12.322 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.054 * * * [progress]: [2/2] Setting up program.
0.060 * [progress]: [Phase 2 of 3] Improving.
0.060 * [simplify]: Simplifying:
  (+ (+ (* x x) (* (* x 2.0) y)) (* y y))
0.060 * * [simplify]: iteration 0: 9 enodes
0.063 * * [simplify]: iteration 1: 17 enodes
0.067 * * [simplify]: iteration 2: 37 enodes
0.072 * * [simplify]: iteration 3: 47 enodes
0.077 * * [simplify]: iteration complete: 47 enodes
0.077 * * [simplify]: Extracting #0: cost 1 inf + 0
0.077 * * [simplify]: Extracting #1: cost 7 inf + 0
0.077 * * [simplify]: Extracting #2: cost 15 inf + 0
0.077 * * [simplify]: Extracting #3: cost 10 inf + 9
0.077 * * [simplify]: Extracting #4: cost 2 inf + 55
0.077 * * [simplify]: Extracting #5: cost 0 inf + 65
0.077 * [simplify]: Simplified to:
  (+ (* y y) (* x (+ x (* y 2.0))))
0.081 * * [progress]: iteration 1 / 4
0.081 * * * [progress]: picking best candidate
0.086 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* y y) (* x (+ x (* y 2.0)))))>
0.086 * * * [progress]: localizing error
0.097 * * * [progress]: generating rewritten candidates
0.097 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2)
0.123 * * * * [progress]: [ 2 / 2 ] rewriting at (2)
0.139 * * * [progress]: generating series expansions
0.139 * * * * [progress]: [ 1 / 2 ] generating series at (2 2)
0.139 * [backup-simplify]: Simplify (* x (+ x (* y 2.0))) into (* x (+ x (* 2.0 y)))
0.139 * [approximate]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in (x y) around 0
0.139 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in y
0.139 * [taylor]: Taking taylor expansion of x in y
0.139 * [backup-simplify]: Simplify x into x
0.139 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in y
0.139 * [taylor]: Taking taylor expansion of x in y
0.139 * [backup-simplify]: Simplify x into x
0.139 * [taylor]: Taking taylor expansion of (* 2.0 y) in y
0.139 * [taylor]: Taking taylor expansion of 2.0 in y
0.139 * [backup-simplify]: Simplify 2.0 into 2.0
0.139 * [taylor]: Taking taylor expansion of y in y
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x
0.140 * [taylor]: Taking taylor expansion of x in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x
0.140 * [taylor]: Taking taylor expansion of x in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (* 2.0 y) in x
0.140 * [taylor]: Taking taylor expansion of 2.0 in x
0.140 * [backup-simplify]: Simplify 2.0 into 2.0
0.140 * [taylor]: Taking taylor expansion of y in x
0.140 * [backup-simplify]: Simplify y into y
0.140 * [taylor]: Taking taylor expansion of (* x (+ x (* 2.0 y))) in x
0.140 * [taylor]: Taking taylor expansion of x in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (+ x (* 2.0 y)) in x
0.140 * [taylor]: Taking taylor expansion of x in x
0.140 * [backup-simplify]: Simplify 0 into 0
0.140 * [backup-simplify]: Simplify 1 into 1
0.140 * [taylor]: Taking taylor expansion of (* 2.0 y) in x
0.140 * [taylor]: Taking taylor expansion of 2.0 in x
0.140 * [backup-simplify]: Simplify 2.0 into 2.0
0.140 * [taylor]: Taking taylor expansion of y in x
0.140 * [backup-simplify]: Simplify y into y
0.140 * [backup-simplify]: Simplify (* 2.0 y) into (* 2.0 y)
0.140 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
0.141 * [backup-simplify]: Simplify (* 0 (* 2.0 y)) into 0
0.141 * [taylor]: Taking taylor expansion of 0 in y
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [backup-simplify]: Simplify 0 into 0
0.142 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 y)) into 0
0.142 * [backup-simplify]: Simplify (+ 1 0) into 1
0.143 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 (* 2.0 y))) into (* 2.0 y)
0.143 * [taylor]: Taking taylor expansion of (* 2.0 y) in y
0.143 * [taylor]: Taking taylor expansion of 2.0 in y
0.143 * [backup-simplify]: Simplify 2.0 into 2.0
0.143 * [taylor]: Taking taylor expansion of y in y
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 y))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 (* 2.0 y)))) into 1
0.145 * [taylor]: Taking taylor expansion of 1 in y
0.146 * [backup-simplify]: Simplify 1 into 1
0.146 * [backup-simplify]: Simplify 1 into 1
0.147 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
0.147 * [backup-simplify]: Simplify 2.0 into 2.0
0.147 * [backup-simplify]: Simplify 0 into 0
0.147 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 (* 2.0 y))))) into 0
0.148 * [taylor]: Taking taylor expansion of 0 in y
0.148 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.150 * [backup-simplify]: Simplify (+ 0 0) into 0
0.151 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 (* 2.0 y)))))) into 0
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (* 2.0 (* x y)))
0.152 * [backup-simplify]: Simplify (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0))) into (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x)
0.152 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in (x y) around 0
0.152 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in y
0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in y
0.152 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.152 * [taylor]: Taking taylor expansion of x in y
0.152 * [backup-simplify]: Simplify x into x
0.152 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y
0.152 * [taylor]: Taking taylor expansion of 2.0 in y
0.152 * [backup-simplify]: Simplify 2.0 into 2.0
0.152 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.152 * [taylor]: Taking taylor expansion of y in y
0.152 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 1 into 1
0.152 * [backup-simplify]: Simplify (/ 1 1) into 1
0.152 * [taylor]: Taking taylor expansion of x in y
0.152 * [backup-simplify]: Simplify x into x
0.153 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
0.153 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
0.153 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x)
0.153 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x
0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x
0.153 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.153 * [taylor]: Taking taylor expansion of x in x
0.153 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify 1 into 1
0.153 * [backup-simplify]: Simplify (/ 1 1) into 1
0.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x
0.154 * [taylor]: Taking taylor expansion of 2.0 in x
0.154 * [backup-simplify]: Simplify 2.0 into 2.0
0.154 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.154 * [taylor]: Taking taylor expansion of y in x
0.154 * [backup-simplify]: Simplify y into y
0.154 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.154 * [taylor]: Taking taylor expansion of x in x
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (+ 1 0) into 1
0.154 * [backup-simplify]: Simplify (/ 1 1) into 1
0.154 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x
0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x
0.154 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.154 * [taylor]: Taking taylor expansion of x in x
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x
0.155 * [taylor]: Taking taylor expansion of 2.0 in x
0.155 * [backup-simplify]: Simplify 2.0 into 2.0
0.155 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.155 * [taylor]: Taking taylor expansion of y in x
0.155 * [backup-simplify]: Simplify y into y
0.155 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.155 * [taylor]: Taking taylor expansion of x in x
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (+ 1 0) into 1
0.155 * [backup-simplify]: Simplify (/ 1 1) into 1
0.155 * [taylor]: Taking taylor expansion of 1 in y
0.155 * [backup-simplify]: Simplify 1 into 1
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
0.156 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
0.157 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y))
0.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y
0.157 * [taylor]: Taking taylor expansion of 2.0 in y
0.157 * [backup-simplify]: Simplify 2.0 into 2.0
0.157 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.157 * [taylor]: Taking taylor expansion of y in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [backup-simplify]: Simplify (/ 1 1) into 1
0.157 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
0.157 * [backup-simplify]: Simplify 2.0 into 2.0
0.157 * [backup-simplify]: Simplify 1 into 1
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.158 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0
0.160 * [taylor]: Taking taylor expansion of 0 in y
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.160 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.162 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.162 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.163 * [taylor]: Taking taylor expansion of 0 in y
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.164 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
0.164 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.166 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.168 * [taylor]: Taking taylor expansion of 0 in y
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x))))) into (+ (pow x 2) (* 2.0 (* x y)))
0.168 * [backup-simplify]: Simplify (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0))) into (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x)
0.168 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in (x y) around 0
0.168 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in y
0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in y
0.168 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.169 * [taylor]: Taking taylor expansion of x in y
0.169 * [backup-simplify]: Simplify x into x
0.169 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.169 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y
0.169 * [taylor]: Taking taylor expansion of 2.0 in y
0.169 * [backup-simplify]: Simplify 2.0 into 2.0
0.169 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.169 * [taylor]: Taking taylor expansion of y in y
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ 1 1) into 1
0.169 * [taylor]: Taking taylor expansion of x in y
0.169 * [backup-simplify]: Simplify x into x
0.169 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
0.170 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
0.170 * [backup-simplify]: Simplify (/ 2.0 x) into (/ 2.0 x)
0.170 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x
0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x
0.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.170 * [taylor]: Taking taylor expansion of x in x
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (/ 1 1) into 1
0.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x
0.170 * [taylor]: Taking taylor expansion of 2.0 in x
0.170 * [backup-simplify]: Simplify 2.0 into 2.0
0.170 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.170 * [taylor]: Taking taylor expansion of y in x
0.170 * [backup-simplify]: Simplify y into y
0.170 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.170 * [taylor]: Taking taylor expansion of x in x
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (+ 1 0) into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 x) (* 2.0 (/ 1 y))) x) in x
0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 x) (* 2.0 (/ 1 y))) in x
0.171 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.171 * [taylor]: Taking taylor expansion of x in x
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in x
0.171 * [taylor]: Taking taylor expansion of 2.0 in x
0.171 * [backup-simplify]: Simplify 2.0 into 2.0
0.171 * [taylor]: Taking taylor expansion of (/ 1 y) in x
0.171 * [taylor]: Taking taylor expansion of y in x
0.171 * [backup-simplify]: Simplify y into y
0.171 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.171 * [taylor]: Taking taylor expansion of x in x
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (+ 1 0) into 1
0.172 * [backup-simplify]: Simplify (/ 1 1) into 1
0.172 * [taylor]: Taking taylor expansion of 1 in y
0.172 * [backup-simplify]: Simplify 1 into 1
0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
0.173 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
0.173 * [backup-simplify]: Simplify (- (/ (* 2.0 (/ 1 y)) 1) (+ (* 1 (/ 0 1)))) into (* 2.0 (/ 1 y))
0.173 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y
0.173 * [taylor]: Taking taylor expansion of 2.0 in y
0.173 * [backup-simplify]: Simplify 2.0 into 2.0
0.173 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.173 * [taylor]: Taking taylor expansion of y in y
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (/ 1 1) into 1
0.174 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
0.174 * [backup-simplify]: Simplify 2.0 into 2.0
0.174 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.175 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)))) into 0
0.177 * [taylor]: Taking taylor expansion of 0 in y
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.180 * [taylor]: Taking taylor expansion of 0 in y
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.181 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.183 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (* 2.0 (/ 1 y)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.185 * [taylor]: Taking taylor expansion of 0 in y
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x)))))) into (+ (pow x 2) (* 2.0 (* x y)))
0.185 * * * * [progress]: [ 2 / 2 ] generating series at (2)
0.185 * [backup-simplify]: Simplify (+ (* y y) (* x (+ x (* y 2.0)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
0.185 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (y x) around 0
0.185 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
0.186 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.186 * [taylor]: Taking taylor expansion of y in x
0.186 * [backup-simplify]: Simplify y into y
0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
0.186 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.186 * [taylor]: Taking taylor expansion of x in x
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
0.186 * [taylor]: Taking taylor expansion of 2.0 in x
0.186 * [backup-simplify]: Simplify 2.0 into 2.0
0.186 * [taylor]: Taking taylor expansion of (* x y) in x
0.186 * [taylor]: Taking taylor expansion of x in x
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [taylor]: Taking taylor expansion of y in x
0.186 * [backup-simplify]: Simplify y into y
0.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.186 * [taylor]: Taking taylor expansion of y in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.186 * [taylor]: Taking taylor expansion of x in y
0.186 * [backup-simplify]: Simplify x into x
0.186 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
0.186 * [taylor]: Taking taylor expansion of 2.0 in y
0.186 * [backup-simplify]: Simplify 2.0 into 2.0
0.186 * [taylor]: Taking taylor expansion of (* x y) in y
0.186 * [taylor]: Taking taylor expansion of x in y
0.186 * [backup-simplify]: Simplify x into x
0.186 * [taylor]: Taking taylor expansion of y in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
0.186 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.186 * [taylor]: Taking taylor expansion of y in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.186 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
0.186 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.186 * [taylor]: Taking taylor expansion of x in y
0.186 * [backup-simplify]: Simplify x into x
0.186 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
0.186 * [taylor]: Taking taylor expansion of 2.0 in y
0.186 * [backup-simplify]: Simplify 2.0 into 2.0
0.186 * [taylor]: Taking taylor expansion of (* x y) in y
0.186 * [taylor]: Taking taylor expansion of x in y
0.186 * [backup-simplify]: Simplify x into x
0.186 * [taylor]: Taking taylor expansion of y in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify 1 into 1
0.187 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.187 * [backup-simplify]: Simplify (* x 0) into 0
0.188 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.189 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.189 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.189 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.189 * [taylor]: Taking taylor expansion of x in x
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.189 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.190 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x)
0.190 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
0.190 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
0.190 * [taylor]: Taking taylor expansion of (* 2.0 x) in x
0.190 * [taylor]: Taking taylor expansion of 2.0 in x
0.190 * [backup-simplify]: Simplify 2.0 into 2.0
0.190 * [taylor]: Taking taylor expansion of x in x
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.190 * [backup-simplify]: Simplify (* 2.0 0) into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify (* 1 1) into 1
0.191 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.192 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0
0.192 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (+ 1 0) into 1
0.193 * [taylor]: Taking taylor expansion of 1 in x
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
0.194 * [backup-simplify]: Simplify 2.0 into 2.0
0.194 * [backup-simplify]: Simplify (* 1 1) into 1
0.194 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
0.195 * [backup-simplify]: Simplify (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (+ (/ 1 x) (* (/ 1 y) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))
0.195 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.195 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.195 * [taylor]: Taking taylor expansion of y in x
0.195 * [backup-simplify]: Simplify y into y
0.195 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.195 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.195 * [taylor]: Taking taylor expansion of x in x
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (* 1 1) into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
0.196 * [taylor]: Taking taylor expansion of 2.0 in x
0.196 * [backup-simplify]: Simplify 2.0 into 2.0
0.196 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.196 * [taylor]: Taking taylor expansion of (* x y) in x
0.196 * [taylor]: Taking taylor expansion of x in x
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [taylor]: Taking taylor expansion of y in x
0.196 * [backup-simplify]: Simplify y into y
0.196 * [backup-simplify]: Simplify (* 0 y) into 0
0.196 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.196 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.197 * [taylor]: Taking taylor expansion of y in y
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (* 1 1) into 1
0.197 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.197 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.197 * [taylor]: Taking taylor expansion of x in y
0.197 * [backup-simplify]: Simplify x into x
0.197 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.197 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
0.197 * [taylor]: Taking taylor expansion of 2.0 in y
0.197 * [backup-simplify]: Simplify 2.0 into 2.0
0.197 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.197 * [taylor]: Taking taylor expansion of (* x y) in y
0.197 * [taylor]: Taking taylor expansion of x in y
0.197 * [backup-simplify]: Simplify x into x
0.197 * [taylor]: Taking taylor expansion of y in y
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (* x 0) into 0
0.198 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.198 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.198 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.198 * [taylor]: Taking taylor expansion of y in y
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (* 1 1) into 1
0.198 * [backup-simplify]: Simplify (/ 1 1) into 1
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.198 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.198 * [taylor]: Taking taylor expansion of x in y
0.198 * [backup-simplify]: Simplify x into x
0.199 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
0.199 * [taylor]: Taking taylor expansion of 2.0 in y
0.199 * [backup-simplify]: Simplify 2.0 into 2.0
0.199 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.199 * [taylor]: Taking taylor expansion of (* x y) in y
0.199 * [taylor]: Taking taylor expansion of x in y
0.199 * [backup-simplify]: Simplify x into x
0.199 * [taylor]: Taking taylor expansion of y in y
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.199 * [backup-simplify]: Simplify (* x 0) into 0
0.199 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.199 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.199 * [backup-simplify]: Simplify (+ 1 0) into 1
0.199 * [taylor]: Taking taylor expansion of 1 in x
0.199 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
0.200 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
0.201 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
0.201 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.201 * [taylor]: Taking taylor expansion of 2.0 in x
0.201 * [backup-simplify]: Simplify 2.0 into 2.0
0.201 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.201 * [taylor]: Taking taylor expansion of x in x
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.201 * [backup-simplify]: Simplify (/ 1 1) into 1
0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0
0.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.203 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0
0.203 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
0.203 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.203 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.203 * [taylor]: Taking taylor expansion of x in x
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (* 1 1) into 1
0.204 * [backup-simplify]: Simplify (/ 1 1) into 1
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
0.204 * [backup-simplify]: Simplify 2.0 into 2.0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
0.205 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (+ (/ 1 (- x)) (* (/ 1 (- y)) 2.0)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))
0.205 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.205 * [taylor]: Taking taylor expansion of y in x
0.205 * [backup-simplify]: Simplify y into y
0.205 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.205 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.205 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.205 * [taylor]: Taking taylor expansion of x in x
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* 1 1) into 1
0.206 * [backup-simplify]: Simplify (/ 1 1) into 1
0.206 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
0.206 * [taylor]: Taking taylor expansion of 2.0 in x
0.206 * [backup-simplify]: Simplify 2.0 into 2.0
0.206 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
0.206 * [taylor]: Taking taylor expansion of (* x y) in x
0.206 * [taylor]: Taking taylor expansion of x in x
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [taylor]: Taking taylor expansion of y in x
0.206 * [backup-simplify]: Simplify y into y
0.206 * [backup-simplify]: Simplify (* 0 y) into 0
0.206 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
0.206 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
0.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.206 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.206 * [taylor]: Taking taylor expansion of y in y
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (/ 1 1) into 1
0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.207 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.207 * [taylor]: Taking taylor expansion of x in y
0.207 * [backup-simplify]: Simplify x into x
0.207 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.207 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.207 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
0.207 * [taylor]: Taking taylor expansion of 2.0 in y
0.207 * [backup-simplify]: Simplify 2.0 into 2.0
0.208 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.208 * [taylor]: Taking taylor expansion of (* x y) in y
0.208 * [taylor]: Taking taylor expansion of x in y
0.208 * [backup-simplify]: Simplify x into x
0.208 * [taylor]: Taking taylor expansion of y in y
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (* x 0) into 0
0.208 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.208 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.208 * [taylor]: Taking taylor expansion of y in y
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.209 * [backup-simplify]: Simplify (/ 1 1) into 1
0.209 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.209 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.209 * [taylor]: Taking taylor expansion of x in y
0.209 * [backup-simplify]: Simplify x into x
0.209 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.209 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
0.209 * [taylor]: Taking taylor expansion of 2.0 in y
0.209 * [backup-simplify]: Simplify 2.0 into 2.0
0.209 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
0.209 * [taylor]: Taking taylor expansion of (* x y) in y
0.209 * [taylor]: Taking taylor expansion of x in y
0.209 * [backup-simplify]: Simplify x into x
0.209 * [taylor]: Taking taylor expansion of y in y
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 1 into 1
0.210 * [backup-simplify]: Simplify (* x 0) into 0
0.210 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
0.210 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.210 * [backup-simplify]: Simplify (+ 1 0) into 1
0.210 * [taylor]: Taking taylor expansion of 1 in x
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
0.212 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
0.212 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
0.212 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
0.212 * [taylor]: Taking taylor expansion of 2.0 in x
0.212 * [backup-simplify]: Simplify 2.0 into 2.0
0.212 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.212 * [taylor]: Taking taylor expansion of x in x
0.212 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify 1 into 1
0.213 * [backup-simplify]: Simplify (/ 1 1) into 1
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.215 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0
0.216 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
0.216 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.216 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.216 * [taylor]: Taking taylor expansion of x in x
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
0.217 * [backup-simplify]: Simplify 2.0 into 2.0
0.217 * [backup-simplify]: Simplify 1 into 1
0.218 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
0.218 * * * [progress]: simplifying candidates
0.219 * [simplify]: Simplifying:
  (* x (+ x (* y 2.0)))
  (+ (log x) (log (+ x (* y 2.0))))
  (log (* x (+ x (* y 2.0))))
  (exp (* x (+ x (* y 2.0))))
  (* (* (* x x) x) (* (* (+ x (* y 2.0)) (+ x (* y 2.0))) (+ x (* y 2.0))))
  (* (cbrt (* x (+ x (* y 2.0)))) (cbrt (* x (+ x (* y 2.0)))))
  (cbrt (* x (+ x (* y 2.0))))
  (* (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* x (+ x (* y 2.0))))
  (sqrt (* x (+ x (* y 2.0))))
  (sqrt (* x (+ x (* y 2.0))))
  (* (sqrt x) (sqrt (+ x (* y 2.0))))
  (* (sqrt x) (sqrt (+ x (* y 2.0))))
  (* x x)
  (* x (* y 2.0))
  (* x x)
  (* (* y 2.0) x)
  (* x (* (cbrt (+ x (* y 2.0))) (cbrt (+ x (* y 2.0)))))
  (* x (sqrt (+ x (* y 2.0))))
  (* x 1)
  (* (cbrt x) (+ x (* y 2.0)))
  (* (sqrt x) (+ x (* y 2.0)))
  (* x (+ x (* y 2.0)))
  (* x (+ (pow x 3) (pow (* y 2.0) 3)))
  (* x (- (* x x) (* (* y 2.0) (* y 2.0))))
  (* (exp (* y y)) (exp (* x (+ x (* y 2.0)))))
  (log (+ (* y y) (* x (+ x (* y 2.0)))))
  (exp (+ (* y y) (* x (+ x (* y 2.0)))))
  (* (cbrt (+ (* y y) (* x (+ x (* y 2.0))))) (cbrt (+ (* y y) (* x (+ x (* y 2.0))))))
  (cbrt (+ (* y y) (* x (+ x (* y 2.0)))))
  (* (* (+ (* y y) (* x (+ x (* y 2.0)))) (+ (* y y) (* x (+ x (* y 2.0))))) (+ (* y y) (* x (+ x (* y 2.0)))))
  (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
  (sqrt (+ (* y y) (* x (+ x (* y 2.0)))))
  (+ (pow (* y y) 3) (pow (* x (+ x (* y 2.0))) 3))
  (+ (* (* y y) (* y y)) (- (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))) (* (* y y) (* x (+ x (* y 2.0))))))
  (- (* (* y y) (* y y)) (* (* x (+ x (* y 2.0))) (* x (+ x (* y 2.0)))))
  (- (* y y) (* x (+ x (* y 2.0))))
  (+ (* y y) (* x x))
  (+ (* y y) (* x x))
  (+ (pow x 2) (* 2.0 (* x y)))
  (+ (pow x 2) (* 2.0 (* x y)))
  (+ (pow x 2) (* 2.0 (* x y)))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
0.220 * * [simplify]: iteration 0: 71 enodes
0.258 * * [simplify]: iteration 1: 247 enodes
0.382 * * [simplify]: iteration 2: 1408 enodes
0.746 * * [simplify]: iteration complete: 5000 enodes
0.746 * * [simplify]: Extracting #0: cost 31 inf + 0
0.747 * * [simplify]: Extracting #1: cost 470 inf + 4
0.750 * * [simplify]: Extracting #2: cost 1640 inf + 200
0.756 * * [simplify]: Extracting #3: cost 2034 inf + 1721
0.765 * * [simplify]: Extracting #4: cost 1098 inf + 11457
0.779 * * [simplify]: Extracting #5: cost 109 inf + 25061
0.791 * * [simplify]: Extracting #6: cost 5 inf + 26298
0.806 * * [simplify]: Extracting #7: cost 0 inf + 26333
0.821 * [simplify]: Simplified to:
  (* x (+ x (* 2.0 y)))
  (log (* x (+ x (* 2.0 y))))
  (log (* x (+ x (* 2.0 y))))
  (pow (exp x) (+ x (* 2.0 y)))
  (pow (* x (+ x (* 2.0 y))) 3)
  (* (cbrt (* x (+ x (* 2.0 y)))) (cbrt (* x (+ x (* 2.0 y)))))
  (cbrt (* x (+ x (* 2.0 y))))
  (pow (* x (+ x (* 2.0 y))) 3)
  (sqrt (* x (+ x (* 2.0 y))))
  (sqrt (* x (+ x (* 2.0 y))))
  (* (sqrt x) (sqrt (+ x (* 2.0 y))))
  (* (sqrt x) (sqrt (+ x (* 2.0 y))))
  (* x x)
  (* y (* 2.0 x))
  (* x x)
  (* (* x 2.0) y)
  (* (* (cbrt (+ x (* 2.0 y))) (cbrt (+ x (* 2.0 y)))) x)
  (* x (sqrt (+ x (* 2.0 y))))
  x
  (* (cbrt x) (+ x (* 2.0 y)))
  (* (sqrt x) (+ x (* 2.0 y)))
  (* x (+ x (* 2.0 y)))
  (* (+ (pow x 3) (pow (* 2.0 y) 3)) x)
  (* (- (* x x) (* (* (* 2.0 y) y) 2.0)) x)
  (exp (+ (pow y 2) (* x (+ x (* 2.0 y)))))
  (log (+ (* x (+ x (* 2.0 y))) (pow y 2)))
  (exp (+ (pow y 2) (* x (+ x (* 2.0 y)))))
  (* (cbrt (+ (* x (+ x (* 2.0 y))) (pow y 2))) (cbrt (+ (* x (+ x (* 2.0 y))) (pow y 2))))
  (cbrt (+ (* x (+ x (* 2.0 y))) (pow y 2)))
  (pow (+ (* x (+ x (* 2.0 y))) (pow y 2)) 3)
  (sqrt (+ (* x (+ x (* 2.0 y))) (pow y 2)))
  (sqrt (+ (* x (+ x (* 2.0 y))) (pow y 2)))
  (+ (pow (* x (+ x (* 2.0 y))) 3) (pow y 6))
  (+ (pow y 4) (* (* x (+ x (* 2.0 y))) (- (* x (+ x (* 2.0 y))) (pow y 2))))
  (- (pow y 4) (* (* x (+ x (* 2.0 y))) (* x (+ x (* 2.0 y)))))
  (- (pow y 2) (* x (+ x (* 2.0 y))))
  (+ (pow y 2) (* x x))
  (+ (pow y 2) (* x x))
  (+ (* y (* x 2.0)) (* x x))
  (+ (* y (* x 2.0)) (* x x))
  (+ (* y (* x 2.0)) (* x x))
  (+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))
  (+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))
  (+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))
0.821 * * * [progress]: adding candidates to table
1.012 * * [progress]: iteration 2 / 4
1.012 * * * [progress]: picking best candidate
1.039 * * * * [pick]: Picked  #<alt (λ (x y) (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))>
1.039 * * * [progress]: localizing error
1.064 * * * [progress]: generating rewritten candidates
1.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
1.102 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
1.122 * * * [progress]: generating series expansions
1.122 * * * * [progress]: [ 1 / 2 ] generating series at (2)
1.122 * [backup-simplify]: Simplify (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
1.122 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (y x) around 0
1.122 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
1.122 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.123 * [taylor]: Taking taylor expansion of y in x
1.123 * [backup-simplify]: Simplify y into y
1.123 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
1.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.123 * [taylor]: Taking taylor expansion of x in x
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify 1 into 1
1.123 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
1.123 * [taylor]: Taking taylor expansion of 2.0 in x
1.123 * [backup-simplify]: Simplify 2.0 into 2.0
1.123 * [taylor]: Taking taylor expansion of (* x y) in x
1.123 * [taylor]: Taking taylor expansion of x in x
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify 1 into 1
1.123 * [taylor]: Taking taylor expansion of y in x
1.123 * [backup-simplify]: Simplify y into y
1.123 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
1.123 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.123 * [taylor]: Taking taylor expansion of y in y
1.123 * [backup-simplify]: Simplify 0 into 0
1.123 * [backup-simplify]: Simplify 1 into 1
1.123 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
1.123 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.123 * [taylor]: Taking taylor expansion of x in y
1.123 * [backup-simplify]: Simplify x into x
1.123 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
1.123 * [taylor]: Taking taylor expansion of 2.0 in y
1.124 * [backup-simplify]: Simplify 2.0 into 2.0
1.124 * [taylor]: Taking taylor expansion of (* x y) in y
1.124 * [taylor]: Taking taylor expansion of x in y
1.124 * [backup-simplify]: Simplify x into x
1.124 * [taylor]: Taking taylor expansion of y in y
1.124 * [backup-simplify]: Simplify 0 into 0
1.124 * [backup-simplify]: Simplify 1 into 1
1.124 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
1.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.124 * [taylor]: Taking taylor expansion of y in y
1.124 * [backup-simplify]: Simplify 0 into 0
1.124 * [backup-simplify]: Simplify 1 into 1
1.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
1.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.124 * [taylor]: Taking taylor expansion of x in y
1.124 * [backup-simplify]: Simplify x into x
1.124 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
1.124 * [taylor]: Taking taylor expansion of 2.0 in y
1.124 * [backup-simplify]: Simplify 2.0 into 2.0
1.124 * [taylor]: Taking taylor expansion of (* x y) in y
1.124 * [taylor]: Taking taylor expansion of x in y
1.124 * [backup-simplify]: Simplify x into x
1.124 * [taylor]: Taking taylor expansion of y in y
1.124 * [backup-simplify]: Simplify 0 into 0
1.124 * [backup-simplify]: Simplify 1 into 1
1.124 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.124 * [backup-simplify]: Simplify (* x 0) into 0
1.125 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.125 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.126 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.126 * [taylor]: Taking taylor expansion of x in x
1.126 * [backup-simplify]: Simplify 0 into 0
1.126 * [backup-simplify]: Simplify 1 into 1
1.126 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.126 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.127 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x)
1.127 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
1.127 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
1.127 * [taylor]: Taking taylor expansion of (* 2.0 x) in x
1.127 * [taylor]: Taking taylor expansion of 2.0 in x
1.127 * [backup-simplify]: Simplify 2.0 into 2.0
1.127 * [taylor]: Taking taylor expansion of x in x
1.127 * [backup-simplify]: Simplify 0 into 0
1.127 * [backup-simplify]: Simplify 1 into 1
1.128 * [backup-simplify]: Simplify (* 2.0 0) into 0
1.128 * [backup-simplify]: Simplify 0 into 0
1.128 * [backup-simplify]: Simplify (* 1 1) into 1
1.129 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
1.129 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0
1.130 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 x) (* 0 0))) into 0
1.131 * [backup-simplify]: Simplify (+ 0 0) into 0
1.131 * [backup-simplify]: Simplify (+ 1 0) into 1
1.131 * [taylor]: Taking taylor expansion of 1 in x
1.131 * [backup-simplify]: Simplify 1 into 1
1.131 * [backup-simplify]: Simplify 1 into 1
1.133 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
1.133 * [backup-simplify]: Simplify 2.0 into 2.0
1.133 * [backup-simplify]: Simplify (* 1 1) into 1
1.133 * [backup-simplify]: Simplify 1 into 1
1.134 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (+ (* 2.0 (* x y)) (* 1 (pow (* 1 y) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
1.135 * [backup-simplify]: Simplify (+ (* (/ 1 y) (* (/ 1 x) 2.0)) (+ (pow (/ 1 y) 2) (* (/ 1 x) (/ 1 x)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))
1.135 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0
1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.135 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.135 * [taylor]: Taking taylor expansion of y in x
1.135 * [backup-simplify]: Simplify y into y
1.135 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
1.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.135 * [taylor]: Taking taylor expansion of x in x
1.135 * [backup-simplify]: Simplify 0 into 0
1.135 * [backup-simplify]: Simplify 1 into 1
1.136 * [backup-simplify]: Simplify (* 1 1) into 1
1.136 * [backup-simplify]: Simplify (/ 1 1) into 1
1.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
1.136 * [taylor]: Taking taylor expansion of 2.0 in x
1.136 * [backup-simplify]: Simplify 2.0 into 2.0
1.136 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.136 * [taylor]: Taking taylor expansion of (* x y) in x
1.136 * [taylor]: Taking taylor expansion of x in x
1.136 * [backup-simplify]: Simplify 0 into 0
1.136 * [backup-simplify]: Simplify 1 into 1
1.136 * [taylor]: Taking taylor expansion of y in x
1.136 * [backup-simplify]: Simplify y into y
1.136 * [backup-simplify]: Simplify (* 0 y) into 0
1.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.137 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.137 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.137 * [taylor]: Taking taylor expansion of y in y
1.137 * [backup-simplify]: Simplify 0 into 0
1.137 * [backup-simplify]: Simplify 1 into 1
1.137 * [backup-simplify]: Simplify (* 1 1) into 1
1.138 * [backup-simplify]: Simplify (/ 1 1) into 1
1.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.138 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.138 * [taylor]: Taking taylor expansion of x in y
1.138 * [backup-simplify]: Simplify x into x
1.138 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.138 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.138 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
1.138 * [taylor]: Taking taylor expansion of 2.0 in y
1.138 * [backup-simplify]: Simplify 2.0 into 2.0
1.138 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
1.138 * [taylor]: Taking taylor expansion of (* x y) in y
1.138 * [taylor]: Taking taylor expansion of x in y
1.138 * [backup-simplify]: Simplify x into x
1.138 * [taylor]: Taking taylor expansion of y in y
1.139 * [backup-simplify]: Simplify 0 into 0
1.139 * [backup-simplify]: Simplify 1 into 1
1.139 * [backup-simplify]: Simplify (* x 0) into 0
1.139 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.139 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
1.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.139 * [taylor]: Taking taylor expansion of y in y
1.139 * [backup-simplify]: Simplify 0 into 0
1.139 * [backup-simplify]: Simplify 1 into 1
1.140 * [backup-simplify]: Simplify (* 1 1) into 1
1.140 * [backup-simplify]: Simplify (/ 1 1) into 1
1.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
1.140 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.140 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.140 * [taylor]: Taking taylor expansion of x in y
1.140 * [backup-simplify]: Simplify x into x
1.140 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.140 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
1.141 * [taylor]: Taking taylor expansion of 2.0 in y
1.141 * [backup-simplify]: Simplify 2.0 into 2.0
1.141 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
1.141 * [taylor]: Taking taylor expansion of (* x y) in y
1.141 * [taylor]: Taking taylor expansion of x in y
1.141 * [backup-simplify]: Simplify x into x
1.141 * [taylor]: Taking taylor expansion of y in y
1.141 * [backup-simplify]: Simplify 0 into 0
1.141 * [backup-simplify]: Simplify 1 into 1
1.141 * [backup-simplify]: Simplify (* x 0) into 0
1.141 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.141 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.142 * [backup-simplify]: Simplify (+ 1 0) into 1
1.142 * [taylor]: Taking taylor expansion of 1 in x
1.142 * [backup-simplify]: Simplify 1 into 1
1.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.143 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
1.143 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
1.144 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
1.144 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
1.144 * [taylor]: Taking taylor expansion of 2.0 in x
1.144 * [backup-simplify]: Simplify 2.0 into 2.0
1.144 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.144 * [taylor]: Taking taylor expansion of x in x
1.144 * [backup-simplify]: Simplify 0 into 0
1.144 * [backup-simplify]: Simplify 1 into 1
1.144 * [backup-simplify]: Simplify (/ 1 1) into 1
1.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.146 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0
1.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.147 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0
1.147 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
1.147 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
1.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.147 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.147 * [taylor]: Taking taylor expansion of x in x
1.147 * [backup-simplify]: Simplify 0 into 0
1.147 * [backup-simplify]: Simplify 1 into 1
1.147 * [backup-simplify]: Simplify (* 1 1) into 1
1.148 * [backup-simplify]: Simplify (/ 1 1) into 1
1.148 * [backup-simplify]: Simplify 1 into 1
1.148 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.148 * [backup-simplify]: Simplify 2.0 into 2.0
1.148 * [backup-simplify]: Simplify 1 into 1
1.148 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 x)) (/ 1 (/ 1 y)))) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
1.151 * [backup-simplify]: Simplify (+ (* (/ 1 (- y)) (* (/ 1 (- x)) 2.0)) (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- x)) (/ 1 (- x))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))
1.151 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (y x) around 0
1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.152 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.152 * [taylor]: Taking taylor expansion of y in x
1.152 * [backup-simplify]: Simplify y into y
1.152 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.152 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
1.152 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.152 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.152 * [taylor]: Taking taylor expansion of x in x
1.152 * [backup-simplify]: Simplify 0 into 0
1.152 * [backup-simplify]: Simplify 1 into 1
1.152 * [backup-simplify]: Simplify (* 1 1) into 1
1.153 * [backup-simplify]: Simplify (/ 1 1) into 1
1.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
1.153 * [taylor]: Taking taylor expansion of 2.0 in x
1.153 * [backup-simplify]: Simplify 2.0 into 2.0
1.153 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
1.153 * [taylor]: Taking taylor expansion of (* x y) in x
1.153 * [taylor]: Taking taylor expansion of x in x
1.153 * [backup-simplify]: Simplify 0 into 0
1.153 * [backup-simplify]: Simplify 1 into 1
1.153 * [taylor]: Taking taylor expansion of y in x
1.153 * [backup-simplify]: Simplify y into y
1.153 * [backup-simplify]: Simplify (* 0 y) into 0
1.153 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
1.153 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
1.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.153 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.153 * [taylor]: Taking taylor expansion of y in y
1.153 * [backup-simplify]: Simplify 0 into 0
1.153 * [backup-simplify]: Simplify 1 into 1
1.153 * [backup-simplify]: Simplify (* 1 1) into 1
1.154 * [backup-simplify]: Simplify (/ 1 1) into 1
1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.154 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.154 * [taylor]: Taking taylor expansion of x in y
1.154 * [backup-simplify]: Simplify x into x
1.154 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.154 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.154 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
1.154 * [taylor]: Taking taylor expansion of 2.0 in y
1.154 * [backup-simplify]: Simplify 2.0 into 2.0
1.154 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
1.154 * [taylor]: Taking taylor expansion of (* x y) in y
1.154 * [taylor]: Taking taylor expansion of x in y
1.154 * [backup-simplify]: Simplify x into x
1.154 * [taylor]: Taking taylor expansion of y in y
1.154 * [backup-simplify]: Simplify 0 into 0
1.154 * [backup-simplify]: Simplify 1 into 1
1.154 * [backup-simplify]: Simplify (* x 0) into 0
1.154 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.154 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
1.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.154 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.154 * [taylor]: Taking taylor expansion of y in y
1.154 * [backup-simplify]: Simplify 0 into 0
1.154 * [backup-simplify]: Simplify 1 into 1
1.155 * [backup-simplify]: Simplify (* 1 1) into 1
1.155 * [backup-simplify]: Simplify (/ 1 1) into 1
1.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
1.155 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.155 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.155 * [taylor]: Taking taylor expansion of x in y
1.155 * [backup-simplify]: Simplify x into x
1.155 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.155 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.155 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
1.155 * [taylor]: Taking taylor expansion of 2.0 in y
1.155 * [backup-simplify]: Simplify 2.0 into 2.0
1.155 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
1.155 * [taylor]: Taking taylor expansion of (* x y) in y
1.155 * [taylor]: Taking taylor expansion of x in y
1.155 * [backup-simplify]: Simplify x into x
1.155 * [taylor]: Taking taylor expansion of y in y
1.155 * [backup-simplify]: Simplify 0 into 0
1.155 * [backup-simplify]: Simplify 1 into 1
1.155 * [backup-simplify]: Simplify (* x 0) into 0
1.156 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
1.156 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.156 * [backup-simplify]: Simplify (+ 1 0) into 1
1.156 * [taylor]: Taking taylor expansion of 1 in x
1.156 * [backup-simplify]: Simplify 1 into 1
1.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.157 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
1.157 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
1.157 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
1.157 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 x)) in x
1.157 * [taylor]: Taking taylor expansion of 2.0 in x
1.157 * [backup-simplify]: Simplify 2.0 into 2.0
1.157 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.157 * [taylor]: Taking taylor expansion of x in x
1.157 * [backup-simplify]: Simplify 0 into 0
1.157 * [backup-simplify]: Simplify 1 into 1
1.157 * [backup-simplify]: Simplify (/ 1 1) into 1
1.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.159 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 1) (* 0 0))) into 0
1.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.159 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 x))) into 0
1.160 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
1.160 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
1.160 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.160 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.160 * [taylor]: Taking taylor expansion of x in x
1.160 * [backup-simplify]: Simplify 0 into 0
1.160 * [backup-simplify]: Simplify 1 into 1
1.160 * [backup-simplify]: Simplify (* 1 1) into 1
1.160 * [backup-simplify]: Simplify (/ 1 1) into 1
1.160 * [backup-simplify]: Simplify 1 into 1
1.161 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
1.161 * [backup-simplify]: Simplify 2.0 into 2.0
1.161 * [backup-simplify]: Simplify 1 into 1
1.161 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- x))) (/ 1 (/ 1 (- y))))) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
1.161 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
1.161 * [backup-simplify]: Simplify (+ (pow y 2) (* x x)) into (+ (pow y 2) (pow x 2))
1.161 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (y x) around 0
1.161 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
1.161 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.161 * [taylor]: Taking taylor expansion of y in x
1.161 * [backup-simplify]: Simplify y into y
1.161 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.162 * [taylor]: Taking taylor expansion of x in x
1.162 * [backup-simplify]: Simplify 0 into 0
1.162 * [backup-simplify]: Simplify 1 into 1
1.162 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.162 * [taylor]: Taking taylor expansion of y in y
1.162 * [backup-simplify]: Simplify 0 into 0
1.162 * [backup-simplify]: Simplify 1 into 1
1.162 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.162 * [taylor]: Taking taylor expansion of x in y
1.162 * [backup-simplify]: Simplify x into x
1.162 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
1.162 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.162 * [taylor]: Taking taylor expansion of y in y
1.162 * [backup-simplify]: Simplify 0 into 0
1.162 * [backup-simplify]: Simplify 1 into 1
1.162 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.162 * [taylor]: Taking taylor expansion of x in y
1.162 * [backup-simplify]: Simplify x into x
1.162 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.162 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
1.162 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.162 * [taylor]: Taking taylor expansion of x in x
1.162 * [backup-simplify]: Simplify 0 into 0
1.162 * [backup-simplify]: Simplify 1 into 1
1.162 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.162 * [backup-simplify]: Simplify (+ 0 0) into 0
1.162 * [taylor]: Taking taylor expansion of 0 in x
1.162 * [backup-simplify]: Simplify 0 into 0
1.162 * [backup-simplify]: Simplify 0 into 0
1.163 * [backup-simplify]: Simplify (* 1 1) into 1
1.163 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
1.163 * [backup-simplify]: Simplify (+ 1 0) into 1
1.163 * [taylor]: Taking taylor expansion of 1 in x
1.163 * [backup-simplify]: Simplify 1 into 1
1.163 * [backup-simplify]: Simplify 1 into 1
1.163 * [backup-simplify]: Simplify 0 into 0
1.164 * [backup-simplify]: Simplify (* 1 1) into 1
1.164 * [backup-simplify]: Simplify 1 into 1
1.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.164 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0
1.165 * [backup-simplify]: Simplify (+ 0 0) into 0
1.165 * [taylor]: Taking taylor expansion of 0 in x
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify 0 into 0
1.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.165 * [backup-simplify]: Simplify 0 into 0
1.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.167 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0
1.167 * [backup-simplify]: Simplify (+ 0 0) into 0
1.167 * [taylor]: Taking taylor expansion of 0 in x
1.167 * [backup-simplify]: Simplify 0 into 0
1.167 * [backup-simplify]: Simplify 0 into 0
1.167 * [backup-simplify]: Simplify 0 into 0
1.168 * [backup-simplify]: Simplify (+ (* 1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (+ (pow y 2) (pow x 2))
1.168 * [backup-simplify]: Simplify (+ (pow (/ 1 y) 2) (* (/ 1 x) (/ 1 x))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.168 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0
1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.168 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.168 * [taylor]: Taking taylor expansion of y in x
1.168 * [backup-simplify]: Simplify y into y
1.168 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.168 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.168 * [taylor]: Taking taylor expansion of x in x
1.169 * [backup-simplify]: Simplify 0 into 0
1.169 * [backup-simplify]: Simplify 1 into 1
1.169 * [backup-simplify]: Simplify (* 1 1) into 1
1.169 * [backup-simplify]: Simplify (/ 1 1) into 1
1.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.169 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.169 * [taylor]: Taking taylor expansion of y in y
1.169 * [backup-simplify]: Simplify 0 into 0
1.169 * [backup-simplify]: Simplify 1 into 1
1.170 * [backup-simplify]: Simplify (* 1 1) into 1
1.170 * [backup-simplify]: Simplify (/ 1 1) into 1
1.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.170 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.170 * [taylor]: Taking taylor expansion of x in y
1.170 * [backup-simplify]: Simplify x into x
1.170 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.170 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.171 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.171 * [taylor]: Taking taylor expansion of y in y
1.171 * [backup-simplify]: Simplify 0 into 0
1.171 * [backup-simplify]: Simplify 1 into 1
1.171 * [backup-simplify]: Simplify (* 1 1) into 1
1.171 * [backup-simplify]: Simplify (/ 1 1) into 1
1.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.171 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.171 * [taylor]: Taking taylor expansion of x in y
1.171 * [backup-simplify]: Simplify x into x
1.171 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.172 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.172 * [backup-simplify]: Simplify (+ 1 0) into 1
1.172 * [taylor]: Taking taylor expansion of 1 in x
1.172 * [backup-simplify]: Simplify 1 into 1
1.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.174 * [backup-simplify]: Simplify (+ 0 0) into 0
1.174 * [taylor]: Taking taylor expansion of 0 in x
1.174 * [backup-simplify]: Simplify 0 into 0
1.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.176 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
1.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.176 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.176 * [taylor]: Taking taylor expansion of x in x
1.176 * [backup-simplify]: Simplify 0 into 0
1.176 * [backup-simplify]: Simplify 1 into 1
1.176 * [backup-simplify]: Simplify (* 1 1) into 1
1.176 * [backup-simplify]: Simplify (/ 1 1) into 1
1.177 * [backup-simplify]: Simplify 1 into 1
1.177 * [backup-simplify]: Simplify 1 into 1
1.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.179 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.179 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
1.179 * [backup-simplify]: Simplify (+ 0 0) into 0
1.179 * [taylor]: Taking taylor expansion of 0 in x
1.179 * [backup-simplify]: Simplify 0 into 0
1.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.181 * [backup-simplify]: Simplify 0 into 0
1.181 * [backup-simplify]: Simplify 0 into 0
1.181 * [backup-simplify]: Simplify 0 into 0
1.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.183 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
1.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
1.184 * [backup-simplify]: Simplify (+ 0 0) into 0
1.184 * [taylor]: Taking taylor expansion of 0 in x
1.184 * [backup-simplify]: Simplify 0 into 0
1.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.186 * [backup-simplify]: Simplify 0 into 0
1.186 * [backup-simplify]: Simplify 0 into 0
1.186 * [backup-simplify]: Simplify 0 into 0
1.187 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* 1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (+ (pow y 2) (pow x 2))
1.187 * [backup-simplify]: Simplify (+ (pow (/ 1 (- y)) 2) (* (/ 1 (- x)) (/ 1 (- x)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
1.187 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0
1.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.187 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.187 * [taylor]: Taking taylor expansion of y in x
1.187 * [backup-simplify]: Simplify y into y
1.187 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.187 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.188 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.188 * [taylor]: Taking taylor expansion of x in x
1.188 * [backup-simplify]: Simplify 0 into 0
1.188 * [backup-simplify]: Simplify 1 into 1
1.188 * [backup-simplify]: Simplify (* 1 1) into 1
1.188 * [backup-simplify]: Simplify (/ 1 1) into 1
1.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.188 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.189 * [taylor]: Taking taylor expansion of y in y
1.189 * [backup-simplify]: Simplify 0 into 0
1.189 * [backup-simplify]: Simplify 1 into 1
1.189 * [backup-simplify]: Simplify (* 1 1) into 1
1.189 * [backup-simplify]: Simplify (/ 1 1) into 1
1.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.189 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.189 * [taylor]: Taking taylor expansion of x in y
1.189 * [backup-simplify]: Simplify x into x
1.189 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.190 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.190 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.190 * [taylor]: Taking taylor expansion of y in y
1.190 * [backup-simplify]: Simplify 0 into 0
1.190 * [backup-simplify]: Simplify 1 into 1
1.190 * [backup-simplify]: Simplify (* 1 1) into 1
1.190 * [backup-simplify]: Simplify (/ 1 1) into 1
1.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.191 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.191 * [taylor]: Taking taylor expansion of x in y
1.191 * [backup-simplify]: Simplify x into x
1.191 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.191 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.191 * [backup-simplify]: Simplify (+ 1 0) into 1
1.191 * [taylor]: Taking taylor expansion of 1 in x
1.191 * [backup-simplify]: Simplify 1 into 1
1.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.193 * [backup-simplify]: Simplify (+ 0 0) into 0
1.193 * [taylor]: Taking taylor expansion of 0 in x
1.193 * [backup-simplify]: Simplify 0 into 0
1.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.195 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
1.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.195 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.195 * [taylor]: Taking taylor expansion of x in x
1.195 * [backup-simplify]: Simplify 0 into 0
1.195 * [backup-simplify]: Simplify 1 into 1
1.195 * [backup-simplify]: Simplify (* 1 1) into 1
1.196 * [backup-simplify]: Simplify (/ 1 1) into 1
1.196 * [backup-simplify]: Simplify 1 into 1
1.196 * [backup-simplify]: Simplify 1 into 1
1.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.198 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
1.199 * [backup-simplify]: Simplify (+ 0 0) into 0
1.199 * [taylor]: Taking taylor expansion of 0 in x
1.199 * [backup-simplify]: Simplify 0 into 0
1.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.200 * [backup-simplify]: Simplify 0 into 0
1.200 * [backup-simplify]: Simplify 0 into 0
1.200 * [backup-simplify]: Simplify 0 into 0
1.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.202 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
1.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
1.203 * [backup-simplify]: Simplify (+ 0 0) into 0
1.203 * [taylor]: Taking taylor expansion of 0 in x
1.203 * [backup-simplify]: Simplify 0 into 0
1.204 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.205 * [backup-simplify]: Simplify 0 into 0
1.205 * [backup-simplify]: Simplify 0 into 0
1.205 * [backup-simplify]: Simplify 0 into 0
1.206 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (+ (pow y 2) (pow x 2))
1.206 * * * [progress]: simplifying candidates
1.207 * [simplify]: Simplifying:
  (* (exp (* y (* x 2.0))) (* (exp (pow y 2)) (exp (* x x))))
  (* (exp (* y (* x 2.0))) (exp (+ (pow y 2) (* x x))))
  (log (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))
  (exp (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))
  (* (cbrt (+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))) (cbrt (+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))))
  (cbrt (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))
  (* (* (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))) (+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))) (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))
  (sqrt (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))
  (sqrt (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))
  (+ (pow (* y (* x 2.0)) 3) (pow (+ (pow y 2) (* x x)) 3))
  (+ (* (* y (* x 2.0)) (* y (* x 2.0))) (- (* (+ (pow y 2) (* x x)) (+ (pow y 2) (* x x))) (* (* y (* x 2.0)) (+ (pow y 2) (* x x)))))
  (- (* (* y (* x 2.0)) (* y (* x 2.0))) (* (+ (pow y 2) (* x x)) (+ (pow y 2) (* x x))))
  (- (* y (* x 2.0)) (+ (pow y 2) (* x x)))
  (+ (* y (* x 2.0)) (pow y 2))
  (* (exp (pow y 2)) (exp (* x x)))
  (log (+ (pow y 2) (* x x)))
  (exp (+ (pow y 2) (* x x)))
  (* (cbrt (+ (pow y 2) (* x x))) (cbrt (+ (pow y 2) (* x x))))
  (cbrt (+ (pow y 2) (* x x)))
  (* (* (+ (pow y 2) (* x x)) (+ (pow y 2) (* x x))) (+ (pow y 2) (* x x)))
  (sqrt (+ (pow y 2) (* x x)))
  (sqrt (+ (pow y 2) (* x x)))
  (+ (pow (pow y 2) 3) (pow (* x x) 3))
  (+ (* (pow y 2) (pow y 2)) (- (* (* x x) (* x x)) (* (pow y 2) (* x x))))
  (- (* (pow y 2) (pow y 2)) (* (* x x) (* x x)))
  (- (pow y 2) (* x x))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
1.208 * * [simplify]: iteration 0: 57 enodes
1.222 * * [simplify]: iteration 1: 210 enodes
1.353 * * [simplify]: iteration 2: 1269 enodes
1.906 * * [simplify]: iteration complete: 5000 enodes
1.906 * * [simplify]: Extracting #0: cost 23 inf + 0
1.907 * * [simplify]: Extracting #1: cost 243 inf + 0
1.910 * * [simplify]: Extracting #2: cost 1533 inf + 39
1.916 * * [simplify]: Extracting #3: cost 1981 inf + 1393
1.923 * * [simplify]: Extracting #4: cost 708 inf + 14809
1.934 * * [simplify]: Extracting #5: cost 55 inf + 24954
1.948 * * [simplify]: Extracting #6: cost 8 inf + 25229
1.955 * * [simplify]: Extracting #7: cost 0 inf + 25289
1.963 * [simplify]: Simplified to:
  (exp (+ (* x x) (* y (+ y (* 2.0 x)))))
  (exp (+ (* x x) (* y (+ y (* 2.0 x)))))
  (log (+ (* x x) (* y (+ y (* 2.0 x)))))
  (exp (+ (* x x) (* y (+ y (* 2.0 x)))))
  (* (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))) (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (cbrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (pow (+ (* x x) (* y (+ y (* 2.0 x)))) 3)
  (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (+ (pow (* (* x y) 2.0) 3) (pow (+ (* x x) (* y y)) 3))
  (+ (* (* 2.0 2.0) (* (* x y) (* x y))) (* (+ (* x x) (* y y)) (- (+ (* x x) (* y y)) (* (* x y) 2.0))))
  (* (+ (* x x) (* y (+ y (* 2.0 x)))) (- (* y (- (* 2.0 x) y)) (* x x)))
  (- (* y (- (* 2.0 x) y)) (* x x))
  (* y (+ y (* 2.0 x)))
  (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 y) 3))
  (- (pow x 4) (- (* (* y x) (* y x)) (pow y 4)))
  (- (pow y 4) (pow x 4))
  (* (+ y x) (- y x))
  (+ (* x x) (* y (+ y (* 2.0 x))))
  (+ (* x x) (* y (+ y (* 2.0 x))))
  (+ (* x x) (* y (+ y (* 2.0 x))))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
1.963 * * * [progress]: adding candidates to table
2.061 * * [progress]: iteration 3 / 4
2.061 * * * [progress]: picking best candidate
2.071 * * * * [pick]: Picked  #<alt (λ (x y) (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))>
2.072 * * * [progress]: localizing error
2.089 * * * [progress]: generating rewritten candidates
2.090 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.103 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
2.116 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.185 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
2.197 * * * [progress]: generating series expansions
2.197 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.197 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))))
2.197 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in (x y) around 0
2.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y
2.197 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
2.197 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.197 * [taylor]: Taking taylor expansion of y in y
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 1 into 1
2.198 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
2.198 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.198 * [taylor]: Taking taylor expansion of x in y
2.198 * [backup-simplify]: Simplify x into x
2.198 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
2.198 * [taylor]: Taking taylor expansion of 2.0 in y
2.198 * [backup-simplify]: Simplify 2.0 into 2.0
2.198 * [taylor]: Taking taylor expansion of (* x y) in y
2.198 * [taylor]: Taking taylor expansion of x in y
2.198 * [backup-simplify]: Simplify x into x
2.198 * [taylor]: Taking taylor expansion of y in y
2.198 * [backup-simplify]: Simplify 0 into 0
2.198 * [backup-simplify]: Simplify 1 into 1
2.198 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.198 * [backup-simplify]: Simplify (* x 0) into 0
2.198 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.199 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.199 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.199 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.199 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.199 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.199 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x)
2.199 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
2.200 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
2.200 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0
2.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
2.200 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
2.200 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.200 * [taylor]: Taking taylor expansion of y in x
2.200 * [backup-simplify]: Simplify y into y
2.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
2.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.200 * [taylor]: Taking taylor expansion of x in x
2.200 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify 1 into 1
2.200 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
2.200 * [taylor]: Taking taylor expansion of 2.0 in x
2.200 * [backup-simplify]: Simplify 2.0 into 2.0
2.200 * [taylor]: Taking taylor expansion of (* x y) in x
2.200 * [taylor]: Taking taylor expansion of x in x
2.200 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify 1 into 1
2.200 * [taylor]: Taking taylor expansion of y in x
2.200 * [backup-simplify]: Simplify y into y
2.200 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.200 * [backup-simplify]: Simplify (* 0 y) into 0
2.200 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.201 * [backup-simplify]: Simplify (+ 0 0) into 0
2.201 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.201 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.201 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.201 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.201 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
2.201 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.202 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.202 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
2.202 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
2.202 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
2.202 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.202 * [taylor]: Taking taylor expansion of y in x
2.202 * [backup-simplify]: Simplify y into y
2.202 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
2.202 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.202 * [taylor]: Taking taylor expansion of x in x
2.202 * [backup-simplify]: Simplify 0 into 0
2.202 * [backup-simplify]: Simplify 1 into 1
2.202 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
2.202 * [taylor]: Taking taylor expansion of 2.0 in x
2.202 * [backup-simplify]: Simplify 2.0 into 2.0
2.202 * [taylor]: Taking taylor expansion of (* x y) in x
2.202 * [taylor]: Taking taylor expansion of x in x
2.202 * [backup-simplify]: Simplify 0 into 0
2.202 * [backup-simplify]: Simplify 1 into 1
2.202 * [taylor]: Taking taylor expansion of y in x
2.202 * [backup-simplify]: Simplify y into y
2.202 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.202 * [backup-simplify]: Simplify (* 0 y) into 0
2.202 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.203 * [backup-simplify]: Simplify (+ 0 0) into 0
2.203 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.203 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.203 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.203 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.203 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
2.203 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.203 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.204 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
2.204 * [taylor]: Taking taylor expansion of y in y
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify 1 into 1
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [taylor]: Taking taylor expansion of 1.0 in y
2.204 * [backup-simplify]: Simplify 1.0 into 1.0
2.204 * [backup-simplify]: Simplify 1.0 into 1.0
2.204 * [backup-simplify]: Simplify 1 into 1
2.204 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.204 * [backup-simplify]: Simplify (* 1 1) into 1
2.205 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.205 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0
2.206 * [backup-simplify]: Simplify (+ 1 0) into 1
2.206 * [backup-simplify]: Simplify (+ 0 1) into 1
2.207 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 y)) into 0
2.207 * [taylor]: Taking taylor expansion of 0 in y
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify 0 into 0
2.207 * [backup-simplify]: Simplify 0 into 0
2.208 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.209 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
2.210 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0
2.210 * [backup-simplify]: Simplify (+ 0 0) into 0
2.210 * [backup-simplify]: Simplify (+ 0 0) into 0
2.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0
2.211 * [taylor]: Taking taylor expansion of 0 in y
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ (* 1.0 x) y)
2.211 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
2.211 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
2.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
2.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
2.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.211 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.211 * [taylor]: Taking taylor expansion of y in y
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify 1 into 1
2.211 * [backup-simplify]: Simplify (* 1 1) into 1
2.212 * [backup-simplify]: Simplify (/ 1 1) into 1
2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.212 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.212 * [taylor]: Taking taylor expansion of x in y
2.212 * [backup-simplify]: Simplify x into x
2.212 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.212 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.212 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
2.212 * [taylor]: Taking taylor expansion of 2.0 in y
2.212 * [backup-simplify]: Simplify 2.0 into 2.0
2.212 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.212 * [taylor]: Taking taylor expansion of (* x y) in y
2.212 * [taylor]: Taking taylor expansion of x in y
2.212 * [backup-simplify]: Simplify x into x
2.212 * [taylor]: Taking taylor expansion of y in y
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify 1 into 1
2.212 * [backup-simplify]: Simplify (* x 0) into 0
2.212 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.212 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.213 * [backup-simplify]: Simplify (+ 1 0) into 1
2.213 * [backup-simplify]: Simplify (sqrt 1) into 1
2.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.214 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
2.214 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
2.214 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
2.214 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
2.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
2.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.214 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.214 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.214 * [taylor]: Taking taylor expansion of y in x
2.214 * [backup-simplify]: Simplify y into y
2.214 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.215 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.215 * [taylor]: Taking taylor expansion of x in x
2.215 * [backup-simplify]: Simplify 0 into 0
2.215 * [backup-simplify]: Simplify 1 into 1
2.215 * [backup-simplify]: Simplify (* 1 1) into 1
2.215 * [backup-simplify]: Simplify (/ 1 1) into 1
2.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.216 * [taylor]: Taking taylor expansion of 2.0 in x
2.216 * [backup-simplify]: Simplify 2.0 into 2.0
2.216 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.216 * [taylor]: Taking taylor expansion of (* x y) in x
2.216 * [taylor]: Taking taylor expansion of x in x
2.216 * [backup-simplify]: Simplify 0 into 0
2.216 * [backup-simplify]: Simplify 1 into 1
2.216 * [taylor]: Taking taylor expansion of y in x
2.216 * [backup-simplify]: Simplify y into y
2.216 * [backup-simplify]: Simplify (* 0 y) into 0
2.216 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.216 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.217 * [backup-simplify]: Simplify (+ 1 0) into 1
2.217 * [backup-simplify]: Simplify (+ 0 1) into 1
2.217 * [backup-simplify]: Simplify (sqrt 1) into 1
2.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.219 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.219 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.219 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.220 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
2.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.220 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.220 * [taylor]: Taking taylor expansion of y in x
2.220 * [backup-simplify]: Simplify y into y
2.220 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.220 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.220 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.220 * [taylor]: Taking taylor expansion of x in x
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 1 into 1
2.221 * [backup-simplify]: Simplify (* 1 1) into 1
2.221 * [backup-simplify]: Simplify (/ 1 1) into 1
2.221 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.221 * [taylor]: Taking taylor expansion of 2.0 in x
2.221 * [backup-simplify]: Simplify 2.0 into 2.0
2.221 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.221 * [taylor]: Taking taylor expansion of (* x y) in x
2.221 * [taylor]: Taking taylor expansion of x in x
2.221 * [backup-simplify]: Simplify 0 into 0
2.221 * [backup-simplify]: Simplify 1 into 1
2.221 * [taylor]: Taking taylor expansion of y in x
2.221 * [backup-simplify]: Simplify y into y
2.221 * [backup-simplify]: Simplify (* 0 y) into 0
2.222 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.222 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.222 * [backup-simplify]: Simplify (+ 1 0) into 1
2.223 * [backup-simplify]: Simplify (+ 0 1) into 1
2.223 * [backup-simplify]: Simplify (sqrt 1) into 1
2.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.224 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.224 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.224 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.225 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
2.225 * [taylor]: Taking taylor expansion of 1 in y
2.225 * [backup-simplify]: Simplify 1 into 1
2.225 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
2.225 * [taylor]: Taking taylor expansion of 1.0 in y
2.225 * [backup-simplify]: Simplify 1.0 into 1.0
2.225 * [taylor]: Taking taylor expansion of y in y
2.225 * [backup-simplify]: Simplify 0 into 0
2.225 * [backup-simplify]: Simplify 1 into 1
2.226 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
2.226 * [backup-simplify]: Simplify 1.0 into 1.0
2.226 * [backup-simplify]: Simplify 1 into 1
2.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.229 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
2.229 * [backup-simplify]: Simplify (+ 0 0) into 0
2.230 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.231 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
2.231 * [taylor]: Taking taylor expansion of 0 in y
2.231 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
2.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.236 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.237 * [backup-simplify]: Simplify (+ 0 0) into 0
2.237 * [backup-simplify]: Simplify (+ 0 0) into 0
2.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
2.238 * [taylor]: Taking taylor expansion of 0 in y
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.244 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.245 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
2.246 * [backup-simplify]: Simplify (+ 0 0) into 0
2.246 * [backup-simplify]: Simplify (+ 0 0) into 0
2.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
2.247 * [taylor]: Taking taylor expansion of 0 in y
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify 0 into 0
2.247 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1.0 y))
2.248 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
2.248 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
2.248 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
2.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
2.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.248 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.248 * [taylor]: Taking taylor expansion of y in y
2.248 * [backup-simplify]: Simplify 0 into 0
2.248 * [backup-simplify]: Simplify 1 into 1
2.248 * [backup-simplify]: Simplify (* 1 1) into 1
2.249 * [backup-simplify]: Simplify (/ 1 1) into 1
2.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.249 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.249 * [taylor]: Taking taylor expansion of x in y
2.249 * [backup-simplify]: Simplify x into x
2.249 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.249 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
2.249 * [taylor]: Taking taylor expansion of 2.0 in y
2.249 * [backup-simplify]: Simplify 2.0 into 2.0
2.249 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.249 * [taylor]: Taking taylor expansion of (* x y) in y
2.249 * [taylor]: Taking taylor expansion of x in y
2.249 * [backup-simplify]: Simplify x into x
2.249 * [taylor]: Taking taylor expansion of y in y
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 1 into 1
2.249 * [backup-simplify]: Simplify (* x 0) into 0
2.250 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.250 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.250 * [backup-simplify]: Simplify (+ 1 0) into 1
2.251 * [backup-simplify]: Simplify (sqrt 1) into 1
2.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.252 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
2.253 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
2.253 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
2.253 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
2.253 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
2.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.253 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.253 * [taylor]: Taking taylor expansion of y in x
2.253 * [backup-simplify]: Simplify y into y
2.253 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.254 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.254 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.254 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.254 * [taylor]: Taking taylor expansion of x in x
2.254 * [backup-simplify]: Simplify 0 into 0
2.254 * [backup-simplify]: Simplify 1 into 1
2.254 * [backup-simplify]: Simplify (* 1 1) into 1
2.254 * [backup-simplify]: Simplify (/ 1 1) into 1
2.255 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.255 * [taylor]: Taking taylor expansion of 2.0 in x
2.255 * [backup-simplify]: Simplify 2.0 into 2.0
2.255 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.255 * [taylor]: Taking taylor expansion of (* x y) in x
2.255 * [taylor]: Taking taylor expansion of x in x
2.255 * [backup-simplify]: Simplify 0 into 0
2.255 * [backup-simplify]: Simplify 1 into 1
2.255 * [taylor]: Taking taylor expansion of y in x
2.255 * [backup-simplify]: Simplify y into y
2.255 * [backup-simplify]: Simplify (* 0 y) into 0
2.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.255 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.256 * [backup-simplify]: Simplify (+ 1 0) into 1
2.256 * [backup-simplify]: Simplify (+ 0 1) into 1
2.256 * [backup-simplify]: Simplify (sqrt 1) into 1
2.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.258 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.258 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.258 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.259 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
2.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
2.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.259 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.259 * [taylor]: Taking taylor expansion of y in x
2.259 * [backup-simplify]: Simplify y into y
2.259 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.259 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.259 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.259 * [taylor]: Taking taylor expansion of x in x
2.259 * [backup-simplify]: Simplify 0 into 0
2.259 * [backup-simplify]: Simplify 1 into 1
2.260 * [backup-simplify]: Simplify (* 1 1) into 1
2.260 * [backup-simplify]: Simplify (/ 1 1) into 1
2.260 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.260 * [taylor]: Taking taylor expansion of 2.0 in x
2.260 * [backup-simplify]: Simplify 2.0 into 2.0
2.260 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.260 * [taylor]: Taking taylor expansion of (* x y) in x
2.260 * [taylor]: Taking taylor expansion of x in x
2.260 * [backup-simplify]: Simplify 0 into 0
2.260 * [backup-simplify]: Simplify 1 into 1
2.260 * [taylor]: Taking taylor expansion of y in x
2.260 * [backup-simplify]: Simplify y into y
2.260 * [backup-simplify]: Simplify (* 0 y) into 0
2.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.261 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.261 * [backup-simplify]: Simplify (+ 1 0) into 1
2.262 * [backup-simplify]: Simplify (+ 0 1) into 1
2.262 * [backup-simplify]: Simplify (sqrt 1) into 1
2.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.263 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.264 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.264 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.264 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
2.264 * [taylor]: Taking taylor expansion of 1 in y
2.264 * [backup-simplify]: Simplify 1 into 1
2.264 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
2.264 * [taylor]: Taking taylor expansion of 1.0 in y
2.264 * [backup-simplify]: Simplify 1.0 into 1.0
2.265 * [taylor]: Taking taylor expansion of y in y
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [backup-simplify]: Simplify 1 into 1
2.265 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
2.265 * [backup-simplify]: Simplify 1.0 into 1.0
2.265 * [backup-simplify]: Simplify 1 into 1
2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.268 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.268 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
2.269 * [backup-simplify]: Simplify (+ 0 0) into 0
2.269 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.270 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
2.270 * [taylor]: Taking taylor expansion of 0 in y
2.270 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify 0 into 0
2.271 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.274 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
2.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.275 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.275 * [backup-simplify]: Simplify (+ 0 0) into 0
2.276 * [backup-simplify]: Simplify (+ 0 0) into 0
2.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
2.276 * [taylor]: Taking taylor expansion of 0 in y
2.276 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 0 into 0
2.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.278 * [backup-simplify]: Simplify 0 into 0
2.278 * [backup-simplify]: Simplify 0 into 0
2.278 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.282 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.284 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
2.284 * [backup-simplify]: Simplify (+ 0 0) into 0
2.285 * [backup-simplify]: Simplify (+ 0 0) into 0
2.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
2.286 * [taylor]: Taking taylor expansion of 0 in y
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1.0 y)))
2.286 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
2.286 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))))
2.287 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in (x y) around 0
2.287 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y
2.287 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
2.287 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.287 * [taylor]: Taking taylor expansion of y in y
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 1 into 1
2.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
2.287 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.287 * [taylor]: Taking taylor expansion of x in y
2.287 * [backup-simplify]: Simplify x into x
2.287 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
2.287 * [taylor]: Taking taylor expansion of 2.0 in y
2.287 * [backup-simplify]: Simplify 2.0 into 2.0
2.287 * [taylor]: Taking taylor expansion of (* x y) in y
2.287 * [taylor]: Taking taylor expansion of x in y
2.287 * [backup-simplify]: Simplify x into x
2.287 * [taylor]: Taking taylor expansion of y in y
2.287 * [backup-simplify]: Simplify 0 into 0
2.287 * [backup-simplify]: Simplify 1 into 1
2.287 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.287 * [backup-simplify]: Simplify (* x 0) into 0
2.288 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.288 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.288 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
2.288 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.288 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.289 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.289 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x)
2.289 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
2.290 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
2.290 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0
2.290 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
2.290 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
2.290 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.290 * [taylor]: Taking taylor expansion of y in x
2.290 * [backup-simplify]: Simplify y into y
2.290 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
2.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.290 * [taylor]: Taking taylor expansion of x in x
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
2.290 * [taylor]: Taking taylor expansion of 2.0 in x
2.290 * [backup-simplify]: Simplify 2.0 into 2.0
2.290 * [taylor]: Taking taylor expansion of (* x y) in x
2.290 * [taylor]: Taking taylor expansion of x in x
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [taylor]: Taking taylor expansion of y in x
2.290 * [backup-simplify]: Simplify y into y
2.290 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.291 * [backup-simplify]: Simplify (* 0 y) into 0
2.291 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.291 * [backup-simplify]: Simplify (+ 0 0) into 0
2.292 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.292 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.292 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.292 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.293 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
2.293 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.293 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.293 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
2.293 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
2.293 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
2.293 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.293 * [taylor]: Taking taylor expansion of y in x
2.293 * [backup-simplify]: Simplify y into y
2.294 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
2.294 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.294 * [taylor]: Taking taylor expansion of x in x
2.294 * [backup-simplify]: Simplify 0 into 0
2.294 * [backup-simplify]: Simplify 1 into 1
2.294 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
2.294 * [taylor]: Taking taylor expansion of 2.0 in x
2.294 * [backup-simplify]: Simplify 2.0 into 2.0
2.294 * [taylor]: Taking taylor expansion of (* x y) in x
2.294 * [taylor]: Taking taylor expansion of x in x
2.294 * [backup-simplify]: Simplify 0 into 0
2.294 * [backup-simplify]: Simplify 1 into 1
2.294 * [taylor]: Taking taylor expansion of y in x
2.294 * [backup-simplify]: Simplify y into y
2.294 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.294 * [backup-simplify]: Simplify (* 0 y) into 0
2.295 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.295 * [backup-simplify]: Simplify (+ 0 0) into 0
2.295 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.295 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.295 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.296 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.296 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
2.296 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.296 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.297 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
2.297 * [taylor]: Taking taylor expansion of y in y
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [taylor]: Taking taylor expansion of 1.0 in y
2.297 * [backup-simplify]: Simplify 1.0 into 1.0
2.297 * [backup-simplify]: Simplify 1.0 into 1.0
2.297 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.298 * [backup-simplify]: Simplify (* 1 1) into 1
2.299 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.300 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0
2.301 * [backup-simplify]: Simplify (+ 1 0) into 1
2.301 * [backup-simplify]: Simplify (+ 0 1) into 1
2.303 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 y)) into 0
2.304 * [taylor]: Taking taylor expansion of 0 in y
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify 0 into 0
2.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.306 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
2.308 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0
2.308 * [backup-simplify]: Simplify (+ 0 0) into 0
2.308 * [backup-simplify]: Simplify (+ 0 0) into 0
2.309 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0
2.309 * [taylor]: Taking taylor expansion of 0 in y
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ (* 1.0 x) y)
2.310 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
2.310 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
2.310 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
2.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
2.310 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.310 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.310 * [taylor]: Taking taylor expansion of y in y
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [backup-simplify]: Simplify 1 into 1
2.311 * [backup-simplify]: Simplify (* 1 1) into 1
2.311 * [backup-simplify]: Simplify (/ 1 1) into 1
2.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.311 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.311 * [taylor]: Taking taylor expansion of x in y
2.311 * [backup-simplify]: Simplify x into x
2.311 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.312 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.312 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
2.312 * [taylor]: Taking taylor expansion of 2.0 in y
2.312 * [backup-simplify]: Simplify 2.0 into 2.0
2.312 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.312 * [taylor]: Taking taylor expansion of (* x y) in y
2.312 * [taylor]: Taking taylor expansion of x in y
2.312 * [backup-simplify]: Simplify x into x
2.312 * [taylor]: Taking taylor expansion of y in y
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify 1 into 1
2.312 * [backup-simplify]: Simplify (* x 0) into 0
2.312 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.312 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.313 * [backup-simplify]: Simplify (+ 1 0) into 1
2.313 * [backup-simplify]: Simplify (sqrt 1) into 1
2.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.315 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
2.315 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
2.315 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
2.316 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
2.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
2.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.316 * [taylor]: Taking taylor expansion of y in x
2.316 * [backup-simplify]: Simplify y into y
2.316 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.316 * [taylor]: Taking taylor expansion of x in x
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 1 into 1
2.317 * [backup-simplify]: Simplify (* 1 1) into 1
2.317 * [backup-simplify]: Simplify (/ 1 1) into 1
2.317 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.317 * [taylor]: Taking taylor expansion of 2.0 in x
2.317 * [backup-simplify]: Simplify 2.0 into 2.0
2.317 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.317 * [taylor]: Taking taylor expansion of (* x y) in x
2.317 * [taylor]: Taking taylor expansion of x in x
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 1 into 1
2.317 * [taylor]: Taking taylor expansion of y in x
2.317 * [backup-simplify]: Simplify y into y
2.317 * [backup-simplify]: Simplify (* 0 y) into 0
2.318 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.318 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.318 * [backup-simplify]: Simplify (+ 1 0) into 1
2.319 * [backup-simplify]: Simplify (+ 0 1) into 1
2.319 * [backup-simplify]: Simplify (sqrt 1) into 1
2.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.320 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.321 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.321 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.321 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
2.321 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
2.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.321 * [taylor]: Taking taylor expansion of y in x
2.322 * [backup-simplify]: Simplify y into y
2.322 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.322 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.322 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.322 * [taylor]: Taking taylor expansion of x in x
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (* 1 1) into 1
2.323 * [backup-simplify]: Simplify (/ 1 1) into 1
2.323 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.323 * [taylor]: Taking taylor expansion of 2.0 in x
2.323 * [backup-simplify]: Simplify 2.0 into 2.0
2.323 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.323 * [taylor]: Taking taylor expansion of (* x y) in x
2.323 * [taylor]: Taking taylor expansion of x in x
2.323 * [backup-simplify]: Simplify 0 into 0
2.323 * [backup-simplify]: Simplify 1 into 1
2.323 * [taylor]: Taking taylor expansion of y in x
2.323 * [backup-simplify]: Simplify y into y
2.323 * [backup-simplify]: Simplify (* 0 y) into 0
2.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.327 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.327 * [backup-simplify]: Simplify (+ 1 0) into 1
2.328 * [backup-simplify]: Simplify (+ 0 1) into 1
2.328 * [backup-simplify]: Simplify (sqrt 1) into 1
2.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.330 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.330 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.330 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.331 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
2.331 * [taylor]: Taking taylor expansion of 1 in y
2.331 * [backup-simplify]: Simplify 1 into 1
2.331 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
2.331 * [taylor]: Taking taylor expansion of 1.0 in y
2.331 * [backup-simplify]: Simplify 1.0 into 1.0
2.331 * [taylor]: Taking taylor expansion of y in y
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
2.332 * [backup-simplify]: Simplify 1.0 into 1.0
2.332 * [backup-simplify]: Simplify 1 into 1
2.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.335 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.335 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
2.336 * [backup-simplify]: Simplify (+ 0 0) into 0
2.336 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.337 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
2.337 * [taylor]: Taking taylor expansion of 0 in y
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
2.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.340 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.340 * [backup-simplify]: Simplify (+ 0 0) into 0
2.341 * [backup-simplify]: Simplify (+ 0 0) into 0
2.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
2.341 * [taylor]: Taking taylor expansion of 0 in y
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.344 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.345 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
2.346 * [backup-simplify]: Simplify (+ 0 0) into 0
2.346 * [backup-simplify]: Simplify (+ 0 0) into 0
2.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
2.347 * [taylor]: Taking taylor expansion of 0 in y
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify 0 into 0
2.347 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1.0 y))
2.348 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
2.348 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
2.348 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
2.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
2.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.348 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.348 * [taylor]: Taking taylor expansion of y in y
2.348 * [backup-simplify]: Simplify 0 into 0
2.348 * [backup-simplify]: Simplify 1 into 1
2.348 * [backup-simplify]: Simplify (* 1 1) into 1
2.348 * [backup-simplify]: Simplify (/ 1 1) into 1
2.348 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
2.348 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.348 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.348 * [taylor]: Taking taylor expansion of x in y
2.348 * [backup-simplify]: Simplify x into x
2.348 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.349 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.349 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
2.349 * [taylor]: Taking taylor expansion of 2.0 in y
2.349 * [backup-simplify]: Simplify 2.0 into 2.0
2.349 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.349 * [taylor]: Taking taylor expansion of (* x y) in y
2.349 * [taylor]: Taking taylor expansion of x in y
2.349 * [backup-simplify]: Simplify x into x
2.349 * [taylor]: Taking taylor expansion of y in y
2.349 * [backup-simplify]: Simplify 0 into 0
2.349 * [backup-simplify]: Simplify 1 into 1
2.349 * [backup-simplify]: Simplify (* x 0) into 0
2.349 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.349 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.349 * [backup-simplify]: Simplify (+ 1 0) into 1
2.350 * [backup-simplify]: Simplify (sqrt 1) into 1
2.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.351 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
2.351 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
2.351 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
2.351 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
2.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
2.351 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.351 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.351 * [taylor]: Taking taylor expansion of y in x
2.351 * [backup-simplify]: Simplify y into y
2.351 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.352 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.352 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.352 * [taylor]: Taking taylor expansion of x in x
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 1 into 1
2.352 * [backup-simplify]: Simplify (* 1 1) into 1
2.352 * [backup-simplify]: Simplify (/ 1 1) into 1
2.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.352 * [taylor]: Taking taylor expansion of 2.0 in x
2.352 * [backup-simplify]: Simplify 2.0 into 2.0
2.352 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.352 * [taylor]: Taking taylor expansion of (* x y) in x
2.353 * [taylor]: Taking taylor expansion of x in x
2.353 * [backup-simplify]: Simplify 0 into 0
2.353 * [backup-simplify]: Simplify 1 into 1
2.353 * [taylor]: Taking taylor expansion of y in x
2.353 * [backup-simplify]: Simplify y into y
2.353 * [backup-simplify]: Simplify (* 0 y) into 0
2.353 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.353 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.353 * [backup-simplify]: Simplify (+ 1 0) into 1
2.353 * [backup-simplify]: Simplify (+ 0 1) into 1
2.354 * [backup-simplify]: Simplify (sqrt 1) into 1
2.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.355 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.355 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.355 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.355 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
2.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.355 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.355 * [taylor]: Taking taylor expansion of y in x
2.355 * [backup-simplify]: Simplify y into y
2.355 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.355 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.355 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.355 * [taylor]: Taking taylor expansion of x in x
2.355 * [backup-simplify]: Simplify 0 into 0
2.355 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (* 1 1) into 1
2.356 * [backup-simplify]: Simplify (/ 1 1) into 1
2.356 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.356 * [taylor]: Taking taylor expansion of 2.0 in x
2.356 * [backup-simplify]: Simplify 2.0 into 2.0
2.356 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.356 * [taylor]: Taking taylor expansion of (* x y) in x
2.356 * [taylor]: Taking taylor expansion of x in x
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [taylor]: Taking taylor expansion of y in x
2.356 * [backup-simplify]: Simplify y into y
2.356 * [backup-simplify]: Simplify (* 0 y) into 0
2.356 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.356 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.357 * [backup-simplify]: Simplify (+ 1 0) into 1
2.357 * [backup-simplify]: Simplify (+ 0 1) into 1
2.357 * [backup-simplify]: Simplify (sqrt 1) into 1
2.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.358 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.358 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.358 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.359 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
2.359 * [taylor]: Taking taylor expansion of 1 in y
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
2.359 * [taylor]: Taking taylor expansion of 1.0 in y
2.359 * [backup-simplify]: Simplify 1.0 into 1.0
2.359 * [taylor]: Taking taylor expansion of y in y
2.359 * [backup-simplify]: Simplify 0 into 0
2.359 * [backup-simplify]: Simplify 1 into 1
2.359 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
2.359 * [backup-simplify]: Simplify 1.0 into 1.0
2.359 * [backup-simplify]: Simplify 1 into 1
2.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.361 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.361 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
2.362 * [backup-simplify]: Simplify (+ 0 0) into 0
2.362 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
2.362 * [taylor]: Taking taylor expansion of 0 in y
2.362 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify 0 into 0
2.363 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
2.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.366 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
2.366 * [backup-simplify]: Simplify (+ 0 0) into 0
2.366 * [backup-simplify]: Simplify (+ 0 0) into 0
2.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
2.367 * [taylor]: Taking taylor expansion of 0 in y
2.367 * [backup-simplify]: Simplify 0 into 0
2.367 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.373 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
2.374 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
2.375 * [backup-simplify]: Simplify (+ 0 0) into 0
2.375 * [backup-simplify]: Simplify (+ 0 0) into 0
2.376 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
2.376 * [taylor]: Taking taylor expansion of 0 in y
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1.0 y)))
2.376 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.377 * [backup-simplify]: Simplify (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.377 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (x y) around 0
2.377 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
2.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.377 * [taylor]: Taking taylor expansion of y in y
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 1 into 1
2.377 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
2.377 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.377 * [taylor]: Taking taylor expansion of x in y
2.377 * [backup-simplify]: Simplify x into x
2.377 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
2.377 * [taylor]: Taking taylor expansion of 2.0 in y
2.378 * [backup-simplify]: Simplify 2.0 into 2.0
2.378 * [taylor]: Taking taylor expansion of (* x y) in y
2.378 * [taylor]: Taking taylor expansion of x in y
2.378 * [backup-simplify]: Simplify x into x
2.378 * [taylor]: Taking taylor expansion of y in y
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 1 into 1
2.378 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
2.378 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.378 * [taylor]: Taking taylor expansion of y in x
2.378 * [backup-simplify]: Simplify y into y
2.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
2.378 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.378 * [taylor]: Taking taylor expansion of x in x
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 1 into 1
2.378 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
2.378 * [taylor]: Taking taylor expansion of 2.0 in x
2.378 * [backup-simplify]: Simplify 2.0 into 2.0
2.378 * [taylor]: Taking taylor expansion of (* x y) in x
2.378 * [taylor]: Taking taylor expansion of x in x
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 1 into 1
2.378 * [taylor]: Taking taylor expansion of y in x
2.378 * [backup-simplify]: Simplify y into y
2.378 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
2.378 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.378 * [taylor]: Taking taylor expansion of y in x
2.378 * [backup-simplify]: Simplify y into y
2.378 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
2.378 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.378 * [taylor]: Taking taylor expansion of x in x
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 1 into 1
2.378 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
2.379 * [taylor]: Taking taylor expansion of 2.0 in x
2.379 * [backup-simplify]: Simplify 2.0 into 2.0
2.379 * [taylor]: Taking taylor expansion of (* x y) in x
2.379 * [taylor]: Taking taylor expansion of x in x
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [backup-simplify]: Simplify 1 into 1
2.379 * [taylor]: Taking taylor expansion of y in x
2.379 * [backup-simplify]: Simplify y into y
2.379 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.379 * [backup-simplify]: Simplify (* 0 y) into 0
2.379 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.380 * [backup-simplify]: Simplify (+ 0 0) into 0
2.380 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.380 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.380 * [taylor]: Taking taylor expansion of y in y
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 1 into 1
2.380 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.381 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.381 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
2.381 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.381 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.381 * [taylor]: Taking taylor expansion of (* 2.0 y) in y
2.381 * [taylor]: Taking taylor expansion of 2.0 in y
2.381 * [backup-simplify]: Simplify 2.0 into 2.0
2.381 * [taylor]: Taking taylor expansion of y in y
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify 1 into 1
2.382 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.382 * [backup-simplify]: Simplify 0 into 0
2.382 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.383 * [backup-simplify]: Simplify (* 1 1) into 1
2.384 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.384 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0
2.385 * [backup-simplify]: Simplify (+ 1 0) into 1
2.385 * [backup-simplify]: Simplify (+ 0 1) into 1
2.385 * [taylor]: Taking taylor expansion of 1 in y
2.385 * [backup-simplify]: Simplify 1 into 1
2.385 * [backup-simplify]: Simplify 1 into 1
2.387 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
2.387 * [backup-simplify]: Simplify 2.0 into 2.0
2.387 * [backup-simplify]: Simplify (* 1 1) into 1
2.387 * [backup-simplify]: Simplify 1 into 1
2.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.389 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x)))))) (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x))))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))
2.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0
2.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.389 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.389 * [taylor]: Taking taylor expansion of y in y
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.389 * [backup-simplify]: Simplify (* 1 1) into 1
2.390 * [backup-simplify]: Simplify (/ 1 1) into 1
2.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
2.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.390 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.390 * [taylor]: Taking taylor expansion of x in y
2.390 * [backup-simplify]: Simplify x into x
2.390 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.390 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.390 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
2.390 * [taylor]: Taking taylor expansion of 2.0 in y
2.390 * [backup-simplify]: Simplify 2.0 into 2.0
2.390 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.390 * [taylor]: Taking taylor expansion of (* x y) in y
2.390 * [taylor]: Taking taylor expansion of x in y
2.390 * [backup-simplify]: Simplify x into x
2.390 * [taylor]: Taking taylor expansion of y in y
2.390 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.391 * [backup-simplify]: Simplify (* x 0) into 0
2.391 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.391 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.391 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.391 * [taylor]: Taking taylor expansion of y in x
2.391 * [backup-simplify]: Simplify y into y
2.391 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.391 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.392 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.392 * [taylor]: Taking taylor expansion of x in x
2.392 * [backup-simplify]: Simplify 0 into 0
2.392 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (* 1 1) into 1
2.392 * [backup-simplify]: Simplify (/ 1 1) into 1
2.392 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.392 * [taylor]: Taking taylor expansion of 2.0 in x
2.392 * [backup-simplify]: Simplify 2.0 into 2.0
2.393 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.393 * [taylor]: Taking taylor expansion of (* x y) in x
2.393 * [taylor]: Taking taylor expansion of x in x
2.393 * [backup-simplify]: Simplify 0 into 0
2.393 * [backup-simplify]: Simplify 1 into 1
2.393 * [taylor]: Taking taylor expansion of y in x
2.393 * [backup-simplify]: Simplify y into y
2.393 * [backup-simplify]: Simplify (* 0 y) into 0
2.393 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.393 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.393 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.393 * [taylor]: Taking taylor expansion of y in x
2.393 * [backup-simplify]: Simplify y into y
2.393 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.394 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.394 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.394 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.394 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.394 * [taylor]: Taking taylor expansion of x in x
2.394 * [backup-simplify]: Simplify 0 into 0
2.394 * [backup-simplify]: Simplify 1 into 1
2.394 * [backup-simplify]: Simplify (* 1 1) into 1
2.394 * [backup-simplify]: Simplify (/ 1 1) into 1
2.394 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.395 * [taylor]: Taking taylor expansion of 2.0 in x
2.395 * [backup-simplify]: Simplify 2.0 into 2.0
2.395 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.395 * [taylor]: Taking taylor expansion of (* x y) in x
2.395 * [taylor]: Taking taylor expansion of x in x
2.395 * [backup-simplify]: Simplify 0 into 0
2.395 * [backup-simplify]: Simplify 1 into 1
2.395 * [taylor]: Taking taylor expansion of y in x
2.395 * [backup-simplify]: Simplify y into y
2.395 * [backup-simplify]: Simplify (* 0 y) into 0
2.395 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.395 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.396 * [backup-simplify]: Simplify (+ 1 0) into 1
2.396 * [backup-simplify]: Simplify (+ 0 1) into 1
2.396 * [taylor]: Taking taylor expansion of 1 in y
2.396 * [backup-simplify]: Simplify 1 into 1
2.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.398 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.398 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.398 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.398 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y
2.398 * [taylor]: Taking taylor expansion of 2.0 in y
2.398 * [backup-simplify]: Simplify 2.0 into 2.0
2.398 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.398 * [taylor]: Taking taylor expansion of y in y
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.399 * [backup-simplify]: Simplify (/ 1 1) into 1
2.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.402 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.402 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
2.403 * [backup-simplify]: Simplify (+ 0 0) into 0
2.403 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.403 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.403 * [taylor]: Taking taylor expansion of y in y
2.403 * [backup-simplify]: Simplify 0 into 0
2.403 * [backup-simplify]: Simplify 1 into 1
2.403 * [backup-simplify]: Simplify (* 1 1) into 1
2.404 * [backup-simplify]: Simplify (/ 1 1) into 1
2.404 * [backup-simplify]: Simplify 1 into 1
2.404 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
2.404 * [backup-simplify]: Simplify 2.0 into 2.0
2.404 * [backup-simplify]: Simplify 1 into 1
2.405 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.406 * [backup-simplify]: Simplify (* (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x))))))) (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x)))))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))
2.406 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0
2.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
2.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.406 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.406 * [taylor]: Taking taylor expansion of y in y
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 1 into 1
2.407 * [backup-simplify]: Simplify (* 1 1) into 1
2.407 * [backup-simplify]: Simplify (/ 1 1) into 1
2.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
2.407 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.407 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.407 * [taylor]: Taking taylor expansion of x in y
2.407 * [backup-simplify]: Simplify x into x
2.408 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.408 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.408 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
2.408 * [taylor]: Taking taylor expansion of 2.0 in y
2.408 * [backup-simplify]: Simplify 2.0 into 2.0
2.408 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.408 * [taylor]: Taking taylor expansion of (* x y) in y
2.408 * [taylor]: Taking taylor expansion of x in y
2.408 * [backup-simplify]: Simplify x into x
2.408 * [taylor]: Taking taylor expansion of y in y
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [backup-simplify]: Simplify (* x 0) into 0
2.409 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.409 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.409 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.409 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.409 * [taylor]: Taking taylor expansion of y in x
2.409 * [backup-simplify]: Simplify y into y
2.409 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.409 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.409 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.410 * [taylor]: Taking taylor expansion of x in x
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 1 into 1
2.410 * [backup-simplify]: Simplify (* 1 1) into 1
2.410 * [backup-simplify]: Simplify (/ 1 1) into 1
2.410 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.410 * [taylor]: Taking taylor expansion of 2.0 in x
2.410 * [backup-simplify]: Simplify 2.0 into 2.0
2.410 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.411 * [taylor]: Taking taylor expansion of (* x y) in x
2.411 * [taylor]: Taking taylor expansion of x in x
2.411 * [backup-simplify]: Simplify 0 into 0
2.411 * [backup-simplify]: Simplify 1 into 1
2.411 * [taylor]: Taking taylor expansion of y in x
2.411 * [backup-simplify]: Simplify y into y
2.411 * [backup-simplify]: Simplify (* 0 y) into 0
2.411 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.411 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.411 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.411 * [taylor]: Taking taylor expansion of y in x
2.411 * [backup-simplify]: Simplify y into y
2.411 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.412 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.412 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.412 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.412 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.412 * [taylor]: Taking taylor expansion of x in x
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [backup-simplify]: Simplify 1 into 1
2.412 * [backup-simplify]: Simplify (* 1 1) into 1
2.413 * [backup-simplify]: Simplify (/ 1 1) into 1
2.413 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.413 * [taylor]: Taking taylor expansion of 2.0 in x
2.413 * [backup-simplify]: Simplify 2.0 into 2.0
2.413 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.413 * [taylor]: Taking taylor expansion of (* x y) in x
2.413 * [taylor]: Taking taylor expansion of x in x
2.413 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify 1 into 1
2.413 * [taylor]: Taking taylor expansion of y in x
2.413 * [backup-simplify]: Simplify y into y
2.413 * [backup-simplify]: Simplify (* 0 y) into 0
2.413 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.413 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.414 * [backup-simplify]: Simplify (+ 1 0) into 1
2.414 * [backup-simplify]: Simplify (+ 0 1) into 1
2.414 * [taylor]: Taking taylor expansion of 1 in y
2.414 * [backup-simplify]: Simplify 1 into 1
2.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.416 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.416 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.416 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.416 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y
2.416 * [taylor]: Taking taylor expansion of 2.0 in y
2.416 * [backup-simplify]: Simplify 2.0 into 2.0
2.416 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.416 * [taylor]: Taking taylor expansion of y in y
2.416 * [backup-simplify]: Simplify 0 into 0
2.416 * [backup-simplify]: Simplify 1 into 1
2.417 * [backup-simplify]: Simplify (/ 1 1) into 1
2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.419 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.420 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
2.420 * [backup-simplify]: Simplify (+ 0 0) into 0
2.421 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.421 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.421 * [taylor]: Taking taylor expansion of y in y
2.421 * [backup-simplify]: Simplify 0 into 0
2.421 * [backup-simplify]: Simplify 1 into 1
2.421 * [backup-simplify]: Simplify (* 1 1) into 1
2.421 * [backup-simplify]: Simplify (/ 1 1) into 1
2.421 * [backup-simplify]: Simplify 1 into 1
2.422 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
2.422 * [backup-simplify]: Simplify 2.0 into 2.0
2.422 * [backup-simplify]: Simplify 1 into 1
2.423 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.423 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
2.423 * [backup-simplify]: Simplify (+ (* x x) (* y (+ y (* 2.0 x)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.423 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in (x y) around 0
2.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
2.423 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.423 * [taylor]: Taking taylor expansion of y in y
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify 1 into 1
2.423 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
2.424 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.424 * [taylor]: Taking taylor expansion of x in y
2.424 * [backup-simplify]: Simplify x into x
2.424 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
2.424 * [taylor]: Taking taylor expansion of 2.0 in y
2.424 * [backup-simplify]: Simplify 2.0 into 2.0
2.424 * [taylor]: Taking taylor expansion of (* x y) in y
2.424 * [taylor]: Taking taylor expansion of x in y
2.424 * [backup-simplify]: Simplify x into x
2.424 * [taylor]: Taking taylor expansion of y in y
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 1 into 1
2.424 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
2.424 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.424 * [taylor]: Taking taylor expansion of y in x
2.424 * [backup-simplify]: Simplify y into y
2.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
2.424 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.424 * [taylor]: Taking taylor expansion of x in x
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 1 into 1
2.424 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
2.424 * [taylor]: Taking taylor expansion of 2.0 in x
2.424 * [backup-simplify]: Simplify 2.0 into 2.0
2.424 * [taylor]: Taking taylor expansion of (* x y) in x
2.424 * [taylor]: Taking taylor expansion of x in x
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 1 into 1
2.424 * [taylor]: Taking taylor expansion of y in x
2.424 * [backup-simplify]: Simplify y into y
2.424 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
2.424 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.424 * [taylor]: Taking taylor expansion of y in x
2.424 * [backup-simplify]: Simplify y into y
2.425 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
2.425 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.425 * [taylor]: Taking taylor expansion of x in x
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 1 into 1
2.425 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
2.425 * [taylor]: Taking taylor expansion of 2.0 in x
2.425 * [backup-simplify]: Simplify 2.0 into 2.0
2.425 * [taylor]: Taking taylor expansion of (* x y) in x
2.425 * [taylor]: Taking taylor expansion of x in x
2.425 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify 1 into 1
2.425 * [taylor]: Taking taylor expansion of y in x
2.425 * [backup-simplify]: Simplify y into y
2.425 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.425 * [backup-simplify]: Simplify (* 0 y) into 0
2.426 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.426 * [backup-simplify]: Simplify (+ 0 0) into 0
2.426 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.426 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.426 * [taylor]: Taking taylor expansion of y in y
2.426 * [backup-simplify]: Simplify 0 into 0
2.426 * [backup-simplify]: Simplify 1 into 1
2.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.427 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.427 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
2.428 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.428 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
2.428 * [taylor]: Taking taylor expansion of (* 2.0 y) in y
2.428 * [taylor]: Taking taylor expansion of 2.0 in y
2.428 * [backup-simplify]: Simplify 2.0 into 2.0
2.428 * [taylor]: Taking taylor expansion of y in y
2.428 * [backup-simplify]: Simplify 0 into 0
2.428 * [backup-simplify]: Simplify 1 into 1
2.428 * [backup-simplify]: Simplify (* 2.0 0) into 0
2.428 * [backup-simplify]: Simplify 0 into 0
2.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.429 * [backup-simplify]: Simplify (* 1 1) into 1
2.430 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.431 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0
2.431 * [backup-simplify]: Simplify (+ 1 0) into 1
2.432 * [backup-simplify]: Simplify (+ 0 1) into 1
2.432 * [taylor]: Taking taylor expansion of 1 in y
2.432 * [backup-simplify]: Simplify 1 into 1
2.432 * [backup-simplify]: Simplify 1 into 1
2.433 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
2.433 * [backup-simplify]: Simplify 2.0 into 2.0
2.434 * [backup-simplify]: Simplify (* 1 1) into 1
2.434 * [backup-simplify]: Simplify 1 into 1
2.434 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (+ (* 2.0 (* y x)) (* 1 (pow (* 1 x) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.435 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))
2.435 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0
2.435 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
2.435 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.435 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.435 * [taylor]: Taking taylor expansion of y in y
2.435 * [backup-simplify]: Simplify 0 into 0
2.435 * [backup-simplify]: Simplify 1 into 1
2.435 * [backup-simplify]: Simplify (* 1 1) into 1
2.436 * [backup-simplify]: Simplify (/ 1 1) into 1
2.436 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
2.436 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.436 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.436 * [taylor]: Taking taylor expansion of x in y
2.436 * [backup-simplify]: Simplify x into x
2.436 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.436 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.436 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
2.436 * [taylor]: Taking taylor expansion of 2.0 in y
2.436 * [backup-simplify]: Simplify 2.0 into 2.0
2.436 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.436 * [taylor]: Taking taylor expansion of (* x y) in y
2.436 * [taylor]: Taking taylor expansion of x in y
2.436 * [backup-simplify]: Simplify x into x
2.436 * [taylor]: Taking taylor expansion of y in y
2.436 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify 1 into 1
2.437 * [backup-simplify]: Simplify (* x 0) into 0
2.437 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.437 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.437 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.437 * [taylor]: Taking taylor expansion of y in x
2.437 * [backup-simplify]: Simplify y into y
2.437 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.437 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.438 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.438 * [taylor]: Taking taylor expansion of x in x
2.438 * [backup-simplify]: Simplify 0 into 0
2.438 * [backup-simplify]: Simplify 1 into 1
2.438 * [backup-simplify]: Simplify (* 1 1) into 1
2.438 * [backup-simplify]: Simplify (/ 1 1) into 1
2.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.439 * [taylor]: Taking taylor expansion of 2.0 in x
2.439 * [backup-simplify]: Simplify 2.0 into 2.0
2.439 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.439 * [taylor]: Taking taylor expansion of (* x y) in x
2.439 * [taylor]: Taking taylor expansion of x in x
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 1 into 1
2.439 * [taylor]: Taking taylor expansion of y in x
2.439 * [backup-simplify]: Simplify y into y
2.439 * [backup-simplify]: Simplify (* 0 y) into 0
2.439 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.439 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.439 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.439 * [taylor]: Taking taylor expansion of y in x
2.440 * [backup-simplify]: Simplify y into y
2.440 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.440 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.440 * [taylor]: Taking taylor expansion of x in x
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify 1 into 1
2.440 * [backup-simplify]: Simplify (* 1 1) into 1
2.441 * [backup-simplify]: Simplify (/ 1 1) into 1
2.441 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.441 * [taylor]: Taking taylor expansion of 2.0 in x
2.441 * [backup-simplify]: Simplify 2.0 into 2.0
2.441 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.441 * [taylor]: Taking taylor expansion of (* x y) in x
2.441 * [taylor]: Taking taylor expansion of x in x
2.441 * [backup-simplify]: Simplify 0 into 0
2.441 * [backup-simplify]: Simplify 1 into 1
2.441 * [taylor]: Taking taylor expansion of y in x
2.441 * [backup-simplify]: Simplify y into y
2.441 * [backup-simplify]: Simplify (* 0 y) into 0
2.442 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.442 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.442 * [backup-simplify]: Simplify (+ 1 0) into 1
2.443 * [backup-simplify]: Simplify (+ 0 1) into 1
2.443 * [taylor]: Taking taylor expansion of 1 in y
2.443 * [backup-simplify]: Simplify 1 into 1
2.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.444 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.444 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.444 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.444 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y
2.444 * [taylor]: Taking taylor expansion of 2.0 in y
2.444 * [backup-simplify]: Simplify 2.0 into 2.0
2.444 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.444 * [taylor]: Taking taylor expansion of y in y
2.445 * [backup-simplify]: Simplify 0 into 0
2.445 * [backup-simplify]: Simplify 1 into 1
2.445 * [backup-simplify]: Simplify (/ 1 1) into 1
2.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.448 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.448 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
2.449 * [backup-simplify]: Simplify (+ 0 0) into 0
2.449 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.449 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.449 * [taylor]: Taking taylor expansion of y in y
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 1 into 1
2.449 * [backup-simplify]: Simplify (* 1 1) into 1
2.450 * [backup-simplify]: Simplify (/ 1 1) into 1
2.450 * [backup-simplify]: Simplify 1 into 1
2.450 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
2.450 * [backup-simplify]: Simplify 2.0 into 2.0
2.451 * [backup-simplify]: Simplify 1 into 1
2.451 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 y)) (/ 1 (/ 1 x)))) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.452 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x)))))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))
2.452 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in (x y) around 0
2.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
2.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.452 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.452 * [taylor]: Taking taylor expansion of y in y
2.452 * [backup-simplify]: Simplify 0 into 0
2.452 * [backup-simplify]: Simplify 1 into 1
2.453 * [backup-simplify]: Simplify (* 1 1) into 1
2.453 * [backup-simplify]: Simplify (/ 1 1) into 1
2.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
2.453 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.453 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.453 * [taylor]: Taking taylor expansion of x in y
2.453 * [backup-simplify]: Simplify x into x
2.453 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.453 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.453 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
2.454 * [taylor]: Taking taylor expansion of 2.0 in y
2.454 * [backup-simplify]: Simplify 2.0 into 2.0
2.454 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
2.454 * [taylor]: Taking taylor expansion of (* x y) in y
2.454 * [taylor]: Taking taylor expansion of x in y
2.454 * [backup-simplify]: Simplify x into x
2.454 * [taylor]: Taking taylor expansion of y in y
2.454 * [backup-simplify]: Simplify 0 into 0
2.454 * [backup-simplify]: Simplify 1 into 1
2.454 * [backup-simplify]: Simplify (* x 0) into 0
2.454 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
2.454 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.454 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.454 * [taylor]: Taking taylor expansion of y in x
2.454 * [backup-simplify]: Simplify y into y
2.454 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.454 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.454 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.454 * [taylor]: Taking taylor expansion of x in x
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [backup-simplify]: Simplify (* 1 1) into 1
2.455 * [backup-simplify]: Simplify (/ 1 1) into 1
2.455 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.455 * [taylor]: Taking taylor expansion of 2.0 in x
2.455 * [backup-simplify]: Simplify 2.0 into 2.0
2.455 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.455 * [taylor]: Taking taylor expansion of (* x y) in x
2.455 * [taylor]: Taking taylor expansion of x in x
2.455 * [backup-simplify]: Simplify 0 into 0
2.455 * [backup-simplify]: Simplify 1 into 1
2.455 * [taylor]: Taking taylor expansion of y in x
2.455 * [backup-simplify]: Simplify y into y
2.455 * [backup-simplify]: Simplify (* 0 y) into 0
2.456 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.456 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.456 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.456 * [taylor]: Taking taylor expansion of y in x
2.456 * [backup-simplify]: Simplify y into y
2.456 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.456 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
2.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.456 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.456 * [taylor]: Taking taylor expansion of x in x
2.456 * [backup-simplify]: Simplify 0 into 0
2.456 * [backup-simplify]: Simplify 1 into 1
2.456 * [backup-simplify]: Simplify (* 1 1) into 1
2.457 * [backup-simplify]: Simplify (/ 1 1) into 1
2.457 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
2.457 * [taylor]: Taking taylor expansion of 2.0 in x
2.457 * [backup-simplify]: Simplify 2.0 into 2.0
2.457 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
2.457 * [taylor]: Taking taylor expansion of (* x y) in x
2.457 * [taylor]: Taking taylor expansion of x in x
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify 1 into 1
2.457 * [taylor]: Taking taylor expansion of y in x
2.457 * [backup-simplify]: Simplify y into y
2.457 * [backup-simplify]: Simplify (* 0 y) into 0
2.457 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
2.457 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
2.457 * [backup-simplify]: Simplify (+ 1 0) into 1
2.458 * [backup-simplify]: Simplify (+ 0 1) into 1
2.458 * [taylor]: Taking taylor expansion of 1 in y
2.458 * [backup-simplify]: Simplify 1 into 1
2.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.459 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
2.459 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
2.459 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
2.459 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 y)) in y
2.459 * [taylor]: Taking taylor expansion of 2.0 in y
2.459 * [backup-simplify]: Simplify 2.0 into 2.0
2.459 * [taylor]: Taking taylor expansion of (/ 1 y) in y
2.459 * [taylor]: Taking taylor expansion of y in y
2.459 * [backup-simplify]: Simplify 0 into 0
2.459 * [backup-simplify]: Simplify 1 into 1
2.459 * [backup-simplify]: Simplify (/ 1 1) into 1
2.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.461 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
2.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
2.461 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.463 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.463 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.463 * [taylor]: Taking taylor expansion of y in y
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify 1 into 1
2.464 * [backup-simplify]: Simplify (* 1 1) into 1
2.464 * [backup-simplify]: Simplify (/ 1 1) into 1
2.464 * [backup-simplify]: Simplify 1 into 1
2.464 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
2.464 * [backup-simplify]: Simplify 2.0 into 2.0
2.464 * [backup-simplify]: Simplify 1 into 1
2.465 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (+ (* 2.0 (* (/ 1 (/ 1 (- y))) (/ 1 (/ 1 (- x))))) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2)))) into (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.465 * * * [progress]: simplifying candidates
2.466 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (exp (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (* (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))) (cbrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (sqrt (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (* x x) (* y (+ y (* 2.0 x)))))))
  (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))
  (sqrt (- (* x x) (* y (+ y (* 2.0 x)))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (log (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (exp (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (* (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))) (cbrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (sqrt (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (* x x) (* y (+ y (* 2.0 x)))))))
  (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))
  (sqrt (- (* x x) (* y (+ y (* 2.0 x)))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (+ (* x x) (* y (+ y (* 2.0 x)))) (+ (* x x) (* y (+ y (* 2.0 x)))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (+ (* x x) (* y (+ y (* 2.0 x)))) (+ (* x x) (* y (+ y (* 2.0 x)))))
  (+ 1 1)
  (+ (log (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (log (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (log (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (exp (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (* (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (* (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (cbrt (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))) (cbrt (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))))
  (cbrt (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (* (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))) (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (+ (* x x) (* y (+ y (* 2.0 x)))) (+ (* x x) (* y (+ y (* 2.0 x)))))
  (sqrt (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (sqrt (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (* x x) (* y (+ y (* 2.0 x))))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (* x x) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (* x x) (* y (+ y (* 2.0 x))))))) (sqrt (- (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3))))
  (* (sqrt (- (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (* x x) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (- (* x x) (* y (+ y (* 2.0 x))))) (sqrt (- (* x x) (* y (+ y (* 2.0 x))))))
  (* (* (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))) (* (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))))
  (* (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (* (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))) (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))))) (sqrt (* (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))) (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (cbrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (cbrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* 1 1)
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (* (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (* (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))) (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt 1))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) 1)
  (* (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (cbrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3))))
  (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (exp (* x x)) (exp (* y (+ y (* 2.0 x)))))
  (log (+ (* x x) (* y (+ y (* 2.0 x)))))
  (exp (+ (* x x) (* y (+ y (* 2.0 x)))))
  (* (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))) (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (cbrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (* (* (+ (* x x) (* y (+ y (* 2.0 x)))) (+ (* x x) (* y (+ y (* 2.0 x))))) (+ (* x x) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3))
  (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (* x x) (* y (+ y (* 2.0 x))))))
  (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))))
  (- (* x x) (* y (+ y (* 2.0 x))))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
  (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))
2.468 * * [simplify]: iteration 0: 104 enodes
2.496 * * [simplify]: iteration 1: 265 enodes
2.630 * * [simplify]: iteration 2: 1369 enodes
3.177 * * [simplify]: iteration complete: 5001 enodes
3.177 * * [simplify]: Extracting #0: cost 40 inf + 0
3.178 * * [simplify]: Extracting #1: cost 517 inf + 3
3.182 * * [simplify]: Extracting #2: cost 1444 inf + 65
3.188 * * [simplify]: Extracting #3: cost 2034 inf + 966
3.195 * * [simplify]: Extracting #4: cost 1409 inf + 7202
3.203 * * [simplify]: Extracting #5: cost 329 inf + 26761
3.210 * * [simplify]: Extracting #6: cost 9 inf + 33740
3.219 * * [simplify]: Extracting #7: cost 0 inf + 33887
3.226 * [simplify]: Simplified to:
  (log (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (exp (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (pow (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) 3)
  (fabs (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  1
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow (* y (+ y (* 2.0 x))) 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (pow x 2)))))
  (sqrt (- (pow x 4) (* y (* y (* (+ y (* 2.0 x)) (+ y (* 2.0 x)))))))
  (sqrt (- (pow x 2) (* y (+ y (* 2.0 x)))))
  1/2
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (log (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (exp (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (pow (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) 3)
  (fabs (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  1
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow (* y (+ y (* 2.0 x))) 3) (pow x 6)))
  (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (pow x 2)))))
  (sqrt (- (pow x 4) (* y (* y (* (+ y (* 2.0 x)) (+ y (* 2.0 x)))))))
  (sqrt (- (pow x 2) (* y (+ y (* 2.0 x)))))
  1/2
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  1
  1
  2
  1
  1
  (pow (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (+ 3 1))
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (pow (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (+ 3 1))
  2
  (log (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (log (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (exp (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (pow (+ (pow x 2) (* y (+ y (* 2.0 x)))) 3)
  (* (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (pow (+ (pow x 2) (* y (+ y (* 2.0 x)))) 3)
  (pow (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (+ 3 1))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (+ (pow (* y (+ y (* 2.0 x))) 3) (pow x 6))
  (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (pow x 2))))
  (* (sqrt (+ (pow (* y (+ y (* 2.0 x))) 3) (pow x 6))) (sqrt (- (pow x 4) (* y (* y (* (+ y (* 2.0 x)) (+ y (* 2.0 x))))))))
  (* (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (pow x 2))))) (sqrt (- (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (sqrt (+ (pow (* y (+ y (* 2.0 x))) 3) (pow x 6))) (sqrt (- (pow x 4) (* y (* y (* (+ y (* 2.0 x)) (+ y (* 2.0 x))))))))
  (* (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (pow x 2))))) (sqrt (- (pow x 2) (* y (+ y (* 2.0 x))))))
  (- (pow x 4) (* y (* y (* (+ y (* 2.0 x)) (+ y (* 2.0 x))))))
  (- (pow x 2) (* y (+ y (* 2.0 x))))
  (pow (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (+ 3 1))
  (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  1
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  1
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  1
  2
  1
  (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (pow (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (+ 3 1)))
  (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (fabs (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (pow (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) 3)
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (pow (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) 3)
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (pow (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (+ 3 1))
  (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (sqrt (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (pow (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) 3)
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (pow (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) 3)
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (sqrt (+ (pow (* y (+ y (* 2.0 x))) 3) (pow x 6))))
  (* (sqrt (- (pow x 4) (* y (* y (* (+ y (* 2.0 x)) (+ y (* 2.0 x))))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (sqrt (+ (pow (* y (+ y (* 2.0 x))) 3) (pow x 6))))
  (* (sqrt (- (pow x 4) (* y (* y (* (+ y (* 2.0 x)) (+ y (* 2.0 x))))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (exp (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (log (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (exp (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (* (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (pow (+ (pow x 2) (* y (+ y (* 2.0 x)))) 3)
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (+ (pow (* y (+ y (* 2.0 x))) 3) (pow x 6))
  (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (pow x 2))))
  (- (pow x 4) (* y (* y (* (+ y (* 2.0 x)) (+ y (* 2.0 x))))))
  (- (pow x 2) (* y (+ y (* 2.0 x))))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ y (* 1.0 x))
  (+ x (* y 1.0))
  (- (+ (* y 1.0) x))
  (+ y (* 1.0 x))
  (+ x (* y 1.0))
  (- (+ (* y 1.0) x))
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
  (+ (pow x 2) (* y (+ y (* 2.0 x))))
3.227 * * * [progress]: adding candidates to table
3.726 * * [progress]: iteration 4 / 4
3.727 * * * [progress]: picking best candidate
3.734 * * * * [pick]: Picked  #<alt (λ (x y) (* (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))>
3.734 * * * [progress]: localizing error
3.766 * * * [progress]: generating rewritten candidates
3.766 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.779 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
3.801 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
3.822 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.925 * * * [progress]: generating series expansions
3.925 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.925 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))))
3.925 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in (x y) around 0
3.925 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y
3.925 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
3.925 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.925 * [taylor]: Taking taylor expansion of y in y
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify 1 into 1
3.925 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
3.925 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.925 * [taylor]: Taking taylor expansion of x in y
3.925 * [backup-simplify]: Simplify x into x
3.925 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
3.925 * [taylor]: Taking taylor expansion of 2.0 in y
3.925 * [backup-simplify]: Simplify 2.0 into 2.0
3.925 * [taylor]: Taking taylor expansion of (* x y) in y
3.926 * [taylor]: Taking taylor expansion of x in y
3.926 * [backup-simplify]: Simplify x into x
3.926 * [taylor]: Taking taylor expansion of y in y
3.926 * [backup-simplify]: Simplify 0 into 0
3.926 * [backup-simplify]: Simplify 1 into 1
3.926 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.926 * [backup-simplify]: Simplify (* x 0) into 0
3.926 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.926 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.927 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.927 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.927 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.927 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
3.927 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x)
3.927 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
3.927 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
3.928 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0
3.928 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
3.928 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
3.928 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.928 * [taylor]: Taking taylor expansion of y in x
3.928 * [backup-simplify]: Simplify y into y
3.928 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
3.928 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.928 * [taylor]: Taking taylor expansion of x in x
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 1 into 1
3.928 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
3.928 * [taylor]: Taking taylor expansion of 2.0 in x
3.928 * [backup-simplify]: Simplify 2.0 into 2.0
3.928 * [taylor]: Taking taylor expansion of (* x y) in x
3.928 * [taylor]: Taking taylor expansion of x in x
3.928 * [backup-simplify]: Simplify 0 into 0
3.928 * [backup-simplify]: Simplify 1 into 1
3.928 * [taylor]: Taking taylor expansion of y in x
3.928 * [backup-simplify]: Simplify y into y
3.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.928 * [backup-simplify]: Simplify (* 0 y) into 0
3.928 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.928 * [backup-simplify]: Simplify (+ 0 0) into 0
3.929 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.929 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.929 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.929 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.929 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
3.929 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
3.929 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
3.930 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
3.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
3.930 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
3.930 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.930 * [taylor]: Taking taylor expansion of y in x
3.930 * [backup-simplify]: Simplify y into y
3.930 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
3.930 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.930 * [taylor]: Taking taylor expansion of x in x
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
3.930 * [taylor]: Taking taylor expansion of 2.0 in x
3.930 * [backup-simplify]: Simplify 2.0 into 2.0
3.930 * [taylor]: Taking taylor expansion of (* x y) in x
3.930 * [taylor]: Taking taylor expansion of x in x
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.930 * [taylor]: Taking taylor expansion of y in x
3.930 * [backup-simplify]: Simplify y into y
3.930 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.930 * [backup-simplify]: Simplify (* 0 y) into 0
3.930 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.930 * [backup-simplify]: Simplify (+ 0 0) into 0
3.931 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.931 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.931 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.931 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
3.931 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
3.931 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
3.931 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
3.931 * [taylor]: Taking taylor expansion of y in y
3.931 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [taylor]: Taking taylor expansion of 1.0 in y
3.932 * [backup-simplify]: Simplify 1.0 into 1.0
3.932 * [backup-simplify]: Simplify 1.0 into 1.0
3.932 * [backup-simplify]: Simplify 1 into 1
3.932 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.932 * [backup-simplify]: Simplify (* 1 1) into 1
3.933 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.933 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0
3.933 * [backup-simplify]: Simplify (+ 1 0) into 1
3.934 * [backup-simplify]: Simplify (+ 0 1) into 1
3.935 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 y)) into 0
3.935 * [taylor]: Taking taylor expansion of 0 in y
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify 0 into 0
3.935 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
3.937 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0
3.937 * [backup-simplify]: Simplify (+ 0 0) into 0
3.938 * [backup-simplify]: Simplify (+ 0 0) into 0
3.938 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0
3.938 * [taylor]: Taking taylor expansion of 0 in y
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ (* 1.0 x) y)
3.939 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
3.939 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
3.939 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
3.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.939 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.939 * [taylor]: Taking taylor expansion of y in y
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 1 into 1
3.939 * [backup-simplify]: Simplify (* 1 1) into 1
3.939 * [backup-simplify]: Simplify (/ 1 1) into 1
3.939 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
3.939 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.940 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.940 * [taylor]: Taking taylor expansion of x in y
3.940 * [backup-simplify]: Simplify x into x
3.940 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.940 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.940 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
3.940 * [taylor]: Taking taylor expansion of 2.0 in y
3.940 * [backup-simplify]: Simplify 2.0 into 2.0
3.940 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
3.940 * [taylor]: Taking taylor expansion of (* x y) in y
3.940 * [taylor]: Taking taylor expansion of x in y
3.940 * [backup-simplify]: Simplify x into x
3.940 * [taylor]: Taking taylor expansion of y in y
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (* x 0) into 0
3.940 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
3.940 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.941 * [backup-simplify]: Simplify (+ 1 0) into 1
3.941 * [backup-simplify]: Simplify (sqrt 1) into 1
3.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.942 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
3.942 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
3.942 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
3.942 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
3.942 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
3.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
3.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.942 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.942 * [taylor]: Taking taylor expansion of y in x
3.943 * [backup-simplify]: Simplify y into y
3.943 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.943 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
3.943 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.943 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.943 * [taylor]: Taking taylor expansion of x in x
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify (* 1 1) into 1
3.944 * [backup-simplify]: Simplify (/ 1 1) into 1
3.944 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
3.944 * [taylor]: Taking taylor expansion of 2.0 in x
3.944 * [backup-simplify]: Simplify 2.0 into 2.0
3.944 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.944 * [taylor]: Taking taylor expansion of (* x y) in x
3.944 * [taylor]: Taking taylor expansion of x in x
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 1 into 1
3.944 * [taylor]: Taking taylor expansion of y in x
3.944 * [backup-simplify]: Simplify y into y
3.944 * [backup-simplify]: Simplify (* 0 y) into 0
3.944 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.944 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.945 * [backup-simplify]: Simplify (+ 1 0) into 1
3.945 * [backup-simplify]: Simplify (+ 0 1) into 1
3.946 * [backup-simplify]: Simplify (sqrt 1) into 1
3.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.947 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
3.947 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
3.947 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
3.948 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
3.948 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
3.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
3.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.948 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.948 * [taylor]: Taking taylor expansion of y in x
3.948 * [backup-simplify]: Simplify y into y
3.948 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.948 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
3.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.948 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.949 * [taylor]: Taking taylor expansion of x in x
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 1 into 1
3.949 * [backup-simplify]: Simplify (* 1 1) into 1
3.949 * [backup-simplify]: Simplify (/ 1 1) into 1
3.949 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
3.949 * [taylor]: Taking taylor expansion of 2.0 in x
3.949 * [backup-simplify]: Simplify 2.0 into 2.0
3.949 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.949 * [taylor]: Taking taylor expansion of (* x y) in x
3.950 * [taylor]: Taking taylor expansion of x in x
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [taylor]: Taking taylor expansion of y in x
3.950 * [backup-simplify]: Simplify y into y
3.950 * [backup-simplify]: Simplify (* 0 y) into 0
3.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.950 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.951 * [backup-simplify]: Simplify (+ 1 0) into 1
3.951 * [backup-simplify]: Simplify (+ 0 1) into 1
3.951 * [backup-simplify]: Simplify (sqrt 1) into 1
3.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.953 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
3.953 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
3.953 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
3.954 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
3.954 * [taylor]: Taking taylor expansion of 1 in y
3.954 * [backup-simplify]: Simplify 1 into 1
3.954 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
3.954 * [taylor]: Taking taylor expansion of 1.0 in y
3.954 * [backup-simplify]: Simplify 1.0 into 1.0
3.954 * [taylor]: Taking taylor expansion of y in y
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 1 into 1
3.954 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
3.954 * [backup-simplify]: Simplify 1.0 into 1.0
3.954 * [backup-simplify]: Simplify 1 into 1
3.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.959 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
3.959 * [backup-simplify]: Simplify (+ 0 0) into 0
3.959 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.960 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
3.960 * [taylor]: Taking taylor expansion of 0 in y
3.960 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.963 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
3.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.963 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
3.964 * [backup-simplify]: Simplify (+ 0 0) into 0
3.964 * [backup-simplify]: Simplify (+ 0 0) into 0
3.964 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
3.964 * [taylor]: Taking taylor expansion of 0 in y
3.964 * [backup-simplify]: Simplify 0 into 0
3.964 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.968 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.969 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
3.969 * [backup-simplify]: Simplify (+ 0 0) into 0
3.970 * [backup-simplify]: Simplify (+ 0 0) into 0
3.970 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
3.970 * [taylor]: Taking taylor expansion of 0 in y
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1.0 y))
3.971 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
3.971 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
3.971 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
3.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
3.971 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.971 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.971 * [taylor]: Taking taylor expansion of y in y
3.971 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify 1 into 1
3.971 * [backup-simplify]: Simplify (* 1 1) into 1
3.971 * [backup-simplify]: Simplify (/ 1 1) into 1
3.971 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
3.971 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.971 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.971 * [taylor]: Taking taylor expansion of x in y
3.972 * [backup-simplify]: Simplify x into x
3.972 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.972 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.972 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
3.972 * [taylor]: Taking taylor expansion of 2.0 in y
3.972 * [backup-simplify]: Simplify 2.0 into 2.0
3.972 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
3.972 * [taylor]: Taking taylor expansion of (* x y) in y
3.972 * [taylor]: Taking taylor expansion of x in y
3.972 * [backup-simplify]: Simplify x into x
3.972 * [taylor]: Taking taylor expansion of y in y
3.972 * [backup-simplify]: Simplify 0 into 0
3.972 * [backup-simplify]: Simplify 1 into 1
3.972 * [backup-simplify]: Simplify (* x 0) into 0
3.972 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
3.972 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.972 * [backup-simplify]: Simplify (+ 1 0) into 1
3.973 * [backup-simplify]: Simplify (sqrt 1) into 1
3.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.974 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
3.974 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
3.974 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
3.974 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
3.974 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
3.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
3.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.974 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.974 * [taylor]: Taking taylor expansion of y in x
3.974 * [backup-simplify]: Simplify y into y
3.974 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.974 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.974 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
3.974 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.974 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.974 * [taylor]: Taking taylor expansion of x in x
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify 1 into 1
3.975 * [backup-simplify]: Simplify (* 1 1) into 1
3.975 * [backup-simplify]: Simplify (/ 1 1) into 1
3.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
3.975 * [taylor]: Taking taylor expansion of 2.0 in x
3.975 * [backup-simplify]: Simplify 2.0 into 2.0
3.975 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.975 * [taylor]: Taking taylor expansion of (* x y) in x
3.975 * [taylor]: Taking taylor expansion of x in x
3.975 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify 1 into 1
3.975 * [taylor]: Taking taylor expansion of y in x
3.975 * [backup-simplify]: Simplify y into y
3.975 * [backup-simplify]: Simplify (* 0 y) into 0
3.975 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.975 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.976 * [backup-simplify]: Simplify (+ 1 0) into 1
3.976 * [backup-simplify]: Simplify (+ 0 1) into 1
3.976 * [backup-simplify]: Simplify (sqrt 1) into 1
3.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.977 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
3.977 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
3.977 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
3.978 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
3.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
3.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
3.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.978 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.978 * [taylor]: Taking taylor expansion of y in x
3.978 * [backup-simplify]: Simplify y into y
3.978 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.978 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
3.978 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.978 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.978 * [taylor]: Taking taylor expansion of x in x
3.978 * [backup-simplify]: Simplify 0 into 0
3.978 * [backup-simplify]: Simplify 1 into 1
3.978 * [backup-simplify]: Simplify (* 1 1) into 1
3.979 * [backup-simplify]: Simplify (/ 1 1) into 1
3.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
3.979 * [taylor]: Taking taylor expansion of 2.0 in x
3.979 * [backup-simplify]: Simplify 2.0 into 2.0
3.979 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
3.979 * [taylor]: Taking taylor expansion of (* x y) in x
3.979 * [taylor]: Taking taylor expansion of x in x
3.979 * [backup-simplify]: Simplify 0 into 0
3.979 * [backup-simplify]: Simplify 1 into 1
3.979 * [taylor]: Taking taylor expansion of y in x
3.979 * [backup-simplify]: Simplify y into y
3.979 * [backup-simplify]: Simplify (* 0 y) into 0
3.979 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.979 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.979 * [backup-simplify]: Simplify (+ 1 0) into 1
3.980 * [backup-simplify]: Simplify (+ 0 1) into 1
3.980 * [backup-simplify]: Simplify (sqrt 1) into 1
3.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.981 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
3.981 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
3.981 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
3.981 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
3.981 * [taylor]: Taking taylor expansion of 1 in y
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
3.982 * [taylor]: Taking taylor expansion of 1.0 in y
3.982 * [backup-simplify]: Simplify 1.0 into 1.0
3.982 * [taylor]: Taking taylor expansion of y in y
3.982 * [backup-simplify]: Simplify 0 into 0
3.982 * [backup-simplify]: Simplify 1 into 1
3.982 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
3.982 * [backup-simplify]: Simplify 1.0 into 1.0
3.982 * [backup-simplify]: Simplify 1 into 1
3.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
3.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.984 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
3.984 * [backup-simplify]: Simplify (+ 0 0) into 0
3.984 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
3.985 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
3.985 * [taylor]: Taking taylor expansion of 0 in y
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
3.985 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.986 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.988 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
3.988 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.988 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
3.988 * [backup-simplify]: Simplify (+ 0 0) into 0
3.989 * [backup-simplify]: Simplify (+ 0 0) into 0
3.989 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
3.989 * [taylor]: Taking taylor expansion of 0 in y
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.992 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
3.993 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.993 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
3.994 * [backup-simplify]: Simplify (+ 0 0) into 0
3.994 * [backup-simplify]: Simplify (+ 0 0) into 0
3.994 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
3.994 * [taylor]: Taking taylor expansion of 0 in y
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1.0 y)))
3.995 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
3.995 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))))
3.995 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in (x y) around 0
3.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y
3.995 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
3.995 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.995 * [taylor]: Taking taylor expansion of y in y
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.995 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
3.995 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.995 * [taylor]: Taking taylor expansion of x in y
3.995 * [backup-simplify]: Simplify x into x
3.995 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
3.995 * [taylor]: Taking taylor expansion of 2.0 in y
3.995 * [backup-simplify]: Simplify 2.0 into 2.0
3.995 * [taylor]: Taking taylor expansion of (* x y) in y
3.995 * [taylor]: Taking taylor expansion of x in y
3.995 * [backup-simplify]: Simplify x into x
3.995 * [taylor]: Taking taylor expansion of y in y
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.995 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.995 * [backup-simplify]: Simplify (* x 0) into 0
3.996 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.996 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.996 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
3.996 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.996 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.996 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
3.997 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x)
3.997 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
3.997 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
3.997 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0
3.997 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
3.997 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
3.997 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.997 * [taylor]: Taking taylor expansion of y in x
3.997 * [backup-simplify]: Simplify y into y
3.997 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
3.997 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.997 * [taylor]: Taking taylor expansion of x in x
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
3.997 * [taylor]: Taking taylor expansion of 2.0 in x
3.997 * [backup-simplify]: Simplify 2.0 into 2.0
3.997 * [taylor]: Taking taylor expansion of (* x y) in x
3.997 * [taylor]: Taking taylor expansion of x in x
3.997 * [backup-simplify]: Simplify 0 into 0
3.997 * [backup-simplify]: Simplify 1 into 1
3.997 * [taylor]: Taking taylor expansion of y in x
3.997 * [backup-simplify]: Simplify y into y
3.997 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.997 * [backup-simplify]: Simplify (* 0 y) into 0
3.998 * [backup-simplify]: Simplify (* 2.0 0) into 0
3.998 * [backup-simplify]: Simplify (+ 0 0) into 0
3.998 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.998 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.998 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.999 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
3.999 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
3.999 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
3.999 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
3.999 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
3.999 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
4.000 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
4.000 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.000 * [taylor]: Taking taylor expansion of y in x
4.000 * [backup-simplify]: Simplify y into y
4.000 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
4.000 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.000 * [taylor]: Taking taylor expansion of x in x
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 1 into 1
4.000 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
4.000 * [taylor]: Taking taylor expansion of 2.0 in x
4.000 * [backup-simplify]: Simplify 2.0 into 2.0
4.000 * [taylor]: Taking taylor expansion of (* x y) in x
4.000 * [taylor]: Taking taylor expansion of x in x
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 1 into 1
4.000 * [taylor]: Taking taylor expansion of y in x
4.000 * [backup-simplify]: Simplify y into y
4.000 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.000 * [backup-simplify]: Simplify (* 0 y) into 0
4.000 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.001 * [backup-simplify]: Simplify (+ 0 0) into 0
4.001 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.001 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.001 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.002 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.002 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
4.002 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.002 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.002 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
4.002 * [taylor]: Taking taylor expansion of y in y
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [backup-simplify]: Simplify 0 into 0
4.003 * [taylor]: Taking taylor expansion of 1.0 in y
4.003 * [backup-simplify]: Simplify 1.0 into 1.0
4.003 * [backup-simplify]: Simplify 1.0 into 1.0
4.003 * [backup-simplify]: Simplify 1 into 1
4.003 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.004 * [backup-simplify]: Simplify (* 1 1) into 1
4.004 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.005 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0
4.005 * [backup-simplify]: Simplify (+ 1 0) into 1
4.006 * [backup-simplify]: Simplify (+ 0 1) into 1
4.007 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 y)) into 0
4.008 * [taylor]: Taking taylor expansion of 0 in y
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.010 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.011 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0
4.012 * [backup-simplify]: Simplify (+ 0 0) into 0
4.012 * [backup-simplify]: Simplify (+ 0 0) into 0
4.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0
4.013 * [taylor]: Taking taylor expansion of 0 in y
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify 0 into 0
4.013 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ (* 1.0 x) y)
4.014 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 x) 2) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
4.014 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
4.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
4.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
4.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.014 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.014 * [taylor]: Taking taylor expansion of y in y
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify 1 into 1
4.014 * [backup-simplify]: Simplify (* 1 1) into 1
4.015 * [backup-simplify]: Simplify (/ 1 1) into 1
4.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
4.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.015 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.015 * [taylor]: Taking taylor expansion of x in y
4.015 * [backup-simplify]: Simplify x into x
4.015 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.015 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.015 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
4.015 * [taylor]: Taking taylor expansion of 2.0 in y
4.015 * [backup-simplify]: Simplify 2.0 into 2.0
4.015 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
4.015 * [taylor]: Taking taylor expansion of (* x y) in y
4.015 * [taylor]: Taking taylor expansion of x in y
4.015 * [backup-simplify]: Simplify x into x
4.015 * [taylor]: Taking taylor expansion of y in y
4.015 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify 1 into 1
4.016 * [backup-simplify]: Simplify (* x 0) into 0
4.016 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.016 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.016 * [backup-simplify]: Simplify (+ 1 0) into 1
4.017 * [backup-simplify]: Simplify (sqrt 1) into 1
4.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.018 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
4.018 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
4.018 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
4.019 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
4.019 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.019 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.019 * [taylor]: Taking taylor expansion of y in x
4.019 * [backup-simplify]: Simplify y into y
4.019 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.019 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.020 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.020 * [taylor]: Taking taylor expansion of x in x
4.020 * [backup-simplify]: Simplify 0 into 0
4.020 * [backup-simplify]: Simplify 1 into 1
4.020 * [backup-simplify]: Simplify (* 1 1) into 1
4.020 * [backup-simplify]: Simplify (/ 1 1) into 1
4.020 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.020 * [taylor]: Taking taylor expansion of 2.0 in x
4.020 * [backup-simplify]: Simplify 2.0 into 2.0
4.020 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.020 * [taylor]: Taking taylor expansion of (* x y) in x
4.020 * [taylor]: Taking taylor expansion of x in x
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [taylor]: Taking taylor expansion of y in x
4.021 * [backup-simplify]: Simplify y into y
4.021 * [backup-simplify]: Simplify (* 0 y) into 0
4.021 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.021 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.022 * [backup-simplify]: Simplify (+ 1 0) into 1
4.022 * [backup-simplify]: Simplify (+ 0 1) into 1
4.022 * [backup-simplify]: Simplify (sqrt 1) into 1
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.024 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.024 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.025 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.025 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.025 * [taylor]: Taking taylor expansion of y in x
4.025 * [backup-simplify]: Simplify y into y
4.025 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.025 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.025 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.025 * [taylor]: Taking taylor expansion of x in x
4.025 * [backup-simplify]: Simplify 0 into 0
4.025 * [backup-simplify]: Simplify 1 into 1
4.026 * [backup-simplify]: Simplify (* 1 1) into 1
4.026 * [backup-simplify]: Simplify (/ 1 1) into 1
4.026 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.026 * [taylor]: Taking taylor expansion of 2.0 in x
4.026 * [backup-simplify]: Simplify 2.0 into 2.0
4.026 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.026 * [taylor]: Taking taylor expansion of (* x y) in x
4.026 * [taylor]: Taking taylor expansion of x in x
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 1 into 1
4.026 * [taylor]: Taking taylor expansion of y in x
4.026 * [backup-simplify]: Simplify y into y
4.026 * [backup-simplify]: Simplify (* 0 y) into 0
4.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.026 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.027 * [backup-simplify]: Simplify (+ 1 0) into 1
4.027 * [backup-simplify]: Simplify (+ 0 1) into 1
4.027 * [backup-simplify]: Simplify (sqrt 1) into 1
4.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.028 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.028 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.028 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.028 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.029 * [taylor]: Taking taylor expansion of 1 in y
4.029 * [backup-simplify]: Simplify 1 into 1
4.029 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
4.029 * [taylor]: Taking taylor expansion of 1.0 in y
4.029 * [backup-simplify]: Simplify 1.0 into 1.0
4.029 * [taylor]: Taking taylor expansion of y in y
4.029 * [backup-simplify]: Simplify 0 into 0
4.029 * [backup-simplify]: Simplify 1 into 1
4.029 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
4.029 * [backup-simplify]: Simplify 1.0 into 1.0
4.029 * [backup-simplify]: Simplify 1 into 1
4.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.031 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.031 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
4.031 * [backup-simplify]: Simplify (+ 0 0) into 0
4.031 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.032 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
4.032 * [taylor]: Taking taylor expansion of 0 in y
4.032 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify 0 into 0
4.033 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.035 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.035 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.036 * [backup-simplify]: Simplify (+ 0 0) into 0
4.036 * [backup-simplify]: Simplify (+ 0 0) into 0
4.036 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.036 * [taylor]: Taking taylor expansion of 0 in y
4.036 * [backup-simplify]: Simplify 0 into 0
4.036 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.037 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify 0 into 0
4.037 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.041 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
4.041 * [backup-simplify]: Simplify (+ 0 0) into 0
4.041 * [backup-simplify]: Simplify (+ 0 0) into 0
4.042 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.042 * [taylor]: Taking taylor expansion of 0 in y
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1.0 y))
4.043 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- x)) 2) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
4.043 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
4.043 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
4.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
4.043 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.043 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.043 * [taylor]: Taking taylor expansion of y in y
4.043 * [backup-simplify]: Simplify 0 into 0
4.043 * [backup-simplify]: Simplify 1 into 1
4.043 * [backup-simplify]: Simplify (* 1 1) into 1
4.043 * [backup-simplify]: Simplify (/ 1 1) into 1
4.043 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
4.043 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.043 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.043 * [taylor]: Taking taylor expansion of x in y
4.043 * [backup-simplify]: Simplify x into x
4.044 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.044 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
4.044 * [taylor]: Taking taylor expansion of 2.0 in y
4.044 * [backup-simplify]: Simplify 2.0 into 2.0
4.044 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
4.044 * [taylor]: Taking taylor expansion of (* x y) in y
4.044 * [taylor]: Taking taylor expansion of x in y
4.044 * [backup-simplify]: Simplify x into x
4.044 * [taylor]: Taking taylor expansion of y in y
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 1 into 1
4.044 * [backup-simplify]: Simplify (* x 0) into 0
4.044 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.044 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.044 * [backup-simplify]: Simplify (+ 1 0) into 1
4.045 * [backup-simplify]: Simplify (sqrt 1) into 1
4.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.046 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
4.046 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
4.046 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
4.046 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
4.046 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.046 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.046 * [taylor]: Taking taylor expansion of y in x
4.046 * [backup-simplify]: Simplify y into y
4.046 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.047 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.047 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.047 * [taylor]: Taking taylor expansion of x in x
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 1 into 1
4.047 * [backup-simplify]: Simplify (* 1 1) into 1
4.047 * [backup-simplify]: Simplify (/ 1 1) into 1
4.047 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.047 * [taylor]: Taking taylor expansion of 2.0 in x
4.047 * [backup-simplify]: Simplify 2.0 into 2.0
4.047 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.047 * [taylor]: Taking taylor expansion of (* x y) in x
4.047 * [taylor]: Taking taylor expansion of x in x
4.047 * [backup-simplify]: Simplify 0 into 0
4.047 * [backup-simplify]: Simplify 1 into 1
4.047 * [taylor]: Taking taylor expansion of y in x
4.047 * [backup-simplify]: Simplify y into y
4.047 * [backup-simplify]: Simplify (* 0 y) into 0
4.048 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.048 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.048 * [backup-simplify]: Simplify (+ 1 0) into 1
4.049 * [backup-simplify]: Simplify (+ 0 1) into 1
4.049 * [backup-simplify]: Simplify (sqrt 1) into 1
4.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.050 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.050 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.050 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.050 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.050 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.050 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.050 * [taylor]: Taking taylor expansion of y in x
4.050 * [backup-simplify]: Simplify y into y
4.050 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.051 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.051 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.051 * [taylor]: Taking taylor expansion of x in x
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (* 1 1) into 1
4.051 * [backup-simplify]: Simplify (/ 1 1) into 1
4.051 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.051 * [taylor]: Taking taylor expansion of 2.0 in x
4.051 * [backup-simplify]: Simplify 2.0 into 2.0
4.051 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.051 * [taylor]: Taking taylor expansion of (* x y) in x
4.051 * [taylor]: Taking taylor expansion of x in x
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 1 into 1
4.051 * [taylor]: Taking taylor expansion of y in x
4.051 * [backup-simplify]: Simplify y into y
4.051 * [backup-simplify]: Simplify (* 0 y) into 0
4.052 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.052 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.052 * [backup-simplify]: Simplify (+ 1 0) into 1
4.052 * [backup-simplify]: Simplify (+ 0 1) into 1
4.052 * [backup-simplify]: Simplify (sqrt 1) into 1
4.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.053 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.053 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.053 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.054 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.054 * [taylor]: Taking taylor expansion of 1 in y
4.054 * [backup-simplify]: Simplify 1 into 1
4.054 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
4.054 * [taylor]: Taking taylor expansion of 1.0 in y
4.054 * [backup-simplify]: Simplify 1.0 into 1.0
4.054 * [taylor]: Taking taylor expansion of y in y
4.054 * [backup-simplify]: Simplify 0 into 0
4.054 * [backup-simplify]: Simplify 1 into 1
4.054 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
4.054 * [backup-simplify]: Simplify 1.0 into 1.0
4.054 * [backup-simplify]: Simplify 1 into 1
4.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.056 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.056 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.056 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
4.057 * [backup-simplify]: Simplify (+ 0 0) into 0
4.057 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.057 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
4.057 * [taylor]: Taking taylor expansion of 0 in y
4.057 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.058 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.060 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.061 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.061 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (+ 0 0) into 0
4.063 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.064 * [taylor]: Taking taylor expansion of 0 in y
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 0 into 0
4.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.065 * [backup-simplify]: Simplify 0 into 0
4.065 * [backup-simplify]: Simplify 0 into 0
4.065 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.069 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.070 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
4.071 * [backup-simplify]: Simplify (+ 0 0) into 0
4.071 * [backup-simplify]: Simplify (+ 0 0) into 0
4.072 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.072 * [taylor]: Taking taylor expansion of 0 in y
4.072 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1.0 y)))
4.072 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
4.073 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))))
4.073 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in (x y) around 0
4.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y
4.073 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
4.073 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.073 * [taylor]: Taking taylor expansion of y in y
4.073 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify 1 into 1
4.073 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
4.073 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.073 * [taylor]: Taking taylor expansion of x in y
4.073 * [backup-simplify]: Simplify x into x
4.073 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
4.073 * [taylor]: Taking taylor expansion of 2.0 in y
4.073 * [backup-simplify]: Simplify 2.0 into 2.0
4.073 * [taylor]: Taking taylor expansion of (* x y) in y
4.073 * [taylor]: Taking taylor expansion of x in y
4.073 * [backup-simplify]: Simplify x into x
4.073 * [taylor]: Taking taylor expansion of y in y
4.073 * [backup-simplify]: Simplify 0 into 0
4.073 * [backup-simplify]: Simplify 1 into 1
4.073 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.073 * [backup-simplify]: Simplify (* x 0) into 0
4.074 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.074 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.074 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.074 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.074 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.075 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.075 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x)
4.075 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
4.075 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
4.076 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0
4.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
4.076 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
4.076 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.076 * [taylor]: Taking taylor expansion of y in x
4.076 * [backup-simplify]: Simplify y into y
4.076 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
4.076 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.076 * [taylor]: Taking taylor expansion of x in x
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 1 into 1
4.076 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
4.076 * [taylor]: Taking taylor expansion of 2.0 in x
4.076 * [backup-simplify]: Simplify 2.0 into 2.0
4.076 * [taylor]: Taking taylor expansion of (* x y) in x
4.076 * [taylor]: Taking taylor expansion of x in x
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 1 into 1
4.076 * [taylor]: Taking taylor expansion of y in x
4.076 * [backup-simplify]: Simplify y into y
4.076 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.076 * [backup-simplify]: Simplify (* 0 y) into 0
4.077 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.077 * [backup-simplify]: Simplify (+ 0 0) into 0
4.077 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.077 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.077 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.078 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.078 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
4.078 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.078 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.079 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
4.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
4.079 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
4.079 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.079 * [taylor]: Taking taylor expansion of y in x
4.079 * [backup-simplify]: Simplify y into y
4.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
4.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.079 * [taylor]: Taking taylor expansion of x in x
4.079 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify 1 into 1
4.079 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
4.079 * [taylor]: Taking taylor expansion of 2.0 in x
4.079 * [backup-simplify]: Simplify 2.0 into 2.0
4.079 * [taylor]: Taking taylor expansion of (* x y) in x
4.079 * [taylor]: Taking taylor expansion of x in x
4.079 * [backup-simplify]: Simplify 0 into 0
4.079 * [backup-simplify]: Simplify 1 into 1
4.079 * [taylor]: Taking taylor expansion of y in x
4.079 * [backup-simplify]: Simplify y into y
4.079 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.079 * [backup-simplify]: Simplify (* 0 y) into 0
4.080 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.080 * [backup-simplify]: Simplify (+ 0 0) into 0
4.080 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.080 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.080 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.081 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.081 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
4.081 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.081 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.081 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
4.082 * [taylor]: Taking taylor expansion of y in y
4.082 * [backup-simplify]: Simplify 0 into 0
4.082 * [backup-simplify]: Simplify 1 into 1
4.082 * [backup-simplify]: Simplify 0 into 0
4.082 * [taylor]: Taking taylor expansion of 1.0 in y
4.082 * [backup-simplify]: Simplify 1.0 into 1.0
4.082 * [backup-simplify]: Simplify 1.0 into 1.0
4.082 * [backup-simplify]: Simplify 1 into 1
4.082 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.083 * [backup-simplify]: Simplify (* 1 1) into 1
4.083 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.084 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0
4.085 * [backup-simplify]: Simplify (+ 1 0) into 1
4.085 * [backup-simplify]: Simplify (+ 0 1) into 1
4.086 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 y)) into 0
4.087 * [taylor]: Taking taylor expansion of 0 in y
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify 0 into 0
4.087 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.090 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0
4.091 * [backup-simplify]: Simplify (+ 0 0) into 0
4.091 * [backup-simplify]: Simplify (+ 0 0) into 0
4.092 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0
4.092 * [taylor]: Taking taylor expansion of 0 in y
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ (* 1.0 x) y)
4.093 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 x) 2) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
4.093 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
4.093 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
4.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.093 * [taylor]: Taking taylor expansion of y in y
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify (* 1 1) into 1
4.094 * [backup-simplify]: Simplify (/ 1 1) into 1
4.094 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
4.094 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.094 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.094 * [taylor]: Taking taylor expansion of x in y
4.094 * [backup-simplify]: Simplify x into x
4.094 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.094 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
4.094 * [taylor]: Taking taylor expansion of 2.0 in y
4.094 * [backup-simplify]: Simplify 2.0 into 2.0
4.094 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
4.094 * [taylor]: Taking taylor expansion of (* x y) in y
4.094 * [taylor]: Taking taylor expansion of x in y
4.094 * [backup-simplify]: Simplify x into x
4.094 * [taylor]: Taking taylor expansion of y in y
4.094 * [backup-simplify]: Simplify 0 into 0
4.094 * [backup-simplify]: Simplify 1 into 1
4.094 * [backup-simplify]: Simplify (* x 0) into 0
4.095 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.095 * [backup-simplify]: Simplify (+ 1 0) into 1
4.096 * [backup-simplify]: Simplify (sqrt 1) into 1
4.096 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.097 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
4.097 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
4.097 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
4.098 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
4.098 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.098 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.098 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.098 * [taylor]: Taking taylor expansion of y in x
4.098 * [backup-simplify]: Simplify y into y
4.099 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.099 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.099 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.099 * [taylor]: Taking taylor expansion of x in x
4.099 * [backup-simplify]: Simplify 0 into 0
4.099 * [backup-simplify]: Simplify 1 into 1
4.099 * [backup-simplify]: Simplify (* 1 1) into 1
4.100 * [backup-simplify]: Simplify (/ 1 1) into 1
4.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.100 * [taylor]: Taking taylor expansion of 2.0 in x
4.100 * [backup-simplify]: Simplify 2.0 into 2.0
4.100 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.100 * [taylor]: Taking taylor expansion of (* x y) in x
4.100 * [taylor]: Taking taylor expansion of x in x
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [backup-simplify]: Simplify 1 into 1
4.100 * [taylor]: Taking taylor expansion of y in x
4.100 * [backup-simplify]: Simplify y into y
4.100 * [backup-simplify]: Simplify (* 0 y) into 0
4.100 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.101 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.101 * [backup-simplify]: Simplify (+ 1 0) into 1
4.101 * [backup-simplify]: Simplify (+ 0 1) into 1
4.102 * [backup-simplify]: Simplify (sqrt 1) into 1
4.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.103 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.103 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.103 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.104 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.104 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.104 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.104 * [taylor]: Taking taylor expansion of y in x
4.104 * [backup-simplify]: Simplify y into y
4.104 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.105 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.105 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.105 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.105 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.105 * [taylor]: Taking taylor expansion of x in x
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [backup-simplify]: Simplify 1 into 1
4.105 * [backup-simplify]: Simplify (* 1 1) into 1
4.106 * [backup-simplify]: Simplify (/ 1 1) into 1
4.106 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.106 * [taylor]: Taking taylor expansion of 2.0 in x
4.106 * [backup-simplify]: Simplify 2.0 into 2.0
4.106 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.106 * [taylor]: Taking taylor expansion of (* x y) in x
4.106 * [taylor]: Taking taylor expansion of x in x
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [taylor]: Taking taylor expansion of y in x
4.106 * [backup-simplify]: Simplify y into y
4.106 * [backup-simplify]: Simplify (* 0 y) into 0
4.106 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.106 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.107 * [backup-simplify]: Simplify (+ 1 0) into 1
4.107 * [backup-simplify]: Simplify (+ 0 1) into 1
4.108 * [backup-simplify]: Simplify (sqrt 1) into 1
4.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.109 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.109 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.109 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.110 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.110 * [taylor]: Taking taylor expansion of 1 in y
4.110 * [backup-simplify]: Simplify 1 into 1
4.110 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
4.110 * [taylor]: Taking taylor expansion of 1.0 in y
4.110 * [backup-simplify]: Simplify 1.0 into 1.0
4.110 * [taylor]: Taking taylor expansion of y in y
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 1 into 1
4.111 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
4.111 * [backup-simplify]: Simplify 1.0 into 1.0
4.111 * [backup-simplify]: Simplify 1 into 1
4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.114 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.114 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
4.115 * [backup-simplify]: Simplify (+ 0 0) into 0
4.115 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.116 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
4.116 * [taylor]: Taking taylor expansion of 0 in y
4.116 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.121 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.122 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.123 * [backup-simplify]: Simplify (+ 0 0) into 0
4.123 * [backup-simplify]: Simplify (+ 0 0) into 0
4.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.124 * [taylor]: Taking taylor expansion of 0 in y
4.124 * [backup-simplify]: Simplify 0 into 0
4.124 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify 0 into 0
4.125 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.130 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.131 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
4.131 * [backup-simplify]: Simplify (+ 0 0) into 0
4.132 * [backup-simplify]: Simplify (+ 0 0) into 0
4.133 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.133 * [taylor]: Taking taylor expansion of 0 in y
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify 0 into 0
4.133 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1.0 y))
4.134 * [backup-simplify]: Simplify (sqrt (+ (pow (/ 1 (- x)) 2) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
4.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
4.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
4.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
4.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.134 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.134 * [taylor]: Taking taylor expansion of y in y
4.134 * [backup-simplify]: Simplify 0 into 0
4.134 * [backup-simplify]: Simplify 1 into 1
4.135 * [backup-simplify]: Simplify (* 1 1) into 1
4.135 * [backup-simplify]: Simplify (/ 1 1) into 1
4.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
4.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.135 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.135 * [taylor]: Taking taylor expansion of x in y
4.135 * [backup-simplify]: Simplify x into x
4.135 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.135 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.135 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
4.135 * [taylor]: Taking taylor expansion of 2.0 in y
4.136 * [backup-simplify]: Simplify 2.0 into 2.0
4.136 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
4.136 * [taylor]: Taking taylor expansion of (* x y) in y
4.136 * [taylor]: Taking taylor expansion of x in y
4.136 * [backup-simplify]: Simplify x into x
4.136 * [taylor]: Taking taylor expansion of y in y
4.136 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify 1 into 1
4.136 * [backup-simplify]: Simplify (* x 0) into 0
4.136 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.136 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.137 * [backup-simplify]: Simplify (+ 1 0) into 1
4.137 * [backup-simplify]: Simplify (sqrt 1) into 1
4.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.139 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
4.139 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
4.140 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
4.140 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
4.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.140 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.140 * [taylor]: Taking taylor expansion of y in x
4.140 * [backup-simplify]: Simplify y into y
4.141 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.141 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.141 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.141 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.141 * [taylor]: Taking taylor expansion of x in x
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.141 * [backup-simplify]: Simplify (* 1 1) into 1
4.142 * [backup-simplify]: Simplify (/ 1 1) into 1
4.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.142 * [taylor]: Taking taylor expansion of 2.0 in x
4.142 * [backup-simplify]: Simplify 2.0 into 2.0
4.142 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.142 * [taylor]: Taking taylor expansion of (* x y) in x
4.142 * [taylor]: Taking taylor expansion of x in x
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 1 into 1
4.142 * [taylor]: Taking taylor expansion of y in x
4.142 * [backup-simplify]: Simplify y into y
4.142 * [backup-simplify]: Simplify (* 0 y) into 0
4.142 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.142 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.143 * [backup-simplify]: Simplify (+ 1 0) into 1
4.143 * [backup-simplify]: Simplify (+ 0 1) into 1
4.144 * [backup-simplify]: Simplify (sqrt 1) into 1
4.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.145 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.145 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.145 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.146 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.146 * [taylor]: Taking taylor expansion of y in x
4.146 * [backup-simplify]: Simplify y into y
4.146 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.146 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.146 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.146 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.146 * [taylor]: Taking taylor expansion of x in x
4.146 * [backup-simplify]: Simplify 0 into 0
4.146 * [backup-simplify]: Simplify 1 into 1
4.147 * [backup-simplify]: Simplify (* 1 1) into 1
4.147 * [backup-simplify]: Simplify (/ 1 1) into 1
4.147 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.147 * [taylor]: Taking taylor expansion of 2.0 in x
4.147 * [backup-simplify]: Simplify 2.0 into 2.0
4.147 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.147 * [taylor]: Taking taylor expansion of (* x y) in x
4.147 * [taylor]: Taking taylor expansion of x in x
4.147 * [backup-simplify]: Simplify 0 into 0
4.147 * [backup-simplify]: Simplify 1 into 1
4.147 * [taylor]: Taking taylor expansion of y in x
4.147 * [backup-simplify]: Simplify y into y
4.147 * [backup-simplify]: Simplify (* 0 y) into 0
4.147 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.147 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.148 * [backup-simplify]: Simplify (+ 1 0) into 1
4.148 * [backup-simplify]: Simplify (+ 0 1) into 1
4.148 * [backup-simplify]: Simplify (sqrt 1) into 1
4.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.149 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.149 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.149 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.150 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.150 * [taylor]: Taking taylor expansion of 1 in y
4.150 * [backup-simplify]: Simplify 1 into 1
4.150 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
4.150 * [taylor]: Taking taylor expansion of 1.0 in y
4.150 * [backup-simplify]: Simplify 1.0 into 1.0
4.150 * [taylor]: Taking taylor expansion of y in y
4.150 * [backup-simplify]: Simplify 0 into 0
4.150 * [backup-simplify]: Simplify 1 into 1
4.150 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
4.150 * [backup-simplify]: Simplify 1.0 into 1.0
4.150 * [backup-simplify]: Simplify 1 into 1
4.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.152 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
4.152 * [backup-simplify]: Simplify (+ 0 0) into 0
4.152 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.153 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
4.153 * [taylor]: Taking taylor expansion of 0 in y
4.153 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify 0 into 0
4.154 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.156 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.156 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.157 * [backup-simplify]: Simplify (+ 0 0) into 0
4.157 * [backup-simplify]: Simplify (+ 0 0) into 0
4.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.157 * [taylor]: Taking taylor expansion of 0 in y
4.157 * [backup-simplify]: Simplify 0 into 0
4.157 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.158 * [backup-simplify]: Simplify 0 into 0
4.158 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.161 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.162 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
4.162 * [backup-simplify]: Simplify (+ 0 0) into 0
4.162 * [backup-simplify]: Simplify (+ 0 0) into 0
4.163 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.163 * [taylor]: Taking taylor expansion of 0 in y
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify 0 into 0
4.163 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1.0 y)))
4.163 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
4.164 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) into (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))))
4.164 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in (x y) around 0
4.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in y
4.164 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in y
4.164 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.164 * [taylor]: Taking taylor expansion of y in y
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 1 into 1
4.164 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in y
4.164 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.164 * [taylor]: Taking taylor expansion of x in y
4.164 * [backup-simplify]: Simplify x into x
4.164 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in y
4.164 * [taylor]: Taking taylor expansion of 2.0 in y
4.164 * [backup-simplify]: Simplify 2.0 into 2.0
4.164 * [taylor]: Taking taylor expansion of (* x y) in y
4.164 * [taylor]: Taking taylor expansion of x in y
4.164 * [backup-simplify]: Simplify x into x
4.164 * [taylor]: Taking taylor expansion of y in y
4.164 * [backup-simplify]: Simplify 0 into 0
4.164 * [backup-simplify]: Simplify 1 into 1
4.164 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.164 * [backup-simplify]: Simplify (* x 0) into 0
4.164 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.165 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.165 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
4.165 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.165 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.165 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.165 * [backup-simplify]: Simplify (+ (* 2.0 x) (* 0 0)) into (* 2.0 x)
4.165 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
4.165 * [backup-simplify]: Simplify (+ 0 (* 2.0 x)) into (* 2.0 x)
4.166 * [backup-simplify]: Simplify (/ (* 2.0 x) (* 2 (sqrt (pow x 2)))) into 1.0
4.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
4.166 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
4.166 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.166 * [taylor]: Taking taylor expansion of y in x
4.166 * [backup-simplify]: Simplify y into y
4.166 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
4.166 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.166 * [taylor]: Taking taylor expansion of x in x
4.166 * [backup-simplify]: Simplify 0 into 0
4.166 * [backup-simplify]: Simplify 1 into 1
4.166 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
4.166 * [taylor]: Taking taylor expansion of 2.0 in x
4.166 * [backup-simplify]: Simplify 2.0 into 2.0
4.166 * [taylor]: Taking taylor expansion of (* x y) in x
4.166 * [taylor]: Taking taylor expansion of x in x
4.166 * [backup-simplify]: Simplify 0 into 0
4.166 * [backup-simplify]: Simplify 1 into 1
4.166 * [taylor]: Taking taylor expansion of y in x
4.166 * [backup-simplify]: Simplify y into y
4.166 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.166 * [backup-simplify]: Simplify (* 0 y) into 0
4.166 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.167 * [backup-simplify]: Simplify (+ 0 0) into 0
4.167 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.167 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.167 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.167 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.167 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
4.167 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.167 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.168 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
4.168 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y))))) in x
4.168 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (* 2.0 (* x y)))) in x
4.168 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.168 * [taylor]: Taking taylor expansion of y in x
4.168 * [backup-simplify]: Simplify y into y
4.168 * [taylor]: Taking taylor expansion of (+ (pow x 2) (* 2.0 (* x y))) in x
4.168 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.168 * [taylor]: Taking taylor expansion of x in x
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify 1 into 1
4.168 * [taylor]: Taking taylor expansion of (* 2.0 (* x y)) in x
4.168 * [taylor]: Taking taylor expansion of 2.0 in x
4.168 * [backup-simplify]: Simplify 2.0 into 2.0
4.168 * [taylor]: Taking taylor expansion of (* x y) in x
4.168 * [taylor]: Taking taylor expansion of x in x
4.168 * [backup-simplify]: Simplify 0 into 0
4.168 * [backup-simplify]: Simplify 1 into 1
4.168 * [taylor]: Taking taylor expansion of y in x
4.168 * [backup-simplify]: Simplify y into y
4.168 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.168 * [backup-simplify]: Simplify (* 0 y) into 0
4.168 * [backup-simplify]: Simplify (* 2.0 0) into 0
4.168 * [backup-simplify]: Simplify (+ 0 0) into 0
4.169 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
4.169 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.169 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.169 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.169 * [backup-simplify]: Simplify (+ (* 2.0 y) (* 0 0)) into (* 2.0 y)
4.169 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.169 * [backup-simplify]: Simplify (+ 0 (* 2.0 y)) into (* 2.0 y)
4.170 * [backup-simplify]: Simplify (/ (* 2.0 y) (* 2 (sqrt (pow y 2)))) into 1.0
4.170 * [taylor]: Taking taylor expansion of y in y
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [backup-simplify]: Simplify 1 into 1
4.170 * [backup-simplify]: Simplify 0 into 0
4.170 * [taylor]: Taking taylor expansion of 1.0 in y
4.170 * [backup-simplify]: Simplify 1.0 into 1.0
4.170 * [backup-simplify]: Simplify 1.0 into 1.0
4.170 * [backup-simplify]: Simplify 1 into 1
4.170 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.170 * [backup-simplify]: Simplify (* 1 1) into 1
4.171 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.171 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 y) (* 0 0))) into 0
4.172 * [backup-simplify]: Simplify (+ 1 0) into 1
4.172 * [backup-simplify]: Simplify (+ 0 1) into 1
4.173 * [backup-simplify]: Simplify (/ (- 1 (pow 1.0 2) (+)) (* 2 y)) into 0
4.173 * [taylor]: Taking taylor expansion of 0 in y
4.173 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify 0 into 0
4.173 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.175 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.176 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 y) (* 0 0)))) into 0
4.177 * [backup-simplify]: Simplify (+ 0 0) into 0
4.177 * [backup-simplify]: Simplify (+ 0 0) into 0
4.178 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 1.0 0)))) (* 2 y)) into 0
4.178 * [taylor]: Taking taylor expansion of 0 in y
4.178 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify 0 into 0
4.178 * [backup-simplify]: Simplify (+ (* 1 (* y 1)) (* 1.0 (* 1 x))) into (+ (* 1.0 x) y)
4.179 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (pow (/ 1 x) 2) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x))))))) (sqrt (sqrt (+ (pow (/ 1 x) 2) (* (/ 1 y) (+ (/ 1 y) (* 2.0 (/ 1 x)))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
4.179 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
4.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
4.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
4.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.179 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.180 * [taylor]: Taking taylor expansion of y in y
4.180 * [backup-simplify]: Simplify 0 into 0
4.180 * [backup-simplify]: Simplify 1 into 1
4.180 * [backup-simplify]: Simplify (* 1 1) into 1
4.180 * [backup-simplify]: Simplify (/ 1 1) into 1
4.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
4.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.181 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.181 * [taylor]: Taking taylor expansion of x in y
4.181 * [backup-simplify]: Simplify x into x
4.181 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.181 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.181 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
4.181 * [taylor]: Taking taylor expansion of 2.0 in y
4.181 * [backup-simplify]: Simplify 2.0 into 2.0
4.181 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
4.181 * [taylor]: Taking taylor expansion of (* x y) in y
4.181 * [taylor]: Taking taylor expansion of x in y
4.181 * [backup-simplify]: Simplify x into x
4.181 * [taylor]: Taking taylor expansion of y in y
4.181 * [backup-simplify]: Simplify 0 into 0
4.181 * [backup-simplify]: Simplify 1 into 1
4.181 * [backup-simplify]: Simplify (* x 0) into 0
4.182 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.182 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.182 * [backup-simplify]: Simplify (+ 1 0) into 1
4.182 * [backup-simplify]: Simplify (sqrt 1) into 1
4.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.184 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
4.184 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
4.184 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
4.185 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
4.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.185 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.185 * [taylor]: Taking taylor expansion of y in x
4.185 * [backup-simplify]: Simplify y into y
4.185 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.185 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.185 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.185 * [taylor]: Taking taylor expansion of x in x
4.185 * [backup-simplify]: Simplify 0 into 0
4.185 * [backup-simplify]: Simplify 1 into 1
4.186 * [backup-simplify]: Simplify (* 1 1) into 1
4.186 * [backup-simplify]: Simplify (/ 1 1) into 1
4.186 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.186 * [taylor]: Taking taylor expansion of 2.0 in x
4.186 * [backup-simplify]: Simplify 2.0 into 2.0
4.186 * [taylor]: Taking taylor expansion of (/ 1 (* 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 * [backup-simplify]: Simplify (* 0 y) into 0
4.187 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.187 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.187 * [backup-simplify]: Simplify (+ 1 0) into 1
4.188 * [backup-simplify]: Simplify (+ 0 1) into 1
4.188 * [backup-simplify]: Simplify (sqrt 1) into 1
4.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.190 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.190 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.190 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.191 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.191 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.191 * [taylor]: Taking taylor expansion of y in x
4.191 * [backup-simplify]: Simplify y into y
4.191 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.191 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.191 * [taylor]: Taking taylor expansion of x in x
4.191 * [backup-simplify]: Simplify 0 into 0
4.191 * [backup-simplify]: Simplify 1 into 1
4.192 * [backup-simplify]: Simplify (* 1 1) into 1
4.192 * [backup-simplify]: Simplify (/ 1 1) into 1
4.192 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.192 * [taylor]: Taking taylor expansion of 2.0 in x
4.192 * [backup-simplify]: Simplify 2.0 into 2.0
4.192 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.192 * [taylor]: Taking taylor expansion of (* x y) in x
4.192 * [taylor]: Taking taylor expansion of x in x
4.192 * [backup-simplify]: Simplify 0 into 0
4.192 * [backup-simplify]: Simplify 1 into 1
4.192 * [taylor]: Taking taylor expansion of y in x
4.192 * [backup-simplify]: Simplify y into y
4.193 * [backup-simplify]: Simplify (* 0 y) into 0
4.193 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.193 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.193 * [backup-simplify]: Simplify (+ 1 0) into 1
4.194 * [backup-simplify]: Simplify (+ 0 1) into 1
4.194 * [backup-simplify]: Simplify (sqrt 1) into 1
4.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.196 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.196 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.196 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.197 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.197 * [taylor]: Taking taylor expansion of 1 in y
4.197 * [backup-simplify]: Simplify 1 into 1
4.197 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
4.197 * [taylor]: Taking taylor expansion of 1.0 in y
4.197 * [backup-simplify]: Simplify 1.0 into 1.0
4.197 * [taylor]: Taking taylor expansion of y in y
4.197 * [backup-simplify]: Simplify 0 into 0
4.197 * [backup-simplify]: Simplify 1 into 1
4.200 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
4.200 * [backup-simplify]: Simplify 1.0 into 1.0
4.200 * [backup-simplify]: Simplify 1 into 1
4.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.203 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.204 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
4.205 * [backup-simplify]: Simplify (+ 0 0) into 0
4.205 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.206 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
4.206 * [taylor]: Taking taylor expansion of 0 in y
4.206 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.211 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.212 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.213 * [backup-simplify]: Simplify (+ 0 0) into 0
4.213 * [backup-simplify]: Simplify (+ 0 0) into 0
4.213 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.213 * [taylor]: Taking taylor expansion of 0 in y
4.214 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.220 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.221 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
4.221 * [backup-simplify]: Simplify (+ 0 0) into 0
4.222 * [backup-simplify]: Simplify (+ 0 0) into 0
4.223 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.223 * [taylor]: Taking taylor expansion of 0 in y
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify 0 into 0
4.223 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 x)))) (* 1.0 (* (/ 1 (/ 1 y)) 1))) into (+ x (* 1.0 y))
4.225 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (pow (/ 1 (- x)) 2) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x)))))))) (sqrt (sqrt (+ (pow (/ 1 (- x)) 2) (* (/ 1 (- y)) (+ (/ 1 (- y)) (* 2.0 (/ 1 (- x))))))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))))
4.225 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in (x y) around 0
4.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in y
4.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in y
4.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.225 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.225 * [taylor]: Taking taylor expansion of y in y
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 1 into 1
4.225 * [backup-simplify]: Simplify (* 1 1) into 1
4.226 * [backup-simplify]: Simplify (/ 1 1) into 1
4.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in y
4.226 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.226 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.226 * [taylor]: Taking taylor expansion of x in y
4.226 * [backup-simplify]: Simplify x into x
4.226 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.226 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.226 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in y
4.226 * [taylor]: Taking taylor expansion of 2.0 in y
4.226 * [backup-simplify]: Simplify 2.0 into 2.0
4.226 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in y
4.226 * [taylor]: Taking taylor expansion of (* x y) in y
4.226 * [taylor]: Taking taylor expansion of x in y
4.226 * [backup-simplify]: Simplify x into x
4.226 * [taylor]: Taking taylor expansion of y in y
4.226 * [backup-simplify]: Simplify 0 into 0
4.226 * [backup-simplify]: Simplify 1 into 1
4.226 * [backup-simplify]: Simplify (* x 0) into 0
4.227 * [backup-simplify]: Simplify (+ (* x 1) (* 0 0)) into x
4.227 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.227 * [backup-simplify]: Simplify (+ 1 0) into 1
4.228 * [backup-simplify]: Simplify (sqrt 1) into 1
4.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.229 * [backup-simplify]: Simplify (* 2.0 (/ 1 x)) into (/ 2.0 x)
4.229 * [backup-simplify]: Simplify (+ 0 (/ 2.0 x)) into (* 2.0 (/ 1 x))
4.229 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 x))) into (* 2.0 (/ 1 x))
4.230 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 x)) (* 2 (sqrt 1))) into (/ 1.0 x)
4.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.230 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.230 * [taylor]: Taking taylor expansion of y in x
4.230 * [backup-simplify]: Simplify y into y
4.230 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.230 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.230 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.230 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.231 * [taylor]: Taking taylor expansion of x in x
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [backup-simplify]: Simplify 1 into 1
4.231 * [backup-simplify]: Simplify (* 1 1) into 1
4.232 * [backup-simplify]: Simplify (/ 1 1) into 1
4.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.232 * [taylor]: Taking taylor expansion of 2.0 in x
4.232 * [backup-simplify]: Simplify 2.0 into 2.0
4.232 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.232 * [taylor]: Taking taylor expansion of (* x y) in x
4.232 * [taylor]: Taking taylor expansion of x in x
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify 1 into 1
4.232 * [taylor]: Taking taylor expansion of y in x
4.232 * [backup-simplify]: Simplify y into y
4.232 * [backup-simplify]: Simplify (* 0 y) into 0
4.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.233 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.233 * [backup-simplify]: Simplify (+ 1 0) into 1
4.233 * [backup-simplify]: Simplify (+ 0 1) into 1
4.234 * [backup-simplify]: Simplify (sqrt 1) into 1
4.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.235 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.235 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.235 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.236 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))))) in x
4.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y))))) in x
4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.236 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.236 * [taylor]: Taking taylor expansion of y in x
4.236 * [backup-simplify]: Simplify y into y
4.236 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.236 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (* 2.0 (/ 1 (* x y)))) in x
4.237 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.237 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.237 * [taylor]: Taking taylor expansion of x in x
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
4.237 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* x y))) in x
4.237 * [taylor]: Taking taylor expansion of 2.0 in x
4.237 * [backup-simplify]: Simplify 2.0 into 2.0
4.237 * [taylor]: Taking taylor expansion of (/ 1 (* x y)) in x
4.238 * [taylor]: Taking taylor expansion of (* x y) in x
4.238 * [taylor]: Taking taylor expansion of x in x
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [backup-simplify]: Simplify 1 into 1
4.238 * [taylor]: Taking taylor expansion of y in x
4.238 * [backup-simplify]: Simplify y into y
4.238 * [backup-simplify]: Simplify (* 0 y) into 0
4.238 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y)) into y
4.238 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
4.239 * [backup-simplify]: Simplify (+ 1 0) into 1
4.239 * [backup-simplify]: Simplify (+ 0 1) into 1
4.239 * [backup-simplify]: Simplify (sqrt 1) into 1
4.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.241 * [backup-simplify]: Simplify (* 2.0 (/ 1 y)) into (/ 2.0 y)
4.241 * [backup-simplify]: Simplify (+ 0 (/ 2.0 y)) into (* 2.0 (/ 1 y))
4.241 * [backup-simplify]: Simplify (+ 0 (* 2.0 (/ 1 y))) into (* 2.0 (/ 1 y))
4.242 * [backup-simplify]: Simplify (/ (* 2.0 (/ 1 y)) (* 2 (sqrt 1))) into (/ 1.0 y)
4.242 * [taylor]: Taking taylor expansion of 1 in y
4.242 * [backup-simplify]: Simplify 1 into 1
4.242 * [taylor]: Taking taylor expansion of (/ 1.0 y) in y
4.242 * [taylor]: Taking taylor expansion of 1.0 in y
4.242 * [backup-simplify]: Simplify 1.0 into 1.0
4.242 * [taylor]: Taking taylor expansion of y in y
4.242 * [backup-simplify]: Simplify 0 into 0
4.242 * [backup-simplify]: Simplify 1 into 1
4.242 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0
4.242 * [backup-simplify]: Simplify 1.0 into 1.0
4.242 * [backup-simplify]: Simplify 1 into 1
4.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 y))) into 0
4.245 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
4.246 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 y))) into 0
4.246 * [backup-simplify]: Simplify (+ 0 0) into 0
4.246 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
4.247 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow (/ 1.0 y) 2) (+)) (* 2 1)) into 0
4.247 * [taylor]: Taking taylor expansion of 0 in y
4.247 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0
4.248 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify 0 into 0
4.248 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 y)))) into 0
4.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.253 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
4.253 * [backup-simplify]: Simplify (+ 0 0) into 0
4.254 * [backup-simplify]: Simplify (+ 0 0) into 0
4.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.254 * [taylor]: Taking taylor expansion of 0 in y
4.254 * [backup-simplify]: Simplify 0 into 0
4.254 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.255 * [backup-simplify]: Simplify 0 into 0
4.255 * [backup-simplify]: Simplify 0 into 0
4.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.260 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)) (* 0 (/ 0 y)))) into 0
4.261 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y))))) into 0
4.262 * [backup-simplify]: Simplify (+ 0 0) into 0
4.262 * [backup-simplify]: Simplify (+ 0 0) into 0
4.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* (/ 1.0 y) 0)))) (* 2 1)) into 0
4.263 * [taylor]: Taking taylor expansion of 0 in y
4.263 * [backup-simplify]: Simplify 0 into 0
4.263 * [backup-simplify]: Simplify 0 into 0
4.264 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- x))))) (* 1.0 (* (/ 1 (/ 1 (- y))) 1))) into (- (+ x (* 1.0 y)))
4.264 * * * [progress]: simplifying candidates
4.268 * [simplify]: Simplifying:
  (log (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (exp (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (cbrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (* (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (* (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))) (cbrt (+ (* x x) (* y (+ y (* 2.0 x)))))))
  (sqrt (cbrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow (* x x) 3) (pow (* y (+ y (* 2.0 x))) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (* x x) (* y (+ y (* 2.0 x)))))))
  (sqrt (- (* (* x x) (* x x)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))
  (sqrt (- (* x x) (* y (+ y (* 2.0 x)))))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))))
  (log (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (exp (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (* (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (sqrt (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt 1)
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow (pow x 2) 3) (pow (* y (+ y (* 2.0 x))) 3)))
  (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (pow x 2) (* y (+ y (* 2.0 x)))))))
  (sqrt (- (* (pow x 2) (pow x 2)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))
  (sqrt (- (pow x 2) (* y (+ y (* 2.0 x)))))
  (/ 1 2)
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (log (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (exp (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (* (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (sqrt (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt 1)
  (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (sqrt (+ (pow (pow x 2) 3) (pow (* y (+ y (* 2.0 x))) 3)))
  (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (pow x 2) (* y (+ y (* 2.0 x)))))))
  (sqrt (- (* (pow x 2) (pow x 2)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))
  (sqrt (- (pow x 2) (* y (+ y (* 2.0 x)))))
  (/ 1 2)
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (+ (pow x 2) (* y (+ y (* 2.0 x)))) (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (* (+ (pow x 2) (* y (+ y (* 2.0 x)))) (+ (pow x 2) (* y (+ y (* 2.0 x)))))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (log (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (log (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (exp (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (* (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (* (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (cbrt (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))) (cbrt (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (cbrt (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (* (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))) (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))
  (sqrt (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (sqrt (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (+ (pow (pow x 2) 3) (pow (* y (+ y (* 2.0 x))) 3)))) (sqrt (sqrt (+ (pow (pow x 2) 3) (pow (* y (+ y (* 2.0 x))) 3)))))
  (* (sqrt (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (pow x 2) (* y (+ y (* 2.0 x)))))))) (sqrt (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (* (sqrt (sqrt (+ (pow (pow x 2) 3) (pow (* y (+ y (* 2.0 x))) 3)))) (sqrt (sqrt (- (* (pow x 2) (pow x 2)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (pow x 2) (* y (+ y (* 2.0 x)))))))) (sqrt (sqrt (- (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (- (* (pow x 2) (pow x 2)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow (pow x 2) 3) (pow (* y (+ y (* 2.0 x))) 3)))))
  (* (sqrt (sqrt (- (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (* (pow x 2) (pow x 2)) (- (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x)))) (* (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (* (sqrt (sqrt (- (* (pow x 2) (pow x 2)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (- (* (pow x 2) (pow x 2)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (- (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (- (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (* (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))) (* (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (* (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))) (sqrt (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (* (sqrt (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (* (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))) (sqrt (sqrt (* (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (* (sqrt (sqrt (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
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  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
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  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
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  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
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  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (* (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (* (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (* (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))) (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
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  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt 1))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) 1)
  (* (cbrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (cbrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (cbrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow (pow x 2) 3) (pow (* y (+ y (* 2.0 x))) 3)))))
  (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (- (* (pow x 2) (pow x 2)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))))
  (* (sqrt (sqrt (+ (pow (pow x 2) 3) (pow (* y (+ y (* 2.0 x))) 3)))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (- (* (pow x 2) (pow x 2)) (* (* y (+ y (* 2.0 x))) (* y (+ y (* 2.0 x))))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
4.274 * * [simplify]: iteration 0: 145 enodes
4.332 * * [simplify]: iteration 1: 301 enodes
4.428 * * [simplify]: iteration 2: 1271 enodes
4.897 * * [simplify]: iteration complete: 5001 enodes
4.897 * * [simplify]: Extracting #0: cost 33 inf + 0
4.898 * * [simplify]: Extracting #1: cost 517 inf + 3
4.901 * * [simplify]: Extracting #2: cost 1230 inf + 69
4.906 * * [simplify]: Extracting #3: cost 1707 inf + 597
4.913 * * [simplify]: Extracting #4: cost 1452 inf + 4246
4.932 * * [simplify]: Extracting #5: cost 791 inf + 14085
4.945 * * [simplify]: Extracting #6: cost 248 inf + 27165
4.958 * * [simplify]: Extracting #7: cost 11 inf + 33411
4.965 * * [simplify]: Extracting #8: cost 0 inf + 33583
4.972 * [simplify]: Simplified to:
  (log (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (exp (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (* (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))))
  (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (pow (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))) 3)
  (fabs (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  1
  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
  (sqrt (+ (pow x 6) (pow (* y (+ y (* 2.0 x))) 3)))
  (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (* x x)))))
  (sqrt (- (pow x 4) (* (* (* y (+ y (* 2.0 x))) y) (+ y (* 2.0 x)))))
  (sqrt (- (* x x) (* y (+ y (* 2.0 x)))))
  1/2
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (log (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (exp (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (* (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))))
  (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (pow (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))) 3)
  (fabs (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  1
  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
  (sqrt (+ (pow x 6) (pow (* y (+ y (* 2.0 x))) 3)))
  (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (* x x)))))
  (sqrt (- (pow x 4) (* (* (* y (+ y (* 2.0 x))) y) (+ y (* 2.0 x)))))
  (sqrt (- (* x x) (* y (+ y (* 2.0 x)))))
  1/2
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (log (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (exp (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (* (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))))
  (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (pow (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))) 3)
  (fabs (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  1
  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
  (sqrt (+ (pow x 6) (pow (* y (+ y (* 2.0 x))) 3)))
  (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (* x x)))))
  (sqrt (- (pow x 4) (* (* (* y (+ y (* 2.0 x))) y) (+ y (* 2.0 x)))))
  (sqrt (- (* x x) (* y (+ y (* 2.0 x)))))
  1/2
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (* y (+ y (* 2.0 x))) (* x x))
  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
  (pow (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))) (+ 3 1))
  (+ (* y (+ y (* 2.0 x))) (* x x))
  (pow (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))) (+ 3 1))
  2
  (log (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (log (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
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  (pow (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))) 3)
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  (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
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  (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (* x x)))))
  (* (sqrt (sqrt (+ (pow x 6) (pow (* y (+ y (* 2.0 x))) 3)))) (sqrt (sqrt (- (pow x 4) (* (* (* y (+ y (* 2.0 x))) y) (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (- (* x x) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 4) (* (* y (+ y (* 2.0 x))) (- (* y (+ y (* 2.0 x))) (* x x)))))))
  (* (sqrt (sqrt (+ (pow x 6) (pow (* y (+ y (* 2.0 x))) 3)))) (sqrt (sqrt (- (pow x 4) (* (* (* y (+ y (* 2.0 x))) y) (+ y (* 2.0 x)))))))
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  (* (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))))
  (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
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  (sqrt (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))
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  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
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  1
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  1
  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
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  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  1
  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
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  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
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  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
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  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  1
  2
  1/2
  1
  1/2
  (* (pow (cbrt (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))) (+ 3 1)) (cbrt (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))))
  (* (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (fabs (cbrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))))
  (* (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (sqrt (fabs (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))))
  (pow (sqrt (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))) 3)
  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
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  (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))
  (pow (cbrt (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))) (+ 3 1))
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  (* (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (sqrt (sqrt (cbrt (+ (* y (+ y (* 2.0 x))) (* x x))))))
  (pow (sqrt (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))) 3)
  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
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  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
  (pow (sqrt (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x))))) 3)
  (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))
  (* (sqrt (sqrt (+ (pow x 6) (pow (* y (+ y (* 2.0 x))) 3)))) (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))))
  (* (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (sqrt (sqrt (- (pow x 4) (* (* (* y (+ y (* 2.0 x))) y) (+ y (* 2.0 x)))))))
  (* (sqrt (sqrt (+ (pow x 6) (pow (* y (+ y (* 2.0 x))) 3)))) (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))))
  (* (sqrt (sqrt (+ (* y (+ y (* 2.0 x))) (* x x)))) (sqrt (sqrt (- (pow x 4) (* (* (* y (+ y (* 2.0 x))) y) (+ y (* 2.0 x)))))))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
  (+ (* 1.0 x) y)
  (+ x (* 1.0 y))
  (- (+ x (* 1.0 y)))
4.974 * * * [progress]: adding candidates to table
5.706 * [progress]: [Phase 3 of 3] Extracting.
5.706 * * [regime]: Finding splitpoints for: (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))> #<alt (λ (x y) (+ (* y y) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ x (* 2.0 y))))))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))> #<alt (λ (x y) (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))>)
5.709 * * * [regime-changes]: Trying 2 branch expressions: (y x)
5.709 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))> #<alt (λ (x y) (+ (* y y) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ x (* 2.0 y))))))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))> #<alt (λ (x y) (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))>)
5.780 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y) (* (sqrt (+ (* x x) (* y (+ y (* 2.0 x))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))> #<alt (λ (x y) (+ (* y y) (* (* (cbrt x) (cbrt x)) (* (cbrt x) (+ x (* 2.0 y))))))> #<alt (λ (x y) (* (* (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x)))))) (sqrt (sqrt (+ (pow x 2) (* y (+ y (* 2.0 x))))))) (sqrt (+ (* x x) (* y (+ y (* 2.0 x)))))))> #<alt (λ (x y) (+ (* y (* x 2.0)) (+ (pow y 2) (* x x))))>)
5.830 * * * [regime]: Found split indices: #<option (#s(si 3 255))>
5.831 * [simplify]: Simplifying:
  (+ (* y (* x 2.0)) (+ (pow y 2) (* x x)))
5.831 * * [simplify]: iteration 0: 10 enodes
5.832 * * [simplify]: iteration 1: 14 enodes
5.833 * * [simplify]: iteration complete: 14 enodes
5.833 * * [simplify]: Extracting #0: cost 1 inf + 0
5.833 * * [simplify]: Extracting #1: cost 3 inf + 0
5.833 * * [simplify]: Extracting #2: cost 7 inf + 0
5.833 * * [simplify]: Extracting #3: cost 9 inf + 1
5.833 * * [simplify]: Extracting #4: cost 0 inf + 38
5.833 * [simplify]: Simplified to:
  (+ (+ (* x x) (pow y 2)) (* (* 2.0 x) y))
7.784 * [regime-testing]: Baseline error score: 0.013824848418642476
7.788 * [regime-testing]: Oracle error score: 0.005698832666673479
7.797 * [regime-testing]: End program error score: 0.013824848418642476
7.868 * [regime-testing]: Target error score: 0.013824848418642476