30.808 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.031 * * * [progress]: [2/2] Setting up program.
0.033 * [progress]: [Phase 2 of 3] Improving.
0.033 * [simplify]: Simplifying:
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
0.033 * * [simplify]: Extracting # 0 : cost  0
0.033 * * [simplify]: Extracting # 1 : cost  0
0.033 * * [simplify]: Extracting # 2 : cost  0
0.033 * * [simplify]: Extracting # 3 : cost  0
0.033 * * [simplify]: Extracting # 4 : cost  0
0.033 * * [simplify]: Extracting # 5 : cost  0
0.033 * * [simplify]: iteration  0 :  9  enodes  (cost  15 )
0.035 * * [simplify]: Extracting # 0 : cost  0
0.035 * * [simplify]: Extracting # 1 : cost  0
0.035 * * [simplify]: Extracting # 2 : cost  0
0.035 * * [simplify]: iteration  1 :  22  enodes  (cost  15 )
0.039 * * [simplify]: Extracting # 0 : cost  0
0.039 * * [simplify]: Extracting # 1 : cost  0
0.039 * * [simplify]: Extracting # 2 : cost  0
0.039 * * [simplify]: iteration  2 :  48  enodes  (cost  15 )
0.048 * * [simplify]: Extracting # 0 : cost  0
0.048 * * [simplify]: Extracting # 1 : cost  0
0.048 * * [simplify]: Extracting # 2 : cost  0
0.049 * * [simplify]: iteration  3 :  101  enodes  (cost  15 )
0.076 * * [simplify]: Extracting # 0 : cost  0
0.077 * * [simplify]: Extracting # 1 : cost  0
0.077 * * [simplify]: Extracting # 2 : cost  0
0.077 * * [simplify]: iteration  4 :  188  enodes  (cost  15 )
0.435 * * [simplify]: Extracting # 0 : cost  0
0.435 * * [simplify]: Extracting # 1 : cost  0
0.436 * * [simplify]: Extracting # 2 : cost  0
0.436 * * [simplify]: Extracting # 3 : cost  0
0.436 * * [simplify]: iteration  5 :  346  enodes  (cost  15 )
0.588 * * [simplify]: Extracting # 0 : cost  0
0.589 * * [simplify]: Extracting # 1 : cost  0
0.590 * * [simplify]: Extracting # 2 : cost  0
0.591 * * [simplify]: Extracting # 3 : cost  0
0.592 * * [simplify]: Extracting # 4 : cost  0
0.593 * * [simplify]: iteration  6 :  579  enodes  (cost  15 )
0.898 * * [simplify]: Extracting # 0 : cost  0
0.899 * * [simplify]: Extracting # 1 : cost  0
0.900 * * [simplify]: Extracting # 2 : cost  0
0.901 * * [simplify]: iteration  7 :  875  enodes  (cost  15 )
1.848 * * [simplify]: Extracting # 0 : cost  0
1.851 * * [simplify]: Extracting # 1 : cost  0
1.854 * * [simplify]: Extracting # 2 : cost  0
1.856 * * [simplify]: iteration  8 :  2271  enodes  (cost  15 )
4.088 * * [simplify]: Extracting # 0 : cost  0
4.094 * * [simplify]: Extracting # 1 : cost  0
4.098 * * [simplify]: Extracting # 2 : cost  0
4.102 * * [simplify]: Extracting # 3 : cost  0
4.106 * * [simplify]: Extracting # 4 : cost  0
4.109 * * [simplify]: iteration done:  5000  enodes  (cost  15 )
4.109 * [simplify]: Simplified to:
  (* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
4.112 * * [progress]: iteration 1 / 4
4.112 * * * [progress]: picking best candidate
4.115 * * * * [pick]: Picked  #<alt (λ (x y) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))>
4.115 * * * [progress]: localizing error
4.125 * * * [progress]: generating rewritten candidates
4.126 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
4.175 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
4.184 * * * [progress]: generating series expansions
4.184 * * * * [progress]: [ 1 / 2 ] generating series at (2)
4.185 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))
4.185 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0
4.185 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y
4.185 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
4.185 * [taylor]: Taking taylor expansion of (+ x y) in y
4.185 * [taylor]: Taking taylor expansion of x in y
4.185 * [backup-simplify]: Simplify x into x
4.185 * [taylor]: Taking taylor expansion of y in y
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [taylor]: Taking taylor expansion of (- x y) in y
4.185 * [taylor]: Taking taylor expansion of x in y
4.185 * [backup-simplify]: Simplify x into x
4.185 * [taylor]: Taking taylor expansion of y in y
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.185 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.185 * [taylor]: Taking taylor expansion of x in y
4.185 * [backup-simplify]: Simplify x into x
4.185 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.185 * [taylor]: Taking taylor expansion of y in y
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.185 * [backup-simplify]: Simplify (+ x 0) into x
4.186 * [backup-simplify]: Simplify (- 0) into 0
4.186 * [backup-simplify]: Simplify (+ x 0) into x
4.186 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.186 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.186 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.186 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
4.186 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
4.186 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.186 * [taylor]: Taking taylor expansion of (+ x y) in x
4.186 * [taylor]: Taking taylor expansion of x in x
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 1 into 1
4.186 * [taylor]: Taking taylor expansion of y in x
4.186 * [backup-simplify]: Simplify y into y
4.186 * [taylor]: Taking taylor expansion of (- x y) in x
4.186 * [taylor]: Taking taylor expansion of x in x
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 1 into 1
4.186 * [taylor]: Taking taylor expansion of y in x
4.186 * [backup-simplify]: Simplify y into y
4.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.186 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.186 * [taylor]: Taking taylor expansion of x in x
4.186 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.187 * [taylor]: Taking taylor expansion of y in x
4.187 * [backup-simplify]: Simplify y into y
4.187 * [backup-simplify]: Simplify (+ 0 y) into y
4.187 * [backup-simplify]: Simplify (- y) into (- y)
4.187 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.187 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.187 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.187 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.187 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.187 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
4.187 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
4.187 * [taylor]: Taking taylor expansion of (+ x y) in x
4.187 * [taylor]: Taking taylor expansion of x in x
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of y in x
4.187 * [backup-simplify]: Simplify y into y
4.187 * [taylor]: Taking taylor expansion of (- x y) in x
4.187 * [taylor]: Taking taylor expansion of x in x
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of y in x
4.187 * [backup-simplify]: Simplify y into y
4.187 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.187 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.187 * [taylor]: Taking taylor expansion of x in x
4.187 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify 1 into 1
4.187 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.187 * [taylor]: Taking taylor expansion of y in x
4.187 * [backup-simplify]: Simplify y into y
4.187 * [backup-simplify]: Simplify (+ 0 y) into y
4.187 * [backup-simplify]: Simplify (- y) into (- y)
4.187 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
4.187 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
4.187 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.188 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.188 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
4.188 * [taylor]: Taking taylor expansion of -1 in y
4.188 * [backup-simplify]: Simplify -1 into -1
4.188 * [backup-simplify]: Simplify -1 into -1
4.188 * [backup-simplify]: Simplify (- 0) into 0
4.188 * [backup-simplify]: Simplify (+ 1 0) into 1
4.189 * [backup-simplify]: Simplify (+ 1 0) into 1
4.189 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
4.189 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.189 * [backup-simplify]: Simplify (+ 0 0) into 0
4.189 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
4.189 * [taylor]: Taking taylor expansion of 0 in y
4.189 * [backup-simplify]: Simplify 0 into 0
4.189 * [backup-simplify]: Simplify 0 into 0
4.189 * [backup-simplify]: Simplify 0 into 0
4.190 * [backup-simplify]: Simplify (- 0) into 0
4.190 * [backup-simplify]: Simplify (+ 0 0) into 0
4.190 * [backup-simplify]: Simplify (+ 0 0) into 0
4.190 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
4.191 * [backup-simplify]: Simplify (* 1 1) into 1
4.191 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.191 * [backup-simplify]: Simplify (+ 1 0) into 1
4.191 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
4.191 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.191 * [taylor]: Taking taylor expansion of 2 in y
4.191 * [backup-simplify]: Simplify 2 into 2
4.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.191 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.192 * [taylor]: Taking taylor expansion of y in y
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 1 into 1
4.192 * [backup-simplify]: Simplify (* 1 1) into 1
4.192 * [backup-simplify]: Simplify (/ 1 1) into 1
4.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.194 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.194 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify 0 into 0
4.194 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify (- 0) into 0
4.195 * [backup-simplify]: Simplify (+ 0 0) into 0
4.195 * [backup-simplify]: Simplify (+ 0 0) into 0
4.196 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
4.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.196 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.197 * [backup-simplify]: Simplify (+ 0 0) into 0
4.197 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
4.197 * [taylor]: Taking taylor expansion of 0 in y
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify -1 into -1
4.197 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.197 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
4.197 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.198 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
4.198 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
4.198 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.198 * [taylor]: Taking taylor expansion of x in y
4.198 * [backup-simplify]: Simplify x into x
4.198 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.198 * [taylor]: Taking taylor expansion of y in y
4.198 * [backup-simplify]: Simplify 0 into 0
4.198 * [backup-simplify]: Simplify 1 into 1
4.198 * [backup-simplify]: Simplify (/ 1 1) into 1
4.198 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
4.198 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.198 * [taylor]: Taking taylor expansion of y in y
4.198 * [backup-simplify]: Simplify 0 into 0
4.198 * [backup-simplify]: Simplify 1 into 1
4.198 * [backup-simplify]: Simplify (/ 1 1) into 1
4.198 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.198 * [taylor]: Taking taylor expansion of x in y
4.198 * [backup-simplify]: Simplify x into x
4.198 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.198 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.198 * [taylor]: Taking taylor expansion of x in y
4.198 * [backup-simplify]: Simplify x into x
4.198 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.199 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.199 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.199 * [taylor]: Taking taylor expansion of y in y
4.199 * [backup-simplify]: Simplify 0 into 0
4.199 * [backup-simplify]: Simplify 1 into 1
4.199 * [backup-simplify]: Simplify (* 1 1) into 1
4.199 * [backup-simplify]: Simplify (/ 1 1) into 1
4.199 * [backup-simplify]: Simplify (- 1) into -1
4.200 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.200 * [backup-simplify]: Simplify (+ 1 0) into 1
4.200 * [backup-simplify]: Simplify (* -1 1) into -1
4.201 * [backup-simplify]: Simplify (+ 0 1) into 1
4.201 * [backup-simplify]: Simplify (/ -1 1) into -1
4.201 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.201 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
4.201 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.201 * [taylor]: Taking taylor expansion of x in x
4.201 * [backup-simplify]: Simplify 0 into 0
4.201 * [backup-simplify]: Simplify 1 into 1
4.202 * [backup-simplify]: Simplify (/ 1 1) into 1
4.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.202 * [taylor]: Taking taylor expansion of y in x
4.202 * [backup-simplify]: Simplify y into y
4.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.202 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
4.202 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.202 * [taylor]: Taking taylor expansion of y in x
4.202 * [backup-simplify]: Simplify y into y
4.202 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.202 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.202 * [taylor]: Taking taylor expansion of x in x
4.202 * [backup-simplify]: Simplify 0 into 0
4.202 * [backup-simplify]: Simplify 1 into 1
4.202 * [backup-simplify]: Simplify (/ 1 1) into 1
4.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.202 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.202 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.202 * [taylor]: Taking taylor expansion of x in x
4.203 * [backup-simplify]: Simplify 0 into 0
4.203 * [backup-simplify]: Simplify 1 into 1
4.203 * [backup-simplify]: Simplify (* 1 1) into 1
4.203 * [backup-simplify]: Simplify (/ 1 1) into 1
4.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.203 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.203 * [taylor]: Taking taylor expansion of y in x
4.203 * [backup-simplify]: Simplify y into y
4.203 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.203 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.204 * [backup-simplify]: Simplify (+ 1 0) into 1
4.204 * [backup-simplify]: Simplify (+ 0 1) into 1
4.205 * [backup-simplify]: Simplify (* 1 1) into 1
4.205 * [backup-simplify]: Simplify (+ 1 0) into 1
4.205 * [backup-simplify]: Simplify (/ 1 1) into 1
4.205 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.205 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
4.205 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
4.205 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.205 * [taylor]: Taking taylor expansion of x in x
4.205 * [backup-simplify]: Simplify 0 into 0
4.205 * [backup-simplify]: Simplify 1 into 1
4.206 * [backup-simplify]: Simplify (/ 1 1) into 1
4.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.206 * [taylor]: Taking taylor expansion of y in x
4.206 * [backup-simplify]: Simplify y into y
4.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.206 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
4.206 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.206 * [taylor]: Taking taylor expansion of y in x
4.206 * [backup-simplify]: Simplify y into y
4.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.206 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.206 * [taylor]: Taking taylor expansion of x in x
4.206 * [backup-simplify]: Simplify 0 into 0
4.206 * [backup-simplify]: Simplify 1 into 1
4.206 * [backup-simplify]: Simplify (/ 1 1) into 1
4.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.207 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.207 * [taylor]: Taking taylor expansion of x in x
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 1 into 1
4.207 * [backup-simplify]: Simplify (* 1 1) into 1
4.207 * [backup-simplify]: Simplify (/ 1 1) into 1
4.207 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.207 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.207 * [taylor]: Taking taylor expansion of y in x
4.207 * [backup-simplify]: Simplify y into y
4.207 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.208 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.208 * [backup-simplify]: Simplify (+ 1 0) into 1
4.208 * [backup-simplify]: Simplify (+ 0 1) into 1
4.209 * [backup-simplify]: Simplify (* 1 1) into 1
4.209 * [backup-simplify]: Simplify (+ 1 0) into 1
4.209 * [backup-simplify]: Simplify (/ 1 1) into 1
4.209 * [taylor]: Taking taylor expansion of 1 in y
4.209 * [backup-simplify]: Simplify 1 into 1
4.210 * [backup-simplify]: Simplify 1 into 1
4.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.210 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.211 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
4.211 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
4.211 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
4.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.213 * [backup-simplify]: Simplify (+ 0 0) into 0
4.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
4.214 * [taylor]: Taking taylor expansion of 0 in y
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.215 * [backup-simplify]: Simplify (+ 0 0) into 0
4.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.216 * [backup-simplify]: Simplify (- 0) into 0
4.217 * [backup-simplify]: Simplify (+ 0 0) into 0
4.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
4.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.221 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
4.221 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.221 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.221 * [taylor]: Taking taylor expansion of 2 in y
4.221 * [backup-simplify]: Simplify 2 into 2
4.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.221 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.221 * [taylor]: Taking taylor expansion of y in y
4.221 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify 1 into 1
4.221 * [backup-simplify]: Simplify (* 1 1) into 1
4.221 * [backup-simplify]: Simplify (/ 1 1) into 1
4.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.225 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.225 * [backup-simplify]: Simplify (- 0) into 0
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 0 into 0
4.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.227 * [backup-simplify]: Simplify (+ 0 0) into 0
4.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.228 * [backup-simplify]: Simplify (- 0) into 0
4.228 * [backup-simplify]: Simplify (+ 0 0) into 0
4.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
4.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.231 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.232 * [backup-simplify]: Simplify (+ 0 0) into 0
4.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
4.234 * [taylor]: Taking taylor expansion of 0 in y
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 0 into 0
4.234 * [backup-simplify]: Simplify 1 into 1
4.234 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
4.234 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
4.234 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
4.235 * [taylor]: Taking taylor expansion of -1 in y
4.235 * [backup-simplify]: Simplify -1 into -1
4.235 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.235 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
4.235 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
4.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.235 * [taylor]: Taking taylor expansion of y in y
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 1 into 1
4.235 * [backup-simplify]: Simplify (/ 1 1) into 1
4.235 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.235 * [taylor]: Taking taylor expansion of x in y
4.235 * [backup-simplify]: Simplify x into x
4.235 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.235 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
4.235 * [taylor]: Taking taylor expansion of (/ 1 y) in y
4.235 * [taylor]: Taking taylor expansion of y in y
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 1 into 1
4.236 * [backup-simplify]: Simplify (/ 1 1) into 1
4.236 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.236 * [taylor]: Taking taylor expansion of x in y
4.236 * [backup-simplify]: Simplify x into x
4.236 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.236 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.236 * [taylor]: Taking taylor expansion of x in y
4.236 * [backup-simplify]: Simplify x into x
4.236 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.237 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.237 * [taylor]: Taking taylor expansion of y in y
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify 1 into 1
4.237 * [backup-simplify]: Simplify (* 1 1) into 1
4.237 * [backup-simplify]: Simplify (/ 1 1) into 1
4.238 * [backup-simplify]: Simplify (+ 1 0) into 1
4.238 * [backup-simplify]: Simplify (+ 1 0) into 1
4.239 * [backup-simplify]: Simplify (* 1 1) into 1
4.239 * [backup-simplify]: Simplify (+ 0 1) into 1
4.239 * [backup-simplify]: Simplify (/ 1 1) into 1
4.239 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.239 * [taylor]: Taking taylor expansion of -1 in x
4.240 * [backup-simplify]: Simplify -1 into -1
4.240 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.240 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
4.240 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
4.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.240 * [taylor]: Taking taylor expansion of y in x
4.240 * [backup-simplify]: Simplify y into y
4.240 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.240 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.240 * [taylor]: Taking taylor expansion of x in x
4.240 * [backup-simplify]: Simplify 0 into 0
4.240 * [backup-simplify]: Simplify 1 into 1
4.240 * [backup-simplify]: Simplify (/ 1 1) into 1
4.240 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.240 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.240 * [taylor]: Taking taylor expansion of y in x
4.240 * [backup-simplify]: Simplify y into y
4.241 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.241 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.241 * [taylor]: Taking taylor expansion of x in x
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 1 into 1
4.241 * [backup-simplify]: Simplify (/ 1 1) into 1
4.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.241 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.241 * [taylor]: Taking taylor expansion of x in x
4.241 * [backup-simplify]: Simplify 0 into 0
4.241 * [backup-simplify]: Simplify 1 into 1
4.242 * [backup-simplify]: Simplify (* 1 1) into 1
4.242 * [backup-simplify]: Simplify (/ 1 1) into 1
4.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.242 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.242 * [taylor]: Taking taylor expansion of y in x
4.242 * [backup-simplify]: Simplify y into y
4.242 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.242 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.243 * [backup-simplify]: Simplify (+ 0 1) into 1
4.243 * [backup-simplify]: Simplify (- 1) into -1
4.244 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.244 * [backup-simplify]: Simplify (* 1 -1) into -1
4.245 * [backup-simplify]: Simplify (+ 1 0) into 1
4.245 * [backup-simplify]: Simplify (/ -1 1) into -1
4.245 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.245 * [taylor]: Taking taylor expansion of -1 in x
4.245 * [backup-simplify]: Simplify -1 into -1
4.245 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.245 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
4.245 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
4.245 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.245 * [taylor]: Taking taylor expansion of y in x
4.245 * [backup-simplify]: Simplify y into y
4.245 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.245 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.245 * [taylor]: Taking taylor expansion of x in x
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify 1 into 1
4.246 * [backup-simplify]: Simplify (/ 1 1) into 1
4.246 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
4.246 * [taylor]: Taking taylor expansion of (/ 1 y) in x
4.246 * [taylor]: Taking taylor expansion of y in x
4.246 * [backup-simplify]: Simplify y into y
4.246 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.246 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.246 * [taylor]: Taking taylor expansion of x in x
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify 1 into 1
4.247 * [backup-simplify]: Simplify (/ 1 1) into 1
4.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.247 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.247 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.247 * [taylor]: Taking taylor expansion of x in x
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 1 into 1
4.247 * [backup-simplify]: Simplify (* 1 1) into 1
4.248 * [backup-simplify]: Simplify (/ 1 1) into 1
4.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.248 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.248 * [taylor]: Taking taylor expansion of y in x
4.248 * [backup-simplify]: Simplify y into y
4.248 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.248 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.248 * [backup-simplify]: Simplify (+ 0 1) into 1
4.248 * [backup-simplify]: Simplify (- 1) into -1
4.249 * [backup-simplify]: Simplify (+ 0 -1) into -1
4.249 * [backup-simplify]: Simplify (* 1 -1) into -1
4.249 * [backup-simplify]: Simplify (+ 1 0) into 1
4.249 * [backup-simplify]: Simplify (/ -1 1) into -1
4.250 * [backup-simplify]: Simplify (* -1 -1) into 1
4.250 * [taylor]: Taking taylor expansion of 1 in y
4.250 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify 1 into 1
4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.250 * [backup-simplify]: Simplify (- 0) into 0
4.250 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.251 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
4.251 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
4.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.255 * [backup-simplify]: Simplify (+ 0 0) into 0
4.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.256 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.256 * [taylor]: Taking taylor expansion of 0 in y
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.257 * [backup-simplify]: Simplify (- 0) into 0
4.257 * [backup-simplify]: Simplify (+ 0 0) into 0
4.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.258 * [backup-simplify]: Simplify (+ 0 0) into 0
4.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
4.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.260 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
4.261 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
4.261 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
4.261 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
4.261 * [taylor]: Taking taylor expansion of 2 in y
4.261 * [backup-simplify]: Simplify 2 into 2
4.261 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.261 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.261 * [taylor]: Taking taylor expansion of y in y
4.261 * [backup-simplify]: Simplify 0 into 0
4.261 * [backup-simplify]: Simplify 1 into 1
4.261 * [backup-simplify]: Simplify (* 1 1) into 1
4.261 * [backup-simplify]: Simplify (/ 1 1) into 1
4.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.264 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
4.264 * [backup-simplify]: Simplify (- 0) into 0
4.264 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.265 * [backup-simplify]: Simplify (- 0) into 0
4.265 * [backup-simplify]: Simplify (+ 0 0) into 0
4.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.266 * [backup-simplify]: Simplify (+ 0 0) into 0
4.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
4.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.268 * [backup-simplify]: Simplify (+ 0 0) into 0
4.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
4.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
4.270 * [taylor]: Taking taylor expansion of 0 in y
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify 1 into 1
4.270 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
4.270 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
4.270 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
4.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.270 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.270 * [taylor]: Taking taylor expansion of x in y
4.270 * [backup-simplify]: Simplify x into x
4.270 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.270 * [taylor]: Taking taylor expansion of y in y
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify 1 into 1
4.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.270 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.270 * [taylor]: Taking taylor expansion of x in x
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify 1 into 1
4.270 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.270 * [taylor]: Taking taylor expansion of y in x
4.270 * [backup-simplify]: Simplify y into y
4.270 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.270 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.270 * [taylor]: Taking taylor expansion of x in x
4.270 * [backup-simplify]: Simplify 0 into 0
4.270 * [backup-simplify]: Simplify 1 into 1
4.270 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.270 * [taylor]: Taking taylor expansion of y in x
4.270 * [backup-simplify]: Simplify y into y
4.270 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.271 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.271 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.271 * [taylor]: Taking taylor expansion of y in y
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify 1 into 1
4.271 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.271 * [backup-simplify]: Simplify (+ 0 0) into 0
4.271 * [taylor]: Taking taylor expansion of 0 in y
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify 0 into 0
4.271 * [backup-simplify]: Simplify (* 1 1) into 1
4.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.272 * [backup-simplify]: Simplify (+ 1 0) into 1
4.272 * [taylor]: Taking taylor expansion of 1 in y
4.272 * [backup-simplify]: Simplify 1 into 1
4.272 * [backup-simplify]: Simplify 1 into 1
4.272 * [backup-simplify]: Simplify 0 into 0
4.272 * [backup-simplify]: Simplify (* 1 1) into 1
4.272 * [backup-simplify]: Simplify 1 into 1
4.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.273 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.273 * [backup-simplify]: Simplify (+ 0 0) into 0
4.273 * [taylor]: Taking taylor expansion of 0 in y
4.273 * [backup-simplify]: Simplify 0 into 0
4.273 * [backup-simplify]: Simplify 0 into 0
4.273 * [backup-simplify]: Simplify 0 into 0
4.273 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.274 * [backup-simplify]: Simplify 0 into 0
4.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.275 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.275 * [backup-simplify]: Simplify (+ 0 0) into 0
4.275 * [taylor]: Taking taylor expansion of 0 in y
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify 0 into 0
4.275 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
4.276 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.276 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.276 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.276 * [taylor]: Taking taylor expansion of x in y
4.276 * [backup-simplify]: Simplify x into x
4.276 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.276 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.276 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.276 * [taylor]: Taking taylor expansion of y in y
4.276 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify 1 into 1
4.276 * [backup-simplify]: Simplify (* 1 1) into 1
4.276 * [backup-simplify]: Simplify (/ 1 1) into 1
4.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.276 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.276 * [taylor]: Taking taylor expansion of x in x
4.276 * [backup-simplify]: Simplify 0 into 0
4.276 * [backup-simplify]: Simplify 1 into 1
4.277 * [backup-simplify]: Simplify (* 1 1) into 1
4.277 * [backup-simplify]: Simplify (/ 1 1) into 1
4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.277 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.277 * [taylor]: Taking taylor expansion of y in x
4.277 * [backup-simplify]: Simplify y into y
4.277 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.277 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.277 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.277 * [taylor]: Taking taylor expansion of x in x
4.277 * [backup-simplify]: Simplify 0 into 0
4.277 * [backup-simplify]: Simplify 1 into 1
4.277 * [backup-simplify]: Simplify (* 1 1) into 1
4.278 * [backup-simplify]: Simplify (/ 1 1) into 1
4.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.278 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.278 * [taylor]: Taking taylor expansion of y in x
4.278 * [backup-simplify]: Simplify y into y
4.278 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.278 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.278 * [backup-simplify]: Simplify (+ 1 0) into 1
4.278 * [taylor]: Taking taylor expansion of 1 in y
4.278 * [backup-simplify]: Simplify 1 into 1
4.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.280 * [backup-simplify]: Simplify (+ 0 0) into 0
4.280 * [taylor]: Taking taylor expansion of 0 in y
4.280 * [backup-simplify]: Simplify 0 into 0
4.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.281 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.281 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.281 * [taylor]: Taking taylor expansion of y in y
4.281 * [backup-simplify]: Simplify 0 into 0
4.281 * [backup-simplify]: Simplify 1 into 1
4.281 * [backup-simplify]: Simplify (* 1 1) into 1
4.281 * [backup-simplify]: Simplify (/ 1 1) into 1
4.281 * [backup-simplify]: Simplify 1 into 1
4.281 * [backup-simplify]: Simplify 1 into 1
4.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.282 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.283 * [backup-simplify]: Simplify (+ 0 0) into 0
4.283 * [taylor]: Taking taylor expansion of 0 in y
4.283 * [backup-simplify]: Simplify 0 into 0
4.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify 0 into 0
4.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.285 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.286 * [backup-simplify]: Simplify (+ 0 0) into 0
4.286 * [taylor]: Taking taylor expansion of 0 in y
4.286 * [backup-simplify]: Simplify 0 into 0
4.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify 0 into 0
4.287 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
4.287 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.287 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
4.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.287 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.287 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.287 * [taylor]: Taking taylor expansion of x in y
4.287 * [backup-simplify]: Simplify x into x
4.287 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.287 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.288 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.288 * [taylor]: Taking taylor expansion of y in y
4.288 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify 1 into 1
4.288 * [backup-simplify]: Simplify (* 1 1) into 1
4.288 * [backup-simplify]: Simplify (/ 1 1) into 1
4.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.288 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.288 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.288 * [taylor]: Taking taylor expansion of x in x
4.288 * [backup-simplify]: Simplify 0 into 0
4.288 * [backup-simplify]: Simplify 1 into 1
4.289 * [backup-simplify]: Simplify (* 1 1) into 1
4.289 * [backup-simplify]: Simplify (/ 1 1) into 1
4.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.289 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.289 * [taylor]: Taking taylor expansion of y in x
4.289 * [backup-simplify]: Simplify y into y
4.289 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.290 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.290 * [taylor]: Taking taylor expansion of x in x
4.290 * [backup-simplify]: Simplify 0 into 0
4.290 * [backup-simplify]: Simplify 1 into 1
4.290 * [backup-simplify]: Simplify (* 1 1) into 1
4.290 * [backup-simplify]: Simplify (/ 1 1) into 1
4.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.291 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.291 * [taylor]: Taking taylor expansion of y in x
4.291 * [backup-simplify]: Simplify y into y
4.291 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.291 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.291 * [backup-simplify]: Simplify (+ 1 0) into 1
4.291 * [taylor]: Taking taylor expansion of 1 in y
4.291 * [backup-simplify]: Simplify 1 into 1
4.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.293 * [backup-simplify]: Simplify (+ 0 0) into 0
4.293 * [taylor]: Taking taylor expansion of 0 in y
4.293 * [backup-simplify]: Simplify 0 into 0
4.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.295 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.295 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.295 * [taylor]: Taking taylor expansion of y in y
4.295 * [backup-simplify]: Simplify 0 into 0
4.295 * [backup-simplify]: Simplify 1 into 1
4.296 * [backup-simplify]: Simplify (* 1 1) into 1
4.296 * [backup-simplify]: Simplify (/ 1 1) into 1
4.296 * [backup-simplify]: Simplify 1 into 1
4.296 * [backup-simplify]: Simplify 1 into 1
4.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.298 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.299 * [backup-simplify]: Simplify (+ 0 0) into 0
4.299 * [taylor]: Taking taylor expansion of 0 in y
4.299 * [backup-simplify]: Simplify 0 into 0
4.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.300 * [backup-simplify]: Simplify 0 into 0
4.301 * [backup-simplify]: Simplify 0 into 0
4.301 * [backup-simplify]: Simplify 0 into 0
4.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.303 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.304 * [backup-simplify]: Simplify (+ 0 0) into 0
4.304 * [taylor]: Taking taylor expansion of 0 in y
4.304 * [backup-simplify]: Simplify 0 into 0
4.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.306 * [backup-simplify]: Simplify 0 into 0
4.306 * [backup-simplify]: Simplify 0 into 0
4.306 * [backup-simplify]: Simplify 0 into 0
4.307 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
4.307 * * * [progress]: simplifying candidates
4.308 * [simplify]: Simplifying:
  (- (+ (log (- x y)) (log (+ x y))) (log (+ (* x x) (* y y))))
  (- (log (* (- x y) (+ x y))) (log (+ (* x x) (* y y))))
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))))
  (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
  (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (* (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (- (* (- x y) (+ x y)))
  (- (+ (* x x) (* y y)))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) 1)
  (/ (+ x y) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (* (- x y) (+ x y)) 1)
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (* (- x y) (+ x y)) (+ (pow (* x x) 3) (pow (* y y) 3)))
  (/ (* (- x y) (+ x y)) (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))
  (* (+ (* x x) (* y y)) (* (+ (* x x) (+ (* y y) (* x y))) (- x y)))
  (* (+ (* x x) (* y y)) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))))
  (* (+ (* x x) (* y y)) (* (+ x y) (- x y)))
  (* (+ (* x x) (* y y)) (+ (* x x) (- (* y y) (* x y))))
  (* (+ (* x x) (* y y)) (- x y))
  (* (+ (* x x) (* y y)) (+ (* x x) (+ (* y y) (* x y))))
  (* (+ (* x x) (* y y)) (+ x y))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  -1
  1
  1
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
4.310 * * [simplify]: Extracting # 0 : cost  0
4.311 * * [simplify]: Extracting # 1 : cost  0
4.311 * * [simplify]: Extracting # 2 : cost  0
4.311 * * [simplify]: Extracting # 3 : cost  0
4.311 * * [simplify]: Extracting # 4 : cost  0
4.311 * * [simplify]: Extracting # 5 : cost  0
4.312 * * [simplify]: Extracting # 6 : cost  0
4.312 * * [simplify]: Extracting # 7 : cost  0
4.312 * * [simplify]: iteration  0 :  91  enodes  (cost  826 )
4.347 * * [simplify]: Extracting # 0 : cost  0
4.347 * * [simplify]: Extracting # 1 : cost  0
4.348 * * [simplify]: Extracting # 2 : cost  0
4.348 * * [simplify]: Extracting # 3 : cost  0
4.349 * * [simplify]: Extracting # 4 : cost  0
4.349 * * [simplify]: iteration  1 :  303  enodes  (cost  802 )
4.521 * * [simplify]: Extracting # 0 : cost  0
4.524 * * [simplify]: Extracting # 1 : cost  0
4.527 * * [simplify]: Extracting # 2 : cost  0
4.530 * * [simplify]: Extracting # 3 : cost  0
4.533 * * [simplify]: Extracting # 4 : cost  0
4.536 * * [simplify]: Extracting # 5 : cost  0
4.537 * * [simplify]: iteration  2 :  1443  enodes  (cost  662 )
5.138 * * [simplify]: Extracting # 0 : cost  0
5.146 * * [simplify]: Extracting # 1 : cost  0
5.158 * * [simplify]: Extracting # 2 : cost  0
5.166 * * [simplify]: Extracting # 3 : cost  0
5.173 * * [simplify]: Extracting # 4 : cost  0
5.184 * * [simplify]: iteration done:  5000  enodes  (cost  655 )
5.184 * [simplify]: Simplified to:
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (log (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (exp (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
  (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
  (* (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))) (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))))
  (cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (* (- y x) (+ x y))
  (- (+ (* x x) (* y y)))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (- x y)
  (/ (+ x y) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (* (+ x y) (- x y))
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (* (+ x y) (- x y)) (+ (pow x 6) (pow y 6)))
  (/ 1 (+ (* x x) (* y y)))
  (* (* (+ (* y (- y x)) (* x x)) (+ (* x x) (* y (+ x y)))) (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (* (- x y) (+ (* x x) (* y (+ x y)))))
  (* (* (+ (* x x) (* y y)) (+ x y)) (+ (* y (- y x)) (* x x)))
  (- (pow x 4) (pow y 4))
  (* (+ (* x x) (* y y)) (+ (* y (- y x)) (* x x)))
  (* (+ (* x x) (* y y)) (- x y))
  (* (+ (* x x) (* y (+ x y))) (+ (* x x) (* y y)))
  (* (+ (* x x) (* y y)) (+ x y))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (- (+ (pow y 4) (pow x 4)) (* (* x x) (* y y)))
  (- (pow x 4) (pow y 4))
  (* (+ x y) (- x y))
  -1
  1
  1
  (+ (* x x) (pow y 2))
  (+ (* x x) (pow y 2))
  (+ (* x x) (pow y 2))
5.185 * * * [progress]: adding candidates to table
5.322 * * [progress]: iteration 2 / 4
5.322 * * * [progress]: picking best candidate
5.329 * * * * [pick]: Picked  #<alt (λ (x y) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))>
5.329 * * * [progress]: localizing error
5.341 * * * [progress]: generating rewritten candidates
5.341 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
5.383 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
5.435 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1)
5.458 * * * [progress]: generating series expansions
5.458 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
5.459 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) into (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y)))
5.459 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0
5.459 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y
5.459 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.459 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.459 * [taylor]: Taking taylor expansion of x in y
5.459 * [backup-simplify]: Simplify x into x
5.459 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.459 * [taylor]: Taking taylor expansion of y in y
5.459 * [backup-simplify]: Simplify 0 into 0
5.459 * [backup-simplify]: Simplify 1 into 1
5.459 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
5.459 * [taylor]: Taking taylor expansion of (+ x y) in y
5.459 * [taylor]: Taking taylor expansion of x in y
5.459 * [backup-simplify]: Simplify x into x
5.459 * [taylor]: Taking taylor expansion of y in y
5.459 * [backup-simplify]: Simplify 0 into 0
5.459 * [backup-simplify]: Simplify 1 into 1
5.459 * [taylor]: Taking taylor expansion of (- x y) in y
5.459 * [taylor]: Taking taylor expansion of x in y
5.459 * [backup-simplify]: Simplify x into x
5.459 * [taylor]: Taking taylor expansion of y in y
5.459 * [backup-simplify]: Simplify 0 into 0
5.460 * [backup-simplify]: Simplify 1 into 1
5.460 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.460 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.460 * [backup-simplify]: Simplify (+ x 0) into x
5.460 * [backup-simplify]: Simplify (- 0) into 0
5.460 * [backup-simplify]: Simplify (+ x 0) into x
5.460 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.461 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
5.461 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x
5.461 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.461 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.461 * [taylor]: Taking taylor expansion of x in x
5.461 * [backup-simplify]: Simplify 0 into 0
5.461 * [backup-simplify]: Simplify 1 into 1
5.461 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.461 * [taylor]: Taking taylor expansion of y in x
5.461 * [backup-simplify]: Simplify y into y
5.461 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
5.461 * [taylor]: Taking taylor expansion of (+ x y) in x
5.461 * [taylor]: Taking taylor expansion of x in x
5.461 * [backup-simplify]: Simplify 0 into 0
5.461 * [backup-simplify]: Simplify 1 into 1
5.461 * [taylor]: Taking taylor expansion of y in x
5.461 * [backup-simplify]: Simplify y into y
5.461 * [taylor]: Taking taylor expansion of (- x y) in x
5.461 * [taylor]: Taking taylor expansion of x in x
5.461 * [backup-simplify]: Simplify 0 into 0
5.461 * [backup-simplify]: Simplify 1 into 1
5.461 * [taylor]: Taking taylor expansion of y in x
5.461 * [backup-simplify]: Simplify y into y
5.461 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.461 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.461 * [backup-simplify]: Simplify (+ 0 y) into y
5.462 * [backup-simplify]: Simplify (- y) into (- y)
5.462 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
5.462 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
5.462 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1
5.462 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x
5.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.462 * [taylor]: Taking taylor expansion of x in x
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 1 into 1
5.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.462 * [taylor]: Taking taylor expansion of y in x
5.462 * [backup-simplify]: Simplify y into y
5.462 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
5.462 * [taylor]: Taking taylor expansion of (+ x y) in x
5.462 * [taylor]: Taking taylor expansion of x in x
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 1 into 1
5.462 * [taylor]: Taking taylor expansion of y in x
5.462 * [backup-simplify]: Simplify y into y
5.462 * [taylor]: Taking taylor expansion of (- x y) in x
5.462 * [taylor]: Taking taylor expansion of x in x
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 1 into 1
5.462 * [taylor]: Taking taylor expansion of y in x
5.462 * [backup-simplify]: Simplify y into y
5.463 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.463 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.463 * [backup-simplify]: Simplify (+ 0 y) into y
5.463 * [backup-simplify]: Simplify (- y) into (- y)
5.463 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
5.463 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
5.463 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1
5.463 * [taylor]: Taking taylor expansion of -1 in y
5.463 * [backup-simplify]: Simplify -1 into -1
5.463 * [backup-simplify]: Simplify -1 into -1
5.463 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.464 * [backup-simplify]: Simplify (+ 0 0) into 0
5.464 * [backup-simplify]: Simplify (- 0) into 0
5.464 * [backup-simplify]: Simplify (+ 1 0) into 1
5.465 * [backup-simplify]: Simplify (+ 1 0) into 1
5.465 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
5.465 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))))) into 0
5.465 * [taylor]: Taking taylor expansion of 0 in y
5.465 * [backup-simplify]: Simplify 0 into 0
5.465 * [backup-simplify]: Simplify 0 into 0
5.465 * [backup-simplify]: Simplify 0 into 0
5.465 * [backup-simplify]: Simplify (* 1 1) into 1
5.466 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.466 * [backup-simplify]: Simplify (+ 1 0) into 1
5.466 * [backup-simplify]: Simplify (- 0) into 0
5.466 * [backup-simplify]: Simplify (+ 0 0) into 0
5.467 * [backup-simplify]: Simplify (+ 0 0) into 0
5.467 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
5.467 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* -1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into (- (* 2 (/ 1 (pow y 2))))
5.467 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
5.467 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.467 * [taylor]: Taking taylor expansion of 2 in y
5.467 * [backup-simplify]: Simplify 2 into 2
5.467 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.467 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.467 * [taylor]: Taking taylor expansion of y in y
5.467 * [backup-simplify]: Simplify 0 into 0
5.467 * [backup-simplify]: Simplify 1 into 1
5.468 * [backup-simplify]: Simplify (* 1 1) into 1
5.468 * [backup-simplify]: Simplify (/ 1 1) into 1
5.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.474 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.475 * [backup-simplify]: Simplify (- 0) into 0
5.475 * [backup-simplify]: Simplify 0 into 0
5.475 * [backup-simplify]: Simplify 0 into 0
5.475 * [backup-simplify]: Simplify 0 into 0
5.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.476 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.476 * [backup-simplify]: Simplify (+ 0 0) into 0
5.477 * [backup-simplify]: Simplify (- 0) into 0
5.477 * [backup-simplify]: Simplify (+ 0 0) into 0
5.477 * [backup-simplify]: Simplify (+ 0 0) into 0
5.478 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
5.479 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 (* -1 (pow y 2)))))) into 0
5.479 * [taylor]: Taking taylor expansion of 0 in y
5.479 * [backup-simplify]: Simplify 0 into 0
5.479 * [backup-simplify]: Simplify 0 into 0
5.479 * [backup-simplify]: Simplify -1 into -1
5.480 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))))
5.480 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0
5.480 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y
5.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.480 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.480 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.480 * [taylor]: Taking taylor expansion of x in y
5.480 * [backup-simplify]: Simplify x into x
5.480 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.480 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.480 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.480 * [taylor]: Taking taylor expansion of y in y
5.480 * [backup-simplify]: Simplify 0 into 0
5.481 * [backup-simplify]: Simplify 1 into 1
5.481 * [backup-simplify]: Simplify (* 1 1) into 1
5.481 * [backup-simplify]: Simplify (/ 1 1) into 1
5.481 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
5.481 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
5.481 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.481 * [taylor]: Taking taylor expansion of x in y
5.481 * [backup-simplify]: Simplify x into x
5.481 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.481 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.482 * [taylor]: Taking taylor expansion of y in y
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 1 into 1
5.482 * [backup-simplify]: Simplify (/ 1 1) into 1
5.482 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
5.482 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.482 * [taylor]: Taking taylor expansion of y in y
5.482 * [backup-simplify]: Simplify 0 into 0
5.482 * [backup-simplify]: Simplify 1 into 1
5.482 * [backup-simplify]: Simplify (/ 1 1) into 1
5.482 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.482 * [taylor]: Taking taylor expansion of x in y
5.482 * [backup-simplify]: Simplify x into x
5.483 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.483 * [backup-simplify]: Simplify (+ 0 1) into 1
5.483 * [backup-simplify]: Simplify (- 1) into -1
5.484 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.484 * [backup-simplify]: Simplify (+ 1 0) into 1
5.484 * [backup-simplify]: Simplify (* -1 1) into -1
5.484 * [backup-simplify]: Simplify (/ 1 -1) into -1
5.484 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x
5.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.484 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.484 * [taylor]: Taking taylor expansion of x in x
5.484 * [backup-simplify]: Simplify 0 into 0
5.484 * [backup-simplify]: Simplify 1 into 1
5.485 * [backup-simplify]: Simplify (* 1 1) into 1
5.485 * [backup-simplify]: Simplify (/ 1 1) into 1
5.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.485 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.485 * [taylor]: Taking taylor expansion of y in x
5.485 * [backup-simplify]: Simplify y into y
5.485 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.485 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
5.485 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
5.485 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.485 * [taylor]: Taking taylor expansion of x in x
5.485 * [backup-simplify]: Simplify 0 into 0
5.485 * [backup-simplify]: Simplify 1 into 1
5.485 * [backup-simplify]: Simplify (/ 1 1) into 1
5.485 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.486 * [taylor]: Taking taylor expansion of y in x
5.486 * [backup-simplify]: Simplify y into y
5.486 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.486 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.486 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.486 * [taylor]: Taking taylor expansion of y in x
5.486 * [backup-simplify]: Simplify y into y
5.486 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.486 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.486 * [taylor]: Taking taylor expansion of x in x
5.486 * [backup-simplify]: Simplify 0 into 0
5.486 * [backup-simplify]: Simplify 1 into 1
5.486 * [backup-simplify]: Simplify (/ 1 1) into 1
5.486 * [backup-simplify]: Simplify (+ 1 0) into 1
5.486 * [backup-simplify]: Simplify (+ 1 0) into 1
5.487 * [backup-simplify]: Simplify (+ 0 1) into 1
5.487 * [backup-simplify]: Simplify (* 1 1) into 1
5.487 * [backup-simplify]: Simplify (/ 1 1) into 1
5.487 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x
5.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.487 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.487 * [taylor]: Taking taylor expansion of x in x
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify 1 into 1
5.488 * [backup-simplify]: Simplify (* 1 1) into 1
5.488 * [backup-simplify]: Simplify (/ 1 1) into 1
5.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.488 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.488 * [taylor]: Taking taylor expansion of y in x
5.488 * [backup-simplify]: Simplify y into y
5.488 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.488 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.488 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
5.488 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
5.488 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.488 * [taylor]: Taking taylor expansion of x in x
5.488 * [backup-simplify]: Simplify 0 into 0
5.488 * [backup-simplify]: Simplify 1 into 1
5.488 * [backup-simplify]: Simplify (/ 1 1) into 1
5.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.488 * [taylor]: Taking taylor expansion of y in x
5.488 * [backup-simplify]: Simplify y into y
5.488 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.488 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.488 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.488 * [taylor]: Taking taylor expansion of y in x
5.489 * [backup-simplify]: Simplify y into y
5.489 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.489 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.489 * [taylor]: Taking taylor expansion of x in x
5.489 * [backup-simplify]: Simplify 0 into 0
5.489 * [backup-simplify]: Simplify 1 into 1
5.489 * [backup-simplify]: Simplify (/ 1 1) into 1
5.489 * [backup-simplify]: Simplify (+ 1 0) into 1
5.489 * [backup-simplify]: Simplify (+ 1 0) into 1
5.490 * [backup-simplify]: Simplify (+ 0 1) into 1
5.490 * [backup-simplify]: Simplify (* 1 1) into 1
5.490 * [backup-simplify]: Simplify (/ 1 1) into 1
5.490 * [taylor]: Taking taylor expansion of 1 in y
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [backup-simplify]: Simplify 1 into 1
5.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.491 * [backup-simplify]: Simplify (+ 0 0) into 0
5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
5.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.492 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
5.492 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
5.492 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
5.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
5.493 * [taylor]: Taking taylor expansion of 0 in y
5.493 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.494 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.495 * [backup-simplify]: Simplify (+ 0 0) into 0
5.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.496 * [backup-simplify]: Simplify (- 0) into 0
5.496 * [backup-simplify]: Simplify (+ 0 0) into 0
5.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
5.497 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
5.497 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.497 * [taylor]: Taking taylor expansion of 2 in y
5.497 * [backup-simplify]: Simplify 2 into 2
5.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.497 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.497 * [taylor]: Taking taylor expansion of y in y
5.497 * [backup-simplify]: Simplify 0 into 0
5.497 * [backup-simplify]: Simplify 1 into 1
5.497 * [backup-simplify]: Simplify (* 1 1) into 1
5.498 * [backup-simplify]: Simplify (/ 1 1) into 1
5.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.500 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.500 * [backup-simplify]: Simplify 0 into 0
5.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.502 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.502 * [backup-simplify]: Simplify (+ 0 0) into 0
5.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.503 * [backup-simplify]: Simplify (+ 0 0) into 0
5.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.504 * [backup-simplify]: Simplify (- 0) into 0
5.504 * [backup-simplify]: Simplify (+ 0 0) into 0
5.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
5.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
5.506 * [taylor]: Taking taylor expansion of 0 in y
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 0 into 0
5.506 * [backup-simplify]: Simplify 1 into 1
5.506 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))
5.506 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0
5.506 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y
5.506 * [taylor]: Taking taylor expansion of -1 in y
5.506 * [backup-simplify]: Simplify -1 into -1
5.506 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y
5.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.506 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.506 * [taylor]: Taking taylor expansion of x in y
5.506 * [backup-simplify]: Simplify x into x
5.506 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.506 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.506 * [taylor]: Taking taylor expansion of y in y
5.506 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [backup-simplify]: Simplify (* 1 1) into 1
5.507 * [backup-simplify]: Simplify (/ 1 1) into 1
5.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
5.507 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
5.507 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.507 * [taylor]: Taking taylor expansion of y in y
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.507 * [backup-simplify]: Simplify (/ 1 1) into 1
5.507 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.507 * [taylor]: Taking taylor expansion of x in y
5.507 * [backup-simplify]: Simplify x into x
5.507 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.507 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
5.507 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.507 * [taylor]: Taking taylor expansion of y in y
5.507 * [backup-simplify]: Simplify 0 into 0
5.507 * [backup-simplify]: Simplify 1 into 1
5.508 * [backup-simplify]: Simplify (/ 1 1) into 1
5.508 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.508 * [taylor]: Taking taylor expansion of x in y
5.508 * [backup-simplify]: Simplify x into x
5.508 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.508 * [backup-simplify]: Simplify (+ 0 1) into 1
5.508 * [backup-simplify]: Simplify (+ 1 0) into 1
5.509 * [backup-simplify]: Simplify (+ 1 0) into 1
5.509 * [backup-simplify]: Simplify (* 1 1) into 1
5.509 * [backup-simplify]: Simplify (/ 1 1) into 1
5.509 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x
5.509 * [taylor]: Taking taylor expansion of -1 in x
5.509 * [backup-simplify]: Simplify -1 into -1
5.509 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x
5.509 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.509 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.509 * [taylor]: Taking taylor expansion of x in x
5.509 * [backup-simplify]: Simplify 0 into 0
5.509 * [backup-simplify]: Simplify 1 into 1
5.509 * [backup-simplify]: Simplify (* 1 1) into 1
5.510 * [backup-simplify]: Simplify (/ 1 1) into 1
5.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.510 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.510 * [taylor]: Taking taylor expansion of y in x
5.510 * [backup-simplify]: Simplify y into y
5.510 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.510 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.510 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
5.510 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.510 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.510 * [taylor]: Taking taylor expansion of y in x
5.510 * [backup-simplify]: Simplify y into y
5.510 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.510 * [taylor]: Taking taylor expansion of x in x
5.510 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify 1 into 1
5.510 * [backup-simplify]: Simplify (/ 1 1) into 1
5.510 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
5.510 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.510 * [taylor]: Taking taylor expansion of y in x
5.510 * [backup-simplify]: Simplify y into y
5.510 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.510 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.510 * [taylor]: Taking taylor expansion of x in x
5.510 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify 1 into 1
5.511 * [backup-simplify]: Simplify (/ 1 1) into 1
5.511 * [backup-simplify]: Simplify (+ 1 0) into 1
5.511 * [backup-simplify]: Simplify (+ 0 1) into 1
5.511 * [backup-simplify]: Simplify (- 1) into -1
5.512 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.512 * [backup-simplify]: Simplify (* 1 -1) into -1
5.512 * [backup-simplify]: Simplify (/ 1 -1) into -1
5.512 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x
5.512 * [taylor]: Taking taylor expansion of -1 in x
5.512 * [backup-simplify]: Simplify -1 into -1
5.512 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x
5.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.512 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.512 * [taylor]: Taking taylor expansion of x in x
5.512 * [backup-simplify]: Simplify 0 into 0
5.512 * [backup-simplify]: Simplify 1 into 1
5.513 * [backup-simplify]: Simplify (* 1 1) into 1
5.513 * [backup-simplify]: Simplify (/ 1 1) into 1
5.513 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.513 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.513 * [taylor]: Taking taylor expansion of y in x
5.513 * [backup-simplify]: Simplify y into y
5.513 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.513 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.513 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
5.513 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.513 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.513 * [taylor]: Taking taylor expansion of y in x
5.513 * [backup-simplify]: Simplify y into y
5.513 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.513 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.513 * [taylor]: Taking taylor expansion of x in x
5.513 * [backup-simplify]: Simplify 0 into 0
5.513 * [backup-simplify]: Simplify 1 into 1
5.514 * [backup-simplify]: Simplify (/ 1 1) into 1
5.514 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
5.514 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.514 * [taylor]: Taking taylor expansion of y in x
5.514 * [backup-simplify]: Simplify y into y
5.514 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.514 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.514 * [taylor]: Taking taylor expansion of x in x
5.514 * [backup-simplify]: Simplify 0 into 0
5.514 * [backup-simplify]: Simplify 1 into 1
5.514 * [backup-simplify]: Simplify (/ 1 1) into 1
5.514 * [backup-simplify]: Simplify (+ 1 0) into 1
5.514 * [backup-simplify]: Simplify (+ 0 1) into 1
5.515 * [backup-simplify]: Simplify (- 1) into -1
5.515 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.515 * [backup-simplify]: Simplify (* 1 -1) into -1
5.515 * [backup-simplify]: Simplify (/ 1 -1) into -1
5.516 * [backup-simplify]: Simplify (* -1 -1) into 1
5.516 * [taylor]: Taking taylor expansion of 1 in y
5.516 * [backup-simplify]: Simplify 1 into 1
5.516 * [backup-simplify]: Simplify 1 into 1
5.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.517 * [backup-simplify]: Simplify (+ 0 0) into 0
5.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (- 0) into 0
5.518 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
5.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.518 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
5.518 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
5.519 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0
5.519 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.519 * [taylor]: Taking taylor expansion of 0 in y
5.519 * [backup-simplify]: Simplify 0 into 0
5.519 * [backup-simplify]: Simplify 0 into 0
5.519 * [backup-simplify]: Simplify 0 into 0
5.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.521 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.523 * [backup-simplify]: Simplify (- 0) into 0
5.523 * [backup-simplify]: Simplify (+ 0 0) into 0
5.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.524 * [backup-simplify]: Simplify (+ 0 0) into 0
5.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
5.526 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 2 (/ 1 (pow y 2))))
5.527 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1))) into (* 2 (/ 1 (pow y 2)))
5.527 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.527 * [taylor]: Taking taylor expansion of 2 in y
5.527 * [backup-simplify]: Simplify 2 into 2
5.527 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.527 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.527 * [taylor]: Taking taylor expansion of y in y
5.527 * [backup-simplify]: Simplify 0 into 0
5.528 * [backup-simplify]: Simplify 1 into 1
5.528 * [backup-simplify]: Simplify (* 1 1) into 1
5.528 * [backup-simplify]: Simplify (/ 1 1) into 1
5.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.532 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 0 into 0
5.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.535 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.535 * [backup-simplify]: Simplify (+ 0 0) into 0
5.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.536 * [backup-simplify]: Simplify (- 0) into 0
5.537 * [backup-simplify]: Simplify (+ 0 0) into 0
5.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify (+ 0 0) into 0
5.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
5.539 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 -1)))) into 0
5.540 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1)))) into 0
5.540 * [taylor]: Taking taylor expansion of 0 in y
5.540 * [backup-simplify]: Simplify 0 into 0
5.540 * [backup-simplify]: Simplify 0 into 0
5.540 * [backup-simplify]: Simplify 1 into 1
5.540 * * * * [progress]: [ 2 / 3 ] generating series at (2)
5.540 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))
5.540 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0
5.540 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y
5.540 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
5.540 * [taylor]: Taking taylor expansion of (+ x y) in y
5.540 * [taylor]: Taking taylor expansion of x in y
5.540 * [backup-simplify]: Simplify x into x
5.540 * [taylor]: Taking taylor expansion of y in y
5.540 * [backup-simplify]: Simplify 0 into 0
5.540 * [backup-simplify]: Simplify 1 into 1
5.540 * [taylor]: Taking taylor expansion of (- x y) in y
5.540 * [taylor]: Taking taylor expansion of x in y
5.540 * [backup-simplify]: Simplify x into x
5.540 * [taylor]: Taking taylor expansion of y in y
5.540 * [backup-simplify]: Simplify 0 into 0
5.540 * [backup-simplify]: Simplify 1 into 1
5.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.540 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.540 * [taylor]: Taking taylor expansion of x in y
5.540 * [backup-simplify]: Simplify x into x
5.541 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.541 * [taylor]: Taking taylor expansion of y in y
5.541 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify 1 into 1
5.541 * [backup-simplify]: Simplify (+ x 0) into x
5.541 * [backup-simplify]: Simplify (- 0) into 0
5.541 * [backup-simplify]: Simplify (+ x 0) into x
5.541 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.541 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.541 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.541 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
5.541 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
5.541 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
5.541 * [taylor]: Taking taylor expansion of (+ x y) in x
5.541 * [taylor]: Taking taylor expansion of x in x
5.541 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify 1 into 1
5.541 * [taylor]: Taking taylor expansion of y in x
5.541 * [backup-simplify]: Simplify y into y
5.541 * [taylor]: Taking taylor expansion of (- x y) in x
5.541 * [taylor]: Taking taylor expansion of x in x
5.541 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify 1 into 1
5.541 * [taylor]: Taking taylor expansion of y in x
5.541 * [backup-simplify]: Simplify y into y
5.541 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.541 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.541 * [taylor]: Taking taylor expansion of x in x
5.541 * [backup-simplify]: Simplify 0 into 0
5.541 * [backup-simplify]: Simplify 1 into 1
5.541 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.541 * [taylor]: Taking taylor expansion of y in x
5.542 * [backup-simplify]: Simplify y into y
5.542 * [backup-simplify]: Simplify (+ 0 y) into y
5.542 * [backup-simplify]: Simplify (- y) into (- y)
5.542 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
5.542 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
5.542 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.542 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.542 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
5.542 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
5.542 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
5.542 * [taylor]: Taking taylor expansion of (+ x y) in x
5.542 * [taylor]: Taking taylor expansion of x in x
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify 1 into 1
5.542 * [taylor]: Taking taylor expansion of y in x
5.542 * [backup-simplify]: Simplify y into y
5.542 * [taylor]: Taking taylor expansion of (- x y) in x
5.542 * [taylor]: Taking taylor expansion of x in x
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify 1 into 1
5.542 * [taylor]: Taking taylor expansion of y in x
5.542 * [backup-simplify]: Simplify y into y
5.542 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.542 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.542 * [taylor]: Taking taylor expansion of x in x
5.542 * [backup-simplify]: Simplify 0 into 0
5.542 * [backup-simplify]: Simplify 1 into 1
5.542 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.542 * [taylor]: Taking taylor expansion of y in x
5.542 * [backup-simplify]: Simplify y into y
5.542 * [backup-simplify]: Simplify (+ 0 y) into y
5.542 * [backup-simplify]: Simplify (- y) into (- y)
5.542 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
5.542 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
5.542 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.543 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.543 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
5.543 * [taylor]: Taking taylor expansion of -1 in y
5.543 * [backup-simplify]: Simplify -1 into -1
5.543 * [backup-simplify]: Simplify -1 into -1
5.543 * [backup-simplify]: Simplify (- 0) into 0
5.543 * [backup-simplify]: Simplify (+ 1 0) into 1
5.544 * [backup-simplify]: Simplify (+ 1 0) into 1
5.544 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
5.544 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.544 * [backup-simplify]: Simplify (+ 0 0) into 0
5.544 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
5.544 * [taylor]: Taking taylor expansion of 0 in y
5.544 * [backup-simplify]: Simplify 0 into 0
5.544 * [backup-simplify]: Simplify 0 into 0
5.544 * [backup-simplify]: Simplify 0 into 0
5.544 * [backup-simplify]: Simplify (- 0) into 0
5.545 * [backup-simplify]: Simplify (+ 0 0) into 0
5.545 * [backup-simplify]: Simplify (+ 0 0) into 0
5.545 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
5.545 * [backup-simplify]: Simplify (* 1 1) into 1
5.546 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.546 * [backup-simplify]: Simplify (+ 1 0) into 1
5.546 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
5.546 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.546 * [taylor]: Taking taylor expansion of 2 in y
5.546 * [backup-simplify]: Simplify 2 into 2
5.546 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.546 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.546 * [taylor]: Taking taylor expansion of y in y
5.546 * [backup-simplify]: Simplify 0 into 0
5.546 * [backup-simplify]: Simplify 1 into 1
5.547 * [backup-simplify]: Simplify (* 1 1) into 1
5.547 * [backup-simplify]: Simplify (/ 1 1) into 1
5.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.549 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.549 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.549 * [backup-simplify]: Simplify 0 into 0
5.549 * [backup-simplify]: Simplify 0 into 0
5.549 * [backup-simplify]: Simplify 0 into 0
5.549 * [backup-simplify]: Simplify (- 0) into 0
5.550 * [backup-simplify]: Simplify (+ 0 0) into 0
5.550 * [backup-simplify]: Simplify (+ 0 0) into 0
5.550 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
5.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.551 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.551 * [backup-simplify]: Simplify (+ 0 0) into 0
5.552 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
5.552 * [taylor]: Taking taylor expansion of 0 in y
5.552 * [backup-simplify]: Simplify 0 into 0
5.552 * [backup-simplify]: Simplify 0 into 0
5.552 * [backup-simplify]: Simplify -1 into -1
5.552 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.552 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
5.552 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.552 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
5.552 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
5.552 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.552 * [taylor]: Taking taylor expansion of x in y
5.552 * [backup-simplify]: Simplify x into x
5.552 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.552 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.552 * [taylor]: Taking taylor expansion of y in y
5.553 * [backup-simplify]: Simplify 0 into 0
5.553 * [backup-simplify]: Simplify 1 into 1
5.553 * [backup-simplify]: Simplify (/ 1 1) into 1
5.553 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
5.553 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.553 * [taylor]: Taking taylor expansion of y in y
5.553 * [backup-simplify]: Simplify 0 into 0
5.553 * [backup-simplify]: Simplify 1 into 1
5.553 * [backup-simplify]: Simplify (/ 1 1) into 1
5.553 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.553 * [taylor]: Taking taylor expansion of x in y
5.553 * [backup-simplify]: Simplify x into x
5.553 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.553 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.553 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.553 * [taylor]: Taking taylor expansion of x in y
5.553 * [backup-simplify]: Simplify x into x
5.553 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.553 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.553 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.553 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.553 * [taylor]: Taking taylor expansion of y in y
5.553 * [backup-simplify]: Simplify 0 into 0
5.553 * [backup-simplify]: Simplify 1 into 1
5.554 * [backup-simplify]: Simplify (* 1 1) into 1
5.554 * [backup-simplify]: Simplify (/ 1 1) into 1
5.554 * [backup-simplify]: Simplify (- 1) into -1
5.554 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.555 * [backup-simplify]: Simplify (+ 1 0) into 1
5.555 * [backup-simplify]: Simplify (* -1 1) into -1
5.555 * [backup-simplify]: Simplify (+ 0 1) into 1
5.555 * [backup-simplify]: Simplify (/ -1 1) into -1
5.555 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.555 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
5.555 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
5.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.556 * [taylor]: Taking taylor expansion of x in x
5.556 * [backup-simplify]: Simplify 0 into 0
5.556 * [backup-simplify]: Simplify 1 into 1
5.556 * [backup-simplify]: Simplify (/ 1 1) into 1
5.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.556 * [taylor]: Taking taylor expansion of y in x
5.556 * [backup-simplify]: Simplify y into y
5.556 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.556 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.556 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.556 * [taylor]: Taking taylor expansion of y in x
5.556 * [backup-simplify]: Simplify y into y
5.556 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.556 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.556 * [taylor]: Taking taylor expansion of x in x
5.556 * [backup-simplify]: Simplify 0 into 0
5.556 * [backup-simplify]: Simplify 1 into 1
5.556 * [backup-simplify]: Simplify (/ 1 1) into 1
5.556 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.556 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.556 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.556 * [taylor]: Taking taylor expansion of x in x
5.556 * [backup-simplify]: Simplify 0 into 0
5.556 * [backup-simplify]: Simplify 1 into 1
5.557 * [backup-simplify]: Simplify (* 1 1) into 1
5.557 * [backup-simplify]: Simplify (/ 1 1) into 1
5.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.557 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.557 * [taylor]: Taking taylor expansion of y in x
5.557 * [backup-simplify]: Simplify y into y
5.557 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.557 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.557 * [backup-simplify]: Simplify (+ 1 0) into 1
5.558 * [backup-simplify]: Simplify (+ 0 1) into 1
5.558 * [backup-simplify]: Simplify (* 1 1) into 1
5.558 * [backup-simplify]: Simplify (+ 1 0) into 1
5.558 * [backup-simplify]: Simplify (/ 1 1) into 1
5.558 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.558 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
5.558 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
5.558 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.558 * [taylor]: Taking taylor expansion of x in x
5.558 * [backup-simplify]: Simplify 0 into 0
5.558 * [backup-simplify]: Simplify 1 into 1
5.559 * [backup-simplify]: Simplify (/ 1 1) into 1
5.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.559 * [taylor]: Taking taylor expansion of y in x
5.559 * [backup-simplify]: Simplify y into y
5.559 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.559 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.559 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.559 * [taylor]: Taking taylor expansion of y in x
5.559 * [backup-simplify]: Simplify y into y
5.559 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.559 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.559 * [taylor]: Taking taylor expansion of x in x
5.559 * [backup-simplify]: Simplify 0 into 0
5.559 * [backup-simplify]: Simplify 1 into 1
5.559 * [backup-simplify]: Simplify (/ 1 1) into 1
5.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.559 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.559 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.559 * [taylor]: Taking taylor expansion of x in x
5.559 * [backup-simplify]: Simplify 0 into 0
5.559 * [backup-simplify]: Simplify 1 into 1
5.559 * [backup-simplify]: Simplify (* 1 1) into 1
5.560 * [backup-simplify]: Simplify (/ 1 1) into 1
5.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.560 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.560 * [taylor]: Taking taylor expansion of y in x
5.560 * [backup-simplify]: Simplify y into y
5.560 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.560 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.560 * [backup-simplify]: Simplify (+ 1 0) into 1
5.560 * [backup-simplify]: Simplify (+ 0 1) into 1
5.561 * [backup-simplify]: Simplify (* 1 1) into 1
5.561 * [backup-simplify]: Simplify (+ 1 0) into 1
5.561 * [backup-simplify]: Simplify (/ 1 1) into 1
5.561 * [taylor]: Taking taylor expansion of 1 in y
5.561 * [backup-simplify]: Simplify 1 into 1
5.561 * [backup-simplify]: Simplify 1 into 1
5.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.562 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
5.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.562 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
5.562 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
5.562 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
5.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.563 * [backup-simplify]: Simplify (+ 0 0) into 0
5.564 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
5.564 * [taylor]: Taking taylor expansion of 0 in y
5.564 * [backup-simplify]: Simplify 0 into 0
5.564 * [backup-simplify]: Simplify 0 into 0
5.564 * [backup-simplify]: Simplify 0 into 0
5.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.566 * [backup-simplify]: Simplify (+ 0 0) into 0
5.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.567 * [backup-simplify]: Simplify (- 0) into 0
5.568 * [backup-simplify]: Simplify (+ 0 0) into 0
5.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
5.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.571 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.572 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
5.572 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
5.572 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.572 * [taylor]: Taking taylor expansion of 2 in y
5.572 * [backup-simplify]: Simplify 2 into 2
5.572 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.572 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.572 * [taylor]: Taking taylor expansion of y in y
5.572 * [backup-simplify]: Simplify 0 into 0
5.572 * [backup-simplify]: Simplify 1 into 1
5.573 * [backup-simplify]: Simplify (* 1 1) into 1
5.573 * [backup-simplify]: Simplify (/ 1 1) into 1
5.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.580 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.581 * [backup-simplify]: Simplify (- 0) into 0
5.581 * [backup-simplify]: Simplify 0 into 0
5.581 * [backup-simplify]: Simplify 0 into 0
5.581 * [backup-simplify]: Simplify 0 into 0
5.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.582 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.583 * [backup-simplify]: Simplify (+ 0 0) into 0
5.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.584 * [backup-simplify]: Simplify (- 0) into 0
5.585 * [backup-simplify]: Simplify (+ 0 0) into 0
5.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
5.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.588 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.589 * [backup-simplify]: Simplify (+ 0 0) into 0
5.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
5.590 * [taylor]: Taking taylor expansion of 0 in y
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 0 into 0
5.591 * [backup-simplify]: Simplify 1 into 1
5.591 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
5.591 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
5.591 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
5.591 * [taylor]: Taking taylor expansion of -1 in y
5.592 * [backup-simplify]: Simplify -1 into -1
5.592 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
5.592 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
5.592 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
5.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.592 * [taylor]: Taking taylor expansion of y in y
5.592 * [backup-simplify]: Simplify 0 into 0
5.592 * [backup-simplify]: Simplify 1 into 1
5.592 * [backup-simplify]: Simplify (/ 1 1) into 1
5.592 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.592 * [taylor]: Taking taylor expansion of x in y
5.592 * [backup-simplify]: Simplify x into x
5.592 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.592 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
5.592 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.592 * [taylor]: Taking taylor expansion of y in y
5.592 * [backup-simplify]: Simplify 0 into 0
5.592 * [backup-simplify]: Simplify 1 into 1
5.593 * [backup-simplify]: Simplify (/ 1 1) into 1
5.593 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.593 * [taylor]: Taking taylor expansion of x in y
5.593 * [backup-simplify]: Simplify x into x
5.593 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.593 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.593 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.593 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.593 * [taylor]: Taking taylor expansion of x in y
5.593 * [backup-simplify]: Simplify x into x
5.593 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.593 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.593 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.594 * [taylor]: Taking taylor expansion of y in y
5.594 * [backup-simplify]: Simplify 0 into 0
5.594 * [backup-simplify]: Simplify 1 into 1
5.594 * [backup-simplify]: Simplify (* 1 1) into 1
5.594 * [backup-simplify]: Simplify (/ 1 1) into 1
5.595 * [backup-simplify]: Simplify (+ 1 0) into 1
5.595 * [backup-simplify]: Simplify (+ 1 0) into 1
5.596 * [backup-simplify]: Simplify (* 1 1) into 1
5.596 * [backup-simplify]: Simplify (+ 0 1) into 1
5.596 * [backup-simplify]: Simplify (/ 1 1) into 1
5.596 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.596 * [taylor]: Taking taylor expansion of -1 in x
5.597 * [backup-simplify]: Simplify -1 into -1
5.597 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.597 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
5.597 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.597 * [taylor]: Taking taylor expansion of y in x
5.597 * [backup-simplify]: Simplify y into y
5.597 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.597 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.597 * [taylor]: Taking taylor expansion of x in x
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 1 into 1
5.597 * [backup-simplify]: Simplify (/ 1 1) into 1
5.597 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
5.597 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.597 * [taylor]: Taking taylor expansion of y in x
5.597 * [backup-simplify]: Simplify y into y
5.598 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.598 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.598 * [taylor]: Taking taylor expansion of x in x
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify 1 into 1
5.598 * [backup-simplify]: Simplify (/ 1 1) into 1
5.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.598 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.598 * [taylor]: Taking taylor expansion of x in x
5.598 * [backup-simplify]: Simplify 0 into 0
5.598 * [backup-simplify]: Simplify 1 into 1
5.599 * [backup-simplify]: Simplify (* 1 1) into 1
5.599 * [backup-simplify]: Simplify (/ 1 1) into 1
5.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.599 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.599 * [taylor]: Taking taylor expansion of y in x
5.599 * [backup-simplify]: Simplify y into y
5.599 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.600 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.600 * [backup-simplify]: Simplify (+ 0 1) into 1
5.600 * [backup-simplify]: Simplify (- 1) into -1
5.601 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.601 * [backup-simplify]: Simplify (* 1 -1) into -1
5.602 * [backup-simplify]: Simplify (+ 1 0) into 1
5.602 * [backup-simplify]: Simplify (/ -1 1) into -1
5.602 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
5.602 * [taylor]: Taking taylor expansion of -1 in x
5.602 * [backup-simplify]: Simplify -1 into -1
5.602 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
5.602 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
5.602 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
5.602 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.602 * [taylor]: Taking taylor expansion of y in x
5.602 * [backup-simplify]: Simplify y into y
5.603 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.603 * [taylor]: Taking taylor expansion of x in x
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 1 into 1
5.603 * [backup-simplify]: Simplify (/ 1 1) into 1
5.603 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
5.603 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.603 * [taylor]: Taking taylor expansion of y in x
5.603 * [backup-simplify]: Simplify y into y
5.603 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.603 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.603 * [taylor]: Taking taylor expansion of x in x
5.603 * [backup-simplify]: Simplify 0 into 0
5.603 * [backup-simplify]: Simplify 1 into 1
5.604 * [backup-simplify]: Simplify (/ 1 1) into 1
5.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.604 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.604 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.604 * [taylor]: Taking taylor expansion of x in x
5.604 * [backup-simplify]: Simplify 0 into 0
5.604 * [backup-simplify]: Simplify 1 into 1
5.604 * [backup-simplify]: Simplify (* 1 1) into 1
5.604 * [backup-simplify]: Simplify (/ 1 1) into 1
5.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.604 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.604 * [taylor]: Taking taylor expansion of y in x
5.604 * [backup-simplify]: Simplify y into y
5.604 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.605 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.605 * [backup-simplify]: Simplify (+ 0 1) into 1
5.605 * [backup-simplify]: Simplify (- 1) into -1
5.605 * [backup-simplify]: Simplify (+ 0 -1) into -1
5.606 * [backup-simplify]: Simplify (* 1 -1) into -1
5.606 * [backup-simplify]: Simplify (+ 1 0) into 1
5.606 * [backup-simplify]: Simplify (/ -1 1) into -1
5.606 * [backup-simplify]: Simplify (* -1 -1) into 1
5.606 * [taylor]: Taking taylor expansion of 1 in y
5.606 * [backup-simplify]: Simplify 1 into 1
5.606 * [backup-simplify]: Simplify 1 into 1
5.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.607 * [backup-simplify]: Simplify (- 0) into 0
5.607 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
5.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.608 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
5.608 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
5.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.609 * [backup-simplify]: Simplify (+ 0 0) into 0
5.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.610 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.610 * [taylor]: Taking taylor expansion of 0 in y
5.610 * [backup-simplify]: Simplify 0 into 0
5.610 * [backup-simplify]: Simplify 0 into 0
5.610 * [backup-simplify]: Simplify 0 into 0
5.610 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.610 * [backup-simplify]: Simplify (- 0) into 0
5.611 * [backup-simplify]: Simplify (+ 0 0) into 0
5.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.612 * [backup-simplify]: Simplify (+ 0 0) into 0
5.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
5.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.613 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.614 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
5.614 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
5.614 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
5.614 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
5.614 * [taylor]: Taking taylor expansion of 2 in y
5.614 * [backup-simplify]: Simplify 2 into 2
5.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.614 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.614 * [taylor]: Taking taylor expansion of y in y
5.614 * [backup-simplify]: Simplify 0 into 0
5.614 * [backup-simplify]: Simplify 1 into 1
5.615 * [backup-simplify]: Simplify (* 1 1) into 1
5.615 * [backup-simplify]: Simplify (/ 1 1) into 1
5.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.617 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
5.618 * [backup-simplify]: Simplify (- 0) into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.619 * [backup-simplify]: Simplify (- 0) into 0
5.619 * [backup-simplify]: Simplify (+ 0 0) into 0
5.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.620 * [backup-simplify]: Simplify (+ 0 0) into 0
5.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
5.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.621 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.622 * [backup-simplify]: Simplify (+ 0 0) into 0
5.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
5.624 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
5.624 * [taylor]: Taking taylor expansion of 0 in y
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 1 into 1
5.624 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1)
5.624 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
5.624 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
5.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
5.624 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.624 * [taylor]: Taking taylor expansion of x in y
5.624 * [backup-simplify]: Simplify x into x
5.624 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.624 * [taylor]: Taking taylor expansion of y in y
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 1 into 1
5.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.624 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.624 * [taylor]: Taking taylor expansion of x in x
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 1 into 1
5.624 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.624 * [taylor]: Taking taylor expansion of y in x
5.624 * [backup-simplify]: Simplify y into y
5.624 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
5.624 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.624 * [taylor]: Taking taylor expansion of x in x
5.624 * [backup-simplify]: Simplify 0 into 0
5.624 * [backup-simplify]: Simplify 1 into 1
5.624 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.624 * [taylor]: Taking taylor expansion of y in x
5.624 * [backup-simplify]: Simplify y into y
5.624 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.625 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.625 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.625 * [taylor]: Taking taylor expansion of y in y
5.625 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify 1 into 1
5.625 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.625 * [backup-simplify]: Simplify (+ 0 0) into 0
5.625 * [taylor]: Taking taylor expansion of 0 in y
5.625 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify 0 into 0
5.625 * [backup-simplify]: Simplify (* 1 1) into 1
5.625 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.626 * [backup-simplify]: Simplify (+ 1 0) into 1
5.626 * [taylor]: Taking taylor expansion of 1 in y
5.626 * [backup-simplify]: Simplify 1 into 1
5.626 * [backup-simplify]: Simplify 1 into 1
5.626 * [backup-simplify]: Simplify 0 into 0
5.626 * [backup-simplify]: Simplify (* 1 1) into 1
5.626 * [backup-simplify]: Simplify 1 into 1
5.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.627 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.627 * [backup-simplify]: Simplify (+ 0 0) into 0
5.627 * [taylor]: Taking taylor expansion of 0 in y
5.627 * [backup-simplify]: Simplify 0 into 0
5.627 * [backup-simplify]: Simplify 0 into 0
5.627 * [backup-simplify]: Simplify 0 into 0
5.627 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.628 * [backup-simplify]: Simplify 0 into 0
5.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.629 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
5.629 * [backup-simplify]: Simplify (+ 0 0) into 0
5.629 * [taylor]: Taking taylor expansion of 0 in y
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify 0 into 0
5.629 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
5.630 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.630 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
5.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.630 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.630 * [taylor]: Taking taylor expansion of x in y
5.630 * [backup-simplify]: Simplify x into x
5.630 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.630 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.630 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.630 * [taylor]: Taking taylor expansion of y in y
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 1 into 1
5.630 * [backup-simplify]: Simplify (* 1 1) into 1
5.630 * [backup-simplify]: Simplify (/ 1 1) into 1
5.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.630 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.630 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.630 * [taylor]: Taking taylor expansion of x in x
5.630 * [backup-simplify]: Simplify 0 into 0
5.630 * [backup-simplify]: Simplify 1 into 1
5.631 * [backup-simplify]: Simplify (* 1 1) into 1
5.631 * [backup-simplify]: Simplify (/ 1 1) into 1
5.631 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.631 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.631 * [taylor]: Taking taylor expansion of y in x
5.631 * [backup-simplify]: Simplify y into y
5.631 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.631 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.631 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.631 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.631 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.631 * [taylor]: Taking taylor expansion of x in x
5.631 * [backup-simplify]: Simplify 0 into 0
5.631 * [backup-simplify]: Simplify 1 into 1
5.631 * [backup-simplify]: Simplify (* 1 1) into 1
5.632 * [backup-simplify]: Simplify (/ 1 1) into 1
5.632 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.632 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.632 * [taylor]: Taking taylor expansion of y in x
5.632 * [backup-simplify]: Simplify y into y
5.632 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.632 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.632 * [backup-simplify]: Simplify (+ 1 0) into 1
5.632 * [taylor]: Taking taylor expansion of 1 in y
5.632 * [backup-simplify]: Simplify 1 into 1
5.633 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.633 * [backup-simplify]: Simplify (+ 0 0) into 0
5.633 * [taylor]: Taking taylor expansion of 0 in y
5.633 * [backup-simplify]: Simplify 0 into 0
5.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.634 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.634 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.634 * [taylor]: Taking taylor expansion of y in y
5.634 * [backup-simplify]: Simplify 0 into 0
5.634 * [backup-simplify]: Simplify 1 into 1
5.635 * [backup-simplify]: Simplify (* 1 1) into 1
5.635 * [backup-simplify]: Simplify (/ 1 1) into 1
5.635 * [backup-simplify]: Simplify 1 into 1
5.635 * [backup-simplify]: Simplify 1 into 1
5.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.636 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.637 * [backup-simplify]: Simplify (+ 0 0) into 0
5.637 * [taylor]: Taking taylor expansion of 0 in y
5.637 * [backup-simplify]: Simplify 0 into 0
5.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.637 * [backup-simplify]: Simplify 0 into 0
5.637 * [backup-simplify]: Simplify 0 into 0
5.637 * [backup-simplify]: Simplify 0 into 0
5.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.639 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
5.639 * [backup-simplify]: Simplify (+ 0 0) into 0
5.639 * [taylor]: Taking taylor expansion of 0 in y
5.639 * [backup-simplify]: Simplify 0 into 0
5.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.641 * [backup-simplify]: Simplify 0 into 0
5.641 * [backup-simplify]: Simplify 0 into 0
5.641 * [backup-simplify]: Simplify 0 into 0
5.641 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
5.642 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.642 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
5.642 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
5.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
5.642 * [taylor]: Taking taylor expansion of (pow x 2) in y
5.642 * [taylor]: Taking taylor expansion of x in y
5.642 * [backup-simplify]: Simplify x into x
5.642 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.642 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
5.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.642 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.642 * [taylor]: Taking taylor expansion of y in y
5.642 * [backup-simplify]: Simplify 0 into 0
5.642 * [backup-simplify]: Simplify 1 into 1
5.643 * [backup-simplify]: Simplify (* 1 1) into 1
5.643 * [backup-simplify]: Simplify (/ 1 1) into 1
5.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.643 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.643 * [taylor]: Taking taylor expansion of x in x
5.643 * [backup-simplify]: Simplify 0 into 0
5.643 * [backup-simplify]: Simplify 1 into 1
5.643 * [backup-simplify]: Simplify (* 1 1) into 1
5.644 * [backup-simplify]: Simplify (/ 1 1) into 1
5.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.644 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.644 * [taylor]: Taking taylor expansion of y in x
5.644 * [backup-simplify]: Simplify y into y
5.644 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
5.644 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
5.644 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.644 * [taylor]: Taking taylor expansion of x in x
5.644 * [backup-simplify]: Simplify 0 into 0
5.644 * [backup-simplify]: Simplify 1 into 1
5.645 * [backup-simplify]: Simplify (* 1 1) into 1
5.645 * [backup-simplify]: Simplify (/ 1 1) into 1
5.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.645 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.645 * [taylor]: Taking taylor expansion of y in x
5.645 * [backup-simplify]: Simplify y into y
5.645 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.645 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.646 * [backup-simplify]: Simplify (+ 1 0) into 1
5.646 * [taylor]: Taking taylor expansion of 1 in y
5.646 * [backup-simplify]: Simplify 1 into 1
5.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.647 * [backup-simplify]: Simplify (+ 0 0) into 0
5.647 * [taylor]: Taking taylor expansion of 0 in y
5.647 * [backup-simplify]: Simplify 0 into 0
5.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.649 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.649 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.649 * [taylor]: Taking taylor expansion of y in y
5.649 * [backup-simplify]: Simplify 0 into 0
5.649 * [backup-simplify]: Simplify 1 into 1
5.650 * [backup-simplify]: Simplify (* 1 1) into 1
5.650 * [backup-simplify]: Simplify (/ 1 1) into 1
5.650 * [backup-simplify]: Simplify 1 into 1
5.650 * [backup-simplify]: Simplify 1 into 1
5.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.652 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.653 * [backup-simplify]: Simplify (+ 0 0) into 0
5.653 * [taylor]: Taking taylor expansion of 0 in y
5.653 * [backup-simplify]: Simplify 0 into 0
5.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.654 * [backup-simplify]: Simplify 0 into 0
5.654 * [backup-simplify]: Simplify 0 into 0
5.654 * [backup-simplify]: Simplify 0 into 0
5.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.656 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
5.657 * [backup-simplify]: Simplify (+ 0 0) into 0
5.657 * [taylor]: Taking taylor expansion of 0 in y
5.657 * [backup-simplify]: Simplify 0 into 0
5.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify 0 into 0
5.658 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
5.658 * * * [progress]: simplifying candidates
5.660 * [simplify]: Simplifying:
  (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y))))
  (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y))))
  (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (exp (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))))
  (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))))
  (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (* (* (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (- (+ (* x x) (* y y)))
  (- (* (- x y) (+ x y)))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))
  (/ (cbrt (+ (* x x) (* y y))) (+ x y))
  (/ (sqrt (+ (* x x) (* y y))) (- x y))
  (/ (sqrt (+ (* x x) (* y y))) (+ x y))
  (/ 1 (- x y))
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ 1 (* (- x y) (+ x y)))
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (- x y))
  (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y))))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))
  (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3))))
  (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y)))
  (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y)))
  (* (* (- x y) (+ x y)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (* (* (- x y) (+ x y)) (- (* x x) (* y y)))
  (- 1)
  (- (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y)))))
  (- (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y)))))
  (- (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (- 0 (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y)))))
  (- 0 (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y)))))
  (- 0 (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (- (log 1) (- (log (+ (* x x) (* y y))) (+ (log (- x y)) (log (+ x y)))))
  (- (log 1) (- (log (+ (* x x) (* y y))) (log (* (- x y) (+ x y)))))
  (- (log 1) (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (log (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (exp (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y)))))
  (/ (* (* 1 1) 1) (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y)))))
  (/ (* (* 1 1) 1) (* (* (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (* (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (cbrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (* (* (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))) (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (sqrt (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (- 1)
  (- (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (/ (cbrt 1) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (cbrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y)))
  (/ (cbrt 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (* (cbrt 1) (cbrt 1)) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ (cbrt 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (* (cbrt 1) (cbrt 1)) (/ 1 (- x y)))
  (/ (cbrt 1) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ (* (cbrt 1) (cbrt 1)) (+ (* x x) (* y y)))
  (/ (cbrt 1) (/ 1 (* (- x y) (+ x y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))))
  (/ (cbrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))))
  (/ (cbrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (- x y)))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))))
  (/ (cbrt 1) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ (cbrt 1) (* (+ x y) (- x y)))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3)))))
  (/ (cbrt 1) (+ (* x x) (- (* y y) (* x y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y)))))
  (/ (cbrt 1) (- x y))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y))))
  (/ (cbrt 1) (+ (* x x) (+ (* y y) (* x y))))
  (/ (* (cbrt 1) (cbrt 1)) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y))))
  (/ (cbrt 1) (+ x y))
  (/ (sqrt 1) (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (/ (sqrt 1) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (sqrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (sqrt 1) (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (sqrt 1) (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y)))
  (/ (sqrt 1) (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ (sqrt 1) (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ (sqrt 1) (/ 1 (- x y)))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (+ x y)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ (sqrt 1) (+ (* x x) (* y y)))
  (/ (sqrt 1) (/ 1 (* (- x y) (+ x y))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))))
  (/ (sqrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))))
  (/ (sqrt 1) (* (+ (* x x) (+ (* y y) (* x y))) (- x y)))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))))
  (/ (sqrt 1) (* (+ x y) (+ (* x x) (- (* y y) (* x y)))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ (sqrt 1) (* (+ x y) (- x y)))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3)))))
  (/ (sqrt 1) (+ (* x x) (- (* y y) (* x y))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y)))))
  (/ (sqrt 1) (- x y))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y))))
  (/ (sqrt 1) (+ (* x x) (+ (* y y) (* x y))))
  (/ (sqrt 1) (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y))))
  (/ (sqrt 1) (+ x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y)))
  (/ 1 (/ (cbrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (+ x y)))
  (/ 1 (/ 1 (- x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (+ x y)))
  (/ 1 1)
  (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ 1 (+ (* x x) (* y y)))
  (/ 1 (/ 1 (* (- x y) (+ x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))))
  (/ 1 (* (+ (* x x) (+ (* y y) (* x y))) (+ (* x x) (- (* y y) (* x y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))))
  (/ 1 (* (+ (* x x) (+ (* y y) (* x y))) (- x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))))
  (/ 1 (* (+ x y) (+ (* x x) (- (* y y) (* x y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ 1 (* (+ x y) (- x y)))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3)))))
  (/ 1 (+ (* x x) (- (* y y) (* x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y)))))
  (/ 1 (- x y))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y))))
  (/ 1 (+ (* x x) (+ (* y y) (* x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y))))
  (/ 1 (+ x y))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 1)
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y)))
  (/ 1 (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ 1 (/ 1 (- x y)))
  (/ 1 1)
  (/ 1 (+ (* x x) (* y y)))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (- (* x x) (* y y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ (pow x 3) (pow y 3)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (- (* x x) (* y y)))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ x y))))
  (/ 1 (/ (+ (* x x) (* y y)) (* (- (* x x) (* y y)) (+ x y))))
  (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (cbrt 1))
  (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (sqrt 1))
  (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 1)
  (/ 1 (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  -1
  1
  1
  -1
  1
  1
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
5.664 * * [simplify]: Extracting # 0 : cost  0
5.664 * * [simplify]: Extracting # 1 : cost  0
5.665 * * [simplify]: Extracting # 2 : cost  0
5.665 * * [simplify]: Extracting # 3 : cost  0
5.665 * * [simplify]: Extracting # 4 : cost  0
5.666 * * [simplify]: Extracting # 5 : cost  0
5.666 * * [simplify]: Extracting # 6 : cost  0
5.666 * * [simplify]: Extracting # 7 : cost  0
5.667 * * [simplify]: iteration  0 :  220  enodes  (cost  3376 )
5.777 * * [simplify]: Extracting # 0 : cost  0
5.778 * * [simplify]: Extracting # 1 : cost  0
5.779 * * [simplify]: Extracting # 2 : cost  0
5.780 * * [simplify]: Extracting # 3 : cost  0
5.780 * * [simplify]: Extracting # 4 : cost  0
5.781 * * [simplify]: iteration  1 :  583  enodes  (cost  3136 )
6.103 * * [simplify]: Extracting # 0 : cost  0
6.113 * * [simplify]: Extracting # 1 : cost  0
6.119 * * [simplify]: Extracting # 2 : cost  0
6.122 * * [simplify]: Extracting # 3 : cost  0
6.125 * * [simplify]: Extracting # 4 : cost  0
6.128 * * [simplify]: Extracting # 5 : cost  0
6.131 * * [simplify]: iteration  2 :  2312  enodes  (cost  2794 )
7.253 * * [simplify]: Extracting # 0 : cost  0
7.259 * * [simplify]: Extracting # 1 : cost  0
7.265 * * [simplify]: Extracting # 2 : cost  0
7.271 * * [simplify]: Extracting # 3 : cost  0
7.277 * * [simplify]: Extracting # 4 : cost  0
7.289 * * [simplify]: iteration done:  5002  enodes  (cost  2759 )
7.290 * [simplify]: Simplified to:
  (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (log (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (exp (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3)
  (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3)
  (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (pow (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) 3)
  (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (- (+ (* x x) (* y y)))
  (* (- y x) (+ x y))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (- x y))
  (/ (cbrt (+ (* x x) (* y y))) (+ x y))
  (/ (sqrt (+ (* x x) (* y y))) (- x y))
  (/ (sqrt (+ (* x x) (* y y))) (+ x y))
  (/ 1 (- x y))
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ 1 (* (- x y) (+ x y)))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (+ (* x x) (* y y)) (- x y))
  (/ (* (- x y) (+ x y)) (cbrt (+ (* x x) (* y y))))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))
  (/ (+ (* x x) (* y y)) (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))))
  (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (+ (pow x 3) (pow y 3)))
  (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (- (* x x) (* y y)))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (+ (pow x 3) (pow y 3)))
  (/ (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))) (- x y))
  (/ (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))
  (* (+ x y) (* (- x y) (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))))
  (* (* (- x y) (- (* x x) (* y y))) (+ x y))
  -1
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (log (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (exp (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (* (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))) (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))))
  (cbrt (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))))
  (pow (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y))) 3)
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  (sqrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
  -1
  (- (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (- x y)
  (/ (+ x y) (+ (* x x) (* y y)))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ (* x x) (* y y)))
  (- (* x x) (* y y))
  (/ (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ (/ 1 (+ (* y (+ x y)) (* x x))) (+ (* x x) (* y (- y x))))
  (/ (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (/ (/ 1 (+ (* y (+ x y)) (* x x))) (- x y))
  (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (pow x 3) (pow y 3)))
  (/ (/ 1 (+ x y)) (+ (* x x) (* y (- y x))))
  (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ 1 (* (- x y) (+ x y)))
  (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y (- y x))))
  (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (/ 1 (- x y))
  (* (/ (+ x y) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3)))
  (/ 1 (+ (* y (+ x y)) (* x x)))
  (/ (* (- (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)))
  (/ 1 (+ x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (- x y)
  (/ (+ x y) (+ (* x x) (* y y)))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ (* x x) (* y y)))
  (- (* x x) (* y y))
  (/ (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ (/ 1 (+ (* y (+ x y)) (* x x))) (+ (* x x) (* y (- y x))))
  (/ (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (/ (/ 1 (+ (* y (+ x y)) (* x x))) (- x y))
  (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (pow x 3) (pow y 3)))
  (/ (/ 1 (+ x y)) (+ (* x x) (* y (- y x))))
  (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ 1 (* (- x y) (+ x y)))
  (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y (- y x))))
  (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (/ 1 (- x y))
  (* (/ (+ x y) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3)))
  (/ 1 (+ (* y (+ x y)) (* x x)))
  (/ (* (- (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)))
  (/ 1 (+ x y))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (/ 1 (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (+ x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (+ x y) (sqrt (+ (* x x) (* y y))))
  (- x y)
  (/ (+ x y) (+ (* x x) (* y y)))
  1
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ (* x x) (* y y)))
  (- (* x x) (* y y))
  (/ (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ (/ 1 (+ (* y (+ x y)) (* x x))) (+ (* x x) (* y (- y x))))
  (/ (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (/ (/ 1 (+ (* y (+ x y)) (* x x))) (- x y))
  (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (pow x 3) (pow y 3)))
  (/ (/ 1 (+ x y)) (+ (* x x) (* y (- y x))))
  (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ 1 (* (- x y) (+ x y)))
  (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ 1 (+ (* x x) (* y (- y x))))
  (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (/ 1 (- x y))
  (* (/ (+ x y) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3)))
  (/ 1 (+ (* y (+ x y)) (* x x)))
  (/ (* (- (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)))
  (/ 1 (+ x y))
  (/ (+ x y) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ 1 (* (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))) (cbrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))))
  (/ 1 (sqrt (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))))
  (/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (- x y)
  1
  (/ 1 (+ (* x x) (* y y)))
  (/ (* (+ (pow y 3) (pow x 3)) (- (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ (* (- (pow x 3) (pow y 3)) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (* (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) (+ (pow x 3) (pow y 3)))
  (/ (- (* x x) (* y y)) (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
  (/ (* (- x y) (+ (pow x 3) (pow y 3))) (+ (* x x) (* y y)))
  (/ (* (- x y) (- (* x x) (* y y))) (+ (* x x) (* y y)))
  (* (/ (+ x y) (+ (* x x) (* y y))) (- (pow x 3) (pow y 3)))
  (/ (* (- (* x x) (* y y)) (+ x y)) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))
  (/ 1 (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow y 6) (pow x 6))
  (- (pow y 4) (- (* (* x x) (* y y)) (pow x 4)))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  -1
  1
  1
  -1
  1
  1
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
7.291 * * * [progress]: adding candidates to table
7.542 * * [progress]: iteration 3 / 4
7.542 * * * [progress]: picking best candidate
7.555 * * * * [pick]: Picked  #<alt (λ (x y) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))>
7.555 * * * [progress]: localizing error
7.579 * * * [progress]: generating rewritten candidates
7.579 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
7.621 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2)
7.632 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
7.650 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
7.736 * * * [progress]: generating series expansions
7.736 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
7.737 * [backup-simplify]: Simplify (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) into (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (* (+ x y) (- x y)))
7.737 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (* (+ x y) (- x y))) in (x y) around 0
7.737 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (* (+ x y) (- x y))) in y
7.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y
7.737 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y
7.737 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
7.737 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.737 * [taylor]: Taking taylor expansion of x in y
7.737 * [backup-simplify]: Simplify x into x
7.737 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.737 * [taylor]: Taking taylor expansion of y in y
7.737 * [backup-simplify]: Simplify 0 into 0
7.737 * [backup-simplify]: Simplify 1 into 1
7.737 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.737 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.737 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.738 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
7.738 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
7.739 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
7.739 * [taylor]: Taking taylor expansion of (+ x y) in y
7.739 * [taylor]: Taking taylor expansion of x in y
7.739 * [backup-simplify]: Simplify x into x
7.739 * [taylor]: Taking taylor expansion of y in y
7.739 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify 1 into 1
7.739 * [taylor]: Taking taylor expansion of (- x y) in y
7.739 * [taylor]: Taking taylor expansion of x in y
7.739 * [backup-simplify]: Simplify x into x
7.739 * [taylor]: Taking taylor expansion of y in y
7.739 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify 1 into 1
7.739 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (* (+ x y) (- x y))) in x
7.739 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
7.739 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
7.739 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.739 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.739 * [taylor]: Taking taylor expansion of x in x
7.739 * [backup-simplify]: Simplify 0 into 0
7.739 * [backup-simplify]: Simplify 1 into 1
7.739 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.739 * [taylor]: Taking taylor expansion of y in x
7.739 * [backup-simplify]: Simplify y into y
7.740 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.740 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.740 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.740 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
7.740 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.740 * [backup-simplify]: Simplify (+ 0 0) into 0
7.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
7.741 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
7.741 * [taylor]: Taking taylor expansion of (+ x y) in x
7.741 * [taylor]: Taking taylor expansion of x in x
7.741 * [backup-simplify]: Simplify 0 into 0
7.741 * [backup-simplify]: Simplify 1 into 1
7.741 * [taylor]: Taking taylor expansion of y in x
7.741 * [backup-simplify]: Simplify y into y
7.741 * [taylor]: Taking taylor expansion of (- x y) in x
7.741 * [taylor]: Taking taylor expansion of x in x
7.741 * [backup-simplify]: Simplify 0 into 0
7.741 * [backup-simplify]: Simplify 1 into 1
7.741 * [taylor]: Taking taylor expansion of y in x
7.741 * [backup-simplify]: Simplify y into y
7.741 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) (* (+ x y) (- x y))) in x
7.741 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
7.741 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
7.741 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.741 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.741 * [taylor]: Taking taylor expansion of x in x
7.741 * [backup-simplify]: Simplify 0 into 0
7.741 * [backup-simplify]: Simplify 1 into 1
7.741 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.742 * [taylor]: Taking taylor expansion of y in x
7.742 * [backup-simplify]: Simplify y into y
7.742 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.742 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.742 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.742 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
7.742 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.742 * [backup-simplify]: Simplify (+ 0 0) into 0
7.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
7.743 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
7.743 * [taylor]: Taking taylor expansion of (+ x y) in x
7.743 * [taylor]: Taking taylor expansion of x in x
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [taylor]: Taking taylor expansion of y in x
7.743 * [backup-simplify]: Simplify y into y
7.743 * [taylor]: Taking taylor expansion of (- x y) in x
7.743 * [taylor]: Taking taylor expansion of x in x
7.743 * [backup-simplify]: Simplify 0 into 0
7.743 * [backup-simplify]: Simplify 1 into 1
7.743 * [taylor]: Taking taylor expansion of y in x
7.743 * [backup-simplify]: Simplify y into y
7.743 * [backup-simplify]: Simplify (+ 0 y) into y
7.743 * [backup-simplify]: Simplify (- y) into (- y)
7.743 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
7.744 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
7.744 * [backup-simplify]: Simplify (* (/ 1 y) (* -1 (pow y 2))) into (* -1 y)
7.744 * [taylor]: Taking taylor expansion of (* -1 y) in y
7.744 * [taylor]: Taking taylor expansion of -1 in y
7.744 * [backup-simplify]: Simplify -1 into -1
7.744 * [taylor]: Taking taylor expansion of y in y
7.744 * [backup-simplify]: Simplify 0 into 0
7.744 * [backup-simplify]: Simplify 1 into 1
7.744 * [backup-simplify]: Simplify (* -1 0) into 0
7.744 * [backup-simplify]: Simplify 0 into 0
7.745 * [backup-simplify]: Simplify (- 0) into 0
7.745 * [backup-simplify]: Simplify (+ 1 0) into 1
7.745 * [backup-simplify]: Simplify (+ 1 0) into 1
7.746 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
7.746 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (* -1 (pow y 2)))) into 0
7.746 * [taylor]: Taking taylor expansion of 0 in y
7.746 * [backup-simplify]: Simplify 0 into 0
7.746 * [backup-simplify]: Simplify 0 into 0
7.747 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
7.747 * [backup-simplify]: Simplify -1 into -1
7.747 * [backup-simplify]: Simplify (- 0) into 0
7.747 * [backup-simplify]: Simplify (+ 0 0) into 0
7.748 * [backup-simplify]: Simplify (+ 0 0) into 0
7.752 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
7.753 * [backup-simplify]: Simplify (* 1 1) into 1
7.753 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.754 * [backup-simplify]: Simplify (+ 1 0) into 1
7.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4)))
7.755 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 4))) (pow 0 2) (+)) (* 2 (/ 1 y))) into (/ -1/2 (pow y 3))
7.756 * [backup-simplify]: Simplify (+ (* (/ 1 y) 1) (+ (* 0 0) (* (/ -1/2 (pow y 3)) (* -1 (pow y 2))))) into (* 3/2 (/ 1 y))
7.756 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 y)) in y
7.756 * [taylor]: Taking taylor expansion of 3/2 in y
7.756 * [backup-simplify]: Simplify 3/2 into 3/2
7.756 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.756 * [taylor]: Taking taylor expansion of y in y
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 1 into 1
7.757 * [backup-simplify]: Simplify (/ 1 1) into 1
7.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.758 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0
7.758 * [backup-simplify]: Simplify 0 into 0
7.758 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
7.759 * [backup-simplify]: Simplify 0 into 0
7.759 * [backup-simplify]: Simplify (- 0) into 0
7.760 * [backup-simplify]: Simplify (+ 0 0) into 0
7.760 * [backup-simplify]: Simplify (+ 0 0) into 0
7.761 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.762 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.762 * [backup-simplify]: Simplify (+ 0 0) into 0
7.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (- (/ 1 (pow y 4))) (/ 0 (pow y 2))))) into 0
7.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 3)))))) (* 2 (/ 1 y))) into 0
7.764 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 1) (+ (* (/ -1/2 (pow y 3)) 0) (* 0 (* -1 (pow y 2)))))) into 0
7.764 * [taylor]: Taking taylor expansion of 0 in y
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.766 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 0) (* 0 1))) into 0
7.766 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify (* -1 (* y 1)) into (* -1 y)
7.766 * [backup-simplify]: Simplify (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (* (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))
7.766 * [approximate]: Taking taylor expansion of (* (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in (x y) around 0
7.766 * [taylor]: Taking taylor expansion of (* (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
7.766 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
7.766 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
7.766 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.766 * [taylor]: Taking taylor expansion of x in y
7.766 * [backup-simplify]: Simplify x into x
7.767 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.767 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.767 * [taylor]: Taking taylor expansion of y in y
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 1 into 1
7.767 * [backup-simplify]: Simplify (/ 1 1) into 1
7.767 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
7.767 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.767 * [taylor]: Taking taylor expansion of y in y
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 1 into 1
7.767 * [backup-simplify]: Simplify (/ 1 1) into 1
7.767 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.768 * [taylor]: Taking taylor expansion of x in y
7.768 * [backup-simplify]: Simplify x into x
7.768 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.768 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
7.768 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.768 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.768 * [taylor]: Taking taylor expansion of x in y
7.768 * [backup-simplify]: Simplify x into x
7.768 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.768 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.768 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.768 * [taylor]: Taking taylor expansion of y in y
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 1 into 1
7.768 * [backup-simplify]: Simplify (* 1 1) into 1
7.769 * [backup-simplify]: Simplify (/ 1 1) into 1
7.769 * [backup-simplify]: Simplify (+ 0 1) into 1
7.769 * [backup-simplify]: Simplify (/ 1 1) into 1
7.770 * [backup-simplify]: Simplify (sqrt 1) into 1
7.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.771 * [backup-simplify]: Simplify (+ 0 0) into 0
7.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.773 * [taylor]: Taking taylor expansion of (* (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
7.773 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
7.773 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
7.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.773 * [taylor]: Taking taylor expansion of x in x
7.773 * [backup-simplify]: Simplify 0 into 0
7.773 * [backup-simplify]: Simplify 1 into 1
7.773 * [backup-simplify]: Simplify (/ 1 1) into 1
7.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.773 * [taylor]: Taking taylor expansion of y in x
7.773 * [backup-simplify]: Simplify y into y
7.773 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.773 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
7.773 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.773 * [taylor]: Taking taylor expansion of y in x
7.773 * [backup-simplify]: Simplify y into y
7.773 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.773 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.773 * [taylor]: Taking taylor expansion of x in x
7.773 * [backup-simplify]: Simplify 0 into 0
7.773 * [backup-simplify]: Simplify 1 into 1
7.774 * [backup-simplify]: Simplify (/ 1 1) into 1
7.774 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
7.774 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.774 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.774 * [taylor]: Taking taylor expansion of x in x
7.774 * [backup-simplify]: Simplify 0 into 0
7.774 * [backup-simplify]: Simplify 1 into 1
7.774 * [backup-simplify]: Simplify (* 1 1) into 1
7.775 * [backup-simplify]: Simplify (/ 1 1) into 1
7.775 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.775 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.775 * [taylor]: Taking taylor expansion of y in x
7.775 * [backup-simplify]: Simplify y into y
7.775 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.775 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.775 * [backup-simplify]: Simplify (+ 1 0) into 1
7.776 * [backup-simplify]: Simplify (/ 1 1) into 1
7.776 * [backup-simplify]: Simplify (sqrt 1) into 1
7.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.778 * [backup-simplify]: Simplify (+ 0 0) into 0
7.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.779 * [taylor]: Taking taylor expansion of (* (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
7.779 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
7.779 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
7.779 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.779 * [taylor]: Taking taylor expansion of x in x
7.779 * [backup-simplify]: Simplify 0 into 0
7.779 * [backup-simplify]: Simplify 1 into 1
7.779 * [backup-simplify]: Simplify (/ 1 1) into 1
7.779 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.780 * [taylor]: Taking taylor expansion of y in x
7.780 * [backup-simplify]: Simplify y into y
7.780 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.780 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
7.780 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.780 * [taylor]: Taking taylor expansion of y in x
7.780 * [backup-simplify]: Simplify y into y
7.780 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.780 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.780 * [taylor]: Taking taylor expansion of x in x
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 1 into 1
7.780 * [backup-simplify]: Simplify (/ 1 1) into 1
7.780 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
7.780 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.780 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.780 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.780 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.780 * [taylor]: Taking taylor expansion of x in x
7.780 * [backup-simplify]: Simplify 0 into 0
7.780 * [backup-simplify]: Simplify 1 into 1
7.781 * [backup-simplify]: Simplify (* 1 1) into 1
7.781 * [backup-simplify]: Simplify (/ 1 1) into 1
7.781 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.781 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.781 * [taylor]: Taking taylor expansion of y in x
7.781 * [backup-simplify]: Simplify y into y
7.781 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.781 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.782 * [backup-simplify]: Simplify (+ 1 0) into 1
7.782 * [backup-simplify]: Simplify (/ 1 1) into 1
7.782 * [backup-simplify]: Simplify (sqrt 1) into 1
7.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.784 * [backup-simplify]: Simplify (+ 0 0) into 0
7.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.786 * [backup-simplify]: Simplify (+ 1 0) into 1
7.786 * [backup-simplify]: Simplify (+ 0 1) into 1
7.786 * [backup-simplify]: Simplify (* 1 1) into 1
7.787 * [backup-simplify]: Simplify (* 1 1) into 1
7.787 * [taylor]: Taking taylor expansion of 1 in y
7.787 * [backup-simplify]: Simplify 1 into 1
7.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.787 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
7.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.788 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
7.788 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
7.788 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
7.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.789 * [taylor]: Taking taylor expansion of 0 in y
7.789 * [backup-simplify]: Simplify 0 into 0
7.789 * [backup-simplify]: Simplify 1 into 1
7.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.790 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
7.791 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y 2))
7.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.792 * [backup-simplify]: Simplify (+ 0 0) into 0
7.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.793 * [backup-simplify]: Simplify (- 0) into 0
7.793 * [backup-simplify]: Simplify (+ 0 0) into 0
7.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
7.794 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y 2))) (+ (* 0 0) (* (- (/ 1 (pow y 2))) 1))) into (- (* 3/2 (/ 1 (pow y 2))))
7.794 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y
7.794 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y
7.794 * [taylor]: Taking taylor expansion of 3/2 in y
7.794 * [backup-simplify]: Simplify 3/2 into 3/2
7.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.795 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.795 * [taylor]: Taking taylor expansion of y in y
7.795 * [backup-simplify]: Simplify 0 into 0
7.795 * [backup-simplify]: Simplify 1 into 1
7.795 * [backup-simplify]: Simplify (* 1 1) into 1
7.795 * [backup-simplify]: Simplify (/ 1 1) into 1
7.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.796 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0
7.796 * [backup-simplify]: Simplify (- 0) into 0
7.796 * [backup-simplify]: Simplify 0 into 0
7.796 * [backup-simplify]: Simplify 0 into 0
7.796 * [backup-simplify]: Simplify 0 into 0
7.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.798 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.798 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.798 * [backup-simplify]: Simplify (+ 0 0) into 0
7.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
7.799 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 2)))))) (* 2 1)) into 0
7.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.800 * [backup-simplify]: Simplify (+ 0 0) into 0
7.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.801 * [backup-simplify]: Simplify (- 0) into 0
7.801 * [backup-simplify]: Simplify (+ 0 0) into 0
7.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
7.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow y 2))) (+ (* (- (/ 1 (pow y 2))) 0) (* 0 1)))) into 0
7.802 * [taylor]: Taking taylor expansion of 0 in y
7.802 * [backup-simplify]: Simplify 0 into 0
7.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.804 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 0) (* 0 1))) into 0
7.804 * [backup-simplify]: Simplify (- 0) into 0
7.804 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify 0 into 0
7.804 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.805 * [backup-simplify]: Simplify (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (* (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))
7.805 * [approximate]: Taking taylor expansion of (* -1 (* (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in (x y) around 0
7.805 * [taylor]: Taking taylor expansion of (* -1 (* (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in y
7.805 * [taylor]: Taking taylor expansion of -1 in y
7.805 * [backup-simplify]: Simplify -1 into -1
7.805 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
7.805 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
7.805 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
7.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.805 * [taylor]: Taking taylor expansion of y in y
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 1 into 1
7.805 * [backup-simplify]: Simplify (/ 1 1) into 1
7.805 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.805 * [taylor]: Taking taylor expansion of x in y
7.805 * [backup-simplify]: Simplify x into x
7.805 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.805 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
7.805 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.805 * [taylor]: Taking taylor expansion of y in y
7.805 * [backup-simplify]: Simplify 0 into 0
7.805 * [backup-simplify]: Simplify 1 into 1
7.806 * [backup-simplify]: Simplify (/ 1 1) into 1
7.806 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.806 * [taylor]: Taking taylor expansion of x in y
7.806 * [backup-simplify]: Simplify x into x
7.806 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.806 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
7.806 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.806 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.806 * [taylor]: Taking taylor expansion of x in y
7.806 * [backup-simplify]: Simplify x into x
7.806 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.806 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.806 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.806 * [taylor]: Taking taylor expansion of y in y
7.806 * [backup-simplify]: Simplify 0 into 0
7.806 * [backup-simplify]: Simplify 1 into 1
7.806 * [backup-simplify]: Simplify (* 1 1) into 1
7.806 * [backup-simplify]: Simplify (/ 1 1) into 1
7.807 * [backup-simplify]: Simplify (+ 0 1) into 1
7.807 * [backup-simplify]: Simplify (/ 1 1) into 1
7.807 * [backup-simplify]: Simplify (sqrt 1) into 1
7.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.808 * [backup-simplify]: Simplify (+ 0 0) into 0
7.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.809 * [taylor]: Taking taylor expansion of (* -1 (* (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x
7.809 * [taylor]: Taking taylor expansion of -1 in x
7.809 * [backup-simplify]: Simplify -1 into -1
7.809 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
7.809 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
7.809 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
7.809 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.809 * [taylor]: Taking taylor expansion of y in x
7.809 * [backup-simplify]: Simplify y into y
7.809 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.809 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.809 * [taylor]: Taking taylor expansion of x in x
7.809 * [backup-simplify]: Simplify 0 into 0
7.809 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (/ 1 1) into 1
7.810 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
7.810 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.810 * [taylor]: Taking taylor expansion of y in x
7.810 * [backup-simplify]: Simplify y into y
7.810 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.810 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.810 * [taylor]: Taking taylor expansion of x in x
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (/ 1 1) into 1
7.810 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
7.810 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.810 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.810 * [taylor]: Taking taylor expansion of x in x
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (* 1 1) into 1
7.811 * [backup-simplify]: Simplify (/ 1 1) into 1
7.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.811 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.811 * [taylor]: Taking taylor expansion of y in x
7.811 * [backup-simplify]: Simplify y into y
7.811 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.811 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.811 * [backup-simplify]: Simplify (+ 1 0) into 1
7.811 * [backup-simplify]: Simplify (/ 1 1) into 1
7.812 * [backup-simplify]: Simplify (sqrt 1) into 1
7.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.813 * [backup-simplify]: Simplify (+ 0 0) into 0
7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.813 * [taylor]: Taking taylor expansion of (* -1 (* (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) in x
7.813 * [taylor]: Taking taylor expansion of -1 in x
7.813 * [backup-simplify]: Simplify -1 into -1
7.813 * [taylor]: Taking taylor expansion of (* (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
7.813 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
7.814 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
7.814 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.814 * [taylor]: Taking taylor expansion of y in x
7.814 * [backup-simplify]: Simplify y into y
7.814 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.814 * [taylor]: Taking taylor expansion of x in x
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 1 into 1
7.814 * [backup-simplify]: Simplify (/ 1 1) into 1
7.814 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
7.814 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.814 * [taylor]: Taking taylor expansion of y in x
7.814 * [backup-simplify]: Simplify y into y
7.814 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.814 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.814 * [taylor]: Taking taylor expansion of x in x
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 1 into 1
7.814 * [backup-simplify]: Simplify (/ 1 1) into 1
7.814 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
7.814 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.814 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.814 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.814 * [taylor]: Taking taylor expansion of x in x
7.814 * [backup-simplify]: Simplify 0 into 0
7.814 * [backup-simplify]: Simplify 1 into 1
7.815 * [backup-simplify]: Simplify (* 1 1) into 1
7.815 * [backup-simplify]: Simplify (/ 1 1) into 1
7.815 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.815 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.815 * [taylor]: Taking taylor expansion of y in x
7.815 * [backup-simplify]: Simplify y into y
7.815 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.815 * [backup-simplify]: Simplify (+ 1 0) into 1
7.816 * [backup-simplify]: Simplify (/ 1 1) into 1
7.816 * [backup-simplify]: Simplify (sqrt 1) into 1
7.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.817 * [backup-simplify]: Simplify (+ 0 0) into 0
7.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.818 * [backup-simplify]: Simplify (+ 0 1) into 1
7.818 * [backup-simplify]: Simplify (- 1) into -1
7.818 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.819 * [backup-simplify]: Simplify (* 1 -1) into -1
7.819 * [backup-simplify]: Simplify (* -1 1) into -1
7.819 * [backup-simplify]: Simplify (* -1 -1) into 1
7.819 * [taylor]: Taking taylor expansion of 1 in y
7.819 * [backup-simplify]: Simplify 1 into 1
7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.820 * [backup-simplify]: Simplify (- 0) into 0
7.820 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.820 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
7.820 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
7.821 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 1)) into 0
7.821 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.821 * [taylor]: Taking taylor expansion of 0 in y
7.821 * [backup-simplify]: Simplify 0 into 0
7.821 * [backup-simplify]: Simplify 1 into 1
7.822 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.822 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2)))
7.824 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y 2))
7.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.824 * [backup-simplify]: Simplify (- 0) into 0
7.825 * [backup-simplify]: Simplify (+ 0 0) into 0
7.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.825 * [backup-simplify]: Simplify (+ 0 0) into 0
7.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
7.826 * [backup-simplify]: Simplify (+ (* -1 (/ -1/2 (pow y 2))) (+ (* 0 0) (* (/ 1 (pow y 2)) 1))) into (* 3/2 (/ 1 (pow y 2)))
7.827 * [backup-simplify]: Simplify (+ (* -1 (* 3/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 3/2 (/ 1 (pow y 2))))
7.827 * [taylor]: Taking taylor expansion of (- (* 3/2 (/ 1 (pow y 2)))) in y
7.827 * [taylor]: Taking taylor expansion of (* 3/2 (/ 1 (pow y 2))) in y
7.827 * [taylor]: Taking taylor expansion of 3/2 in y
7.827 * [backup-simplify]: Simplify 3/2 into 3/2
7.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.827 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.827 * [taylor]: Taking taylor expansion of y in y
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (* 1 1) into 1
7.828 * [backup-simplify]: Simplify (/ 1 1) into 1
7.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.830 * [backup-simplify]: Simplify (+ (* 3/2 0) (* 0 1)) into 0
7.830 * [backup-simplify]: Simplify (- 0) into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.830 * [backup-simplify]: Simplify 0 into 0
7.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.832 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.832 * [backup-simplify]: Simplify (+ 0 0) into 0
7.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (/ 1 (pow y 2))) (/ 0 1)))) into 0
7.834 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y 2)))))) (* 2 1)) into 0
7.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.835 * [backup-simplify]: Simplify (- 0) into 0
7.836 * [backup-simplify]: Simplify (+ 0 0) into 0
7.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.837 * [backup-simplify]: Simplify (+ 0 0) into 0
7.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
7.839 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (/ -1/2 (pow y 2))) (+ (* (/ 1 (pow y 2)) 0) (* 0 1)))) into 0
7.840 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 3/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
7.840 * [taylor]: Taking taylor expansion of 0 in y
7.840 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.842 * [backup-simplify]: Simplify (+ (* 3/2 0) (+ (* 0 0) (* 0 1))) into 0
7.843 * [backup-simplify]: Simplify (- 0) into 0
7.843 * [backup-simplify]: Simplify 0 into 0
7.843 * [backup-simplify]: Simplify 0 into 0
7.843 * [backup-simplify]: Simplify 0 into 0
7.843 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.843 * * * * [progress]: [ 2 / 4 ] generating series at (2 2)
7.843 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
7.843 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
7.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
7.843 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
7.843 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.843 * [taylor]: Taking taylor expansion of x in y
7.843 * [backup-simplify]: Simplify x into x
7.843 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.843 * [taylor]: Taking taylor expansion of y in y
7.843 * [backup-simplify]: Simplify 0 into 0
7.843 * [backup-simplify]: Simplify 1 into 1
7.843 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.844 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.844 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.844 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.844 * [backup-simplify]: Simplify (+ 0 0) into 0
7.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.844 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
7.844 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.844 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.844 * [taylor]: Taking taylor expansion of x in x
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify 1 into 1
7.844 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.845 * [taylor]: Taking taylor expansion of y in x
7.845 * [backup-simplify]: Simplify y into y
7.845 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.845 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.845 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.845 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.845 * [backup-simplify]: Simplify (+ 0 0) into 0
7.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.845 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
7.845 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.845 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.846 * [taylor]: Taking taylor expansion of x in x
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 1 into 1
7.846 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.846 * [taylor]: Taking taylor expansion of y in x
7.846 * [backup-simplify]: Simplify y into y
7.846 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.846 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.846 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.846 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.846 * [backup-simplify]: Simplify (+ 0 0) into 0
7.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.847 * [taylor]: Taking taylor expansion of y in y
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 1 into 1
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [taylor]: Taking taylor expansion of 0 in y
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 1 into 1
7.847 * [backup-simplify]: Simplify (* 1 1) into 1
7.848 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.848 * [backup-simplify]: Simplify (+ 1 0) into 1
7.849 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
7.849 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
7.849 * [taylor]: Taking taylor expansion of 1/2 in y
7.849 * [backup-simplify]: Simplify 1/2 into 1/2
7.849 * [taylor]: Taking taylor expansion of y in y
7.849 * [backup-simplify]: Simplify 0 into 0
7.849 * [backup-simplify]: Simplify 1 into 1
7.849 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.850 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.850 * [backup-simplify]: Simplify 0 into 0
7.850 * [backup-simplify]: Simplify 0 into 0
7.850 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.851 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.852 * [backup-simplify]: Simplify (+ 0 0) into 0
7.852 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
7.852 * [taylor]: Taking taylor expansion of 0 in y
7.852 * [backup-simplify]: Simplify 0 into 0
7.852 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify 0 into 0
7.853 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
7.853 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.853 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
7.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.853 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.853 * [taylor]: Taking taylor expansion of x in y
7.853 * [backup-simplify]: Simplify x into x
7.853 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.854 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.854 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.854 * [taylor]: Taking taylor expansion of y in y
7.854 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify 1 into 1
7.854 * [backup-simplify]: Simplify (* 1 1) into 1
7.854 * [backup-simplify]: Simplify (/ 1 1) into 1
7.855 * [backup-simplify]: Simplify (+ 0 1) into 1
7.855 * [backup-simplify]: Simplify (sqrt 1) into 1
7.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.857 * [backup-simplify]: Simplify (+ 0 0) into 0
7.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.857 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.857 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.857 * [taylor]: Taking taylor expansion of x in x
7.857 * [backup-simplify]: Simplify 0 into 0
7.857 * [backup-simplify]: Simplify 1 into 1
7.858 * [backup-simplify]: Simplify (* 1 1) into 1
7.858 * [backup-simplify]: Simplify (/ 1 1) into 1
7.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.858 * [taylor]: Taking taylor expansion of y in x
7.858 * [backup-simplify]: Simplify y into y
7.858 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.858 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.859 * [backup-simplify]: Simplify (+ 1 0) into 1
7.859 * [backup-simplify]: Simplify (sqrt 1) into 1
7.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.861 * [backup-simplify]: Simplify (+ 0 0) into 0
7.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.861 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.861 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.861 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.861 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.861 * [taylor]: Taking taylor expansion of x in x
7.861 * [backup-simplify]: Simplify 0 into 0
7.861 * [backup-simplify]: Simplify 1 into 1
7.862 * [backup-simplify]: Simplify (* 1 1) into 1
7.862 * [backup-simplify]: Simplify (/ 1 1) into 1
7.862 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.862 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.862 * [taylor]: Taking taylor expansion of y in x
7.862 * [backup-simplify]: Simplify y into y
7.862 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.862 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.868 * [backup-simplify]: Simplify (+ 1 0) into 1
7.869 * [backup-simplify]: Simplify (sqrt 1) into 1
7.869 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.870 * [backup-simplify]: Simplify (+ 0 0) into 0
7.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.871 * [taylor]: Taking taylor expansion of 1 in y
7.871 * [backup-simplify]: Simplify 1 into 1
7.871 * [taylor]: Taking taylor expansion of 0 in y
7.871 * [backup-simplify]: Simplify 0 into 0
7.871 * [backup-simplify]: Simplify 1 into 1
7.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.873 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.874 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.874 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.874 * [taylor]: Taking taylor expansion of 1/2 in y
7.874 * [backup-simplify]: Simplify 1/2 into 1/2
7.874 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.874 * [taylor]: Taking taylor expansion of y in y
7.874 * [backup-simplify]: Simplify 0 into 0
7.874 * [backup-simplify]: Simplify 1 into 1
7.874 * [backup-simplify]: Simplify (* 1 1) into 1
7.875 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify 0 into 0
7.876 * [backup-simplify]: Simplify 0 into 0
7.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.878 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.878 * [backup-simplify]: Simplify (+ 0 0) into 0
7.879 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.879 * [taylor]: Taking taylor expansion of 0 in y
7.879 * [backup-simplify]: Simplify 0 into 0
7.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.881 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.881 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
7.881 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.881 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.881 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.881 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.881 * [taylor]: Taking taylor expansion of x in y
7.881 * [backup-simplify]: Simplify x into x
7.881 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.882 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.882 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.882 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.882 * [taylor]: Taking taylor expansion of y in y
7.882 * [backup-simplify]: Simplify 0 into 0
7.882 * [backup-simplify]: Simplify 1 into 1
7.882 * [backup-simplify]: Simplify (* 1 1) into 1
7.882 * [backup-simplify]: Simplify (/ 1 1) into 1
7.883 * [backup-simplify]: Simplify (+ 0 1) into 1
7.883 * [backup-simplify]: Simplify (sqrt 1) into 1
7.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.885 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.885 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.885 * [taylor]: Taking taylor expansion of x in x
7.885 * [backup-simplify]: Simplify 0 into 0
7.885 * [backup-simplify]: Simplify 1 into 1
7.886 * [backup-simplify]: Simplify (* 1 1) into 1
7.886 * [backup-simplify]: Simplify (/ 1 1) into 1
7.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.886 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.886 * [taylor]: Taking taylor expansion of y in x
7.886 * [backup-simplify]: Simplify y into y
7.886 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.886 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.887 * [backup-simplify]: Simplify (+ 1 0) into 1
7.887 * [backup-simplify]: Simplify (sqrt 1) into 1
7.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.889 * [backup-simplify]: Simplify (+ 0 0) into 0
7.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.889 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.889 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.889 * [taylor]: Taking taylor expansion of x in x
7.889 * [backup-simplify]: Simplify 0 into 0
7.889 * [backup-simplify]: Simplify 1 into 1
7.890 * [backup-simplify]: Simplify (* 1 1) into 1
7.890 * [backup-simplify]: Simplify (/ 1 1) into 1
7.890 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.890 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.890 * [taylor]: Taking taylor expansion of y in x
7.890 * [backup-simplify]: Simplify y into y
7.890 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.890 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.891 * [backup-simplify]: Simplify (+ 1 0) into 1
7.891 * [backup-simplify]: Simplify (sqrt 1) into 1
7.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.893 * [backup-simplify]: Simplify (+ 0 0) into 0
7.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.893 * [taylor]: Taking taylor expansion of 1 in y
7.893 * [backup-simplify]: Simplify 1 into 1
7.893 * [taylor]: Taking taylor expansion of 0 in y
7.893 * [backup-simplify]: Simplify 0 into 0
7.893 * [backup-simplify]: Simplify 1 into 1
7.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.895 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.896 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.896 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.896 * [taylor]: Taking taylor expansion of 1/2 in y
7.896 * [backup-simplify]: Simplify 1/2 into 1/2
7.896 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.896 * [taylor]: Taking taylor expansion of y in y
7.896 * [backup-simplify]: Simplify 0 into 0
7.896 * [backup-simplify]: Simplify 1 into 1
7.897 * [backup-simplify]: Simplify (* 1 1) into 1
7.897 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.898 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.900 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.901 * [backup-simplify]: Simplify (+ 0 0) into 0
7.901 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.901 * [taylor]: Taking taylor expansion of 0 in y
7.902 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify 0 into 0
7.903 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.903 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
7.904 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
7.904 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
7.904 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
7.904 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
7.904 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.904 * [taylor]: Taking taylor expansion of x in y
7.904 * [backup-simplify]: Simplify x into x
7.904 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.904 * [taylor]: Taking taylor expansion of y in y
7.904 * [backup-simplify]: Simplify 0 into 0
7.904 * [backup-simplify]: Simplify 1 into 1
7.904 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.904 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.904 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.904 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.905 * [backup-simplify]: Simplify (+ 0 0) into 0
7.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.905 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
7.905 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.905 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.905 * [taylor]: Taking taylor expansion of x in x
7.905 * [backup-simplify]: Simplify 0 into 0
7.905 * [backup-simplify]: Simplify 1 into 1
7.905 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.905 * [taylor]: Taking taylor expansion of y in x
7.905 * [backup-simplify]: Simplify y into y
7.905 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.905 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.905 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.905 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.906 * [backup-simplify]: Simplify (+ 0 0) into 0
7.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.906 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
7.906 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.906 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.906 * [taylor]: Taking taylor expansion of x in x
7.906 * [backup-simplify]: Simplify 0 into 0
7.906 * [backup-simplify]: Simplify 1 into 1
7.906 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.906 * [taylor]: Taking taylor expansion of y in x
7.906 * [backup-simplify]: Simplify y into y
7.906 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.906 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.906 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.907 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.907 * [backup-simplify]: Simplify (+ 0 0) into 0
7.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.907 * [taylor]: Taking taylor expansion of y in y
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [taylor]: Taking taylor expansion of 0 in y
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 0 into 0
7.907 * [backup-simplify]: Simplify 1 into 1
7.908 * [backup-simplify]: Simplify (* 1 1) into 1
7.908 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.908 * [backup-simplify]: Simplify (+ 1 0) into 1
7.909 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
7.909 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
7.909 * [taylor]: Taking taylor expansion of 1/2 in y
7.909 * [backup-simplify]: Simplify 1/2 into 1/2
7.909 * [taylor]: Taking taylor expansion of y in y
7.909 * [backup-simplify]: Simplify 0 into 0
7.909 * [backup-simplify]: Simplify 1 into 1
7.910 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.911 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify 0 into 0
7.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.912 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.912 * [backup-simplify]: Simplify (+ 0 0) into 0
7.913 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
7.913 * [taylor]: Taking taylor expansion of 0 in y
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify 0 into 0
7.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.913 * [backup-simplify]: Simplify 0 into 0
7.914 * [backup-simplify]: Simplify 0 into 0
7.914 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
7.914 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.914 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
7.914 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.914 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.914 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.914 * [taylor]: Taking taylor expansion of x in y
7.914 * [backup-simplify]: Simplify x into x
7.914 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.914 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.914 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.914 * [taylor]: Taking taylor expansion of y in y
7.914 * [backup-simplify]: Simplify 0 into 0
7.914 * [backup-simplify]: Simplify 1 into 1
7.915 * [backup-simplify]: Simplify (* 1 1) into 1
7.915 * [backup-simplify]: Simplify (/ 1 1) into 1
7.915 * [backup-simplify]: Simplify (+ 0 1) into 1
7.916 * [backup-simplify]: Simplify (sqrt 1) into 1
7.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.917 * [backup-simplify]: Simplify (+ 0 0) into 0
7.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.918 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.918 * [taylor]: Taking taylor expansion of x in x
7.918 * [backup-simplify]: Simplify 0 into 0
7.918 * [backup-simplify]: Simplify 1 into 1
7.919 * [backup-simplify]: Simplify (* 1 1) into 1
7.919 * [backup-simplify]: Simplify (/ 1 1) into 1
7.919 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.919 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.919 * [taylor]: Taking taylor expansion of y in x
7.919 * [backup-simplify]: Simplify y into y
7.919 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.919 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.920 * [backup-simplify]: Simplify (+ 1 0) into 1
7.920 * [backup-simplify]: Simplify (sqrt 1) into 1
7.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.922 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.922 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.922 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.922 * [taylor]: Taking taylor expansion of x in x
7.922 * [backup-simplify]: Simplify 0 into 0
7.922 * [backup-simplify]: Simplify 1 into 1
7.923 * [backup-simplify]: Simplify (* 1 1) into 1
7.923 * [backup-simplify]: Simplify (/ 1 1) into 1
7.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.923 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.923 * [taylor]: Taking taylor expansion of y in x
7.923 * [backup-simplify]: Simplify y into y
7.923 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.923 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.924 * [backup-simplify]: Simplify (+ 1 0) into 1
7.924 * [backup-simplify]: Simplify (sqrt 1) into 1
7.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.925 * [backup-simplify]: Simplify (+ 0 0) into 0
7.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.926 * [taylor]: Taking taylor expansion of 1 in y
7.926 * [backup-simplify]: Simplify 1 into 1
7.926 * [taylor]: Taking taylor expansion of 0 in y
7.926 * [backup-simplify]: Simplify 0 into 0
7.926 * [backup-simplify]: Simplify 1 into 1
7.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.928 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.929 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.929 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.929 * [taylor]: Taking taylor expansion of 1/2 in y
7.929 * [backup-simplify]: Simplify 1/2 into 1/2
7.929 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.929 * [taylor]: Taking taylor expansion of y in y
7.929 * [backup-simplify]: Simplify 0 into 0
7.929 * [backup-simplify]: Simplify 1 into 1
7.929 * [backup-simplify]: Simplify (* 1 1) into 1
7.930 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.933 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.934 * [backup-simplify]: Simplify (+ 0 0) into 0
7.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.934 * [taylor]: Taking taylor expansion of 0 in y
7.934 * [backup-simplify]: Simplify 0 into 0
7.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.936 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.936 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
7.936 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.936 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.936 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.936 * [taylor]: Taking taylor expansion of x in y
7.937 * [backup-simplify]: Simplify x into x
7.937 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.937 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.937 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.937 * [taylor]: Taking taylor expansion of y in y
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify (* 1 1) into 1
7.938 * [backup-simplify]: Simplify (/ 1 1) into 1
7.938 * [backup-simplify]: Simplify (+ 0 1) into 1
7.938 * [backup-simplify]: Simplify (sqrt 1) into 1
7.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ 0 0) into 0
7.940 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.940 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.940 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.940 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.940 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.940 * [taylor]: Taking taylor expansion of x in x
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify 1 into 1
7.941 * [backup-simplify]: Simplify (* 1 1) into 1
7.941 * [backup-simplify]: Simplify (/ 1 1) into 1
7.941 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.941 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.941 * [taylor]: Taking taylor expansion of y in x
7.941 * [backup-simplify]: Simplify y into y
7.941 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.941 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.942 * [backup-simplify]: Simplify (+ 1 0) into 1
7.942 * [backup-simplify]: Simplify (sqrt 1) into 1
7.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.944 * [backup-simplify]: Simplify (+ 0 0) into 0
7.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.944 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.944 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.944 * [taylor]: Taking taylor expansion of x in x
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify 1 into 1
7.945 * [backup-simplify]: Simplify (* 1 1) into 1
7.945 * [backup-simplify]: Simplify (/ 1 1) into 1
7.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.945 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.945 * [taylor]: Taking taylor expansion of y in x
7.945 * [backup-simplify]: Simplify y into y
7.945 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.945 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.946 * [backup-simplify]: Simplify (+ 1 0) into 1
7.946 * [backup-simplify]: Simplify (sqrt 1) into 1
7.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.948 * [backup-simplify]: Simplify (+ 0 0) into 0
7.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.948 * [taylor]: Taking taylor expansion of 1 in y
7.948 * [backup-simplify]: Simplify 1 into 1
7.948 * [taylor]: Taking taylor expansion of 0 in y
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify 1 into 1
7.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.950 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.951 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.951 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.951 * [taylor]: Taking taylor expansion of 1/2 in y
7.951 * [backup-simplify]: Simplify 1/2 into 1/2
7.951 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.951 * [taylor]: Taking taylor expansion of y in y
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.952 * [backup-simplify]: Simplify (* 1 1) into 1
7.952 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.954 * [backup-simplify]: Simplify 0 into 0
7.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.956 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.956 * [backup-simplify]: Simplify (+ 0 0) into 0
7.957 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.957 * [taylor]: Taking taylor expansion of 0 in y
7.957 * [backup-simplify]: Simplify 0 into 0
7.958 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.959 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify 0 into 0
7.959 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
7.959 * * * * [progress]: [ 4 / 4 ] generating series at (2)
7.960 * [backup-simplify]: Simplify (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))
7.960 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0
7.960 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y
7.960 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
7.960 * [taylor]: Taking taylor expansion of (+ x y) in y
7.960 * [taylor]: Taking taylor expansion of x in y
7.960 * [backup-simplify]: Simplify x into x
7.960 * [taylor]: Taking taylor expansion of y in y
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.960 * [taylor]: Taking taylor expansion of (- x y) in y
7.960 * [taylor]: Taking taylor expansion of x in y
7.960 * [backup-simplify]: Simplify x into x
7.960 * [taylor]: Taking taylor expansion of y in y
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.960 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
7.960 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.960 * [taylor]: Taking taylor expansion of x in y
7.960 * [backup-simplify]: Simplify x into x
7.960 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.960 * [taylor]: Taking taylor expansion of y in y
7.960 * [backup-simplify]: Simplify 0 into 0
7.960 * [backup-simplify]: Simplify 1 into 1
7.960 * [backup-simplify]: Simplify (+ x 0) into x
7.961 * [backup-simplify]: Simplify (- 0) into 0
7.961 * [backup-simplify]: Simplify (+ x 0) into x
7.961 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.961 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.961 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.961 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
7.961 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
7.961 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
7.961 * [taylor]: Taking taylor expansion of (+ x y) in x
7.961 * [taylor]: Taking taylor expansion of x in x
7.961 * [backup-simplify]: Simplify 0 into 0
7.961 * [backup-simplify]: Simplify 1 into 1
7.961 * [taylor]: Taking taylor expansion of y in x
7.961 * [backup-simplify]: Simplify y into y
7.961 * [taylor]: Taking taylor expansion of (- x y) in x
7.961 * [taylor]: Taking taylor expansion of x in x
7.961 * [backup-simplify]: Simplify 0 into 0
7.961 * [backup-simplify]: Simplify 1 into 1
7.961 * [taylor]: Taking taylor expansion of y in x
7.962 * [backup-simplify]: Simplify y into y
7.962 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.962 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.962 * [taylor]: Taking taylor expansion of x in x
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify 1 into 1
7.962 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.962 * [taylor]: Taking taylor expansion of y in x
7.962 * [backup-simplify]: Simplify y into y
7.962 * [backup-simplify]: Simplify (+ 0 y) into y
7.962 * [backup-simplify]: Simplify (- y) into (- y)
7.962 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
7.962 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
7.962 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.962 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.962 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
7.962 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
7.962 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
7.962 * [taylor]: Taking taylor expansion of (+ x y) in x
7.963 * [taylor]: Taking taylor expansion of x in x
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 1 into 1
7.963 * [taylor]: Taking taylor expansion of y in x
7.963 * [backup-simplify]: Simplify y into y
7.963 * [taylor]: Taking taylor expansion of (- x y) in x
7.963 * [taylor]: Taking taylor expansion of x in x
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 1 into 1
7.963 * [taylor]: Taking taylor expansion of y in x
7.963 * [backup-simplify]: Simplify y into y
7.963 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.963 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.963 * [taylor]: Taking taylor expansion of x in x
7.963 * [backup-simplify]: Simplify 0 into 0
7.963 * [backup-simplify]: Simplify 1 into 1
7.963 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.963 * [taylor]: Taking taylor expansion of y in x
7.963 * [backup-simplify]: Simplify y into y
7.963 * [backup-simplify]: Simplify (+ 0 y) into y
7.963 * [backup-simplify]: Simplify (- y) into (- y)
7.963 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
7.963 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
7.963 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.963 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.964 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
7.964 * [taylor]: Taking taylor expansion of -1 in y
7.964 * [backup-simplify]: Simplify -1 into -1
7.964 * [backup-simplify]: Simplify -1 into -1
7.964 * [backup-simplify]: Simplify (- 0) into 0
7.965 * [backup-simplify]: Simplify (+ 1 0) into 1
7.965 * [backup-simplify]: Simplify (+ 1 0) into 1
7.965 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
7.965 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.966 * [backup-simplify]: Simplify (+ 0 0) into 0
7.966 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
7.966 * [taylor]: Taking taylor expansion of 0 in y
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify (- 0) into 0
7.967 * [backup-simplify]: Simplify (+ 0 0) into 0
7.967 * [backup-simplify]: Simplify (+ 0 0) into 0
7.967 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
7.968 * [backup-simplify]: Simplify (* 1 1) into 1
7.968 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.969 * [backup-simplify]: Simplify (+ 1 0) into 1
7.969 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
7.969 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
7.969 * [taylor]: Taking taylor expansion of 2 in y
7.969 * [backup-simplify]: Simplify 2 into 2
7.969 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.969 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.969 * [taylor]: Taking taylor expansion of y in y
7.969 * [backup-simplify]: Simplify 0 into 0
7.969 * [backup-simplify]: Simplify 1 into 1
7.970 * [backup-simplify]: Simplify (* 1 1) into 1
7.970 * [backup-simplify]: Simplify (/ 1 1) into 1
7.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.974 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify (- 0) into 0
7.975 * [backup-simplify]: Simplify (+ 0 0) into 0
7.975 * [backup-simplify]: Simplify (+ 0 0) into 0
7.976 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
7.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.977 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.978 * [backup-simplify]: Simplify (+ 0 0) into 0
7.979 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
7.979 * [taylor]: Taking taylor expansion of 0 in y
7.979 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify 0 into 0
7.979 * [backup-simplify]: Simplify -1 into -1
7.980 * [backup-simplify]: Simplify (/ (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.980 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
7.980 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.980 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
7.980 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
7.980 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.980 * [taylor]: Taking taylor expansion of x in y
7.980 * [backup-simplify]: Simplify x into x
7.980 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.980 * [taylor]: Taking taylor expansion of y in y
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (/ 1 1) into 1
7.980 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
7.980 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.980 * [taylor]: Taking taylor expansion of y in y
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (/ 1 1) into 1
7.981 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.981 * [taylor]: Taking taylor expansion of x in y
7.981 * [backup-simplify]: Simplify x into x
7.981 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.981 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.981 * [taylor]: Taking taylor expansion of x in y
7.981 * [backup-simplify]: Simplify x into x
7.981 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.981 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.981 * [taylor]: Taking taylor expansion of y in y
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.982 * [backup-simplify]: Simplify (* 1 1) into 1
7.982 * [backup-simplify]: Simplify (/ 1 1) into 1
7.983 * [backup-simplify]: Simplify (- 1) into -1
7.983 * [backup-simplify]: Simplify (+ 0 -1) into -1
7.983 * [backup-simplify]: Simplify (+ 1 0) into 1
7.984 * [backup-simplify]: Simplify (* -1 1) into -1
7.984 * [backup-simplify]: Simplify (+ 0 1) into 1
7.985 * [backup-simplify]: Simplify (/ -1 1) into -1
7.985 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.985 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
7.985 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
7.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.985 * [taylor]: Taking taylor expansion of x in x
7.985 * [backup-simplify]: Simplify 0 into 0
7.985 * [backup-simplify]: Simplify 1 into 1
7.985 * [backup-simplify]: Simplify (/ 1 1) into 1
7.985 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.985 * [taylor]: Taking taylor expansion of y in x
7.985 * [backup-simplify]: Simplify y into y
7.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.985 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
7.985 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.985 * [taylor]: Taking taylor expansion of y in x
7.985 * [backup-simplify]: Simplify y into y
7.985 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.985 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.986 * [taylor]: Taking taylor expansion of x in x
7.986 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify 1 into 1
7.986 * [backup-simplify]: Simplify (/ 1 1) into 1
7.986 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.986 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.986 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.986 * [taylor]: Taking taylor expansion of x in x
7.986 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify 1 into 1
7.986 * [backup-simplify]: Simplify (* 1 1) into 1
7.987 * [backup-simplify]: Simplify (/ 1 1) into 1
7.987 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.987 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.987 * [taylor]: Taking taylor expansion of y in x
7.987 * [backup-simplify]: Simplify y into y
7.987 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.987 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.987 * [backup-simplify]: Simplify (+ 1 0) into 1
7.988 * [backup-simplify]: Simplify (+ 0 1) into 1
7.988 * [backup-simplify]: Simplify (* 1 1) into 1
7.989 * [backup-simplify]: Simplify (+ 1 0) into 1
7.989 * [backup-simplify]: Simplify (/ 1 1) into 1
7.989 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.989 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
7.989 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
7.989 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.989 * [taylor]: Taking taylor expansion of x in x
7.989 * [backup-simplify]: Simplify 0 into 0
7.989 * [backup-simplify]: Simplify 1 into 1
7.990 * [backup-simplify]: Simplify (/ 1 1) into 1
7.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.990 * [taylor]: Taking taylor expansion of y in x
7.990 * [backup-simplify]: Simplify y into y
7.990 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.990 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
7.990 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.990 * [taylor]: Taking taylor expansion of y in x
7.990 * [backup-simplify]: Simplify y into y
7.990 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.990 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.990 * [taylor]: Taking taylor expansion of x in x
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.990 * [backup-simplify]: Simplify (/ 1 1) into 1
7.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.990 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.990 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.990 * [taylor]: Taking taylor expansion of x in x
7.990 * [backup-simplify]: Simplify 0 into 0
7.990 * [backup-simplify]: Simplify 1 into 1
7.991 * [backup-simplify]: Simplify (* 1 1) into 1
7.991 * [backup-simplify]: Simplify (/ 1 1) into 1
7.991 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.991 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.991 * [taylor]: Taking taylor expansion of y in x
7.991 * [backup-simplify]: Simplify y into y
7.991 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.992 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.992 * [backup-simplify]: Simplify (+ 1 0) into 1
7.992 * [backup-simplify]: Simplify (+ 0 1) into 1
7.993 * [backup-simplify]: Simplify (* 1 1) into 1
7.993 * [backup-simplify]: Simplify (+ 1 0) into 1
7.993 * [backup-simplify]: Simplify (/ 1 1) into 1
7.993 * [taylor]: Taking taylor expansion of 1 in y
7.993 * [backup-simplify]: Simplify 1 into 1
7.994 * [backup-simplify]: Simplify 1 into 1
7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.994 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
7.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.995 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
7.995 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
7.995 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
7.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.997 * [backup-simplify]: Simplify (+ 0 0) into 0
7.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
7.998 * [taylor]: Taking taylor expansion of 0 in y
7.998 * [backup-simplify]: Simplify 0 into 0
7.998 * [backup-simplify]: Simplify 0 into 0
7.998 * [backup-simplify]: Simplify 0 into 0
7.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.999 * [backup-simplify]: Simplify (+ 0 0) into 0
8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.000 * [backup-simplify]: Simplify (- 0) into 0
8.001 * [backup-simplify]: Simplify (+ 0 0) into 0
8.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
8.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.010 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
8.011 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
8.011 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
8.011 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
8.011 * [taylor]: Taking taylor expansion of 2 in y
8.011 * [backup-simplify]: Simplify 2 into 2
8.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.011 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.011 * [taylor]: Taking taylor expansion of y in y
8.011 * [backup-simplify]: Simplify 0 into 0
8.011 * [backup-simplify]: Simplify 1 into 1
8.011 * [backup-simplify]: Simplify (* 1 1) into 1
8.012 * [backup-simplify]: Simplify (/ 1 1) into 1
8.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.015 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.016 * [backup-simplify]: Simplify (- 0) into 0
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.017 * [backup-simplify]: Simplify (+ 0 0) into 0
8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.018 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.018 * [backup-simplify]: Simplify (- 0) into 0
8.019 * [backup-simplify]: Simplify (+ 0 0) into 0
8.020 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
8.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.022 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.022 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.023 * [backup-simplify]: Simplify (+ 0 0) into 0
8.024 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
8.024 * [taylor]: Taking taylor expansion of 0 in y
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify 1 into 1
8.025 * [backup-simplify]: Simplify (/ (/ (* (- (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y)))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
8.026 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
8.026 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
8.026 * [taylor]: Taking taylor expansion of -1 in y
8.026 * [backup-simplify]: Simplify -1 into -1
8.026 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
8.026 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
8.026 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
8.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.026 * [taylor]: Taking taylor expansion of y in y
8.026 * [backup-simplify]: Simplify 0 into 0
8.026 * [backup-simplify]: Simplify 1 into 1
8.026 * [backup-simplify]: Simplify (/ 1 1) into 1
8.026 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.026 * [taylor]: Taking taylor expansion of x in y
8.026 * [backup-simplify]: Simplify x into x
8.026 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.026 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
8.026 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.026 * [taylor]: Taking taylor expansion of y in y
8.026 * [backup-simplify]: Simplify 0 into 0
8.026 * [backup-simplify]: Simplify 1 into 1
8.027 * [backup-simplify]: Simplify (/ 1 1) into 1
8.027 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.027 * [taylor]: Taking taylor expansion of x in y
8.027 * [backup-simplify]: Simplify x into x
8.027 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.027 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
8.027 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.027 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.027 * [taylor]: Taking taylor expansion of x in y
8.027 * [backup-simplify]: Simplify x into x
8.027 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.027 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.027 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.027 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.027 * [taylor]: Taking taylor expansion of y in y
8.027 * [backup-simplify]: Simplify 0 into 0
8.027 * [backup-simplify]: Simplify 1 into 1
8.028 * [backup-simplify]: Simplify (* 1 1) into 1
8.028 * [backup-simplify]: Simplify (/ 1 1) into 1
8.029 * [backup-simplify]: Simplify (+ 1 0) into 1
8.029 * [backup-simplify]: Simplify (+ 1 0) into 1
8.029 * [backup-simplify]: Simplify (* 1 1) into 1
8.030 * [backup-simplify]: Simplify (+ 0 1) into 1
8.030 * [backup-simplify]: Simplify (/ 1 1) into 1
8.030 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
8.030 * [taylor]: Taking taylor expansion of -1 in x
8.030 * [backup-simplify]: Simplify -1 into -1
8.030 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
8.030 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
8.030 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
8.030 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.030 * [taylor]: Taking taylor expansion of y in x
8.030 * [backup-simplify]: Simplify y into y
8.031 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.031 * [taylor]: Taking taylor expansion of x in x
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.031 * [backup-simplify]: Simplify (/ 1 1) into 1
8.031 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
8.031 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.031 * [taylor]: Taking taylor expansion of y in x
8.031 * [backup-simplify]: Simplify y into y
8.031 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.031 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.031 * [taylor]: Taking taylor expansion of x in x
8.031 * [backup-simplify]: Simplify 0 into 0
8.031 * [backup-simplify]: Simplify 1 into 1
8.032 * [backup-simplify]: Simplify (/ 1 1) into 1
8.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
8.032 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.032 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.032 * [taylor]: Taking taylor expansion of x in x
8.032 * [backup-simplify]: Simplify 0 into 0
8.032 * [backup-simplify]: Simplify 1 into 1
8.032 * [backup-simplify]: Simplify (* 1 1) into 1
8.033 * [backup-simplify]: Simplify (/ 1 1) into 1
8.033 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.033 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.033 * [taylor]: Taking taylor expansion of y in x
8.033 * [backup-simplify]: Simplify y into y
8.033 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.033 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.034 * [backup-simplify]: Simplify (+ 0 1) into 1
8.034 * [backup-simplify]: Simplify (- 1) into -1
8.034 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.035 * [backup-simplify]: Simplify (* 1 -1) into -1
8.035 * [backup-simplify]: Simplify (+ 1 0) into 1
8.036 * [backup-simplify]: Simplify (/ -1 1) into -1
8.036 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
8.036 * [taylor]: Taking taylor expansion of -1 in x
8.036 * [backup-simplify]: Simplify -1 into -1
8.036 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
8.036 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
8.036 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
8.036 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.036 * [taylor]: Taking taylor expansion of y in x
8.036 * [backup-simplify]: Simplify y into y
8.036 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.036 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.036 * [taylor]: Taking taylor expansion of x in x
8.036 * [backup-simplify]: Simplify 0 into 0
8.036 * [backup-simplify]: Simplify 1 into 1
8.037 * [backup-simplify]: Simplify (/ 1 1) into 1
8.037 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
8.037 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.037 * [taylor]: Taking taylor expansion of y in x
8.037 * [backup-simplify]: Simplify y into y
8.037 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.037 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.037 * [taylor]: Taking taylor expansion of x in x
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify 1 into 1
8.037 * [backup-simplify]: Simplify (/ 1 1) into 1
8.037 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
8.037 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.037 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.037 * [taylor]: Taking taylor expansion of x in x
8.037 * [backup-simplify]: Simplify 0 into 0
8.037 * [backup-simplify]: Simplify 1 into 1
8.038 * [backup-simplify]: Simplify (* 1 1) into 1
8.038 * [backup-simplify]: Simplify (/ 1 1) into 1
8.038 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.038 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.038 * [taylor]: Taking taylor expansion of y in x
8.038 * [backup-simplify]: Simplify y into y
8.038 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.038 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.038 * [backup-simplify]: Simplify (+ 0 1) into 1
8.039 * [backup-simplify]: Simplify (- 1) into -1
8.039 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.039 * [backup-simplify]: Simplify (* 1 -1) into -1
8.039 * [backup-simplify]: Simplify (+ 1 0) into 1
8.040 * [backup-simplify]: Simplify (/ -1 1) into -1
8.040 * [backup-simplify]: Simplify (* -1 -1) into 1
8.040 * [taylor]: Taking taylor expansion of 1 in y
8.040 * [backup-simplify]: Simplify 1 into 1
8.040 * [backup-simplify]: Simplify 1 into 1
8.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.041 * [backup-simplify]: Simplify (- 0) into 0
8.041 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
8.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.041 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
8.041 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
8.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.042 * [backup-simplify]: Simplify (+ 0 0) into 0
8.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
8.043 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
8.043 * [taylor]: Taking taylor expansion of 0 in y
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.044 * [backup-simplify]: Simplify (- 0) into 0
8.044 * [backup-simplify]: Simplify (+ 0 0) into 0
8.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.045 * [backup-simplify]: Simplify (+ 0 0) into 0
8.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
8.046 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.047 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
8.048 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
8.048 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
8.048 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
8.048 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
8.048 * [taylor]: Taking taylor expansion of 2 in y
8.048 * [backup-simplify]: Simplify 2 into 2
8.048 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.048 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.048 * [taylor]: Taking taylor expansion of y in y
8.048 * [backup-simplify]: Simplify 0 into 0
8.048 * [backup-simplify]: Simplify 1 into 1
8.048 * [backup-simplify]: Simplify (* 1 1) into 1
8.049 * [backup-simplify]: Simplify (/ 1 1) into 1
8.049 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.051 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.051 * [backup-simplify]: Simplify (- 0) into 0
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify 0 into 0
8.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.052 * [backup-simplify]: Simplify (- 0) into 0
8.052 * [backup-simplify]: Simplify (+ 0 0) into 0
8.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
8.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.053 * [backup-simplify]: Simplify (+ 0 0) into 0
8.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
8.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.055 * [backup-simplify]: Simplify (+ 0 0) into 0
8.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
8.057 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
8.057 * [taylor]: Taking taylor expansion of 0 in y
8.057 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify 0 into 0
8.057 * [backup-simplify]: Simplify 1 into 1
8.057 * * * [progress]: simplifying candidates
8.061 * [simplify]: Simplifying:
  (- (+ (log (- x y)) (log (+ x y))) (log (sqrt (+ (* x x) (* y y)))))
  (- (log (* (- x y) (+ x y))) (log (sqrt (+ (* x x) (* y y)))))
  (log (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))))
  (exp (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))))
  (/ (* (* (* (- x y) (- x y)) (- x y)) (* (* (+ x y) (+ x y)) (+ x y))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (/ (* (* (* (- x y) (+ x y)) (* (- x y) (+ x y))) (* (- x y) (+ x y))) (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (* (cbrt (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))) (cbrt (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))))
  (cbrt (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))))
  (* (* (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))) (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))))
  (sqrt (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))))
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  (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* -1 y)
  x
  (* -1 x)
  y
  x
  (* -1 x)
  y
  x
  (* -1 x)
  -1
  1
  1
8.073 * * [simplify]: Extracting # 0 : cost  0
8.073 * * [simplify]: Extracting # 1 : cost  0
8.074 * * [simplify]: Extracting # 2 : cost  0
8.074 * * [simplify]: Extracting # 3 : cost  0
8.074 * * [simplify]: Extracting # 4 : cost  0
8.074 * * [simplify]: Extracting # 5 : cost  0
8.075 * * [simplify]: Extracting # 6 : cost  0
8.075 * * [simplify]: Extracting # 7 : cost  0
8.075 * * [simplify]: Extracting # 8 : cost  0
8.076 * * [simplify]: iteration  0 :  222  enodes  (cost  6005 )
8.137 * * [simplify]: Extracting # 0 : cost  0
8.138 * * [simplify]: Extracting # 1 : cost  0
8.139 * * [simplify]: Extracting # 2 : cost  0
8.139 * * [simplify]: Extracting # 3 : cost  0
8.140 * * [simplify]: Extracting # 4 : cost  0
8.141 * * [simplify]: Extracting # 5 : cost  0
8.142 * * [simplify]: iteration  1 :  607  enodes  (cost  5306 )
8.540 * * [simplify]: Extracting # 0 : cost  0
8.545 * * [simplify]: Extracting # 1 : cost  0
8.548 * * [simplify]: Extracting # 2 : cost  0
8.551 * * [simplify]: Extracting # 3 : cost  0
8.559 * * [simplify]: Extracting # 4 : cost  0
8.562 * * [simplify]: Extracting # 5 : cost  0
8.565 * * [simplify]: iteration  2 :  2261  enodes  (cost  4817 )
9.290 * * [simplify]: Extracting # 0 : cost  0
9.309 * * [simplify]: Extracting # 1 : cost  0
9.323 * * [simplify]: Extracting # 2 : cost  0
9.336 * * [simplify]: Extracting # 3 : cost  0
9.349 * * [simplify]: iteration done:  5001  enodes  (cost  4687 )
9.352 * [simplify]: Simplified to:
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  1
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  (/ (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (pow x 3) x))) (sqrt (+ (* x x) (* y y))))
  (/ (/ (* (- x y) (+ x y)) (sqrt (sqrt (+ (* x x) (* y y))))) (sqrt (+ (pow y 6) (pow x 6))))
  (/ (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (pow x 3) x))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (/ (* (+ x y) (- x y)) (sqrt (+ (pow y 6) (pow x 6))))
  (/ (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (pow x 3) x))) (sqrt (+ (* x x) (* y y))))
  (/ (/ (* (- x y) (+ x y)) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))) (sqrt (- (* (pow x 3) x) (* y (pow y 3)))))
  (/ (sqrt (- (* x x) (* y y))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (/ (+ x y) (/ (* (sqrt (- (* (pow x 3) x) (* y (pow y 3)))) (fabs (cbrt (+ (* x x) (* y y))))) (- x y)))
  (/ (sqrt (- (* x x) (* y y))) (sqrt (cbrt (+ (* x x) (* y y)))))
  (* (/ (+ x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (- (* (pow x 3) x) (* y (pow y 3))))))
  (/ (sqrt (- (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (/ (* (+ x y) (- x y)) (sqrt (- (* (pow x 3) x) (* y (pow y 3)))))
  (/ (sqrt (- (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (* (/ (+ x y) (sqrt (sqrt (+ (* x x) (* y y))))) (/ (- x y) (sqrt (- (* (pow x 3) x) (* y (pow y 3))))))
  (/ (sqrt (- (* x x) (* y y))) (sqrt (sqrt (+ (* x x) (* y y)))))
  (/ (* (+ x y) (- x y)) (sqrt (- (* (pow x 3) x) (* y (pow y 3)))))
  (/ (sqrt (- (* x x) (* y y))) (sqrt (+ (* x x) (* y y))))
  (/ 1 (sqrt (+ (* x x) (* y y))))
  (/ (+ (* y y) (* x x)) (* (+ x y) (- x y)))
  (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y))))))
  (/ (* (+ x y) (- x y)) (* (fabs (cbrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))
  (/ (- x y) (/ (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ x y)))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) (/ (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ x y)))
  (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))
  (/ (sqrt (+ (* x x) (* y y))) (cbrt (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y))))))
  (/ (sqrt (+ (* x x) (* y y))) (/ (+ x y) (cbrt (sqrt (+ (* x x) (* y y))))))
  (/ (sqrt (+ (* x x) (* y y))) (/ (+ x y) (sqrt (cbrt (+ (* x x) (* y y))))))
  (/ (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ x y))
  (/ (+ (* y y) (* x x)) (+ x y))
  (/ (pow (sqrt (sqrt (+ (* x x) (* y y)))) 3) (+ x y))
  (/ (+ (* y y) (* x x)) (+ x y))
  (/ (+ (* y y) (* x x)) (* (+ x y) (- x y)))
  (+ (* y y) (* x x))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (+ (* (* y y) (- (* y y) (* x x))) (* (pow x 3) x))))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (- (* x x) (* y y))))
  (/ (- x y) (* (sqrt (+ (pow y 6) (pow x 6))) (/ (sqrt (+ (* x x) (* y y))) (+ x y))))
  (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (- (* (pow x 3) x) (* y (pow y 3)))))
  (+ (* y y) (* x x))
  (- y)
  x
  (- x)
  y
  x
  (- x)
  y
  x
  (- x)
  -1
  1
  1
9.355 * * * [progress]: adding candidates to table
9.987 * * [progress]: iteration 4 / 4
9.987 * * * [progress]: picking best candidate
9.994 * * * * [pick]: Picked  #<alt (λ (x y) (/ 1 (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))))>
9.994 * * * [progress]: localizing error
10.028 * * * [progress]: generating rewritten candidates
10.028 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
10.143 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
10.206 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
10.396 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
10.592 * * * [progress]: generating series expansions
10.592 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
10.593 * [backup-simplify]: Simplify (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) into (/ (+ (pow x 2) (pow y 2)) (* (pow (+ x y) 2) (- x y)))
10.593 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (pow (+ x y) 2) (- x y))) in (x y) around 0
10.593 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (pow (+ x y) 2) (- x y))) in y
10.593 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
10.593 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.593 * [taylor]: Taking taylor expansion of x in y
10.593 * [backup-simplify]: Simplify x into x
10.593 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.593 * [taylor]: Taking taylor expansion of y in y
10.593 * [backup-simplify]: Simplify 0 into 0
10.593 * [backup-simplify]: Simplify 1 into 1
10.593 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in y
10.593 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in y
10.593 * [taylor]: Taking taylor expansion of (+ x y) in y
10.593 * [taylor]: Taking taylor expansion of x in y
10.593 * [backup-simplify]: Simplify x into x
10.593 * [taylor]: Taking taylor expansion of y in y
10.593 * [backup-simplify]: Simplify 0 into 0
10.593 * [backup-simplify]: Simplify 1 into 1
10.593 * [backup-simplify]: Simplify (+ x 0) into x
10.593 * [taylor]: Taking taylor expansion of (- x y) in y
10.593 * [taylor]: Taking taylor expansion of x in y
10.593 * [backup-simplify]: Simplify x into x
10.593 * [taylor]: Taking taylor expansion of y in y
10.593 * [backup-simplify]: Simplify 0 into 0
10.593 * [backup-simplify]: Simplify 1 into 1
10.593 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.593 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
10.593 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.594 * [backup-simplify]: Simplify (- 0) into 0
10.594 * [backup-simplify]: Simplify (+ x 0) into x
10.594 * [backup-simplify]: Simplify (* (pow x 2) x) into (pow x 3)
10.594 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 3)) into (/ 1 x)
10.594 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (pow (+ x y) 2) (- x y))) in x
10.594 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
10.594 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.594 * [taylor]: Taking taylor expansion of x in x
10.594 * [backup-simplify]: Simplify 0 into 0
10.594 * [backup-simplify]: Simplify 1 into 1
10.594 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.594 * [taylor]: Taking taylor expansion of y in x
10.594 * [backup-simplify]: Simplify y into y
10.594 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in x
10.594 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x
10.594 * [taylor]: Taking taylor expansion of (+ x y) in x
10.594 * [taylor]: Taking taylor expansion of x in x
10.594 * [backup-simplify]: Simplify 0 into 0
10.594 * [backup-simplify]: Simplify 1 into 1
10.594 * [taylor]: Taking taylor expansion of y in x
10.594 * [backup-simplify]: Simplify y into y
10.595 * [backup-simplify]: Simplify (+ 0 y) into y
10.595 * [taylor]: Taking taylor expansion of (- x y) in x
10.595 * [taylor]: Taking taylor expansion of x in x
10.595 * [backup-simplify]: Simplify 0 into 0
10.595 * [backup-simplify]: Simplify 1 into 1
10.595 * [taylor]: Taking taylor expansion of y in x
10.595 * [backup-simplify]: Simplify y into y
10.595 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.595 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
10.595 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.595 * [backup-simplify]: Simplify (- y) into (- y)
10.595 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
10.595 * [backup-simplify]: Simplify (* (pow y 2) (- y)) into (* -1 (pow y 3))
10.595 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 3))) into (/ -1 y)
10.595 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (pow (+ x y) 2) (- x y))) in x
10.595 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
10.595 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.595 * [taylor]: Taking taylor expansion of x in x
10.595 * [backup-simplify]: Simplify 0 into 0
10.595 * [backup-simplify]: Simplify 1 into 1
10.595 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.595 * [taylor]: Taking taylor expansion of y in x
10.595 * [backup-simplify]: Simplify y into y
10.595 * [taylor]: Taking taylor expansion of (* (pow (+ x y) 2) (- x y)) in x
10.595 * [taylor]: Taking taylor expansion of (pow (+ x y) 2) in x
10.595 * [taylor]: Taking taylor expansion of (+ x y) in x
10.595 * [taylor]: Taking taylor expansion of x in x
10.595 * [backup-simplify]: Simplify 0 into 0
10.595 * [backup-simplify]: Simplify 1 into 1
10.595 * [taylor]: Taking taylor expansion of y in x
10.595 * [backup-simplify]: Simplify y into y
10.595 * [backup-simplify]: Simplify (+ 0 y) into y
10.595 * [taylor]: Taking taylor expansion of (- x y) in x
10.595 * [taylor]: Taking taylor expansion of x in x
10.595 * [backup-simplify]: Simplify 0 into 0
10.595 * [backup-simplify]: Simplify 1 into 1
10.595 * [taylor]: Taking taylor expansion of y in x
10.596 * [backup-simplify]: Simplify y into y
10.596 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.596 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
10.596 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.596 * [backup-simplify]: Simplify (- y) into (- y)
10.596 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
10.596 * [backup-simplify]: Simplify (* (pow y 2) (- y)) into (* -1 (pow y 3))
10.596 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 3))) into (/ -1 y)
10.596 * [taylor]: Taking taylor expansion of (/ -1 y) in y
10.596 * [taylor]: Taking taylor expansion of -1 in y
10.596 * [backup-simplify]: Simplify -1 into -1
10.596 * [taylor]: Taking taylor expansion of y in y
10.596 * [backup-simplify]: Simplify 0 into 0
10.596 * [backup-simplify]: Simplify 1 into 1
10.596 * [backup-simplify]: Simplify (/ -1 1) into -1
10.597 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.597 * [backup-simplify]: Simplify 0 into 0
10.597 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.597 * [backup-simplify]: Simplify (+ 0 0) into 0
10.598 * [backup-simplify]: Simplify (- 0) into 0
10.598 * [backup-simplify]: Simplify (+ 1 0) into 1
10.598 * [backup-simplify]: Simplify (+ 1 0) into 1
10.598 * [backup-simplify]: Simplify (+ (* y 1) (* 1 y)) into (* 2 y)
10.598 * [backup-simplify]: Simplify (+ (* (pow y 2) 1) (* (* 2 y) (- y))) into (- (pow y 2))
10.599 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 3))) (+ (* (/ -1 y) (/ (- (pow y 2)) (* -1 (pow y 3)))))) into (/ 1 (pow y 2))
10.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.599 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.599 * [taylor]: Taking taylor expansion of y in y
10.599 * [backup-simplify]: Simplify 0 into 0
10.599 * [backup-simplify]: Simplify 1 into 1
10.599 * [backup-simplify]: Simplify (* 1 1) into 1
10.599 * [backup-simplify]: Simplify (/ 1 1) into 1
10.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.601 * [backup-simplify]: Simplify 0 into 0
10.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.602 * [backup-simplify]: Simplify 0 into 0
10.602 * [backup-simplify]: Simplify (* 1 1) into 1
10.602 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
10.602 * [backup-simplify]: Simplify (+ 1 0) into 1
10.603 * [backup-simplify]: Simplify (- 0) into 0
10.603 * [backup-simplify]: Simplify (+ 0 0) into 0
10.603 * [backup-simplify]: Simplify (+ 0 0) into 0
10.603 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 y))) into 1
10.604 * [backup-simplify]: Simplify (+ (* (pow y 2) 0) (+ (* (* 2 y) 1) (* 1 (- y)))) into y
10.604 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 3))) (+ (* (/ -1 y) (/ y (* -1 (pow y 3)))) (* (/ 1 (pow y 2)) (/ (- (pow y 2)) (* -1 (pow y 3)))))) into (- (* 3 (/ 1 (pow y 3))))
10.604 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 3)))) in y
10.604 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 3))) in y
10.604 * [taylor]: Taking taylor expansion of 3 in y
10.604 * [backup-simplify]: Simplify 3 into 3
10.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
10.604 * [taylor]: Taking taylor expansion of (pow y 3) in y
10.604 * [taylor]: Taking taylor expansion of y in y
10.604 * [backup-simplify]: Simplify 0 into 0
10.604 * [backup-simplify]: Simplify 1 into 1
10.605 * [backup-simplify]: Simplify (* 1 1) into 1
10.605 * [backup-simplify]: Simplify (* 1 1) into 1
10.606 * [backup-simplify]: Simplify (/ 1 1) into 1
10.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.611 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.611 * [backup-simplify]: Simplify (- 0) into 0
10.611 * [backup-simplify]: Simplify 0 into 0
10.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.612 * [backup-simplify]: Simplify 0 into 0
10.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.612 * [backup-simplify]: Simplify 0 into 0
10.612 * [backup-simplify]: Simplify 0 into 0
10.617 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y))) (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 y) (/ 1 x)) 2)))
10.617 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 y) (/ 1 x)) 2))) in (x y) around 0
10.617 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 y) (/ 1 x)) 2))) in y
10.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
10.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
10.617 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.617 * [taylor]: Taking taylor expansion of x in y
10.617 * [backup-simplify]: Simplify x into x
10.618 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.618 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.618 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.618 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.618 * [taylor]: Taking taylor expansion of y in y
10.618 * [backup-simplify]: Simplify 0 into 0
10.618 * [backup-simplify]: Simplify 1 into 1
10.619 * [backup-simplify]: Simplify (* 1 1) into 1
10.619 * [backup-simplify]: Simplify (/ 1 1) into 1
10.619 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 y) (/ 1 x)) 2)) in y
10.619 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
10.619 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.619 * [taylor]: Taking taylor expansion of x in y
10.619 * [backup-simplify]: Simplify x into x
10.619 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.619 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.619 * [taylor]: Taking taylor expansion of y in y
10.619 * [backup-simplify]: Simplify 0 into 0
10.619 * [backup-simplify]: Simplify 1 into 1
10.620 * [backup-simplify]: Simplify (/ 1 1) into 1
10.620 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y
10.620 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
10.620 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.620 * [taylor]: Taking taylor expansion of y in y
10.620 * [backup-simplify]: Simplify 0 into 0
10.620 * [backup-simplify]: Simplify 1 into 1
10.620 * [backup-simplify]: Simplify (/ 1 1) into 1
10.620 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.620 * [taylor]: Taking taylor expansion of x in y
10.620 * [backup-simplify]: Simplify x into x
10.620 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.621 * [backup-simplify]: Simplify (+ 1 0) into 1
10.621 * [backup-simplify]: Simplify (+ 0 1) into 1
10.622 * [backup-simplify]: Simplify (- 1) into -1
10.622 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.623 * [backup-simplify]: Simplify (* 1 1) into 1
10.623 * [backup-simplify]: Simplify (* -1 1) into -1
10.623 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.623 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x
10.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.624 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.624 * [taylor]: Taking taylor expansion of x in x
10.624 * [backup-simplify]: Simplify 0 into 0
10.624 * [backup-simplify]: Simplify 1 into 1
10.624 * [backup-simplify]: Simplify (* 1 1) into 1
10.624 * [backup-simplify]: Simplify (/ 1 1) into 1
10.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.624 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.624 * [taylor]: Taking taylor expansion of y in x
10.624 * [backup-simplify]: Simplify y into y
10.625 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.625 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x
10.625 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
10.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.625 * [taylor]: Taking taylor expansion of x in x
10.625 * [backup-simplify]: Simplify 0 into 0
10.625 * [backup-simplify]: Simplify 1 into 1
10.625 * [backup-simplify]: Simplify (/ 1 1) into 1
10.625 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.625 * [taylor]: Taking taylor expansion of y in x
10.625 * [backup-simplify]: Simplify y into y
10.625 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.626 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x
10.626 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.626 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.626 * [taylor]: Taking taylor expansion of y in x
10.626 * [backup-simplify]: Simplify y into y
10.626 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.626 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.626 * [taylor]: Taking taylor expansion of x in x
10.626 * [backup-simplify]: Simplify 0 into 0
10.626 * [backup-simplify]: Simplify 1 into 1
10.626 * [backup-simplify]: Simplify (/ 1 1) into 1
10.627 * [backup-simplify]: Simplify (+ 0 1) into 1
10.627 * [backup-simplify]: Simplify (+ 1 0) into 1
10.628 * [backup-simplify]: Simplify (+ 1 0) into 1
10.628 * [backup-simplify]: Simplify (* 1 1) into 1
10.628 * [backup-simplify]: Simplify (* 1 1) into 1
10.629 * [backup-simplify]: Simplify (/ 1 1) into 1
10.629 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 y) (/ 1 x)) 2))) in x
10.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.629 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.629 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.629 * [taylor]: Taking taylor expansion of x in x
10.629 * [backup-simplify]: Simplify 0 into 0
10.629 * [backup-simplify]: Simplify 1 into 1
10.629 * [backup-simplify]: Simplify (* 1 1) into 1
10.630 * [backup-simplify]: Simplify (/ 1 1) into 1
10.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.630 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.630 * [taylor]: Taking taylor expansion of y in x
10.630 * [backup-simplify]: Simplify y into y
10.630 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.630 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.630 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (pow (+ (/ 1 y) (/ 1 x)) 2)) in x
10.630 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
10.630 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.630 * [taylor]: Taking taylor expansion of x in x
10.630 * [backup-simplify]: Simplify 0 into 0
10.630 * [backup-simplify]: Simplify 1 into 1
10.631 * [backup-simplify]: Simplify (/ 1 1) into 1
10.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.631 * [taylor]: Taking taylor expansion of y in x
10.631 * [backup-simplify]: Simplify y into y
10.631 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.631 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x
10.631 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.631 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.631 * [taylor]: Taking taylor expansion of y in x
10.631 * [backup-simplify]: Simplify y into y
10.631 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.631 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.631 * [taylor]: Taking taylor expansion of x in x
10.631 * [backup-simplify]: Simplify 0 into 0
10.631 * [backup-simplify]: Simplify 1 into 1
10.632 * [backup-simplify]: Simplify (/ 1 1) into 1
10.632 * [backup-simplify]: Simplify (+ 0 1) into 1
10.633 * [backup-simplify]: Simplify (+ 1 0) into 1
10.633 * [backup-simplify]: Simplify (+ 1 0) into 1
10.633 * [backup-simplify]: Simplify (* 1 1) into 1
10.634 * [backup-simplify]: Simplify (* 1 1) into 1
10.634 * [backup-simplify]: Simplify (/ 1 1) into 1
10.634 * [taylor]: Taking taylor expansion of 1 in y
10.634 * [backup-simplify]: Simplify 1 into 1
10.634 * [backup-simplify]: Simplify 0 into 0
10.635 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.636 * [backup-simplify]: Simplify (+ 0 0) into 0
10.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.637 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.637 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y))
10.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.638 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
10.638 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
10.638 * [backup-simplify]: Simplify (+ (* 1 (* 2 (/ 1 y))) (* (- (/ 1 y)) 1)) into (/ 1 y)
10.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (/ 1 y) 1)))) into (- (/ 1 y))
10.639 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
10.639 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.639 * [taylor]: Taking taylor expansion of y in y
10.639 * [backup-simplify]: Simplify 0 into 0
10.639 * [backup-simplify]: Simplify 1 into 1
10.639 * [backup-simplify]: Simplify (/ 1 1) into 1
10.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.641 * [backup-simplify]: Simplify (- 0) into 0
10.641 * [backup-simplify]: Simplify 0 into 0
10.641 * [backup-simplify]: Simplify 0 into 0
10.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.643 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
10.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.645 * [backup-simplify]: Simplify (+ 0 0) into 0
10.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
10.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.647 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.647 * [backup-simplify]: Simplify (- 0) into 0
10.648 * [backup-simplify]: Simplify (+ 0 0) into 0
10.649 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* (- (/ 1 y)) (* 2 (/ 1 y))) (* 0 1))) into (- (/ 1 (pow y 2)))
10.649 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* (- (/ 1 y)) (/ (/ 1 y) 1)))) into (* 3 (/ 1 (pow y 2)))
10.649 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
10.649 * [taylor]: Taking taylor expansion of 3 in y
10.649 * [backup-simplify]: Simplify 3 into 3
10.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.649 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.650 * [taylor]: Taking taylor expansion of y in y
10.650 * [backup-simplify]: Simplify 0 into 0
10.650 * [backup-simplify]: Simplify 1 into 1
10.650 * [backup-simplify]: Simplify (* 1 1) into 1
10.650 * [backup-simplify]: Simplify (/ 1 1) into 1
10.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.654 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.654 * [backup-simplify]: Simplify 0 into 0
10.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.655 * [backup-simplify]: Simplify (- 0) into 0
10.655 * [backup-simplify]: Simplify 0 into 0
10.655 * [backup-simplify]: Simplify 0 into 0
10.655 * [backup-simplify]: Simplify 0 into 0
10.656 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y)))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (pow (+ (/ 1 y) (/ 1 x)) 2) (- (/ 1 y) (/ 1 x))))
10.656 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (pow (+ (/ 1 y) (/ 1 x)) 2) (- (/ 1 y) (/ 1 x)))) in (x y) around 0
10.656 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (pow (+ (/ 1 y) (/ 1 x)) 2) (- (/ 1 y) (/ 1 x)))) in y
10.656 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
10.656 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
10.656 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.656 * [taylor]: Taking taylor expansion of x in y
10.656 * [backup-simplify]: Simplify x into x
10.656 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.656 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.656 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.656 * [taylor]: Taking taylor expansion of y in y
10.656 * [backup-simplify]: Simplify 0 into 0
10.656 * [backup-simplify]: Simplify 1 into 1
10.657 * [backup-simplify]: Simplify (* 1 1) into 1
10.657 * [backup-simplify]: Simplify (/ 1 1) into 1
10.657 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (- (/ 1 y) (/ 1 x))) in y
10.657 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in y
10.657 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
10.657 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.657 * [taylor]: Taking taylor expansion of y in y
10.657 * [backup-simplify]: Simplify 0 into 0
10.657 * [backup-simplify]: Simplify 1 into 1
10.657 * [backup-simplify]: Simplify (/ 1 1) into 1
10.657 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.657 * [taylor]: Taking taylor expansion of x in y
10.657 * [backup-simplify]: Simplify x into x
10.657 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.658 * [backup-simplify]: Simplify (+ 1 0) into 1
10.658 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
10.658 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.658 * [taylor]: Taking taylor expansion of y in y
10.658 * [backup-simplify]: Simplify 0 into 0
10.658 * [backup-simplify]: Simplify 1 into 1
10.658 * [backup-simplify]: Simplify (/ 1 1) into 1
10.658 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.658 * [taylor]: Taking taylor expansion of x in y
10.658 * [backup-simplify]: Simplify x into x
10.658 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.658 * [backup-simplify]: Simplify (+ 0 1) into 1
10.658 * [backup-simplify]: Simplify (* 1 1) into 1
10.659 * [backup-simplify]: Simplify (+ 1 0) into 1
10.659 * [backup-simplify]: Simplify (* 1 1) into 1
10.659 * [backup-simplify]: Simplify (/ 1 1) into 1
10.659 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (pow (+ (/ 1 y) (/ 1 x)) 2) (- (/ 1 y) (/ 1 x)))) in x
10.659 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.659 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.659 * [taylor]: Taking taylor expansion of x in x
10.659 * [backup-simplify]: Simplify 0 into 0
10.659 * [backup-simplify]: Simplify 1 into 1
10.660 * [backup-simplify]: Simplify (* 1 1) into 1
10.660 * [backup-simplify]: Simplify (/ 1 1) into 1
10.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.660 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.660 * [taylor]: Taking taylor expansion of y in x
10.660 * [backup-simplify]: Simplify y into y
10.660 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.660 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (- (/ 1 y) (/ 1 x))) in x
10.660 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x
10.660 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.660 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.660 * [taylor]: Taking taylor expansion of y in x
10.660 * [backup-simplify]: Simplify y into y
10.660 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.660 * [taylor]: Taking taylor expansion of x in x
10.660 * [backup-simplify]: Simplify 0 into 0
10.660 * [backup-simplify]: Simplify 1 into 1
10.660 * [backup-simplify]: Simplify (/ 1 1) into 1
10.661 * [backup-simplify]: Simplify (+ 0 1) into 1
10.661 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
10.661 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.661 * [taylor]: Taking taylor expansion of y in x
10.661 * [backup-simplify]: Simplify y into y
10.661 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.661 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.661 * [taylor]: Taking taylor expansion of x in x
10.661 * [backup-simplify]: Simplify 0 into 0
10.661 * [backup-simplify]: Simplify 1 into 1
10.661 * [backup-simplify]: Simplify (/ 1 1) into 1
10.661 * [backup-simplify]: Simplify (+ 1 0) into 1
10.662 * [backup-simplify]: Simplify (* 1 1) into 1
10.662 * [backup-simplify]: Simplify (- 1) into -1
10.662 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.662 * [backup-simplify]: Simplify (* 1 -1) into -1
10.663 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.663 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (pow (+ (/ 1 y) (/ 1 x)) 2) (- (/ 1 y) (/ 1 x)))) in x
10.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.663 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.663 * [taylor]: Taking taylor expansion of x in x
10.663 * [backup-simplify]: Simplify 0 into 0
10.663 * [backup-simplify]: Simplify 1 into 1
10.663 * [backup-simplify]: Simplify (* 1 1) into 1
10.663 * [backup-simplify]: Simplify (/ 1 1) into 1
10.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.663 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.663 * [taylor]: Taking taylor expansion of y in x
10.663 * [backup-simplify]: Simplify y into y
10.663 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.663 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 y) (/ 1 x)) 2) (- (/ 1 y) (/ 1 x))) in x
10.663 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 y) (/ 1 x)) 2) in x
10.663 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.663 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.663 * [taylor]: Taking taylor expansion of y in x
10.663 * [backup-simplify]: Simplify y into y
10.663 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.664 * [taylor]: Taking taylor expansion of x in x
10.664 * [backup-simplify]: Simplify 0 into 0
10.664 * [backup-simplify]: Simplify 1 into 1
10.664 * [backup-simplify]: Simplify (/ 1 1) into 1
10.664 * [backup-simplify]: Simplify (+ 0 1) into 1
10.664 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
10.664 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.664 * [taylor]: Taking taylor expansion of y in x
10.664 * [backup-simplify]: Simplify y into y
10.664 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.664 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.664 * [taylor]: Taking taylor expansion of x in x
10.664 * [backup-simplify]: Simplify 0 into 0
10.664 * [backup-simplify]: Simplify 1 into 1
10.664 * [backup-simplify]: Simplify (/ 1 1) into 1
10.665 * [backup-simplify]: Simplify (+ 1 0) into 1
10.665 * [backup-simplify]: Simplify (* 1 1) into 1
10.665 * [backup-simplify]: Simplify (- 1) into -1
10.665 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.666 * [backup-simplify]: Simplify (* 1 -1) into -1
10.666 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.666 * [taylor]: Taking taylor expansion of -1 in y
10.666 * [backup-simplify]: Simplify -1 into -1
10.666 * [backup-simplify]: Simplify 0 into 0
10.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.667 * [backup-simplify]: Simplify (+ 0 0) into 0
10.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.668 * [backup-simplify]: Simplify (- 0) into 0
10.668 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.668 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.668 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) 1)) into (* 2 (/ 1 y))
10.668 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (* 2 (/ 1 y)) -1)) into (- (/ 1 y))
10.669 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- (/ 1 y)) -1)))) into (/ 1 y)
10.669 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.669 * [taylor]: Taking taylor expansion of y in y
10.669 * [backup-simplify]: Simplify 0 into 0
10.669 * [backup-simplify]: Simplify 1 into 1
10.669 * [backup-simplify]: Simplify (/ 1 1) into 1
10.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.670 * [backup-simplify]: Simplify 0 into 0
10.670 * [backup-simplify]: Simplify 0 into 0
10.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.671 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
10.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.672 * [backup-simplify]: Simplify (- 0) into 0
10.672 * [backup-simplify]: Simplify (+ 0 0) into 0
10.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.673 * [backup-simplify]: Simplify (+ 0 0) into 0
10.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 1))) into (/ 1 (pow y 2))
10.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (* 2 (/ 1 y)) (/ 1 y)) (* (/ 1 (pow y 2)) -1))) into (/ 1 (pow y 2))
10.674 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* (/ 1 y) (/ (- (/ 1 y)) -1)))) into (- (* 3 (/ 1 (pow y 2))))
10.674 * [taylor]: Taking taylor expansion of (- (* 3 (/ 1 (pow y 2)))) in y
10.674 * [taylor]: Taking taylor expansion of (* 3 (/ 1 (pow y 2))) in y
10.674 * [taylor]: Taking taylor expansion of 3 in y
10.674 * [backup-simplify]: Simplify 3 into 3
10.674 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.674 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.674 * [taylor]: Taking taylor expansion of y in y
10.674 * [backup-simplify]: Simplify 0 into 0
10.675 * [backup-simplify]: Simplify 1 into 1
10.675 * [backup-simplify]: Simplify (* 1 1) into 1
10.675 * [backup-simplify]: Simplify (/ 1 1) into 1
10.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.678 * [backup-simplify]: Simplify (+ (* 3 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.679 * [backup-simplify]: Simplify (- 0) into 0
10.679 * [backup-simplify]: Simplify 0 into 0
10.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.679 * [backup-simplify]: Simplify 0 into 0
10.679 * [backup-simplify]: Simplify 0 into 0
10.679 * [backup-simplify]: Simplify 0 into 0
10.679 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
10.679 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (- x y)) into (/ (+ (pow x 2) (pow y 2)) (- x y))
10.679 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in (x y) around 0
10.679 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in y
10.680 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
10.680 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.680 * [taylor]: Taking taylor expansion of x in y
10.680 * [backup-simplify]: Simplify x into x
10.680 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.680 * [taylor]: Taking taylor expansion of y in y
10.680 * [backup-simplify]: Simplify 0 into 0
10.680 * [backup-simplify]: Simplify 1 into 1
10.680 * [taylor]: Taking taylor expansion of (- x y) in y
10.680 * [taylor]: Taking taylor expansion of x in y
10.680 * [backup-simplify]: Simplify x into x
10.680 * [taylor]: Taking taylor expansion of y in y
10.680 * [backup-simplify]: Simplify 0 into 0
10.680 * [backup-simplify]: Simplify 1 into 1
10.680 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.680 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
10.680 * [backup-simplify]: Simplify (- 0) into 0
10.680 * [backup-simplify]: Simplify (+ x 0) into x
10.680 * [backup-simplify]: Simplify (/ (pow x 2) x) into x
10.680 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x
10.680 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
10.680 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.680 * [taylor]: Taking taylor expansion of x in x
10.680 * [backup-simplify]: Simplify 0 into 0
10.680 * [backup-simplify]: Simplify 1 into 1
10.680 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.680 * [taylor]: Taking taylor expansion of y in x
10.680 * [backup-simplify]: Simplify y into y
10.680 * [taylor]: Taking taylor expansion of (- x y) in x
10.680 * [taylor]: Taking taylor expansion of x in x
10.680 * [backup-simplify]: Simplify 0 into 0
10.680 * [backup-simplify]: Simplify 1 into 1
10.680 * [taylor]: Taking taylor expansion of y in x
10.681 * [backup-simplify]: Simplify y into y
10.681 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.681 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
10.681 * [backup-simplify]: Simplify (- y) into (- y)
10.681 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
10.681 * [backup-simplify]: Simplify (/ (pow y 2) (- y)) into (* -1 y)
10.681 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (- x y)) in x
10.681 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
10.681 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.681 * [taylor]: Taking taylor expansion of x in x
10.681 * [backup-simplify]: Simplify 0 into 0
10.681 * [backup-simplify]: Simplify 1 into 1
10.681 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.681 * [taylor]: Taking taylor expansion of y in x
10.681 * [backup-simplify]: Simplify y into y
10.681 * [taylor]: Taking taylor expansion of (- x y) in x
10.681 * [taylor]: Taking taylor expansion of x in x
10.681 * [backup-simplify]: Simplify 0 into 0
10.681 * [backup-simplify]: Simplify 1 into 1
10.681 * [taylor]: Taking taylor expansion of y in x
10.681 * [backup-simplify]: Simplify y into y
10.681 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.681 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
10.681 * [backup-simplify]: Simplify (- y) into (- y)
10.681 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
10.681 * [backup-simplify]: Simplify (/ (pow y 2) (- y)) into (* -1 y)
10.681 * [taylor]: Taking taylor expansion of (* -1 y) in y
10.681 * [taylor]: Taking taylor expansion of -1 in y
10.681 * [backup-simplify]: Simplify -1 into -1
10.681 * [taylor]: Taking taylor expansion of y in y
10.681 * [backup-simplify]: Simplify 0 into 0
10.681 * [backup-simplify]: Simplify 1 into 1
10.682 * [backup-simplify]: Simplify (* -1 0) into 0
10.682 * [backup-simplify]: Simplify 0 into 0
10.682 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.682 * [backup-simplify]: Simplify (+ 0 0) into 0
10.682 * [backup-simplify]: Simplify (- 0) into 0
10.683 * [backup-simplify]: Simplify (+ 1 0) into 1
10.683 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* (* -1 y) (/ 1 (- y))))) into (- 1)
10.683 * [taylor]: Taking taylor expansion of (- 1) in y
10.683 * [taylor]: Taking taylor expansion of 1 in y
10.683 * [backup-simplify]: Simplify 1 into 1
10.683 * [backup-simplify]: Simplify (- 1) into -1
10.683 * [backup-simplify]: Simplify -1 into -1
10.683 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
10.683 * [backup-simplify]: Simplify -1 into -1
10.684 * [backup-simplify]: Simplify (* 1 1) into 1
10.684 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
10.685 * [backup-simplify]: Simplify (+ 1 0) into 1
10.685 * [backup-simplify]: Simplify (- 0) into 0
10.685 * [backup-simplify]: Simplify (+ 0 0) into 0
10.686 * [backup-simplify]: Simplify (- (/ 1 (- y)) (+ (* (* -1 y) (/ 0 (- y))) (* (- 1) (/ 1 (- y))))) into (- (* 2 (/ 1 y)))
10.686 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 y))) in y
10.686 * [taylor]: Taking taylor expansion of (* 2 (/ 1 y)) in y
10.686 * [taylor]: Taking taylor expansion of 2 in y
10.686 * [backup-simplify]: Simplify 2 into 2
10.686 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.686 * [taylor]: Taking taylor expansion of y in y
10.686 * [backup-simplify]: Simplify 0 into 0
10.686 * [backup-simplify]: Simplify 1 into 1
10.686 * [backup-simplify]: Simplify (/ 1 1) into 1
10.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.688 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
10.688 * [backup-simplify]: Simplify (- 0) into 0
10.688 * [backup-simplify]: Simplify 0 into 0
10.689 * [backup-simplify]: Simplify (- 0) into 0
10.689 * [backup-simplify]: Simplify 0 into 0
10.690 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
10.690 * [backup-simplify]: Simplify 0 into 0
10.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.691 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
10.691 * [backup-simplify]: Simplify (+ 0 0) into 0
10.692 * [backup-simplify]: Simplify (- 0) into 0
10.692 * [backup-simplify]: Simplify (+ 0 0) into 0
10.693 * [backup-simplify]: Simplify (- (/ 0 (- y)) (+ (* (* -1 y) (/ 0 (- y))) (* (- 1) (/ 0 (- y))) (* (- (* 2 (/ 1 y))) (/ 1 (- y))))) into (- (* 2 (/ 1 (pow y 2))))
10.693 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
10.693 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.693 * [taylor]: Taking taylor expansion of 2 in y
10.693 * [backup-simplify]: Simplify 2 into 2
10.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.693 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.693 * [taylor]: Taking taylor expansion of y in y
10.693 * [backup-simplify]: Simplify 0 into 0
10.693 * [backup-simplify]: Simplify 1 into 1
10.693 * [backup-simplify]: Simplify (* 1 1) into 1
10.694 * [backup-simplify]: Simplify (/ 1 1) into 1
10.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.698 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.698 * [backup-simplify]: Simplify (- 0) into 0
10.698 * [backup-simplify]: Simplify 0 into 0
10.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.700 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.701 * [backup-simplify]: Simplify (- 0) into 0
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify (- 0) into 0
10.701 * [backup-simplify]: Simplify 0 into 0
10.701 * [backup-simplify]: Simplify (+ (* -1 (* y 1)) (* -1 (* 1 x))) into (- (+ x y))
10.702 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y)))
10.702 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in (x y) around 0
10.702 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in y
10.702 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
10.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
10.702 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.702 * [taylor]: Taking taylor expansion of x in y
10.702 * [backup-simplify]: Simplify x into x
10.702 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.702 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.702 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.702 * [taylor]: Taking taylor expansion of y in y
10.702 * [backup-simplify]: Simplify 0 into 0
10.702 * [backup-simplify]: Simplify 1 into 1
10.703 * [backup-simplify]: Simplify (* 1 1) into 1
10.703 * [backup-simplify]: Simplify (/ 1 1) into 1
10.703 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
10.703 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.703 * [taylor]: Taking taylor expansion of x in y
10.703 * [backup-simplify]: Simplify x into x
10.703 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.703 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.704 * [taylor]: Taking taylor expansion of y in y
10.704 * [backup-simplify]: Simplify 0 into 0
10.704 * [backup-simplify]: Simplify 1 into 1
10.704 * [backup-simplify]: Simplify (/ 1 1) into 1
10.704 * [backup-simplify]: Simplify (+ 0 1) into 1
10.705 * [backup-simplify]: Simplify (- 1) into -1
10.705 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.706 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.706 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x
10.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.706 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.706 * [taylor]: Taking taylor expansion of x in x
10.706 * [backup-simplify]: Simplify 0 into 0
10.706 * [backup-simplify]: Simplify 1 into 1
10.706 * [backup-simplify]: Simplify (* 1 1) into 1
10.707 * [backup-simplify]: Simplify (/ 1 1) into 1
10.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.707 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.707 * [taylor]: Taking taylor expansion of y in x
10.707 * [backup-simplify]: Simplify y into y
10.707 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.707 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.707 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
10.707 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.707 * [taylor]: Taking taylor expansion of x in x
10.707 * [backup-simplify]: Simplify 0 into 0
10.707 * [backup-simplify]: Simplify 1 into 1
10.708 * [backup-simplify]: Simplify (/ 1 1) into 1
10.708 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.708 * [taylor]: Taking taylor expansion of y in x
10.708 * [backup-simplify]: Simplify y into y
10.708 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.708 * [backup-simplify]: Simplify (+ 1 0) into 1
10.709 * [backup-simplify]: Simplify (+ 1 0) into 1
10.709 * [backup-simplify]: Simplify (/ 1 1) into 1
10.709 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 x) (/ 1 y))) in x
10.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.709 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.709 * [taylor]: Taking taylor expansion of x in x
10.709 * [backup-simplify]: Simplify 0 into 0
10.709 * [backup-simplify]: Simplify 1 into 1
10.709 * [backup-simplify]: Simplify (* 1 1) into 1
10.710 * [backup-simplify]: Simplify (/ 1 1) into 1
10.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.710 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.710 * [taylor]: Taking taylor expansion of y in x
10.710 * [backup-simplify]: Simplify y into y
10.710 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.710 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.710 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
10.710 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.710 * [taylor]: Taking taylor expansion of x in x
10.710 * [backup-simplify]: Simplify 0 into 0
10.710 * [backup-simplify]: Simplify 1 into 1
10.711 * [backup-simplify]: Simplify (/ 1 1) into 1
10.711 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.711 * [taylor]: Taking taylor expansion of y in x
10.711 * [backup-simplify]: Simplify y into y
10.711 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.711 * [backup-simplify]: Simplify (+ 1 0) into 1
10.711 * [backup-simplify]: Simplify (+ 1 0) into 1
10.712 * [backup-simplify]: Simplify (/ 1 1) into 1
10.712 * [taylor]: Taking taylor expansion of 1 in y
10.712 * [backup-simplify]: Simplify 1 into 1
10.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.713 * [backup-simplify]: Simplify (+ 0 0) into 0
10.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.714 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
10.714 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
10.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (- (/ 1 y)) 1)))) into (/ 1 y)
10.715 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.715 * [taylor]: Taking taylor expansion of y in y
10.715 * [backup-simplify]: Simplify 0 into 0
10.715 * [backup-simplify]: Simplify 1 into 1
10.715 * [backup-simplify]: Simplify (/ 1 1) into 1
10.715 * [backup-simplify]: Simplify 1 into 1
10.715 * [backup-simplify]: Simplify 1 into 1
10.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.717 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
10.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.718 * [backup-simplify]: Simplify (- 0) into 0
10.719 * [backup-simplify]: Simplify (+ 0 0) into 0
10.720 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 2)))
10.720 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.720 * [taylor]: Taking taylor expansion of 2 in y
10.720 * [backup-simplify]: Simplify 2 into 2
10.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.720 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.720 * [taylor]: Taking taylor expansion of y in y
10.720 * [backup-simplify]: Simplify 0 into 0
10.720 * [backup-simplify]: Simplify 1 into 1
10.720 * [backup-simplify]: Simplify (* 1 1) into 1
10.720 * [backup-simplify]: Simplify (/ 1 1) into 1
10.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.722 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
10.722 * [backup-simplify]: Simplify 0 into 0
10.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.723 * [backup-simplify]: Simplify 0 into 0
10.723 * [backup-simplify]: Simplify 0 into 0
10.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.725 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
10.726 * [backup-simplify]: Simplify (+ 0 0) into 0
10.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.727 * [backup-simplify]: Simplify (- 0) into 0
10.728 * [backup-simplify]: Simplify (+ 0 0) into 0
10.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (/ 1 y) (/ 0 1)) (* (* 2 (/ 1 (pow y 2))) (/ (- (/ 1 y)) 1)))) into (* 2 (/ 1 (pow y 3)))
10.729 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
10.729 * [taylor]: Taking taylor expansion of 2 in y
10.729 * [backup-simplify]: Simplify 2 into 2
10.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
10.729 * [taylor]: Taking taylor expansion of (pow y 3) in y
10.729 * [taylor]: Taking taylor expansion of y in y
10.729 * [backup-simplify]: Simplify 0 into 0
10.729 * [backup-simplify]: Simplify 1 into 1
10.730 * [backup-simplify]: Simplify (* 1 1) into 1
10.730 * [backup-simplify]: Simplify (* 1 1) into 1
10.730 * [backup-simplify]: Simplify (/ 1 1) into 1
10.731 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.735 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.735 * [backup-simplify]: Simplify 0 into 0
10.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.738 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.738 * [backup-simplify]: Simplify 0 into 0
10.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.738 * [backup-simplify]: Simplify 0 into 0
10.739 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1 (* (/ 1 (/ 1 y)) 1))) into (+ x y)
10.739 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y)))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x)))
10.739 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in (x y) around 0
10.739 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in y
10.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
10.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
10.739 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.739 * [taylor]: Taking taylor expansion of x in y
10.739 * [backup-simplify]: Simplify x into x
10.739 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.740 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.740 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.740 * [taylor]: Taking taylor expansion of y in y
10.740 * [backup-simplify]: Simplify 0 into 0
10.740 * [backup-simplify]: Simplify 1 into 1
10.745 * [backup-simplify]: Simplify (* 1 1) into 1
10.746 * [backup-simplify]: Simplify (/ 1 1) into 1
10.746 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
10.746 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.746 * [taylor]: Taking taylor expansion of y in y
10.746 * [backup-simplify]: Simplify 0 into 0
10.746 * [backup-simplify]: Simplify 1 into 1
10.747 * [backup-simplify]: Simplify (/ 1 1) into 1
10.747 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.747 * [taylor]: Taking taylor expansion of x in y
10.747 * [backup-simplify]: Simplify x into x
10.747 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.747 * [backup-simplify]: Simplify (+ 0 1) into 1
10.748 * [backup-simplify]: Simplify (+ 1 0) into 1
10.748 * [backup-simplify]: Simplify (/ 1 1) into 1
10.748 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x
10.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.748 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.748 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.748 * [taylor]: Taking taylor expansion of x in x
10.748 * [backup-simplify]: Simplify 0 into 0
10.748 * [backup-simplify]: Simplify 1 into 1
10.748 * [backup-simplify]: Simplify (* 1 1) into 1
10.749 * [backup-simplify]: Simplify (/ 1 1) into 1
10.749 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.749 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.749 * [taylor]: Taking taylor expansion of y in x
10.749 * [backup-simplify]: Simplify y into y
10.749 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.749 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.749 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
10.749 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.749 * [taylor]: Taking taylor expansion of y in x
10.749 * [backup-simplify]: Simplify y into y
10.749 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.749 * [taylor]: Taking taylor expansion of x in x
10.749 * [backup-simplify]: Simplify 0 into 0
10.749 * [backup-simplify]: Simplify 1 into 1
10.750 * [backup-simplify]: Simplify (/ 1 1) into 1
10.750 * [backup-simplify]: Simplify (+ 1 0) into 1
10.750 * [backup-simplify]: Simplify (- 1) into -1
10.751 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.751 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.751 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (- (/ 1 y) (/ 1 x))) in x
10.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.751 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.751 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.751 * [taylor]: Taking taylor expansion of x in x
10.751 * [backup-simplify]: Simplify 0 into 0
10.751 * [backup-simplify]: Simplify 1 into 1
10.752 * [backup-simplify]: Simplify (* 1 1) into 1
10.752 * [backup-simplify]: Simplify (/ 1 1) into 1
10.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.752 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.752 * [taylor]: Taking taylor expansion of y in x
10.752 * [backup-simplify]: Simplify y into y
10.752 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.752 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.752 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
10.752 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.753 * [taylor]: Taking taylor expansion of y in x
10.753 * [backup-simplify]: Simplify y into y
10.753 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.753 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.753 * [taylor]: Taking taylor expansion of x in x
10.753 * [backup-simplify]: Simplify 0 into 0
10.753 * [backup-simplify]: Simplify 1 into 1
10.753 * [backup-simplify]: Simplify (/ 1 1) into 1
10.753 * [backup-simplify]: Simplify (+ 1 0) into 1
10.754 * [backup-simplify]: Simplify (- 1) into -1
10.754 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.754 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.755 * [taylor]: Taking taylor expansion of -1 in y
10.755 * [backup-simplify]: Simplify -1 into -1
10.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.756 * [backup-simplify]: Simplify (+ 0 0) into 0
10.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.757 * [backup-simplify]: Simplify (- 0) into 0
10.758 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.758 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (/ 1 y) -1)))) into (- (/ 1 y))
10.758 * [taylor]: Taking taylor expansion of (- (/ 1 y)) in y
10.758 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.758 * [taylor]: Taking taylor expansion of y in y
10.758 * [backup-simplify]: Simplify 0 into 0
10.758 * [backup-simplify]: Simplify 1 into 1
10.759 * [backup-simplify]: Simplify (/ 1 1) into 1
10.759 * [backup-simplify]: Simplify (- 1) into -1
10.759 * [backup-simplify]: Simplify -1 into -1
10.759 * [backup-simplify]: Simplify -1 into -1
10.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.761 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
10.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.763 * [backup-simplify]: Simplify (- 0) into 0
10.763 * [backup-simplify]: Simplify (+ 0 0) into 0
10.764 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 y)) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 2))))
10.764 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
10.764 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.764 * [taylor]: Taking taylor expansion of 2 in y
10.764 * [backup-simplify]: Simplify 2 into 2
10.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.764 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.764 * [taylor]: Taking taylor expansion of y in y
10.764 * [backup-simplify]: Simplify 0 into 0
10.764 * [backup-simplify]: Simplify 1 into 1
10.765 * [backup-simplify]: Simplify (* 1 1) into 1
10.765 * [backup-simplify]: Simplify (/ 1 1) into 1
10.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.767 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
10.767 * [backup-simplify]: Simplify (- 0) into 0
10.767 * [backup-simplify]: Simplify 0 into 0
10.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.768 * [backup-simplify]: Simplify (- 0) into 0
10.768 * [backup-simplify]: Simplify 0 into 0
10.768 * [backup-simplify]: Simplify 0 into 0
10.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.770 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
10.771 * [backup-simplify]: Simplify (+ 0 0) into 0
10.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.772 * [backup-simplify]: Simplify (- 0) into 0
10.772 * [backup-simplify]: Simplify (+ 0 0) into 0
10.774 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* (- (/ 1 y)) (/ 0 -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ (/ 1 y) -1)))) into (- (* 2 (/ 1 (pow y 3))))
10.774 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 3)))) in y
10.774 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 3))) in y
10.774 * [taylor]: Taking taylor expansion of 2 in y
10.774 * [backup-simplify]: Simplify 2 into 2
10.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 3)) in y
10.774 * [taylor]: Taking taylor expansion of (pow y 3) in y
10.774 * [taylor]: Taking taylor expansion of y in y
10.774 * [backup-simplify]: Simplify 0 into 0
10.774 * [backup-simplify]: Simplify 1 into 1
10.774 * [backup-simplify]: Simplify (* 1 1) into 1
10.775 * [backup-simplify]: Simplify (* 1 1) into 1
10.775 * [backup-simplify]: Simplify (/ 1 1) into 1
10.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.777 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.778 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.779 * [backup-simplify]: Simplify (- 0) into 0
10.779 * [backup-simplify]: Simplify 0 into 0
10.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.780 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.781 * [backup-simplify]: Simplify (- 0) into 0
10.781 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.781 * [backup-simplify]: Simplify (- 0) into 0
10.781 * [backup-simplify]: Simplify 0 into 0
10.781 * [backup-simplify]: Simplify (+ (* -1 (* 1 (/ 1 (/ 1 (- x))))) (* -1 (* (/ 1 (/ 1 (- y))) 1))) into (+ x y)
10.782 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
10.782 * [backup-simplify]: Simplify (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y)) into (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y)))
10.782 * [approximate]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in (x y) around 0
10.782 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in y
10.782 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
10.782 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.782 * [taylor]: Taking taylor expansion of x in y
10.782 * [backup-simplify]: Simplify x into x
10.782 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.782 * [taylor]: Taking taylor expansion of y in y
10.782 * [backup-simplify]: Simplify 0 into 0
10.782 * [backup-simplify]: Simplify 1 into 1
10.782 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
10.782 * [taylor]: Taking taylor expansion of (+ x y) in y
10.782 * [taylor]: Taking taylor expansion of x in y
10.782 * [backup-simplify]: Simplify x into x
10.782 * [taylor]: Taking taylor expansion of y in y
10.782 * [backup-simplify]: Simplify 0 into 0
10.782 * [backup-simplify]: Simplify 1 into 1
10.782 * [taylor]: Taking taylor expansion of (- x y) in y
10.782 * [taylor]: Taking taylor expansion of x in y
10.782 * [backup-simplify]: Simplify x into x
10.782 * [taylor]: Taking taylor expansion of y in y
10.782 * [backup-simplify]: Simplify 0 into 0
10.782 * [backup-simplify]: Simplify 1 into 1
10.782 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.782 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
10.782 * [backup-simplify]: Simplify (+ x 0) into x
10.783 * [backup-simplify]: Simplify (- 0) into 0
10.783 * [backup-simplify]: Simplify (+ x 0) into x
10.783 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.783 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
10.783 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x
10.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
10.783 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.783 * [taylor]: Taking taylor expansion of x in x
10.783 * [backup-simplify]: Simplify 0 into 0
10.783 * [backup-simplify]: Simplify 1 into 1
10.783 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.783 * [taylor]: Taking taylor expansion of y in x
10.783 * [backup-simplify]: Simplify y into y
10.783 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
10.783 * [taylor]: Taking taylor expansion of (+ x y) in x
10.783 * [taylor]: Taking taylor expansion of x in x
10.783 * [backup-simplify]: Simplify 0 into 0
10.783 * [backup-simplify]: Simplify 1 into 1
10.783 * [taylor]: Taking taylor expansion of y in x
10.783 * [backup-simplify]: Simplify y into y
10.783 * [taylor]: Taking taylor expansion of (- x y) in x
10.783 * [taylor]: Taking taylor expansion of x in x
10.783 * [backup-simplify]: Simplify 0 into 0
10.783 * [backup-simplify]: Simplify 1 into 1
10.783 * [taylor]: Taking taylor expansion of y in x
10.783 * [backup-simplify]: Simplify y into y
10.783 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.783 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
10.783 * [backup-simplify]: Simplify (+ 0 y) into y
10.783 * [backup-simplify]: Simplify (- y) into (- y)
10.783 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
10.784 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
10.784 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1
10.784 * [taylor]: Taking taylor expansion of (/ (+ (pow x 2) (pow y 2)) (* (+ x y) (- x y))) in x
10.784 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
10.784 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.784 * [taylor]: Taking taylor expansion of x in x
10.784 * [backup-simplify]: Simplify 0 into 0
10.784 * [backup-simplify]: Simplify 1 into 1
10.784 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.784 * [taylor]: Taking taylor expansion of y in x
10.784 * [backup-simplify]: Simplify y into y
10.784 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
10.784 * [taylor]: Taking taylor expansion of (+ x y) in x
10.784 * [taylor]: Taking taylor expansion of x in x
10.784 * [backup-simplify]: Simplify 0 into 0
10.784 * [backup-simplify]: Simplify 1 into 1
10.784 * [taylor]: Taking taylor expansion of y in x
10.784 * [backup-simplify]: Simplify y into y
10.784 * [taylor]: Taking taylor expansion of (- x y) in x
10.784 * [taylor]: Taking taylor expansion of x in x
10.784 * [backup-simplify]: Simplify 0 into 0
10.784 * [backup-simplify]: Simplify 1 into 1
10.784 * [taylor]: Taking taylor expansion of y in x
10.784 * [backup-simplify]: Simplify y into y
10.784 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.784 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
10.784 * [backup-simplify]: Simplify (+ 0 y) into y
10.784 * [backup-simplify]: Simplify (- y) into (- y)
10.784 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
10.784 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
10.784 * [backup-simplify]: Simplify (/ (pow y 2) (* -1 (pow y 2))) into -1
10.784 * [taylor]: Taking taylor expansion of -1 in y
10.785 * [backup-simplify]: Simplify -1 into -1
10.785 * [backup-simplify]: Simplify -1 into -1
10.785 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.785 * [backup-simplify]: Simplify (+ 0 0) into 0
10.785 * [backup-simplify]: Simplify (- 0) into 0
10.785 * [backup-simplify]: Simplify (+ 1 0) into 1
10.786 * [backup-simplify]: Simplify (+ 1 0) into 1
10.786 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
10.786 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))))) into 0
10.786 * [taylor]: Taking taylor expansion of 0 in y
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify 0 into 0
10.786 * [backup-simplify]: Simplify (* 1 1) into 1
10.786 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
10.787 * [backup-simplify]: Simplify (+ 1 0) into 1
10.787 * [backup-simplify]: Simplify (- 0) into 0
10.787 * [backup-simplify]: Simplify (+ 0 0) into 0
10.787 * [backup-simplify]: Simplify (+ 0 0) into 0
10.788 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
10.788 * [backup-simplify]: Simplify (- (/ 1 (* -1 (pow y 2))) (+ (* -1 (/ 1 (* -1 (pow y 2)))) (* 0 (/ 0 (* -1 (pow y 2)))))) into (- (* 2 (/ 1 (pow y 2))))
10.788 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
10.788 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.788 * [taylor]: Taking taylor expansion of 2 in y
10.788 * [backup-simplify]: Simplify 2 into 2
10.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.788 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.788 * [taylor]: Taking taylor expansion of y in y
10.788 * [backup-simplify]: Simplify 0 into 0
10.788 * [backup-simplify]: Simplify 1 into 1
10.788 * [backup-simplify]: Simplify (* 1 1) into 1
10.789 * [backup-simplify]: Simplify (/ 1 1) into 1
10.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.791 * [backup-simplify]: Simplify (- 0) into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.791 * [backup-simplify]: Simplify 0 into 0
10.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.792 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
10.792 * [backup-simplify]: Simplify (+ 0 0) into 0
10.793 * [backup-simplify]: Simplify (- 0) into 0
10.793 * [backup-simplify]: Simplify (+ 0 0) into 0
10.793 * [backup-simplify]: Simplify (+ 0 0) into 0
10.794 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
10.794 * [backup-simplify]: Simplify (- (/ 0 (* -1 (pow y 2))) (+ (* -1 (/ 0 (* -1 (pow y 2)))) (* 0 (/ 1 (* -1 (pow y 2)))) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 (* -1 (pow y 2)))))) into 0
10.794 * [taylor]: Taking taylor expansion of 0 in y
10.794 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify 0 into 0
10.794 * [backup-simplify]: Simplify -1 into -1
10.795 * [backup-simplify]: Simplify (* (/ (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y))) (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) (+ (/ 1 x) (/ 1 y))) into (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))))
10.795 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in (x y) around 0
10.795 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in y
10.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
10.795 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
10.795 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.795 * [taylor]: Taking taylor expansion of x in y
10.795 * [backup-simplify]: Simplify x into x
10.795 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.795 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.795 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.795 * [taylor]: Taking taylor expansion of y in y
10.795 * [backup-simplify]: Simplify 0 into 0
10.795 * [backup-simplify]: Simplify 1 into 1
10.795 * [backup-simplify]: Simplify (* 1 1) into 1
10.795 * [backup-simplify]: Simplify (/ 1 1) into 1
10.795 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
10.795 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
10.795 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.795 * [taylor]: Taking taylor expansion of x in y
10.796 * [backup-simplify]: Simplify x into x
10.796 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.796 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.796 * [taylor]: Taking taylor expansion of y in y
10.796 * [backup-simplify]: Simplify 0 into 0
10.796 * [backup-simplify]: Simplify 1 into 1
10.796 * [backup-simplify]: Simplify (/ 1 1) into 1
10.796 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
10.796 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.796 * [taylor]: Taking taylor expansion of y in y
10.796 * [backup-simplify]: Simplify 0 into 0
10.796 * [backup-simplify]: Simplify 1 into 1
10.796 * [backup-simplify]: Simplify (/ 1 1) into 1
10.796 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.796 * [taylor]: Taking taylor expansion of x in y
10.797 * [backup-simplify]: Simplify x into x
10.797 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.797 * [backup-simplify]: Simplify (+ 0 1) into 1
10.797 * [backup-simplify]: Simplify (- 1) into -1
10.798 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.798 * [backup-simplify]: Simplify (+ 1 0) into 1
10.798 * [backup-simplify]: Simplify (* -1 1) into -1
10.799 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.799 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x
10.799 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.799 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.799 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.799 * [taylor]: Taking taylor expansion of x in x
10.799 * [backup-simplify]: Simplify 0 into 0
10.799 * [backup-simplify]: Simplify 1 into 1
10.799 * [backup-simplify]: Simplify (* 1 1) into 1
10.800 * [backup-simplify]: Simplify (/ 1 1) into 1
10.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.800 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.800 * [taylor]: Taking taylor expansion of y in x
10.800 * [backup-simplify]: Simplify y into y
10.800 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.800 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.800 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
10.800 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
10.800 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.800 * [taylor]: Taking taylor expansion of x in x
10.800 * [backup-simplify]: Simplify 0 into 0
10.800 * [backup-simplify]: Simplify 1 into 1
10.800 * [backup-simplify]: Simplify (/ 1 1) into 1
10.800 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.800 * [taylor]: Taking taylor expansion of y in x
10.800 * [backup-simplify]: Simplify y into y
10.801 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.801 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.801 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.801 * [taylor]: Taking taylor expansion of y in x
10.801 * [backup-simplify]: Simplify y into y
10.801 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.801 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.801 * [taylor]: Taking taylor expansion of x in x
10.801 * [backup-simplify]: Simplify 0 into 0
10.801 * [backup-simplify]: Simplify 1 into 1
10.801 * [backup-simplify]: Simplify (/ 1 1) into 1
10.801 * [backup-simplify]: Simplify (+ 1 0) into 1
10.802 * [backup-simplify]: Simplify (+ 1 0) into 1
10.802 * [backup-simplify]: Simplify (+ 0 1) into 1
10.803 * [backup-simplify]: Simplify (* 1 1) into 1
10.803 * [backup-simplify]: Simplify (/ 1 1) into 1
10.803 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x)))) in x
10.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.803 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.803 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.803 * [taylor]: Taking taylor expansion of x in x
10.803 * [backup-simplify]: Simplify 0 into 0
10.803 * [backup-simplify]: Simplify 1 into 1
10.803 * [backup-simplify]: Simplify (* 1 1) into 1
10.804 * [backup-simplify]: Simplify (/ 1 1) into 1
10.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.804 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.804 * [taylor]: Taking taylor expansion of y in x
10.804 * [backup-simplify]: Simplify y into y
10.804 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.804 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.804 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
10.804 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
10.804 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.804 * [taylor]: Taking taylor expansion of x in x
10.804 * [backup-simplify]: Simplify 0 into 0
10.804 * [backup-simplify]: Simplify 1 into 1
10.805 * [backup-simplify]: Simplify (/ 1 1) into 1
10.805 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.805 * [taylor]: Taking taylor expansion of y in x
10.805 * [backup-simplify]: Simplify y into y
10.805 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.805 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.805 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.805 * [taylor]: Taking taylor expansion of y in x
10.805 * [backup-simplify]: Simplify y into y
10.805 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.805 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.805 * [taylor]: Taking taylor expansion of x in x
10.805 * [backup-simplify]: Simplify 0 into 0
10.805 * [backup-simplify]: Simplify 1 into 1
10.805 * [backup-simplify]: Simplify (/ 1 1) into 1
10.806 * [backup-simplify]: Simplify (+ 1 0) into 1
10.806 * [backup-simplify]: Simplify (+ 1 0) into 1
10.806 * [backup-simplify]: Simplify (+ 0 1) into 1
10.807 * [backup-simplify]: Simplify (* 1 1) into 1
10.807 * [backup-simplify]: Simplify (/ 1 1) into 1
10.807 * [taylor]: Taking taylor expansion of 1 in y
10.807 * [backup-simplify]: Simplify 1 into 1
10.807 * [backup-simplify]: Simplify 1 into 1
10.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.809 * [backup-simplify]: Simplify (+ 0 0) into 0
10.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.809 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.810 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
10.810 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
10.810 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
10.811 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
10.811 * [taylor]: Taking taylor expansion of 0 in y
10.811 * [backup-simplify]: Simplify 0 into 0
10.811 * [backup-simplify]: Simplify 0 into 0
10.811 * [backup-simplify]: Simplify 0 into 0
10.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.813 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
10.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.814 * [backup-simplify]: Simplify (+ 0 0) into 0
10.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.816 * [backup-simplify]: Simplify (- 0) into 0
10.816 * [backup-simplify]: Simplify (+ 0 0) into 0
10.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
10.818 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* 1 (/ (- (/ 1 (pow y 2))) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
10.818 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.818 * [taylor]: Taking taylor expansion of 2 in y
10.818 * [backup-simplify]: Simplify 2 into 2
10.818 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.818 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.818 * [taylor]: Taking taylor expansion of y in y
10.818 * [backup-simplify]: Simplify 0 into 0
10.818 * [backup-simplify]: Simplify 1 into 1
10.818 * [backup-simplify]: Simplify (* 1 1) into 1
10.819 * [backup-simplify]: Simplify (/ 1 1) into 1
10.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.822 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.822 * [backup-simplify]: Simplify 0 into 0
10.822 * [backup-simplify]: Simplify 0 into 0
10.823 * [backup-simplify]: Simplify 0 into 0
10.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.824 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
10.825 * [backup-simplify]: Simplify (+ 0 0) into 0
10.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.826 * [backup-simplify]: Simplify (+ 0 0) into 0
10.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.828 * [backup-simplify]: Simplify (- 0) into 0
10.828 * [backup-simplify]: Simplify (+ 0 0) into 0
10.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
10.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (- (/ 1 (pow y 2))) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
10.830 * [taylor]: Taking taylor expansion of 0 in y
10.830 * [backup-simplify]: Simplify 0 into 0
10.830 * [backup-simplify]: Simplify 0 into 0
10.830 * [backup-simplify]: Simplify 1 into 1
10.831 * [backup-simplify]: Simplify (* (/ (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y)))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) (+ (/ 1 (- x)) (/ 1 (- y)))) into (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))))
10.831 * [approximate]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in (x y) around 0
10.831 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in y
10.831 * [taylor]: Taking taylor expansion of -1 in y
10.831 * [backup-simplify]: Simplify -1 into -1
10.831 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in y
10.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
10.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
10.832 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.832 * [taylor]: Taking taylor expansion of x in y
10.832 * [backup-simplify]: Simplify x into x
10.832 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.832 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.832 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.832 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.832 * [taylor]: Taking taylor expansion of y in y
10.832 * [backup-simplify]: Simplify 0 into 0
10.832 * [backup-simplify]: Simplify 1 into 1
10.832 * [backup-simplify]: Simplify (* 1 1) into 1
10.833 * [backup-simplify]: Simplify (/ 1 1) into 1
10.833 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
10.833 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
10.833 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.833 * [taylor]: Taking taylor expansion of y in y
10.833 * [backup-simplify]: Simplify 0 into 0
10.833 * [backup-simplify]: Simplify 1 into 1
10.833 * [backup-simplify]: Simplify (/ 1 1) into 1
10.833 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.833 * [taylor]: Taking taylor expansion of x in y
10.833 * [backup-simplify]: Simplify x into x
10.833 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.833 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
10.833 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.833 * [taylor]: Taking taylor expansion of y in y
10.833 * [backup-simplify]: Simplify 0 into 0
10.833 * [backup-simplify]: Simplify 1 into 1
10.834 * [backup-simplify]: Simplify (/ 1 1) into 1
10.834 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.834 * [taylor]: Taking taylor expansion of x in y
10.834 * [backup-simplify]: Simplify x into x
10.834 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.834 * [backup-simplify]: Simplify (+ 0 1) into 1
10.835 * [backup-simplify]: Simplify (+ 1 0) into 1
10.835 * [backup-simplify]: Simplify (+ 1 0) into 1
10.835 * [backup-simplify]: Simplify (* 1 1) into 1
10.836 * [backup-simplify]: Simplify (/ 1 1) into 1
10.836 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x
10.836 * [taylor]: Taking taylor expansion of -1 in x
10.836 * [backup-simplify]: Simplify -1 into -1
10.836 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x
10.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.836 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.836 * [taylor]: Taking taylor expansion of x in x
10.836 * [backup-simplify]: Simplify 0 into 0
10.836 * [backup-simplify]: Simplify 1 into 1
10.836 * [backup-simplify]: Simplify (* 1 1) into 1
10.836 * [backup-simplify]: Simplify (/ 1 1) into 1
10.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.837 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.837 * [taylor]: Taking taylor expansion of y in x
10.837 * [backup-simplify]: Simplify y into y
10.837 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.837 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.837 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
10.837 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.837 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.837 * [taylor]: Taking taylor expansion of y in x
10.837 * [backup-simplify]: Simplify y into y
10.837 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.837 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.837 * [taylor]: Taking taylor expansion of x in x
10.837 * [backup-simplify]: Simplify 0 into 0
10.837 * [backup-simplify]: Simplify 1 into 1
10.837 * [backup-simplify]: Simplify (/ 1 1) into 1
10.837 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
10.837 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.838 * [taylor]: Taking taylor expansion of y in x
10.838 * [backup-simplify]: Simplify y into y
10.838 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.838 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.838 * [taylor]: Taking taylor expansion of x in x
10.838 * [backup-simplify]: Simplify 0 into 0
10.838 * [backup-simplify]: Simplify 1 into 1
10.838 * [backup-simplify]: Simplify (/ 1 1) into 1
10.838 * [backup-simplify]: Simplify (+ 1 0) into 1
10.839 * [backup-simplify]: Simplify (+ 0 1) into 1
10.839 * [backup-simplify]: Simplify (- 1) into -1
10.839 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.840 * [backup-simplify]: Simplify (* 1 -1) into -1
10.840 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.840 * [taylor]: Taking taylor expansion of (* -1 (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))))) in x
10.840 * [taylor]: Taking taylor expansion of -1 in x
10.840 * [backup-simplify]: Simplify -1 into -1
10.840 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x)))) in x
10.840 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.840 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.840 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.840 * [taylor]: Taking taylor expansion of x in x
10.840 * [backup-simplify]: Simplify 0 into 0
10.840 * [backup-simplify]: Simplify 1 into 1
10.841 * [backup-simplify]: Simplify (* 1 1) into 1
10.841 * [backup-simplify]: Simplify (/ 1 1) into 1
10.841 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.841 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.841 * [taylor]: Taking taylor expansion of y in x
10.841 * [backup-simplify]: Simplify y into y
10.841 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.841 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.841 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
10.842 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.842 * [taylor]: Taking taylor expansion of y in x
10.842 * [backup-simplify]: Simplify y into y
10.842 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.842 * [taylor]: Taking taylor expansion of x in x
10.842 * [backup-simplify]: Simplify 0 into 0
10.842 * [backup-simplify]: Simplify 1 into 1
10.842 * [backup-simplify]: Simplify (/ 1 1) into 1
10.842 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
10.842 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.842 * [taylor]: Taking taylor expansion of y in x
10.842 * [backup-simplify]: Simplify y into y
10.842 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.842 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.842 * [taylor]: Taking taylor expansion of x in x
10.842 * [backup-simplify]: Simplify 0 into 0
10.842 * [backup-simplify]: Simplify 1 into 1
10.843 * [backup-simplify]: Simplify (/ 1 1) into 1
10.843 * [backup-simplify]: Simplify (+ 1 0) into 1
10.843 * [backup-simplify]: Simplify (+ 0 1) into 1
10.844 * [backup-simplify]: Simplify (- 1) into -1
10.844 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.844 * [backup-simplify]: Simplify (* 1 -1) into -1
10.845 * [backup-simplify]: Simplify (/ 1 -1) into -1
10.845 * [backup-simplify]: Simplify (* -1 -1) into 1
10.845 * [taylor]: Taking taylor expansion of 1 in y
10.845 * [backup-simplify]: Simplify 1 into 1
10.845 * [backup-simplify]: Simplify 1 into 1
10.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.847 * [backup-simplify]: Simplify (+ 0 0) into 0
10.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.848 * [backup-simplify]: Simplify (- 0) into 0
10.848 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.849 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.849 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
10.849 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)))) into 0
10.850 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.850 * [taylor]: Taking taylor expansion of 0 in y
10.850 * [backup-simplify]: Simplify 0 into 0
10.850 * [backup-simplify]: Simplify 0 into 0
10.850 * [backup-simplify]: Simplify 0 into 0
10.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.852 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
10.852 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.853 * [backup-simplify]: Simplify (- 0) into 0
10.854 * [backup-simplify]: Simplify (+ 0 0) into 0
10.854 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.855 * [backup-simplify]: Simplify (+ 0 0) into 0
10.856 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
10.857 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) -1) (+ (* -1 (/ (/ 1 (pow y 2)) -1)) (* 0 (/ 0 -1)))) into (- (* 2 (/ 1 (pow y 2))))
10.857 * [backup-simplify]: Simplify (+ (* -1 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1))) into (* 2 (/ 1 (pow y 2)))
10.857 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.857 * [taylor]: Taking taylor expansion of 2 in y
10.857 * [backup-simplify]: Simplify 2 into 2
10.857 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.857 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.857 * [taylor]: Taking taylor expansion of y in y
10.858 * [backup-simplify]: Simplify 0 into 0
10.858 * [backup-simplify]: Simplify 1 into 1
10.858 * [backup-simplify]: Simplify (* 1 1) into 1
10.858 * [backup-simplify]: Simplify (/ 1 1) into 1
10.859 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.862 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.862 * [backup-simplify]: Simplify 0 into 0
10.862 * [backup-simplify]: Simplify 0 into 0
10.862 * [backup-simplify]: Simplify 0 into 0
10.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.864 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
10.865 * [backup-simplify]: Simplify (+ 0 0) into 0
10.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.866 * [backup-simplify]: Simplify (- 0) into 0
10.866 * [backup-simplify]: Simplify (+ 0 0) into 0
10.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.868 * [backup-simplify]: Simplify (+ 0 0) into 0
10.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
10.877 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* 0 (/ (/ 1 (pow y 2)) -1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 -1)))) into 0
10.878 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (- (* 2 (/ 1 (pow y 2))))) (+ (* 0 0) (* 0 -1)))) into 0
10.878 * [taylor]: Taking taylor expansion of 0 in y
10.878 * [backup-simplify]: Simplify 0 into 0
10.878 * [backup-simplify]: Simplify 0 into 0
10.878 * [backup-simplify]: Simplify 1 into 1
10.878 * * * * [progress]: [ 4 / 4 ] generating series at (2)
10.879 * [backup-simplify]: Simplify (/ 1 (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))) into (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2)))
10.879 * [approximate]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in (x y) around 0
10.879 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in y
10.879 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in y
10.879 * [taylor]: Taking taylor expansion of (+ x y) in y
10.879 * [taylor]: Taking taylor expansion of x in y
10.879 * [backup-simplify]: Simplify x into x
10.879 * [taylor]: Taking taylor expansion of y in y
10.879 * [backup-simplify]: Simplify 0 into 0
10.879 * [backup-simplify]: Simplify 1 into 1
10.879 * [taylor]: Taking taylor expansion of (- x y) in y
10.879 * [taylor]: Taking taylor expansion of x in y
10.879 * [backup-simplify]: Simplify x into x
10.879 * [taylor]: Taking taylor expansion of y in y
10.879 * [backup-simplify]: Simplify 0 into 0
10.879 * [backup-simplify]: Simplify 1 into 1
10.879 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
10.879 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.879 * [taylor]: Taking taylor expansion of x in y
10.879 * [backup-simplify]: Simplify x into x
10.879 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.879 * [taylor]: Taking taylor expansion of y in y
10.879 * [backup-simplify]: Simplify 0 into 0
10.879 * [backup-simplify]: Simplify 1 into 1
10.879 * [backup-simplify]: Simplify (+ x 0) into x
10.880 * [backup-simplify]: Simplify (- 0) into 0
10.880 * [backup-simplify]: Simplify (+ x 0) into x
10.880 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.880 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.880 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
10.880 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1
10.880 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
10.880 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
10.880 * [taylor]: Taking taylor expansion of (+ x y) in x
10.880 * [taylor]: Taking taylor expansion of x in x
10.880 * [backup-simplify]: Simplify 0 into 0
10.880 * [backup-simplify]: Simplify 1 into 1
10.880 * [taylor]: Taking taylor expansion of y in x
10.881 * [backup-simplify]: Simplify y into y
10.881 * [taylor]: Taking taylor expansion of (- x y) in x
10.881 * [taylor]: Taking taylor expansion of x in x
10.881 * [backup-simplify]: Simplify 0 into 0
10.881 * [backup-simplify]: Simplify 1 into 1
10.881 * [taylor]: Taking taylor expansion of y in x
10.881 * [backup-simplify]: Simplify y into y
10.881 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
10.881 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.881 * [taylor]: Taking taylor expansion of x in x
10.881 * [backup-simplify]: Simplify 0 into 0
10.881 * [backup-simplify]: Simplify 1 into 1
10.881 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.881 * [taylor]: Taking taylor expansion of y in x
10.881 * [backup-simplify]: Simplify y into y
10.881 * [backup-simplify]: Simplify (+ 0 y) into y
10.881 * [backup-simplify]: Simplify (- y) into (- y)
10.881 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
10.881 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
10.881 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.881 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
10.881 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
10.881 * [taylor]: Taking taylor expansion of (/ (* (+ x y) (- x y)) (+ (pow x 2) (pow y 2))) in x
10.882 * [taylor]: Taking taylor expansion of (* (+ x y) (- x y)) in x
10.882 * [taylor]: Taking taylor expansion of (+ x y) in x
10.882 * [taylor]: Taking taylor expansion of x in x
10.882 * [backup-simplify]: Simplify 0 into 0
10.882 * [backup-simplify]: Simplify 1 into 1
10.882 * [taylor]: Taking taylor expansion of y in x
10.882 * [backup-simplify]: Simplify y into y
10.882 * [taylor]: Taking taylor expansion of (- x y) in x
10.882 * [taylor]: Taking taylor expansion of x in x
10.882 * [backup-simplify]: Simplify 0 into 0
10.882 * [backup-simplify]: Simplify 1 into 1
10.882 * [taylor]: Taking taylor expansion of y in x
10.882 * [backup-simplify]: Simplify y into y
10.882 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
10.882 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.882 * [taylor]: Taking taylor expansion of x in x
10.882 * [backup-simplify]: Simplify 0 into 0
10.882 * [backup-simplify]: Simplify 1 into 1
10.882 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.882 * [taylor]: Taking taylor expansion of y in x
10.882 * [backup-simplify]: Simplify y into y
10.882 * [backup-simplify]: Simplify (+ 0 y) into y
10.882 * [backup-simplify]: Simplify (- y) into (- y)
10.882 * [backup-simplify]: Simplify (+ 0 (- y)) into (- y)
10.882 * [backup-simplify]: Simplify (* y (- y)) into (* -1 (pow y 2))
10.882 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.882 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
10.883 * [backup-simplify]: Simplify (/ (* -1 (pow y 2)) (pow y 2)) into -1
10.883 * [taylor]: Taking taylor expansion of -1 in y
10.883 * [backup-simplify]: Simplify -1 into -1
10.883 * [backup-simplify]: Simplify -1 into -1
10.883 * [backup-simplify]: Simplify (- 0) into 0
10.883 * [backup-simplify]: Simplify (+ 1 0) into 1
10.884 * [backup-simplify]: Simplify (+ 1 0) into 1
10.884 * [backup-simplify]: Simplify (+ (* y 1) (* 1 (- y))) into 0
10.884 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.884 * [backup-simplify]: Simplify (+ 0 0) into 0
10.885 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))))) into 0
10.885 * [taylor]: Taking taylor expansion of 0 in y
10.885 * [backup-simplify]: Simplify 0 into 0
10.885 * [backup-simplify]: Simplify 0 into 0
10.885 * [backup-simplify]: Simplify 0 into 0
10.885 * [backup-simplify]: Simplify (- 0) into 0
10.886 * [backup-simplify]: Simplify (+ 0 0) into 0
10.886 * [backup-simplify]: Simplify (+ 0 0) into 0
10.886 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 1) (* 0 (- y)))) into 1
10.887 * [backup-simplify]: Simplify (* 1 1) into 1
10.887 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
10.887 * [backup-simplify]: Simplify (+ 1 0) into 1
10.888 * [backup-simplify]: Simplify (- (/ 1 (pow y 2)) (+ (* -1 (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (* 2 (/ 1 (pow y 2)))
10.888 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.888 * [taylor]: Taking taylor expansion of 2 in y
10.888 * [backup-simplify]: Simplify 2 into 2
10.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.888 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.888 * [taylor]: Taking taylor expansion of y in y
10.888 * [backup-simplify]: Simplify 0 into 0
10.888 * [backup-simplify]: Simplify 1 into 1
10.888 * [backup-simplify]: Simplify (* 1 1) into 1
10.889 * [backup-simplify]: Simplify (/ 1 1) into 1
10.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.893 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.893 * [backup-simplify]: Simplify 0 into 0
10.893 * [backup-simplify]: Simplify 0 into 0
10.893 * [backup-simplify]: Simplify 0 into 0
10.893 * [backup-simplify]: Simplify (- 0) into 0
10.893 * [backup-simplify]: Simplify (+ 0 0) into 0
10.894 * [backup-simplify]: Simplify (+ 0 0) into 0
10.895 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 1 0) (+ (* 0 1) (* 0 (- y))))) into 0
10.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.896 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
10.896 * [backup-simplify]: Simplify (+ 0 0) into 0
10.897 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* -1 (/ 0 (pow y 2))) (* 0 (/ 1 (pow y 2))) (* (* 2 (/ 1 (pow y 2))) (/ 0 (pow y 2))))) into 0
10.897 * [taylor]: Taking taylor expansion of 0 in y
10.897 * [backup-simplify]: Simplify 0 into 0
10.897 * [backup-simplify]: Simplify 0 into 0
10.897 * [backup-simplify]: Simplify -1 into -1
10.898 * [backup-simplify]: Simplify (/ 1 (* (/ (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (- (/ 1 x) (/ 1 y))) (* (+ (/ 1 x) (/ 1 y)) (+ (/ 1 x) (/ 1 y)))) (+ (/ 1 x) (/ 1 y)))) into (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
10.898 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
10.898 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
10.898 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in y
10.898 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in y
10.898 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.898 * [taylor]: Taking taylor expansion of x in y
10.898 * [backup-simplify]: Simplify x into x
10.898 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.898 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.898 * [taylor]: Taking taylor expansion of y in y
10.898 * [backup-simplify]: Simplify 0 into 0
10.898 * [backup-simplify]: Simplify 1 into 1
10.899 * [backup-simplify]: Simplify (/ 1 1) into 1
10.899 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
10.899 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.899 * [taylor]: Taking taylor expansion of y in y
10.899 * [backup-simplify]: Simplify 0 into 0
10.899 * [backup-simplify]: Simplify 1 into 1
10.899 * [backup-simplify]: Simplify (/ 1 1) into 1
10.899 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.899 * [taylor]: Taking taylor expansion of x in y
10.899 * [backup-simplify]: Simplify x into x
10.899 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.899 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
10.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
10.900 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.900 * [taylor]: Taking taylor expansion of x in y
10.900 * [backup-simplify]: Simplify x into x
10.900 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.900 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.900 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.900 * [taylor]: Taking taylor expansion of y in y
10.900 * [backup-simplify]: Simplify 0 into 0
10.900 * [backup-simplify]: Simplify 1 into 1
10.900 * [backup-simplify]: Simplify (* 1 1) into 1
10.901 * [backup-simplify]: Simplify (/ 1 1) into 1
10.901 * [backup-simplify]: Simplify (- 1) into -1
10.901 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.902 * [backup-simplify]: Simplify (+ 1 0) into 1
10.902 * [backup-simplify]: Simplify (* -1 1) into -1
10.902 * [backup-simplify]: Simplify (+ 0 1) into 1
10.903 * [backup-simplify]: Simplify (/ -1 1) into -1
10.903 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
10.903 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
10.903 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
10.903 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.903 * [taylor]: Taking taylor expansion of x in x
10.903 * [backup-simplify]: Simplify 0 into 0
10.903 * [backup-simplify]: Simplify 1 into 1
10.903 * [backup-simplify]: Simplify (/ 1 1) into 1
10.903 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.903 * [taylor]: Taking taylor expansion of y in x
10.903 * [backup-simplify]: Simplify y into y
10.904 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.904 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.904 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.904 * [taylor]: Taking taylor expansion of y in x
10.904 * [backup-simplify]: Simplify y into y
10.904 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.904 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.904 * [taylor]: Taking taylor expansion of x in x
10.904 * [backup-simplify]: Simplify 0 into 0
10.904 * [backup-simplify]: Simplify 1 into 1
10.904 * [backup-simplify]: Simplify (/ 1 1) into 1
10.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.904 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.904 * [taylor]: Taking taylor expansion of x in x
10.904 * [backup-simplify]: Simplify 0 into 0
10.904 * [backup-simplify]: Simplify 1 into 1
10.905 * [backup-simplify]: Simplify (* 1 1) into 1
10.905 * [backup-simplify]: Simplify (/ 1 1) into 1
10.905 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.905 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.905 * [taylor]: Taking taylor expansion of y in x
10.905 * [backup-simplify]: Simplify y into y
10.905 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.905 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.906 * [backup-simplify]: Simplify (+ 1 0) into 1
10.906 * [backup-simplify]: Simplify (+ 0 1) into 1
10.906 * [backup-simplify]: Simplify (* 1 1) into 1
10.907 * [backup-simplify]: Simplify (+ 1 0) into 1
10.907 * [backup-simplify]: Simplify (/ 1 1) into 1
10.907 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
10.907 * [taylor]: Taking taylor expansion of (* (- (/ 1 x) (/ 1 y)) (+ (/ 1 y) (/ 1 x))) in x
10.907 * [taylor]: Taking taylor expansion of (- (/ 1 x) (/ 1 y)) in x
10.907 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.907 * [taylor]: Taking taylor expansion of x in x
10.907 * [backup-simplify]: Simplify 0 into 0
10.907 * [backup-simplify]: Simplify 1 into 1
10.908 * [backup-simplify]: Simplify (/ 1 1) into 1
10.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.908 * [taylor]: Taking taylor expansion of y in x
10.908 * [backup-simplify]: Simplify y into y
10.908 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.908 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.908 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.908 * [taylor]: Taking taylor expansion of y in x
10.908 * [backup-simplify]: Simplify y into y
10.908 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.908 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.908 * [taylor]: Taking taylor expansion of x in x
10.908 * [backup-simplify]: Simplify 0 into 0
10.908 * [backup-simplify]: Simplify 1 into 1
10.908 * [backup-simplify]: Simplify (/ 1 1) into 1
10.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.908 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.908 * [taylor]: Taking taylor expansion of x in x
10.909 * [backup-simplify]: Simplify 0 into 0
10.909 * [backup-simplify]: Simplify 1 into 1
10.909 * [backup-simplify]: Simplify (* 1 1) into 1
10.909 * [backup-simplify]: Simplify (/ 1 1) into 1
10.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.909 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.909 * [taylor]: Taking taylor expansion of y in x
10.909 * [backup-simplify]: Simplify y into y
10.909 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.910 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.910 * [backup-simplify]: Simplify (+ 1 0) into 1
10.910 * [backup-simplify]: Simplify (+ 0 1) into 1
10.911 * [backup-simplify]: Simplify (* 1 1) into 1
10.912 * [backup-simplify]: Simplify (+ 1 0) into 1
10.912 * [backup-simplify]: Simplify (/ 1 1) into 1
10.912 * [taylor]: Taking taylor expansion of 1 in y
10.912 * [backup-simplify]: Simplify 1 into 1
10.912 * [backup-simplify]: Simplify 1 into 1
10.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.913 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.914 * [backup-simplify]: Simplify (- (/ 1 y)) into (- (/ 1 y))
10.914 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y))) into (- (/ 1 y))
10.914 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (- (/ 1 y)) 1)) into 0
10.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.916 * [backup-simplify]: Simplify (+ 0 0) into 0
10.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0
10.917 * [taylor]: Taking taylor expansion of 0 in y
10.917 * [backup-simplify]: Simplify 0 into 0
10.917 * [backup-simplify]: Simplify 0 into 0
10.917 * [backup-simplify]: Simplify 0 into 0
10.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.918 * [backup-simplify]: Simplify (+ 0 0) into 0
10.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.919 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.920 * [backup-simplify]: Simplify (- 0) into 0
10.920 * [backup-simplify]: Simplify (+ 0 0) into 0
10.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) (/ 1 y)) (* 0 1))) into (- (/ 1 (pow y 2)))
10.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.923 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
10.924 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow y 2))) 1) (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow y 2))))
10.924 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
10.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.924 * [taylor]: Taking taylor expansion of 2 in y
10.924 * [backup-simplify]: Simplify 2 into 2
10.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.924 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.924 * [taylor]: Taking taylor expansion of y in y
10.924 * [backup-simplify]: Simplify 0 into 0
10.924 * [backup-simplify]: Simplify 1 into 1
10.924 * [backup-simplify]: Simplify (* 1 1) into 1
10.924 * [backup-simplify]: Simplify (/ 1 1) into 1
10.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.928 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.928 * [backup-simplify]: Simplify (- 0) into 0
10.928 * [backup-simplify]: Simplify 0 into 0
10.928 * [backup-simplify]: Simplify 0 into 0
10.928 * [backup-simplify]: Simplify 0 into 0
10.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.930 * [backup-simplify]: Simplify (+ 0 0) into 0
10.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.931 * [backup-simplify]: Simplify (- 0) into 0
10.931 * [backup-simplify]: Simplify (+ 0 0) into 0
10.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 y)) 0) (+ (* 0 (/ 1 y)) (* 0 1)))) into 0
10.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.934 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
10.935 * [backup-simplify]: Simplify (+ 0 0) into 0
10.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (- (* 2 (/ 1 (pow y 2)))) (/ 0 1)))) into 0
10.936 * [taylor]: Taking taylor expansion of 0 in y
10.936 * [backup-simplify]: Simplify 0 into 0
10.936 * [backup-simplify]: Simplify 0 into 0
10.936 * [backup-simplify]: Simplify 1 into 1
10.937 * [backup-simplify]: Simplify (/ 1 (* (/ (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (- (/ 1 (- x)) (/ 1 (- y)))) (* (+ (/ 1 (- x)) (/ 1 (- y))) (+ (/ 1 (- x)) (/ 1 (- y))))) (+ (/ 1 (- x)) (/ 1 (- y))))) into (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))
10.937 * [approximate]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in (x y) around 0
10.937 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
10.937 * [taylor]: Taking taylor expansion of -1 in y
10.937 * [backup-simplify]: Simplify -1 into -1
10.938 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
10.938 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in y
10.938 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in y
10.938 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.938 * [taylor]: Taking taylor expansion of y in y
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [backup-simplify]: Simplify 1 into 1
10.938 * [backup-simplify]: Simplify (/ 1 1) into 1
10.938 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.938 * [taylor]: Taking taylor expansion of x in y
10.938 * [backup-simplify]: Simplify x into x
10.938 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.938 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in y
10.938 * [taylor]: Taking taylor expansion of (/ 1 y) in y
10.938 * [taylor]: Taking taylor expansion of y in y
10.938 * [backup-simplify]: Simplify 0 into 0
10.938 * [backup-simplify]: Simplify 1 into 1
10.939 * [backup-simplify]: Simplify (/ 1 1) into 1
10.939 * [taylor]: Taking taylor expansion of (/ 1 x) in y
10.939 * [taylor]: Taking taylor expansion of x in y
10.939 * [backup-simplify]: Simplify x into x
10.939 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
10.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
10.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
10.939 * [taylor]: Taking taylor expansion of (pow x 2) in y
10.939 * [taylor]: Taking taylor expansion of x in y
10.939 * [backup-simplify]: Simplify x into x
10.939 * [backup-simplify]: Simplify (* x x) into (pow x 2)
10.939 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
10.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.939 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.939 * [taylor]: Taking taylor expansion of y in y
10.939 * [backup-simplify]: Simplify 0 into 0
10.939 * [backup-simplify]: Simplify 1 into 1
10.940 * [backup-simplify]: Simplify (* 1 1) into 1
10.940 * [backup-simplify]: Simplify (/ 1 1) into 1
10.940 * [backup-simplify]: Simplify (+ 1 0) into 1
10.941 * [backup-simplify]: Simplify (+ 1 0) into 1
10.941 * [backup-simplify]: Simplify (* 1 1) into 1
10.941 * [backup-simplify]: Simplify (+ 0 1) into 1
10.942 * [backup-simplify]: Simplify (/ 1 1) into 1
10.942 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
10.942 * [taylor]: Taking taylor expansion of -1 in x
10.942 * [backup-simplify]: Simplify -1 into -1
10.942 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
10.942 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
10.942 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.942 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.942 * [taylor]: Taking taylor expansion of y in x
10.942 * [backup-simplify]: Simplify y into y
10.942 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.942 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.942 * [taylor]: Taking taylor expansion of x in x
10.942 * [backup-simplify]: Simplify 0 into 0
10.942 * [backup-simplify]: Simplify 1 into 1
10.943 * [backup-simplify]: Simplify (/ 1 1) into 1
10.943 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
10.943 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.943 * [taylor]: Taking taylor expansion of y in x
10.943 * [backup-simplify]: Simplify y into y
10.943 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.943 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.943 * [taylor]: Taking taylor expansion of x in x
10.943 * [backup-simplify]: Simplify 0 into 0
10.943 * [backup-simplify]: Simplify 1 into 1
10.943 * [backup-simplify]: Simplify (/ 1 1) into 1
10.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.943 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.943 * [taylor]: Taking taylor expansion of x in x
10.943 * [backup-simplify]: Simplify 0 into 0
10.943 * [backup-simplify]: Simplify 1 into 1
10.944 * [backup-simplify]: Simplify (* 1 1) into 1
10.944 * [backup-simplify]: Simplify (/ 1 1) into 1
10.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.944 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.944 * [taylor]: Taking taylor expansion of y in x
10.944 * [backup-simplify]: Simplify y into y
10.944 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.944 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.945 * [backup-simplify]: Simplify (+ 0 1) into 1
10.945 * [backup-simplify]: Simplify (- 1) into -1
10.945 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.946 * [backup-simplify]: Simplify (* 1 -1) into -1
10.946 * [backup-simplify]: Simplify (+ 1 0) into 1
10.946 * [backup-simplify]: Simplify (/ -1 1) into -1
10.947 * [taylor]: Taking taylor expansion of (* -1 (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
10.947 * [taylor]: Taking taylor expansion of -1 in x
10.947 * [backup-simplify]: Simplify -1 into -1
10.947 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
10.947 * [taylor]: Taking taylor expansion of (* (+ (/ 1 y) (/ 1 x)) (- (/ 1 y) (/ 1 x))) in x
10.947 * [taylor]: Taking taylor expansion of (+ (/ 1 y) (/ 1 x)) in x
10.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.947 * [taylor]: Taking taylor expansion of y in x
10.947 * [backup-simplify]: Simplify y into y
10.947 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.947 * [taylor]: Taking taylor expansion of x in x
10.947 * [backup-simplify]: Simplify 0 into 0
10.947 * [backup-simplify]: Simplify 1 into 1
10.947 * [backup-simplify]: Simplify (/ 1 1) into 1
10.947 * [taylor]: Taking taylor expansion of (- (/ 1 y) (/ 1 x)) in x
10.947 * [taylor]: Taking taylor expansion of (/ 1 y) in x
10.947 * [taylor]: Taking taylor expansion of y in x
10.947 * [backup-simplify]: Simplify y into y
10.947 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
10.947 * [taylor]: Taking taylor expansion of (/ 1 x) in x
10.948 * [taylor]: Taking taylor expansion of x in x
10.948 * [backup-simplify]: Simplify 0 into 0
10.948 * [backup-simplify]: Simplify 1 into 1
10.948 * [backup-simplify]: Simplify (/ 1 1) into 1
10.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
10.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
10.948 * [taylor]: Taking taylor expansion of (pow x 2) in x
10.948 * [taylor]: Taking taylor expansion of x in x
10.948 * [backup-simplify]: Simplify 0 into 0
10.948 * [backup-simplify]: Simplify 1 into 1
10.948 * [backup-simplify]: Simplify (* 1 1) into 1
10.949 * [backup-simplify]: Simplify (/ 1 1) into 1
10.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
10.949 * [taylor]: Taking taylor expansion of (pow y 2) in x
10.949 * [taylor]: Taking taylor expansion of y in x
10.949 * [backup-simplify]: Simplify y into y
10.949 * [backup-simplify]: Simplify (* y y) into (pow y 2)
10.949 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
10.949 * [backup-simplify]: Simplify (+ 0 1) into 1
10.950 * [backup-simplify]: Simplify (- 1) into -1
10.950 * [backup-simplify]: Simplify (+ 0 -1) into -1
10.950 * [backup-simplify]: Simplify (* 1 -1) into -1
10.951 * [backup-simplify]: Simplify (+ 1 0) into 1
10.951 * [backup-simplify]: Simplify (/ -1 1) into -1
10.952 * [backup-simplify]: Simplify (* -1 -1) into 1
10.952 * [taylor]: Taking taylor expansion of 1 in y
10.952 * [backup-simplify]: Simplify 1 into 1
10.952 * [backup-simplify]: Simplify 1 into 1
10.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.953 * [backup-simplify]: Simplify (- 0) into 0
10.953 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.953 * [backup-simplify]: Simplify (+ (/ 1 y) 0) into (/ 1 y)
10.954 * [backup-simplify]: Simplify (+ (* 1 (/ 1 y)) (* (/ 1 y) -1)) into 0
10.954 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.955 * [backup-simplify]: Simplify (+ 0 0) into 0
10.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
10.956 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
10.956 * [taylor]: Taking taylor expansion of 0 in y
10.956 * [backup-simplify]: Simplify 0 into 0
10.956 * [backup-simplify]: Simplify 0 into 0
10.956 * [backup-simplify]: Simplify 0 into 0
10.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.958 * [backup-simplify]: Simplify (- 0) into 0
10.958 * [backup-simplify]: Simplify (+ 0 0) into 0
10.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
10.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.959 * [backup-simplify]: Simplify (+ 0 0) into 0
10.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) (/ 1 y)) (* 0 -1))) into (/ 1 (pow y 2))
10.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.962 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
10.963 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y 2)) 1) (+ (* -1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (* 2 (/ 1 (pow y 2)))
10.964 * [backup-simplify]: Simplify (+ (* -1 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1))) into (- (* 2 (/ 1 (pow y 2))))
10.964 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow y 2)))) in y
10.964 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow y 2))) in y
10.964 * [taylor]: Taking taylor expansion of 2 in y
10.964 * [backup-simplify]: Simplify 2 into 2
10.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
10.964 * [taylor]: Taking taylor expansion of (pow y 2) in y
10.964 * [taylor]: Taking taylor expansion of y in y
10.964 * [backup-simplify]: Simplify 0 into 0
10.964 * [backup-simplify]: Simplify 1 into 1
10.964 * [backup-simplify]: Simplify (* 1 1) into 1
10.964 * [backup-simplify]: Simplify (/ 1 1) into 1
10.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
10.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
10.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
10.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.968 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
10.969 * [backup-simplify]: Simplify (- 0) into 0
10.969 * [backup-simplify]: Simplify 0 into 0
10.969 * [backup-simplify]: Simplify 0 into 0
10.969 * [backup-simplify]: Simplify 0 into 0
10.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.970 * [backup-simplify]: Simplify (- 0) into 0
10.971 * [backup-simplify]: Simplify (+ 0 0) into 0
10.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
10.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.972 * [backup-simplify]: Simplify (+ 0 0) into 0
10.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 y) 0) (+ (* 0 (/ 1 y)) (* 0 -1)))) into 0
10.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
10.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
10.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
10.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
10.976 * [backup-simplify]: Simplify (+ 0 0) into 0
10.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ (/ 1 (pow y 2)) 1)) (* (* 2 (/ 1 (pow y 2))) (/ 0 1)))) into 0
10.980 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 (* 2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 -1)))) into 0
10.980 * [taylor]: Taking taylor expansion of 0 in y
10.980 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify 0 into 0
10.980 * [backup-simplify]: Simplify 1 into 1
10.980 * * * [progress]: simplifying candidates
10.986 * [simplify]: Simplifying:
  (- (- (log (+ (* x x) (* y y))) (log (- x y))) (+ (log (+ x y)) (log (+ x y))))
  (- (- (log (+ (* x x) (* y y))) (log (- x y))) (log (* (+ x y) (+ x y))))
  (- (log (/ (+ (* x x) (* y y)) (- x y))) (+ (log (+ x y)) (log (+ x y))))
  (- (log (/ (+ (* x x) (* y y)) (- x y))) (log (* (+ x y) (+ x y))))
  (log (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (exp (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (/ (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))))
  (/ (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))))
  (/ (* (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y))))
  (/ (* (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (- x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y))))
  (* (cbrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (cbrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))))
  (cbrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (* (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (sqrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (sqrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (- (/ (+ (* x x) (* y y)) (- x y)))
  (- (* (+ x y) (+ x y)))
  (/ (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y)))) (+ x y))
  (/ (cbrt (/ (+ (* x x) (* y y)) (- x y))) (+ x y))
  (/ (sqrt (/ (+ (* x x) (* y y)) (- x y))) (+ x y))
  (/ (sqrt (/ (+ (* x x) (* y y)) (- x y))) (+ x y))
  (/ (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y)))) (+ x y))
  (/ (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))) (+ x y))
  (/ (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y))) (+ x y))
  (/ (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y))) (+ x y))
  (/ (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1) (+ x y))
  (/ (/ (cbrt (+ (* x x) (* y y))) (- x y)) (+ x y))
  (/ (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y))) (+ x y))
  (/ (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) (+ x y))
  (/ (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1) (+ x y))
  (/ (/ (cbrt (+ (* x x) (* y y))) (- x y)) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y)))) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) 1) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) (- x y)) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y))) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) 1) (+ x y))
  (/ (/ (sqrt (+ (* x x) (* y y))) (- x y)) (+ x y))
  (/ (/ 1 (* (cbrt (- x y)) (cbrt (- x y)))) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (cbrt (- x y))) (+ x y))
  (/ (/ 1 (sqrt (- x y))) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (sqrt (- x y))) (+ x y))
  (/ (/ 1 1) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (+ x y))
  (/ (/ 1 (+ (sqrt x) (sqrt y))) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))) (+ x y))
  (/ (/ 1 1) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (+ x y))
  (/ 1 (+ x y))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (+ x y))
  (/ (+ (* x x) (* y y)) (+ x y))
  (/ (/ 1 (- x y)) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3))) (+ x y))
  (/ (+ (* x x) (+ (* y y) (* x y))) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) (+ x y))
  (/ (+ x y) (+ x y))
  (/ 1 (* (+ x y) (+ x y)))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (+ x y))
  (/ (* (+ x y) (+ x y)) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (* (+ x y) (+ x y)) (sqrt (/ (+ (* x x) (* y y)) (- x y))))
  (/ (* (+ x y) (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ (* (+ x y) (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ (* (+ x y) (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ (* (+ x y) (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ (* (+ x y) (+ x y)) (/ (cbrt (+ (* x x) (* y y))) (- x y)))
  (/ (* (+ x y) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))))
  (/ (* (+ x y) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))))
  (/ (* (+ x y) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ (* (+ x y) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))))
  (/ (* (+ x y) (+ x y)) (/ (sqrt (+ (* x x) (* y y))) (- x y)))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (cbrt (- x y))))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (sqrt (- x y))))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (* (+ x y) (+ x y)) (/ 1 (- x y)))
  (/ (* (+ x y) (+ x y)) (+ (* x x) (+ (* y y) (* x y))))
  (/ (* (+ x y) (+ x y)) (+ x y))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ (pow x 3) (pow y 3)) (+ (pow x 3) (pow y 3))))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ (pow x 3) (pow y 3)) (- (* x x) (* y y))))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (- (* x x) (* y y)) (+ (pow x 3) (pow y 3))))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (- (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ (pow x 3) (pow y 3))))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (- (* x x) (* y y))))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ (pow x 3) (pow y 3)) (+ x y)))
  (/ (/ (+ (* x x) (* y y)) (- x y)) (* (- (* x x) (* y y)) (+ x y)))
  (* (* (+ x y) (+ x y)) (- x y))
  (- (log (+ (* x x) (* y y))) (log (- x y)))
  (log (/ (+ (* x x) (* y y)) (- x y)))
  (exp (/ (+ (* x x) (* y y)) (- x y)))
  (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y)))
  (* (cbrt (/ (+ (* x x) (* y y)) (- x y))) (cbrt (/ (+ (* x x) (* y y)) (- x y))))
  (cbrt (/ (+ (* x x) (* y y)) (- x y)))
  (* (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (- x y)))
  (sqrt (/ (+ (* x x) (* y y)) (- x y)))
  (sqrt (/ (+ (* x x) (* y y)) (- x y)))
  (- (+ (* x x) (* y y)))
  (- (- x y))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y)))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (sqrt (- x y)))
  (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)
  (/ (cbrt (+ (* x x) (* y y))) (- x y))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (+ (sqrt x) (sqrt y)))
  (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))
  (/ (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) 1)
  (/ (cbrt (+ (* x x) (* y y))) (- x y))
  (/ (sqrt (+ (* x x) (* y y))) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y)))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y)))
  (/ (sqrt (+ (* x x) (* y y))) 1)
  (/ (sqrt (+ (* x x) (* y y))) (- x y))
  (/ (sqrt (+ (* x x) (* y y))) (+ (sqrt x) (sqrt y)))
  (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y)))
  (/ (sqrt (+ (* x x) (* y y))) 1)
  (/ (sqrt (+ (* x x) (* y y))) (- x y))
  (/ 1 (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ (* x x) (* y y)) (cbrt (- x y)))
  (/ 1 (sqrt (- x y)))
  (/ (+ (* x x) (* y y)) (sqrt (- x y)))
  (/ 1 1)
  (/ (+ (* x x) (* y y)) (- x y))
  (/ 1 (+ (sqrt x) (sqrt y)))
  (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y)))
  (/ 1 1)
  (/ (+ (* x x) (* y y)) (- x y))
  (/ 1 (- x y))
  (/ (- x y) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (* (cbrt (- x y)) (cbrt (- x y))))
  (/ (+ (* x x) (* y y)) (sqrt (- x y)))
  (/ (+ (* x x) (* y y)) 1)
  (/ (+ (* x x) (* y y)) (+ (sqrt x) (sqrt y)))
  (/ (+ (* x x) (* y y)) 1)
  (/ (- x y) (cbrt (+ (* x x) (* y y))))
  (/ (- x y) (sqrt (+ (* x x) (* y y))))
  (/ (- x y) (+ (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (- (pow x 3) (pow y 3)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (* (- x y) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (* (- x y) (- (* x x) (* y y)))
  (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))
  (+ (- (- (log (+ (* x x) (* y y))) (log (- x y))) (+ (log (+ x y)) (log (+ x y)))) (log (+ x y)))
  (+ (- (- (log (+ (* x x) (* y y))) (log (- x y))) (log (* (+ x y) (+ x y)))) (log (+ x y)))
  (+ (- (log (/ (+ (* x x) (* y y)) (- x y))) (+ (log (+ x y)) (log (+ x y)))) (log (+ x y)))
  (+ (- (log (/ (+ (* x x) (* y y)) (- x y))) (log (* (+ x y) (+ x y)))) (log (+ x y)))
  (+ (log (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (log (+ x y)))
  (log (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y)))
  (exp (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y)))
  (* (/ (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (+ x y) (+ x y)) (+ x y)))
  (* (/ (/ (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y))) (* (* (- x y) (- x y)) (- x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y)))) (* (* (+ x y) (+ x y)) (+ x y)))
  (* (/ (* (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (- x y))) (* (* (* (+ x y) (+ x y)) (+ x y)) (* (* (+ x y) (+ x y)) (+ x y)))) (* (* (+ x y) (+ x y)) (+ x y)))
  (* (/ (* (* (/ (+ (* x x) (* y y)) (- x y)) (/ (+ (* x x) (* y y)) (- x y))) (/ (+ (* x x) (* y y)) (- x y))) (* (* (* (+ x y) (+ x y)) (* (+ x y) (+ x y))) (* (+ x y) (+ x y)))) (* (* (+ x y) (+ x y)) (+ x y)))
  (* (* (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (* (* (+ x y) (+ x y)) (+ x y)))
  (* (cbrt (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))) (cbrt (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))))
  (cbrt (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y)))
  (* (* (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y)) (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))) (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y)))
  (sqrt (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y)))
  (sqrt (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y)))
  (* (/ (+ (* x x) (* y y)) (- x y)) (+ (pow x 3) (pow y 3)))
  (* (* (+ x y) (+ x y)) (+ (* x x) (- (* y y) (* x y))))
  (* (/ (+ (* x x) (* y y)) (- x y)) (- (* x x) (* y y)))
  (* (* (+ x y) (+ x y)) (- x y))
  (* (sqrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (sqrt (+ x y)))
  (* (sqrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (sqrt (+ x y)))
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10.999 * * [simplify]: Extracting # 0 : cost  0
11.000 * * [simplify]: Extracting # 1 : cost  0
11.000 * * [simplify]: Extracting # 2 : cost  0
11.001 * * [simplify]: Extracting # 3 : cost  0
11.002 * * [simplify]: Extracting # 4 : cost  0
11.003 * * [simplify]: Extracting # 5 : cost  0
11.004 * * [simplify]: Extracting # 6 : cost  0
11.005 * * [simplify]: Extracting # 7 : cost  0
11.006 * * [simplify]: iteration  0 :  301  enodes  (cost  6091 )
11.141 * * [simplify]: Extracting # 0 : cost  0
11.144 * * [simplify]: Extracting # 1 : cost  0
11.146 * * [simplify]: Extracting # 2 : cost  0
11.149 * * [simplify]: Extracting # 3 : cost  0
11.152 * * [simplify]: Extracting # 4 : cost  0
11.155 * * [simplify]: iteration  1 :  981  enodes  (cost  5886 )
12.030 * * [simplify]: Extracting # 0 : cost  0
12.035 * * [simplify]: Extracting # 1 : cost  0
12.040 * * [simplify]: Extracting # 2 : cost  0
12.045 * * [simplify]: Extracting # 3 : cost  0
12.049 * * [simplify]: Extracting # 4 : cost  0
12.054 * * [simplify]: iteration  2 :  3750  enodes  (cost  4434 )
13.446 * * [simplify]: Extracting # 0 : cost  0
13.460 * * [simplify]: Extracting # 1 : cost  0
13.472 * * [simplify]: Extracting # 2 : cost  0
13.483 * * [simplify]: Extracting # 3 : cost  0
13.495 * * [simplify]: Extracting # 4 : cost  0
13.506 * * [simplify]: iteration done:  5001  enodes  (cost  4424 )
13.509 * [simplify]: Simplified to:
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  (pow (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) 3)
  (pow (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) 3)
  (pow (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) 3)
  (* (cbrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) (cbrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (cbrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (pow (/ (+ (* x x) (* y y)) (- (* x x) (* y y))) 3)
  (sqrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (sqrt (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
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  (* (/ (+ (* x x) (* y y)) (- x y)) (- (* x x) (* y y)))
  (* (- x y) (* (+ x y) (+ x y)))
  (* (sqrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (sqrt (+ x y)))
  (* (sqrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (sqrt (+ x y)))
  (* (/ (sqrt (/ (+ (* x x) (* y y)) (- x y))) (+ x y)) (sqrt (+ x y)))
  (* (/ (sqrt (/ (+ (* x x) (* y y)) (- x y))) (+ x y)) (sqrt (+ x y)))
  (* (/ (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (+ x y)) (sqrt (+ x y)))
  (* (/ (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) (+ x y)) (sqrt (+ x y)))
  (* x (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (* y (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (* x (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (* y (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))))
  (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y))))
  (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (sqrt (+ x y)))
  (/ (+ (* x x) (* y y)) (* (- x y) (* (+ x y) (+ x y))))
  (/ (+ (* x x) (* y y)) (* (- x y) (* (+ x y) (+ x y))))
  (* (cbrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (+ x y))
  (* (sqrt (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y)))) (+ x y))
  (/ (cbrt (/ (+ (* x x) (* y y)) (- x y))) 1)
  (/ (sqrt (/ (+ (* x x) (* y y)) (- x y))) 1)
  (/ (/ (cbrt (+ (* x x) (* y y))) (cbrt (- x y))) 1)
  (/ (/ (cbrt (+ (* x x) (* y y))) (sqrt (- x y))) 1)
  (/ (/ (cbrt (+ (* x x) (* y y))) (- x y)) 1)
  (/ (/ (cbrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) 1)
  (/ (/ (cbrt (+ (* x x) (* y y))) (- x y)) 1)
  (/ (/ (sqrt (+ (* x x) (* y y))) (cbrt (- x y))) 1)
  (/ (/ (sqrt (+ (* x x) (* y y))) (sqrt (- x y))) 1)
  (/ (/ (sqrt (+ (* x x) (* y y))) (- x y)) 1)
  (/ (/ (sqrt (+ (* x x) (* y y))) (- (sqrt x) (sqrt y))) 1)
  (/ (/ (sqrt (+ (* x x) (* y y))) (- x y)) 1)
  (/ (/ (+ (* x x) (* y y)) (cbrt (- x y))) 1)
  (/ (/ (+ (* x x) (* y y)) (sqrt (- x y))) 1)
  (/ (/ (+ (* x x) (* y y)) (- x y)) 1)
  (/ (/ (+ (* x x) (* y y)) (- (sqrt x) (sqrt y))) 1)
  (/ (/ (+ (* x x) (* y y)) (- x y)) 1)
  (/ (/ (+ (* x x) (* y y)) (- x y)) 1)
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  (/ (+ (* y (+ x y)) (* x x)) 1)
  (+ x y)
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  (/ 1 (+ x y))
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  (* (+ (* y (- y x)) (* x x)) (- (* x x) (* y y)))
  (* (- x y) (- (* x x) (* y y)))
  (* (+ (* y (- y x)) (* x x)) (+ x y))
  (- (* x x) (* y y))
  (* (+ (* y (- y x)) (* x x)) (+ x y))
  (- (* x x) (* y y))
  (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ (pow x 3) (pow y 3)))
  (* (- x y) (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (* (/ (+ (* x x) (* y y)) (- x y)) (+ x y))
  -1
  -1
  (- (log (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (- (log (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (- (log (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (- (log (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (- (log (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (- (log (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  (- (log (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
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  (pow (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) 3)
  (pow (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) 3)
  (pow (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) 3)
  (pow (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) 3)
  (pow (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))) 3)
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  (sqrt (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))))
  -1
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  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ x y))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ 1 (+ x y))
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  (/ 1 (+ x y))
  (/ 1 (/ (+ (* x x) (* y y)) (- (* x x) (* y y))))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (* (+ x y) (+ x y)) (/ (+ (* x x) (* y y)) (- x y)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (/ (+ (* x x) (* y y)) (- (* x x) (* y y)))
  (/ 1 (* (/ (+ (* x x) (* y y)) (- x y)) (+ (pow x 3) (pow y 3))))
  (/ 1 (* (/ (+ (* x x) (* y y)) (- x y)) (- (* x x) (* y y))))
  (/ (* (/ (+ x y) (+ (* x x) (* y y))) (- (* x x) (* y y))) (+ (pow x 3) (pow y 3)))
  (* (/ (/ 1 (/ (+ (* x x) (* y y)) (- x y))) (- x y)) (+ x y))
  (/ 1 (* (/ (+ (* x x) (* y y)) (- x y)) (+ x y)))
  0
  0
  0
  (- (+ x y))
  (+ x y)
  (+ x y)
  -1
  1
  1
  -1
  1
  1
13.513 * * * [progress]: adding candidates to table
14.337 * [progress]: [Phase 3 of 3] Extracting.
14.337 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (/ 1 (* (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))> #<alt (λ (x y) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (/ 1 (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))))> #<alt (λ (x y) (/ 1 1))> #<alt (λ (x y) -1)>)
14.340 * * * [regime-changes]: Trying 2 branch expressions: (y x)
14.340 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (/ 1 (* (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))> #<alt (λ (x y) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (/ 1 (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))))> #<alt (λ (x y) (/ 1 1))> #<alt (λ (x y) -1)>)
14.396 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (/ 1 (* (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))> #<alt (λ (x y) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (/ 1 (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))))> #<alt (λ (x y) (/ 1 1))> #<alt (λ (x y) -1)>)
14.425 * * * [regime]: Found split indices: #<option (#s(si 4 88) #s(si 1 124) #s(si 3 218) #s(si 1 255))>
14.426 * [binary-search]: Improving bounds with binary search for y and (#<alt (λ (x y) (/ 1 (* (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))> #<alt (λ (x y) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (/ 1 (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))))> #<alt (λ (x y) (/ 1 1))> #<alt (λ (x y) -1)>)
14.552 * [regimes]: Found splitpoints: (#s(sp 4 y -106.83622190829594) #s(sp 1 y -7.718474411270338e-160) #s(sp 3 y 2.1155504904828537e-166) #s(sp 1 y +nan.0)) , with alts (#<alt (λ (x y) (/ 1 (* (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (* (cbrt (+ x y)) (cbrt (+ x y)))) (cbrt (+ x y)))))> #<alt (λ (x y) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))> #<alt (λ (x y) (/ 1 (* (/ (/ (+ (* x x) (* y y)) (- x y)) (* (+ x y) (+ x y))) (+ x y))))> #<alt (λ (x y) (/ 1 1))> #<alt (λ (x y) -1)>)
14.553 * [simplify]: Simplifying:
  (if (<= y -106.83622190829594) -1 (if (<= y -7.718474411270338e-160) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) (if (<= y 2.1155504904828537e-166) (/ 1 1) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))))))
14.553 * * [simplify]: Extracting # 0 : cost  0
14.553 * * [simplify]: Extracting # 1 : cost  0
14.553 * * [simplify]: Extracting # 2 : cost  0
14.554 * * [simplify]: Extracting # 3 : cost  0
14.554 * * [simplify]: Extracting # 4 : cost  0
14.554 * * [simplify]: Extracting # 5 : cost  0
14.554 * * [simplify]: Extracting # 6 : cost  0
14.554 * * [simplify]: Extracting # 7 : cost  0
14.554 * * [simplify]: Extracting # 8 : cost  0
14.554 * * [simplify]: Extracting # 9 : cost  0
14.554 * * [simplify]: Extracting # 10 : cost  0
14.554 * * [simplify]: iteration  0 :  23  enodes  (cost  66 )
14.557 * * [simplify]: Extracting # 0 : cost  0
14.558 * * [simplify]: Extracting # 1 : cost  0
14.558 * * [simplify]: Extracting # 2 : cost  0
14.558 * * [simplify]: Extracting # 3 : cost  0
14.558 * * [simplify]: Extracting # 4 : cost  0
14.558 * * [simplify]: Extracting # 5 : cost  0
14.558 * * [simplify]: iteration  1 :  31  enodes  (cost  40 )
14.560 * * [simplify]: Extracting # 0 : cost  0
14.560 * * [simplify]: iteration done:  31  enodes  (cost  40 )
14.560 * [simplify]: Simplified to:
  (if (<= y -106.83622190829594) -1 (if (or (<= y -7.718474411270338e-160) (not (<= y 2.1155504904828537e-166))) (/ (/ (* (- x y) (+ x y)) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y)))) 1))
16.408 * [regime-testing]: Baseline error score: 20.472616362550212
16.412 * [regime-testing]: Oracle error score: 0.4780084141879524
16.421 * [regime-testing]: End program error score: 5.0067767384899
16.488 * [regime-testing]: Target error score: 0.07077277968095869