22.700 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.025 * * * [progress]: [2/2] Setting up program.
0.027 * [progress]: [Phase 2 of 3] Improving.
0.027 * [simplify]: Simplifying:
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
0.027 * [simplify]: Sending expressions to egg_math:
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0)))
0.174 * * [progress]: iteration 1 / 4
0.174 * * * [progress]: picking best candidate
0.175 * * * * [pick]: Picked  #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))>
0.175 * * * [progress]: localizing error
0.184 * * * [progress]: generating rewritten candidates
0.184 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.221 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.230 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.241 * * * [progress]: generating series expansions
0.241 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.241 * [backup-simplify]: Simplify (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) into (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2))))
0.242 * [approximate]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
0.242 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
0.242 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.242 * [taylor]: Taking taylor expansion of x in y
0.242 * [backup-simplify]: Simplify x into x
0.242 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.242 * [taylor]: Taking taylor expansion of 4.0 in y
0.242 * [backup-simplify]: Simplify 4.0 into 4.0
0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.242 * [taylor]: Taking taylor expansion of y in y
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
0.242 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.242 * [taylor]: Taking taylor expansion of x in y
0.242 * [backup-simplify]: Simplify x into x
0.242 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.242 * [taylor]: Taking taylor expansion of 4.0 in y
0.242 * [backup-simplify]: Simplify 4.0 into 4.0
0.242 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.242 * [taylor]: Taking taylor expansion of y in y
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.242 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.242 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.243 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.243 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
0.243 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
0.243 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.243 * [taylor]: Taking taylor expansion of x in x
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.243 * [taylor]: Taking taylor expansion of 4.0 in x
0.243 * [backup-simplify]: Simplify 4.0 into 4.0
0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.243 * [taylor]: Taking taylor expansion of y in x
0.243 * [backup-simplify]: Simplify y into y
0.243 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
0.243 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.243 * [taylor]: Taking taylor expansion of x in x
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.243 * [taylor]: Taking taylor expansion of 4.0 in x
0.243 * [backup-simplify]: Simplify 4.0 into 4.0
0.243 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.243 * [taylor]: Taking taylor expansion of y in x
0.243 * [backup-simplify]: Simplify y into y
0.243 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.243 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.244 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.244 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.244 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.244 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.244 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
0.244 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
0.244 * [taylor]: Taking taylor expansion of (/ (- (pow x 2) (* 4.0 (pow y 2))) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
0.244 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.245 * [taylor]: Taking taylor expansion of 4.0 in x
0.245 * [backup-simplify]: Simplify 4.0 into 4.0
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.245 * [taylor]: Taking taylor expansion of y in x
0.245 * [backup-simplify]: Simplify y into y
0.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.245 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.245 * [taylor]: Taking taylor expansion of 4.0 in x
0.245 * [backup-simplify]: Simplify 4.0 into 4.0
0.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.245 * [taylor]: Taking taylor expansion of y in x
0.245 * [backup-simplify]: Simplify y into y
0.245 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.245 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.245 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.246 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.246 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.246 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.246 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
0.246 * [backup-simplify]: Simplify (/ (- (* 4.0 (pow y 2))) (* 4.0 (pow y 2))) into -1.0
0.246 * [taylor]: Taking taylor expansion of -1.0 in y
0.246 * [backup-simplify]: Simplify -1.0 into -1.0
0.246 * [backup-simplify]: Simplify -1.0 into -1.0
0.246 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.247 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.247 * [backup-simplify]: Simplify (- 0) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.248 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))))) into 0
0.249 * [taylor]: Taking taylor expansion of 0 in y
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (* 1 1) into 1
0.250 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.251 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.251 * [backup-simplify]: Simplify (- 0) into 0
0.251 * [backup-simplify]: Simplify (+ 1 0) into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.253 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.253 * [backup-simplify]: Simplify (+ 1 0) into 1
0.254 * [backup-simplify]: Simplify (- (/ 1 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (* 0.5 (/ 1 (pow y 2)))
0.254 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
0.254 * [taylor]: Taking taylor expansion of 0.5 in y
0.254 * [backup-simplify]: Simplify 0.5 into 0.5
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.254 * [taylor]: Taking taylor expansion of y in y
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
0.257 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.259 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.260 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.260 * [backup-simplify]: Simplify (- 0) into 0
0.260 * [backup-simplify]: Simplify (+ 0 0) into 0
0.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.262 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.263 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* -1.0 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (* 0.5 (/ 1 (pow y 2))) (/ 0 (* 4.0 (pow y 2)))))) into 0
0.263 * [taylor]: Taking taylor expansion of 0 in y
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify 0 into 0
0.263 * [backup-simplify]: Simplify -1.0 into -1.0
0.264 * [backup-simplify]: Simplify (/ (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
0.264 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
0.264 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
0.264 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 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 (* 4.0 (/ 1 (pow y 2))) in y
0.264 * [taylor]: Taking taylor expansion of 4.0 in y
0.264 * [backup-simplify]: Simplify 4.0 into 4.0
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
0.265 * [backup-simplify]: Simplify (* 1 1) into 1
0.265 * [backup-simplify]: Simplify (/ 1 1) into 1
0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.265 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.265 * [taylor]: Taking taylor expansion of x in y
0.265 * [backup-simplify]: Simplify x into x
0.265 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.265 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.265 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.265 * [taylor]: Taking taylor expansion of 4.0 in y
0.265 * [backup-simplify]: Simplify 4.0 into 4.0
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.266 * [taylor]: Taking taylor expansion of y in y
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (* 1 1) into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.266 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.267 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.267 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
0.268 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.268 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
0.269 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
0.269 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
0.269 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.269 * [taylor]: Taking taylor expansion of (pow x 2) 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
0.270 * [backup-simplify]: Simplify (/ 1 1) into 1
0.270 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.270 * [taylor]: Taking taylor expansion of 4.0 in x
0.270 * [backup-simplify]: Simplify 4.0 into 4.0
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)
0.270 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 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
0.271 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.271 * [taylor]: Taking taylor expansion of 4.0 in x
0.271 * [backup-simplify]: Simplify 4.0 into 4.0
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.271 * [taylor]: Taking taylor expansion of y in x
0.271 * [backup-simplify]: Simplify y into y
0.271 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.272 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
0.272 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.272 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.272 * [taylor]: Taking taylor expansion of x in x
0.272 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.273 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (/ 1 1) into 1
0.273 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.273 * [taylor]: Taking taylor expansion of 4.0 in x
0.273 * [backup-simplify]: Simplify 4.0 into 4.0
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.273 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.273 * [taylor]: Taking taylor expansion of y in x
0.273 * [backup-simplify]: Simplify y into y
0.273 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.273 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.273 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.273 * [taylor]: Taking taylor expansion of x in x
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (* 1 1) into 1
0.274 * [backup-simplify]: Simplify (/ 1 1) into 1
0.274 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.274 * [taylor]: Taking taylor expansion of 4.0 in x
0.274 * [backup-simplify]: Simplify 4.0 into 4.0
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.274 * [taylor]: Taking taylor expansion of y in x
0.274 * [backup-simplify]: Simplify y into y
0.274 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.274 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.274 * [backup-simplify]: Simplify (+ 1 0) into 1
0.275 * [backup-simplify]: Simplify (+ 1 0) into 1
0.275 * [backup-simplify]: Simplify (/ 1 1) into 1
0.275 * [taylor]: Taking taylor expansion of 1 in y
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
0.278 * [taylor]: Taking taylor expansion of 0 in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.279 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.279 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.280 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.280 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
0.281 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2))))
0.281 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
0.281 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
0.281 * [taylor]: Taking taylor expansion of 8.0 in y
0.281 * [backup-simplify]: Simplify 8.0 into 8.0
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.281 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.281 * [taylor]: Taking taylor expansion of y in y
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify (/ 1 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
0.285 * [backup-simplify]: Simplify (- 0) into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.287 * [backup-simplify]: Simplify (- 0) into 0
0.287 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.289 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
0.291 * [taylor]: Taking taylor expansion of 0 in y
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))
0.291 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in (x y) around 0
0.291 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
0.291 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.291 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.291 * [taylor]: Taking taylor expansion of x in y
0.291 * [backup-simplify]: Simplify x into x
0.291 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.291 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.291 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.291 * [taylor]: Taking taylor expansion of 4.0 in y
0.291 * [backup-simplify]: Simplify 4.0 into 4.0
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.291 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.291 * [taylor]: Taking taylor expansion of y in y
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (* 1 1) into 1
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.292 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.292 * [taylor]: Taking taylor expansion of x in y
0.292 * [backup-simplify]: Simplify x into x
0.292 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.292 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.292 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.292 * [taylor]: Taking taylor expansion of 4.0 in y
0.292 * [backup-simplify]: Simplify 4.0 into 4.0
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.292 * [taylor]: Taking taylor expansion of y in y
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.293 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.294 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
0.294 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.295 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
0.295 * [backup-simplify]: Simplify (/ (- 4.0) 4.0) into -1.0
0.295 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
0.295 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.296 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.296 * [taylor]: Taking taylor expansion of x in x
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.296 * [taylor]: Taking taylor expansion of 4.0 in x
0.296 * [backup-simplify]: Simplify 4.0 into 4.0
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.296 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.296 * [taylor]: Taking taylor expansion of y in x
0.296 * [backup-simplify]: Simplify y into y
0.296 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.297 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.297 * [taylor]: Taking taylor expansion of x in x
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (* 1 1) into 1
0.297 * [backup-simplify]: Simplify (/ 1 1) into 1
0.297 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.297 * [taylor]: Taking taylor expansion of 4.0 in x
0.297 * [backup-simplify]: Simplify 4.0 into 4.0
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.298 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.298 * [taylor]: Taking taylor expansion of y in x
0.298 * [backup-simplify]: Simplify y into y
0.298 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.298 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.298 * [backup-simplify]: Simplify (+ 1 0) into 1
0.298 * [backup-simplify]: Simplify (+ 1 0) into 1
0.299 * [backup-simplify]: Simplify (/ 1 1) into 1
0.299 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
0.299 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.299 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.299 * [taylor]: Taking taylor expansion of x in x
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.300 * [backup-simplify]: Simplify (/ 1 1) into 1
0.300 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.300 * [taylor]: Taking taylor expansion of 4.0 in x
0.300 * [backup-simplify]: Simplify 4.0 into 4.0
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.300 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.300 * [taylor]: Taking taylor expansion of y in x
0.300 * [backup-simplify]: Simplify y into y
0.300 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.300 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.300 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.300 * [taylor]: Taking taylor expansion of x in x
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 (* 4.0 (/ 1 (pow y 2))) in x
0.301 * [taylor]: Taking taylor expansion of 4.0 in x
0.301 * [backup-simplify]: Simplify 4.0 into 4.0
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 * [backup-simplify]: Simplify (+ 1 0) into 1
0.301 * [backup-simplify]: Simplify (+ 1 0) into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.302 * [taylor]: Taking taylor expansion of 1 in y
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) 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 0 into 0
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.306 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.306 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.308 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.308 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
0.309 * [backup-simplify]: Simplify (- (/ (- (* 4.0 (/ 1 (pow y 2)))) 1) (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 8.0 (/ 1 (pow y 2))))
0.309 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
0.309 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
0.309 * [taylor]: Taking taylor expansion of 8.0 in y
0.309 * [backup-simplify]: Simplify 8.0 into 8.0
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.309 * [taylor]: Taking taylor expansion of y in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 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 0 into 0
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.322 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.323 * [backup-simplify]: Simplify (- 0) into 0
0.324 * [backup-simplify]: Simplify (+ 0 0) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 8.0 (/ 1 (pow y 2)))) (/ 0 1)))) 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 1 into 1
0.328 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.329 * [backup-simplify]: Simplify (- (* x x) (* (* y 4.0) y)) into (- (pow x 2) (* 4.0 (pow y 2)))
0.329 * [approximate]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
0.329 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in y
0.329 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.329 * [taylor]: Taking taylor expansion of x in y
0.329 * [backup-simplify]: Simplify x into x
0.329 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.329 * [taylor]: Taking taylor expansion of 4.0 in y
0.329 * [backup-simplify]: Simplify 4.0 into 4.0
0.329 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.329 * [taylor]: Taking taylor expansion of y in y
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.329 * [taylor]: Taking taylor expansion of x in x
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.329 * [taylor]: Taking taylor expansion of 4.0 in x
0.329 * [backup-simplify]: Simplify 4.0 into 4.0
0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.329 * [taylor]: Taking taylor expansion of y in x
0.329 * [backup-simplify]: Simplify y into y
0.329 * [taylor]: Taking taylor expansion of (- (pow x 2) (* 4.0 (pow y 2))) in x
0.329 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.329 * [taylor]: Taking taylor expansion of x in x
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.329 * [taylor]: Taking taylor expansion of 4.0 in x
0.329 * [backup-simplify]: Simplify 4.0 into 4.0
0.329 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.329 * [taylor]: Taking taylor expansion of y in x
0.329 * [backup-simplify]: Simplify y into y
0.330 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.330 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.330 * [backup-simplify]: Simplify (- (* 4.0 (pow y 2))) into (- (* 4.0 (pow y 2)))
0.330 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (pow y 2)))) into (- (* 4.0 (pow y 2)))
0.330 * [taylor]: Taking taylor expansion of (- (* 4.0 (pow y 2))) in y
0.330 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.330 * [taylor]: Taking taylor expansion of 4.0 in y
0.330 * [backup-simplify]: Simplify 4.0 into 4.0
0.330 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.330 * [taylor]: Taking taylor expansion of y in y
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.331 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.331 * [backup-simplify]: Simplify (- 0) into 0
0.332 * [backup-simplify]: Simplify (+ 0 0) into 0
0.332 * [taylor]: Taking taylor expansion of 0 in y
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.333 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.333 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.334 * [backup-simplify]: Simplify (- 0) into 0
0.334 * [backup-simplify]: Simplify (+ 1 0) into 1
0.334 * [taylor]: Taking taylor expansion of 1 in y
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify 0 into 0
0.335 * [backup-simplify]: Simplify (* 1 1) into 1
0.335 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.335 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.336 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.337 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.338 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.338 * [backup-simplify]: Simplify (- 0) into 0
0.339 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in y
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (- 0) into 0
0.340 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.342 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.344 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
0.344 * [backup-simplify]: Simplify (- 0) into 0
0.344 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [taylor]: Taking taylor expansion of 0 in y
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ (* (- 4.0) (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
0.345 * [backup-simplify]: Simplify (- (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.346 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.346 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.346 * [taylor]: Taking taylor expansion of x in y
0.346 * [backup-simplify]: Simplify x into x
0.346 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.346 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.346 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.346 * [taylor]: Taking taylor expansion of 4.0 in y
0.346 * [backup-simplify]: Simplify 4.0 into 4.0
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.346 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.346 * [taylor]: Taking taylor expansion of y in y
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (* 1 1) into 1
0.347 * [backup-simplify]: Simplify (/ 1 1) into 1
0.347 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.347 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.347 * [taylor]: Taking taylor expansion of x in x
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 1 into 1
0.347 * [backup-simplify]: Simplify (* 1 1) into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.348 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.348 * [taylor]: Taking taylor expansion of 4.0 in x
0.348 * [backup-simplify]: Simplify 4.0 into 4.0
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.348 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.348 * [taylor]: Taking taylor expansion of y in x
0.348 * [backup-simplify]: Simplify y into y
0.348 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.348 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.348 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.348 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.348 * [taylor]: Taking taylor expansion of x in x
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.349 * [backup-simplify]: Simplify (/ 1 1) into 1
0.349 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.349 * [taylor]: Taking taylor expansion of 4.0 in x
0.349 * [backup-simplify]: Simplify 4.0 into 4.0
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.349 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.349 * [taylor]: Taking taylor expansion of y in x
0.349 * [backup-simplify]: Simplify y into y
0.349 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.349 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.350 * [backup-simplify]: Simplify (+ 1 0) into 1
0.350 * [taylor]: Taking taylor expansion of 1 in y
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ 0 0) into 0
0.351 * [taylor]: Taking taylor expansion of 0 in y
0.351 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.353 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.353 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.353 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.353 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
0.353 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.353 * [taylor]: Taking taylor expansion of 4.0 in y
0.353 * [backup-simplify]: Simplify 4.0 into 4.0
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.354 * [taylor]: Taking taylor expansion of y in y
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.355 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.355 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.355 * [backup-simplify]: Simplify 1 into 1
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.358 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.358 * [backup-simplify]: Simplify (- 0) into 0
0.359 * [backup-simplify]: Simplify (+ 0 0) into 0
0.359 * [taylor]: Taking taylor expansion of 0 in y
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify (- 0) into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.364 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.365 * [backup-simplify]: Simplify (- 0) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [taylor]: Taking taylor expansion of 0 in y
0.365 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.367 * [backup-simplify]: Simplify (- 0) into 0
0.367 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 y)) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
0.369 * [backup-simplify]: Simplify (- (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.369 * [approximate]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.369 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.369 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.369 * [taylor]: Taking taylor expansion of x in y
0.369 * [backup-simplify]: Simplify x into x
0.369 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.369 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.369 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.369 * [taylor]: Taking taylor expansion of 4.0 in y
0.369 * [backup-simplify]: Simplify 4.0 into 4.0
0.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.369 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.369 * [taylor]: Taking taylor expansion of y in y
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.370 * [backup-simplify]: Simplify (/ 1 1) into 1
0.370 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.370 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.370 * [taylor]: Taking taylor expansion of x in x
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 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.371 * [taylor]: Taking taylor expansion of 4.0 in x
0.371 * [backup-simplify]: Simplify 4.0 into 4.0
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.371 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.371 * [taylor]: Taking taylor expansion of y in x
0.371 * [backup-simplify]: Simplify y into y
0.371 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.371 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.371 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.371 * [taylor]: Taking taylor expansion of x in x
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (* 1 1) into 1
0.372 * [backup-simplify]: Simplify (/ 1 1) into 1
0.372 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.372 * [taylor]: Taking taylor expansion of 4.0 in x
0.372 * [backup-simplify]: Simplify 4.0 into 4.0
0.372 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.372 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.372 * [taylor]: Taking taylor expansion of y in x
0.372 * [backup-simplify]: Simplify y into y
0.372 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.372 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.372 * [backup-simplify]: Simplify (+ 1 0) into 1
0.372 * [taylor]: Taking taylor expansion of 1 in y
0.372 * [backup-simplify]: Simplify 1 into 1
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [taylor]: Taking taylor expansion of 0 in y
0.374 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.376 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
0.376 * [backup-simplify]: Simplify (+ 0 (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 4.0 (/ 1 (pow y 2))))
0.376 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
0.376 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.376 * [taylor]: Taking taylor expansion of 4.0 in y
0.376 * [backup-simplify]: Simplify 4.0 into 4.0
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.376 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.376 * [taylor]: Taking taylor expansion of y in y
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 1 into 1
0.376 * [backup-simplify]: Simplify (* 1 1) into 1
0.377 * [backup-simplify]: Simplify (/ 1 1) into 1
0.377 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.377 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.378 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
0.378 * [backup-simplify]: Simplify 1 into 1
0.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.379 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.380 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.380 * [backup-simplify]: Simplify (- 0) into 0
0.381 * [backup-simplify]: Simplify (+ 0 0) into 0
0.381 * [taylor]: Taking taylor expansion of 0 in y
0.381 * [backup-simplify]: Simplify 0 into 0
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.383 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (- 0) into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.387 * [backup-simplify]: Simplify (- 0) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.387 * [taylor]: Taking taylor expansion of 0 in y
0.387 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.390 * [backup-simplify]: Simplify (- 0) into 0
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* (- 4.0) (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (- (pow x 2) (* 4.0 (pow y 2)))
0.391 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.391 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2)))
0.391 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
0.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
0.391 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.391 * [taylor]: Taking taylor expansion of x in y
0.391 * [backup-simplify]: Simplify x into x
0.391 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.391 * [taylor]: Taking taylor expansion of 4.0 in y
0.391 * [backup-simplify]: Simplify 4.0 into 4.0
0.391 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.391 * [taylor]: Taking taylor expansion of y in y
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 1 into 1
0.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.391 * [taylor]: Taking taylor expansion of x in x
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 1 into 1
0.391 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.391 * [taylor]: Taking taylor expansion of 4.0 in x
0.391 * [backup-simplify]: Simplify 4.0 into 4.0
0.391 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.391 * [taylor]: Taking taylor expansion of y in x
0.391 * [backup-simplify]: Simplify y into y
0.391 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
0.391 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.392 * [taylor]: Taking taylor expansion of x in x
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
0.392 * [taylor]: Taking taylor expansion of 4.0 in x
0.392 * [backup-simplify]: Simplify 4.0 into 4.0
0.392 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.392 * [taylor]: Taking taylor expansion of y in x
0.392 * [backup-simplify]: Simplify y into y
0.392 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.392 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
0.392 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
0.392 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
0.392 * [taylor]: Taking taylor expansion of 4.0 in y
0.392 * [backup-simplify]: Simplify 4.0 into 4.0
0.392 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.392 * [taylor]: Taking taylor expansion of y in y
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.393 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [taylor]: Taking taylor expansion of 0 in y
0.393 * [backup-simplify]: Simplify 0 into 0
0.393 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify (* 1 1) into 1
0.394 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.395 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
0.395 * [backup-simplify]: Simplify (+ 1 0) into 1
0.395 * [taylor]: Taking taylor expansion of 1 in y
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify 1 into 1
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.396 * [backup-simplify]: Simplify 4.0 into 4.0
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.397 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.399 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
0.399 * [backup-simplify]: Simplify (+ 0 0) into 0
0.399 * [taylor]: Taking taylor expansion of 0 in y
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.399 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.402 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.403 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
0.404 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [taylor]: Taking taylor expansion of 0 in y
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
0.404 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.404 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.404 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.404 * [taylor]: Taking taylor expansion of x in y
0.405 * [backup-simplify]: Simplify x into x
0.405 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.405 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.405 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.405 * [taylor]: Taking taylor expansion of 4.0 in y
0.405 * [backup-simplify]: Simplify 4.0 into 4.0
0.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.405 * [taylor]: Taking taylor expansion of y in y
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (* 1 1) into 1
0.406 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [backup-simplify]: Simplify (* 1 1) into 1
0.406 * [backup-simplify]: Simplify (/ 1 1) into 1
0.406 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.406 * [taylor]: Taking taylor expansion of 4.0 in x
0.406 * [backup-simplify]: Simplify 4.0 into 4.0
0.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.406 * [taylor]: Taking taylor expansion of y in x
0.407 * [backup-simplify]: Simplify y into y
0.407 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.407 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.407 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.407 * [taylor]: Taking taylor expansion of x in x
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.407 * [backup-simplify]: Simplify (* 1 1) into 1
0.407 * [backup-simplify]: Simplify (/ 1 1) into 1
0.408 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.408 * [taylor]: Taking taylor expansion of 4.0 in x
0.408 * [backup-simplify]: Simplify 4.0 into 4.0
0.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.408 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.408 * [taylor]: Taking taylor expansion of y in x
0.408 * [backup-simplify]: Simplify y into y
0.408 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.408 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.408 * [backup-simplify]: Simplify (+ 1 0) into 1
0.408 * [taylor]: Taking taylor expansion of 1 in y
0.408 * [backup-simplify]: Simplify 1 into 1
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.410 * [backup-simplify]: Simplify (+ 0 0) into 0
0.410 * [taylor]: Taking taylor expansion of 0 in y
0.410 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.412 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
0.412 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.412 * [taylor]: Taking taylor expansion of 4.0 in y
0.412 * [backup-simplify]: Simplify 4.0 into 4.0
0.412 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.412 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.412 * [taylor]: Taking taylor expansion of y in y
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (/ 1 1) into 1
0.413 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.413 * [backup-simplify]: Simplify 4.0 into 4.0
0.413 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.416 * [taylor]: Taking taylor expansion of 0 in y
0.416 * [backup-simplify]: Simplify 0 into 0
0.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.421 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.421 * [backup-simplify]: Simplify (+ 0 0) into 0
0.421 * [taylor]: Taking taylor expansion of 0 in y
0.421 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
0.424 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
0.424 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
0.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
0.424 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.424 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.424 * [taylor]: Taking taylor expansion of x in y
0.424 * [backup-simplify]: Simplify x into x
0.424 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.424 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.424 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.425 * [taylor]: Taking taylor expansion of 4.0 in y
0.425 * [backup-simplify]: Simplify 4.0 into 4.0
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.425 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.425 * [taylor]: Taking taylor expansion of y in y
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [backup-simplify]: Simplify (* 1 1) into 1
0.425 * [backup-simplify]: Simplify (/ 1 1) into 1
0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.425 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.425 * [taylor]: Taking taylor expansion of x in x
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.426 * [backup-simplify]: Simplify (/ 1 1) into 1
0.426 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.426 * [taylor]: Taking taylor expansion of 4.0 in x
0.426 * [backup-simplify]: Simplify 4.0 into 4.0
0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.426 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.426 * [taylor]: Taking taylor expansion of y in x
0.426 * [backup-simplify]: Simplify y into y
0.426 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.426 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.427 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.427 * [taylor]: Taking taylor expansion of x in x
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify (* 1 1) into 1
0.427 * [backup-simplify]: Simplify (/ 1 1) into 1
0.427 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
0.427 * [taylor]: Taking taylor expansion of 4.0 in x
0.427 * [backup-simplify]: Simplify 4.0 into 4.0
0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.427 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.427 * [taylor]: Taking taylor expansion of y in x
0.427 * [backup-simplify]: Simplify y into y
0.427 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.428 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.428 * [backup-simplify]: Simplify (+ 1 0) into 1
0.428 * [taylor]: Taking taylor expansion of 1 in y
0.428 * [backup-simplify]: Simplify 1 into 1
0.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [taylor]: Taking taylor expansion of 0 in y
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
0.431 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
0.431 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
0.431 * [taylor]: Taking taylor expansion of 4.0 in y
0.431 * [backup-simplify]: Simplify 4.0 into 4.0
0.431 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.431 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.431 * [taylor]: Taking taylor expansion of y in y
0.431 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify (* 1 1) into 1
0.432 * [backup-simplify]: Simplify (/ 1 1) into 1
0.432 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
0.432 * [backup-simplify]: Simplify 4.0 into 4.0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.435 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.435 * [taylor]: Taking taylor expansion of 0 in y
0.435 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.437 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.439 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.440 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
0.441 * [backup-simplify]: Simplify (+ 0 0) into 0
0.441 * [taylor]: Taking taylor expansion of 0 in y
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.443 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
0.444 * * * [progress]: simplifying candidates
0.445 * [simplify]: Simplifying:
  (- (log (- (* x x) (* (* y 4.0) y))) (log (+ (* x x) (* (* y 4.0) y))))
  (log (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (/ (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y))) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (* (* (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
  (- (- (* x x) (* (* y 4.0) y)))
  (- (+ (* x x) (* (* y 4.0) y)))
  (/ (* x x) (+ (* x x) (* (* y 4.0) y)))
  (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y)))) 1)
  (/ (cbrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) 1)
  (/ (sqrt (- (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ 1 1)
  (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (- (* x x) (* (* y 4.0) y)) 1)
  (/ (+ (* x x) (* (* y 4.0) y)) (cbrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (sqrt (- (* x x) (* (* y 4.0) y))))
  (/ (+ (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y)))
  (/ (- (* x x) (* (* y 4.0) y)) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))
  (/ (- (* x x) (* (* y 4.0) y)) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))
  (* (+ (* x x) (* (* y 4.0) y)) (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y)))))
  (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
  (/ (exp (* x x)) (exp (* (* y 4.0) y)))
  (log (- (* x x) (* (* y 4.0) y)))
  (exp (- (* x x) (* (* y 4.0) y)))
  (* (cbrt (- (* x x) (* (* y 4.0) y))) (cbrt (- (* x x) (* (* y 4.0) y))))
  (cbrt (- (* x x) (* (* y 4.0) y)))
  (* (* (- (* x x) (* (* y 4.0) y)) (- (* x x) (* (* y 4.0) y))) (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (sqrt (- (* x x) (* (* y 4.0) y)))
  (- (pow (* x x) 3) (pow (* (* y 4.0) y) 3))
  (+ (* (* x x) (* x x)) (+ (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))
  (- (* (* y 4.0) y))
  (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))
  (+ (* x x) (* (* y 4.0) y))
  (- (* (* y 4.0) y))
  (* (exp (* x x)) (exp (* (* y 4.0) y)))
  (log (+ (* x x) (* (* y 4.0) y)))
  (exp (+ (* x x) (* (* y 4.0) y)))
  (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (cbrt (+ (* x x) (* (* y 4.0) y)))
  (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))
  (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))
  (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))
  (- (* x x) (* (* y 4.0) y))
  -1.0
  1
  1
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
  (- (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
0.451 * [simplify]: Sending expressions to egg_math:
 (- (log (- (* h1 h1) (* (* h0 4.0) h0))) (log (+ (* h1 h1) (* (* h0 4.0) h0))))
 (log (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (exp (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (* (- (* h1 h1) (* (* h0 4.0) h0)) (- (* h1 h1) (* (* h0 4.0) h0))) (- (* h1 h1) (* (* h0 4.0) h0))) (* (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (* (cbrt (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0)))) (cbrt (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (cbrt (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (* (* (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0)))) (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (sqrt (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (sqrt (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (- (- (* h1 h1) (* (* h0 4.0) h0)))
 (- (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (* (cbrt (- (* h1 h1) (* (* h0 4.0) h0))) (cbrt (- (* h1 h1) (* (* h0 4.0) h0)))) (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (/ (cbrt (- (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (cbrt (- (* h1 h1) (* (* h0 4.0) h0))) (cbrt (- (* h1 h1) (* (* h0 4.0) h0)))) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (cbrt (- (* h1 h1) (* (* h0 4.0) h0))) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (cbrt (- (* h1 h1) (* (* h0 4.0) h0))) (cbrt (- (* h1 h1) (* (* h0 4.0) h0)))) 1)
 (/ (cbrt (- (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (sqrt (- (* h1 h1) (* (* h0 4.0) h0))) (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (/ (sqrt (- (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (sqrt (- (* h1 h1) (* (* h0 4.0) h0))) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (sqrt (- (* h1 h1) (* (* h0 4.0) h0))) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (sqrt (- (* h1 h1) (* (* h0 4.0) h0))) 1)
 (/ (sqrt (- (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ 1 (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ 1 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ 1 1)
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ 1 (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (+ (* h1 h1) (* (* h0 4.0) h0)) (- (* h1 h1) (* (* h0 4.0) h0)))
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) 1)
 (/ (+ (* h1 h1) (* (* h0 4.0) h0)) (cbrt (- (* h1 h1) (* (* h0 4.0) h0))))
 (/ (+ (* h1 h1) (* (* h0 4.0) h0)) (sqrt (- (* h1 h1) (* (* h0 4.0) h0))))
 (/ (+ (* h1 h1) (* (* h0 4.0) h0)) (- (* h1 h1) (* (* h0 4.0) h0)))
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) (+ (pow (* h1 h1) 3) (pow (* (* h0 4.0) h0) 3)))
 (/ (- (* h1 h1) (* (* h0 4.0) h0)) (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 4.0) h0) (* (* h0 4.0) h0))))
 (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* (* h1 h1) (* h1 h1)) (+ (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)) (* (* h1 h1) (* (* h0 4.0) h0)))))
 (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (exp (* h1 h1)) (exp (* (* h0 4.0) h0)))
 (log (- (* h1 h1) (* (* h0 4.0) h0)))
 (exp (- (* h1 h1) (* (* h0 4.0) h0)))
 (* (cbrt (- (* h1 h1) (* (* h0 4.0) h0))) (cbrt (- (* h1 h1) (* (* h0 4.0) h0))))
 (cbrt (- (* h1 h1) (* (* h0 4.0) h0)))
 (* (* (- (* h1 h1) (* (* h0 4.0) h0)) (- (* h1 h1) (* (* h0 4.0) h0))) (- (* h1 h1) (* (* h0 4.0) h0)))
 (sqrt (- (* h1 h1) (* (* h0 4.0) h0)))
 (sqrt (- (* h1 h1) (* (* h0 4.0) h0)))
 (- (pow (* h1 h1) 3) (pow (* (* h0 4.0) h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (+ (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)) (* (* h1 h1) (* (* h0 4.0) h0))))
 (- (* (* h0 4.0) h0))
 (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)))
 (+ (* h1 h1) (* (* h0 4.0) h0))
 (- (* (* h0 4.0) h0))
 (* (exp (* h1 h1)) (exp (* (* h0 4.0) h0)))
 (log (+ (* h1 h1) (* (* h0 4.0) h0)))
 (exp (+ (* h1 h1) (* (* h0 4.0) h0)))
 (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))
 (* (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0)))
 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0)))
 (+ (pow (* h1 h1) 3) (pow (* (* h0 4.0) h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)) (* (* h1 h1) (* (* h0 4.0) h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)))
 (- (* h1 h1) (* (* h0 4.0) h0))
 -1.0
 1
 1
 (- (pow h1 2) (* 4.0 (pow h0 2)))
 (- (pow h1 2) (* 4.0 (pow h0 2)))
 (- (pow h1 2) (* 4.0 (pow h0 2)))
 (+ (pow h1 2) (* 4.0 (pow h0 2)))
 (+ (pow h1 2) (* 4.0 (pow h0 2)))
 (+ (pow h1 2) (* 4.0 (pow h0 2)))
2.638 * * * [progress]: adding candidates to table
2.783 * * [progress]: iteration 2 / 4
2.783 * * * [progress]: picking best candidate
2.786 * * * * [pick]: Picked  #<alt (λ (x y) -1.0)>
2.786 * * * [progress]: localizing error
2.786 * * * [progress]: generating rewritten candidates
2.786 * * * [progress]: generating series expansions
2.786 * * * [progress]: simplifying candidates
2.786 * [simplify]: Simplifying:
  
2.786 * [simplify]: Sending expressions to egg_math:
 
2.797 * * * [progress]: adding candidates to table
2.797 * * [progress]: iteration 3 / 4
2.797 * * * [progress]: picking best candidate
2.800 * * * * [pick]: Picked  #<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))>
2.800 * * * [progress]: localizing error
2.815 * * * [progress]: generating rewritten candidates
2.815 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.857 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.887 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.002 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 2)
3.020 * * * [progress]: generating series expansions
3.020 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.020 * [backup-simplify]: Simplify (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) into (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))
3.020 * [approximate]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in (y x) around 0
3.020 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x
3.020 * [taylor]: Taking taylor expansion of 4.0 in x
3.020 * [backup-simplify]: Simplify 4.0 into 4.0
3.020 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
3.020 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.020 * [taylor]: Taking taylor expansion of y in x
3.020 * [backup-simplify]: Simplify y into y
3.020 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.020 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.020 * [taylor]: Taking taylor expansion of x in x
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.021 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.021 * [taylor]: Taking taylor expansion of 4.0 in x
3.021 * [backup-simplify]: Simplify 4.0 into 4.0
3.021 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.021 * [taylor]: Taking taylor expansion of y in x
3.021 * [backup-simplify]: Simplify y into y
3.021 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.021 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.021 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.021 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.021 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25
3.021 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y
3.021 * [taylor]: Taking taylor expansion of 4.0 in y
3.021 * [backup-simplify]: Simplify 4.0 into 4.0
3.021 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
3.021 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.021 * [taylor]: Taking taylor expansion of y in y
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.022 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
3.022 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.022 * [taylor]: Taking taylor expansion of x in y
3.022 * [backup-simplify]: Simplify x into x
3.022 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.022 * [taylor]: Taking taylor expansion of 4.0 in y
3.022 * [backup-simplify]: Simplify 4.0 into 4.0
3.022 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.022 * [taylor]: Taking taylor expansion of y in y
3.022 * [backup-simplify]: Simplify 0 into 0
3.022 * [backup-simplify]: Simplify 1 into 1
3.023 * [backup-simplify]: Simplify (* 1 1) into 1
3.023 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.023 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.023 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.023 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y
3.023 * [taylor]: Taking taylor expansion of 4.0 in y
3.023 * [backup-simplify]: Simplify 4.0 into 4.0
3.023 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
3.023 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.023 * [taylor]: Taking taylor expansion of y in y
3.023 * [backup-simplify]: Simplify 0 into 0
3.023 * [backup-simplify]: Simplify 1 into 1
3.023 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
3.023 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.023 * [taylor]: Taking taylor expansion of x in y
3.023 * [backup-simplify]: Simplify x into x
3.023 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.023 * [taylor]: Taking taylor expansion of 4.0 in y
3.023 * [backup-simplify]: Simplify 4.0 into 4.0
3.023 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.023 * [taylor]: Taking taylor expansion of y in y
3.023 * [backup-simplify]: Simplify 0 into 0
3.023 * [backup-simplify]: Simplify 1 into 1
3.024 * [backup-simplify]: Simplify (* 1 1) into 1
3.024 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.024 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.024 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.024 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow x 2))) into (/ 4.0 (pow x 2))
3.024 * [taylor]: Taking taylor expansion of (/ 4.0 (pow x 2)) in x
3.024 * [taylor]: Taking taylor expansion of 4.0 in x
3.024 * [backup-simplify]: Simplify 4.0 into 4.0
3.024 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.024 * [taylor]: Taking taylor expansion of x in x
3.024 * [backup-simplify]: Simplify 0 into 0
3.024 * [backup-simplify]: Simplify 1 into 1
3.025 * [backup-simplify]: Simplify (* 1 1) into 1
3.025 * [backup-simplify]: Simplify (/ 4.0 1) into 4.0
3.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.028 * [backup-simplify]: Simplify 0 into 0
3.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.028 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.029 * [backup-simplify]: Simplify (+ 0 0) into 0
3.029 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.030 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow x 2)))) into 0
3.030 * [taylor]: Taking taylor expansion of 0 in x
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.031 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.033 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.033 * [backup-simplify]: Simplify (* 1 1) into 1
3.033 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.034 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.034 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 4.0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (* 4.0 (/ 1 (pow x 4))))
3.035 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 4.0 (/ 1 (pow x 4))))) (+ (* 0 0) (* 0 (/ 1 (pow x 2))))) into (- (* 16.0 (/ 1 (pow x 4))))
3.035 * [taylor]: Taking taylor expansion of (- (* 16.0 (/ 1 (pow x 4)))) in x
3.035 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 (pow x 4))) in x
3.035 * [taylor]: Taking taylor expansion of 16.0 in x
3.035 * [backup-simplify]: Simplify 16.0 into 16.0
3.035 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
3.035 * [taylor]: Taking taylor expansion of (pow x 4) in x
3.035 * [taylor]: Taking taylor expansion of x in x
3.035 * [backup-simplify]: Simplify 0 into 0
3.035 * [backup-simplify]: Simplify 1 into 1
3.035 * [backup-simplify]: Simplify (* 1 1) into 1
3.036 * [backup-simplify]: Simplify (* 1 1) into 1
3.036 * [backup-simplify]: Simplify (/ 1 1) into 1
3.037 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.046 * [backup-simplify]: Simplify (+ (* 16.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.046 * [backup-simplify]: Simplify (- 0) into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 0 into 0
3.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.048 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 4.0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))
3.049 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0
3.049 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x
3.049 * [taylor]: Taking taylor expansion of 4.0 in x
3.049 * [backup-simplify]: Simplify 4.0 into 4.0
3.049 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x
3.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.049 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.049 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.049 * [taylor]: Taking taylor expansion of x in x
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 1 into 1
3.049 * [backup-simplify]: Simplify (* 1 1) into 1
3.050 * [backup-simplify]: Simplify (/ 1 1) into 1
3.050 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.050 * [taylor]: Taking taylor expansion of 4.0 in x
3.050 * [backup-simplify]: Simplify 4.0 into 4.0
3.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.050 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.050 * [taylor]: Taking taylor expansion of y in x
3.050 * [backup-simplify]: Simplify y into y
3.050 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.050 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.050 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.050 * [taylor]: Taking taylor expansion of y in x
3.050 * [backup-simplify]: Simplify y into y
3.051 * [backup-simplify]: Simplify (+ 1 0) into 1
3.051 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.051 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.051 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2))
3.051 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y
3.051 * [taylor]: Taking taylor expansion of 4.0 in y
3.051 * [backup-simplify]: Simplify 4.0 into 4.0
3.051 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y
3.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.051 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.051 * [taylor]: Taking taylor expansion of x in y
3.051 * [backup-simplify]: Simplify x into x
3.051 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.051 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.051 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.051 * [taylor]: Taking taylor expansion of 4.0 in y
3.051 * [backup-simplify]: Simplify 4.0 into 4.0
3.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.051 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.051 * [taylor]: Taking taylor expansion of y in y
3.052 * [backup-simplify]: Simplify 0 into 0
3.052 * [backup-simplify]: Simplify 1 into 1
3.052 * [backup-simplify]: Simplify (* 1 1) into 1
3.052 * [backup-simplify]: Simplify (/ 1 1) into 1
3.052 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.053 * [taylor]: Taking taylor expansion of y in y
3.053 * [backup-simplify]: Simplify 0 into 0
3.053 * [backup-simplify]: Simplify 1 into 1
3.053 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.053 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.054 * [backup-simplify]: Simplify (* 1 1) into 1
3.054 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.054 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0
3.054 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y
3.054 * [taylor]: Taking taylor expansion of 4.0 in y
3.054 * [backup-simplify]: Simplify 4.0 into 4.0
3.054 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y
3.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.055 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.055 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.055 * [taylor]: Taking taylor expansion of x in y
3.055 * [backup-simplify]: Simplify x into x
3.055 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.055 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.055 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.055 * [taylor]: Taking taylor expansion of 4.0 in y
3.055 * [backup-simplify]: Simplify 4.0 into 4.0
3.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.055 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.055 * [taylor]: Taking taylor expansion of y in y
3.055 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify 1 into 1
3.055 * [backup-simplify]: Simplify (* 1 1) into 1
3.056 * [backup-simplify]: Simplify (/ 1 1) into 1
3.056 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.056 * [taylor]: Taking taylor expansion of y in y
3.056 * [backup-simplify]: Simplify 0 into 0
3.056 * [backup-simplify]: Simplify 1 into 1
3.056 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.056 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.057 * [backup-simplify]: Simplify (* 1 1) into 1
3.057 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.057 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0
3.058 * [taylor]: Taking taylor expansion of 1.0 in x
3.058 * [backup-simplify]: Simplify 1.0 into 1.0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.060 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.060 * [backup-simplify]: Simplify (+ 0 0) into 0
3.061 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.062 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0
3.062 * [taylor]: Taking taylor expansion of 0 in x
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.065 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.065 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
3.066 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2))
3.067 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2))))
3.067 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x
3.067 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x
3.067 * [taylor]: Taking taylor expansion of 0.25 in x
3.067 * [backup-simplify]: Simplify 0.25 into 0.25
3.067 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.067 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.067 * [taylor]: Taking taylor expansion of x in x
3.067 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify 1 into 1
3.067 * [backup-simplify]: Simplify (* 1 1) into 1
3.068 * [backup-simplify]: Simplify (/ 1 1) into 1
3.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.069 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.074 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.075 * [backup-simplify]: Simplify (- 0) into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))
3.075 * [approximate]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in (y x) around 0
3.075 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x
3.075 * [taylor]: Taking taylor expansion of 4.0 in x
3.075 * [backup-simplify]: Simplify 4.0 into 4.0
3.075 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x
3.076 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.076 * [taylor]: Taking taylor expansion of x in x
3.076 * [backup-simplify]: Simplify 0 into 0
3.076 * [backup-simplify]: Simplify 1 into 1
3.076 * [backup-simplify]: Simplify (* 1 1) into 1
3.076 * [backup-simplify]: Simplify (/ 1 1) into 1
3.076 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.076 * [taylor]: Taking taylor expansion of 4.0 in x
3.076 * [backup-simplify]: Simplify 4.0 into 4.0
3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.076 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.076 * [taylor]: Taking taylor expansion of y in x
3.077 * [backup-simplify]: Simplify y into y
3.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.077 * [taylor]: Taking taylor expansion of y in x
3.077 * [backup-simplify]: Simplify y into y
3.077 * [backup-simplify]: Simplify (+ 1 0) into 1
3.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.077 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.077 * [backup-simplify]: Simplify (/ 4.0 (pow y 2)) into (/ 4.0 (pow y 2))
3.078 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y
3.078 * [taylor]: Taking taylor expansion of 4.0 in y
3.078 * [backup-simplify]: Simplify 4.0 into 4.0
3.078 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y
3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.078 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.078 * [taylor]: Taking taylor expansion of x in y
3.078 * [backup-simplify]: Simplify x into x
3.078 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.078 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.078 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.078 * [taylor]: Taking taylor expansion of 4.0 in y
3.078 * [backup-simplify]: Simplify 4.0 into 4.0
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.078 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.078 * [taylor]: Taking taylor expansion of y in y
3.078 * [backup-simplify]: Simplify 0 into 0
3.078 * [backup-simplify]: Simplify 1 into 1
3.078 * [backup-simplify]: Simplify (* 1 1) into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.079 * [taylor]: Taking taylor expansion of y in y
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.080 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.080 * [backup-simplify]: Simplify (* 1 1) into 1
3.080 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.081 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0
3.081 * [taylor]: Taking taylor expansion of (/ 4.0 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y
3.081 * [taylor]: Taking taylor expansion of 4.0 in y
3.081 * [backup-simplify]: Simplify 4.0 into 4.0
3.081 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y
3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.081 * [taylor]: Taking taylor expansion of x in y
3.081 * [backup-simplify]: Simplify x into x
3.081 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.081 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.081 * [taylor]: Taking taylor expansion of 4.0 in y
3.081 * [backup-simplify]: Simplify 4.0 into 4.0
3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.081 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.081 * [taylor]: Taking taylor expansion of y in y
3.081 * [backup-simplify]: Simplify 0 into 0
3.081 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify (* 1 1) into 1
3.082 * [backup-simplify]: Simplify (/ 1 1) into 1
3.082 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.082 * [taylor]: Taking taylor expansion of y in y
3.082 * [backup-simplify]: Simplify 0 into 0
3.082 * [backup-simplify]: Simplify 1 into 1
3.082 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.083 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.083 * [backup-simplify]: Simplify (* 1 1) into 1
3.083 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.084 * [backup-simplify]: Simplify (/ 4.0 4.0) into 1.0
3.084 * [taylor]: Taking taylor expansion of 1.0 in x
3.084 * [backup-simplify]: Simplify 1.0 into 1.0
3.084 * [backup-simplify]: Simplify 0 into 0
3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.086 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.086 * [backup-simplify]: Simplify (+ 0 0) into 0
3.087 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.088 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ 0 4.0)))) into 0
3.088 * [taylor]: Taking taylor expansion of 0 in x
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.088 * [backup-simplify]: Simplify 0 into 0
3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.091 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.091 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
3.092 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* (/ 1 (pow x 2)) 1))) into (/ 1 (pow x 2))
3.093 * [backup-simplify]: Simplify (- (/ 0 4.0) (+ (* 1.0 (/ (/ 1 (pow x 2)) 4.0)) (* 0 (/ 0 4.0)))) into (- (* 0.25 (/ 1 (pow x 2))))
3.093 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow x 2)))) in x
3.093 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow x 2))) in x
3.093 * [taylor]: Taking taylor expansion of 0.25 in x
3.093 * [backup-simplify]: Simplify 0.25 into 0.25
3.093 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.093 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.093 * [taylor]: Taking taylor expansion of x in x
3.093 * [backup-simplify]: Simplify 0 into 0
3.093 * [backup-simplify]: Simplify 1 into 1
3.093 * [backup-simplify]: Simplify (* 1 1) into 1
3.094 * [backup-simplify]: Simplify (/ 1 1) into 1
3.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.101 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.101 * [backup-simplify]: Simplify (- 0) into 0
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
3.102 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* (* y 4.0) y))) into (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2))))
3.102 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in (x y) around 0
3.102 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
3.102 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.102 * [taylor]: Taking taylor expansion of x in y
3.102 * [backup-simplify]: Simplify x into x
3.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
3.102 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.102 * [taylor]: Taking taylor expansion of x in y
3.102 * [backup-simplify]: Simplify x into x
3.102 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.102 * [taylor]: Taking taylor expansion of 4.0 in y
3.102 * [backup-simplify]: Simplify 4.0 into 4.0
3.102 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.102 * [taylor]: Taking taylor expansion of y in y
3.102 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify 1 into 1
3.102 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.102 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.102 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.103 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.103 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
3.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.103 * [taylor]: Taking taylor expansion of x in x
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 1 into 1
3.103 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.103 * [taylor]: Taking taylor expansion of x in x
3.103 * [backup-simplify]: Simplify 0 into 0
3.103 * [backup-simplify]: Simplify 1 into 1
3.103 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.103 * [taylor]: Taking taylor expansion of 4.0 in x
3.103 * [backup-simplify]: Simplify 4.0 into 4.0
3.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.103 * [taylor]: Taking taylor expansion of y in x
3.103 * [backup-simplify]: Simplify y into y
3.103 * [backup-simplify]: Simplify (* 1 1) into 1
3.104 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.104 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.104 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.104 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2))
3.104 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
3.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.104 * [taylor]: Taking taylor expansion of x in x
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify 1 into 1
3.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.104 * [taylor]: Taking taylor expansion of x in x
3.104 * [backup-simplify]: Simplify 0 into 0
3.104 * [backup-simplify]: Simplify 1 into 1
3.104 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.104 * [taylor]: Taking taylor expansion of 4.0 in x
3.104 * [backup-simplify]: Simplify 4.0 into 4.0
3.104 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.104 * [taylor]: Taking taylor expansion of y in x
3.104 * [backup-simplify]: Simplify y into y
3.105 * [backup-simplify]: Simplify (* 1 1) into 1
3.105 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.105 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.105 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.105 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2))
3.105 * [taylor]: Taking taylor expansion of (/ 0.25 (pow y 2)) in y
3.105 * [taylor]: Taking taylor expansion of 0.25 in y
3.105 * [backup-simplify]: Simplify 0.25 into 0.25
3.105 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.105 * [taylor]: Taking taylor expansion of y in y
3.105 * [backup-simplify]: Simplify 0 into 0
3.105 * [backup-simplify]: Simplify 1 into 1
3.106 * [backup-simplify]: Simplify (* 1 1) into 1
3.106 * [backup-simplify]: Simplify (/ 0.25 1) into 0.25
3.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.108 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)))) into 0
3.109 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.109 * [backup-simplify]: Simplify 0 into 0
3.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.109 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.110 * [backup-simplify]: Simplify (+ 0 0) into 0
3.110 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0
3.110 * [taylor]: Taking taylor expansion of 0 in y
3.110 * [backup-simplify]: Simplify 0 into 0
3.110 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.111 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.111 * [backup-simplify]: Simplify 0 into 0
3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.112 * [backup-simplify]: Simplify (* 1 1) into 1
3.112 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.113 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.113 * [backup-simplify]: Simplify (+ 1 0) into 1
3.113 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 4))))
3.113 * [taylor]: Taking taylor expansion of (- (* 0.0625 (/ 1 (pow y 4)))) in y
3.113 * [taylor]: Taking taylor expansion of (* 0.0625 (/ 1 (pow y 4))) in y
3.113 * [taylor]: Taking taylor expansion of 0.0625 in y
3.113 * [backup-simplify]: Simplify 0.0625 into 0.0625
3.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.114 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.114 * [taylor]: Taking taylor expansion of y in y
3.114 * [backup-simplify]: Simplify 0 into 0
3.114 * [backup-simplify]: Simplify 1 into 1
3.114 * [backup-simplify]: Simplify (* 1 1) into 1
3.114 * [backup-simplify]: Simplify (* 1 1) into 1
3.114 * [backup-simplify]: Simplify (/ 1 1) into 1
3.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ (* 0.0625 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.126 * [backup-simplify]: Simplify (- 0) into 0
3.126 * [backup-simplify]: Simplify 0 into 0
3.126 * [backup-simplify]: Simplify 0 into 0
3.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.25 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))
3.127 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0
3.127 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y
3.127 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
3.127 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.127 * [taylor]: Taking taylor expansion of x in y
3.127 * [backup-simplify]: Simplify x into x
3.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.127 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.127 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.127 * [taylor]: Taking taylor expansion of x in y
3.127 * [backup-simplify]: Simplify x into x
3.128 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.128 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.128 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.128 * [taylor]: Taking taylor expansion of 4.0 in y
3.128 * [backup-simplify]: Simplify 4.0 into 4.0
3.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.128 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.128 * [taylor]: Taking taylor expansion of y in y
3.128 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 1 into 1
3.128 * [backup-simplify]: Simplify (* 1 1) into 1
3.128 * [backup-simplify]: Simplify (/ 1 1) into 1
3.128 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.129 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.129 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.129 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2))
3.129 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2))
3.129 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x
3.129 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.129 * [taylor]: Taking taylor expansion of x in x
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 1 into 1
3.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.129 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.129 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.129 * [taylor]: Taking taylor expansion of x in x
3.129 * [backup-simplify]: Simplify 0 into 0
3.129 * [backup-simplify]: Simplify 1 into 1
3.130 * [backup-simplify]: Simplify (* 1 1) into 1
3.130 * [backup-simplify]: Simplify (/ 1 1) into 1
3.130 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.130 * [taylor]: Taking taylor expansion of 4.0 in x
3.130 * [backup-simplify]: Simplify 4.0 into 4.0
3.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.130 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.130 * [taylor]: Taking taylor expansion of y in x
3.130 * [backup-simplify]: Simplify y into y
3.130 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.130 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.130 * [backup-simplify]: Simplify (* 1 1) into 1
3.131 * [backup-simplify]: Simplify (+ 1 0) into 1
3.131 * [backup-simplify]: Simplify (* 1 1) into 1
3.131 * [backup-simplify]: Simplify (/ 1 1) into 1
3.131 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x
3.131 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.131 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.131 * [taylor]: Taking taylor expansion of x in x
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 1 into 1
3.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.131 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.131 * [taylor]: Taking taylor expansion of x in x
3.131 * [backup-simplify]: Simplify 0 into 0
3.131 * [backup-simplify]: Simplify 1 into 1
3.131 * [backup-simplify]: Simplify (* 1 1) into 1
3.132 * [backup-simplify]: Simplify (/ 1 1) into 1
3.132 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.132 * [taylor]: Taking taylor expansion of 4.0 in x
3.132 * [backup-simplify]: Simplify 4.0 into 4.0
3.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.132 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.132 * [taylor]: Taking taylor expansion of y in x
3.132 * [backup-simplify]: Simplify y into y
3.132 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.132 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.132 * [backup-simplify]: Simplify (* 1 1) into 1
3.132 * [backup-simplify]: Simplify (+ 1 0) into 1
3.133 * [backup-simplify]: Simplify (* 1 1) into 1
3.133 * [backup-simplify]: Simplify (/ 1 1) into 1
3.133 * [taylor]: Taking taylor expansion of 1 in y
3.133 * [backup-simplify]: Simplify 1 into 1
3.133 * [backup-simplify]: Simplify 0 into 0
3.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.134 * [backup-simplify]: Simplify (+ 0 0) into 0
3.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.135 * [taylor]: Taking taylor expansion of 0 in y
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.136 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.137 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
3.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.138 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2)))
3.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2))))
3.138 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
3.138 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.138 * [taylor]: Taking taylor expansion of 4.0 in y
3.138 * [backup-simplify]: Simplify 4.0 into 4.0
3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.138 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.138 * [taylor]: Taking taylor expansion of y in y
3.138 * [backup-simplify]: Simplify 0 into 0
3.138 * [backup-simplify]: Simplify 1 into 1
3.139 * [backup-simplify]: Simplify (* 1 1) into 1
3.139 * [backup-simplify]: Simplify (/ 1 1) into 1
3.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.144 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.144 * [backup-simplify]: Simplify (- 0) into 0
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify 0 into 0
3.144 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))))
3.144 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in (x y) around 0
3.144 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y
3.144 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
3.144 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.144 * [taylor]: Taking taylor expansion of x in y
3.144 * [backup-simplify]: Simplify x into x
3.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.144 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.144 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.144 * [taylor]: Taking taylor expansion of x in y
3.144 * [backup-simplify]: Simplify x into x
3.145 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.145 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.145 * [taylor]: Taking taylor expansion of 4.0 in y
3.145 * [backup-simplify]: Simplify 4.0 into 4.0
3.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.145 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.145 * [taylor]: Taking taylor expansion of y in y
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [backup-simplify]: Simplify (* 1 1) into 1
3.145 * [backup-simplify]: Simplify (/ 1 1) into 1
3.145 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.146 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.146 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.146 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2))
3.146 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2))
3.146 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x
3.146 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.146 * [taylor]: Taking taylor expansion of x in x
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.146 * [taylor]: Taking taylor expansion of x in x
3.146 * [backup-simplify]: Simplify 0 into 0
3.146 * [backup-simplify]: Simplify 1 into 1
3.146 * [backup-simplify]: Simplify (* 1 1) into 1
3.147 * [backup-simplify]: Simplify (/ 1 1) into 1
3.147 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.147 * [taylor]: Taking taylor expansion of 4.0 in x
3.147 * [backup-simplify]: Simplify 4.0 into 4.0
3.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.147 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.147 * [taylor]: Taking taylor expansion of y in x
3.147 * [backup-simplify]: Simplify y into y
3.147 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.147 * [backup-simplify]: Simplify (* 1 1) into 1
3.148 * [backup-simplify]: Simplify (+ 1 0) into 1
3.148 * [backup-simplify]: Simplify (* 1 1) into 1
3.148 * [backup-simplify]: Simplify (/ 1 1) into 1
3.148 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x
3.148 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.148 * [taylor]: Taking taylor expansion of x in x
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 1 into 1
3.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.148 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.148 * [taylor]: Taking taylor expansion of x in x
3.148 * [backup-simplify]: Simplify 0 into 0
3.148 * [backup-simplify]: Simplify 1 into 1
3.148 * [backup-simplify]: Simplify (* 1 1) into 1
3.149 * [backup-simplify]: Simplify (/ 1 1) into 1
3.149 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.149 * [taylor]: Taking taylor expansion of 4.0 in x
3.149 * [backup-simplify]: Simplify 4.0 into 4.0
3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.149 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.149 * [taylor]: Taking taylor expansion of y in x
3.149 * [backup-simplify]: Simplify y into y
3.149 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.149 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.149 * [backup-simplify]: Simplify (* 1 1) into 1
3.149 * [backup-simplify]: Simplify (+ 1 0) into 1
3.150 * [backup-simplify]: Simplify (* 1 1) into 1
3.150 * [backup-simplify]: Simplify (/ 1 1) into 1
3.150 * [taylor]: Taking taylor expansion of 1 in y
3.150 * [backup-simplify]: Simplify 1 into 1
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.151 * [backup-simplify]: Simplify (+ 0 0) into 0
3.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.153 * [taylor]: Taking taylor expansion of 0 in y
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.153 * [backup-simplify]: Simplify 0 into 0
3.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.155 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.155 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
3.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.156 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2)))
3.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2))))
3.157 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 (pow y 2)))) in y
3.157 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.157 * [taylor]: Taking taylor expansion of 4.0 in y
3.157 * [backup-simplify]: Simplify 4.0 into 4.0
3.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.157 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.157 * [taylor]: Taking taylor expansion of y in y
3.157 * [backup-simplify]: Simplify 0 into 0
3.157 * [backup-simplify]: Simplify 1 into 1
3.158 * [backup-simplify]: Simplify (* 1 1) into 1
3.158 * [backup-simplify]: Simplify (/ 1 1) into 1
3.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.165 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.165 * [backup-simplify]: Simplify (- 0) into 0
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * [backup-simplify]: Simplify 0 into 0
3.165 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.166 * [backup-simplify]: Simplify (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) into (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))))
3.166 * [approximate]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in (x y) around 0
3.166 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in y
3.166 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
3.166 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.166 * [taylor]: Taking taylor expansion of x in y
3.166 * [backup-simplify]: Simplify x into x
3.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
3.166 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.166 * [taylor]: Taking taylor expansion of x in y
3.166 * [backup-simplify]: Simplify x into x
3.166 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.166 * [taylor]: Taking taylor expansion of 4.0 in y
3.166 * [backup-simplify]: Simplify 4.0 into 4.0
3.166 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.166 * [taylor]: Taking taylor expansion of y in y
3.166 * [backup-simplify]: Simplify 0 into 0
3.166 * [backup-simplify]: Simplify 1 into 1
3.166 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.166 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.166 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.167 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
3.167 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in y
3.167 * [taylor]: Taking taylor expansion of 4.0 in y
3.167 * [backup-simplify]: Simplify 4.0 into 4.0
3.167 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in y
3.167 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.167 * [taylor]: Taking taylor expansion of y in y
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
3.167 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.167 * [taylor]: Taking taylor expansion of x in y
3.167 * [backup-simplify]: Simplify x into x
3.167 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.167 * [taylor]: Taking taylor expansion of 4.0 in y
3.167 * [backup-simplify]: Simplify 4.0 into 4.0
3.167 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.167 * [taylor]: Taking taylor expansion of y in y
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 1 into 1
3.167 * [backup-simplify]: Simplify (* 1 1) into 1
3.168 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.168 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.168 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.168 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x
3.168 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
3.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.168 * [taylor]: Taking taylor expansion of x in x
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.168 * [taylor]: Taking taylor expansion of x in x
3.168 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify 1 into 1
3.168 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.168 * [taylor]: Taking taylor expansion of 4.0 in x
3.168 * [backup-simplify]: Simplify 4.0 into 4.0
3.168 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.168 * [taylor]: Taking taylor expansion of y in x
3.168 * [backup-simplify]: Simplify y into y
3.169 * [backup-simplify]: Simplify (* 1 1) into 1
3.169 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.169 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.169 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.169 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2))
3.169 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x
3.169 * [taylor]: Taking taylor expansion of 4.0 in x
3.169 * [backup-simplify]: Simplify 4.0 into 4.0
3.169 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
3.169 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.169 * [taylor]: Taking taylor expansion of y in x
3.169 * [backup-simplify]: Simplify y into y
3.169 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.169 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.169 * [taylor]: Taking taylor expansion of x in x
3.169 * [backup-simplify]: Simplify 0 into 0
3.169 * [backup-simplify]: Simplify 1 into 1
3.169 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.169 * [taylor]: Taking taylor expansion of 4.0 in x
3.169 * [backup-simplify]: Simplify 4.0 into 4.0
3.169 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.169 * [taylor]: Taking taylor expansion of y in x
3.169 * [backup-simplify]: Simplify y into y
3.170 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.170 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.170 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.170 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.170 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25
3.170 * [taylor]: Taking taylor expansion of (- (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))))) in x
3.170 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
3.170 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.170 * [taylor]: Taking taylor expansion of x in x
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.170 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.170 * [taylor]: Taking taylor expansion of x in x
3.170 * [backup-simplify]: Simplify 0 into 0
3.170 * [backup-simplify]: Simplify 1 into 1
3.170 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.170 * [taylor]: Taking taylor expansion of 4.0 in x
3.170 * [backup-simplify]: Simplify 4.0 into 4.0
3.170 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.170 * [taylor]: Taking taylor expansion of y in x
3.170 * [backup-simplify]: Simplify y into y
3.171 * [backup-simplify]: Simplify (* 1 1) into 1
3.171 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.171 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.171 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.171 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow y 2))) into (/ 0.25 (pow y 2))
3.171 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2))))) in x
3.171 * [taylor]: Taking taylor expansion of 4.0 in x
3.171 * [backup-simplify]: Simplify 4.0 into 4.0
3.171 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow x 2) (* 4.0 (pow y 2)))) in x
3.171 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.171 * [taylor]: Taking taylor expansion of y in x
3.171 * [backup-simplify]: Simplify y into y
3.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.171 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.171 * [taylor]: Taking taylor expansion of x in x
3.171 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify 1 into 1
3.172 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.172 * [taylor]: Taking taylor expansion of 4.0 in x
3.172 * [backup-simplify]: Simplify 4.0 into 4.0
3.172 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.172 * [taylor]: Taking taylor expansion of y in x
3.172 * [backup-simplify]: Simplify y into y
3.172 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.172 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.172 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.172 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.172 * [backup-simplify]: Simplify (/ (pow y 2) (* 4.0 (pow y 2))) into 0.25
3.173 * [backup-simplify]: Simplify (* 4.0 0.25) into 1.0
3.173 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
3.174 * [backup-simplify]: Simplify (+ 0 (- 1.0)) into (- 1.0)
3.174 * [taylor]: Taking taylor expansion of (- 1.0) in y
3.174 * [taylor]: Taking taylor expansion of 1.0 in y
3.174 * [backup-simplify]: Simplify 1.0 into 1.0
3.174 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
3.174 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
3.174 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.175 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.175 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.175 * [backup-simplify]: Simplify (+ 0 0) into 0
3.176 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))))) into 0
3.176 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 0.25)) into 0
3.176 * [backup-simplify]: Simplify (- 0) into 0
3.177 * [backup-simplify]: Simplify (+ 0 0) into 0
3.177 * [taylor]: Taking taylor expansion of 0 in y
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.177 * [backup-simplify]: Simplify (- 0) into 0
3.177 * [backup-simplify]: Simplify 0 into 0
3.178 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.178 * [backup-simplify]: Simplify (* 1 1) into 1
3.178 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.179 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.179 * [backup-simplify]: Simplify (+ 1 0) into 1
3.180 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 1 (* 4.0 (pow y 2)))) (* 0 (/ 0 (* 4.0 (pow y 2)))))) into (- (* 0.0625 (/ 1 (pow y 2))))
3.181 * [backup-simplify]: Simplify (+ (* 4.0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25))) into (- (* 0.25 (/ 1 (pow y 2))))
3.181 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow y 2))))) into (* 0.25 (/ 1 (pow y 2)))
3.181 * [backup-simplify]: Simplify (+ (/ 0.25 (pow y 2)) (* 0.25 (/ 1 (pow y 2)))) into (* 0.5 (/ 1 (pow y 2)))
3.181 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (pow y 2))) in y
3.181 * [taylor]: Taking taylor expansion of 0.5 in y
3.181 * [backup-simplify]: Simplify 0.5 into 0.5
3.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.181 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.181 * [taylor]: Taking taylor expansion of y in y
3.181 * [backup-simplify]: Simplify 0 into 0
3.181 * [backup-simplify]: Simplify 1 into 1
3.182 * [backup-simplify]: Simplify (* 1 1) into 1
3.182 * [backup-simplify]: Simplify (/ 1 1) into 1
3.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.185 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 1))) into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.185 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify (- 0) into 0
3.186 * [backup-simplify]: Simplify 0 into 0
3.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.186 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.187 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.187 * [backup-simplify]: Simplify (+ 0 0) into 0
3.187 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* (/ 0.25 (pow y 2)) (/ 0 (* 4.0 (pow y 2)))))) into 0
3.188 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.189 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.190 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.190 * [backup-simplify]: Simplify (+ 0 0) into 0
3.191 * [backup-simplify]: Simplify (- (/ 0 (* 4.0 (pow y 2))) (+ (* 0.25 (/ 0 (* 4.0 (pow y 2)))) (* 0 (/ 1 (* 4.0 (pow y 2)))) (* (- (* 0.0625 (/ 1 (pow y 2)))) (/ 0 (* 4.0 (pow y 2)))))) into 0
3.192 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 (- (* 0.0625 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 0.25)))) into 0
3.192 * [backup-simplify]: Simplify (- 0) into 0
3.193 * [backup-simplify]: Simplify (+ 0 0) into 0
3.193 * [taylor]: Taking taylor expansion of 0 in y
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify 0 into 0
3.193 * [backup-simplify]: Simplify (- 1.0) into (- 1.0)
3.194 * [backup-simplify]: Simplify (- (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y)))) (/ (* (* (/ 1 y) 4.0) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))))
3.194 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0
3.194 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y
3.194 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y
3.194 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
3.194 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.194 * [taylor]: Taking taylor expansion of x in y
3.194 * [backup-simplify]: Simplify x into x
3.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.194 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.194 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.194 * [taylor]: Taking taylor expansion of x in y
3.194 * [backup-simplify]: Simplify x into x
3.194 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.194 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.194 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.194 * [taylor]: Taking taylor expansion of 4.0 in y
3.195 * [backup-simplify]: Simplify 4.0 into 4.0
3.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.195 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.195 * [taylor]: Taking taylor expansion of y in y
3.195 * [backup-simplify]: Simplify 0 into 0
3.195 * [backup-simplify]: Simplify 1 into 1
3.195 * [backup-simplify]: Simplify (* 1 1) into 1
3.195 * [backup-simplify]: Simplify (/ 1 1) into 1
3.195 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.196 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.196 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.196 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2))
3.196 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2))
3.196 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y
3.196 * [taylor]: Taking taylor expansion of 4.0 in y
3.196 * [backup-simplify]: Simplify 4.0 into 4.0
3.196 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y
3.196 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y
3.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.197 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.197 * [taylor]: Taking taylor expansion of x in y
3.197 * [backup-simplify]: Simplify x into x
3.197 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.197 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.197 * [taylor]: Taking taylor expansion of 4.0 in y
3.197 * [backup-simplify]: Simplify 4.0 into 4.0
3.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.197 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.197 * [taylor]: Taking taylor expansion of y in y
3.197 * [backup-simplify]: Simplify 0 into 0
3.197 * [backup-simplify]: Simplify 1 into 1
3.197 * [backup-simplify]: Simplify (* 1 1) into 1
3.198 * [backup-simplify]: Simplify (/ 1 1) into 1
3.198 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.198 * [taylor]: Taking taylor expansion of y in y
3.198 * [backup-simplify]: Simplify 0 into 0
3.198 * [backup-simplify]: Simplify 1 into 1
3.198 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.198 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.199 * [backup-simplify]: Simplify (* 1 1) into 1
3.199 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.199 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
3.199 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x
3.199 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x
3.200 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.200 * [taylor]: Taking taylor expansion of x in x
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.200 * [taylor]: Taking taylor expansion of x in x
3.200 * [backup-simplify]: Simplify 0 into 0
3.200 * [backup-simplify]: Simplify 1 into 1
3.200 * [backup-simplify]: Simplify (* 1 1) into 1
3.200 * [backup-simplify]: Simplify (/ 1 1) into 1
3.200 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.200 * [taylor]: Taking taylor expansion of 4.0 in x
3.201 * [backup-simplify]: Simplify 4.0 into 4.0
3.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.201 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.201 * [taylor]: Taking taylor expansion of y in x
3.201 * [backup-simplify]: Simplify y into y
3.201 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.201 * [backup-simplify]: Simplify (* 1 1) into 1
3.201 * [backup-simplify]: Simplify (+ 1 0) into 1
3.202 * [backup-simplify]: Simplify (* 1 1) into 1
3.202 * [backup-simplify]: Simplify (/ 1 1) into 1
3.202 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x
3.202 * [taylor]: Taking taylor expansion of 4.0 in x
3.202 * [backup-simplify]: Simplify 4.0 into 4.0
3.202 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x
3.202 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x
3.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.202 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.202 * [taylor]: Taking taylor expansion of x in x
3.202 * [backup-simplify]: Simplify 0 into 0
3.202 * [backup-simplify]: Simplify 1 into 1
3.203 * [backup-simplify]: Simplify (* 1 1) into 1
3.203 * [backup-simplify]: Simplify (/ 1 1) into 1
3.203 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.203 * [taylor]: Taking taylor expansion of 4.0 in x
3.203 * [backup-simplify]: Simplify 4.0 into 4.0
3.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.203 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.203 * [taylor]: Taking taylor expansion of y in x
3.203 * [backup-simplify]: Simplify y into y
3.204 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.204 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.204 * [taylor]: Taking taylor expansion of y in x
3.204 * [backup-simplify]: Simplify y into y
3.204 * [backup-simplify]: Simplify (+ 1 0) into 1
3.204 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.204 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.204 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.204 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x
3.204 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x
3.204 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.205 * [taylor]: Taking taylor expansion of x in x
3.205 * [backup-simplify]: Simplify 0 into 0
3.205 * [backup-simplify]: Simplify 1 into 1
3.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.205 * [taylor]: Taking taylor expansion of x in x
3.205 * [backup-simplify]: Simplify 0 into 0
3.205 * [backup-simplify]: Simplify 1 into 1
3.205 * [backup-simplify]: Simplify (* 1 1) into 1
3.205 * [backup-simplify]: Simplify (/ 1 1) into 1
3.205 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.205 * [taylor]: Taking taylor expansion of 4.0 in x
3.205 * [backup-simplify]: Simplify 4.0 into 4.0
3.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.205 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.205 * [taylor]: Taking taylor expansion of y in x
3.206 * [backup-simplify]: Simplify y into y
3.206 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.206 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.206 * [backup-simplify]: Simplify (* 1 1) into 1
3.206 * [backup-simplify]: Simplify (+ 1 0) into 1
3.207 * [backup-simplify]: Simplify (* 1 1) into 1
3.207 * [backup-simplify]: Simplify (/ 1 1) into 1
3.207 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x
3.207 * [taylor]: Taking taylor expansion of 4.0 in x
3.207 * [backup-simplify]: Simplify 4.0 into 4.0
3.207 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x
3.207 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x
3.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.207 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.207 * [taylor]: Taking taylor expansion of x in x
3.207 * [backup-simplify]: Simplify 0 into 0
3.207 * [backup-simplify]: Simplify 1 into 1
3.208 * [backup-simplify]: Simplify (* 1 1) into 1
3.208 * [backup-simplify]: Simplify (/ 1 1) into 1
3.208 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.208 * [taylor]: Taking taylor expansion of 4.0 in x
3.208 * [backup-simplify]: Simplify 4.0 into 4.0
3.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.208 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.208 * [taylor]: Taking taylor expansion of y in x
3.208 * [backup-simplify]: Simplify y into y
3.208 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.208 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.208 * [taylor]: Taking taylor expansion of y in x
3.208 * [backup-simplify]: Simplify y into y
3.209 * [backup-simplify]: Simplify (+ 1 0) into 1
3.209 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.209 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.209 * [backup-simplify]: Simplify (+ 1 0) into 1
3.209 * [taylor]: Taking taylor expansion of 1 in y
3.209 * [backup-simplify]: Simplify 1 into 1
3.209 * [backup-simplify]: Simplify 1 into 1
3.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.211 * [backup-simplify]: Simplify (+ 0 0) into 0
3.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.213 * [backup-simplify]: Simplify (+ 0 0) into 0
3.213 * [taylor]: Taking taylor expansion of 0 in y
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.213 * [backup-simplify]: Simplify 0 into 0
3.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.214 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.215 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
3.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.216 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2)))
3.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2))))
3.217 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.217 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.217 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2))))
3.217 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
3.217 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
3.217 * [taylor]: Taking taylor expansion of 8.0 in y
3.217 * [backup-simplify]: Simplify 8.0 into 8.0
3.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.218 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.218 * [taylor]: Taking taylor expansion of y in y
3.218 * [backup-simplify]: Simplify 0 into 0
3.218 * [backup-simplify]: Simplify 1 into 1
3.218 * [backup-simplify]: Simplify (* 1 1) into 1
3.218 * [backup-simplify]: Simplify (/ 1 1) into 1
3.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.221 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
3.222 * [backup-simplify]: Simplify (- 0) into 0
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 0 into 0
3.222 * [backup-simplify]: Simplify 0 into 0
3.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.223 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.224 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.224 * [backup-simplify]: Simplify (+ 0 0) into 0
3.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
3.227 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.229 * [backup-simplify]: Simplify (+ 0 0) into 0
3.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
3.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.230 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.230 * [backup-simplify]: Simplify (- 0) into 0
3.231 * [backup-simplify]: Simplify (+ 0 0) into 0
3.231 * [taylor]: Taking taylor expansion of 0 in y
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 0 into 0
3.231 * [backup-simplify]: Simplify 1 into 1
3.231 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))))) (/ (* (* (/ 1 (- y)) 4.0) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))))) into (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))))
3.232 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in (x y) around 0
3.232 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in y
3.232 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in y
3.232 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in y
3.232 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.232 * [taylor]: Taking taylor expansion of x in y
3.232 * [backup-simplify]: Simplify x into x
3.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.232 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.232 * [taylor]: Taking taylor expansion of x in y
3.232 * [backup-simplify]: Simplify x into x
3.232 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.232 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.232 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.232 * [taylor]: Taking taylor expansion of 4.0 in y
3.232 * [backup-simplify]: Simplify 4.0 into 4.0
3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.232 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.232 * [taylor]: Taking taylor expansion of y in y
3.232 * [backup-simplify]: Simplify 0 into 0
3.232 * [backup-simplify]: Simplify 1 into 1
3.233 * [backup-simplify]: Simplify (* 1 1) into 1
3.233 * [backup-simplify]: Simplify (/ 1 1) into 1
3.233 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.233 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.234 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.234 * [backup-simplify]: Simplify (* (pow x 2) 4.0) into (* 4.0 (pow x 2))
3.234 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow x 2))) into (/ 0.25 (pow x 2))
3.234 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in y
3.234 * [taylor]: Taking taylor expansion of 4.0 in y
3.234 * [backup-simplify]: Simplify 4.0 into 4.0
3.234 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in y
3.234 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in y
3.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.234 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.234 * [taylor]: Taking taylor expansion of x in y
3.234 * [backup-simplify]: Simplify x into x
3.234 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.234 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.234 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.234 * [taylor]: Taking taylor expansion of 4.0 in y
3.234 * [backup-simplify]: Simplify 4.0 into 4.0
3.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.234 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.234 * [taylor]: Taking taylor expansion of y in y
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 1 into 1
3.235 * [backup-simplify]: Simplify (* 1 1) into 1
3.235 * [backup-simplify]: Simplify (/ 1 1) into 1
3.235 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.235 * [taylor]: Taking taylor expansion of y in y
3.235 * [backup-simplify]: Simplify 0 into 0
3.235 * [backup-simplify]: Simplify 1 into 1
3.236 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.236 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
3.236 * [backup-simplify]: Simplify (* 1 1) into 1
3.237 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.237 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
3.237 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x
3.237 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x
3.237 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.237 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.237 * [taylor]: Taking taylor expansion of x in x
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.237 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.237 * [taylor]: Taking taylor expansion of x in x
3.237 * [backup-simplify]: Simplify 0 into 0
3.237 * [backup-simplify]: Simplify 1 into 1
3.238 * [backup-simplify]: Simplify (* 1 1) into 1
3.238 * [backup-simplify]: Simplify (/ 1 1) into 1
3.238 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.238 * [taylor]: Taking taylor expansion of 4.0 in x
3.238 * [backup-simplify]: Simplify 4.0 into 4.0
3.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.238 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.238 * [taylor]: Taking taylor expansion of y in x
3.238 * [backup-simplify]: Simplify y into y
3.238 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.239 * [backup-simplify]: Simplify (* 1 1) into 1
3.239 * [backup-simplify]: Simplify (+ 1 0) into 1
3.243 * [backup-simplify]: Simplify (* 1 1) into 1
3.244 * [backup-simplify]: Simplify (/ 1 1) into 1
3.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x
3.244 * [taylor]: Taking taylor expansion of 4.0 in x
3.244 * [backup-simplify]: Simplify 4.0 into 4.0
3.244 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x
3.244 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x
3.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.244 * [taylor]: Taking taylor expansion of x in x
3.244 * [backup-simplify]: Simplify 0 into 0
3.244 * [backup-simplify]: Simplify 1 into 1
3.245 * [backup-simplify]: Simplify (* 1 1) into 1
3.245 * [backup-simplify]: Simplify (/ 1 1) into 1
3.245 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.245 * [taylor]: Taking taylor expansion of 4.0 in x
3.245 * [backup-simplify]: Simplify 4.0 into 4.0
3.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.245 * [taylor]: Taking taylor expansion of y in x
3.245 * [backup-simplify]: Simplify y into y
3.245 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.245 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.245 * [taylor]: Taking taylor expansion of y in x
3.245 * [backup-simplify]: Simplify y into y
3.246 * [backup-simplify]: Simplify (+ 1 0) into 1
3.246 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.246 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.246 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.246 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))))) in x
3.246 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))))) in x
3.246 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))) in x
3.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.246 * [taylor]: Taking taylor expansion of x in x
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 1 into 1
3.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.246 * [taylor]: Taking taylor expansion of x in x
3.246 * [backup-simplify]: Simplify 0 into 0
3.246 * [backup-simplify]: Simplify 1 into 1
3.247 * [backup-simplify]: Simplify (* 1 1) into 1
3.247 * [backup-simplify]: Simplify (/ 1 1) into 1
3.247 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.247 * [taylor]: Taking taylor expansion of 4.0 in x
3.247 * [backup-simplify]: Simplify 4.0 into 4.0
3.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.247 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.247 * [taylor]: Taking taylor expansion of y in x
3.247 * [backup-simplify]: Simplify y into y
3.247 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.248 * [backup-simplify]: Simplify (* 1 1) into 1
3.248 * [backup-simplify]: Simplify (+ 1 0) into 1
3.248 * [backup-simplify]: Simplify (* 1 1) into 1
3.249 * [backup-simplify]: Simplify (/ 1 1) into 1
3.249 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)))) in x
3.249 * [taylor]: Taking taylor expansion of 4.0 in x
3.249 * [backup-simplify]: Simplify 4.0 into 4.0
3.249 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2))) in x
3.249 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) (pow y 2)) in x
3.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.249 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.249 * [taylor]: Taking taylor expansion of x in x
3.249 * [backup-simplify]: Simplify 0 into 0
3.249 * [backup-simplify]: Simplify 1 into 1
3.249 * [backup-simplify]: Simplify (* 1 1) into 1
3.250 * [backup-simplify]: Simplify (/ 1 1) into 1
3.250 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.250 * [taylor]: Taking taylor expansion of 4.0 in x
3.250 * [backup-simplify]: Simplify 4.0 into 4.0
3.250 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.250 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.250 * [taylor]: Taking taylor expansion of y in x
3.250 * [backup-simplify]: Simplify y into y
3.250 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.250 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.250 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.250 * [taylor]: Taking taylor expansion of y in x
3.250 * [backup-simplify]: Simplify y into y
3.250 * [backup-simplify]: Simplify (+ 1 0) into 1
3.250 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.251 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
3.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.251 * [backup-simplify]: Simplify (+ 1 0) into 1
3.251 * [taylor]: Taking taylor expansion of 1 in y
3.251 * [backup-simplify]: Simplify 1 into 1
3.251 * [backup-simplify]: Simplify 1 into 1
3.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.253 * [backup-simplify]: Simplify (+ 0 0) into 0
3.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.255 * [backup-simplify]: Simplify (+ 0 0) into 0
3.255 * [taylor]: Taking taylor expansion of 0 in y
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify 0 into 0
3.255 * [backup-simplify]: Simplify 0 into 0
3.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.257 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.257 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
3.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.258 * [backup-simplify]: Simplify (+ (* 1 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1))) into (* 4.0 (/ 1 (pow y 2)))
3.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (- (* 4.0 (/ 1 (pow y 2))))
3.259 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.259 * [backup-simplify]: Simplify (- (/ 4.0 (pow y 2))) into (- (* 4.0 (/ 1 (pow y 2))))
3.259 * [backup-simplify]: Simplify (+ (- (* 4.0 (/ 1 (pow y 2)))) (- (* 4.0 (/ 1 (pow y 2))))) into (- (* 8.0 (/ 1 (pow y 2))))
3.260 * [taylor]: Taking taylor expansion of (- (* 8.0 (/ 1 (pow y 2)))) in y
3.260 * [taylor]: Taking taylor expansion of (* 8.0 (/ 1 (pow y 2))) in y
3.260 * [taylor]: Taking taylor expansion of 8.0 in y
3.260 * [backup-simplify]: Simplify 8.0 into 8.0
3.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.260 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.260 * [taylor]: Taking taylor expansion of y in y
3.260 * [backup-simplify]: Simplify 0 into 0
3.260 * [backup-simplify]: Simplify 1 into 1
3.260 * [backup-simplify]: Simplify (* 1 1) into 1
3.260 * [backup-simplify]: Simplify (/ 1 1) into 1
3.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.264 * [backup-simplify]: Simplify (+ (* 8.0 0) (+ (* 0 0) (* 0 1))) into 0
3.264 * [backup-simplify]: Simplify (- 0) into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.264 * [backup-simplify]: Simplify 0 into 0
3.265 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.266 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.266 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.267 * [backup-simplify]: Simplify (+ 0 0) into 0
3.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (* 4.0 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1)))) into 0
3.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (* 4.0 (/ 1 (pow y 2))) 1)) (* (- (* 4.0 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
3.270 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.271 * [backup-simplify]: Simplify (+ 0 0) into 0
3.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
3.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.272 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.272 * [backup-simplify]: Simplify (- 0) into 0
3.273 * [backup-simplify]: Simplify (+ 0 0) into 0
3.273 * [taylor]: Taking taylor expansion of 0 in y
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 0 into 0
3.273 * [backup-simplify]: Simplify 1 into 1
3.273 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 2)
3.273 * [backup-simplify]: Simplify (+ (* x x) (* (* y 4.0) y)) into (+ (pow x 2) (* 4.0 (pow y 2)))
3.273 * [approximate]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in (x y) around 0
3.273 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in y
3.273 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.273 * [taylor]: Taking taylor expansion of x in y
3.273 * [backup-simplify]: Simplify x into x
3.273 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.273 * [taylor]: Taking taylor expansion of 4.0 in y
3.273 * [backup-simplify]: Simplify 4.0 into 4.0
3.273 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.274 * [taylor]: Taking taylor expansion of y in y
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.274 * [taylor]: Taking taylor expansion of x in x
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.274 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.274 * [taylor]: Taking taylor expansion of 4.0 in x
3.274 * [backup-simplify]: Simplify 4.0 into 4.0
3.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.274 * [taylor]: Taking taylor expansion of y in x
3.274 * [backup-simplify]: Simplify y into y
3.274 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 4.0 (pow y 2))) in x
3.274 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.274 * [taylor]: Taking taylor expansion of x in x
3.274 * [backup-simplify]: Simplify 0 into 0
3.274 * [backup-simplify]: Simplify 1 into 1
3.274 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in x
3.274 * [taylor]: Taking taylor expansion of 4.0 in x
3.274 * [backup-simplify]: Simplify 4.0 into 4.0
3.274 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.274 * [taylor]: Taking taylor expansion of y in x
3.274 * [backup-simplify]: Simplify y into y
3.274 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.274 * [backup-simplify]: Simplify (* 4.0 (pow y 2)) into (* 4.0 (pow y 2))
3.274 * [backup-simplify]: Simplify (+ 0 (* 4.0 (pow y 2))) into (* 4.0 (pow y 2))
3.274 * [taylor]: Taking taylor expansion of (* 4.0 (pow y 2)) in y
3.274 * [taylor]: Taking taylor expansion of 4.0 in y
3.275 * [backup-simplify]: Simplify 4.0 into 4.0
3.275 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.275 * [taylor]: Taking taylor expansion of y in y
3.275 * [backup-simplify]: Simplify 0 into 0
3.275 * [backup-simplify]: Simplify 1 into 1
3.275 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.275 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (pow y 2))) into 0
3.275 * [backup-simplify]: Simplify (+ 0 0) into 0
3.275 * [taylor]: Taking taylor expansion of 0 in y
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify 0 into 0
3.276 * [backup-simplify]: Simplify (* 1 1) into 1
3.276 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.277 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (pow y 2)))) into 0
3.277 * [backup-simplify]: Simplify (+ 1 0) into 1
3.277 * [taylor]: Taking taylor expansion of 1 in y
3.277 * [backup-simplify]: Simplify 1 into 1
3.277 * [backup-simplify]: Simplify 1 into 1
3.278 * [backup-simplify]: Simplify 0 into 0
3.278 * [backup-simplify]: Simplify (* 1 1) into 1
3.278 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.278 * [backup-simplify]: Simplify 4.0 into 4.0
3.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.279 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.280 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2))))) into 0
3.281 * [backup-simplify]: Simplify (+ 0 0) into 0
3.281 * [taylor]: Taking taylor expansion of 0 in y
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify 0 into 0
3.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.282 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.282 * [backup-simplify]: Simplify 0 into 0
3.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.284 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.285 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow y 2)))))) into 0
3.285 * [backup-simplify]: Simplify (+ 0 0) into 0
3.285 * [taylor]: Taking taylor expansion of 0 in y
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.285 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify (+ (* 4.0 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
3.286 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (* (/ 1 y) 4.0) (/ 1 y))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
3.286 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
3.286 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.286 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.286 * [taylor]: Taking taylor expansion of x in y
3.286 * [backup-simplify]: Simplify x into x
3.286 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.286 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.286 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.286 * [taylor]: Taking taylor expansion of 4.0 in y
3.286 * [backup-simplify]: Simplify 4.0 into 4.0
3.286 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.286 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.286 * [taylor]: Taking taylor expansion of y in y
3.286 * [backup-simplify]: Simplify 0 into 0
3.286 * [backup-simplify]: Simplify 1 into 1
3.287 * [backup-simplify]: Simplify (* 1 1) into 1
3.287 * [backup-simplify]: Simplify (/ 1 1) into 1
3.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.287 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.287 * [taylor]: Taking taylor expansion of x in x
3.287 * [backup-simplify]: Simplify 0 into 0
3.287 * [backup-simplify]: Simplify 1 into 1
3.288 * [backup-simplify]: Simplify (* 1 1) into 1
3.288 * [backup-simplify]: Simplify (/ 1 1) into 1
3.288 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.288 * [taylor]: Taking taylor expansion of 4.0 in x
3.288 * [backup-simplify]: Simplify 4.0 into 4.0
3.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.288 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.288 * [taylor]: Taking taylor expansion of y in x
3.288 * [backup-simplify]: Simplify y into y
3.288 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.288 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.288 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.288 * [taylor]: Taking taylor expansion of x in x
3.288 * [backup-simplify]: Simplify 0 into 0
3.288 * [backup-simplify]: Simplify 1 into 1
3.289 * [backup-simplify]: Simplify (* 1 1) into 1
3.289 * [backup-simplify]: Simplify (/ 1 1) into 1
3.289 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.289 * [taylor]: Taking taylor expansion of 4.0 in x
3.289 * [backup-simplify]: Simplify 4.0 into 4.0
3.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.289 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.289 * [taylor]: Taking taylor expansion of y in x
3.289 * [backup-simplify]: Simplify y into y
3.289 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.289 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.290 * [backup-simplify]: Simplify (+ 1 0) into 1
3.290 * [taylor]: Taking taylor expansion of 1 in y
3.290 * [backup-simplify]: Simplify 1 into 1
3.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.291 * [backup-simplify]: Simplify (+ 0 0) into 0
3.291 * [taylor]: Taking taylor expansion of 0 in y
3.291 * [backup-simplify]: Simplify 0 into 0
3.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.293 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.293 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
3.293 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.293 * [taylor]: Taking taylor expansion of 4.0 in y
3.293 * [backup-simplify]: Simplify 4.0 into 4.0
3.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.293 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.293 * [taylor]: Taking taylor expansion of y in y
3.293 * [backup-simplify]: Simplify 0 into 0
3.293 * [backup-simplify]: Simplify 1 into 1
3.294 * [backup-simplify]: Simplify (* 1 1) into 1
3.294 * [backup-simplify]: Simplify (/ 1 1) into 1
3.294 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.294 * [backup-simplify]: Simplify 4.0 into 4.0
3.294 * [backup-simplify]: Simplify 1 into 1
3.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.296 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.297 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.297 * [backup-simplify]: Simplify (+ 0 0) into 0
3.297 * [taylor]: Taking taylor expansion of 0 in y
3.297 * [backup-simplify]: Simplify 0 into 0
3.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.299 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 0 into 0
3.299 * [backup-simplify]: Simplify 0 into 0
3.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.301 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.302 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
3.302 * [backup-simplify]: Simplify (+ 0 0) into 0
3.302 * [taylor]: Taking taylor expansion of 0 in y
3.302 * [backup-simplify]: Simplify 0 into 0
3.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.305 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify 0 into 0
3.305 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
3.305 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (* (/ 1 (- y)) 4.0) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2))))
3.305 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in (x y) around 0
3.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in y
3.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.306 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.306 * [taylor]: Taking taylor expansion of x in y
3.306 * [backup-simplify]: Simplify x into x
3.306 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.306 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.306 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.306 * [taylor]: Taking taylor expansion of 4.0 in y
3.306 * [backup-simplify]: Simplify 4.0 into 4.0
3.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.306 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.306 * [taylor]: Taking taylor expansion of y in y
3.306 * [backup-simplify]: Simplify 0 into 0
3.306 * [backup-simplify]: Simplify 1 into 1
3.306 * [backup-simplify]: Simplify (* 1 1) into 1
3.307 * [backup-simplify]: Simplify (/ 1 1) into 1
3.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.307 * [taylor]: Taking taylor expansion of x in x
3.307 * [backup-simplify]: Simplify 0 into 0
3.307 * [backup-simplify]: Simplify 1 into 1
3.307 * [backup-simplify]: Simplify (* 1 1) into 1
3.307 * [backup-simplify]: Simplify (/ 1 1) into 1
3.307 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.307 * [taylor]: Taking taylor expansion of 4.0 in x
3.307 * [backup-simplify]: Simplify 4.0 into 4.0
3.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.308 * [taylor]: Taking taylor expansion of y in x
3.308 * [backup-simplify]: Simplify y into y
3.308 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 4.0 (/ 1 (pow y 2)))) in x
3.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.308 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.308 * [taylor]: Taking taylor expansion of x in x
3.308 * [backup-simplify]: Simplify 0 into 0
3.308 * [backup-simplify]: Simplify 1 into 1
3.308 * [backup-simplify]: Simplify (* 1 1) into 1
3.308 * [backup-simplify]: Simplify (/ 1 1) into 1
3.309 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in x
3.309 * [taylor]: Taking taylor expansion of 4.0 in x
3.309 * [backup-simplify]: Simplify 4.0 into 4.0
3.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.309 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.309 * [taylor]: Taking taylor expansion of y in x
3.309 * [backup-simplify]: Simplify y into y
3.309 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.309 * [backup-simplify]: Simplify (+ 1 0) into 1
3.309 * [taylor]: Taking taylor expansion of 1 in y
3.309 * [backup-simplify]: Simplify 1 into 1
3.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.311 * [backup-simplify]: Simplify (+ 0 0) into 0
3.311 * [taylor]: Taking taylor expansion of 0 in y
3.311 * [backup-simplify]: Simplify 0 into 0
3.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.312 * [backup-simplify]: Simplify (* 4.0 (/ 1 (pow y 2))) into (/ 4.0 (pow y 2))
3.313 * [backup-simplify]: Simplify (+ 0 (/ 4.0 (pow y 2))) into (* 4.0 (/ 1 (pow y 2)))
3.313 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow y 2))) in y
3.313 * [taylor]: Taking taylor expansion of 4.0 in y
3.313 * [backup-simplify]: Simplify 4.0 into 4.0
3.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.313 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.313 * [taylor]: Taking taylor expansion of y in y
3.313 * [backup-simplify]: Simplify 0 into 0
3.313 * [backup-simplify]: Simplify 1 into 1
3.313 * [backup-simplify]: Simplify (* 1 1) into 1
3.313 * [backup-simplify]: Simplify (/ 1 1) into 1
3.314 * [backup-simplify]: Simplify (* 4.0 1) into 4.0
3.314 * [backup-simplify]: Simplify 4.0 into 4.0
3.314 * [backup-simplify]: Simplify 1 into 1
3.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.315 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.316 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 (pow y 2)))) into 0
3.317 * [backup-simplify]: Simplify (+ 0 0) into 0
3.317 * [taylor]: Taking taylor expansion of 0 in y
3.317 * [backup-simplify]: Simplify 0 into 0
3.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.319 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.319 * [backup-simplify]: Simplify 0 into 0
3.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.321 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.322 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 (/ 1 (pow y 2))))) into 0
3.322 * [backup-simplify]: Simplify (+ 0 0) into 0
3.322 * [taylor]: Taking taylor expansion of 0 in y
3.322 * [backup-simplify]: Simplify 0 into 0
3.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.324 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.324 * [backup-simplify]: Simplify 0 into 0
3.325 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 4.0 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (* 4.0 (pow y 2)))
3.325 * * * [progress]: simplifying candidates
3.327 * [simplify]: Simplifying:
  (- (+ (+ (log y) (log 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y))))
  (- (+ (log (* y 4.0)) (log y)) (log (+ (* x x) (* (* y 4.0) y))))
  (- (log (* (* y 4.0) y)) (log (+ (* x x) (* (* y 4.0) y))))
  (log (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (/ (* (* (* (* y y) y) (* (* 4.0 4.0) 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
  (/ (* (* (* (* y 4.0) (* y 4.0)) (* y 4.0)) (* (* y y) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
  (/ (* (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* y 4.0) y)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (* (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (- (* (* y 4.0) y))
  (- (+ (* x x) (* (* y 4.0) y)))
  (/ (* y 4.0) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ y (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* y 4.0) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ y (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* y 4.0) 1)
  (/ y (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y))
  (/ (* (* y 4.0) y) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (* (* y 4.0) y) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* (* y 4.0) y) 1)
  (/ (+ (* x x) (* (* y 4.0) y)) y)
  (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))
  (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))
  (- (+ (log x) (log x)) (log (+ (* x x) (* (* y 4.0) y))))
  (- (log (* x x)) (log (+ (* x x) (* (* y 4.0) y))))
  (log (/ (* x x) (+ (* x x) (* (* y 4.0) y))))
  (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y))))
  (/ (* (* (* x x) x) (* (* x x) x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
  (/ (* (* (* x x) (* x x)) (* x x)) (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y))))
  (* (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))))
  (cbrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))
  (* (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (/ (* x x) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))
  (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y))))
  (- (* x x))
  (- (+ (* x x) (* (* y 4.0) y)))
  (/ x (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ x (cbrt (+ (* x x) (* (* y 4.0) y))))
  (/ x (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ x (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ x 1)
  (/ x (+ (* x x) (* (* y 4.0) y)))
  (/ 1 (+ (* x x) (* (* y 4.0) y)))
  (/ (+ (* x x) (* (* y 4.0) y)) (* x x))
  (/ (* x x) (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y)))))
  (/ (* x x) (sqrt (+ (* x x) (* (* y 4.0) y))))
  (/ (* x x) 1)
  (/ (+ (* x x) (* (* y 4.0) y)) x)
  (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3)))
  (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y))))
  (/ (exp (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (log (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (* (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
  (cbrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (* (* (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (sqrt (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (- (* x x) (* (* y 4.0) y))
  (- (* (* x x) (+ (* x x) (* (* y 4.0) y))) (* (+ (* x x) (* (* y 4.0) y)) (* (* y 4.0) y)))
  (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))
  (- (pow (/ (* x x) (+ (* x x) (* (* y 4.0) y))) 3) (pow (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) 3))
  (+ (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (+ (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
  (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (- (* (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (* (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (+ (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (+ (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (- (sqrt (/ (* x x) (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (+ (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (- (/ x (sqrt (+ (* x x) (* (* y 4.0) y)))) (sqrt (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
  (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (- (* x x) (* (* y 4.0) y))
  (- (/ (* x x) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))) (/ (* (* y 4.0) y) (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))))
  (- (/ (* x x) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))) (/ (* (* y 4.0) y) (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))))
  (- (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
  (* (exp (* x x)) (exp (* (* y 4.0) y)))
  (log (+ (* x x) (* (* y 4.0) y)))
  (exp (+ (* x x) (* (* y 4.0) y)))
  (* (cbrt (+ (* x x) (* (* y 4.0) y))) (cbrt (+ (* x x) (* (* y 4.0) y))))
  (cbrt (+ (* x x) (* (* y 4.0) y)))
  (* (* (+ (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (sqrt (+ (* x x) (* (* y 4.0) y)))
  (+ (pow (* x x) 3) (pow (* (* y 4.0) y) 3))
  (+ (* (* x x) (* x x)) (- (* (* (* y 4.0) y) (* (* y 4.0) y)) (* (* x x) (* (* y 4.0) y))))
  (- (* (* x x) (* x x)) (* (* (* y 4.0) y) (* (* y 4.0) y)))
  (- (* x x) (* (* y 4.0) y))
  0
  0
  0
  0
  0
  0
  (- 1.0)
  1
  1
  (+ (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
  (+ (pow x 2) (* 4.0 (pow y 2)))
3.328 * [simplify]: Sending expressions to egg_math:
 (- (+ (+ (log h0) (log 4.0)) (log h0)) (log (+ (* h1 h1) (* (* h0 4.0) h0))))
 (- (+ (log (* h0 4.0)) (log h0)) (log (+ (* h1 h1) (* (* h0 4.0) h0))))
 (- (log (* (* h0 4.0) h0)) (log (+ (* h1 h1) (* (* h0 4.0) h0))))
 (log (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (exp (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (* (* (* h0 h0) h0) (* (* 4.0 4.0) 4.0)) (* (* h0 h0) h0)) (* (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (* (* (* h0 4.0) (* h0 4.0)) (* h0 4.0)) (* (* h0 h0) h0)) (* (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)) (* (* h0 4.0) h0)) (* (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (* (cbrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))) (cbrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (cbrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (* (* (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (sqrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (sqrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (- (* (* h0 4.0) h0))
 (- (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (* h0 4.0) (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (/ h0 (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* h0 4.0) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ h0 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* h0 4.0) 1)
 (/ h0 (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ 1 (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (+ (* h1 h1) (* (* h0 4.0) h0)) (* (* h0 4.0) h0))
 (/ (* (* h0 4.0) h0) (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (/ (* (* h0 4.0) h0) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (* h0 4.0) h0) 1)
 (/ (+ (* h1 h1) (* (* h0 4.0) h0)) h0)
 (/ (* (* h0 4.0) h0) (+ (pow (* h1 h1) 3) (pow (* (* h0 4.0) h0) 3)))
 (/ (* (* h0 4.0) h0) (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 4.0) h0) (* (* h0 4.0) h0))))
 (- (+ (log h1) (log h1)) (log (+ (* h1 h1) (* (* h0 4.0) h0))))
 (- (log (* h1 h1)) (log (+ (* h1 h1) (* (* h0 4.0) h0))))
 (log (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (exp (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (* (* h1 h1) h1) (* (* h1 h1) h1)) (* (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* (* (* h1 h1) (* h1 h1)) (* h1 h1)) (* (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (* (cbrt (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))) (cbrt (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (cbrt (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (* (* (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))) (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (sqrt (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (sqrt (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (- (* h1 h1))
 (- (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ h1 (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (/ h1 (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ h1 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ h1 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ h1 1)
 (/ h1 (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ 1 (+ (* h1 h1) (* (* h0 4.0) h0)))
 (/ (+ (* h1 h1) (* (* h0 4.0) h0)) (* h1 h1))
 (/ (* h1 h1) (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (/ (* h1 h1) (sqrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (/ (* h1 h1) 1)
 (/ (+ (* h1 h1) (* (* h0 4.0) h0)) h1)
 (/ (* h1 h1) (+ (pow (* h1 h1) 3) (pow (* (* h0 4.0) h0) 3)))
 (/ (* h1 h1) (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 4.0) h0) (* (* h0 4.0) h0))))
 (/ (exp (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))) (exp (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (log (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (exp (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (* (cbrt (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))) (cbrt (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))))
 (cbrt (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (* (* (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))) (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))) (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (sqrt (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (sqrt (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (- (* h1 h1) (* (* h0 4.0) h0))
 (- (* (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (* (+ (* h1 h1) (* (* h0 4.0) h0)) (* (* h0 4.0) h0)))
 (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (- (pow (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) 3) (pow (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))) 3))
 (+ (* (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))) (+ (* (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))) (* (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))))
 (- (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (- (* (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))) (* (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (+ (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (+ (sqrt (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))) (sqrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (- (sqrt (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0)))) (sqrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (+ (/ h1 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0)))) (sqrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (- (/ h1 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0)))) (sqrt (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))))
 (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (- (* h1 h1) (* (* h0 4.0) h0))
 (- (/ (* h1 h1) (+ (pow (* h1 h1) 3) (pow (* (* h0 4.0) h0) 3))) (/ (* (* h0 4.0) h0) (+ (pow (* h1 h1) 3) (pow (* (* h0 4.0) h0) 3))))
 (- (/ (* h1 h1) (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)))) (/ (* (* h0 4.0) h0) (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)))))
 (- (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0))))
 (* (exp (* h1 h1)) (exp (* (* h0 4.0) h0)))
 (log (+ (* h1 h1) (* (* h0 4.0) h0)))
 (exp (+ (* h1 h1) (* (* h0 4.0) h0)))
 (* (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))) (cbrt (+ (* h1 h1) (* (* h0 4.0) h0))))
 (cbrt (+ (* h1 h1) (* (* h0 4.0) h0)))
 (* (* (+ (* h1 h1) (* (* h0 4.0) h0)) (+ (* h1 h1) (* (* h0 4.0) h0))) (+ (* h1 h1) (* (* h0 4.0) h0)))
 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0)))
 (sqrt (+ (* h1 h1) (* (* h0 4.0) h0)))
 (+ (pow (* h1 h1) 3) (pow (* (* h0 4.0) h0) 3))
 (+ (* (* h1 h1) (* h1 h1)) (- (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)) (* (* h1 h1) (* (* h0 4.0) h0))))
 (- (* (* h1 h1) (* h1 h1)) (* (* (* h0 4.0) h0) (* (* h0 4.0) h0)))
 (- (* h1 h1) (* (* h0 4.0) h0))
 0
 0
 0
 0
 0
 0
 (- 1.0)
 1
 1
 (+ (pow h1 2) (* 4.0 (pow h0 2)))
 (+ (pow h1 2) (* 4.0 (pow h0 2)))
 (+ (pow h1 2) (* 4.0 (pow h0 2)))
4.106 * * * [progress]: adding candidates to table
4.338 * * [progress]: iteration 4 / 4
4.339 * * * [progress]: picking best candidate
4.340 * * * * [pick]: Picked  #<alt (λ (x y) 1)>
4.340 * * * [progress]: localizing error
4.340 * * * [progress]: generating rewritten candidates
4.340 * * * [progress]: generating series expansions
4.340 * * * [progress]: simplifying candidates
4.341 * [simplify]: Simplifying:
  
4.341 * [simplify]: Sending expressions to egg_math:
 
4.355 * * * [progress]: adding candidates to table
4.356 * [progress]: [Phase 3 of 3] Extracting.
4.356 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.360 * * * [regime-changes]: Trying 5 branch expressions: ((* (* y 4.0) y) (* x x) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) y x)
4.360 * * * * [regimes]: Trying to branch on (* (* y 4.0) y) from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.388 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.422 * * * * [regimes]: Trying to branch on (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.436 * * * * [regimes]: Trying to branch on (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) from (#<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.451 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.494 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.539 * * * [regime]: Found split indices: #<option (#s(si 1 89) #s(si 0 106) #s(si 1 117) #s(si 0 178) #s(si 3 255))>
4.540 * [binary-search]: Improving bounds with binary search for (* x x) and (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.686 * [regimes]: Found splitpoints: (#s(sp 1 (* x x) 1.3761225097425309e-251) #s(sp 0 (* x x) 2.2855828523657932e-180) #s(sp 1 (* x x) 1.220088560819747e-131) #s(sp 0 (* x x) 6.180077099071457e+191) #s(sp 3 (* x x) +nan.0)) , with alts (#<alt (λ (x y) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))> #<alt (λ (x y) -1.0)> #<alt (λ (x y) (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))> #<alt (λ (x y) 1)>)
4.686 * [simplify]: Simplifying:
  (if (<= (* x x) 1.3761225097425309e-251) -1.0 (if (<= (* x x) 2.2855828523657932e-180) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) (if (<= (* x x) 1.220088560819747e-131) -1.0 (if (<= (* x x) 6.180077099071457e+191) (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))) 1))))
4.686 * [simplify]: Sending expressions to egg_math:
 (if (<= (* h1 h1) h4) -1.0 (if (<= (* h1 h1) h3) (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))) (if (<= (* h1 h1) h2) -1.0 (if (<= (* h1 h1) 6.180077099071457e+191) (- (/ (* h1 h1) (+ (* h1 h1) (* (* h0 4.0) h0))) (/ (* (* h0 4.0) h0) (+ (* h1 h1) (* (* h0 4.0) h0)))) 1))))
6.127 * [regime-testing]: Baseline error score: 31.53940705704105
6.129 * [regime-testing]: Oracle error score: 0.411595445072517
6.133 * [regime-testing]: End program error score: 12.68504024873121
6.181 * [regime-testing]: Target error score: 31.490077373331754