0))) (/ (sqrt (+ (* h1 h1) (* h0 h0))) (- h1 h0)) (/ (- h1 h0) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3)))) (/ (- h1 h0) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0))))) (* (sqrt (+ (* h1 h1) (* h0 h0))) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (sqrt (+ (* h1 h1) (* h0 h0))) (+ h1 h0)) h0 h1 (* -1 h1) h0 h1 (* -1 h1) -1 1 1 -1 1 -1 1.080 * * * [progress]: adding candidates to table 1.489 * * [progress]: iteration 3 / 4 1.489 * * * [progress]: picking best candidate 1.493 * * * * [pick]: Picked # 1.493 * * * [progress]: localizing error 1.530 * * * [progress]: generating rewritten candidates 1.530 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.539 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2 1) 1.547 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 2 2 1) 1.556 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 1 1) 1.565 * * * [progress]: generating series expansions 1.566 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.566 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.566 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.566 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.566 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.566 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.566 * [taylor]: Taking taylor expansion of x in y 1.566 * [backup-simplify]: Simplify x into x 1.566 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.566 * [taylor]: Taking taylor expansion of y in y 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.566 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.566 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.566 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.567 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.567 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.567 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.567 * [taylor]: Taking taylor expansion of x in x 1.567 * [backup-simplify]: Simplify 0 into 0 1.567 * [backup-simplify]: Simplify 1 into 1 1.567 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.567 * [taylor]: Taking taylor expansion of y in x 1.567 * [backup-simplify]: Simplify y into y 1.567 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.567 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.567 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.567 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.567 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.568 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.568 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.568 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.568 * [taylor]: Taking taylor expansion of x in x 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.568 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.568 * [taylor]: Taking taylor expansion of y in x 1.568 * [backup-simplify]: Simplify y into y 1.568 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.568 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.568 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.568 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.568 * [taylor]: Taking taylor expansion of y in y 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [taylor]: Taking taylor expansion of 0 in y 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 0 into 0 1.569 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (* 1 1) into 1 1.569 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.569 * [backup-simplify]: Simplify (+ 1 0) into 1 1.570 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.570 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.570 * [taylor]: Taking taylor expansion of 1/2 in y 1.570 * [backup-simplify]: Simplify 1/2 into 1/2 1.570 * [taylor]: Taking taylor expansion of y in y 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 1 into 1 1.570 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.572 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.572 * [backup-simplify]: Simplify (+ 0 0) into 0 1.572 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.572 * [taylor]: Taking taylor expansion of 0 in y 1.572 * [backup-simplify]: Simplify 0 into 0 1.572 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.573 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.573 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.573 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.573 * [taylor]: Taking taylor expansion of x in y 1.573 * [backup-simplify]: Simplify x into x 1.573 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.573 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.573 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.573 * [taylor]: Taking taylor expansion of y in y 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (/ 1 1) into 1 1.574 * [backup-simplify]: Simplify (+ 0 1) into 1 1.574 * [backup-simplify]: Simplify (sqrt 1) into 1 1.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (+ 0 0) into 0 1.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.576 * [taylor]: Taking taylor expansion of x in x 1.576 * [backup-simplify]: Simplify 0 into 0 1.576 * [backup-simplify]: Simplify 1 into 1 1.576 * [backup-simplify]: Simplify (* 1 1) into 1 1.576 * [backup-simplify]: Simplify (/ 1 1) into 1 1.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.576 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.576 * [taylor]: Taking taylor expansion of y in x 1.576 * [backup-simplify]: Simplify y into y 1.576 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.576 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.577 * [backup-simplify]: Simplify (+ 1 0) into 1 1.577 * [backup-simplify]: Simplify (sqrt 1) into 1 1.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.578 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.578 * [taylor]: Taking taylor expansion of x in x 1.579 * [backup-simplify]: Simplify 0 into 0 1.579 * [backup-simplify]: Simplify 1 into 1 1.579 * [backup-simplify]: Simplify (* 1 1) into 1 1.579 * [backup-simplify]: Simplify (/ 1 1) into 1 1.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.579 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.579 * [taylor]: Taking taylor expansion of y in x 1.579 * [backup-simplify]: Simplify y into y 1.579 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.579 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.579 * [backup-simplify]: Simplify (+ 1 0) into 1 1.580 * [backup-simplify]: Simplify (sqrt 1) into 1 1.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.581 * [backup-simplify]: Simplify (+ 0 0) into 0 1.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.581 * [taylor]: Taking taylor expansion of 1 in y 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [taylor]: Taking taylor expansion of 0 in y 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.582 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.583 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.583 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.583 * [taylor]: Taking taylor expansion of 1/2 in y 1.583 * [backup-simplify]: Simplify 1/2 into 1/2 1.583 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.583 * [taylor]: Taking taylor expansion of y in y 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.583 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.585 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify 0 into 0 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.587 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.587 * [taylor]: Taking taylor expansion of 0 in y 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify 0 into 0 1.588 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.588 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.588 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.588 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.588 * [taylor]: Taking taylor expansion of x in y 1.588 * [backup-simplify]: Simplify x into x 1.588 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.589 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.589 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.589 * [taylor]: Taking taylor expansion of y in y 1.589 * [backup-simplify]: Simplify 0 into 0 1.589 * [backup-simplify]: Simplify 1 into 1 1.589 * [backup-simplify]: Simplify (* 1 1) into 1 1.589 * [backup-simplify]: Simplify (/ 1 1) into 1 1.589 * [backup-simplify]: Simplify (+ 0 1) into 1 1.590 * [backup-simplify]: Simplify (sqrt 1) into 1 1.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.591 * [backup-simplify]: Simplify (+ 0 0) into 0 1.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.594 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.594 * [taylor]: Taking taylor expansion of x in x 1.594 * [backup-simplify]: Simplify 0 into 0 1.594 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.595 * [backup-simplify]: Simplify (/ 1 1) into 1 1.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.595 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.595 * [taylor]: Taking taylor expansion of y in x 1.595 * [backup-simplify]: Simplify y into y 1.595 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.595 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.595 * [backup-simplify]: Simplify (+ 1 0) into 1 1.595 * [backup-simplify]: Simplify (sqrt 1) into 1 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ 0 0) into 0 1.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.597 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.597 * [taylor]: Taking taylor expansion of x in x 1.597 * [backup-simplify]: Simplify 0 into 0 1.597 * [backup-simplify]: Simplify 1 into 1 1.597 * [backup-simplify]: Simplify (* 1 1) into 1 1.597 * [backup-simplify]: Simplify (/ 1 1) into 1 1.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.597 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.598 * [taylor]: Taking taylor expansion of y in x 1.598 * [backup-simplify]: Simplify y into y 1.598 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.598 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.598 * [backup-simplify]: Simplify (+ 1 0) into 1 1.598 * [backup-simplify]: Simplify (sqrt 1) into 1 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.599 * [backup-simplify]: Simplify (+ 0 0) into 0 1.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.600 * [taylor]: Taking taylor expansion of 1 in y 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [taylor]: Taking taylor expansion of 0 in y 1.600 * [backup-simplify]: Simplify 0 into 0 1.600 * [backup-simplify]: Simplify 1 into 1 1.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.601 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.602 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.602 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.602 * [taylor]: Taking taylor expansion of 1/2 in y 1.602 * [backup-simplify]: Simplify 1/2 into 1/2 1.602 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.602 * [taylor]: Taking taylor expansion of y in y 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 1 into 1 1.602 * [backup-simplify]: Simplify (* 1 1) into 1 1.602 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.603 * [backup-simplify]: Simplify 0 into 0 1.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.604 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.605 * [backup-simplify]: Simplify (+ 0 0) into 0 1.605 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.605 * [taylor]: Taking taylor expansion of 0 in y 1.605 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.606 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2 1) 1.607 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.607 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.607 * [taylor]: Taking taylor expansion of x in y 1.607 * [backup-simplify]: Simplify x into x 1.607 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.607 * [taylor]: Taking taylor expansion of y in y 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.607 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.607 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.607 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.607 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.607 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.607 * [taylor]: Taking taylor expansion of x in x 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.608 * [taylor]: Taking taylor expansion of y in x 1.608 * [backup-simplify]: Simplify y into y 1.608 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.608 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.608 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.608 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.608 * [backup-simplify]: Simplify (+ 0 0) into 0 1.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.608 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.608 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.608 * [taylor]: Taking taylor expansion of x in x 1.608 * [backup-simplify]: Simplify 0 into 0 1.608 * [backup-simplify]: Simplify 1 into 1 1.608 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.608 * [taylor]: Taking taylor expansion of y in x 1.608 * [backup-simplify]: Simplify y into y 1.608 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.608 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.609 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.609 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.609 * [backup-simplify]: Simplify (+ 0 0) into 0 1.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.609 * [taylor]: Taking taylor expansion of y in y 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [taylor]: Taking taylor expansion of 0 in y 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (* 1 1) into 1 1.610 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.610 * [backup-simplify]: Simplify (+ 1 0) into 1 1.610 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.610 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.610 * [taylor]: Taking taylor expansion of 1/2 in y 1.610 * [backup-simplify]: Simplify 1/2 into 1/2 1.610 * [taylor]: Taking taylor expansion of y in y 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 1 into 1 1.611 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.612 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.612 * [backup-simplify]: Simplify (+ 0 0) into 0 1.612 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.612 * [taylor]: Taking taylor expansion of 0 in y 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify 0 into 0 1.613 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.613 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.613 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.613 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.613 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.613 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.613 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.613 * [taylor]: Taking taylor expansion of x in y 1.613 * [backup-simplify]: Simplify x into x 1.614 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.614 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.614 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.614 * [taylor]: Taking taylor expansion of y in y 1.614 * [backup-simplify]: Simplify 0 into 0 1.614 * [backup-simplify]: Simplify 1 into 1 1.614 * [backup-simplify]: Simplify (* 1 1) into 1 1.614 * [backup-simplify]: Simplify (/ 1 1) into 1 1.614 * [backup-simplify]: Simplify (+ 0 1) into 1 1.615 * [backup-simplify]: Simplify (sqrt 1) into 1 1.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.616 * [backup-simplify]: Simplify (+ 0 0) into 0 1.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.616 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.616 * [taylor]: Taking taylor expansion of x in x 1.616 * [backup-simplify]: Simplify 0 into 0 1.616 * [backup-simplify]: Simplify 1 into 1 1.616 * [backup-simplify]: Simplify (* 1 1) into 1 1.617 * [backup-simplify]: Simplify (/ 1 1) into 1 1.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.617 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.617 * [taylor]: Taking taylor expansion of y in x 1.617 * [backup-simplify]: Simplify y into y 1.617 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.617 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.617 * [backup-simplify]: Simplify (+ 1 0) into 1 1.617 * [backup-simplify]: Simplify (sqrt 1) into 1 1.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.618 * [backup-simplify]: Simplify (+ 0 0) into 0 1.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.619 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.619 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.619 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.619 * [taylor]: Taking taylor expansion of x in x 1.619 * [backup-simplify]: Simplify 0 into 0 1.619 * [backup-simplify]: Simplify 1 into 1 1.619 * [backup-simplify]: Simplify (* 1 1) into 1 1.619 * [backup-simplify]: Simplify (/ 1 1) into 1 1.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.619 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.619 * [taylor]: Taking taylor expansion of y in x 1.619 * [backup-simplify]: Simplify y into y 1.619 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.620 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.620 * [backup-simplify]: Simplify (+ 1 0) into 1 1.620 * [backup-simplify]: Simplify (sqrt 1) into 1 1.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (+ 0 0) into 0 1.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.622 * [taylor]: Taking taylor expansion of 1 in y 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [taylor]: Taking taylor expansion of 0 in y 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.623 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.624 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.624 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.624 * [taylor]: Taking taylor expansion of 1/2 in y 1.624 * [backup-simplify]: Simplify 1/2 into 1/2 1.624 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.624 * [taylor]: Taking taylor expansion of y in y 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 1 into 1 1.624 * [backup-simplify]: Simplify (* 1 1) into 1 1.624 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.625 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.626 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.627 * [backup-simplify]: Simplify (+ 0 0) into 0 1.627 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.627 * [taylor]: Taking taylor expansion of 0 in y 1.627 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.628 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify 0 into 0 1.628 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.628 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.629 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.629 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.629 * [taylor]: Taking taylor expansion of x in y 1.629 * [backup-simplify]: Simplify x into x 1.629 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.629 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.629 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.629 * [taylor]: Taking taylor expansion of y in y 1.629 * [backup-simplify]: Simplify 0 into 0 1.629 * [backup-simplify]: Simplify 1 into 1 1.629 * [backup-simplify]: Simplify (* 1 1) into 1 1.629 * [backup-simplify]: Simplify (/ 1 1) into 1 1.630 * [backup-simplify]: Simplify (+ 0 1) into 1 1.630 * [backup-simplify]: Simplify (sqrt 1) into 1 1.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.631 * [backup-simplify]: Simplify (+ 0 0) into 0 1.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.631 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.631 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.631 * [taylor]: Taking taylor expansion of x in x 1.631 * [backup-simplify]: Simplify 0 into 0 1.631 * [backup-simplify]: Simplify 1 into 1 1.632 * [backup-simplify]: Simplify (* 1 1) into 1 1.632 * [backup-simplify]: Simplify (/ 1 1) into 1 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.632 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.632 * [taylor]: Taking taylor expansion of y in x 1.632 * [backup-simplify]: Simplify y into y 1.632 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.632 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.632 * [backup-simplify]: Simplify (+ 1 0) into 1 1.633 * [backup-simplify]: Simplify (sqrt 1) into 1 1.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.634 * [backup-simplify]: Simplify (+ 0 0) into 0 1.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.634 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.634 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.634 * [taylor]: Taking taylor expansion of x in x 1.634 * [backup-simplify]: Simplify 0 into 0 1.634 * [backup-simplify]: Simplify 1 into 1 1.634 * [backup-simplify]: Simplify (* 1 1) into 1 1.635 * [backup-simplify]: Simplify (/ 1 1) into 1 1.635 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.635 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.635 * [taylor]: Taking taylor expansion of y in x 1.635 * [backup-simplify]: Simplify y into y 1.635 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.635 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.635 * [backup-simplify]: Simplify (+ 1 0) into 1 1.635 * [backup-simplify]: Simplify (sqrt 1) into 1 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (+ 0 0) into 0 1.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.637 * [taylor]: Taking taylor expansion of 1 in y 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [taylor]: Taking taylor expansion of 0 in y 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.639 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.639 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.639 * [taylor]: Taking taylor expansion of 1/2 in y 1.639 * [backup-simplify]: Simplify 1/2 into 1/2 1.639 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.639 * [taylor]: Taking taylor expansion of y in y 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 1 into 1 1.639 * [backup-simplify]: Simplify (* 1 1) into 1 1.640 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.640 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.642 * [backup-simplify]: Simplify (+ 0 0) into 0 1.642 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.642 * [taylor]: Taking taylor expansion of 0 in y 1.642 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.644 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 2 2 1) 1.644 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.644 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.644 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.644 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.644 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.644 * [taylor]: Taking taylor expansion of x in y 1.644 * [backup-simplify]: Simplify x into x 1.644 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.644 * [taylor]: Taking taylor expansion of y in y 1.644 * [backup-simplify]: Simplify 0 into 0 1.644 * [backup-simplify]: Simplify 1 into 1 1.644 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.644 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.644 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.644 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.645 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.645 * [taylor]: Taking taylor expansion of x in x 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.645 * [taylor]: Taking taylor expansion of y in x 1.645 * [backup-simplify]: Simplify y into y 1.645 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.645 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.645 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.645 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.645 * [backup-simplify]: Simplify (+ 0 0) into 0 1.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.645 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.645 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.646 * [taylor]: Taking taylor expansion of x in x 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.646 * [taylor]: Taking taylor expansion of y in x 1.646 * [backup-simplify]: Simplify y into y 1.646 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.646 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.646 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.646 * [taylor]: Taking taylor expansion of y in y 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [taylor]: Taking taylor expansion of 0 in y 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 0 into 0 1.646 * [backup-simplify]: Simplify 1 into 1 1.647 * [backup-simplify]: Simplify (* 1 1) into 1 1.647 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.647 * [backup-simplify]: Simplify (+ 1 0) into 1 1.648 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.648 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.648 * [taylor]: Taking taylor expansion of 1/2 in y 1.648 * [backup-simplify]: Simplify 1/2 into 1/2 1.648 * [taylor]: Taking taylor expansion of y in y 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.648 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.648 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.649 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.650 * [backup-simplify]: Simplify (+ 0 0) into 0 1.650 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.650 * [taylor]: Taking taylor expansion of 0 in y 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify 0 into 0 1.650 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.651 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.651 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.651 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.651 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.651 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.651 * [taylor]: Taking taylor expansion of x in y 1.651 * [backup-simplify]: Simplify x into x 1.651 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.651 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.651 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.651 * [taylor]: Taking taylor expansion of y in y 1.651 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify 1 into 1 1.651 * [backup-simplify]: Simplify (* 1 1) into 1 1.651 * [backup-simplify]: Simplify (/ 1 1) into 1 1.652 * [backup-simplify]: Simplify (+ 0 1) into 1 1.652 * [backup-simplify]: Simplify (sqrt 1) into 1 1.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.653 * [backup-simplify]: Simplify (+ 0 0) into 0 1.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.653 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.653 * [taylor]: Taking taylor expansion of x in x 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.654 * [backup-simplify]: Simplify (* 1 1) into 1 1.654 * [backup-simplify]: Simplify (/ 1 1) into 1 1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.654 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.654 * [taylor]: Taking taylor expansion of y in x 1.654 * [backup-simplify]: Simplify y into y 1.654 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.654 * [backup-simplify]: Simplify (+ 1 0) into 1 1.655 * [backup-simplify]: Simplify (sqrt 1) into 1 1.655 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.656 * [backup-simplify]: Simplify (+ 0 0) into 0 1.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.656 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.656 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.656 * [taylor]: Taking taylor expansion of x in x 1.656 * [backup-simplify]: Simplify 0 into 0 1.656 * [backup-simplify]: Simplify 1 into 1 1.656 * [backup-simplify]: Simplify (* 1 1) into 1 1.657 * [backup-simplify]: Simplify (/ 1 1) into 1 1.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.657 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.657 * [taylor]: Taking taylor expansion of y in x 1.657 * [backup-simplify]: Simplify y into y 1.657 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.657 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.657 * [backup-simplify]: Simplify (+ 1 0) into 1 1.657 * [backup-simplify]: Simplify (sqrt 1) into 1 1.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.658 * [backup-simplify]: Simplify (+ 0 0) into 0 1.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.659 * [taylor]: Taking taylor expansion of 1 in y 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [taylor]: Taking taylor expansion of 0 in y 1.659 * [backup-simplify]: Simplify 0 into 0 1.659 * [backup-simplify]: Simplify 1 into 1 1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.660 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.661 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.661 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.661 * [taylor]: Taking taylor expansion of 1/2 in y 1.661 * [backup-simplify]: Simplify 1/2 into 1/2 1.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.661 * [taylor]: Taking taylor expansion of y in y 1.661 * [backup-simplify]: Simplify 0 into 0 1.661 * [backup-simplify]: Simplify 1 into 1 1.661 * [backup-simplify]: Simplify (* 1 1) into 1 1.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.662 * [backup-simplify]: Simplify 0 into 0 1.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.664 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.664 * [backup-simplify]: Simplify (+ 0 0) into 0 1.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.664 * [taylor]: Taking taylor expansion of 0 in y 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.666 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.666 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.666 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.666 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.666 * [taylor]: Taking taylor expansion of x in y 1.666 * [backup-simplify]: Simplify x into x 1.666 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.666 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.666 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.666 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.666 * [taylor]: Taking taylor expansion of y in y 1.666 * [backup-simplify]: Simplify 0 into 0 1.666 * [backup-simplify]: Simplify 1 into 1 1.666 * [backup-simplify]: Simplify (* 1 1) into 1 1.667 * [backup-simplify]: Simplify (/ 1 1) into 1 1.667 * [backup-simplify]: Simplify (+ 0 1) into 1 1.667 * [backup-simplify]: Simplify (sqrt 1) into 1 1.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.668 * [backup-simplify]: Simplify (+ 0 0) into 0 1.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.669 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.669 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.669 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.669 * [taylor]: Taking taylor expansion of x in x 1.669 * [backup-simplify]: Simplify 0 into 0 1.669 * [backup-simplify]: Simplify 1 into 1 1.669 * [backup-simplify]: Simplify (* 1 1) into 1 1.669 * [backup-simplify]: Simplify (/ 1 1) into 1 1.669 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.669 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.669 * [taylor]: Taking taylor expansion of y in x 1.669 * [backup-simplify]: Simplify y into y 1.669 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.669 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.670 * [backup-simplify]: Simplify (+ 1 0) into 1 1.670 * [backup-simplify]: Simplify (sqrt 1) into 1 1.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.671 * [backup-simplify]: Simplify (+ 0 0) into 0 1.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.671 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.671 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.671 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.671 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.671 * [taylor]: Taking taylor expansion of x in x 1.671 * [backup-simplify]: Simplify 0 into 0 1.671 * [backup-simplify]: Simplify 1 into 1 1.672 * [backup-simplify]: Simplify (* 1 1) into 1 1.672 * [backup-simplify]: Simplify (/ 1 1) into 1 1.672 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.672 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.672 * [taylor]: Taking taylor expansion of y in x 1.672 * [backup-simplify]: Simplify y into y 1.672 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.672 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.672 * [backup-simplify]: Simplify (+ 1 0) into 1 1.673 * [backup-simplify]: Simplify (sqrt 1) into 1 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.674 * [taylor]: Taking taylor expansion of 1 in y 1.674 * [backup-simplify]: Simplify 1 into 1 1.674 * [taylor]: Taking taylor expansion of 0 in y 1.674 * [backup-simplify]: Simplify 0 into 0 1.674 * [backup-simplify]: Simplify 1 into 1 1.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.675 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.676 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.676 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.676 * [taylor]: Taking taylor expansion of 1/2 in y 1.676 * [backup-simplify]: Simplify 1/2 into 1/2 1.676 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.676 * [taylor]: Taking taylor expansion of y in y 1.676 * [backup-simplify]: Simplify 0 into 0 1.676 * [backup-simplify]: Simplify 1 into 1 1.676 * [backup-simplify]: Simplify (* 1 1) into 1 1.677 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify 0 into 0 1.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.679 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.679 * [backup-simplify]: Simplify (+ 0 0) into 0 1.680 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.680 * [taylor]: Taking taylor expansion of 0 in y 1.680 * [backup-simplify]: Simplify 0 into 0 1.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.681 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 1 1) 1.681 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2))) 1.681 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0 1.681 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y 1.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.681 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.681 * [taylor]: Taking taylor expansion of x in y 1.681 * [backup-simplify]: Simplify x into x 1.681 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.681 * [taylor]: Taking taylor expansion of y in y 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.681 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.681 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x 1.681 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 1.682 * [backup-simplify]: Simplify (+ 0 0) into 0 1.682 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0 1.682 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.682 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.682 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.682 * [taylor]: Taking taylor expansion of x in x 1.682 * [backup-simplify]: Simplify 0 into 0 1.682 * [backup-simplify]: Simplify 1 into 1 1.682 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.682 * [taylor]: Taking taylor expansion of y in x 1.682 * [backup-simplify]: Simplify y into y 1.682 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.682 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.682 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.682 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.685 * [backup-simplify]: Simplify (+ 0 0) into 0 1.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x 1.685 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.685 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.685 * [taylor]: Taking taylor expansion of x in x 1.685 * [backup-simplify]: Simplify 0 into 0 1.685 * [backup-simplify]: Simplify 1 into 1 1.685 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.685 * [taylor]: Taking taylor expansion of y in x 1.685 * [backup-simplify]: Simplify y into y 1.685 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.685 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.685 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y 1.685 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0 1.686 * [taylor]: Taking taylor expansion of y in y 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [taylor]: Taking taylor expansion of 0 in y 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* 1 1) into 1 1.687 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.687 * [backup-simplify]: Simplify (+ 1 0) into 1 1.687 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y) 1.687 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y 1.687 * [taylor]: Taking taylor expansion of 1/2 in y 1.687 * [backup-simplify]: Simplify 1/2 into 1/2 1.687 * [taylor]: Taking taylor expansion of y in y 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.689 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.689 * [backup-simplify]: Simplify (+ 0 0) into 0 1.689 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0 1.689 * [taylor]: Taking taylor expansion of 0 in y 1.689 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify (* 1 (* y 1)) into y 1.690 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.690 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.690 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.690 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.690 * [taylor]: Taking taylor expansion of x in y 1.690 * [backup-simplify]: Simplify x into x 1.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.691 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.691 * [taylor]: Taking taylor expansion of y in y 1.691 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify 1 into 1 1.691 * [backup-simplify]: Simplify (* 1 1) into 1 1.691 * [backup-simplify]: Simplify (/ 1 1) into 1 1.691 * [backup-simplify]: Simplify (+ 0 1) into 1 1.692 * [backup-simplify]: Simplify (sqrt 1) into 1 1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.693 * [backup-simplify]: Simplify (+ 0 0) into 0 1.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.693 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.693 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.693 * [taylor]: Taking taylor expansion of x in x 1.693 * [backup-simplify]: Simplify 0 into 0 1.693 * [backup-simplify]: Simplify 1 into 1 1.693 * [backup-simplify]: Simplify (* 1 1) into 1 1.694 * [backup-simplify]: Simplify (/ 1 1) into 1 1.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.694 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.694 * [taylor]: Taking taylor expansion of y in x 1.694 * [backup-simplify]: Simplify y into y 1.694 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.694 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.694 * [backup-simplify]: Simplify (+ 1 0) into 1 1.694 * [backup-simplify]: Simplify (sqrt 1) into 1 1.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.696 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.696 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.696 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.696 * [taylor]: Taking taylor expansion of x in x 1.696 * [backup-simplify]: Simplify 0 into 0 1.696 * [backup-simplify]: Simplify 1 into 1 1.696 * [backup-simplify]: Simplify (* 1 1) into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.696 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.696 * [taylor]: Taking taylor expansion of y in x 1.696 * [backup-simplify]: Simplify y into y 1.697 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.697 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.697 * [backup-simplify]: Simplify (+ 1 0) into 1 1.697 * [backup-simplify]: Simplify (sqrt 1) into 1 1.697 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.698 * [backup-simplify]: Simplify (+ 0 0) into 0 1.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.699 * [taylor]: Taking taylor expansion of 1 in y 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [taylor]: Taking taylor expansion of 0 in y 1.699 * [backup-simplify]: Simplify 0 into 0 1.699 * [backup-simplify]: Simplify 1 into 1 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.701 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.701 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.701 * [taylor]: Taking taylor expansion of 1/2 in y 1.701 * [backup-simplify]: Simplify 1/2 into 1/2 1.701 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.701 * [taylor]: Taking taylor expansion of y in y 1.701 * [backup-simplify]: Simplify 0 into 0 1.701 * [backup-simplify]: Simplify 1 into 1 1.701 * [backup-simplify]: Simplify (* 1 1) into 1 1.701 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.702 * [backup-simplify]: Simplify 0 into 0 1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.703 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.704 * [backup-simplify]: Simplify (+ 0 0) into 0 1.704 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.704 * [taylor]: Taking taylor expansion of 0 in y 1.704 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x 1.705 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.706 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.706 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.706 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.706 * [taylor]: Taking taylor expansion of x in y 1.706 * [backup-simplify]: Simplify x into x 1.706 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.706 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.706 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.706 * [taylor]: Taking taylor expansion of y in y 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 1 into 1 1.706 * [backup-simplify]: Simplify (* 1 1) into 1 1.706 * [backup-simplify]: Simplify (/ 1 1) into 1 1.707 * [backup-simplify]: Simplify (+ 0 1) into 1 1.707 * [backup-simplify]: Simplify (sqrt 1) into 1 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.708 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.708 * [taylor]: Taking taylor expansion of x in x 1.708 * [backup-simplify]: Simplify 0 into 0 1.708 * [backup-simplify]: Simplify 1 into 1 1.709 * [backup-simplify]: Simplify (* 1 1) into 1 1.709 * [backup-simplify]: Simplify (/ 1 1) into 1 1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.709 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.709 * [taylor]: Taking taylor expansion of y in x 1.709 * [backup-simplify]: Simplify y into y 1.709 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.709 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.709 * [backup-simplify]: Simplify (+ 1 0) into 1 1.710 * [backup-simplify]: Simplify (sqrt 1) into 1 1.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.711 * [backup-simplify]: Simplify (+ 0 0) into 0 1.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.711 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.711 * [taylor]: Taking taylor expansion of x in x 1.711 * [backup-simplify]: Simplify 0 into 0 1.711 * [backup-simplify]: Simplify 1 into 1 1.711 * [backup-simplify]: Simplify (* 1 1) into 1 1.712 * [backup-simplify]: Simplify (/ 1 1) into 1 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.712 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.712 * [taylor]: Taking taylor expansion of y in x 1.712 * [backup-simplify]: Simplify y into y 1.712 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.712 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.712 * [backup-simplify]: Simplify (+ 1 0) into 1 1.712 * [backup-simplify]: Simplify (sqrt 1) into 1 1.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.713 * [backup-simplify]: Simplify (+ 0 0) into 0 1.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.714 * [taylor]: Taking taylor expansion of 1 in y 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [taylor]: Taking taylor expansion of 0 in y 1.714 * [backup-simplify]: Simplify 0 into 0 1.714 * [backup-simplify]: Simplify 1 into 1 1.714 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.715 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.716 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2)) 1.716 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y 1.716 * [taylor]: Taking taylor expansion of 1/2 in y 1.716 * [backup-simplify]: Simplify 1/2 into 1/2 1.716 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.716 * [taylor]: Taking taylor expansion of y in y 1.716 * [backup-simplify]: Simplify 0 into 0 1.716 * [backup-simplify]: Simplify 1 into 1 1.716 * [backup-simplify]: Simplify (* 1 1) into 1 1.716 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 0 into 0 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.718 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.719 * [backup-simplify]: Simplify (+ 0 0) into 0 1.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0 1.719 * [taylor]: Taking taylor expansion of 0 in y 1.719 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify 0 into 0 1.720 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x) 1.721 * * * [progress]: simplifying candidates 1.721 * [simplify]: Simplifying: (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (log (sqrt (+ (* x x) (* y y)))) (exp (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))) (cbrt (sqrt (+ (* x x) (* y y)))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (sqrt (cbrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt 1) (sqrt (+ (* x x) (* y y))) (sqrt (+ (pow (* x x) 3) (pow (* y y) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))) (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (sqrt (- (* x x) (* y y))) (/ 1 2) (sqrt (sqrt (+ (* x x) (* y y)))) (sqrt (sqrt (+ (* x x) (* y y)))) y x (* -1 x) y x (* -1 x) y x (* -1 x) y x (* -1 x) 1.722 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) 1.848 * * * [progress]: adding candidates to table 2.112 * * [progress]: iteration 4 / 4 2.112 * * * [progress]: picking best candidate 2.114 * * * * [pick]: Picked # 2.114 * * * [progress]: localizing error 2.114 * * * [progress]: generating rewritten candidates 2.114 * * * [progress]: generating series expansions 2.114 * * * [progress]: simplifying candidates 2.115 * [simplify]: Simplifying: 2.115 * [simplify]: Sending expressions to egg_math: 2.116 * * * [progress]: adding candidates to table 2.116 * [progress]: [Phase 3 of 3] Extracting. 2.117 * * [regime]: Finding splitpoints for: (# # # #) 2.118 * * * [regime-changes]: Trying 2 branch expressions: (y x) 2.118 * * * * [regimes]: Trying to branch on y from (# # # #) 2.150 * * * * [regimes]: Trying to branch on x from (# # # #) 2.173 * * * [regime]: Found split indices: #