12.816 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.036 * * * [progress]: [2/2] Setting up program. 0.038 * [progress]: [Phase 2 of 3] Improving. 0.038 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.038 * [simplify]: Sending expressions to egg_math: (/ (* (- h1 h0) (+ h1 h0)) (+ (* h1 h1) (* h0 h0))) 0.083 * * [progress]: iteration 1 / 4 0.083 * * * [progress]: picking best candidate 0.086 * * * * [pick]: Picked # 0.086 * * * [progress]: localizing error 0.105 * * * [progress]: generating rewritten candidates 0.105 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.137 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2) 0.146 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1) 0.211 * * * [progress]: generating series expansions 0.211 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.212 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.212 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.212 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.212 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.212 * [taylor]: Taking taylor expansion of (+ x y) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [backup-simplify]: Simplify x into x 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of (- x y) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [backup-simplify]: Simplify x into x 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.212 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.212 * [taylor]: Taking taylor expansion of x in y 0.212 * [backup-simplify]: Simplify x into x 0.212 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.212 * [taylor]: Taking taylor expansion of y in y 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (+ x 0) into x 0.213 * [backup-simplify]: Simplify (- 0) into 0 0.213 * [backup-simplify]: Simplify (+ x 0) into x 0.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.213 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.213 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.214 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.214 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.214 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.214 * [taylor]: Taking taylor expansion of (+ x y) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [taylor]: Taking taylor expansion of (- x y) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.214 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.214 * [taylor]: Taking taylor expansion of x in x 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.214 * [taylor]: Taking taylor expansion of y in x 0.214 * [backup-simplify]: Simplify y into y 0.214 * [backup-simplify]: Simplify (+ 0 y) into y 0.214 * [backup-simplify]: Simplify (- y) into (- y) 0.214 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.214 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.214 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.215 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.215 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.215 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.215 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.215 * [taylor]: Taking taylor expansion of (+ x y) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [taylor]: Taking taylor expansion of (- x y) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.215 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.215 * [taylor]: Taking taylor expansion of x in x 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.215 * [taylor]: Taking taylor expansion of y in x 0.215 * [backup-simplify]: Simplify y into y 0.215 * [backup-simplify]: Simplify (+ 0 y) into y 0.215 * [backup-simplify]: Simplify (- y) into (- y) 0.215 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.215 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.215 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.215 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.215 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.216 * [taylor]: Taking taylor expansion of -1 in y 0.216 * [backup-simplify]: Simplify -1 into -1 0.216 * [backup-simplify]: Simplify -1 into -1 0.216 * [backup-simplify]: Simplify (- 0) into 0 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.216 * [backup-simplify]: Simplify (+ 1 0) into 1 0.217 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.217 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.219 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.219 * [backup-simplify]: Simplify (+ 1 0) into 1 0.219 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.219 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.219 * [taylor]: Taking taylor expansion of 2 in y 0.219 * [backup-simplify]: Simplify 2 into 2 0.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.219 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.219 * [taylor]: Taking taylor expansion of y in y 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.222 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.225 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [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 0.226 * [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 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.227 * [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 0.227 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.227 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.227 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 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) in y 0.227 * [taylor]: Taking taylor expansion of y in y 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (/ 1 1) into 1 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 0.227 * [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 (pow x 2)) (/ 1 (pow y 2))) in y 0.227 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.227 * [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 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (- 1) into -1 0.229 * [backup-simplify]: Simplify (+ 0 -1) 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 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.231 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.231 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 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 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 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 (+ 1 0) 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 0.233 * [backup-simplify]: Simplify (/ 1 1) into 1 0.233 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.233 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.233 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.233 * [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) 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 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 0.236 * [backup-simplify]: Simplify y into y 0.236 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.236 * [backup-simplify]: Simplify (+ 1 0) into 1 0.236 * [backup-simplify]: Simplify (+ 0 1) into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (+ 1 0) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of 1 in y 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.239 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.239 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.239 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.241 * [backup-simplify]: Simplify (+ 0 0) into 0 0.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.242 * [taylor]: Taking taylor expansion of 0 in y 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.245 * [backup-simplify]: Simplify (- 0) into 0 0.245 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.249 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.249 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.249 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.249 * [taylor]: Taking taylor expansion of 2 in y 0.249 * [backup-simplify]: Simplify 2 into 2 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.249 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.249 * [taylor]: Taking taylor expansion of y in y 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.254 * [backup-simplify]: Simplify (- 0) into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.255 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.257 * [backup-simplify]: Simplify (+ 0 0) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.260 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) 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 1 into 1 0.262 * [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))))) 0.262 * [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 0.263 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 0.263 * [taylor]: Taking taylor expansion of -1 in y 0.263 * [backup-simplify]: Simplify -1 into -1 0.263 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.263 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.263 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.263 * [taylor]: Taking taylor expansion of y in y 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.263 * [taylor]: Taking taylor expansion of x in y 0.263 * [backup-simplify]: Simplify x into x 0.263 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.264 * [taylor]: Taking taylor expansion of x in y 0.264 * [backup-simplify]: Simplify x into x 0.264 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.264 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.264 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.264 * [taylor]: Taking taylor expansion of y in y 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (+ 0 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.266 * [taylor]: Taking taylor expansion of -1 in x 0.266 * [backup-simplify]: Simplify -1 into -1 0.266 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.266 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.266 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 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 0.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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) (/ 1 x)) in x 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 0.266 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 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 (pow x 2)) (/ 1 (pow y 2))) in x 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow x 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.267 * [taylor]: Taking taylor expansion of (pow y 2) 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 (* y y) into (pow y 2) 0.267 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.268 * [backup-simplify]: Simplify (+ 0 1) into 1 0.268 * [backup-simplify]: Simplify (- 1) into -1 0.268 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.268 * [backup-simplify]: Simplify (* 1 -1) into -1 0.269 * [backup-simplify]: Simplify (+ 1 0) into 1 0.269 * [backup-simplify]: Simplify (/ -1 1) into -1 0.269 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 0.269 * [taylor]: Taking taylor expansion of -1 in x 0.269 * [backup-simplify]: Simplify -1 into -1 0.269 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 0.269 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.269 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [backup-simplify]: Simplify y into y 0.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.269 * [taylor]: Taking taylor expansion of y in x 0.269 * [backup-simplify]: Simplify y into y 0.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.269 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.270 * [taylor]: Taking taylor expansion of x in x 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (* 1 1) into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.270 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.270 * [taylor]: Taking taylor expansion of y in x 0.270 * [backup-simplify]: Simplify y into y 0.270 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.271 * [backup-simplify]: Simplify (+ 0 1) into 1 0.271 * [backup-simplify]: Simplify (- 1) into -1 0.271 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.272 * [backup-simplify]: Simplify (* 1 -1) into -1 0.275 * [backup-simplify]: Simplify (+ 1 0) into 1 0.275 * [backup-simplify]: Simplify (/ -1 1) into -1 0.276 * [backup-simplify]: Simplify (* -1 -1) into 1 0.276 * [taylor]: Taking taylor expansion of 1 in y 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.276 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.277 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ 0 0) into 0 0.279 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.279 * [taylor]: Taking taylor expansion of 0 in y 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 0 into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- 0) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.284 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.284 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 0.284 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.284 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.284 * [taylor]: Taking taylor expansion of 2 in y 0.284 * [backup-simplify]: Simplify 2 into 2 0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.284 * [taylor]: Taking taylor expansion of y in y 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ 1 1) into 1 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (- 0) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 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)) (* 0 (/ 0 y)))) into 0 0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ 0 0) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 0.294 * [taylor]: Taking taylor expansion of 0 in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * * * * [progress]: [ 2 / 3 ] generating series at (2 2) 0.294 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 0.294 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 0.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.294 * [taylor]: Taking taylor expansion of x in y 0.294 * [backup-simplify]: Simplify x into x 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.294 * [taylor]: Taking taylor expansion of y in y 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.294 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.294 * [taylor]: Taking taylor expansion of x in x 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 1 into 1 0.294 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.294 * [taylor]: Taking taylor expansion of y in x 0.294 * [backup-simplify]: Simplify y into y 0.294 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.295 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.295 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.295 * [taylor]: Taking taylor expansion of y in y 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify 1 into 1 0.295 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) 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 0 into 0 0.295 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.296 * [backup-simplify]: Simplify (+ 1 0) into 1 0.296 * [taylor]: Taking taylor expansion of 1 in y 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify 1 into 1 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (* 1 1) into 1 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.297 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.297 * [backup-simplify]: Simplify (+ 0 0) into 0 0.297 * [taylor]: Taking taylor expansion of 0 in y 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.297 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 0.299 * [backup-simplify]: Simplify (+ 0 0) into 0 0.299 * [taylor]: Taking taylor expansion of 0 in y 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 0.300 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.300 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.300 * [taylor]: Taking taylor expansion of x in y 0.300 * [backup-simplify]: Simplify x into x 0.300 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.300 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.300 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.300 * [taylor]: Taking taylor expansion of y in y 0.300 * [backup-simplify]: Simplify 0 into 0 0.300 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.301 * [backup-simplify]: Simplify (/ 1 1) into 1 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.301 * [taylor]: Taking taylor expansion of y in x 0.301 * [backup-simplify]: Simplify y into y 0.301 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.301 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.301 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.301 * [taylor]: Taking taylor expansion of x in x 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ 1 1) into 1 0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 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 (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.302 * [taylor]: Taking taylor expansion of 1 in y 0.303 * [backup-simplify]: Simplify 1 into 1 0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ 0 0) into 0 0.304 * [taylor]: Taking taylor expansion of 0 in y 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.305 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.305 * [taylor]: Taking taylor expansion of y in y 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.305 * [backup-simplify]: Simplify (/ 1 1) into 1 0.305 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) 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 (+ (* 1 0) (* 0 1)) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify 0 into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 0.310 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [taylor]: Taking taylor expansion of 0 in y 0.310 * [backup-simplify]: Simplify 0 into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify 0 into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.312 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0.312 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.312 * [taylor]: Taking taylor expansion of x in y 0.312 * [backup-simplify]: Simplify x into x 0.312 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.312 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 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 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.312 * [taylor]: Taking taylor expansion of x in x 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.313 * [backup-simplify]: Simplify (* 1 1) into 1 0.313 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.313 * [taylor]: Taking taylor expansion of y in x 0.313 * [backup-simplify]: Simplify y into y 0.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.313 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.313 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.313 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.313 * [taylor]: Taking taylor expansion of x in x 0.313 * [backup-simplify]: Simplify 0 into 0 0.313 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (* 1 1) into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.314 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.314 * [taylor]: Taking taylor expansion of y in x 0.314 * [backup-simplify]: Simplify y into y 0.314 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.314 * [backup-simplify]: Simplify (+ 1 0) into 1 0.314 * [taylor]: Taking taylor expansion of 1 in y 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [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 0) into 0 0.315 * [taylor]: Taking taylor expansion of 0 in y 0.315 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.317 * [taylor]: Taking taylor expansion of y in y 0.317 * [backup-simplify]: Simplify 0 into 0 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (/ 1 1) into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify 1 into 1 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.319 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.319 * [backup-simplify]: Simplify (+ 0 0) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in y 0.319 * [backup-simplify]: Simplify 0 into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) 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 0.322 * [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 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 0.323 * * * * [progress]: [ 3 / 3 ] generating series at (2 1) 0.323 * [backup-simplify]: Simplify (* (- x y) (+ x y)) into (* (+ x y) (- x y)) 0.323 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 0.323 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.323 * [taylor]: Taking taylor expansion of (+ x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.323 * [backup-simplify]: Simplify x into x 0.323 * [taylor]: Taking taylor expansion of y in y 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 1 into 1 0.323 * [taylor]: Taking taylor expansion of (- x y) in y 0.323 * [taylor]: Taking taylor expansion of x in y 0.324 * [backup-simplify]: Simplify x into x 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.324 * [taylor]: Taking taylor expansion of (+ x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [taylor]: Taking taylor expansion of (- x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.324 * [taylor]: Taking taylor expansion of (+ x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [taylor]: Taking taylor expansion of (- x y) in x 0.324 * [taylor]: Taking taylor expansion of x in x 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [taylor]: Taking taylor expansion of y in x 0.324 * [backup-simplify]: Simplify y into y 0.324 * [backup-simplify]: Simplify (+ 0 y) into y 0.324 * [backup-simplify]: Simplify (- y) into (- y) 0.324 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.324 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.324 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 0.324 * [taylor]: Taking taylor expansion of -1 in y 0.324 * [backup-simplify]: Simplify -1 into -1 0.324 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.324 * [taylor]: Taking taylor expansion of y in y 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 1 into 1 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (+ 1 0) into 1 0.325 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.325 * [taylor]: Taking taylor expansion of 0 in y 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.326 * [taylor]: Taking taylor expansion of 1 in y 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify 1 into 1 0.326 * [backup-simplify]: Simplify 0 into 0 0.326 * [backup-simplify]: Simplify (* 1 1) into 1 0.327 * [backup-simplify]: Simplify (* -1 1) into -1 0.327 * [backup-simplify]: Simplify -1 into -1 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.328 * [taylor]: Taking taylor expansion of 0 in y 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify (- 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.330 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 0.331 * [taylor]: Taking taylor expansion of 0 in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 0.331 * [backup-simplify]: Simplify (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 0.331 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 0.331 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.331 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.331 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.331 * [taylor]: Taking taylor expansion of x in y 0.331 * [backup-simplify]: Simplify x into x 0.331 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.331 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.331 * [taylor]: Taking taylor expansion of y in y 0.331 * [backup-simplify]: Simplify 0 into 0 0.331 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.332 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.332 * [taylor]: Taking taylor expansion of y in y 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.332 * [backup-simplify]: Simplify (/ 1 1) into 1 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.332 * [taylor]: Taking taylor expansion of x in y 0.332 * [backup-simplify]: Simplify x into x 0.332 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.332 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.332 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.332 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.332 * [taylor]: Taking taylor expansion of x in x 0.332 * [backup-simplify]: Simplify 0 into 0 0.332 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [backup-simplify]: Simplify y into y 0.333 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.333 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.333 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.333 * [taylor]: Taking taylor expansion of y in x 0.333 * [backup-simplify]: Simplify y into y 0.333 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.333 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.333 * [taylor]: Taking taylor expansion of x in x 0.333 * [backup-simplify]: Simplify 0 into 0 0.333 * [backup-simplify]: Simplify 1 into 1 0.333 * [backup-simplify]: Simplify (/ 1 1) into 1 0.333 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.334 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.334 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.334 * [taylor]: Taking taylor expansion of y in x 0.334 * [backup-simplify]: Simplify y into y 0.334 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.334 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.334 * [taylor]: Taking taylor expansion of x in x 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 1 0) into 1 0.336 * [backup-simplify]: Simplify (+ 0 1) into 1 0.336 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [taylor]: Taking taylor expansion of 1 in y 0.336 * [backup-simplify]: Simplify 1 into 1 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.338 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.338 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.338 * [taylor]: Taking taylor expansion of 0 in y 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.342 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.342 * [taylor]: Taking taylor expansion of y in y 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.343 * [backup-simplify]: Simplify (/ 1 1) into 1 0.343 * [backup-simplify]: Simplify (- 1) into -1 0.343 * [backup-simplify]: Simplify -1 into -1 0.343 * [backup-simplify]: Simplify 1 into 1 0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.346 * [backup-simplify]: Simplify (- 0) into 0 0.346 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.347 * [taylor]: Taking taylor expansion of 0 in y 0.347 * [backup-simplify]: Simplify 0 into 0 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (- 0) into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ 0 0) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.352 * [backup-simplify]: Simplify (- 0) into 0 0.352 * [backup-simplify]: Simplify (+ 0 0) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 0.353 * [taylor]: Taking taylor expansion of 0 in y 0.353 * [backup-simplify]: Simplify 0 into 0 0.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (- 0) into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 0.356 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 0.356 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 0.356 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.356 * [taylor]: Taking taylor expansion of -1 in y 0.356 * [backup-simplify]: Simplify -1 into -1 0.356 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.356 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.356 * [taylor]: Taking taylor expansion of y in y 0.356 * [backup-simplify]: Simplify 0 into 0 0.356 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.357 * [backup-simplify]: Simplify x into x 0.357 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.357 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.357 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.357 * [taylor]: Taking taylor expansion of y in y 0.357 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify 1 into 1 0.357 * [backup-simplify]: Simplify (/ 1 1) into 1 0.357 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.357 * [taylor]: Taking taylor expansion of x in y 0.358 * [backup-simplify]: Simplify x into x 0.358 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.358 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.358 * [taylor]: Taking taylor expansion of -1 in x 0.358 * [backup-simplify]: Simplify -1 into -1 0.358 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [backup-simplify]: Simplify y into y 0.358 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.358 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.358 * [taylor]: Taking taylor expansion of x in x 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (/ 1 1) into 1 0.358 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.358 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.358 * [taylor]: Taking taylor expansion of y in x 0.358 * [backup-simplify]: Simplify y into y 0.358 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.359 * [backup-simplify]: Simplify (/ 1 1) into 1 0.359 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.359 * [taylor]: Taking taylor expansion of -1 in x 0.359 * [backup-simplify]: Simplify -1 into -1 0.359 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.359 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.359 * [taylor]: Taking taylor expansion of y in x 0.359 * [backup-simplify]: Simplify y into y 0.359 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.359 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.359 * [taylor]: Taking taylor expansion of x in x 0.359 * [backup-simplify]: Simplify 0 into 0 0.359 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.360 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.360 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.360 * [taylor]: Taking taylor expansion of y in x 0.360 * [backup-simplify]: Simplify y into y 0.360 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.360 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.360 * [taylor]: Taking taylor expansion of x in x 0.360 * [backup-simplify]: Simplify 0 into 0 0.360 * [backup-simplify]: Simplify 1 into 1 0.360 * [backup-simplify]: Simplify (/ 1 1) into 1 0.361 * [backup-simplify]: Simplify (+ 0 1) into 1 0.361 * [backup-simplify]: Simplify (- 1) into -1 0.362 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.362 * [backup-simplify]: Simplify (* 1 -1) into -1 0.362 * [backup-simplify]: Simplify (* -1 -1) into 1 0.362 * [taylor]: Taking taylor expansion of 1 in y 0.362 * [backup-simplify]: Simplify 1 into 1 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- 0) into 0 0.363 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.364 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.364 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.365 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.365 * [taylor]: Taking taylor expansion of 0 in y 0.365 * [backup-simplify]: Simplify 0 into 0 0.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- 0) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.368 * [backup-simplify]: Simplify (+ 0 0) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.369 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 0.370 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.370 * [taylor]: Taking taylor expansion of y in y 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.370 * [backup-simplify]: Simplify (/ 1 1) into 1 0.371 * [backup-simplify]: Simplify (- 1) into -1 0.371 * [backup-simplify]: Simplify -1 into -1 0.371 * [backup-simplify]: Simplify 1 into 1 0.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.372 * [backup-simplify]: Simplify (- 0) into 0 0.372 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (+ 0 0) into 0 0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 0.376 * [taylor]: Taking taylor expansion of 0 in y 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.377 * [backup-simplify]: Simplify (- 0) into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.377 * [backup-simplify]: Simplify 0 into 0 0.378 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.381 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 0.386 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 0.386 * [taylor]: Taking taylor expansion of 0 in y 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.387 * [backup-simplify]: Simplify (- 0) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 0.388 * * * [progress]: simplifying candidates 0.390 * [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)) (* (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)) (* (- 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)) -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)) 0.390 * [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)) (* (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)) (* (- h1 h0) (+ h1 h0)) (+ (log (- h1 h0)) (log (+ h1 h0))) (log (* (- h1 h0) (+ h1 h0))) (exp (* (- h1 h0) (+ h1 h0))) (* (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (- h1 h0) (+ h1 h0))) (cbrt (* (- h1 h0) (+ h1 h0)))) (cbrt (* (- h1 h0) (+ h1 h0))) (* (* (* (- h1 h0) (+ h1 h0)) (* (- h1 h0) (+ h1 h0))) (* (- h1 h0) (+ h1 h0))) (sqrt (* (- h1 h0) (+ h1 h0))) (sqrt (* (- h1 h0) (+ h1 h0))) (* (- (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))) (* (+ h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (+ h1 h0) (- h1 h0)) (* (sqrt (- h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (- h1 h0)) (sqrt (+ h1 h0))) (* (- h1 h0) h1) (* (- h1 h0) h0) (* h1 (- h1 h0)) (* h0 (- h1 h0)) (* (- h1 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)) -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)) 0.461 * * * [progress]: adding candidates to table 0.681 * * [progress]: iteration 2 / 4 0.681 * * * [progress]: picking best candidate 0.687 * * * * [pick]: Picked # 0.687 * * * [progress]: localizing error 0.706 * * * [progress]: generating rewritten candidates 0.706 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.776 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.843 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1) 0.860 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2) 0.917 * * * [progress]: generating series expansions 0.917 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.917 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) into (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) 0.917 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0 0.917 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y 0.917 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.917 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.917 * [taylor]: Taking taylor expansion of x in y 0.918 * [backup-simplify]: Simplify x into x 0.918 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.918 * [taylor]: Taking taylor expansion of (+ x y) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [backup-simplify]: Simplify x into x 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [taylor]: Taking taylor expansion of (- x y) in y 0.918 * [taylor]: Taking taylor expansion of x in y 0.918 * [backup-simplify]: Simplify x into x 0.918 * [taylor]: Taking taylor expansion of y in y 0.918 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.918 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.918 * [backup-simplify]: Simplify (+ x 0) into x 0.919 * [backup-simplify]: Simplify (- 0) into 0 0.919 * [backup-simplify]: Simplify (+ x 0) into x 0.919 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.919 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.919 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 0.919 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.919 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [backup-simplify]: Simplify y into y 0.919 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.919 * [taylor]: Taking taylor expansion of (+ x y) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [backup-simplify]: Simplify y into y 0.919 * [taylor]: Taking taylor expansion of (- x y) in x 0.919 * [taylor]: Taking taylor expansion of x in x 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 1 into 1 0.919 * [taylor]: Taking taylor expansion of y in x 0.919 * [backup-simplify]: Simplify y into y 0.919 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.919 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.919 * [backup-simplify]: Simplify (+ 0 y) into y 0.919 * [backup-simplify]: Simplify (- y) into (- y) 0.919 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.919 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.920 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 0.920 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x 0.920 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.920 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [backup-simplify]: Simplify y into y 0.920 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.920 * [taylor]: Taking taylor expansion of (+ x y) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [backup-simplify]: Simplify y into y 0.920 * [taylor]: Taking taylor expansion of (- x y) in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [taylor]: Taking taylor expansion of y in x 0.920 * [backup-simplify]: Simplify y into y 0.920 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.920 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.920 * [backup-simplify]: Simplify (+ 0 y) into y 0.920 * [backup-simplify]: Simplify (- y) into (- y) 0.920 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.920 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.920 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1 0.920 * [taylor]: Taking taylor expansion of -1 in y 0.920 * [backup-simplify]: Simplify -1 into -1 0.920 * [backup-simplify]: Simplify -1 into -1 0.920 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.921 * [backup-simplify]: Simplify (+ 0 0) into 0 0.921 * [backup-simplify]: Simplify (- 0) into 0 0.921 * [backup-simplify]: Simplify (+ 1 0) into 1 0.922 * [backup-simplify]: Simplify (+ 1 0) into 1 0.922 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))))) into 0 0.922 * [taylor]: Taking taylor expansion of 0 in y 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify (* 1 1) into 1 0.922 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.923 * [backup-simplify]: Simplify (+ 1 0) into 1 0.923 * [backup-simplify]: Simplify (- 0) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.924 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* -1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into (- (* 2 (/ 1 (pow y 2)))) 0.924 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 0.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.924 * [taylor]: Taking taylor expansion of 2 in y 0.924 * [backup-simplify]: Simplify 2 into 2 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.924 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.924 * [taylor]: Taking taylor expansion of y in y 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.924 * [backup-simplify]: Simplify (* 1 1) into 1 0.925 * [backup-simplify]: Simplify (/ 1 1) into 1 0.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.927 * [backup-simplify]: Simplify (- 0) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.928 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.928 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.930 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.930 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 (* -1 (pow y 2)))))) into 0 0.930 * [taylor]: Taking taylor expansion of 0 in y 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify -1 into -1 0.930 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) 0.931 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0 0.931 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y 0.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.931 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [backup-simplify]: Simplify x into x 0.931 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.931 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.931 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.931 * [taylor]: Taking taylor expansion of y in y 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (/ 1 1) into 1 0.931 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.931 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.931 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.931 * [taylor]: Taking taylor expansion of x in y 0.931 * [backup-simplify]: Simplify x into x 0.931 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.932 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.932 * [taylor]: Taking taylor expansion of y in y 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.932 * [backup-simplify]: Simplify (/ 1 1) into 1 0.932 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.932 * [taylor]: Taking taylor expansion of x in y 0.932 * [backup-simplify]: Simplify x into x 0.932 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.933 * [backup-simplify]: Simplify (+ 0 1) into 1 0.933 * [backup-simplify]: Simplify (- 1) into -1 0.933 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.933 * [backup-simplify]: Simplify (+ 1 0) into 1 0.934 * [backup-simplify]: Simplify (* -1 1) into -1 0.934 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.934 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.934 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.934 * [taylor]: Taking taylor expansion of x in x 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.934 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.935 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [backup-simplify]: Simplify y into y 0.935 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.935 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.935 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.935 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (/ 1 1) into 1 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [backup-simplify]: Simplify y into y 0.935 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.935 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.935 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.935 * [taylor]: Taking taylor expansion of y in x 0.935 * [backup-simplify]: Simplify y into y 0.935 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.935 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.935 * [taylor]: Taking taylor expansion of x in x 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.936 * [backup-simplify]: Simplify (/ 1 1) into 1 0.936 * [backup-simplify]: Simplify (+ 1 0) into 1 0.936 * [backup-simplify]: Simplify (+ 1 0) into 1 0.936 * [backup-simplify]: Simplify (+ 0 1) into 1 0.937 * [backup-simplify]: Simplify (* 1 1) into 1 0.937 * [backup-simplify]: Simplify (/ 1 1) into 1 0.937 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x 0.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.937 * [taylor]: Taking taylor expansion of x in x 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 0.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.937 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.937 * [taylor]: Taking taylor expansion of y in x 0.938 * [backup-simplify]: Simplify y into y 0.938 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.938 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.938 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 0.938 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.938 * [backup-simplify]: Simplify (/ 1 1) into 1 0.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [backup-simplify]: Simplify y into y 0.938 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.938 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.938 * [taylor]: Taking taylor expansion of y in x 0.938 * [backup-simplify]: Simplify y into y 0.938 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.938 * [taylor]: Taking taylor expansion of x in x 0.938 * [backup-simplify]: Simplify 0 into 0 0.938 * [backup-simplify]: Simplify 1 into 1 0.939 * [backup-simplify]: Simplify (/ 1 1) into 1 0.939 * [backup-simplify]: Simplify (+ 1 0) into 1 0.939 * [backup-simplify]: Simplify (+ 1 0) into 1 0.939 * [backup-simplify]: Simplify (+ 0 1) into 1 0.940 * [backup-simplify]: Simplify (* 1 1) into 1 0.940 * [backup-simplify]: Simplify (/ 1 1) into 1 0.940 * [taylor]: Taking taylor expansion of 1 in y 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify 1 into 1 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 0) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 0.942 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 0.942 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 0.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 0.943 * [taylor]: Taking taylor expansion of 0 in y 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.943 * [backup-simplify]: Simplify 0 into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (+ 0 0) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.948 * [backup-simplify]: Simplify (- 0) into 0 0.949 * [backup-simplify]: Simplify (+ 0 0) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 0.950 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 0.950 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.950 * [taylor]: Taking taylor expansion of 2 in y 0.950 * [backup-simplify]: Simplify 2 into 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 0.950 * [backup-simplify]: Simplify (/ 1 1) into 1 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.953 * [backup-simplify]: Simplify 0 into 0 0.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.956 * [backup-simplify]: Simplify (- 0) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 0.958 * [taylor]: Taking taylor expansion of 0 in y 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 0 into 0 0.958 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) 0.959 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0 0.959 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y 0.959 * [taylor]: Taking taylor expansion of -1 in y 0.959 * [backup-simplify]: Simplify -1 into -1 0.959 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 0.959 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.959 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.959 * [taylor]: Taking taylor expansion of x in y 0.959 * [backup-simplify]: Simplify x into x 0.959 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.959 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.959 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.959 * [taylor]: Taking taylor expansion of y in y 0.959 * [backup-simplify]: Simplify 0 into 0 0.959 * [backup-simplify]: Simplify 1 into 1 0.959 * [backup-simplify]: Simplify (* 1 1) into 1 0.959 * [backup-simplify]: Simplify (/ 1 1) into 1 0.959 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 0.960 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (/ 1 1) into 1 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.960 * [taylor]: Taking taylor expansion of x in y 0.960 * [backup-simplify]: Simplify x into x 0.960 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.960 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 0.960 * [taylor]: Taking taylor expansion of (/ 1 y) in y 0.960 * [taylor]: Taking taylor expansion of y in y 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 1 into 1 0.960 * [backup-simplify]: Simplify (/ 1 1) into 1 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.960 * [taylor]: Taking taylor expansion of x in y 0.960 * [backup-simplify]: Simplify x into x 0.960 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.961 * [backup-simplify]: Simplify (+ 0 1) into 1 0.961 * [backup-simplify]: Simplify (+ 1 0) into 1 0.961 * [backup-simplify]: Simplify (+ 1 0) into 1 0.961 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify (/ 1 1) into 1 0.962 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.962 * [taylor]: Taking taylor expansion of -1 in x 0.962 * [backup-simplify]: Simplify -1 into -1 0.962 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.962 * [backup-simplify]: Simplify 0 into 0 0.962 * [backup-simplify]: Simplify 1 into 1 0.962 * [backup-simplify]: Simplify (* 1 1) into 1 0.962 * [backup-simplify]: Simplify (/ 1 1) into 1 0.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.962 * [taylor]: Taking taylor expansion of y in x 0.962 * [backup-simplify]: Simplify y into y 0.962 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.962 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.962 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.962 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.962 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.963 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (/ 1 1) into 1 0.963 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.963 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.963 * [taylor]: Taking taylor expansion of y in x 0.963 * [backup-simplify]: Simplify y into y 0.963 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.963 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.963 * [taylor]: Taking taylor expansion of x in x 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [backup-simplify]: Simplify (+ 1 0) into 1 0.964 * [backup-simplify]: Simplify (+ 0 1) into 1 0.964 * [backup-simplify]: Simplify (- 1) into -1 0.964 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.965 * [backup-simplify]: Simplify (* 1 -1) into -1 0.965 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.965 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x 0.965 * [taylor]: Taking taylor expansion of -1 in x 0.965 * [backup-simplify]: Simplify -1 into -1 0.965 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.965 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.965 * [taylor]: Taking taylor expansion of x in x 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 1) into 1 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 0.965 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [backup-simplify]: Simplify y into y 0.966 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.966 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 0.966 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 0.966 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [backup-simplify]: Simplify y into y 0.966 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 0.966 * [taylor]: Taking taylor expansion of (/ 1 y) in x 0.966 * [taylor]: Taking taylor expansion of y in x 0.966 * [backup-simplify]: Simplify y into y 0.966 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 0.966 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.966 * [taylor]: Taking taylor expansion of x in x 0.966 * [backup-simplify]: Simplify 0 into 0 0.966 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.967 * [backup-simplify]: Simplify (+ 1 0) into 1 0.967 * [backup-simplify]: Simplify (+ 0 1) into 1 0.967 * [backup-simplify]: Simplify (- 1) into -1 0.967 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.968 * [backup-simplify]: Simplify (* 1 -1) into -1 0.968 * [backup-simplify]: Simplify (/ 1 -1) into -1 0.968 * [backup-simplify]: Simplify (* -1 -1) into 1 0.968 * [taylor]: Taking taylor expansion of 1 in y 0.968 * [backup-simplify]: Simplify 1 into 1 0.968 * [backup-simplify]: Simplify 1 into 1 0.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.969 * [backup-simplify]: Simplify (+ 0 0) into 0 0.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (- 0) into 0 0.970 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.971 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 0.971 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 0.971 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0 0.971 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.971 * [taylor]: Taking taylor expansion of 0 in y 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 0.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (- 0) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.975 * [backup-simplify]: Simplify (+ 0 0) into 0 0.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 0.976 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 2 (/ 1 (pow y 2)))) 0.976 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1))) into (* 2 (/ 1 (pow y 2))) 0.976 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.976 * [taylor]: Taking taylor expansion of 2 in y 0.976 * [backup-simplify]: Simplify 2 into 2 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.976 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.976 * [taylor]: Taking taylor expansion of y in y 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (* 1 1) into 1 0.977 * [backup-simplify]: Simplify (/ 1 1) into 1 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.979 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.979 * [backup-simplify]: Simplify 0 into 0 0.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 0.981 * [backup-simplify]: Simplify (+ 0 0) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.982 * [backup-simplify]: Simplify (- 0) into 0 0.982 * [backup-simplify]: Simplify (+ 0 0) into 0 0.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 0.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 0.984 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 -1)))) into 0 0.985 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1)))) into 0 0.985 * [taylor]: Taking taylor expansion of 0 in y 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify 1 into 1 0.985 * * * * [progress]: [ 2 / 4 ] generating series at (2) 0.985 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) 0.986 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0 0.986 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y 0.986 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 0.986 * [taylor]: Taking taylor expansion of (+ x y) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [backup-simplify]: Simplify x into x 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of (- x y) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [backup-simplify]: Simplify x into x 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 0.986 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.986 * [taylor]: Taking taylor expansion of x in y 0.986 * [backup-simplify]: Simplify x into x 0.986 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.986 * [taylor]: Taking taylor expansion of y in y 0.986 * [backup-simplify]: Simplify 0 into 0 0.986 * [backup-simplify]: Simplify 1 into 1 0.986 * [backup-simplify]: Simplify (+ x 0) into x 0.986 * [backup-simplify]: Simplify (- 0) into 0 0.986 * [backup-simplify]: Simplify (+ x 0) into x 0.986 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.986 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.986 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 0.986 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 0.986 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.987 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.987 * [taylor]: Taking taylor expansion of (+ x y) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.987 * [taylor]: Taking taylor expansion of (- x y) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.987 * [backup-simplify]: Simplify (+ 0 y) into y 0.987 * [backup-simplify]: Simplify (- y) into (- y) 0.987 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.987 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.987 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.987 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.987 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.987 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x 0.987 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 0.987 * [taylor]: Taking taylor expansion of (+ x y) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.987 * [taylor]: Taking taylor expansion of (- x y) in x 0.987 * [taylor]: Taking taylor expansion of x in x 0.987 * [backup-simplify]: Simplify 0 into 0 0.987 * [backup-simplify]: Simplify 1 into 1 0.987 * [taylor]: Taking taylor expansion of y in x 0.987 * [backup-simplify]: Simplify y into y 0.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 0.987 * [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 0.988 * [taylor]: Taking taylor expansion of (pow y 2) in x 0.988 * [taylor]: Taking taylor expansion of y in x 0.988 * [backup-simplify]: Simplify y into y 0.988 * [backup-simplify]: Simplify (+ 0 y) into y 0.988 * [backup-simplify]: Simplify (- y) into (- y) 0.988 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 0.988 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 0.988 * [backup-simplify]: Simplify (* y y) into (pow y 2) 0.988 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 0.988 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1 0.988 * [taylor]: Taking taylor expansion of -1 in y 0.988 * [backup-simplify]: Simplify -1 into -1 0.988 * [backup-simplify]: Simplify -1 into -1 0.989 * [backup-simplify]: Simplify (- 0) into 0 0.989 * [backup-simplify]: Simplify (+ 1 0) into 1 0.989 * [backup-simplify]: Simplify (+ 1 0) into 1 0.989 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 0.989 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 0.989 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 0.990 * [taylor]: Taking taylor expansion of 0 in y 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify 0 into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 0.991 * [backup-simplify]: Simplify (* 1 1) into 1 0.991 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 0.991 * [backup-simplify]: Simplify (+ 1 0) into 1 0.992 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 0.992 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 0.992 * [taylor]: Taking taylor expansion of 2 in y 0.992 * [backup-simplify]: Simplify 2 into 2 0.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.992 * [taylor]: Taking taylor expansion of y in y 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.995 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify 0 into 0 0.995 * [backup-simplify]: Simplify (- 0) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 0.995 * [backup-simplify]: Simplify (+ 0 0) into 0 0.996 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 0.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.997 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 0.997 * [backup-simplify]: Simplify (+ 0 0) into 0 0.997 * [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 0.998 * [taylor]: Taking taylor expansion of 0 in y 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify 0 into 0 0.998 * [backup-simplify]: Simplify -1 into -1 0.998 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0.998 * [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 0.998 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 0.998 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 0.998 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 0.998 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.998 * [taylor]: Taking taylor expansion of x in y 0.998 * [backup-simplify]: Simplify x into x 0.998 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 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 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in 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 0.999 * [backup-simplify]: Simplify (/ 1 1) into 1 0.999 * [taylor]: Taking taylor expansion of (/ 1 x) in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [backup-simplify]: Simplify x into x 0.999 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 0.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 0.999 * [taylor]: Taking taylor expansion of (pow x 2) in y 0.999 * [taylor]: Taking taylor expansion of x in y 0.999 * [backup-simplify]: Simplify x into x 0.999 * [backup-simplify]: Simplify (* x x) into (pow x 2) 0.999 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 0.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 0.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 0.999 * [taylor]: Taking taylor expansion of y in y 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 0.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ 1 1) into 1 1.000 * [backup-simplify]: Simplify (- 1) into -1 1.000 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.000 * [backup-simplify]: Simplify (+ 1 0) into 1 1.001 * [backup-simplify]: Simplify (* -1 1) into -1 1.001 * [backup-simplify]: Simplify (+ 0 1) into 1 1.001 * [backup-simplify]: Simplify (/ -1 1) into -1 1.001 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.001 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.001 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.001 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.001 * [taylor]: Taking taylor expansion of x in x 1.001 * [backup-simplify]: Simplify 0 into 0 1.001 * [backup-simplify]: Simplify 1 into 1 1.001 * [backup-simplify]: Simplify (/ 1 1) into 1 1.001 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.001 * [taylor]: Taking taylor expansion of y in x 1.001 * [backup-simplify]: Simplify y into y 1.002 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.002 * [taylor]: Taking taylor expansion of y in x 1.002 * [backup-simplify]: Simplify y into y 1.002 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.002 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.002 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.002 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.002 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.002 * [taylor]: Taking taylor expansion of x in x 1.002 * [backup-simplify]: Simplify 0 into 0 1.002 * [backup-simplify]: Simplify 1 into 1 1.002 * [backup-simplify]: Simplify (* 1 1) into 1 1.002 * [backup-simplify]: Simplify (/ 1 1) into 1 1.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.003 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.003 * [taylor]: Taking taylor expansion of y in x 1.003 * [backup-simplify]: Simplify y into y 1.003 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.003 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.003 * [backup-simplify]: Simplify (+ 1 0) into 1 1.003 * [backup-simplify]: Simplify (+ 0 1) into 1 1.003 * [backup-simplify]: Simplify (* 1 1) into 1 1.004 * [backup-simplify]: Simplify (+ 1 0) into 1 1.004 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.004 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.004 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.004 * [taylor]: Taking taylor expansion of x in x 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (/ 1 1) into 1 1.004 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.004 * [backup-simplify]: Simplify y into y 1.004 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.004 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.004 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.004 * [taylor]: Taking taylor expansion of y in x 1.004 * [backup-simplify]: Simplify y into y 1.005 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.005 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.005 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.005 * [taylor]: Taking taylor expansion of x in x 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.005 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (/ 1 1) into 1 1.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.005 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.005 * [taylor]: Taking taylor expansion of y in x 1.005 * [backup-simplify]: Simplify y into y 1.005 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.006 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.006 * [backup-simplify]: Simplify (+ 1 0) into 1 1.006 * [backup-simplify]: Simplify (+ 0 1) into 1 1.006 * [backup-simplify]: Simplify (* 1 1) into 1 1.007 * [backup-simplify]: Simplify (+ 1 0) into 1 1.007 * [backup-simplify]: Simplify (/ 1 1) into 1 1.007 * [taylor]: Taking taylor expansion of 1 in y 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify 1 into 1 1.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.008 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.008 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.008 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 1.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ 0 0) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.010 * [taylor]: Taking taylor expansion of 0 in y 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify 0 into 0 1.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (+ 0 0) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.011 * [backup-simplify]: Simplify (- 0) into 0 1.011 * [backup-simplify]: Simplify (+ 0 0) into 0 1.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 1.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.013 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.014 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.014 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.014 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.014 * [taylor]: Taking taylor expansion of 2 in y 1.014 * [backup-simplify]: Simplify 2 into 2 1.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.014 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.014 * [taylor]: Taking taylor expansion of y in y 1.014 * [backup-simplify]: Simplify 0 into 0 1.014 * [backup-simplify]: Simplify 1 into 1 1.014 * [backup-simplify]: Simplify (* 1 1) into 1 1.014 * [backup-simplify]: Simplify (/ 1 1) into 1 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.017 * [backup-simplify]: Simplify (- 0) into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.019 * [backup-simplify]: Simplify (- 0) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.021 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.021 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.022 * [taylor]: Taking taylor expansion of 0 in y 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) 1.023 * [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 1.023 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y 1.023 * [taylor]: Taking taylor expansion of -1 in y 1.023 * [backup-simplify]: Simplify -1 into -1 1.023 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.023 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.023 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.023 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [backup-simplify]: Simplify (/ 1 1) into 1 1.023 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.023 * [taylor]: Taking taylor expansion of x in y 1.023 * [backup-simplify]: Simplify x into x 1.023 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.023 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.023 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.023 * [taylor]: Taking taylor expansion of y in y 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify (/ 1 1) into 1 1.024 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.024 * [taylor]: Taking taylor expansion of x in y 1.024 * [backup-simplify]: Simplify x into x 1.024 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.024 * [taylor]: Taking taylor expansion of x in y 1.024 * [backup-simplify]: Simplify x into x 1.024 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.024 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.024 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.024 * [taylor]: Taking taylor expansion of y in y 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.025 * [backup-simplify]: Simplify (* 1 1) into 1 1.025 * [backup-simplify]: Simplify (/ 1 1) into 1 1.025 * [backup-simplify]: Simplify (+ 1 0) into 1 1.026 * [backup-simplify]: Simplify (+ 1 0) into 1 1.026 * [backup-simplify]: Simplify (* 1 1) into 1 1.027 * [backup-simplify]: Simplify (+ 0 1) into 1 1.027 * [backup-simplify]: Simplify (/ 1 1) into 1 1.027 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.027 * [taylor]: Taking taylor expansion of -1 in x 1.027 * [backup-simplify]: Simplify -1 into -1 1.027 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.027 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.027 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.027 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.027 * [taylor]: Taking taylor expansion of y in x 1.027 * [backup-simplify]: Simplify y into y 1.027 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.027 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.027 * [taylor]: Taking taylor expansion of x in x 1.027 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.028 * [taylor]: Taking taylor expansion of y in x 1.028 * [backup-simplify]: Simplify y into y 1.028 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.028 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.028 * [backup-simplify]: Simplify (/ 1 1) into 1 1.028 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.028 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.028 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.028 * [taylor]: Taking taylor expansion of x in x 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 1 into 1 1.029 * [backup-simplify]: Simplify (* 1 1) into 1 1.029 * [backup-simplify]: Simplify (/ 1 1) into 1 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.029 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.029 * [taylor]: Taking taylor expansion of y in x 1.029 * [backup-simplify]: Simplify y into y 1.029 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.029 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.030 * [backup-simplify]: Simplify (+ 0 1) into 1 1.030 * [backup-simplify]: Simplify (- 1) into -1 1.031 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.031 * [backup-simplify]: Simplify (* 1 -1) into -1 1.031 * [backup-simplify]: Simplify (+ 1 0) into 1 1.032 * [backup-simplify]: Simplify (/ -1 1) into -1 1.032 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x 1.032 * [taylor]: Taking taylor expansion of -1 in x 1.032 * [backup-simplify]: Simplify -1 into -1 1.032 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.032 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.032 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.032 * [taylor]: Taking taylor expansion of y in x 1.032 * [backup-simplify]: Simplify y into y 1.032 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.032 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.032 * [taylor]: Taking taylor expansion of x in x 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.033 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.033 * [taylor]: Taking taylor expansion of y in x 1.033 * [backup-simplify]: Simplify y into y 1.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.033 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.033 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.033 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.033 * [taylor]: Taking taylor expansion of x in x 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.034 * [backup-simplify]: Simplify (* 1 1) into 1 1.034 * [backup-simplify]: Simplify (/ 1 1) into 1 1.034 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.034 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.034 * [taylor]: Taking taylor expansion of y in x 1.034 * [backup-simplify]: Simplify y into y 1.034 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.034 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.034 * [backup-simplify]: Simplify (+ 0 1) into 1 1.035 * [backup-simplify]: Simplify (- 1) into -1 1.035 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.035 * [backup-simplify]: Simplify (* 1 -1) into -1 1.035 * [backup-simplify]: Simplify (+ 1 0) into 1 1.036 * [backup-simplify]: Simplify (/ -1 1) into -1 1.036 * [backup-simplify]: Simplify (* -1 -1) into 1 1.036 * [taylor]: Taking taylor expansion of 1 in y 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (- 0) into 0 1.037 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.037 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.037 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 1.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ 0 0) into 0 1.041 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.042 * [taylor]: Taking taylor expansion of 0 in y 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.042 * [backup-simplify]: Simplify (- 0) into 0 1.043 * [backup-simplify]: Simplify (+ 0 0) into 0 1.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ 0 0) into 0 1.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.045 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.046 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2))) 1.046 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2)))) 1.046 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.046 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.046 * [taylor]: Taking taylor expansion of 2 in y 1.046 * [backup-simplify]: Simplify 2 into 2 1.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.046 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.046 * [taylor]: Taking taylor expansion of y in y 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify 1 into 1 1.047 * [backup-simplify]: Simplify (* 1 1) into 1 1.047 * [backup-simplify]: Simplify (/ 1 1) into 1 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.049 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.050 * [backup-simplify]: Simplify (- 0) into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify 0 into 0 1.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (- 0) into 0 1.051 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.052 * [backup-simplify]: Simplify (+ 0 0) into 0 1.052 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.054 * [backup-simplify]: Simplify (+ 0 0) into 0 1.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0 1.055 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0 1.055 * [taylor]: Taking taylor expansion of 0 in y 1.055 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1) 1.056 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 1.056 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.056 * [taylor]: Taking taylor expansion of x in y 1.056 * [backup-simplify]: Simplify x into x 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [backup-simplify]: Simplify y into y 1.056 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.056 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.056 * [taylor]: Taking taylor expansion of x in x 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.056 * [taylor]: Taking taylor expansion of y in x 1.056 * [backup-simplify]: Simplify y into y 1.056 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.056 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.056 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.056 * [taylor]: Taking taylor expansion of y in y 1.056 * [backup-simplify]: Simplify 0 into 0 1.056 * [backup-simplify]: Simplify 1 into 1 1.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.057 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [taylor]: Taking taylor expansion of 0 in y 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify (* 1 1) into 1 1.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.058 * [backup-simplify]: Simplify (+ 1 0) into 1 1.058 * [taylor]: Taking taylor expansion of 1 in y 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (* 1 1) into 1 1.058 * [backup-simplify]: Simplify 1 into 1 1.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.059 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.059 * [backup-simplify]: Simplify (+ 0 0) into 0 1.059 * [taylor]: Taking taylor expansion of 0 in y 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.059 * [backup-simplify]: Simplify 0 into 0 1.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.061 * [backup-simplify]: Simplify (+ 0 0) into 0 1.061 * [taylor]: Taking taylor expansion of 0 in y 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.061 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.061 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.061 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.061 * [taylor]: Taking taylor expansion of x in y 1.061 * [backup-simplify]: Simplify x into x 1.062 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.062 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.062 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.062 * [taylor]: Taking taylor expansion of y in y 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.062 * [backup-simplify]: Simplify (* 1 1) into 1 1.062 * [backup-simplify]: Simplify (/ 1 1) into 1 1.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.062 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.062 * [taylor]: Taking taylor expansion of x in x 1.062 * [backup-simplify]: Simplify 0 into 0 1.062 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (* 1 1) into 1 1.063 * [backup-simplify]: Simplify (/ 1 1) into 1 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.063 * [taylor]: Taking taylor expansion of y in x 1.063 * [backup-simplify]: Simplify y into y 1.063 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.063 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.063 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.063 * [taylor]: Taking taylor expansion of x in x 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 1 into 1 1.063 * [backup-simplify]: Simplify (* 1 1) into 1 1.064 * [backup-simplify]: Simplify (/ 1 1) into 1 1.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.064 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.064 * [taylor]: Taking taylor expansion of y in x 1.064 * [backup-simplify]: Simplify y into y 1.064 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.064 * [backup-simplify]: Simplify (+ 1 0) into 1 1.064 * [taylor]: Taking taylor expansion of 1 in y 1.064 * [backup-simplify]: Simplify 1 into 1 1.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [taylor]: Taking taylor expansion of 0 in y 1.065 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.067 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.067 * [taylor]: Taking taylor expansion of y in y 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify (* 1 1) into 1 1.067 * [backup-simplify]: Simplify (/ 1 1) into 1 1.067 * [backup-simplify]: Simplify 1 into 1 1.067 * [backup-simplify]: Simplify 1 into 1 1.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.068 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.069 * [backup-simplify]: Simplify (+ 0 0) into 0 1.069 * [taylor]: Taking taylor expansion of 0 in y 1.069 * [backup-simplify]: Simplify 0 into 0 1.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify 0 into 0 1.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.072 * [backup-simplify]: Simplify (+ 0 0) into 0 1.072 * [taylor]: Taking taylor expansion of 0 in y 1.072 * [backup-simplify]: Simplify 0 into 0 1.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify 0 into 0 1.073 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.073 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.073 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.073 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.073 * [taylor]: Taking taylor expansion of x in y 1.073 * [backup-simplify]: Simplify x into x 1.073 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.073 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.074 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.074 * [taylor]: Taking taylor expansion of y in y 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (* 1 1) into 1 1.074 * [backup-simplify]: Simplify (/ 1 1) into 1 1.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.074 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.074 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.074 * [taylor]: Taking taylor expansion of x in x 1.074 * [backup-simplify]: Simplify 0 into 0 1.074 * [backup-simplify]: Simplify 1 into 1 1.074 * [backup-simplify]: Simplify (* 1 1) into 1 1.075 * [backup-simplify]: Simplify (/ 1 1) into 1 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [backup-simplify]: Simplify y into y 1.075 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.075 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.075 * [taylor]: Taking taylor expansion of x in x 1.075 * [backup-simplify]: Simplify 0 into 0 1.075 * [backup-simplify]: Simplify 1 into 1 1.075 * [backup-simplify]: Simplify (* 1 1) into 1 1.075 * [backup-simplify]: Simplify (/ 1 1) into 1 1.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.075 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.075 * [taylor]: Taking taylor expansion of y in x 1.075 * [backup-simplify]: Simplify y into y 1.076 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.076 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.076 * [backup-simplify]: Simplify (+ 1 0) into 1 1.076 * [taylor]: Taking taylor expansion of 1 in y 1.076 * [backup-simplify]: Simplify 1 into 1 1.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.077 * [backup-simplify]: Simplify (+ 0 0) into 0 1.077 * [taylor]: Taking taylor expansion of 0 in y 1.077 * [backup-simplify]: Simplify 0 into 0 1.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.078 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.078 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.078 * [taylor]: Taking taylor expansion of y in y 1.078 * [backup-simplify]: Simplify 0 into 0 1.078 * [backup-simplify]: Simplify 1 into 1 1.078 * [backup-simplify]: Simplify (* 1 1) into 1 1.079 * [backup-simplify]: Simplify (/ 1 1) into 1 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.080 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [taylor]: Taking taylor expansion of 0 in y 1.080 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.083 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.083 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.083 * [backup-simplify]: Simplify (+ 0 0) into 0 1.083 * [taylor]: Taking taylor expansion of 0 in y 1.083 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 1.085 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2) 1.085 * [backup-simplify]: Simplify (* (- x y) (+ x y)) into (* (+ x y) (- x y)) 1.085 * [approximate]: Taking taylor expansion of (* (+ x y) (- x y)) in (x y) around 0 1.085 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y 1.085 * [taylor]: Taking taylor expansion of (+ x y) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [backup-simplify]: Simplify x into x 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (- x y) in y 1.085 * [taylor]: Taking taylor expansion of x in y 1.085 * [backup-simplify]: Simplify x into x 1.085 * [taylor]: Taking taylor expansion of y in y 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.085 * [taylor]: Taking taylor expansion of (+ x y) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of y in x 1.085 * [backup-simplify]: Simplify y into y 1.085 * [taylor]: Taking taylor expansion of (- x y) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of y in x 1.085 * [backup-simplify]: Simplify y into y 1.085 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x 1.085 * [taylor]: Taking taylor expansion of (+ x y) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of y in x 1.085 * [backup-simplify]: Simplify y into y 1.085 * [taylor]: Taking taylor expansion of (- x y) in x 1.085 * [taylor]: Taking taylor expansion of x in x 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 1 into 1 1.085 * [taylor]: Taking taylor expansion of y in x 1.085 * [backup-simplify]: Simplify y into y 1.085 * [backup-simplify]: Simplify (+ 0 y) into y 1.085 * [backup-simplify]: Simplify (- y) into (- y) 1.085 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.086 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.086 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.086 * [taylor]: Taking taylor expansion of -1 in y 1.086 * [backup-simplify]: Simplify -1 into -1 1.086 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.086 * [taylor]: Taking taylor expansion of y in y 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (- 0) into 0 1.086 * [backup-simplify]: Simplify (+ 1 0) into 1 1.086 * [backup-simplify]: Simplify (+ 1 0) into 1 1.086 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0 1.087 * [taylor]: Taking taylor expansion of 0 in y 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify 0 into 0 1.087 * [backup-simplify]: Simplify (- 0) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.087 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1 1.088 * [taylor]: Taking taylor expansion of 1 in y 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify 1 into 1 1.088 * [backup-simplify]: Simplify 0 into 0 1.088 * [backup-simplify]: Simplify (* 1 1) into 1 1.088 * [backup-simplify]: Simplify (* -1 1) into -1 1.088 * [backup-simplify]: Simplify -1 into -1 1.088 * [backup-simplify]: Simplify (- 0) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (+ 0 0) into 0 1.089 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0 1.089 * [taylor]: Taking taylor expansion of 0 in y 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 0 into 0 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify (- 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.092 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 1.092 * [taylor]: Taking taylor expansion of 0 in y 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 1.092 * [backup-simplify]: Simplify (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) into (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) 1.092 * [approximate]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in (x y) around 0 1.092 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y 1.092 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.092 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.092 * [taylor]: Taking taylor expansion of x in y 1.092 * [backup-simplify]: Simplify x into x 1.092 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.092 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.092 * [taylor]: Taking taylor expansion of y in y 1.092 * [backup-simplify]: Simplify 0 into 0 1.092 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.093 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.093 * [taylor]: Taking taylor expansion of y in y 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.093 * [taylor]: Taking taylor expansion of x in y 1.093 * [backup-simplify]: Simplify x into x 1.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.093 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.093 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.093 * [taylor]: Taking taylor expansion of x in x 1.093 * [backup-simplify]: Simplify 0 into 0 1.093 * [backup-simplify]: Simplify 1 into 1 1.093 * [backup-simplify]: Simplify (/ 1 1) into 1 1.093 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.093 * [taylor]: Taking taylor expansion of y in x 1.093 * [backup-simplify]: Simplify y into y 1.093 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.094 * [taylor]: Taking taylor expansion of y in x 1.094 * [backup-simplify]: Simplify y into y 1.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x 1.094 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (/ 1 1) into 1 1.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.094 * [taylor]: Taking taylor expansion of y in x 1.094 * [backup-simplify]: Simplify y into y 1.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.094 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.094 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.094 * [taylor]: Taking taylor expansion of y in x 1.094 * [backup-simplify]: Simplify y into y 1.094 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.094 * [taylor]: Taking taylor expansion of x in x 1.094 * [backup-simplify]: Simplify 0 into 0 1.095 * [backup-simplify]: Simplify 1 into 1 1.095 * [backup-simplify]: Simplify (/ 1 1) into 1 1.095 * [backup-simplify]: Simplify (+ 1 0) into 1 1.095 * [backup-simplify]: Simplify (+ 0 1) into 1 1.096 * [backup-simplify]: Simplify (* 1 1) into 1 1.096 * [taylor]: Taking taylor expansion of 1 in y 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.096 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.097 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.097 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0 1.097 * [taylor]: Taking taylor expansion of 0 in y 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (+ 0 0) into 0 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.098 * [backup-simplify]: Simplify (- 0) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2))) 1.099 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.099 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.099 * [taylor]: Taking taylor expansion of y in y 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (* 1 1) into 1 1.100 * [backup-simplify]: Simplify (/ 1 1) into 1 1.100 * [backup-simplify]: Simplify (- 1) into -1 1.100 * [backup-simplify]: Simplify -1 into -1 1.100 * [backup-simplify]: Simplify 1 into 1 1.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.101 * [backup-simplify]: Simplify (+ 0 0) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.102 * [backup-simplify]: Simplify (- 0) into 0 1.102 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0 1.103 * [taylor]: Taking taylor expansion of 0 in y 1.103 * [backup-simplify]: Simplify 0 into 0 1.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.104 * [backup-simplify]: Simplify (- 0) into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.105 * [backup-simplify]: Simplify (+ 0 0) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.106 * [backup-simplify]: Simplify (- 0) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 1))))) into 0 1.107 * [taylor]: Taking taylor expansion of 0 in y 1.107 * [backup-simplify]: Simplify 0 into 0 1.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (- 0) into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify 0 into 0 1.108 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 1.109 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) 1.109 * [approximate]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in (x y) around 0 1.109 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y 1.109 * [taylor]: Taking taylor expansion of -1 in y 1.109 * [backup-simplify]: Simplify -1 into -1 1.109 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y 1.109 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.109 * [taylor]: Taking taylor expansion of x in y 1.109 * [backup-simplify]: Simplify x into x 1.109 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.109 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.109 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.109 * [taylor]: Taking taylor expansion of y in y 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (/ 1 1) into 1 1.109 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.110 * [taylor]: Taking taylor expansion of x in y 1.110 * [backup-simplify]: Simplify x into x 1.110 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.110 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.110 * [taylor]: Taking taylor expansion of -1 in x 1.110 * [backup-simplify]: Simplify -1 into -1 1.110 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.110 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [backup-simplify]: Simplify y into y 1.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.110 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.110 * [taylor]: Taking taylor expansion of y in x 1.110 * [backup-simplify]: Simplify y into y 1.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.110 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.110 * [taylor]: Taking taylor expansion of x in x 1.110 * [backup-simplify]: Simplify 0 into 0 1.110 * [backup-simplify]: Simplify 1 into 1 1.110 * [backup-simplify]: Simplify (/ 1 1) into 1 1.110 * [taylor]: Taking taylor expansion of (* -1 (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x 1.111 * [taylor]: Taking taylor expansion of -1 in x 1.111 * [backup-simplify]: Simplify -1 into -1 1.111 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x 1.111 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.111 * [backup-simplify]: Simplify y into y 1.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (/ 1 1) into 1 1.111 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.111 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.111 * [taylor]: Taking taylor expansion of y in x 1.111 * [backup-simplify]: Simplify y into y 1.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.111 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.111 * [taylor]: Taking taylor expansion of x in x 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (/ 1 1) into 1 1.112 * [backup-simplify]: Simplify (+ 0 1) into 1 1.112 * [backup-simplify]: Simplify (- 1) into -1 1.112 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.112 * [backup-simplify]: Simplify (* 1 -1) into -1 1.113 * [backup-simplify]: Simplify (* -1 -1) into 1 1.113 * [taylor]: Taking taylor expansion of 1 in y 1.113 * [backup-simplify]: Simplify 1 into 1 1.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.113 * [backup-simplify]: Simplify (- 0) into 0 1.113 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.114 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.114 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0 1.114 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.114 * [taylor]: Taking taylor expansion of 0 in y 1.114 * [backup-simplify]: Simplify 0 into 0 1.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify (- 0) into 0 1.115 * [backup-simplify]: Simplify (+ 0 0) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.116 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2)) 1.117 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))) into (- (/ 1 (pow y 2))) 1.117 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.117 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.117 * [taylor]: Taking taylor expansion of y in y 1.117 * [backup-simplify]: Simplify 0 into 0 1.117 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (* 1 1) into 1 1.118 * [backup-simplify]: Simplify (/ 1 1) into 1 1.118 * [backup-simplify]: Simplify (- 1) into -1 1.118 * [backup-simplify]: Simplify -1 into -1 1.118 * [backup-simplify]: Simplify 1 into 1 1.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.119 * [backup-simplify]: Simplify (- 0) into 0 1.119 * [backup-simplify]: Simplify (+ 0 0) into 0 1.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0 1.121 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1)))) into 0 1.122 * [taylor]: Taking taylor expansion of 0 in y 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify (- 0) into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify (- 0) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.125 * [backup-simplify]: Simplify (+ 0 0) into 0 1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 0) (+ (* 0 (/ 1 y)) (* 0 -1))))) into 0 1.126 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 -1))))) into 0 1.126 * [taylor]: Taking taylor expansion of 0 in y 1.126 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.128 * [backup-simplify]: Simplify (- 0) into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify 0 into 0 1.128 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 1.128 * * * [progress]: simplifying candidates 1.133 * [simplify]: Simplifying: (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y)))) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y)))) (log (/ (+ (* x x) (* 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(/ (cbrt 1) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (- (* h1 h1) (* h0 h0))))) (/ (cbrt 1) (- h1 h0)) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* h1 h1) (* h0 h0)) (* (- (pow h1 3) (pow h0 3)) (+ h1 h0)))) (/ (cbrt 1) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* h1 h1) (* h0 h0)) (* (- (* h1 h1) (* h0 h0)) (+ h1 h0)))) (/ (cbrt 1) (+ h1 h0)) (/ (sqrt 1) (* (cbrt (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0)))) (cbrt (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0)))))) (/ (sqrt 1) (cbrt (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0))))) (/ (sqrt 1) (sqrt (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0))))) (/ (sqrt 1) (sqrt (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0))))) (/ (sqrt 1) (/ (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (- h1 h0))) (/ (sqrt 1) (/ (cbrt (+ (* h1 h1) (* h0 h0))) (+ h1 h0))) (/ (sqrt 1) (/ (sqrt (+ (* h1 h1) (* h0 h0))) (- h1 h0))) (/ (sqrt 1) (/ (sqrt (+ (* h1 h1) (* h0 h0))) (+ h1 h0))) (/ (sqrt 1) (/ 1 (- h1 h0))) (/ (sqrt 1) (/ (+ (* h1 h1) (* h0 h0)) (+ h1 h0))) (/ (sqrt 1) 1) (/ (sqrt 1) (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0)))) (/ (sqrt 1) (+ (* h1 h1) (* h0 h0))) (/ (sqrt 1) (/ 1 (* (- h1 h0) (+ h1 h0)))) (/ (sqrt 1) (/ (+ (* h1 h1) (* h0 h0)) (* (- (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))))) (/ (sqrt 1) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (/ (sqrt 1) (/ (+ (* h1 h1) (* h0 h0)) (* (- (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))))) (/ (sqrt 1) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (- h1 h0))) (/ (sqrt 1) (/ (+ (* h1 h1) (* h0 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))))) (/ (sqrt 1) (* (+ h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (/ (sqrt 1) (/ (+ (* h1 h1) (* h0 h0)) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))))) (/ (sqrt 1) (* (+ h1 h0) (- h1 h0))) (/ (sqrt 1) (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ (pow h1 3) (pow h0 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(* h0 h0)) (+ h1 h0))) (/ 1 1) (/ 1 (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0)))) (/ 1 (+ (* h1 h1) (* h0 h0))) (/ 1 (/ 1 (* (- h1 h0) (+ h1 h0)))) (/ 1 (/ (+ (* h1 h1) (* h0 h0)) (* (- (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))))) (/ 1 (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (/ 1 (/ (+ (* h1 h1) (* h0 h0)) (* (- (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))))) (/ 1 (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (- h1 h0))) (/ 1 (/ (+ (* h1 h1) (* h0 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))))) (/ 1 (* (+ h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0))))) (/ 1 (/ (+ (* h1 h1) (* h0 h0)) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))))) (/ 1 (* (+ h1 h0) (- h1 h0))) (/ 1 (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ (pow h1 3) (pow h0 3))))) (/ 1 (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (/ 1 (/ (+ (* h1 h1) (* h0 h0)) (* (- h1 h0) (- (* h1 h1) (* h0 h0))))) (/ 1 (- h1 h0)) (/ 1 (/ (+ (* h1 h1) (* h0 h0)) (* (- (pow h1 3) (pow 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h1)) (* (* h0 h0) (* h0 h0))) (- (* h1 h1) (* h0 h0)) (* (- h1 h0) (+ h1 h0)) (+ (log (- h1 h0)) (log (+ h1 h0))) (log (* (- h1 h0) (+ h1 h0))) (exp (* (- h1 h0) (+ h1 h0))) (* (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* (+ h1 h0) (+ h1 h0)) (+ h1 h0))) (* (cbrt (* (- h1 h0) (+ h1 h0))) (cbrt (* (- h1 h0) (+ h1 h0)))) (cbrt (* (- h1 h0) (+ h1 h0))) (* (* (* (- h1 h0) (+ h1 h0)) (* (- h1 h0) (+ h1 h0))) (* (- h1 h0) (+ h1 h0))) (sqrt (* (- h1 h0) (+ h1 h0))) (sqrt (* (- h1 h0) (+ h1 h0))) (* (- (pow h1 3) (pow h0 3)) (+ (pow h1 3) (pow h0 3))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (pow h1 3) (pow h0 3)) (- (* h1 h1) (* h0 h0))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (- h1 h0)) (* (- (* h1 h1) (* h0 h0)) (+ (pow h1 3) (pow h0 3))) (* (+ h1 h0) (+ (* h1 h1) (- (* h0 h0) (* h1 h0)))) (* (- (* h1 h1) (* h0 h0)) (- (* h1 h1) (* h0 h0))) (* (+ h1 h0) (- h1 h0)) (* (sqrt (- h1 h0)) (sqrt (+ h1 h0))) (* (sqrt (- h1 h0)) (sqrt (+ h1 h0))) (* (- h1 h0) h1) (* (- h1 h0) h0) (* h1 (- h1 h0)) (* h0 (- h1 h0)) (* (- h1 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)) -1 1 1 -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)) 1.211 * * * [progress]: adding candidates to table 1.675 * * [progress]: iteration 3 / 4 1.675 * * * [progress]: picking best candidate 1.680 * * * * [pick]: Picked # 1.680 * * * [progress]: localizing error 1.693 * * * [progress]: generating rewritten candidates 1.693 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 1.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.779 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 1.811 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 1.829 * * * [progress]: generating series expansions 1.829 * * * * [progress]: [ 1 / 4 ] generating series at (2) 1.830 * [backup-simplify]: Simplify (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))) into (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) 1.830 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 1.830 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 1.830 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.830 * [taylor]: Taking taylor expansion of x in y 1.830 * [backup-simplify]: Simplify x into x 1.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.830 * [taylor]: Taking taylor expansion of y in y 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 1 into 1 1.830 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.830 * [taylor]: Taking taylor expansion of x in y 1.830 * [backup-simplify]: Simplify x into x 1.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.830 * [taylor]: Taking taylor expansion of y in y 1.830 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.831 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.831 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.831 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 1.831 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 1.831 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 1.831 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.831 * [taylor]: Taking taylor expansion of x in x 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.831 * [taylor]: Taking taylor expansion of y in x 1.831 * [backup-simplify]: Simplify y into y 1.831 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.832 * [taylor]: Taking taylor expansion of x in x 1.832 * [backup-simplify]: Simplify 0 into 0 1.832 * [backup-simplify]: Simplify 1 into 1 1.832 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.832 * [taylor]: Taking taylor expansion of y in x 1.832 * [backup-simplify]: Simplify y into y 1.832 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.832 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.832 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.832 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.832 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.832 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 1.832 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 1.832 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.833 * [taylor]: Taking taylor expansion of x in x 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.833 * [taylor]: Taking taylor expansion of y in x 1.833 * [backup-simplify]: Simplify y into y 1.833 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.833 * [taylor]: Taking taylor expansion of x in x 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.833 * [taylor]: Taking taylor expansion of y in x 1.833 * [backup-simplify]: Simplify y into y 1.833 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.833 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.833 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.833 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.833 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.834 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 1.834 * [taylor]: Taking taylor expansion of -1 in y 1.834 * [backup-simplify]: Simplify -1 into -1 1.834 * [backup-simplify]: Simplify -1 into -1 1.834 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.835 * [backup-simplify]: Simplify (- 0) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.835 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.836 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 1.836 * [taylor]: Taking taylor expansion of 0 in y 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify (* 1 1) into 1 1.836 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.837 * [backup-simplify]: Simplify (- 0) into 0 1.837 * [backup-simplify]: Simplify (+ 1 0) into 1 1.837 * [backup-simplify]: Simplify (* 1 1) into 1 1.837 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.838 * [backup-simplify]: Simplify (+ 1 0) into 1 1.838 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 1.838 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.838 * [taylor]: Taking taylor expansion of 2 in y 1.838 * [backup-simplify]: Simplify 2 into 2 1.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.838 * [taylor]: Taking taylor expansion of y in y 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [backup-simplify]: Simplify (* 1 1) into 1 1.839 * [backup-simplify]: Simplify (/ 1 1) into 1 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.840 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.844 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.844 * [backup-simplify]: Simplify (- 0) into 0 1.844 * [backup-simplify]: Simplify (+ 0 0) into 0 1.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.845 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.846 * [backup-simplify]: Simplify (+ 0 0) into 0 1.846 * [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 1.846 * [taylor]: Taking taylor expansion of 0 in y 1.846 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify -1 into -1 1.847 * [backup-simplify]: Simplify (/ (+ (* (- (/ 1 x) (/ 1 y)) (/ 1 x)) (* (- (/ 1 x) (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.847 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.847 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.847 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.847 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.847 * [taylor]: Taking taylor expansion of x in y 1.847 * [backup-simplify]: Simplify x into x 1.848 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.848 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.848 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.848 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.848 * [taylor]: Taking taylor expansion of y in y 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.849 * [backup-simplify]: Simplify (/ 1 1) into 1 1.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.849 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.849 * [taylor]: Taking taylor expansion of x in y 1.849 * [backup-simplify]: Simplify x into x 1.849 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.849 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.849 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.849 * [taylor]: Taking taylor expansion of y in y 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [backup-simplify]: Simplify (* 1 1) into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [backup-simplify]: Simplify (- 1) into -1 1.850 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.851 * [backup-simplify]: Simplify (+ 0 1) into 1 1.851 * [backup-simplify]: Simplify (/ -1 1) into -1 1.851 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.851 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.852 * [taylor]: Taking taylor expansion of x in x 1.852 * [backup-simplify]: Simplify 0 into 0 1.852 * [backup-simplify]: Simplify 1 into 1 1.852 * [backup-simplify]: Simplify (* 1 1) into 1 1.852 * [backup-simplify]: Simplify (/ 1 1) into 1 1.852 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.852 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.852 * [taylor]: Taking taylor expansion of y in x 1.852 * [backup-simplify]: Simplify y into y 1.852 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.853 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.853 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.853 * [taylor]: Taking taylor expansion of x in x 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [backup-simplify]: Simplify (* 1 1) into 1 1.853 * [backup-simplify]: Simplify (/ 1 1) into 1 1.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.853 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.854 * [taylor]: Taking taylor expansion of y in x 1.854 * [backup-simplify]: Simplify y into y 1.854 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.854 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.854 * [backup-simplify]: Simplify (+ 1 0) into 1 1.855 * [backup-simplify]: Simplify (+ 1 0) into 1 1.855 * [backup-simplify]: Simplify (/ 1 1) into 1 1.855 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.855 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.855 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.855 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.855 * [taylor]: Taking taylor expansion of x in x 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 1 into 1 1.855 * [backup-simplify]: Simplify (* 1 1) into 1 1.856 * [backup-simplify]: Simplify (/ 1 1) into 1 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.856 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.856 * [taylor]: Taking taylor expansion of y in x 1.856 * [backup-simplify]: Simplify y into y 1.856 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.856 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.856 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.856 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.856 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.856 * [taylor]: Taking taylor expansion of x in x 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (* 1 1) into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.857 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.857 * [taylor]: Taking taylor expansion of y in x 1.857 * [backup-simplify]: Simplify y into y 1.857 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.857 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.858 * [backup-simplify]: Simplify (+ 1 0) into 1 1.858 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [taylor]: Taking taylor expansion of 1 in y 1.858 * [backup-simplify]: Simplify 1 into 1 1.858 * [backup-simplify]: Simplify 1 into 1 1.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.862 * [backup-simplify]: Simplify (+ 0 0) into 0 1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.862 * [taylor]: Taking taylor expansion of 0 in y 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.864 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.864 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.867 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.867 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.867 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.867 * [taylor]: Taking taylor expansion of 2 in y 1.867 * [backup-simplify]: Simplify 2 into 2 1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.867 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.867 * [taylor]: Taking taylor expansion of y in y 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (* 1 1) into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.872 * [backup-simplify]: Simplify (- 0) into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.875 * [backup-simplify]: Simplify (- 0) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.877 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.877 * [backup-simplify]: Simplify (+ 0 0) into 0 1.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.879 * [taylor]: Taking taylor expansion of 0 in y 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.880 * [backup-simplify]: Simplify (/ (+ (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1.880 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 1.880 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 1.880 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.880 * [taylor]: Taking taylor expansion of x in y 1.880 * [backup-simplify]: Simplify x into x 1.880 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.880 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.881 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.881 * [taylor]: Taking taylor expansion of y in y 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 1 into 1 1.881 * [backup-simplify]: Simplify (* 1 1) into 1 1.881 * [backup-simplify]: Simplify (/ 1 1) into 1 1.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.881 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.881 * [taylor]: Taking taylor expansion of x in y 1.881 * [backup-simplify]: Simplify x into x 1.881 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.882 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.882 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.882 * [taylor]: Taking taylor expansion of y in y 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (* 1 1) into 1 1.882 * [backup-simplify]: Simplify (/ 1 1) into 1 1.883 * [backup-simplify]: Simplify (- 1) into -1 1.883 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.884 * [backup-simplify]: Simplify (+ 0 1) into 1 1.884 * [backup-simplify]: Simplify (/ -1 1) into -1 1.884 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.884 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.884 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.884 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.884 * [taylor]: Taking taylor expansion of x in x 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify 1 into 1 1.885 * [backup-simplify]: Simplify (* 1 1) into 1 1.885 * [backup-simplify]: Simplify (/ 1 1) into 1 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.885 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.885 * [taylor]: Taking taylor expansion of y in x 1.885 * [backup-simplify]: Simplify y into y 1.885 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.885 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.885 * [taylor]: Taking taylor expansion of x in x 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (* 1 1) into 1 1.887 * [backup-simplify]: Simplify (/ 1 1) into 1 1.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.887 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.887 * [taylor]: Taking taylor expansion of y in x 1.887 * [backup-simplify]: Simplify y into y 1.887 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.887 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.888 * [backup-simplify]: Simplify (+ 1 0) into 1 1.888 * [backup-simplify]: Simplify (/ 1 1) into 1 1.888 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 1.888 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.888 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.888 * [taylor]: Taking taylor expansion of x in x 1.888 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (* 1 1) into 1 1.889 * [backup-simplify]: Simplify (/ 1 1) into 1 1.889 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.889 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.889 * [taylor]: Taking taylor expansion of y in x 1.889 * [backup-simplify]: Simplify y into y 1.889 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.890 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.890 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.890 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.890 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.890 * [taylor]: Taking taylor expansion of x in x 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (* 1 1) into 1 1.890 * [backup-simplify]: Simplify (/ 1 1) into 1 1.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.891 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.891 * [taylor]: Taking taylor expansion of y in x 1.891 * [backup-simplify]: Simplify y into y 1.891 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.891 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.891 * [backup-simplify]: Simplify (+ 1 0) into 1 1.892 * [backup-simplify]: Simplify (+ 1 0) into 1 1.892 * [backup-simplify]: Simplify (/ 1 1) into 1 1.892 * [taylor]: Taking taylor expansion of 1 in y 1.892 * [backup-simplify]: Simplify 1 into 1 1.892 * [backup-simplify]: Simplify 1 into 1 1.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.895 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 1.896 * [taylor]: Taking taylor expansion of 0 in y 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.898 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.901 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 1.901 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 1.901 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 1.901 * [taylor]: Taking taylor expansion of 2 in y 1.901 * [backup-simplify]: Simplify 2 into 2 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.901 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.901 * [taylor]: Taking taylor expansion of y in y 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (* 1 1) into 1 1.902 * [backup-simplify]: Simplify (/ 1 1) into 1 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 1.906 * [backup-simplify]: Simplify (- 0) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.908 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.908 * [backup-simplify]: Simplify (- 0) into 0 1.909 * [backup-simplify]: Simplify (+ 0 0) into 0 1.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 1.911 * [taylor]: Taking taylor expansion of 0 in y 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.912 * [backup-simplify]: Simplify (* (- x y) y) into (* y (- x y)) 1.912 * [approximate]: Taking taylor expansion of (* y (- x y)) in (x y) around 0 1.912 * [taylor]: Taking taylor expansion of (* y (- x y)) in y 1.912 * [taylor]: Taking taylor expansion of y in y 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of (- x y) in y 1.912 * [taylor]: Taking taylor expansion of x in y 1.912 * [backup-simplify]: Simplify x into x 1.912 * [taylor]: Taking taylor expansion of y in y 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of (* y (- x y)) in x 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [backup-simplify]: Simplify y into y 1.912 * [taylor]: Taking taylor expansion of (- x y) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [backup-simplify]: Simplify y into y 1.912 * [taylor]: Taking taylor expansion of (* y (- x y)) in x 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [backup-simplify]: Simplify y into y 1.912 * [taylor]: Taking taylor expansion of (- x y) in x 1.912 * [taylor]: Taking taylor expansion of x in x 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [taylor]: Taking taylor expansion of y in x 1.912 * [backup-simplify]: Simplify y into y 1.912 * [backup-simplify]: Simplify (- y) into (- y) 1.912 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 1.912 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 1.912 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 1.912 * [taylor]: Taking taylor expansion of -1 in y 1.912 * [backup-simplify]: Simplify -1 into -1 1.912 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.912 * [taylor]: Taking taylor expansion of y in y 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (- 0) into 0 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.913 * [backup-simplify]: Simplify (+ (* y 1) (* 0 (- y))) into y 1.913 * [taylor]: Taking taylor expansion of y in y 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify (+ 0 0) into 0 1.914 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 (- y)))) into 0 1.914 * [taylor]: Taking taylor expansion of 0 in y 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 1 into 1 1.914 * [backup-simplify]: Simplify (* 1 1) into 1 1.915 * [backup-simplify]: Simplify (* -1 1) into -1 1.915 * [backup-simplify]: Simplify -1 into -1 1.915 * [backup-simplify]: Simplify (- 0) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y))))) into 0 1.916 * [taylor]: Taking taylor expansion of 0 in y 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.917 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (- 0) into 0 1.917 * [backup-simplify]: Simplify (+ 0 0) into 0 1.918 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 1.918 * [taylor]: Taking taylor expansion of 0 in y 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (* y x))) into (- (* x y) (pow y 2)) 1.918 * [backup-simplify]: Simplify (* (- (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (- (/ 1 x) (/ 1 y)) y) 1.918 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 1.918 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in y 1.918 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 1.918 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.918 * [taylor]: Taking taylor expansion of x in y 1.918 * [backup-simplify]: Simplify x into x 1.918 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.918 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.918 * [taylor]: Taking taylor expansion of y in y 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [taylor]: Taking taylor expansion of y in y 1.919 * [backup-simplify]: Simplify 0 into 0 1.919 * [backup-simplify]: Simplify 1 into 1 1.919 * [backup-simplify]: Simplify (- 1) into -1 1.919 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.920 * [backup-simplify]: Simplify (/ -1 1) into -1 1.920 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in x 1.920 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.920 * [backup-simplify]: Simplify 0 into 0 1.920 * [backup-simplify]: Simplify 1 into 1 1.920 * [backup-simplify]: Simplify (/ 1 1) into 1 1.920 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.920 * [taylor]: Taking taylor expansion of y in x 1.920 * [backup-simplify]: Simplify y into y 1.920 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.920 * [taylor]: Taking taylor expansion of y in x 1.920 * [backup-simplify]: Simplify y into y 1.920 * [backup-simplify]: Simplify (+ 1 0) into 1 1.920 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.920 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in x 1.920 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 1.920 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.920 * [taylor]: Taking taylor expansion of x in x 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.921 * [taylor]: Taking taylor expansion of y in x 1.921 * [backup-simplify]: Simplify y into y 1.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.921 * [taylor]: Taking taylor expansion of y in x 1.921 * [backup-simplify]: Simplify y into y 1.921 * [backup-simplify]: Simplify (+ 1 0) into 1 1.921 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.921 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.921 * [taylor]: Taking taylor expansion of y in y 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (/ 1 1) into 1 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 1.922 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 1.922 * [backup-simplify]: Simplify (- (/ (- (/ 1 y)) y) (+ (* (/ 1 y) (/ 0 y)))) into (- (/ 1 (pow y 2))) 1.922 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.922 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.922 * [taylor]: Taking taylor expansion of y in y 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.923 * [backup-simplify]: Simplify (- 1) into -1 1.923 * [backup-simplify]: Simplify -1 into -1 1.923 * [backup-simplify]: Simplify 1 into 1 1.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.924 * [backup-simplify]: Simplify (- 0) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 0 y)))) into 0 1.924 * [taylor]: Taking taylor expansion of 0 in y 1.924 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.926 * [backup-simplify]: Simplify (- 0) into 0 1.926 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.930 * [backup-simplify]: Simplify (+ 0 0) into 0 1.930 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.930 * [taylor]: Taking taylor expansion of 0 in y 1.930 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (- 0) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify 0 into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.933 * [backup-simplify]: Simplify (- 0) into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.934 * [taylor]: Taking taylor expansion of 0 in y 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- 0) into 0 1.935 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (* x y) (pow y 2)) 1.936 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) 1.936 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in (x y) around 0 1.936 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in y 1.936 * [taylor]: Taking taylor expansion of -1 in y 1.936 * [backup-simplify]: Simplify -1 into -1 1.936 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in y 1.936 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 1.936 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.936 * [taylor]: Taking taylor expansion of y in y 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of (/ 1 x) in y 1.936 * [taylor]: Taking taylor expansion of x in y 1.936 * [backup-simplify]: Simplify x into x 1.936 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 1.936 * [taylor]: Taking taylor expansion of y in y 1.936 * [backup-simplify]: Simplify 0 into 0 1.936 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (+ 1 0) into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in x 1.937 * [taylor]: Taking taylor expansion of -1 in x 1.937 * [backup-simplify]: Simplify -1 into -1 1.937 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in x 1.937 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.937 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.937 * [taylor]: Taking taylor expansion of y in x 1.937 * [backup-simplify]: Simplify y into y 1.937 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.937 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.937 * [taylor]: Taking taylor expansion of x in x 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify 1 into 1 1.937 * [backup-simplify]: Simplify (/ 1 1) into 1 1.937 * [taylor]: Taking taylor expansion of y in x 1.937 * [backup-simplify]: Simplify y into y 1.938 * [backup-simplify]: Simplify (- 1) into -1 1.938 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.938 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.938 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in x 1.938 * [taylor]: Taking taylor expansion of -1 in x 1.938 * [backup-simplify]: Simplify -1 into -1 1.938 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in x 1.938 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 1.938 * [taylor]: Taking taylor expansion of (/ 1 y) in x 1.938 * [taylor]: Taking taylor expansion of y in x 1.938 * [backup-simplify]: Simplify y into y 1.938 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 1.938 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.938 * [taylor]: Taking taylor expansion of x in x 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (/ 1 1) into 1 1.938 * [taylor]: Taking taylor expansion of y in x 1.938 * [backup-simplify]: Simplify y into y 1.939 * [backup-simplify]: Simplify (- 1) into -1 1.939 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.939 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 1.939 * [backup-simplify]: Simplify (* -1 (/ -1 y)) into (/ 1 y) 1.939 * [taylor]: Taking taylor expansion of (/ 1 y) in y 1.939 * [taylor]: Taking taylor expansion of y in y 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.940 * [backup-simplify]: Simplify (- 0) into 0 1.940 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 1.940 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ -1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 1.940 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ -1 y))) into (- (/ 1 (pow y 2))) 1.940 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.941 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.941 * [taylor]: Taking taylor expansion of y in y 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (* 1 1) into 1 1.941 * [backup-simplify]: Simplify (/ 1 1) into 1 1.941 * [backup-simplify]: Simplify (- 1) into -1 1.941 * [backup-simplify]: Simplify -1 into -1 1.941 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- 0) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 1.943 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (* 0 (/ -1 y)))) into 0 1.943 * [taylor]: Taking taylor expansion of 0 in y 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify (- 0) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (- 0) into 0 1.946 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (* 0 (/ -1 y))))) into 0 1.947 * [taylor]: Taking taylor expansion of 0 in y 1.947 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- 0) into 0 1.948 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (- 0) into 0 1.950 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 1.951 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (* 0 (/ -1 y)))))) into 0 1.951 * [taylor]: Taking taylor expansion of 0 in y 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (- 0) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (* x y) (pow y 2)) 1.953 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 1.953 * [backup-simplify]: Simplify (+ (* (- x y) x) (* (- x y) y)) into (- (pow x 2) (pow y 2)) 1.953 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 1.953 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 1.953 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.953 * [taylor]: Taking taylor expansion of x in y 1.953 * [backup-simplify]: Simplify x into x 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.953 * [taylor]: Taking taylor expansion of y in y 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [backup-simplify]: Simplify y into y 1.953 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 1.953 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.953 * [taylor]: Taking taylor expansion of x in x 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.953 * [taylor]: Taking taylor expansion of y in x 1.953 * [backup-simplify]: Simplify y into y 1.954 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.954 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 1.954 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 1.954 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 1.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.954 * [taylor]: Taking taylor expansion of y in y 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.954 * [backup-simplify]: Simplify (- 0) into 0 1.954 * [backup-simplify]: Simplify (+ 0 0) into 0 1.954 * [taylor]: Taking taylor expansion of 0 in y 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.955 * [backup-simplify]: Simplify (- 0) into 0 1.955 * [backup-simplify]: Simplify (+ 1 0) into 1 1.955 * [taylor]: Taking taylor expansion of 1 in y 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify 1 into 1 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify (* 1 1) into 1 1.956 * [backup-simplify]: Simplify (- 1) into -1 1.956 * [backup-simplify]: Simplify -1 into -1 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.957 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.957 * [backup-simplify]: Simplify (- 0) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.957 * [taylor]: Taking taylor expansion of 0 in y 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify 0 into 0 1.958 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.958 * [backup-simplify]: Simplify (- 0) into 0 1.958 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.959 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [taylor]: Taking taylor expansion of 0 in y 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 1.960 * [backup-simplify]: Simplify (+ (* (- (/ 1 x) (/ 1 y)) (/ 1 x)) (* (- (/ 1 x) (/ 1 y)) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.960 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.960 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.960 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.960 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.961 * [taylor]: Taking taylor expansion of x in y 1.961 * [backup-simplify]: Simplify x into x 1.961 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.961 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.961 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.961 * [taylor]: Taking taylor expansion of y in y 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.961 * [backup-simplify]: Simplify (* 1 1) into 1 1.961 * [backup-simplify]: Simplify (/ 1 1) into 1 1.961 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.961 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.961 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.961 * [taylor]: Taking taylor expansion of x in x 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (* 1 1) into 1 1.962 * [backup-simplify]: Simplify (/ 1 1) into 1 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.962 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.962 * [taylor]: Taking taylor expansion of y in x 1.962 * [backup-simplify]: Simplify y into y 1.962 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.962 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.962 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.962 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.962 * [taylor]: Taking taylor expansion of x in x 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.963 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.963 * [taylor]: Taking taylor expansion of y in x 1.963 * [backup-simplify]: Simplify y into y 1.963 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.963 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.963 * [backup-simplify]: Simplify (+ 1 0) into 1 1.963 * [taylor]: Taking taylor expansion of 1 in y 1.963 * [backup-simplify]: Simplify 1 into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.964 * [taylor]: Taking taylor expansion of 0 in y 1.964 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.966 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.966 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.966 * [taylor]: Taking taylor expansion of y in y 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* 1 1) into 1 1.966 * [backup-simplify]: Simplify (/ 1 1) into 1 1.966 * [backup-simplify]: Simplify (- 1) into -1 1.966 * [backup-simplify]: Simplify -1 into -1 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.968 * [backup-simplify]: Simplify (- 0) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [taylor]: Taking taylor expansion of 0 in y 1.968 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (- 0) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.972 * [backup-simplify]: Simplify (- 0) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [taylor]: Taking taylor expansion of 0 in y 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (- 0) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 1.974 * [backup-simplify]: Simplify (+ (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.974 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.974 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.974 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.974 * [taylor]: Taking taylor expansion of x in y 1.974 * [backup-simplify]: Simplify x into x 1.974 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.974 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.974 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.974 * [taylor]: Taking taylor expansion of y in y 1.974 * [backup-simplify]: Simplify 0 into 0 1.974 * [backup-simplify]: Simplify 1 into 1 1.974 * [backup-simplify]: Simplify (* 1 1) into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (* 1 1) into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.975 * [taylor]: Taking taylor expansion of y in x 1.975 * [backup-simplify]: Simplify y into y 1.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.975 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.975 * [taylor]: Taking taylor expansion of x in x 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (* 1 1) into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.976 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.976 * [taylor]: Taking taylor expansion of y in x 1.976 * [backup-simplify]: Simplify y into y 1.976 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.976 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.977 * [backup-simplify]: Simplify (+ 1 0) into 1 1.977 * [taylor]: Taking taylor expansion of 1 in y 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [taylor]: Taking taylor expansion of 0 in y 1.978 * [backup-simplify]: Simplify 0 into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.979 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 1.979 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 1.979 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.979 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.979 * [taylor]: Taking taylor expansion of y in y 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [backup-simplify]: Simplify (- 1) into -1 1.980 * [backup-simplify]: Simplify -1 into -1 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.981 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 1.981 * [backup-simplify]: Simplify (- 0) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [taylor]: Taking taylor expansion of 0 in y 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (- 0) into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 1.985 * [backup-simplify]: Simplify (- 0) into 0 1.985 * [backup-simplify]: Simplify (+ 0 0) into 0 1.985 * [taylor]: Taking taylor expansion of 0 in y 1.985 * [backup-simplify]: Simplify 0 into 0 1.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (- 0) into 0 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 1.987 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 1.987 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2)) 1.987 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0 1.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 1.987 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.987 * [taylor]: Taking taylor expansion of x in y 1.987 * [backup-simplify]: Simplify x into x 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.987 * [taylor]: Taking taylor expansion of y in y 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.987 * [taylor]: Taking taylor expansion of y in x 1.987 * [backup-simplify]: Simplify y into y 1.987 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 1.987 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.987 * [taylor]: Taking taylor expansion of x in x 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.987 * [taylor]: Taking taylor expansion of y in x 1.988 * [backup-simplify]: Simplify y into y 1.988 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.988 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 1.988 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.988 * [taylor]: Taking taylor expansion of y in y 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 1.988 * [backup-simplify]: Simplify (+ 0 0) into 0 1.988 * [taylor]: Taking taylor expansion of 0 in y 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 1.989 * [backup-simplify]: Simplify (+ 1 0) into 1 1.989 * [taylor]: Taking taylor expansion of 1 in y 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify 1 into 1 1.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.991 * [taylor]: Taking taylor expansion of 0 in y 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.991 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.992 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [taylor]: Taking taylor expansion of 0 in y 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2)) 1.993 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1.993 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 1.993 * [taylor]: Taking taylor expansion of (pow x 2) in y 1.993 * [taylor]: Taking taylor expansion of x in y 1.993 * [backup-simplify]: Simplify x into x 1.993 * [backup-simplify]: Simplify (* x x) into (pow x 2) 1.993 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.993 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.993 * [taylor]: Taking taylor expansion of y in y 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (* 1 1) into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.994 * [taylor]: Taking taylor expansion of x in x 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (* 1 1) into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.995 * [taylor]: Taking taylor expansion of y in x 1.995 * [backup-simplify]: Simplify y into y 1.995 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.995 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.995 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.995 * [taylor]: Taking taylor expansion of x in x 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (* 1 1) into 1 1.995 * [backup-simplify]: Simplify (/ 1 1) into 1 1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 1.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 1.995 * [taylor]: Taking taylor expansion of y in x 1.995 * [backup-simplify]: Simplify y into y 1.995 * [backup-simplify]: Simplify (* y y) into (pow y 2) 1.996 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 1.996 * [backup-simplify]: Simplify (+ 1 0) into 1 1.996 * [taylor]: Taking taylor expansion of 1 in y 1.996 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [taylor]: Taking taylor expansion of 0 in y 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 1.998 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 1.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 1.999 * [taylor]: Taking taylor expansion of y in y 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify (* 1 1) into 1 1.999 * [backup-simplify]: Simplify (/ 1 1) into 1 1.999 * [backup-simplify]: Simplify 1 into 1 1.999 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [taylor]: Taking taylor expansion of 0 in y 2.001 * [backup-simplify]: Simplify 0 into 0 2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.003 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [taylor]: Taking taylor expansion of 0 in y 2.004 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.007 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.007 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.007 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.007 * [taylor]: Taking taylor expansion of x in y 2.007 * [backup-simplify]: Simplify x into x 2.007 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.008 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.008 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.008 * [taylor]: Taking taylor expansion of y in y 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (* 1 1) into 1 2.008 * [backup-simplify]: Simplify (/ 1 1) into 1 2.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.009 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.009 * [taylor]: Taking taylor expansion of x in x 2.009 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.009 * [backup-simplify]: Simplify (/ 1 1) into 1 2.009 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.009 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.010 * [taylor]: Taking taylor expansion of y in x 2.010 * [backup-simplify]: Simplify y into y 2.010 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.010 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.010 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.010 * [taylor]: Taking taylor expansion of x in x 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.011 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.011 * [taylor]: Taking taylor expansion of y in x 2.011 * [backup-simplify]: Simplify y into y 2.011 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.011 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.012 * [backup-simplify]: Simplify (+ 1 0) into 1 2.012 * [taylor]: Taking taylor expansion of 1 in y 2.012 * [backup-simplify]: Simplify 1 into 1 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [taylor]: Taking taylor expansion of 0 in y 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.016 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.016 * [taylor]: Taking taylor expansion of y in y 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (* 1 1) into 1 2.016 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.019 * [taylor]: Taking taylor expansion of 0 in y 2.019 * [backup-simplify]: Simplify 0 into 0 2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [taylor]: Taking taylor expansion of 0 in y 2.024 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2)) 2.027 * * * [progress]: simplifying candidates 2.030 * [simplify]: Simplifying: (- (log (+ (* (- x y) x) (* (- x y) y))) (log (+ (* x x) (* y y)))) (log (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (exp (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (/ (* (* (+ (* (- x y) x) (* (- x y) y)) (+ (* (- x y) x) (* (- x y) y))) (+ (* (- x y) x) (* (- x y) y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))))) (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (* (* (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))) (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (sqrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (sqrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (- (+ (* (- x y) x) (* (- x y) y))) (- (+ (* x x) (* y y))) (/ (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) 1) (/ (cbrt (+ (* (- x y) x) (* (- x y) y))) (+ (* x x) (* y y))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* x x) (* y y)))) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) 1) (/ (sqrt (+ (* (- x y) x) (* (- x y) y))) (+ (* x x) (* y y))) (/ 1 (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ (* (- x y) x) (* (- x y) y)) (cbrt (+ (* x x) (* y y)))) (/ 1 (sqrt (+ (* x x) (* y y)))) (/ (+ (* (- x y) x) (* (- x y) y)) (sqrt (+ (* x x) (* y y)))) (/ 1 1) (/ (+ (* (- x y) x) (* (- x y) 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) (* (- x y) y))) (/ (+ (* (- x y) x) (* (- x y) y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (+ (* (- x y) x) (* (- x y) y)) (sqrt (+ (* x x) (* y y)))) (/ (+ (* (- x y) x) (* (- x y) y)) 1) (/ (+ (* x x) (* y y)) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (/ (+ (* x x) (* y y)) (sqrt (+ (* (- x y) x) (* (- x y) y)))) (/ (+ (* x x) (* y y)) (+ (* (- x y) x) (* (- x y) y))) (/ (+ (* x x) (* y y)) (+ x y)) (/ (+ (* (- x y) x) (* (- x y) y)) (+ (pow (* x x) 3) (pow (* y y) 3))) (/ (+ (* (- x y) x) (* (- x y) 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 y) x) (* (- x y) x)) (- (* (* (- x y) y) (* (- x y) y)) (* (* (- x y) x) (* (- x y) y))))) (* (+ (* x x) (* y y)) (- (* (- x y) x) (* (- x y) y))) (* (- x y) y) (+ (log (- x y)) (log y)) (log (* (- x y) y)) (exp (* (- x y) y)) (* (* (* (- x y) (- x y)) (- x y)) (* (* y y) y)) (* (cbrt (* (- x y) y)) (cbrt (* (- x y) y))) (cbrt (* (- x y) y)) (* (* (* (- x y) y) (* (- x y) y)) (* (- x y) y)) (sqrt (* (- x y) y)) (sqrt (* (- x y) y)) (* (sqrt (- x y)) (sqrt y)) (* (sqrt (- x y)) (sqrt y)) (* (- x y) (* (cbrt y) (cbrt y))) (* (- x y) (sqrt y)) (* (- x y) 1) (* (cbrt (- x y)) y) (* (sqrt (- x y)) y) (* (- x y) y) (* (- (sqrt x) (sqrt y)) y) (* (- x y) y) (* (- (pow x 3) (pow y 3)) y) (* (- (* x x) (* y y)) y) (* (exp (* (- x y) x)) (exp (* (- x y) y))) (log (+ (* (- x y) x) (* (- x y) y))) (exp (+ (* (- x y) x) (* (- x y) y))) (* (cbrt (+ (* (- x y) x) (* (- x y) y))) (cbrt (+ (* (- x y) x) (* (- x y) y)))) (cbrt (+ (* (- x y) x) (* (- x y) y))) (* (* (+ (* (- x y) x) (* (- x y) y)) (+ (* (- x y) x) (* (- x y) y))) (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* (- x y) x) (* (- x y) y))) (sqrt (+ (* (- x y) x) (* (- x y) y))) (+ (* (* (- (pow x 3) (pow y 3)) x) (+ (* x x) (+ (* y y) (* x y)))) (* (+ (* x x) (+ (* y y) (* x y))) (* (- (pow x 3) (pow y 3)) y))) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (+ (* y y) (* x y)))) (+ (* (* (- (pow x 3) (pow y 3)) x) (+ x y)) (* (+ (* x x) (+ (* y y) (* x y))) (* (- (* x x) (* y y)) y))) (* (+ (* x x) (+ (* y y) (* x y))) (+ x y)) (+ (* (* (- (* x x) (* y y)) x) (+ (* x x) (+ (* y y) (* x y)))) (* (+ x y) (* (- (pow x 3) (pow y 3)) y))) (* (+ x y) (+ (* x x) (+ (* y y) (* x y)))) (+ (* (* (- (* x x) (* y y)) x) (+ x y)) (* (+ x y) (* (- (* x x) (* y y)) y))) (* (+ x y) (+ x y)) (+ (pow (* (- x y) x) 3) (pow (* (- x y) y) 3)) (+ (* (* (- x y) x) (* (- x y) x)) (- (* (* (- x y) y) (* (- x y) y)) (* (* (- x y) x) (* (- x y) y)))) (- (* (* (- x y) x) (* (- x y) x)) (* (* (- x y) y) (* (- x y) y))) (- (* (- 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 (- (* x y) (pow y 2)) (- (* x y) (pow y 2)) (- (* x y) (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)) (+ (pow x 2) (pow y 2)) 2.036 * [simplify]: Sending expressions to egg_math: (- (log (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (log (+ (* h1 h1) (* h0 h0)))) (log (/ (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (+ (* h1 h1) (* h0 h0)))) (exp (/ (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (+ (* h1 h1) (* h0 h0)))) (/ (* (* (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (+ (* (- h1 h0) h1) (* 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(+ (* h1 h1) (* h0 h0)))) (/ (* (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (* (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0)))) 1) (/ (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (+ (* h1 h1) (* h0 h0))) (/ (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (cbrt (+ (* h1 h1) (* h0 h0)))) (/ (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) 1) (/ (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (+ (* h1 h1) (* h0 h0))) (/ 1 (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (cbrt (+ (* h1 h1) (* h0 h0)))) (/ 1 (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ 1 1) (/ (+ (* (- h1 h0) h1) (* (- h1 h0) 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) (* (- h1 h0) h0))) (/ (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (/ (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) 1) (/ (+ (* h1 h1) (* h0 h0)) (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0)))) (/ (+ (* h1 h1) (* h0 h0)) (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0)))) (/ (+ (* h1 h1) (* h0 h0)) (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (/ (+ (* h1 h1) (* h0 h0)) (+ h1 h0)) (/ (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (/ (+ (* (- h1 h0) h1) (* (- h1 h0) 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 h0) h1) (* (- h1 h0) h1)) (- (* (* (- h1 h0) h0) (* (- h1 h0) h0)) (* (* (- h1 h0) h1) (* (- h1 h0) h0))))) (* (+ (* h1 h1) (* h0 h0)) (- (* (- h1 h0) h1) (* (- h1 h0) h0))) (* (- h1 h0) h0) (+ (log (- h1 h0)) (log h0)) (log (* (- h1 h0) h0)) (exp (* (- h1 h0) h0)) (* (* (* (- h1 h0) (- h1 h0)) (- h1 h0)) (* (* h0 h0) h0)) (* (cbrt (* (- h1 h0) h0)) (cbrt (* (- h1 h0) h0))) (cbrt (* (- h1 h0) h0)) (* (* (* (- h1 h0) h0) (* (- h1 h0) h0)) (* (- h1 h0) h0)) (sqrt (* (- h1 h0) h0)) (sqrt (* (- h1 h0) h0)) (* (sqrt (- h1 h0)) (sqrt h0)) (* (sqrt (- h1 h0)) (sqrt h0)) (* (- h1 h0) (* (cbrt h0) (cbrt h0))) (* (- h1 h0) (sqrt h0)) (* (- h1 h0) 1) (* (cbrt (- h1 h0)) h0) (* (sqrt (- h1 h0)) h0) (* (- h1 h0) h0) (* (- (sqrt h1) (sqrt h0)) h0) (* (- h1 h0) h0) (* (- (pow h1 3) (pow h0 3)) h0) (* (- (* h1 h1) (* h0 h0)) h0) (* (exp (* (- h1 h0) h1)) (exp (* (- h1 h0) h0))) (log (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (exp (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (* (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0)))) (cbrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (* (* (+ (* (- h1 h0) h1) (* (- h1 h0) h0)) (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (sqrt (+ (* (- h1 h0) h1) (* (- h1 h0) h0))) (+ (* (* (- (pow h1 3) (pow h0 3)) h1) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (* (- (pow h1 3) (pow h0 3)) h0))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (+ (* (* (- (pow h1 3) (pow h0 3)) h1) (+ h1 h0)) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (* (- (* h1 h1) (* h0 h0)) h0))) (* (+ (* h1 h1) (+ (* h0 h0) (* h1 h0))) (+ h1 h0)) (+ (* (* (- (* h1 h1) (* h0 h0)) h1) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (* (+ h1 h0) (* (- (pow h1 3) (pow h0 3)) h0))) (* (+ h1 h0) (+ (* h1 h1) (+ (* h0 h0) (* h1 h0)))) (+ (* (* (- (* h1 h1) (* h0 h0)) h1) (+ h1 h0)) (* (+ h1 h0) (* (- (* h1 h1) (* h0 h0)) h0))) (* (+ h1 h0) (+ h1 h0)) (+ (pow (* (- h1 h0) h1) 3) (pow (* (- h1 h0) h0) 3)) (+ (* (* (- h1 h0) h1) (* (- h1 h0) h1)) (- (* (* (- h1 h0) h0) (* (- h1 h0) h0)) (* (* (- h1 h0) h1) (* (- h1 h0) h0)))) (- (* (* (- h1 h0) h1) (* (- h1 h0) h1)) (* (* (- h1 h0) h0) (* (- h1 h0) h0))) (- (* (- 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 (- (* h1 h0) (pow h0 2)) (- (* h1 h0) (pow h0 2)) (- (* h1 h0) (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)) (+ (pow h1 2) (pow h0 2)) 2.122 * * * [progress]: adding candidates to table 2.508 * * [progress]: iteration 4 / 4 2.508 * * * [progress]: picking best candidate 2.512 * * * * [pick]: Picked # 2.512 * * * [progress]: localizing error 2.529 * * * [progress]: generating rewritten candidates 2.529 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 2.617 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2) 2.652 * * * * [progress]: [ 3 / 4 ] rewriting at (2) 2.747 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1) 2.786 * * * [progress]: generating series expansions 2.786 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 2.786 * [backup-simplify]: Simplify (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))) into (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) 2.786 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.786 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 2.786 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.786 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.787 * [taylor]: Taking taylor expansion of x in y 2.787 * [backup-simplify]: Simplify x into x 2.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.787 * [taylor]: Taking taylor expansion of y in y 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.787 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.787 * [taylor]: Taking taylor expansion of x in y 2.787 * [backup-simplify]: Simplify x into x 2.787 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.787 * [taylor]: Taking taylor expansion of y in y 2.787 * [backup-simplify]: Simplify 0 into 0 2.787 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.787 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.787 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.787 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.788 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.788 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 2.788 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.788 * [taylor]: Taking taylor expansion of y in x 2.788 * [backup-simplify]: Simplify y into y 2.788 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.788 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.788 * [taylor]: Taking taylor expansion of x in x 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.788 * [taylor]: Taking taylor expansion of y in x 2.788 * [backup-simplify]: Simplify y into y 2.788 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.788 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.788 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.788 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.789 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.789 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 2.789 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 2.789 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.789 * [taylor]: Taking taylor expansion of x in x 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.789 * [taylor]: Taking taylor expansion of y in x 2.789 * [backup-simplify]: Simplify y into y 2.789 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.789 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.789 * [taylor]: Taking taylor expansion of x in x 2.789 * [backup-simplify]: Simplify 0 into 0 2.789 * [backup-simplify]: Simplify 1 into 1 2.789 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.789 * [taylor]: Taking taylor expansion of y in x 2.789 * [backup-simplify]: Simplify y into y 2.789 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.789 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.790 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.790 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.790 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.790 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 2.790 * [taylor]: Taking taylor expansion of -1 in y 2.790 * [backup-simplify]: Simplify -1 into -1 2.790 * [backup-simplify]: Simplify -1 into -1 2.790 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.791 * [backup-simplify]: Simplify (- 0) into 0 2.791 * [backup-simplify]: Simplify (+ 0 0) into 0 2.791 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.792 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 2.792 * [taylor]: Taking taylor expansion of 0 in y 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.792 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.793 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.793 * [backup-simplify]: Simplify (- 0) into 0 2.794 * [backup-simplify]: Simplify (+ 1 0) into 1 2.794 * [backup-simplify]: Simplify (* 1 1) into 1 2.795 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.795 * [backup-simplify]: Simplify (+ 1 0) into 1 2.795 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 2.795 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.795 * [taylor]: Taking taylor expansion of 2 in y 2.795 * [backup-simplify]: Simplify 2 into 2 2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.796 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.796 * [taylor]: Taking taylor expansion of y in y 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (* 1 1) into 1 2.796 * [backup-simplify]: Simplify (/ 1 1) into 1 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.800 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 0 into 0 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.805 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.805 * [backup-simplify]: Simplify (- 0) into 0 2.806 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.807 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.807 * [backup-simplify]: Simplify (+ 0 0) into 0 2.807 * [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 2.807 * [taylor]: Taking taylor expansion of 0 in y 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify 0 into 0 2.808 * [backup-simplify]: Simplify -1 into -1 2.808 * [backup-simplify]: Simplify (/ (+ (* (- (/ 1 x) (/ 1 y)) (/ 1 x)) (* (- (/ 1 x) (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.808 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.808 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.808 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.808 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.808 * [taylor]: Taking taylor expansion of x in y 2.808 * [backup-simplify]: Simplify x into x 2.808 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.808 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.808 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.808 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.809 * [taylor]: Taking taylor expansion of y in y 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* 1 1) into 1 2.809 * [backup-simplify]: Simplify (/ 1 1) into 1 2.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.809 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.809 * [taylor]: Taking taylor expansion of x in y 2.809 * [backup-simplify]: Simplify x into x 2.809 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.809 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.809 * [taylor]: Taking taylor expansion of y in y 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (/ 1 1) into 1 2.810 * [backup-simplify]: Simplify (- 1) into -1 2.810 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.811 * [backup-simplify]: Simplify (+ 0 1) into 1 2.811 * [backup-simplify]: Simplify (/ -1 1) into -1 2.811 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.811 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.811 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.811 * [taylor]: Taking taylor expansion of x in x 2.811 * [backup-simplify]: Simplify 0 into 0 2.811 * [backup-simplify]: Simplify 1 into 1 2.811 * [backup-simplify]: Simplify (* 1 1) into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.811 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.811 * [taylor]: Taking taylor expansion of y in x 2.811 * [backup-simplify]: Simplify y into y 2.812 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.812 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.812 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.812 * [taylor]: Taking taylor expansion of x in x 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (* 1 1) into 1 2.812 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.812 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.812 * [taylor]: Taking taylor expansion of y in x 2.812 * [backup-simplify]: Simplify y into y 2.812 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.812 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.813 * [backup-simplify]: Simplify (+ 1 0) into 1 2.813 * [backup-simplify]: Simplify (+ 1 0) into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.813 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.813 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.813 * [taylor]: Taking taylor expansion of x in x 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (* 1 1) into 1 2.814 * [backup-simplify]: Simplify (/ 1 1) into 1 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.814 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.814 * [taylor]: Taking taylor expansion of y in x 2.814 * [backup-simplify]: Simplify y into y 2.814 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.814 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.814 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.814 * [taylor]: Taking taylor expansion of x in x 2.814 * [backup-simplify]: Simplify 0 into 0 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (* 1 1) into 1 2.815 * [backup-simplify]: Simplify (/ 1 1) into 1 2.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.815 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.815 * [taylor]: Taking taylor expansion of y in x 2.815 * [backup-simplify]: Simplify y into y 2.815 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.815 * [backup-simplify]: Simplify (+ 1 0) into 1 2.815 * [backup-simplify]: Simplify (+ 1 0) into 1 2.816 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [taylor]: Taking taylor expansion of 1 in y 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.817 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.818 * [taylor]: Taking taylor expansion of 0 in y 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.818 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.819 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.821 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.821 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 2.821 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.821 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.821 * [taylor]: Taking taylor expansion of 2 in y 2.821 * [backup-simplify]: Simplify 2 into 2 2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.821 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.821 * [taylor]: Taking taylor expansion of y in y 2.821 * [backup-simplify]: Simplify 0 into 0 2.821 * [backup-simplify]: Simplify 1 into 1 2.822 * [backup-simplify]: Simplify (* 1 1) into 1 2.822 * [backup-simplify]: Simplify (/ 1 1) into 1 2.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.824 * [backup-simplify]: Simplify (- 0) into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 0 into 0 2.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.826 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.826 * [backup-simplify]: Simplify (- 0) into 0 2.826 * [backup-simplify]: Simplify (+ 0 0) into 0 2.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.827 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.828 * [backup-simplify]: Simplify (+ 0 0) into 0 2.829 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.829 * [taylor]: Taking taylor expansion of 0 in y 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (/ (+ (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.829 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.829 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.829 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.830 * [taylor]: Taking taylor expansion of x in y 2.830 * [backup-simplify]: Simplify x into x 2.830 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.830 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.830 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.830 * [taylor]: Taking taylor expansion of y in y 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (* 1 1) into 1 2.830 * [backup-simplify]: Simplify (/ 1 1) into 1 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.830 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.830 * [taylor]: Taking taylor expansion of x in y 2.830 * [backup-simplify]: Simplify x into x 2.830 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.830 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.831 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.831 * [taylor]: Taking taylor expansion of y in y 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (* 1 1) into 1 2.831 * [backup-simplify]: Simplify (/ 1 1) into 1 2.831 * [backup-simplify]: Simplify (- 1) into -1 2.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.832 * [backup-simplify]: Simplify (+ 0 1) into 1 2.832 * [backup-simplify]: Simplify (/ -1 1) into -1 2.832 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.832 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.832 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.832 * [taylor]: Taking taylor expansion of x in x 2.832 * [backup-simplify]: Simplify 0 into 0 2.832 * [backup-simplify]: Simplify 1 into 1 2.832 * [backup-simplify]: Simplify (* 1 1) into 1 2.833 * [backup-simplify]: Simplify (/ 1 1) into 1 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.833 * [taylor]: Taking taylor expansion of y in x 2.833 * [backup-simplify]: Simplify y into y 2.833 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.833 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.833 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.833 * [taylor]: Taking taylor expansion of x in x 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.833 * [backup-simplify]: Simplify (* 1 1) into 1 2.833 * [backup-simplify]: Simplify (/ 1 1) into 1 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.833 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.834 * [taylor]: Taking taylor expansion of y in x 2.834 * [backup-simplify]: Simplify y into y 2.834 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.834 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.834 * [backup-simplify]: Simplify (+ 1 0) into 1 2.834 * [backup-simplify]: Simplify (+ 1 0) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.834 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.834 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (* 1 1) into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.835 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.835 * [taylor]: Taking taylor expansion of y in x 2.835 * [backup-simplify]: Simplify y into y 2.835 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.835 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.835 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.835 * [taylor]: Taking taylor expansion of x in x 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.836 * [backup-simplify]: Simplify (* 1 1) into 1 2.836 * [backup-simplify]: Simplify (/ 1 1) into 1 2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.836 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.836 * [taylor]: Taking taylor expansion of y in x 2.836 * [backup-simplify]: Simplify y into y 2.836 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.836 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.836 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of 1 in y 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify 1 into 1 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.838 * [backup-simplify]: Simplify (+ 0 0) into 0 2.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (+ 0 0) into 0 2.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.839 * [taylor]: Taking taylor expansion of 0 in y 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.839 * [backup-simplify]: Simplify 0 into 0 2.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.841 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.842 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.842 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 2.842 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.842 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.843 * [taylor]: Taking taylor expansion of 2 in y 2.843 * [backup-simplify]: Simplify 2 into 2 2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.843 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.843 * [taylor]: Taking taylor expansion of y in y 2.843 * [backup-simplify]: Simplify 0 into 0 2.843 * [backup-simplify]: Simplify 1 into 1 2.843 * [backup-simplify]: Simplify (* 1 1) into 1 2.843 * [backup-simplify]: Simplify (/ 1 1) into 1 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.845 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.846 * [backup-simplify]: Simplify (- 0) into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.847 * [backup-simplify]: Simplify (- 0) into 0 2.848 * [backup-simplify]: Simplify (+ 0 0) into 0 2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.849 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.849 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.850 * [taylor]: Taking taylor expansion of 0 in y 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 1 into 1 2.850 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2) 2.850 * [backup-simplify]: Simplify (* (- x y) y) into (* y (- x y)) 2.850 * [approximate]: Taking taylor expansion of (* y (- x y)) in (x y) around 0 2.850 * [taylor]: Taking taylor expansion of (* y (- x y)) in y 2.850 * [taylor]: Taking taylor expansion of y in y 2.850 * [backup-simplify]: Simplify 0 into 0 2.850 * [backup-simplify]: Simplify 1 into 1 2.850 * [taylor]: Taking taylor expansion of (- x y) in y 2.850 * [taylor]: Taking taylor expansion of x in y 2.850 * [backup-simplify]: Simplify x into x 2.850 * [taylor]: Taking taylor expansion of y in y 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [taylor]: Taking taylor expansion of (* y (- x y)) in x 2.851 * [taylor]: Taking taylor expansion of y in x 2.851 * [backup-simplify]: Simplify y into y 2.851 * [taylor]: Taking taylor expansion of (- x y) in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [taylor]: Taking taylor expansion of y in x 2.851 * [backup-simplify]: Simplify y into y 2.851 * [taylor]: Taking taylor expansion of (* y (- x y)) in x 2.851 * [taylor]: Taking taylor expansion of y in x 2.851 * [backup-simplify]: Simplify y into y 2.851 * [taylor]: Taking taylor expansion of (- x y) in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [taylor]: Taking taylor expansion of y in x 2.851 * [backup-simplify]: Simplify y into y 2.851 * [backup-simplify]: Simplify (- y) into (- y) 2.851 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y) 2.851 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2)) 2.851 * [taylor]: Taking taylor expansion of (* -1 (pow y 2)) in y 2.851 * [taylor]: Taking taylor expansion of -1 in y 2.851 * [backup-simplify]: Simplify -1 into -1 2.851 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.851 * [taylor]: Taking taylor expansion of y in y 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (- 0) into 0 2.852 * [backup-simplify]: Simplify (+ 1 0) into 1 2.852 * [backup-simplify]: Simplify (+ (* y 1) (* 0 (- y))) into y 2.852 * [taylor]: Taking taylor expansion of y in y 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify 1 into 1 2.852 * [backup-simplify]: Simplify 0 into 0 2.852 * [backup-simplify]: Simplify (- 0) into 0 2.852 * [backup-simplify]: Simplify (+ 0 0) into 0 2.852 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 1) (* 0 (- y)))) into 0 2.853 * [taylor]: Taking taylor expansion of 0 in y 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 0 into 0 2.853 * [backup-simplify]: Simplify 1 into 1 2.853 * [backup-simplify]: Simplify (* 1 1) into 1 2.853 * [backup-simplify]: Simplify (* -1 1) into -1 2.853 * [backup-simplify]: Simplify -1 into -1 2.853 * [backup-simplify]: Simplify (- 0) into 0 2.854 * [backup-simplify]: Simplify (+ 0 0) into 0 2.854 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y))))) into 0 2.854 * [taylor]: Taking taylor expansion of 0 in y 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.854 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.855 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0 2.855 * [backup-simplify]: Simplify 0 into 0 2.855 * [backup-simplify]: Simplify (- 0) into 0 2.855 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 (- y)))))) into 0 2.856 * [taylor]: Taking taylor expansion of 0 in y 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (* y x))) into (- (* x y) (pow y 2)) 2.857 * [backup-simplify]: Simplify (* (- (/ 1 x) (/ 1 y)) (/ 1 y)) into (/ (- (/ 1 x) (/ 1 y)) y) 2.857 * [approximate]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in (x y) around 0 2.857 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in y 2.857 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y 2.857 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.857 * [taylor]: Taking taylor expansion of x in y 2.857 * [backup-simplify]: Simplify x into x 2.857 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.857 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.857 * [taylor]: Taking taylor expansion of y in y 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (/ 1 1) into 1 2.857 * [taylor]: Taking taylor expansion of y in y 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [backup-simplify]: Simplify (- 1) into -1 2.858 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.858 * [backup-simplify]: Simplify (/ -1 1) into -1 2.858 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in x 2.858 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.858 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.858 * [taylor]: Taking taylor expansion of x in x 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (/ 1 1) into 1 2.858 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.858 * [taylor]: Taking taylor expansion of y in x 2.858 * [backup-simplify]: Simplify y into y 2.858 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.859 * [taylor]: Taking taylor expansion of y in x 2.859 * [backup-simplify]: Simplify y into y 2.859 * [backup-simplify]: Simplify (+ 1 0) into 1 2.859 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.859 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) (/ 1 y)) y) in x 2.859 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x 2.859 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.859 * [taylor]: Taking taylor expansion of x in x 2.859 * [backup-simplify]: Simplify 0 into 0 2.859 * [backup-simplify]: Simplify 1 into 1 2.859 * [backup-simplify]: Simplify (/ 1 1) into 1 2.859 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.859 * [taylor]: Taking taylor expansion of y in x 2.860 * [backup-simplify]: Simplify y into y 2.860 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.860 * [taylor]: Taking taylor expansion of y in x 2.860 * [backup-simplify]: Simplify y into y 2.860 * [backup-simplify]: Simplify (+ 1 0) into 1 2.860 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.860 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.860 * [taylor]: Taking taylor expansion of y in y 2.860 * [backup-simplify]: Simplify 0 into 0 2.860 * [backup-simplify]: Simplify 1 into 1 2.861 * [backup-simplify]: Simplify (/ 1 1) into 1 2.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.861 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y)) 2.861 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y)) 2.862 * [backup-simplify]: Simplify (- (/ (- (/ 1 y)) y) (+ (* (/ 1 y) (/ 0 y)))) into (- (/ 1 (pow y 2))) 2.862 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.862 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.862 * [taylor]: Taking taylor expansion of y in y 2.862 * [backup-simplify]: Simplify 0 into 0 2.862 * [backup-simplify]: Simplify 1 into 1 2.862 * [backup-simplify]: Simplify (* 1 1) into 1 2.863 * [backup-simplify]: Simplify (/ 1 1) into 1 2.863 * [backup-simplify]: Simplify (- 1) into -1 2.863 * [backup-simplify]: Simplify -1 into -1 2.863 * [backup-simplify]: Simplify 1 into 1 2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.864 * [backup-simplify]: Simplify (- 0) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 0 y)))) into 0 2.865 * [taylor]: Taking taylor expansion of 0 in y 2.865 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.867 * [backup-simplify]: Simplify (- 0) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.869 * [backup-simplify]: Simplify (- 0) into 0 2.869 * [backup-simplify]: Simplify (+ 0 0) into 0 2.869 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.869 * [taylor]: Taking taylor expansion of 0 in y 2.869 * [backup-simplify]: Simplify 0 into 0 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.871 * [backup-simplify]: Simplify (- 0) into 0 2.871 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.873 * [backup-simplify]: Simplify (- 0) into 0 2.873 * [backup-simplify]: Simplify (+ 0 0) into 0 2.873 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ 1 y) (/ 0 y)) (* (- (/ 1 (pow y 2))) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.873 * [taylor]: Taking taylor expansion of 0 in y 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.875 * [backup-simplify]: Simplify (- 0) into 0 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (* x y) (pow y 2)) 2.875 * [backup-simplify]: Simplify (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y))) into (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) 2.875 * [approximate]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in (x y) around 0 2.875 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in y 2.875 * [taylor]: Taking taylor expansion of -1 in y 2.875 * [backup-simplify]: Simplify -1 into -1 2.875 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in y 2.875 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y 2.875 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.875 * [taylor]: Taking taylor expansion of y in y 2.875 * [backup-simplify]: Simplify 0 into 0 2.875 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [taylor]: Taking taylor expansion of (/ 1 x) in y 2.876 * [taylor]: Taking taylor expansion of x in y 2.876 * [backup-simplify]: Simplify x into x 2.876 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x) 2.876 * [taylor]: Taking taylor expansion of y in y 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.876 * [backup-simplify]: Simplify (+ 1 0) into 1 2.876 * [backup-simplify]: Simplify (/ 1 1) into 1 2.876 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in x 2.876 * [taylor]: Taking taylor expansion of -1 in x 2.876 * [backup-simplify]: Simplify -1 into -1 2.876 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in x 2.876 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.876 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.876 * [taylor]: Taking taylor expansion of y in x 2.876 * [backup-simplify]: Simplify y into y 2.876 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.876 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.876 * [taylor]: Taking taylor expansion of x in x 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (/ 1 1) into 1 2.877 * [taylor]: Taking taylor expansion of y in x 2.877 * [backup-simplify]: Simplify y into y 2.877 * [backup-simplify]: Simplify (- 1) into -1 2.877 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.877 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.877 * [taylor]: Taking taylor expansion of (* -1 (/ (- (/ 1 y) (/ 1 x)) y)) in x 2.877 * [taylor]: Taking taylor expansion of -1 in x 2.877 * [backup-simplify]: Simplify -1 into -1 2.877 * [taylor]: Taking taylor expansion of (/ (- (/ 1 y) (/ 1 x)) y) in x 2.877 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x 2.877 * [taylor]: Taking taylor expansion of (/ 1 y) in x 2.877 * [taylor]: Taking taylor expansion of y in x 2.877 * [backup-simplify]: Simplify y into y 2.877 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y) 2.877 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [taylor]: Taking taylor expansion of y in x 2.878 * [backup-simplify]: Simplify y into y 2.878 * [backup-simplify]: Simplify (- 1) into -1 2.878 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.878 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y) 2.878 * [backup-simplify]: Simplify (* -1 (/ -1 y)) into (/ 1 y) 2.878 * [taylor]: Taking taylor expansion of (/ 1 y) in y 2.878 * [taylor]: Taking taylor expansion of y in y 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.879 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.879 * [backup-simplify]: Simplify (- 0) into 0 2.879 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y) 2.880 * [backup-simplify]: Simplify (- (/ (/ 1 y) y) (+ (* (/ -1 y) (/ 0 y)))) into (/ 1 (pow y 2)) 2.880 * [backup-simplify]: Simplify (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ -1 y))) into (- (/ 1 (pow y 2))) 2.880 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.880 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.880 * [taylor]: Taking taylor expansion of y in y 2.880 * [backup-simplify]: Simplify 0 into 0 2.880 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (* 1 1) into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [backup-simplify]: Simplify (- 1) into -1 2.881 * [backup-simplify]: Simplify -1 into -1 2.881 * [backup-simplify]: Simplify 1 into 1 2.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0 2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.881 * [backup-simplify]: Simplify (- 0) into 0 2.882 * [backup-simplify]: Simplify (+ 0 0) into 0 2.882 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)))) into 0 2.882 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ 1 (pow y 2))) (* 0 (/ -1 y)))) into 0 2.882 * [taylor]: Taking taylor expansion of 0 in y 2.882 * [backup-simplify]: Simplify 0 into 0 2.883 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (- 0) into 0 2.883 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.884 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (- 0) into 0 2.885 * [backup-simplify]: Simplify (+ 0 0) into 0 2.885 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.886 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (* 0 (/ -1 y))))) into 0 2.886 * [taylor]: Taking taylor expansion of 0 in y 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.887 * [backup-simplify]: Simplify (- 0) into 0 2.887 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.888 * [backup-simplify]: Simplify (- 0) into 0 2.889 * [backup-simplify]: Simplify (+ 0 0) into 0 2.889 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* (/ 1 (pow y 2)) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0 2.890 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (* 0 (/ -1 y)))))) into 0 2.890 * [taylor]: Taking taylor expansion of 0 in y 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify 0 into 0 2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (- 0) into 0 2.891 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (* x y) (pow y 2)) 2.892 * * * * [progress]: [ 3 / 4 ] generating series at (2) 2.892 * [backup-simplify]: Simplify (log (exp (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))))) into (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) 2.892 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in (x y) around 0 2.892 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in y 2.892 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.892 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.892 * [taylor]: Taking taylor expansion of x in y 2.892 * [backup-simplify]: Simplify x into x 2.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.892 * [taylor]: Taking taylor expansion of y in y 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y 2.892 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.892 * [taylor]: Taking taylor expansion of x in y 2.892 * [backup-simplify]: Simplify x into x 2.892 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.892 * [taylor]: Taking taylor expansion of y in y 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.892 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.892 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.892 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2) 2.893 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 2.893 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 2.893 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.893 * [taylor]: Taking taylor expansion of y in x 2.893 * [backup-simplify]: Simplify y into y 2.893 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.893 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.893 * [taylor]: Taking taylor expansion of y in x 2.893 * [backup-simplify]: Simplify y into y 2.893 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.893 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.893 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.893 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.893 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.893 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 2.893 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (pow y 2)) (+ (pow x 2) (pow y 2))) in x 2.893 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.893 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.893 * [taylor]: Taking taylor expansion of x in x 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.894 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [backup-simplify]: Simplify y into y 2.894 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x 2.894 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.894 * [taylor]: Taking taylor expansion of x in x 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify 1 into 1 2.894 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.894 * [taylor]: Taking taylor expansion of y in x 2.894 * [backup-simplify]: Simplify y into y 2.894 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.894 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.894 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.894 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.894 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2) 2.894 * [backup-simplify]: Simplify (/ (- (pow y 2)) (pow y 2)) into -1 2.894 * [taylor]: Taking taylor expansion of -1 in y 2.894 * [backup-simplify]: Simplify -1 into -1 2.894 * [backup-simplify]: Simplify -1 into -1 2.894 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.895 * [backup-simplify]: Simplify (- 0) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.895 * [backup-simplify]: Simplify (+ 0 0) into 0 2.895 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0 2.895 * [taylor]: Taking taylor expansion of 0 in y 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (* 1 1) into 1 2.896 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.896 * [backup-simplify]: Simplify (- 0) into 0 2.896 * [backup-simplify]: Simplify (+ 1 0) into 1 2.897 * [backup-simplify]: Simplify (* 1 1) into 1 2.897 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.897 * [backup-simplify]: Simplify (+ 1 0) into 1 2.898 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2))) 2.898 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.898 * [taylor]: Taking taylor expansion of 2 in y 2.898 * [backup-simplify]: Simplify 2 into 2 2.898 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.898 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.898 * [taylor]: Taking taylor expansion of y in y 2.898 * [backup-simplify]: Simplify 0 into 0 2.898 * [backup-simplify]: Simplify 1 into 1 2.898 * [backup-simplify]: Simplify (* 1 1) into 1 2.898 * [backup-simplify]: Simplify (/ 1 1) into 1 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.904 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.904 * [backup-simplify]: Simplify (- 0) into 0 2.905 * [backup-simplify]: Simplify (+ 0 0) into 0 2.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.905 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [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 2.906 * [taylor]: Taking taylor expansion of 0 in y 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify 0 into 0 2.906 * [backup-simplify]: Simplify -1 into -1 2.907 * [backup-simplify]: Simplify (log (exp (/ (+ (* (- (/ 1 x) (/ 1 y)) (/ 1 x)) (* (- (/ 1 x) (/ 1 y)) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.907 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.907 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.907 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.907 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.907 * [taylor]: Taking taylor expansion of x in y 2.907 * [backup-simplify]: Simplify x into x 2.907 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.907 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.907 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.907 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.907 * [taylor]: Taking taylor expansion of y in y 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 1 into 1 2.907 * [backup-simplify]: Simplify (* 1 1) into 1 2.908 * [backup-simplify]: Simplify (/ 1 1) into 1 2.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.908 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.908 * [taylor]: Taking taylor expansion of x in y 2.908 * [backup-simplify]: Simplify x into x 2.908 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.908 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.908 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.908 * [taylor]: Taking taylor expansion of y in y 2.908 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify 1 into 1 2.908 * [backup-simplify]: Simplify (* 1 1) into 1 2.909 * [backup-simplify]: Simplify (/ 1 1) into 1 2.909 * [backup-simplify]: Simplify (- 1) into -1 2.909 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.909 * [backup-simplify]: Simplify (+ 0 1) into 1 2.910 * [backup-simplify]: Simplify (/ -1 1) into -1 2.910 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.910 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.910 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.910 * [taylor]: Taking taylor expansion of x in x 2.910 * [backup-simplify]: Simplify 0 into 0 2.910 * [backup-simplify]: Simplify 1 into 1 2.910 * [backup-simplify]: Simplify (* 1 1) into 1 2.910 * [backup-simplify]: Simplify (/ 1 1) into 1 2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.910 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.910 * [taylor]: Taking taylor expansion of y in x 2.910 * [backup-simplify]: Simplify y into y 2.910 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.910 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.911 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.911 * [taylor]: Taking taylor expansion of x in x 2.911 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify 1 into 1 2.911 * [backup-simplify]: Simplify (* 1 1) into 1 2.911 * [backup-simplify]: Simplify (/ 1 1) into 1 2.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.911 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.911 * [taylor]: Taking taylor expansion of y in x 2.911 * [backup-simplify]: Simplify y into y 2.911 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.911 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.912 * [backup-simplify]: Simplify (+ 1 0) into 1 2.912 * [backup-simplify]: Simplify (+ 1 0) into 1 2.912 * [backup-simplify]: Simplify (/ 1 1) into 1 2.912 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.912 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.912 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.912 * [taylor]: Taking taylor expansion of x in x 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.912 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.913 * [taylor]: Taking taylor expansion of y in x 2.913 * [backup-simplify]: Simplify y into y 2.913 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.913 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.913 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (/ 1 1) into 1 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.913 * [taylor]: Taking taylor expansion of y in x 2.914 * [backup-simplify]: Simplify y into y 2.914 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.914 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (+ 1 0) into 1 2.914 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [taylor]: Taking taylor expansion of 1 in y 2.914 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify 1 into 1 2.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.916 * [backup-simplify]: Simplify (+ 0 0) into 0 2.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.917 * [backup-simplify]: Simplify (+ 0 0) into 0 2.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.917 * [taylor]: Taking taylor expansion of 0 in y 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify 0 into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.918 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.919 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.920 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.921 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 2.921 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.921 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.921 * [taylor]: Taking taylor expansion of 2 in y 2.921 * [backup-simplify]: Simplify 2 into 2 2.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.921 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.921 * [taylor]: Taking taylor expansion of y in y 2.921 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify 1 into 1 2.922 * [backup-simplify]: Simplify (* 1 1) into 1 2.922 * [backup-simplify]: Simplify (/ 1 1) into 1 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.926 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.926 * [backup-simplify]: Simplify (- 0) into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 0 into 0 2.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.928 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.929 * [backup-simplify]: Simplify (- 0) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.931 * [backup-simplify]: Simplify (+ 0 0) into 0 2.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.933 * [taylor]: Taking taylor expansion of 0 in y 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 0 into 0 2.933 * [backup-simplify]: Simplify 1 into 1 2.934 * [backup-simplify]: Simplify (log (exp (/ (+ (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))))) into (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2.934 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0 2.934 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y 2.934 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.934 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.934 * [taylor]: Taking taylor expansion of x in y 2.934 * [backup-simplify]: Simplify x into x 2.934 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.934 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.934 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.935 * [taylor]: Taking taylor expansion of y in y 2.935 * [backup-simplify]: Simplify 0 into 0 2.935 * [backup-simplify]: Simplify 1 into 1 2.935 * [backup-simplify]: Simplify (* 1 1) into 1 2.935 * [backup-simplify]: Simplify (/ 1 1) into 1 2.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.935 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.935 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.935 * [taylor]: Taking taylor expansion of x in y 2.935 * [backup-simplify]: Simplify x into x 2.935 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.936 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.936 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.936 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.936 * [taylor]: Taking taylor expansion of y in y 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify 1 into 1 2.936 * [backup-simplify]: Simplify (* 1 1) into 1 2.936 * [backup-simplify]: Simplify (/ 1 1) into 1 2.937 * [backup-simplify]: Simplify (- 1) into -1 2.937 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.938 * [backup-simplify]: Simplify (+ 0 1) into 1 2.938 * [backup-simplify]: Simplify (/ -1 1) into -1 2.938 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.938 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.938 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.938 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.938 * [taylor]: Taking taylor expansion of x in x 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 1 into 1 2.938 * [backup-simplify]: Simplify (* 1 1) into 1 2.939 * [backup-simplify]: Simplify (/ 1 1) into 1 2.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.939 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.939 * [taylor]: Taking taylor expansion of y in x 2.939 * [backup-simplify]: Simplify y into y 2.939 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.939 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.939 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.939 * [taylor]: Taking taylor expansion of x in x 2.939 * [backup-simplify]: Simplify 0 into 0 2.939 * [backup-simplify]: Simplify 1 into 1 2.940 * [backup-simplify]: Simplify (* 1 1) into 1 2.940 * [backup-simplify]: Simplify (/ 1 1) into 1 2.940 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.940 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.940 * [taylor]: Taking taylor expansion of y in x 2.940 * [backup-simplify]: Simplify y into y 2.940 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.940 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.941 * [backup-simplify]: Simplify (+ 1 0) into 1 2.941 * [backup-simplify]: Simplify (+ 1 0) into 1 2.941 * [backup-simplify]: Simplify (/ 1 1) into 1 2.941 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x 2.941 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.941 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.942 * [taylor]: Taking taylor expansion of x in x 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (* 1 1) into 1 2.942 * [backup-simplify]: Simplify (/ 1 1) into 1 2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.942 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.942 * [taylor]: Taking taylor expansion of y in x 2.942 * [backup-simplify]: Simplify y into y 2.942 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.943 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.943 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.943 * [taylor]: Taking taylor expansion of x in x 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 1 into 1 2.943 * [backup-simplify]: Simplify (* 1 1) into 1 2.943 * [backup-simplify]: Simplify (/ 1 1) into 1 2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.943 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.943 * [taylor]: Taking taylor expansion of y in x 2.944 * [backup-simplify]: Simplify y into y 2.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.944 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.944 * [backup-simplify]: Simplify (+ 1 0) into 1 2.944 * [backup-simplify]: Simplify (+ 1 0) into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.945 * [taylor]: Taking taylor expansion of 1 in y 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ 0 0) into 0 2.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.949 * [taylor]: Taking taylor expansion of 0 in y 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 0 into 0 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.951 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.953 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2)) 2.954 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2)))) 2.954 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y 2.954 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y 2.954 * [taylor]: Taking taylor expansion of 2 in y 2.954 * [backup-simplify]: Simplify 2 into 2 2.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.954 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.954 * [taylor]: Taking taylor expansion of y in y 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify 1 into 1 2.954 * [backup-simplify]: Simplify (* 1 1) into 1 2.954 * [backup-simplify]: Simplify (/ 1 1) into 1 2.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.958 * [backup-simplify]: Simplify (- 0) into 0 2.958 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.961 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.961 * [backup-simplify]: Simplify (- 0) into 0 2.962 * [backup-simplify]: Simplify (+ 0 0) into 0 2.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.963 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.964 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.964 * [backup-simplify]: Simplify (+ 0 0) into 0 2.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0 2.965 * [taylor]: Taking taylor expansion of 0 in y 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.965 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1) 2.965 * [backup-simplify]: Simplify (+ (* (- x y) x) (* (- x y) y)) into (- (pow x 2) (pow y 2)) 2.965 * [approximate]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in (x y) around 0 2.965 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in y 2.965 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.965 * [taylor]: Taking taylor expansion of x in y 2.965 * [backup-simplify]: Simplify x into x 2.965 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.965 * [taylor]: Taking taylor expansion of y in y 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.966 * [taylor]: Taking taylor expansion of y in x 2.966 * [backup-simplify]: Simplify y into y 2.966 * [taylor]: Taking taylor expansion of (- (pow x 2) (pow y 2)) in x 2.966 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.966 * [taylor]: Taking taylor expansion of x in x 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.966 * [taylor]: Taking taylor expansion of y in x 2.966 * [backup-simplify]: Simplify y into y 2.966 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.966 * [backup-simplify]: Simplify (- (pow y 2)) into (- (pow y 2)) 2.966 * [backup-simplify]: Simplify (+ 0 (- (pow y 2))) into (- (pow y 2)) 2.966 * [taylor]: Taking taylor expansion of (- (pow y 2)) in y 2.966 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.966 * [taylor]: Taking taylor expansion of y in y 2.966 * [backup-simplify]: Simplify 0 into 0 2.966 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.966 * [backup-simplify]: Simplify (- 0) into 0 2.967 * [backup-simplify]: Simplify (+ 0 0) into 0 2.967 * [taylor]: Taking taylor expansion of 0 in y 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify 0 into 0 2.967 * [backup-simplify]: Simplify (* 1 1) into 1 2.967 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.967 * [backup-simplify]: Simplify (- 0) into 0 2.968 * [backup-simplify]: Simplify (+ 1 0) into 1 2.968 * [taylor]: Taking taylor expansion of 1 in y 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify 1 into 1 2.968 * [backup-simplify]: Simplify 0 into 0 2.968 * [backup-simplify]: Simplify (* 1 1) into 1 2.968 * [backup-simplify]: Simplify (- 1) into -1 2.968 * [backup-simplify]: Simplify -1 into -1 2.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.969 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.969 * [backup-simplify]: Simplify (- 0) into 0 2.970 * [backup-simplify]: Simplify (+ 0 0) into 0 2.970 * [taylor]: Taking taylor expansion of 0 in y 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.970 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.971 * [backup-simplify]: Simplify (- 0) into 0 2.971 * [backup-simplify]: Simplify 0 into 0 2.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.972 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.972 * [backup-simplify]: Simplify (- 0) into 0 2.972 * [backup-simplify]: Simplify (+ 0 0) into 0 2.972 * [taylor]: Taking taylor expansion of 0 in y 2.972 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify (+ (* -1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (pow y 2)) 2.973 * [backup-simplify]: Simplify (+ (* (- (/ 1 x) (/ 1 y)) (/ 1 x)) (* (- (/ 1 x) (/ 1 y)) (/ 1 y))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.973 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.973 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.973 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.973 * [taylor]: Taking taylor expansion of x in y 2.973 * [backup-simplify]: Simplify x into x 2.973 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.973 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.973 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.973 * [taylor]: Taking taylor expansion of y in y 2.973 * [backup-simplify]: Simplify 0 into 0 2.973 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.974 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.974 * [taylor]: Taking taylor expansion of x in x 2.974 * [backup-simplify]: Simplify 0 into 0 2.974 * [backup-simplify]: Simplify 1 into 1 2.974 * [backup-simplify]: Simplify (* 1 1) into 1 2.974 * [backup-simplify]: Simplify (/ 1 1) into 1 2.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.974 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.974 * [taylor]: Taking taylor expansion of y in x 2.975 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.975 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.975 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.975 * [taylor]: Taking taylor expansion of x in x 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.975 * [backup-simplify]: Simplify (* 1 1) into 1 2.975 * [backup-simplify]: Simplify (/ 1 1) into 1 2.975 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.975 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.975 * [taylor]: Taking taylor expansion of y in x 2.975 * [backup-simplify]: Simplify y into y 2.975 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.975 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.976 * [backup-simplify]: Simplify (+ 1 0) into 1 2.976 * [taylor]: Taking taylor expansion of 1 in y 2.976 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.977 * [backup-simplify]: Simplify (+ 0 0) into 0 2.977 * [taylor]: Taking taylor expansion of 0 in y 2.977 * [backup-simplify]: Simplify 0 into 0 2.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.979 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.979 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.979 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.980 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.980 * [taylor]: Taking taylor expansion of y in y 2.980 * [backup-simplify]: Simplify 0 into 0 2.980 * [backup-simplify]: Simplify 1 into 1 2.980 * [backup-simplify]: Simplify (* 1 1) into 1 2.980 * [backup-simplify]: Simplify (/ 1 1) into 1 2.981 * [backup-simplify]: Simplify (- 1) into -1 2.981 * [backup-simplify]: Simplify -1 into -1 2.981 * [backup-simplify]: Simplify 1 into 1 2.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.983 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.983 * [backup-simplify]: Simplify (- 0) into 0 2.983 * [backup-simplify]: Simplify (+ 0 0) into 0 2.983 * [taylor]: Taking taylor expansion of 0 in y 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (- 0) into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.985 * [backup-simplify]: Simplify 0 into 0 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.988 * [backup-simplify]: Simplify (- 0) into 0 2.988 * [backup-simplify]: Simplify (+ 0 0) into 0 2.989 * [taylor]: Taking taylor expansion of 0 in y 2.989 * [backup-simplify]: Simplify 0 into 0 2.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify 0 into 0 2.991 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* -1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (pow y 2)) 2.992 * [backup-simplify]: Simplify (+ (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- x))) (* (- (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) 2.992 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0 2.992 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y 2.992 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.992 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.992 * [taylor]: Taking taylor expansion of x in y 2.992 * [backup-simplify]: Simplify x into x 2.992 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.992 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.992 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.992 * [taylor]: Taking taylor expansion of y in y 2.992 * [backup-simplify]: Simplify 0 into 0 2.992 * [backup-simplify]: Simplify 1 into 1 2.992 * [backup-simplify]: Simplify (* 1 1) into 1 2.993 * [backup-simplify]: Simplify (/ 1 1) into 1 2.993 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.993 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.993 * [taylor]: Taking taylor expansion of x in x 2.993 * [backup-simplify]: Simplify 0 into 0 2.993 * [backup-simplify]: Simplify 1 into 1 2.993 * [backup-simplify]: Simplify (* 1 1) into 1 2.994 * [backup-simplify]: Simplify (/ 1 1) into 1 2.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.994 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.994 * [taylor]: Taking taylor expansion of y in x 2.994 * [backup-simplify]: Simplify y into y 2.994 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.994 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x 2.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.994 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.994 * [taylor]: Taking taylor expansion of x in x 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (* 1 1) into 1 2.995 * [backup-simplify]: Simplify (/ 1 1) into 1 2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.995 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.995 * [taylor]: Taking taylor expansion of y in x 2.995 * [backup-simplify]: Simplify y into y 2.995 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.995 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.996 * [backup-simplify]: Simplify (+ 1 0) into 1 2.996 * [taylor]: Taking taylor expansion of 1 in y 2.996 * [backup-simplify]: Simplify 1 into 1 2.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.997 * [backup-simplify]: Simplify (+ 0 0) into 0 2.997 * [taylor]: Taking taylor expansion of 0 in y 2.997 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.999 * [backup-simplify]: Simplify (- (/ 1 (pow y 2))) into (- (/ 1 (pow y 2))) 2.999 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow y 2)))) into (- (/ 1 (pow y 2))) 2.999 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.999 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.999 * [taylor]: Taking taylor expansion of y in y 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (* 1 1) into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [backup-simplify]: Simplify (- 1) into -1 3.001 * [backup-simplify]: Simplify -1 into -1 3.001 * [backup-simplify]: Simplify 1 into 1 3.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 3.003 * [backup-simplify]: Simplify (- 0) into 0 3.004 * [backup-simplify]: Simplify (+ 0 0) into 0 3.004 * [taylor]: Taking taylor expansion of 0 in y 3.004 * [backup-simplify]: Simplify 0 into 0 3.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.006 * [backup-simplify]: Simplify (- 0) into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.006 * [backup-simplify]: Simplify 0 into 0 3.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.008 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 3.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 3.009 * [backup-simplify]: Simplify (- 0) into 0 3.009 * [backup-simplify]: Simplify (+ 0 0) into 0 3.009 * [taylor]: Taking taylor expansion of 0 in y 3.009 * [backup-simplify]: Simplify 0 into 0 3.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.011 * [backup-simplify]: Simplify (- 0) into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.011 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify 0 into 0 3.012 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (pow y 2)) 3.012 * * * [progress]: simplifying candidates 3.015 * [simplify]: Simplifying: (- (log (+ (* (- x y) x) (* (- x y) y))) (log (+ (* x x) (* y y)))) (log (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (exp (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (/ (* (* (+ (* (- x y) x) (* (- x y) y)) (+ (* (- x y) x) (* (- x y) y))) (+ (* (- x y) x) (* (- x y) y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))))) (cbrt (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y)))) (* (* (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x x) (* y y))) (/ (+ (* (- x y) x) (* (- x y) y)) (+ (* x 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Extracting. 3.453 * * [regime]: Finding splitpoints for: (# # # # #) 3.454 * * * [regime-changes]: Trying 2 branch expressions: (y x) 3.454 * * * * [regimes]: Trying to branch on y from (# # # # #) 3.514 * * * * [regimes]: Trying to branch on x from (# # # # #) 3.580 * * * [regime]: Found split indices: #