20.478 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.030 * * * [progress]: [2/2] Setting up program.
0.034 * [progress]: [Phase 2 of 3] Improving.
0.034 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.034 * * [simplify]: Extracting # 0 : cost  0
0.034 * * [simplify]: Extracting # 1 : cost  0
0.034 * * [simplify]: Extracting # 2 : cost  0
0.034 * * [simplify]: Extracting # 3 : cost  0
0.034 * * [simplify]: Extracting # 4 : cost  0
0.034 * * [simplify]: Extracting # 5 : cost  0
0.034 * * [simplify]: Extracting # 6 : cost  0
0.034 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.037 * * [simplify]: Extracting # 0 : cost  0
0.037 * * [simplify]: Extracting # 1 : cost  0
0.037 * * [simplify]: Extracting # 2 : cost  0
0.037 * * [simplify]: iteration  1 :  14  enodes  (cost  11 )
0.041 * * [simplify]: Extracting # 0 : cost  0
0.041 * * [simplify]: Extracting # 1 : cost  0
0.041 * * [simplify]: Extracting # 2 : cost  0
0.041 * * [simplify]: iteration  2 :  24  enodes  (cost  10 )
0.047 * * [simplify]: Extracting # 0 : cost  0
0.047 * * [simplify]: Extracting # 1 : cost  0
0.047 * * [simplify]: iteration  3 :  30  enodes  (cost  10 )
0.051 * * [simplify]: Extracting # 0 : cost  0
0.051 * * [simplify]: iteration done:  30  enodes  (cost  10 )
0.051 * [simplify]: Simplified to:
  (sqrt (fma z z (fma x x (* y y))))
0.054 * * [progress]: iteration 1 / 4
0.054 * * * [progress]: picking best candidate
0.059 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))>
0.059 * * * [progress]: localizing error
0.079 * * * [progress]: generating rewritten candidates
0.079 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.083 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 3)
0.083 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.085 * * * [progress]: generating series expansions
0.085 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.085 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
0.085 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
0.085 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
0.086 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
0.086 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.086 * [taylor]: Taking taylor expansion of (* z z) in y
0.086 * [taylor]: Taking taylor expansion of z in y
0.086 * [backup-simplify]: Simplify z into z
0.086 * [taylor]: Taking taylor expansion of z in y
0.086 * [backup-simplify]: Simplify z into z
0.086 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.086 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.086 * [taylor]: Taking taylor expansion of (* x x) in y
0.086 * [taylor]: Taking taylor expansion of x in y
0.086 * [backup-simplify]: Simplify x into x
0.086 * [taylor]: Taking taylor expansion of x in y
0.086 * [backup-simplify]: Simplify x into x
0.086 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.086 * [taylor]: Taking taylor expansion of y in y
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.087 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.087 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.087 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
0.087 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.087 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.087 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.089 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
0.089 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
0.089 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.089 * [taylor]: Taking taylor expansion of (* z z) in x
0.089 * [taylor]: Taking taylor expansion of z in x
0.089 * [backup-simplify]: Simplify z into z
0.089 * [taylor]: Taking taylor expansion of z in x
0.089 * [backup-simplify]: Simplify z into z
0.089 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.090 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.090 * [taylor]: Taking taylor expansion of (* x x) in x
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [taylor]: Taking taylor expansion of x in x
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.090 * [taylor]: Taking taylor expansion of y in x
0.090 * [backup-simplify]: Simplify y into y
0.090 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.090 * [backup-simplify]: Simplify (* 0 0) into 0
0.090 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.091 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.091 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
0.091 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.091 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.093 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
0.093 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.094 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.094 * [taylor]: Taking taylor expansion of (* z z) in z
0.094 * [taylor]: Taking taylor expansion of z in z
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [taylor]: Taking taylor expansion of z in z
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.094 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.094 * [taylor]: Taking taylor expansion of (* x x) in z
0.094 * [taylor]: Taking taylor expansion of x in z
0.094 * [backup-simplify]: Simplify x into x
0.094 * [taylor]: Taking taylor expansion of x in z
0.094 * [backup-simplify]: Simplify x into x
0.094 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.094 * [taylor]: Taking taylor expansion of y in z
0.094 * [backup-simplify]: Simplify y into y
0.095 * [backup-simplify]: Simplify (* 0 0) into 0
0.095 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.095 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.095 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.095 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.096 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.096 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.097 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.097 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (+ 0 0) into 0
0.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.098 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
0.098 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.098 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.098 * [taylor]: Taking taylor expansion of (* z z) in z
0.098 * [taylor]: Taking taylor expansion of z in z
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [taylor]: Taking taylor expansion of z in z
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.099 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.099 * [taylor]: Taking taylor expansion of (* x x) in z
0.099 * [taylor]: Taking taylor expansion of x in z
0.099 * [backup-simplify]: Simplify x into x
0.099 * [taylor]: Taking taylor expansion of x in z
0.099 * [backup-simplify]: Simplify x into x
0.099 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.099 * [taylor]: Taking taylor expansion of y in z
0.099 * [backup-simplify]: Simplify y into y
0.099 * [backup-simplify]: Simplify (* 0 0) into 0
0.099 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.099 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.100 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.100 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.100 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.101 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.101 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.101 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.102 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.102 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.103 * [taylor]: Taking taylor expansion of x in x
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify 1 into 1
0.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.103 * [taylor]: Taking taylor expansion of y in x
0.103 * [backup-simplify]: Simplify y into y
0.103 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.103 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.103 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.103 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [taylor]: Taking taylor expansion of 0 in x
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [taylor]: Taking taylor expansion of 0 in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.106 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.106 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.107 * [backup-simplify]: Simplify (+ 1 0) into 1
0.108 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
0.108 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
0.108 * [taylor]: Taking taylor expansion of 1/2 in x
0.108 * [backup-simplify]: Simplify 1/2 into 1/2
0.108 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
0.108 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
0.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.108 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.108 * [taylor]: Taking taylor expansion of x in x
0.108 * [backup-simplify]: Simplify 0 into 0
0.108 * [backup-simplify]: Simplify 1 into 1
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.108 * [taylor]: Taking taylor expansion of y in x
0.108 * [backup-simplify]: Simplify y into y
0.109 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.109 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.109 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.109 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
0.109 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.110 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
0.110 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.110 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.110 * [taylor]: Taking taylor expansion of 1/2 in y
0.110 * [backup-simplify]: Simplify 1/2 into 1/2
0.110 * [taylor]: Taking taylor expansion of y in y
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [taylor]: Taking taylor expansion of 0 in y
0.112 * [backup-simplify]: Simplify 0 into 0
0.112 * [backup-simplify]: Simplify 0 into 0
0.113 * [backup-simplify]: Simplify (* 1 1) into 1
0.113 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.114 * [backup-simplify]: Simplify (+ 1 0) into 1
0.114 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.115 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.115 * [taylor]: Taking taylor expansion of 1/2 in y
0.115 * [backup-simplify]: Simplify 1/2 into 1/2
0.115 * [taylor]: Taking taylor expansion of y in y
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.116 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.116 * [backup-simplify]: Simplify 0 into 0
0.117 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
0.117 * [backup-simplify]: Simplify (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))))) into (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))
0.117 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in (z x y) around 0
0.117 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
0.117 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
0.117 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.117 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.117 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.117 * [taylor]: Taking taylor expansion of z in y
0.117 * [backup-simplify]: Simplify z into z
0.117 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.117 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.117 * [taylor]: Taking taylor expansion of z in y
0.117 * [backup-simplify]: Simplify z into z
0.117 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.117 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.117 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.117 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.117 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.117 * [taylor]: Taking taylor expansion of x in y
0.117 * [backup-simplify]: Simplify x into x
0.117 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.118 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.118 * [taylor]: Taking taylor expansion of x in y
0.118 * [backup-simplify]: Simplify x into x
0.118 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.118 * [taylor]: Taking taylor expansion of y in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [backup-simplify]: Simplify (+ 0 1) into 1
0.119 * [backup-simplify]: Simplify (+ 0 1) into 1
0.119 * [backup-simplify]: Simplify (sqrt 1) into 1
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.121 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
0.121 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
0.121 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.121 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.121 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.121 * [taylor]: Taking taylor expansion of z in x
0.121 * [backup-simplify]: Simplify z into z
0.121 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.121 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.121 * [taylor]: Taking taylor expansion of z in x
0.121 * [backup-simplify]: Simplify z into z
0.121 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.121 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.121 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.121 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.121 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.121 * [taylor]: Taking taylor expansion of x in x
0.121 * [backup-simplify]: Simplify 0 into 0
0.121 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (/ 1 1) into 1
0.122 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.122 * [taylor]: Taking taylor expansion of x in x
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (/ 1 1) into 1
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.122 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.122 * [taylor]: Taking taylor expansion of y in x
0.122 * [backup-simplify]: Simplify y into y
0.122 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.123 * [backup-simplify]: Simplify (* 1 1) into 1
0.123 * [backup-simplify]: Simplify (+ 1 0) into 1
0.123 * [backup-simplify]: Simplify (+ 0 1) into 1
0.123 * [backup-simplify]: Simplify (sqrt 1) into 1
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.125 * [backup-simplify]: Simplify (+ 0 0) into 0
0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.126 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
0.126 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.126 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.126 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.126 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.126 * [taylor]: Taking taylor expansion of z in z
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.126 * [taylor]: Taking taylor expansion of z in z
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.127 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.127 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.127 * [taylor]: Taking taylor expansion of x in z
0.127 * [backup-simplify]: Simplify x into x
0.127 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.127 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.127 * [taylor]: Taking taylor expansion of x in z
0.127 * [backup-simplify]: Simplify x into x
0.127 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.127 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.127 * [taylor]: Taking taylor expansion of y in z
0.127 * [backup-simplify]: Simplify y into y
0.127 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.127 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.128 * [backup-simplify]: Simplify (+ 1 0) into 1
0.128 * [backup-simplify]: Simplify (sqrt 1) into 1
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify (+ 0 0) into 0
0.130 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.130 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
0.130 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.130 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.130 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.131 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.131 * [taylor]: Taking taylor expansion of z in z
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.131 * [taylor]: Taking taylor expansion of z in z
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.131 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.131 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.131 * [taylor]: Taking taylor expansion of x in z
0.131 * [backup-simplify]: Simplify x into x
0.131 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.131 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.131 * [taylor]: Taking taylor expansion of x in z
0.132 * [backup-simplify]: Simplify x into x
0.132 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.132 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.132 * [taylor]: Taking taylor expansion of y in z
0.132 * [backup-simplify]: Simplify y into y
0.132 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.132 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.132 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (+ 1 0) into 1
0.133 * [backup-simplify]: Simplify (sqrt 1) into 1
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.135 * [taylor]: Taking taylor expansion of 1 in x
0.135 * [backup-simplify]: Simplify 1 into 1
0.135 * [taylor]: Taking taylor expansion of 0 in x
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [taylor]: Taking taylor expansion of 1 in y
0.135 * [backup-simplify]: Simplify 1 into 1
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.137 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
0.137 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.137 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.138 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.138 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.138 * [taylor]: Taking taylor expansion of 1/2 in x
0.138 * [backup-simplify]: Simplify 1/2 into 1/2
0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.138 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.138 * [taylor]: Taking taylor expansion of x in x
0.138 * [backup-simplify]: Simplify 0 into 0
0.138 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (* 1 1) into 1
0.139 * [backup-simplify]: Simplify (/ 1 1) into 1
0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.139 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.139 * [taylor]: Taking taylor expansion of y in x
0.139 * [backup-simplify]: Simplify y into y
0.139 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.139 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.141 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.141 * [taylor]: Taking taylor expansion of 0 in y
0.141 * [backup-simplify]: Simplify 0 into 0
0.141 * [taylor]: Taking taylor expansion of 0 in y
0.141 * [backup-simplify]: Simplify 0 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 1 into 1
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
0.143 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.145 * [taylor]: Taking taylor expansion of 0 in x
0.145 * [backup-simplify]: Simplify 0 into 0
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.148 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
0.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
0.148 * [taylor]: Taking taylor expansion of 1/2 in y
0.148 * [backup-simplify]: Simplify 1/2 into 1/2
0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.148 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.148 * [taylor]: Taking taylor expansion of y in y
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [backup-simplify]: Simplify 1 into 1
0.149 * [backup-simplify]: Simplify (* 1 1) into 1
0.149 * [backup-simplify]: Simplify (/ 1 1) into 1
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [taylor]: Taking taylor expansion of 0 in y
0.151 * [backup-simplify]: Simplify 0 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
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 0 into 0
0.152 * [backup-simplify]: Simplify 0 into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.156 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.156 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
0.159 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
0.159 * [taylor]: Taking taylor expansion of -1/2 in x
0.159 * [backup-simplify]: Simplify -1/2 into -1/2
0.159 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
0.159 * [taylor]: Taking taylor expansion of 1/2 in x
0.159 * [backup-simplify]: Simplify 1/2 into 1/2
0.159 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
0.160 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
0.160 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.160 * [taylor]: Taking taylor expansion of x in x
0.160 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify 1 into 1
0.160 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.160 * [taylor]: Taking taylor expansion of y in x
0.160 * [backup-simplify]: Simplify y into y
0.160 * [backup-simplify]: Simplify (* 1 1) into 1
0.160 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.160 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
0.161 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.161 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
0.161 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
0.161 * [taylor]: Taking taylor expansion of 1/4 in x
0.161 * [backup-simplify]: Simplify 1/4 into 1/4
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.161 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.161 * [taylor]: Taking taylor expansion of x in x
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [backup-simplify]: Simplify (* 1 1) into 1
0.162 * [backup-simplify]: Simplify (* 1 1) into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.162 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
0.162 * [taylor]: Taking taylor expansion of 1/4 in x
0.162 * [backup-simplify]: Simplify 1/4 into 1/4
0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
0.162 * [taylor]: Taking taylor expansion of (pow y 4) in x
0.162 * [taylor]: Taking taylor expansion of y in x
0.162 * [backup-simplify]: Simplify y into y
0.162 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.162 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
0.163 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
0.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.165 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
0.171 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.171 * [backup-simplify]: Simplify (+ 0 0) into 0
0.172 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
0.172 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.173 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.173 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.173 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.174 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.174 * [taylor]: Taking taylor expansion of 0 in y
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [taylor]: Taking taylor expansion of 0 in y
0.174 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.176 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.176 * [backup-simplify]: Simplify (+ 0 0) into 0
0.177 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.177 * [taylor]: Taking taylor expansion of 0 in y
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [taylor]: Taking taylor expansion of 0 in y
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [taylor]: Taking taylor expansion of 0 in y
0.177 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
0.179 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- z)) (/ 1 (- z)) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))
0.179 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in (z x y) around 0
0.179 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
0.179 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
0.180 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.180 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.180 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.180 * [taylor]: Taking taylor expansion of -1 in y
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of z in y
0.180 * [backup-simplify]: Simplify z into z
0.180 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.180 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.180 * [taylor]: Taking taylor expansion of -1 in y
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of z in y
0.180 * [backup-simplify]: Simplify z into z
0.180 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.180 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.180 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.180 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.180 * [taylor]: Taking taylor expansion of -1 in y
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of x in y
0.180 * [backup-simplify]: Simplify x into x
0.180 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.180 * [taylor]: Taking taylor expansion of -1 in y
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of x in y
0.180 * [backup-simplify]: Simplify x into x
0.180 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.180 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.180 * [taylor]: Taking taylor expansion of y in y
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (* 1 1) into 1
0.181 * [backup-simplify]: Simplify (/ 1 1) into 1
0.181 * [backup-simplify]: Simplify (+ 0 1) into 1
0.181 * [backup-simplify]: Simplify (+ 0 1) into 1
0.182 * [backup-simplify]: Simplify (sqrt 1) into 1
0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.183 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
0.183 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
0.183 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.183 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.183 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.183 * [taylor]: Taking taylor expansion of -1 in x
0.183 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of z in x
0.184 * [backup-simplify]: Simplify z into z
0.184 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.184 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.184 * [taylor]: Taking taylor expansion of -1 in x
0.184 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of z in x
0.184 * [backup-simplify]: Simplify z into z
0.184 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.184 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.184 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.184 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.184 * [taylor]: Taking taylor expansion of -1 in x
0.184 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of x in x
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (/ -1 1) into -1
0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.184 * [taylor]: Taking taylor expansion of -1 in x
0.184 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of x in x
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (/ -1 1) into -1
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.185 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.185 * [taylor]: Taking taylor expansion of y in x
0.185 * [backup-simplify]: Simplify y into y
0.185 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.185 * [backup-simplify]: Simplify (* -1 -1) into 1
0.185 * [backup-simplify]: Simplify (+ 1 0) into 1
0.186 * [backup-simplify]: Simplify (+ 0 1) into 1
0.186 * [backup-simplify]: Simplify (sqrt 1) into 1
0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.188 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
0.188 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.188 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.188 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.188 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.188 * [taylor]: Taking taylor expansion of -1 in z
0.188 * [backup-simplify]: Simplify -1 into -1
0.188 * [taylor]: Taking taylor expansion of z in z
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (/ -1 1) into -1
0.189 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.189 * [taylor]: Taking taylor expansion of -1 in z
0.189 * [backup-simplify]: Simplify -1 into -1
0.189 * [taylor]: Taking taylor expansion of z in z
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [backup-simplify]: Simplify (/ -1 1) into -1
0.189 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.189 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.189 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.189 * [taylor]: Taking taylor expansion of -1 in z
0.189 * [backup-simplify]: Simplify -1 into -1
0.189 * [taylor]: Taking taylor expansion of x in z
0.189 * [backup-simplify]: Simplify x into x
0.189 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.189 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.189 * [taylor]: Taking taylor expansion of -1 in z
0.189 * [backup-simplify]: Simplify -1 into -1
0.189 * [taylor]: Taking taylor expansion of x in z
0.189 * [backup-simplify]: Simplify x into x
0.189 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.190 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.190 * [taylor]: Taking taylor expansion of y in z
0.190 * [backup-simplify]: Simplify y into y
0.190 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.190 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.190 * [backup-simplify]: Simplify (* -1 -1) into 1
0.190 * [backup-simplify]: Simplify (+ 1 0) into 1
0.190 * [backup-simplify]: Simplify (sqrt 1) into 1
0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.192 * [backup-simplify]: Simplify (+ 0 0) into 0
0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.193 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
0.193 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.193 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.193 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.193 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.193 * [taylor]: Taking taylor expansion of -1 in z
0.193 * [backup-simplify]: Simplify -1 into -1
0.193 * [taylor]: Taking taylor expansion of z in z
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (/ -1 1) into -1
0.193 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.193 * [taylor]: Taking taylor expansion of -1 in z
0.193 * [backup-simplify]: Simplify -1 into -1
0.193 * [taylor]: Taking taylor expansion of z in z
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.194 * [backup-simplify]: Simplify (/ -1 1) into -1
0.194 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.194 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.194 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.194 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.194 * [taylor]: Taking taylor expansion of -1 in z
0.194 * [backup-simplify]: Simplify -1 into -1
0.194 * [taylor]: Taking taylor expansion of x in z
0.194 * [backup-simplify]: Simplify x into x
0.194 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.194 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.194 * [taylor]: Taking taylor expansion of -1 in z
0.194 * [backup-simplify]: Simplify -1 into -1
0.194 * [taylor]: Taking taylor expansion of x in z
0.194 * [backup-simplify]: Simplify x into x
0.194 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.194 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.194 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.194 * [taylor]: Taking taylor expansion of y in z
0.194 * [backup-simplify]: Simplify y into y
0.194 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.194 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.195 * [backup-simplify]: Simplify (* -1 -1) into 1
0.195 * [backup-simplify]: Simplify (+ 1 0) into 1
0.195 * [backup-simplify]: Simplify (sqrt 1) into 1
0.196 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.205 * [taylor]: Taking taylor expansion of 1 in x
0.205 * [backup-simplify]: Simplify 1 into 1
0.205 * [taylor]: Taking taylor expansion of 0 in x
0.205 * [backup-simplify]: Simplify 0 into 0
0.205 * [taylor]: Taking taylor expansion of 1 in y
0.205 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.208 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
0.208 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.209 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.210 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.210 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.210 * [taylor]: Taking taylor expansion of 1/2 in x
0.210 * [backup-simplify]: Simplify 1/2 into 1/2
0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.210 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.210 * [taylor]: Taking taylor expansion of x in x
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [backup-simplify]: Simplify (* 1 1) into 1
0.211 * [backup-simplify]: Simplify (/ 1 1) into 1
0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.211 * [taylor]: Taking taylor expansion of y in x
0.211 * [backup-simplify]: Simplify y into y
0.212 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.212 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (+ 1 0) into 1
0.214 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.214 * [taylor]: Taking taylor expansion of 0 in y
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [taylor]: Taking taylor expansion of 0 in y
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [taylor]: Taking taylor expansion of 0 in y
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.218 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.218 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.218 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.218 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
0.218 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.219 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (+ 0 0) into 0
0.220 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.220 * [taylor]: Taking taylor expansion of 0 in x
0.220 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.224 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
0.224 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
0.224 * [taylor]: Taking taylor expansion of 1/2 in y
0.224 * [backup-simplify]: Simplify 1/2 into 1/2
0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.224 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.224 * [taylor]: Taking taylor expansion of y in y
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify 1 into 1
0.224 * [backup-simplify]: Simplify (* 1 1) into 1
0.225 * [backup-simplify]: Simplify (/ 1 1) into 1
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.227 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [taylor]: Taking taylor expansion of 0 in y
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [taylor]: Taking taylor expansion of 0 in y
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.230 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.230 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
0.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.232 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
0.232 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
0.232 * [taylor]: Taking taylor expansion of -1/2 in x
0.232 * [backup-simplify]: Simplify -1/2 into -1/2
0.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
0.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
0.233 * [taylor]: Taking taylor expansion of 1/2 in x
0.233 * [backup-simplify]: Simplify 1/2 into 1/2
0.233 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
0.233 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
0.233 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.233 * [taylor]: Taking taylor expansion of y in x
0.233 * [backup-simplify]: Simplify y into y
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.233 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
0.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.233 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
0.233 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
0.233 * [taylor]: Taking taylor expansion of 1/4 in x
0.233 * [backup-simplify]: Simplify 1/4 into 1/4
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.233 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (* 1 1) into 1
0.234 * [backup-simplify]: Simplify (/ 1 1) into 1
0.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
0.234 * [taylor]: Taking taylor expansion of 1/4 in x
0.234 * [backup-simplify]: Simplify 1/4 into 1/4
0.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
0.234 * [taylor]: Taking taylor expansion of (pow y 4) in x
0.234 * [taylor]: Taking taylor expansion of y in x
0.234 * [backup-simplify]: Simplify y into y
0.234 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.234 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
0.234 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
0.234 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.242 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
0.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
0.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.244 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.244 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.245 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.245 * [taylor]: Taking taylor expansion of 0 in y
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [taylor]: Taking taylor expansion of 0 in y
0.245 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.248 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
0.250 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 3)
0.250 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2))
0.250 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0
0.250 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.250 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.250 * [taylor]: Taking taylor expansion of (* x x) in y
0.250 * [taylor]: Taking taylor expansion of x in y
0.250 * [backup-simplify]: Simplify x into x
0.250 * [taylor]: Taking taylor expansion of x in y
0.250 * [backup-simplify]: Simplify x into x
0.250 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.250 * [taylor]: Taking taylor expansion of y in y
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.250 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.250 * [taylor]: Taking taylor expansion of (* x x) in x
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of x in x
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.250 * [taylor]: Taking taylor expansion of y in x
0.250 * [backup-simplify]: Simplify y into y
0.250 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.250 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.251 * [taylor]: Taking taylor expansion of (* x x) in x
0.251 * [taylor]: Taking taylor expansion of x in x
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of x in x
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.251 * [taylor]: Taking taylor expansion of y in x
0.251 * [backup-simplify]: Simplify y into y
0.251 * [backup-simplify]: Simplify (* 0 0) into 0
0.251 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.251 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.251 * [taylor]: Taking taylor expansion of y in y
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.252 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [taylor]: Taking taylor expansion of 0 in y
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.253 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.253 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [taylor]: Taking taylor expansion of 1 in y
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify (* 1 1) into 1
0.253 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.255 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [taylor]: Taking taylor expansion of 0 in y
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.258 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [taylor]: Taking taylor expansion of 0 in y
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.259 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))
0.259 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0
0.259 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.259 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.259 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.259 * [taylor]: Taking taylor expansion of x in y
0.259 * [backup-simplify]: Simplify x into x
0.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.259 * [taylor]: Taking taylor expansion of x in y
0.259 * [backup-simplify]: Simplify x into x
0.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.259 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.259 * [taylor]: Taking taylor expansion of y in y
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* 1 1) into 1
0.260 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.260 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.260 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.260 * [taylor]: Taking taylor expansion of x in x
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.260 * [taylor]: Taking taylor expansion of x in x
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.260 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.260 * [taylor]: Taking taylor expansion of y in x
0.261 * [backup-simplify]: Simplify y into y
0.261 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.261 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.261 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.261 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.261 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.261 * [taylor]: Taking taylor expansion of x in x
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.262 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.262 * [taylor]: Taking taylor expansion of y in x
0.262 * [backup-simplify]: Simplify y into y
0.262 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.262 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.263 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (+ 1 0) into 1
0.263 * [taylor]: Taking taylor expansion of 1 in y
0.263 * [backup-simplify]: Simplify 1 into 1
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [taylor]: Taking taylor expansion of 0 in y
0.264 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.266 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.266 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.266 * [taylor]: Taking taylor expansion of y in y
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (* 1 1) into 1
0.267 * [backup-simplify]: Simplify (/ 1 1) into 1
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [taylor]: Taking taylor expansion of 0 in y
0.269 * [backup-simplify]: Simplify 0 into 0
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [taylor]: Taking taylor expansion of 0 in y
0.273 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.276 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))
0.276 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0
0.276 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.276 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.276 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.276 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.276 * [taylor]: Taking taylor expansion of -1 in y
0.277 * [backup-simplify]: Simplify -1 into -1
0.277 * [taylor]: Taking taylor expansion of x in y
0.277 * [backup-simplify]: Simplify x into x
0.277 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.277 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.277 * [taylor]: Taking taylor expansion of -1 in y
0.277 * [backup-simplify]: Simplify -1 into -1
0.277 * [taylor]: Taking taylor expansion of x in y
0.277 * [backup-simplify]: Simplify x into x
0.277 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.277 * [taylor]: Taking taylor expansion of y in y
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.278 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.278 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.278 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.278 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.278 * [taylor]: Taking taylor expansion of -1 in x
0.278 * [backup-simplify]: Simplify -1 into -1
0.278 * [taylor]: Taking taylor expansion of x in x
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (/ -1 1) into -1
0.279 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.279 * [taylor]: Taking taylor expansion of -1 in x
0.279 * [backup-simplify]: Simplify -1 into -1
0.279 * [taylor]: Taking taylor expansion of x in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (/ -1 1) into -1
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.279 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.279 * [taylor]: Taking taylor expansion of y in x
0.280 * [backup-simplify]: Simplify y into y
0.280 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.280 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.280 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.280 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.280 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.280 * [taylor]: Taking taylor expansion of -1 in x
0.280 * [backup-simplify]: Simplify -1 into -1
0.280 * [taylor]: Taking taylor expansion of x in x
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ -1 1) into -1
0.281 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.281 * [taylor]: Taking taylor expansion of -1 in x
0.281 * [backup-simplify]: Simplify -1 into -1
0.281 * [taylor]: Taking taylor expansion of x in x
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify (/ -1 1) into -1
0.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.281 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.281 * [taylor]: Taking taylor expansion of y in x
0.281 * [backup-simplify]: Simplify y into y
0.281 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.282 * [backup-simplify]: Simplify (* -1 -1) into 1
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.283 * [taylor]: Taking taylor expansion of 1 in y
0.283 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [taylor]: Taking taylor expansion of 0 in y
0.285 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.288 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.289 * [taylor]: Taking taylor expansion of y in y
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.289 * [backup-simplify]: Simplify (/ 1 1) into 1
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.293 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.294 * [backup-simplify]: Simplify (+ 0 0) into 0
0.294 * [taylor]: Taking taylor expansion of 0 in y
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.299 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.300 * [taylor]: Taking taylor expansion of 0 in y
0.300 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.302 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.303 * [backup-simplify]: Simplify (fma z z (fma x x (* y y))) into (fma z z (fma x x (pow y 2)))
0.303 * [approximate]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in (z x y) around 0
0.303 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
0.303 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.303 * [taylor]: Taking taylor expansion of (* z z) in y
0.303 * [taylor]: Taking taylor expansion of z in y
0.303 * [backup-simplify]: Simplify z into z
0.303 * [taylor]: Taking taylor expansion of z in y
0.303 * [backup-simplify]: Simplify z into z
0.303 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.303 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.303 * [taylor]: Taking taylor expansion of (* x x) in y
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [backup-simplify]: Simplify x into x
0.303 * [taylor]: Taking taylor expansion of x in y
0.303 * [backup-simplify]: Simplify x into x
0.303 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.303 * [taylor]: Taking taylor expansion of y in y
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
0.303 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.303 * [taylor]: Taking taylor expansion of (* z z) in x
0.303 * [taylor]: Taking taylor expansion of z in x
0.304 * [backup-simplify]: Simplify z into z
0.304 * [taylor]: Taking taylor expansion of z in x
0.304 * [backup-simplify]: Simplify z into z
0.304 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.304 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.304 * [taylor]: Taking taylor expansion of (* x x) in x
0.304 * [taylor]: Taking taylor expansion of x in x
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [taylor]: Taking taylor expansion of x in x
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.304 * [taylor]: Taking taylor expansion of y in x
0.304 * [backup-simplify]: Simplify y into y
0.304 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.304 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.304 * [taylor]: Taking taylor expansion of (* z z) in z
0.304 * [taylor]: Taking taylor expansion of z in z
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [taylor]: Taking taylor expansion of z in z
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.304 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.304 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.304 * [taylor]: Taking taylor expansion of (* x x) in z
0.304 * [taylor]: Taking taylor expansion of x in z
0.304 * [backup-simplify]: Simplify x into x
0.304 * [taylor]: Taking taylor expansion of x in z
0.305 * [backup-simplify]: Simplify x into x
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.305 * [taylor]: Taking taylor expansion of y in z
0.305 * [backup-simplify]: Simplify y into y
0.305 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.305 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.305 * [taylor]: Taking taylor expansion of (* z z) in z
0.305 * [taylor]: Taking taylor expansion of z in z
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [taylor]: Taking taylor expansion of z in z
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.305 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.305 * [taylor]: Taking taylor expansion of (* x x) in z
0.305 * [taylor]: Taking taylor expansion of x in z
0.305 * [backup-simplify]: Simplify x into x
0.305 * [taylor]: Taking taylor expansion of x in z
0.305 * [backup-simplify]: Simplify x into x
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.305 * [taylor]: Taking taylor expansion of y in z
0.305 * [backup-simplify]: Simplify y into y
0.306 * [backup-simplify]: Simplify (* 0 0) into 0
0.306 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.306 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.306 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.306 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.306 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.307 * [taylor]: Taking taylor expansion of y in x
0.307 * [backup-simplify]: Simplify y into y
0.307 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.307 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.307 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.307 * [taylor]: Taking taylor expansion of y in y
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.308 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.308 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in x
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [taylor]: Taking taylor expansion of 0 in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.309 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.310 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.311 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [backup-simplify]: Simplify (+ 1 0) into 1
0.312 * [taylor]: Taking taylor expansion of 1 in x
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of 1 in y
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [taylor]: Taking taylor expansion of 0 in y
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.313 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.313 * [backup-simplify]: Simplify (+ 1 0) into 1
0.313 * [taylor]: Taking taylor expansion of 1 in y
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (+ (* 1 (pow (* y (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* x 1)) 2)) (* 1 (pow (* 1 (* 1 z)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.315 * [backup-simplify]: Simplify (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.315 * [approximate]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (z x y) around 0
0.315 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
0.315 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.315 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.315 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.315 * [taylor]: Taking taylor expansion of z in y
0.315 * [backup-simplify]: Simplify z into z
0.315 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.315 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.315 * [taylor]: Taking taylor expansion of z in y
0.315 * [backup-simplify]: Simplify z into z
0.315 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.315 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.315 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.315 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.315 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.316 * [taylor]: Taking taylor expansion of x in y
0.316 * [backup-simplify]: Simplify x into x
0.316 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.316 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.316 * [taylor]: Taking taylor expansion of x in y
0.316 * [backup-simplify]: Simplify x into x
0.316 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.316 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.316 * [taylor]: Taking taylor expansion of y in y
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (/ 1 1) into 1
0.317 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
0.317 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.317 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.317 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.317 * [taylor]: Taking taylor expansion of z in x
0.317 * [backup-simplify]: Simplify z into z
0.317 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.317 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.317 * [taylor]: Taking taylor expansion of z in x
0.317 * [backup-simplify]: Simplify z into z
0.317 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.317 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.317 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.317 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.317 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.317 * [taylor]: Taking taylor expansion of x in x
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.318 * [taylor]: Taking taylor expansion of x in x
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify 1 into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.318 * [taylor]: Taking taylor expansion of y in x
0.318 * [backup-simplify]: Simplify y into y
0.318 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.319 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.319 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.319 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.319 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.319 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.319 * [taylor]: Taking taylor expansion of z in z
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.319 * [backup-simplify]: Simplify (/ 1 1) into 1
0.319 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.319 * [taylor]: Taking taylor expansion of z in z
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (/ 1 1) into 1
0.320 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.320 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.320 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.320 * [taylor]: Taking taylor expansion of x in z
0.320 * [backup-simplify]: Simplify x into x
0.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.320 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.320 * [taylor]: Taking taylor expansion of x in z
0.320 * [backup-simplify]: Simplify x into x
0.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.320 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.320 * [taylor]: Taking taylor expansion of y in z
0.320 * [backup-simplify]: Simplify y into y
0.320 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.320 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.321 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.321 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.321 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.321 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.321 * [taylor]: Taking taylor expansion of z in z
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [backup-simplify]: Simplify (/ 1 1) into 1
0.321 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.321 * [taylor]: Taking taylor expansion of z in z
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.322 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.322 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.322 * [taylor]: Taking taylor expansion of x in z
0.322 * [backup-simplify]: Simplify x into x
0.322 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.322 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.322 * [taylor]: Taking taylor expansion of x in z
0.322 * [backup-simplify]: Simplify x into x
0.322 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.322 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.322 * [taylor]: Taking taylor expansion of y in z
0.322 * [backup-simplify]: Simplify y into y
0.322 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.323 * [backup-simplify]: Simplify (+ 1 0) into 1
0.323 * [taylor]: Taking taylor expansion of 1 in x
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [taylor]: Taking taylor expansion of 0 in x
0.326 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.329 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
0.329 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.330 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.330 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.330 * [taylor]: Taking taylor expansion of x in x
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [backup-simplify]: Simplify (* 1 1) into 1
0.337 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.338 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.338 * [taylor]: Taking taylor expansion of y in x
0.338 * [backup-simplify]: Simplify y into y
0.338 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.338 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.339 * [backup-simplify]: Simplify (+ 1 0) into 1
0.339 * [taylor]: Taking taylor expansion of 1 in y
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [taylor]: Taking taylor expansion of 1 in y
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.341 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
0.341 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in x
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [taylor]: Taking taylor expansion of 0 in y
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [taylor]: Taking taylor expansion of 0 in y
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [taylor]: Taking taylor expansion of 0 in y
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.346 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [taylor]: Taking taylor expansion of 0 in x
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.348 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.348 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.348 * [taylor]: Taking taylor expansion of y in y
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify (* 1 1) into 1
0.348 * [backup-simplify]: Simplify (/ 1 1) into 1
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [taylor]: Taking taylor expansion of 0 in y
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [taylor]: Taking taylor expansion of 0 in y
0.348 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify 1 into 1
0.348 * [backup-simplify]: Simplify 1 into 1
0.349 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 z)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 x)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.349 * [backup-simplify]: Simplify (fma (/ 1 (- z)) (/ 1 (- z)) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.349 * [approximate]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in (z x y) around 0
0.349 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
0.350 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.350 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.350 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.350 * [taylor]: Taking taylor expansion of -1 in y
0.350 * [backup-simplify]: Simplify -1 into -1
0.350 * [taylor]: Taking taylor expansion of z in y
0.350 * [backup-simplify]: Simplify z into z
0.350 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.350 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.350 * [taylor]: Taking taylor expansion of -1 in y
0.350 * [backup-simplify]: Simplify -1 into -1
0.350 * [taylor]: Taking taylor expansion of z in y
0.350 * [backup-simplify]: Simplify z into z
0.350 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.350 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.350 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.350 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.350 * [taylor]: Taking taylor expansion of -1 in y
0.350 * [backup-simplify]: Simplify -1 into -1
0.350 * [taylor]: Taking taylor expansion of x in y
0.350 * [backup-simplify]: Simplify x into x
0.350 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.350 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.350 * [taylor]: Taking taylor expansion of -1 in y
0.350 * [backup-simplify]: Simplify -1 into -1
0.350 * [taylor]: Taking taylor expansion of x in y
0.350 * [backup-simplify]: Simplify x into x
0.350 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.350 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.350 * [taylor]: Taking taylor expansion of y in y
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (* 1 1) into 1
0.351 * [backup-simplify]: Simplify (/ 1 1) into 1
0.351 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
0.351 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.351 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.351 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.351 * [taylor]: Taking taylor expansion of -1 in x
0.351 * [backup-simplify]: Simplify -1 into -1
0.351 * [taylor]: Taking taylor expansion of z in x
0.351 * [backup-simplify]: Simplify z into z
0.351 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.351 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.351 * [taylor]: Taking taylor expansion of -1 in x
0.351 * [backup-simplify]: Simplify -1 into -1
0.351 * [taylor]: Taking taylor expansion of z in x
0.351 * [backup-simplify]: Simplify z into z
0.351 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.351 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.351 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.351 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.351 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.351 * [taylor]: Taking taylor expansion of -1 in x
0.351 * [backup-simplify]: Simplify -1 into -1
0.351 * [taylor]: Taking taylor expansion of x in x
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (/ -1 1) into -1
0.352 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.352 * [taylor]: Taking taylor expansion of -1 in x
0.352 * [backup-simplify]: Simplify -1 into -1
0.352 * [taylor]: Taking taylor expansion of x in x
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (/ -1 1) into -1
0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.352 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.352 * [taylor]: Taking taylor expansion of y in x
0.352 * [backup-simplify]: Simplify y into y
0.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.352 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.352 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.352 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.353 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.353 * [taylor]: Taking taylor expansion of -1 in z
0.353 * [backup-simplify]: Simplify -1 into -1
0.353 * [taylor]: Taking taylor expansion of z in z
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (/ -1 1) into -1
0.353 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.353 * [taylor]: Taking taylor expansion of -1 in z
0.353 * [backup-simplify]: Simplify -1 into -1
0.353 * [taylor]: Taking taylor expansion of z in z
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.353 * [backup-simplify]: Simplify (/ -1 1) into -1
0.353 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.353 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.353 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.353 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.353 * [taylor]: Taking taylor expansion of -1 in z
0.353 * [backup-simplify]: Simplify -1 into -1
0.354 * [taylor]: Taking taylor expansion of x in z
0.354 * [backup-simplify]: Simplify x into x
0.354 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.354 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.354 * [taylor]: Taking taylor expansion of -1 in z
0.354 * [backup-simplify]: Simplify -1 into -1
0.354 * [taylor]: Taking taylor expansion of x in z
0.354 * [backup-simplify]: Simplify x into x
0.354 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.354 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.354 * [taylor]: Taking taylor expansion of y in z
0.354 * [backup-simplify]: Simplify y into y
0.354 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.354 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.354 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.354 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.354 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.354 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.354 * [taylor]: Taking taylor expansion of -1 in z
0.354 * [backup-simplify]: Simplify -1 into -1
0.354 * [taylor]: Taking taylor expansion of z in z
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (/ -1 1) into -1
0.354 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.354 * [taylor]: Taking taylor expansion of -1 in z
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of z in z
0.355 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (/ -1 1) into -1
0.355 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.355 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.355 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.355 * [taylor]: Taking taylor expansion of -1 in z
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of x in z
0.355 * [backup-simplify]: Simplify x into x
0.355 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.355 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.355 * [taylor]: Taking taylor expansion of -1 in z
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of x in z
0.355 * [backup-simplify]: Simplify x into x
0.355 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.355 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.355 * [taylor]: Taking taylor expansion of y in z
0.355 * [backup-simplify]: Simplify y into y
0.355 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.355 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.356 * [backup-simplify]: Simplify (* -1 -1) into 1
0.356 * [backup-simplify]: Simplify (+ 1 0) into 1
0.356 * [taylor]: Taking taylor expansion of 1 in x
0.356 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.358 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [taylor]: Taking taylor expansion of 0 in x
0.358 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.360 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.360 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
0.360 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.360 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.360 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.360 * [taylor]: Taking taylor expansion of x in x
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (* 1 1) into 1
0.361 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.361 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.361 * [taylor]: Taking taylor expansion of y in x
0.361 * [backup-simplify]: Simplify y into y
0.361 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.361 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.361 * [backup-simplify]: Simplify (+ 1 0) into 1
0.361 * [taylor]: Taking taylor expansion of 1 in y
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [taylor]: Taking taylor expansion of 1 in y
0.361 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.363 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.364 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.364 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
0.364 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [backup-simplify]: Simplify (+ 0 0) into 0
0.364 * [taylor]: Taking taylor expansion of 0 in x
0.364 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [taylor]: Taking taylor expansion of 0 in y
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [taylor]: Taking taylor expansion of 0 in y
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [taylor]: Taking taylor expansion of 0 in y
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.368 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.368 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.368 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
0.368 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [taylor]: Taking taylor expansion of 0 in x
0.369 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.370 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.371 * [taylor]: Taking taylor expansion of y in y
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify (* 1 1) into 1
0.371 * [backup-simplify]: Simplify (/ 1 1) into 1
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [taylor]: Taking taylor expansion of 0 in y
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [taylor]: Taking taylor expansion of 0 in y
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 1 into 1
0.371 * [backup-simplify]: Simplify 1 into 1
0.372 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- z))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- x))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.372 * * * [progress]: simplifying candidates
0.373 * [simplify]: Simplifying:
  (expm1 (sqrt (fma z z (fma x x (* y y)))))
  (log1p (sqrt (fma z z (fma x x (* y y)))))
  (log (sqrt (fma z z (fma x x (* y y)))))
  (exp (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (* (* (sqrt (fma z z (fma x x (* y y)))) (sqrt (fma z z (fma x x (* y y))))) (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y))))))
  (sqrt (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt 1)
  (sqrt (fma z z (fma x x (* y y))))
  (/ 1 2)
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (expm1 (fma z z (fma x x (* y y))))
  (log1p (fma z z (fma x x (* y y))))
  (* z z)
  (log (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))
  (cbrt (fma z z (fma x x (* y y))))
  (* (* (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y)))) (fma z z (fma x x (* y y))))
  (sqrt (fma z z (fma x x (* y y))))
  (sqrt (fma z z (fma x x (* y y))))
  y
  z
  (* -1 z)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.374 * * [simplify]: Extracting # 0 : cost  0
0.374 * * [simplify]: Extracting # 1 : cost  0
0.374 * * [simplify]: Extracting # 2 : cost  0
0.374 * * [simplify]: Extracting # 3 : cost  0
0.374 * * [simplify]: Extracting # 4 : cost  0
0.374 * * [simplify]: Extracting # 5 : cost  0
0.374 * * [simplify]: iteration  0 :  49  enodes  (cost  471 )
0.385 * * [simplify]: Extracting # 0 : cost  0
0.385 * * [simplify]: Extracting # 1 : cost  0
0.386 * * [simplify]: Extracting # 2 : cost  0
0.386 * * [simplify]: iteration  1 :  71  enodes  (cost  438 )
0.399 * * [simplify]: Extracting # 0 : cost  0
0.400 * * [simplify]: Extracting # 1 : cost  0
0.400 * * [simplify]: Extracting # 2 : cost  0
0.400 * * [simplify]: Extracting # 3 : cost  0
0.400 * * [simplify]: iteration  2 :  159  enodes  (cost  389 )
0.458 * * [simplify]: Extracting # 0 : cost  0
0.458 * * [simplify]: Extracting # 1 : cost  0
0.459 * * [simplify]: Extracting # 2 : cost  0
0.459 * * [simplify]: Extracting # 3 : cost  0
0.460 * * [simplify]: Extracting # 4 : cost  0
0.460 * * [simplify]: iteration  3 :  541  enodes  (cost  389 )
1.089 * * [simplify]: Extracting # 0 : cost  0
1.092 * * [simplify]: Extracting # 1 : cost  0
1.094 * * [simplify]: Extracting # 2 : cost  0
1.096 * * [simplify]: Extracting # 3 : cost  0
1.098 * * [simplify]: Extracting # 4 : cost  0
1.101 * * [simplify]: iteration  4 :  2527  enodes  (cost  389 )
2.205 * * [simplify]: Extracting # 0 : cost  0
2.210 * * [simplify]: Extracting # 1 : cost  0
2.216 * * [simplify]: Extracting # 2 : cost  0
2.221 * * [simplify]: Extracting # 3 : cost  0
2.226 * * [simplify]: Extracting # 4 : cost  0
2.231 * * [simplify]: iteration done:  5000  enodes  (cost  389 )
2.231 * [simplify]: Simplified to:
  (expm1 (sqrt (fma z z (fma x x (* y y)))))
  (log1p (sqrt (fma z z (fma x x (* y y)))))
  (log (sqrt (fma z z (fma x x (* y y)))))
  (exp (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (pow (sqrt (fma z z (fma x x (* y y)))) 3)
  (fabs (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  1
  (sqrt (fma z z (fma x x (* y y))))
  1/2
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot y x)
  (hypot y x)
  (expm1 (fma z z (fma x x (* y y))))
  (log1p (fma z z (fma x x (* y y))))
  (* z z)
  (log (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))
  (cbrt (fma z z (fma x x (* y y))))
  (pow (fma z z (fma x x (* y y))) 3)
  (sqrt (fma z z (fma x x (* y y))))
  (sqrt (fma z z (fma x x (* y y))))
  y
  z
  (- z)
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma z z (fma x x (* y y)))
  (fma z z (fma x x (* y y)))
  (fma z z (fma x x (* y y)))
2.232 * * * [progress]: adding candidates to table
2.454 * * [progress]: iteration 2 / 4
2.454 * * * [progress]: picking best candidate
2.459 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))>
2.459 * * * [progress]: localizing error
2.468 * * * [progress]: generating rewritten candidates
2.468 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
2.479 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
2.491 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2)
2.493 * * * [progress]: generating series expansions
2.493 * * * * [progress]: [ 1 / 3 ] generating series at (2)
2.494 * [backup-simplify]: Simplify (sqrt (+ (* z z) (fma x x (* y y)))) into (sqrt (+ (fma x x (pow y 2)) (pow z 2)))
2.494 * [approximate]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in (z x y) around 0
2.494 * [taylor]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in y
2.494 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in y
2.494 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.494 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.494 * [taylor]: Taking taylor expansion of (* x x) in y
2.494 * [taylor]: Taking taylor expansion of x in y
2.494 * [backup-simplify]: Simplify x into x
2.494 * [taylor]: Taking taylor expansion of x in y
2.494 * [backup-simplify]: Simplify x into x
2.494 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.494 * [taylor]: Taking taylor expansion of y in y
2.494 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify 1 into 1
2.494 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.494 * [taylor]: Taking taylor expansion of z in y
2.494 * [backup-simplify]: Simplify z into z
2.494 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.495 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.495 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.495 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.495 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.495 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.497 * [backup-simplify]: Simplify (+ 0 0) into 0
2.497 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.497 * [backup-simplify]: Simplify (+ 0 0) into 0
2.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.498 * [taylor]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in x
2.498 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in x
2.498 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.498 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.498 * [taylor]: Taking taylor expansion of (* x x) in x
2.498 * [taylor]: Taking taylor expansion of x in x
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [taylor]: Taking taylor expansion of x in x
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 1 into 1
2.498 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.498 * [taylor]: Taking taylor expansion of y in x
2.498 * [backup-simplify]: Simplify y into y
2.498 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.498 * [taylor]: Taking taylor expansion of z in x
2.498 * [backup-simplify]: Simplify z into z
2.499 * [backup-simplify]: Simplify (* 0 0) into 0
2.499 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.499 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.499 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.499 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.499 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.500 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.500 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.501 * [backup-simplify]: Simplify (+ 0 0) into 0
2.501 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.501 * [backup-simplify]: Simplify (+ 0 0) into 0
2.501 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.502 * [taylor]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in z
2.502 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in z
2.502 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.502 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.502 * [taylor]: Taking taylor expansion of (* x x) in z
2.502 * [taylor]: Taking taylor expansion of x in z
2.502 * [backup-simplify]: Simplify x into x
2.502 * [taylor]: Taking taylor expansion of x in z
2.502 * [backup-simplify]: Simplify x into x
2.502 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.502 * [taylor]: Taking taylor expansion of y in z
2.502 * [backup-simplify]: Simplify y into y
2.502 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.502 * [taylor]: Taking taylor expansion of z in z
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 1 into 1
2.502 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.502 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.503 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.503 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
2.503 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.503 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.503 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.504 * [taylor]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in z
2.505 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in z
2.505 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.505 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.505 * [taylor]: Taking taylor expansion of (* x x) in z
2.505 * [taylor]: Taking taylor expansion of x in z
2.505 * [backup-simplify]: Simplify x into x
2.505 * [taylor]: Taking taylor expansion of x in z
2.505 * [backup-simplify]: Simplify x into x
2.505 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.505 * [taylor]: Taking taylor expansion of y in z
2.505 * [backup-simplify]: Simplify y into y
2.505 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.505 * [taylor]: Taking taylor expansion of z in z
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 1 into 1
2.505 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.505 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.505 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.506 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
2.506 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.506 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.506 * [backup-simplify]: Simplify (+ 0 0) into 0
2.507 * [backup-simplify]: Simplify (+ 0 0) into 0
2.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.507 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.507 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.507 * [taylor]: Taking taylor expansion of x in x
2.507 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify 1 into 1
2.507 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.507 * [taylor]: Taking taylor expansion of y in x
2.508 * [backup-simplify]: Simplify y into y
2.508 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.508 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.508 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.508 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.508 * [backup-simplify]: Simplify (+ 0 0) into 0
2.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.509 * [taylor]: Taking taylor expansion of y in y
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [taylor]: Taking taylor expansion of 0 in x
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [taylor]: Taking taylor expansion of 0 in y
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [taylor]: Taking taylor expansion of 0 in y
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 1 into 1
2.509 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.510 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.510 * [backup-simplify]: Simplify (+ 0 0) into 0
2.511 * [backup-simplify]: Simplify (* 1 1) into 1
2.511 * [backup-simplify]: Simplify (+ 0 1) into 1
2.512 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
2.512 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
2.512 * [taylor]: Taking taylor expansion of 1/2 in x
2.512 * [backup-simplify]: Simplify 1/2 into 1/2
2.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
2.512 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
2.512 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.513 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.513 * [taylor]: Taking taylor expansion of x in x
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.513 * [taylor]: Taking taylor expansion of y in x
2.513 * [backup-simplify]: Simplify y into y
2.513 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.513 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.513 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.513 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
2.513 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.514 * [backup-simplify]: Simplify (+ 0 0) into 0
2.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
2.514 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
2.514 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.514 * [taylor]: Taking taylor expansion of 1/2 in y
2.514 * [backup-simplify]: Simplify 1/2 into 1/2
2.514 * [taylor]: Taking taylor expansion of y in y
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [taylor]: Taking taylor expansion of 0 in y
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify 0 into 0
2.516 * [backup-simplify]: Simplify (* 1 1) into 1
2.517 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.517 * [backup-simplify]: Simplify (+ 1 0) into 1
2.518 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.518 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.518 * [taylor]: Taking taylor expansion of 1/2 in y
2.518 * [backup-simplify]: Simplify 1/2 into 1/2
2.518 * [taylor]: Taking taylor expansion of y in y
2.518 * [backup-simplify]: Simplify 0 into 0
2.518 * [backup-simplify]: Simplify 1 into 1
2.519 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify 0 into 0
2.520 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
2.521 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))))) into (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))))
2.521 * [approximate]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in (z x y) around 0
2.521 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in y
2.521 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y
2.521 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.521 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.521 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.521 * [taylor]: Taking taylor expansion of x in y
2.521 * [backup-simplify]: Simplify x into x
2.521 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.521 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.521 * [taylor]: Taking taylor expansion of x in y
2.521 * [backup-simplify]: Simplify x into x
2.521 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.521 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.521 * [taylor]: Taking taylor expansion of y in y
2.521 * [backup-simplify]: Simplify 0 into 0
2.522 * [backup-simplify]: Simplify 1 into 1
2.522 * [backup-simplify]: Simplify (* 1 1) into 1
2.522 * [backup-simplify]: Simplify (/ 1 1) into 1
2.522 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.522 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.522 * [taylor]: Taking taylor expansion of z in y
2.522 * [backup-simplify]: Simplify z into z
2.523 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.523 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.523 * [backup-simplify]: Simplify (+ 0 1) into 1
2.524 * [backup-simplify]: Simplify (+ 1 0) into 1
2.524 * [backup-simplify]: Simplify (sqrt 1) into 1
2.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.527 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in x
2.527 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x
2.527 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.527 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.527 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.528 * [taylor]: Taking taylor expansion of x in x
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify 1 into 1
2.528 * [backup-simplify]: Simplify (/ 1 1) into 1
2.528 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.528 * [taylor]: Taking taylor expansion of x in x
2.528 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify 1 into 1
2.529 * [backup-simplify]: Simplify (/ 1 1) into 1
2.529 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.529 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.529 * [taylor]: Taking taylor expansion of y in x
2.529 * [backup-simplify]: Simplify y into y
2.529 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.529 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.529 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.529 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.529 * [taylor]: Taking taylor expansion of z in x
2.529 * [backup-simplify]: Simplify z into z
2.529 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.529 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.530 * [backup-simplify]: Simplify (* 1 1) into 1
2.530 * [backup-simplify]: Simplify (+ 1 0) into 1
2.531 * [backup-simplify]: Simplify (+ 1 0) into 1
2.531 * [backup-simplify]: Simplify (sqrt 1) into 1
2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.534 * [backup-simplify]: Simplify (+ 0 0) into 0
2.534 * [backup-simplify]: Simplify (+ 0 0) into 0
2.535 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.535 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in z
2.535 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.535 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.535 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.535 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.535 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.535 * [taylor]: Taking taylor expansion of x in z
2.535 * [backup-simplify]: Simplify x into x
2.535 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.535 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.535 * [taylor]: Taking taylor expansion of x in z
2.535 * [backup-simplify]: Simplify x into x
2.535 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.535 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.536 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.536 * [taylor]: Taking taylor expansion of y in z
2.536 * [backup-simplify]: Simplify y into y
2.536 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.536 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.536 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.536 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.536 * [taylor]: Taking taylor expansion of z in z
2.536 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify 1 into 1
2.536 * [backup-simplify]: Simplify (* 1 1) into 1
2.537 * [backup-simplify]: Simplify (/ 1 1) into 1
2.546 * [backup-simplify]: Simplify (+ 0 1) into 1
2.547 * [backup-simplify]: Simplify (sqrt 1) into 1
2.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.549 * [backup-simplify]: Simplify (+ 0 0) into 0
2.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.550 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in z
2.550 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.550 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.550 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.550 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.550 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.550 * [taylor]: Taking taylor expansion of x in z
2.550 * [backup-simplify]: Simplify x into x
2.550 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.550 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.550 * [taylor]: Taking taylor expansion of x in z
2.550 * [backup-simplify]: Simplify x into x
2.550 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.550 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.550 * [taylor]: Taking taylor expansion of y in z
2.550 * [backup-simplify]: Simplify y into y
2.550 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.551 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.551 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.551 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.551 * [taylor]: Taking taylor expansion of z in z
2.551 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify 1 into 1
2.551 * [backup-simplify]: Simplify (* 1 1) into 1
2.552 * [backup-simplify]: Simplify (/ 1 1) into 1
2.552 * [backup-simplify]: Simplify (+ 0 1) into 1
2.552 * [backup-simplify]: Simplify (sqrt 1) into 1
2.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.554 * [backup-simplify]: Simplify (+ 0 0) into 0
2.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.556 * [taylor]: Taking taylor expansion of 1 in x
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [taylor]: Taking taylor expansion of 0 in x
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [taylor]: Taking taylor expansion of 1 in y
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.556 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.560 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.562 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.562 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.562 * [taylor]: Taking taylor expansion of 1/2 in x
2.562 * [backup-simplify]: Simplify 1/2 into 1/2
2.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.562 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.562 * [taylor]: Taking taylor expansion of x in x
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 1 into 1
2.563 * [backup-simplify]: Simplify (* 1 1) into 1
2.563 * [backup-simplify]: Simplify (/ 1 1) into 1
2.563 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.563 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.563 * [taylor]: Taking taylor expansion of y in x
2.563 * [backup-simplify]: Simplify y into y
2.563 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.564 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.565 * [backup-simplify]: Simplify (+ 0 0) into 0
2.566 * [backup-simplify]: Simplify (+ 1 0) into 1
2.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.567 * [taylor]: Taking taylor expansion of 0 in y
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [taylor]: Taking taylor expansion of 0 in y
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [taylor]: Taking taylor expansion of 0 in y
2.567 * [backup-simplify]: Simplify 0 into 0
2.567 * [backup-simplify]: Simplify 1 into 1
2.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.567 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.567 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.568 * [backup-simplify]: Simplify (+ 0 0) into 0
2.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.570 * [backup-simplify]: Simplify (+ 0 0) into 0
2.571 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.571 * [taylor]: Taking taylor expansion of 0 in x
2.571 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.573 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.574 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.574 * [taylor]: Taking taylor expansion of 1/2 in y
2.574 * [backup-simplify]: Simplify 1/2 into 1/2
2.574 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.574 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.574 * [taylor]: Taking taylor expansion of y in y
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (* 1 1) into 1
2.575 * [backup-simplify]: Simplify (/ 1 1) into 1
2.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [taylor]: Taking taylor expansion of 0 in y
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [taylor]: Taking taylor expansion of 0 in y
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify 0 into 0
2.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.578 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.578 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.579 * [backup-simplify]: Simplify (+ 0 0) into 0
2.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.582 * [backup-simplify]: Simplify (+ 0 0) into 0
2.583 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
2.583 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
2.583 * [taylor]: Taking taylor expansion of -1/2 in x
2.583 * [backup-simplify]: Simplify -1/2 into -1/2
2.583 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
2.583 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.584 * [taylor]: Taking taylor expansion of 1/2 in x
2.584 * [backup-simplify]: Simplify 1/2 into 1/2
2.584 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.584 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.584 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.584 * [taylor]: Taking taylor expansion of x in x
2.584 * [backup-simplify]: Simplify 0 into 0
2.584 * [backup-simplify]: Simplify 1 into 1
2.584 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.584 * [taylor]: Taking taylor expansion of y in x
2.584 * [backup-simplify]: Simplify y into y
2.584 * [backup-simplify]: Simplify (* 1 1) into 1
2.584 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.584 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.585 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.585 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.585 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.585 * [taylor]: Taking taylor expansion of 1/4 in x
2.585 * [backup-simplify]: Simplify 1/4 into 1/4
2.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.585 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.585 * [taylor]: Taking taylor expansion of x in x
2.585 * [backup-simplify]: Simplify 0 into 0
2.585 * [backup-simplify]: Simplify 1 into 1
2.585 * [backup-simplify]: Simplify (* 1 1) into 1
2.586 * [backup-simplify]: Simplify (* 1 1) into 1
2.586 * [backup-simplify]: Simplify (/ 1 1) into 1
2.586 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.586 * [taylor]: Taking taylor expansion of 1/4 in x
2.586 * [backup-simplify]: Simplify 1/4 into 1/4
2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.586 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.586 * [taylor]: Taking taylor expansion of y in x
2.586 * [backup-simplify]: Simplify y into y
2.586 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.587 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.587 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.587 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.593 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.598 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.598 * [backup-simplify]: Simplify (+ 0 0) into 0
2.599 * [backup-simplify]: Simplify (+ 0 0) into 0
2.599 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.600 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.600 * [backup-simplify]: Simplify (+ 0 0) into 0
2.601 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.601 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.602 * [backup-simplify]: Simplify (+ 0 0) into 0
2.602 * [backup-simplify]: Simplify (+ 0 0) into 0
2.603 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.603 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.603 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.605 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.605 * [taylor]: Taking taylor expansion of 0 in y
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [taylor]: Taking taylor expansion of 0 in y
2.605 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.607 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.608 * [backup-simplify]: Simplify (+ 0 0) into 0
2.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.609 * [taylor]: Taking taylor expansion of 0 in y
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [taylor]: Taking taylor expansion of 0 in y
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [taylor]: Taking taylor expansion of 0 in y
2.609 * [backup-simplify]: Simplify 0 into 0
2.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.612 * [backup-simplify]: Simplify 0 into 0
2.613 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
2.613 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))))
2.613 * [approximate]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in (z x y) around 0
2.613 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in y
2.613 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y
2.613 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.614 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.614 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.614 * [taylor]: Taking taylor expansion of -1 in y
2.614 * [backup-simplify]: Simplify -1 into -1
2.614 * [taylor]: Taking taylor expansion of x in y
2.614 * [backup-simplify]: Simplify x into x
2.614 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.614 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.614 * [taylor]: Taking taylor expansion of -1 in y
2.614 * [backup-simplify]: Simplify -1 into -1
2.614 * [taylor]: Taking taylor expansion of x in y
2.614 * [backup-simplify]: Simplify x into x
2.614 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.614 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.614 * [taylor]: Taking taylor expansion of y in y
2.614 * [backup-simplify]: Simplify 0 into 0
2.614 * [backup-simplify]: Simplify 1 into 1
2.615 * [backup-simplify]: Simplify (* 1 1) into 1
2.615 * [backup-simplify]: Simplify (/ 1 1) into 1
2.615 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.615 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.615 * [taylor]: Taking taylor expansion of z in y
2.615 * [backup-simplify]: Simplify z into z
2.616 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.616 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.617 * [backup-simplify]: Simplify (+ 0 1) into 1
2.618 * [backup-simplify]: Simplify (+ 1 0) into 1
2.618 * [backup-simplify]: Simplify (sqrt 1) into 1
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.620 * [backup-simplify]: Simplify (+ 0 0) into 0
2.620 * [backup-simplify]: Simplify (+ 0 0) into 0
2.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.621 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in x
2.621 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x
2.621 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.621 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.621 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.621 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.621 * [taylor]: Taking taylor expansion of -1 in x
2.621 * [backup-simplify]: Simplify -1 into -1
2.621 * [taylor]: Taking taylor expansion of x in x
2.621 * [backup-simplify]: Simplify 0 into 0
2.621 * [backup-simplify]: Simplify 1 into 1
2.622 * [backup-simplify]: Simplify (/ -1 1) into -1
2.622 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.622 * [taylor]: Taking taylor expansion of -1 in x
2.622 * [backup-simplify]: Simplify -1 into -1
2.622 * [taylor]: Taking taylor expansion of x in x
2.622 * [backup-simplify]: Simplify 0 into 0
2.622 * [backup-simplify]: Simplify 1 into 1
2.622 * [backup-simplify]: Simplify (/ -1 1) into -1
2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.623 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.623 * [taylor]: Taking taylor expansion of y in x
2.623 * [backup-simplify]: Simplify y into y
2.623 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.623 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.623 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.623 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.623 * [taylor]: Taking taylor expansion of z in x
2.623 * [backup-simplify]: Simplify z into z
2.623 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.623 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.623 * [backup-simplify]: Simplify (* -1 -1) into 1
2.623 * [backup-simplify]: Simplify (+ 1 0) into 1
2.624 * [backup-simplify]: Simplify (+ 1 0) into 1
2.624 * [backup-simplify]: Simplify (sqrt 1) into 1
2.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.625 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.626 * [backup-simplify]: Simplify (+ 0 0) into 0
2.626 * [backup-simplify]: Simplify (+ 0 0) into 0
2.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.626 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in z
2.626 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.626 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.627 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.627 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.627 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.627 * [taylor]: Taking taylor expansion of -1 in z
2.627 * [backup-simplify]: Simplify -1 into -1
2.627 * [taylor]: Taking taylor expansion of x in z
2.627 * [backup-simplify]: Simplify x into x
2.627 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.627 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.627 * [taylor]: Taking taylor expansion of -1 in z
2.627 * [backup-simplify]: Simplify -1 into -1
2.627 * [taylor]: Taking taylor expansion of x in z
2.627 * [backup-simplify]: Simplify x into x
2.627 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.627 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.627 * [taylor]: Taking taylor expansion of y in z
2.627 * [backup-simplify]: Simplify y into y
2.627 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.627 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.627 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.627 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.627 * [taylor]: Taking taylor expansion of z in z
2.627 * [backup-simplify]: Simplify 0 into 0
2.627 * [backup-simplify]: Simplify 1 into 1
2.627 * [backup-simplify]: Simplify (* 1 1) into 1
2.628 * [backup-simplify]: Simplify (/ 1 1) into 1
2.628 * [backup-simplify]: Simplify (+ 0 1) into 1
2.628 * [backup-simplify]: Simplify (sqrt 1) into 1
2.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.629 * [backup-simplify]: Simplify (+ 0 0) into 0
2.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.630 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in z
2.630 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.630 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.630 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.630 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.630 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.630 * [taylor]: Taking taylor expansion of -1 in z
2.630 * [backup-simplify]: Simplify -1 into -1
2.630 * [taylor]: Taking taylor expansion of x in z
2.630 * [backup-simplify]: Simplify x into x
2.630 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.630 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.630 * [taylor]: Taking taylor expansion of -1 in z
2.630 * [backup-simplify]: Simplify -1 into -1
2.630 * [taylor]: Taking taylor expansion of x in z
2.630 * [backup-simplify]: Simplify x into x
2.630 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.630 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.630 * [taylor]: Taking taylor expansion of y in z
2.630 * [backup-simplify]: Simplify y into y
2.630 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.630 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.630 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.630 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.630 * [taylor]: Taking taylor expansion of z in z
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [backup-simplify]: Simplify 1 into 1
2.631 * [backup-simplify]: Simplify (* 1 1) into 1
2.631 * [backup-simplify]: Simplify (/ 1 1) into 1
2.631 * [backup-simplify]: Simplify (+ 0 1) into 1
2.631 * [backup-simplify]: Simplify (sqrt 1) into 1
2.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.632 * [backup-simplify]: Simplify (+ 0 0) into 0
2.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.633 * [taylor]: Taking taylor expansion of 1 in x
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [taylor]: Taking taylor expansion of 0 in x
2.633 * [backup-simplify]: Simplify 0 into 0
2.633 * [taylor]: Taking taylor expansion of 1 in y
2.633 * [backup-simplify]: Simplify 1 into 1
2.633 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.633 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.635 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.636 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.636 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.636 * [taylor]: Taking taylor expansion of 1/2 in x
2.636 * [backup-simplify]: Simplify 1/2 into 1/2
2.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.636 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.636 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.636 * [taylor]: Taking taylor expansion of x in x
2.636 * [backup-simplify]: Simplify 0 into 0
2.636 * [backup-simplify]: Simplify 1 into 1
2.636 * [backup-simplify]: Simplify (* 1 1) into 1
2.636 * [backup-simplify]: Simplify (/ 1 1) into 1
2.636 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.636 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.636 * [taylor]: Taking taylor expansion of y in x
2.636 * [backup-simplify]: Simplify y into y
2.636 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.636 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.637 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.638 * [backup-simplify]: Simplify (+ 0 0) into 0
2.638 * [backup-simplify]: Simplify (+ 1 0) into 1
2.638 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.638 * [taylor]: Taking taylor expansion of 0 in y
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [taylor]: Taking taylor expansion of 0 in y
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [taylor]: Taking taylor expansion of 0 in y
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 1 into 1
2.639 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.639 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.639 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.639 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.639 * [backup-simplify]: Simplify (+ 0 0) into 0
2.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.641 * [backup-simplify]: Simplify (+ 0 0) into 0
2.641 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.641 * [taylor]: Taking taylor expansion of 0 in x
2.641 * [backup-simplify]: Simplify 0 into 0
2.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.642 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.643 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.643 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.643 * [taylor]: Taking taylor expansion of 1/2 in y
2.643 * [backup-simplify]: Simplify 1/2 into 1/2
2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.643 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.643 * [taylor]: Taking taylor expansion of y in y
2.643 * [backup-simplify]: Simplify 0 into 0
2.643 * [backup-simplify]: Simplify 1 into 1
2.643 * [backup-simplify]: Simplify (* 1 1) into 1
2.644 * [backup-simplify]: Simplify (/ 1 1) into 1
2.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [taylor]: Taking taylor expansion of 0 in y
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [taylor]: Taking taylor expansion of 0 in y
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify 0 into 0
2.645 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.645 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.646 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
2.646 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.646 * [backup-simplify]: Simplify (+ 0 0) into 0
2.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.648 * [backup-simplify]: Simplify (+ 0 0) into 0
2.649 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
2.649 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
2.649 * [taylor]: Taking taylor expansion of -1/2 in x
2.649 * [backup-simplify]: Simplify -1/2 into -1/2
2.649 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
2.649 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.649 * [taylor]: Taking taylor expansion of 1/2 in x
2.649 * [backup-simplify]: Simplify 1/2 into 1/2
2.649 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.649 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.649 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.649 * [taylor]: Taking taylor expansion of x in x
2.649 * [backup-simplify]: Simplify 0 into 0
2.649 * [backup-simplify]: Simplify 1 into 1
2.649 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.649 * [taylor]: Taking taylor expansion of y in x
2.649 * [backup-simplify]: Simplify y into y
2.649 * [backup-simplify]: Simplify (* 1 1) into 1
2.649 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.650 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.650 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.650 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.650 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.650 * [taylor]: Taking taylor expansion of 1/4 in x
2.650 * [backup-simplify]: Simplify 1/4 into 1/4
2.650 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.650 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.650 * [taylor]: Taking taylor expansion of x in x
2.650 * [backup-simplify]: Simplify 0 into 0
2.650 * [backup-simplify]: Simplify 1 into 1
2.650 * [backup-simplify]: Simplify (* 1 1) into 1
2.650 * [backup-simplify]: Simplify (* 1 1) into 1
2.651 * [backup-simplify]: Simplify (/ 1 1) into 1
2.651 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.651 * [taylor]: Taking taylor expansion of 1/4 in x
2.651 * [backup-simplify]: Simplify 1/4 into 1/4
2.651 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.651 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.651 * [taylor]: Taking taylor expansion of y in x
2.651 * [backup-simplify]: Simplify y into y
2.651 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.651 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.651 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.651 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.660 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.661 * [backup-simplify]: Simplify (+ 0 0) into 0
2.661 * [backup-simplify]: Simplify (+ 0 0) into 0
2.661 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.663 * [backup-simplify]: Simplify (+ 0 0) into 0
2.663 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.664 * [backup-simplify]: Simplify (+ 0 0) into 0
2.664 * [backup-simplify]: Simplify (+ 0 0) into 0
2.665 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.665 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.666 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.667 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.667 * [taylor]: Taking taylor expansion of 0 in y
2.667 * [backup-simplify]: Simplify 0 into 0
2.667 * [taylor]: Taking taylor expansion of 0 in y
2.667 * [backup-simplify]: Simplify 0 into 0
2.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.669 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.670 * [backup-simplify]: Simplify (+ 0 0) into 0
2.671 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.671 * [taylor]: Taking taylor expansion of 0 in y
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [taylor]: Taking taylor expansion of 0 in y
2.671 * [backup-simplify]: Simplify 0 into 0
2.671 * [taylor]: Taking taylor expansion of 0 in y
2.671 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.674 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
2.674 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
2.674 * [backup-simplify]: Simplify (+ (* z z) (fma x x (* y y))) into (+ (fma x x (pow y 2)) (pow z 2))
2.674 * [approximate]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in (z x y) around 0
2.674 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in y
2.674 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.674 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.675 * [taylor]: Taking taylor expansion of (* x x) in y
2.675 * [taylor]: Taking taylor expansion of x in y
2.675 * [backup-simplify]: Simplify x into x
2.675 * [taylor]: Taking taylor expansion of x in y
2.675 * [backup-simplify]: Simplify x into x
2.675 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.675 * [taylor]: Taking taylor expansion of y in y
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 1 into 1
2.675 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.675 * [taylor]: Taking taylor expansion of z in y
2.675 * [backup-simplify]: Simplify z into z
2.675 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in x
2.675 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.675 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.675 * [taylor]: Taking taylor expansion of (* x x) in x
2.675 * [taylor]: Taking taylor expansion of x in x
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 1 into 1
2.675 * [taylor]: Taking taylor expansion of x in x
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 1 into 1
2.675 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.675 * [taylor]: Taking taylor expansion of y in x
2.675 * [backup-simplify]: Simplify y into y
2.675 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.675 * [taylor]: Taking taylor expansion of z in x
2.675 * [backup-simplify]: Simplify z into z
2.675 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in z
2.675 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.676 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.676 * [taylor]: Taking taylor expansion of (* x x) in z
2.676 * [taylor]: Taking taylor expansion of x in z
2.676 * [backup-simplify]: Simplify x into x
2.676 * [taylor]: Taking taylor expansion of x in z
2.676 * [backup-simplify]: Simplify x into x
2.676 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.676 * [taylor]: Taking taylor expansion of y in z
2.676 * [backup-simplify]: Simplify y into y
2.676 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.676 * [taylor]: Taking taylor expansion of z in z
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 1 into 1
2.676 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in z
2.676 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.676 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.676 * [taylor]: Taking taylor expansion of (* x x) in z
2.676 * [taylor]: Taking taylor expansion of x in z
2.676 * [backup-simplify]: Simplify x into x
2.676 * [taylor]: Taking taylor expansion of x in z
2.676 * [backup-simplify]: Simplify x into x
2.676 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.676 * [taylor]: Taking taylor expansion of y in z
2.676 * [backup-simplify]: Simplify y into y
2.676 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.676 * [taylor]: Taking taylor expansion of z in z
2.676 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify 1 into 1
2.676 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.676 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.677 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.677 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
2.677 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.677 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.677 * [taylor]: Taking taylor expansion of x in x
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 1 into 1
2.678 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.678 * [taylor]: Taking taylor expansion of y in x
2.678 * [backup-simplify]: Simplify y into y
2.678 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.678 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.678 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.678 * [taylor]: Taking taylor expansion of y in y
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 1 into 1
2.678 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.678 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.679 * [backup-simplify]: Simplify (+ 0 0) into 0
2.679 * [backup-simplify]: Simplify (+ 0 0) into 0
2.679 * [taylor]: Taking taylor expansion of 0 in x
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [taylor]: Taking taylor expansion of 0 in y
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify 0 into 0
2.679 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.680 * [backup-simplify]: Simplify (+ 0 0) into 0
2.680 * [taylor]: Taking taylor expansion of 0 in y
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify 0 into 0
2.680 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.681 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.688 * [backup-simplify]: Simplify (+ 0 0) into 0
2.689 * [backup-simplify]: Simplify (* 1 1) into 1
2.689 * [backup-simplify]: Simplify (+ 0 1) into 1
2.689 * [taylor]: Taking taylor expansion of 1 in x
2.689 * [backup-simplify]: Simplify 1 into 1
2.689 * [taylor]: Taking taylor expansion of 1 in y
2.689 * [backup-simplify]: Simplify 1 into 1
2.689 * [backup-simplify]: Simplify 1 into 1
2.689 * [taylor]: Taking taylor expansion of 0 in y
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify 0 into 0
2.690 * [backup-simplify]: Simplify (* 1 1) into 1
2.690 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.690 * [backup-simplify]: Simplify (+ 1 0) into 1
2.690 * [taylor]: Taking taylor expansion of 1 in y
2.690 * [backup-simplify]: Simplify 1 into 1
2.690 * [backup-simplify]: Simplify 1 into 1
2.690 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify 0 into 0
2.691 * [backup-simplify]: Simplify (* 1 1) into 1
2.691 * [backup-simplify]: Simplify 1 into 1
2.692 * [backup-simplify]: Simplify (+ (* 1 (pow (* y (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* x 1)) 2)) (* 1 (pow (* 1 (* 1 z)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
2.692 * [backup-simplify]: Simplify (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))
2.692 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (z x y) around 0
2.692 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y
2.692 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.692 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.692 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.692 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.692 * [taylor]: Taking taylor expansion of x in y
2.693 * [backup-simplify]: Simplify x into x
2.693 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.693 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.693 * [taylor]: Taking taylor expansion of x in y
2.693 * [backup-simplify]: Simplify x into x
2.693 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.693 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.693 * [taylor]: Taking taylor expansion of y in y
2.693 * [backup-simplify]: Simplify 0 into 0
2.693 * [backup-simplify]: Simplify 1 into 1
2.693 * [backup-simplify]: Simplify (* 1 1) into 1
2.693 * [backup-simplify]: Simplify (/ 1 1) into 1
2.693 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.693 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.693 * [taylor]: Taking taylor expansion of z in y
2.693 * [backup-simplify]: Simplify z into z
2.693 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.693 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.694 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x
2.694 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.694 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.694 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.694 * [taylor]: Taking taylor expansion of x in x
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.694 * [backup-simplify]: Simplify (/ 1 1) into 1
2.694 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.694 * [taylor]: Taking taylor expansion of x in x
2.694 * [backup-simplify]: Simplify 0 into 0
2.694 * [backup-simplify]: Simplify 1 into 1
2.694 * [backup-simplify]: Simplify (/ 1 1) into 1
2.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.694 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.694 * [taylor]: Taking taylor expansion of y in x
2.694 * [backup-simplify]: Simplify y into y
2.694 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.694 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.695 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.695 * [taylor]: Taking taylor expansion of z in x
2.695 * [backup-simplify]: Simplify z into z
2.695 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.695 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.695 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.695 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.695 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.695 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.695 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.695 * [taylor]: Taking taylor expansion of x in z
2.695 * [backup-simplify]: Simplify x into x
2.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.695 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.695 * [taylor]: Taking taylor expansion of x in z
2.695 * [backup-simplify]: Simplify x into x
2.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.695 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.695 * [taylor]: Taking taylor expansion of y in z
2.695 * [backup-simplify]: Simplify y into y
2.695 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.695 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.695 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.695 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.695 * [taylor]: Taking taylor expansion of z in z
2.695 * [backup-simplify]: Simplify 0 into 0
2.695 * [backup-simplify]: Simplify 1 into 1
2.696 * [backup-simplify]: Simplify (* 1 1) into 1
2.696 * [backup-simplify]: Simplify (/ 1 1) into 1
2.696 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.696 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.696 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.696 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.696 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.696 * [taylor]: Taking taylor expansion of x in z
2.696 * [backup-simplify]: Simplify x into x
2.696 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.696 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.696 * [taylor]: Taking taylor expansion of x in z
2.696 * [backup-simplify]: Simplify x into x
2.696 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.696 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.696 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.696 * [taylor]: Taking taylor expansion of y in z
2.696 * [backup-simplify]: Simplify y into y
2.696 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.696 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.696 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.696 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.696 * [taylor]: Taking taylor expansion of z in z
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify 1 into 1
2.697 * [backup-simplify]: Simplify (* 1 1) into 1
2.697 * [backup-simplify]: Simplify (/ 1 1) into 1
2.697 * [backup-simplify]: Simplify (+ 0 1) into 1
2.697 * [taylor]: Taking taylor expansion of 1 in x
2.697 * [backup-simplify]: Simplify 1 into 1
2.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.698 * [backup-simplify]: Simplify (+ 0 0) into 0
2.698 * [taylor]: Taking taylor expansion of 0 in x
2.698 * [backup-simplify]: Simplify 0 into 0
2.699 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.699 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.700 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.700 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.700 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.700 * [taylor]: Taking taylor expansion of x in x
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify 1 into 1
2.700 * [backup-simplify]: Simplify (* 1 1) into 1
2.701 * [backup-simplify]: Simplify (/ 1 1) into 1
2.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.701 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.701 * [taylor]: Taking taylor expansion of y in x
2.701 * [backup-simplify]: Simplify y into y
2.701 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.701 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.701 * [backup-simplify]: Simplify (+ 1 0) into 1
2.701 * [taylor]: Taking taylor expansion of 1 in y
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [taylor]: Taking taylor expansion of 1 in y
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.702 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.702 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.702 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.703 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [taylor]: Taking taylor expansion of 0 in x
2.703 * [backup-simplify]: Simplify 0 into 0
2.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.704 * [backup-simplify]: Simplify (+ 0 0) into 0
2.704 * [taylor]: Taking taylor expansion of 0 in y
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [taylor]: Taking taylor expansion of 0 in y
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [taylor]: Taking taylor expansion of 0 in y
2.705 * [backup-simplify]: Simplify 0 into 0
2.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.705 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.705 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.705 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.707 * [backup-simplify]: Simplify (+ 0 0) into 0
2.707 * [taylor]: Taking taylor expansion of 0 in x
2.707 * [backup-simplify]: Simplify 0 into 0
2.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.709 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.709 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.709 * [taylor]: Taking taylor expansion of y in y
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [backup-simplify]: Simplify (* 1 1) into 1
2.709 * [backup-simplify]: Simplify (/ 1 1) into 1
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [taylor]: Taking taylor expansion of 0 in y
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [taylor]: Taking taylor expansion of 0 in y
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [backup-simplify]: Simplify 1 into 1
2.710 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 z)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 x)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
2.710 * [backup-simplify]: Simplify (+ (* (/ 1 (- z)) (/ 1 (- z))) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))
2.710 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (z x y) around 0
2.710 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y
2.710 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.711 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.711 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.711 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.711 * [taylor]: Taking taylor expansion of -1 in y
2.711 * [backup-simplify]: Simplify -1 into -1
2.711 * [taylor]: Taking taylor expansion of x in y
2.711 * [backup-simplify]: Simplify x into x
2.711 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.711 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.711 * [taylor]: Taking taylor expansion of -1 in y
2.711 * [backup-simplify]: Simplify -1 into -1
2.711 * [taylor]: Taking taylor expansion of x in y
2.711 * [backup-simplify]: Simplify x into x
2.711 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.711 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.711 * [taylor]: Taking taylor expansion of y in y
2.711 * [backup-simplify]: Simplify 0 into 0
2.711 * [backup-simplify]: Simplify 1 into 1
2.711 * [backup-simplify]: Simplify (* 1 1) into 1
2.711 * [backup-simplify]: Simplify (/ 1 1) into 1
2.711 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.711 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.711 * [taylor]: Taking taylor expansion of z in y
2.712 * [backup-simplify]: Simplify z into z
2.712 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.712 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.712 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x
2.712 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.712 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.712 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.712 * [taylor]: Taking taylor expansion of -1 in x
2.712 * [backup-simplify]: Simplify -1 into -1
2.712 * [taylor]: Taking taylor expansion of x in x
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.712 * [backup-simplify]: Simplify (/ -1 1) into -1
2.712 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.712 * [taylor]: Taking taylor expansion of -1 in x
2.712 * [backup-simplify]: Simplify -1 into -1
2.712 * [taylor]: Taking taylor expansion of x in x
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [backup-simplify]: Simplify 1 into 1
2.713 * [backup-simplify]: Simplify (/ -1 1) into -1
2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.713 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.713 * [taylor]: Taking taylor expansion of y in x
2.713 * [backup-simplify]: Simplify y into y
2.713 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.713 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.713 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.713 * [taylor]: Taking taylor expansion of z in x
2.713 * [backup-simplify]: Simplify z into z
2.713 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.713 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.713 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.713 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.713 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.713 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.713 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.713 * [taylor]: Taking taylor expansion of -1 in z
2.713 * [backup-simplify]: Simplify -1 into -1
2.713 * [taylor]: Taking taylor expansion of x in z
2.713 * [backup-simplify]: Simplify x into x
2.713 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.713 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.713 * [taylor]: Taking taylor expansion of -1 in z
2.713 * [backup-simplify]: Simplify -1 into -1
2.713 * [taylor]: Taking taylor expansion of x in z
2.713 * [backup-simplify]: Simplify x into x
2.713 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.713 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.713 * [taylor]: Taking taylor expansion of y in z
2.713 * [backup-simplify]: Simplify y into y
2.714 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.714 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.714 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.714 * [taylor]: Taking taylor expansion of z in z
2.714 * [backup-simplify]: Simplify 0 into 0
2.714 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify (* 1 1) into 1
2.714 * [backup-simplify]: Simplify (/ 1 1) into 1
2.714 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.714 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.714 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.714 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.714 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.714 * [taylor]: Taking taylor expansion of -1 in z
2.714 * [backup-simplify]: Simplify -1 into -1
2.714 * [taylor]: Taking taylor expansion of x in z
2.714 * [backup-simplify]: Simplify x into x
2.715 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.715 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.715 * [taylor]: Taking taylor expansion of -1 in z
2.715 * [backup-simplify]: Simplify -1 into -1
2.715 * [taylor]: Taking taylor expansion of x in z
2.715 * [backup-simplify]: Simplify x into x
2.715 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.715 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.715 * [taylor]: Taking taylor expansion of y in z
2.715 * [backup-simplify]: Simplify y into y
2.715 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.715 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.715 * [taylor]: Taking taylor expansion of z in z
2.715 * [backup-simplify]: Simplify 0 into 0
2.715 * [backup-simplify]: Simplify 1 into 1
2.715 * [backup-simplify]: Simplify (* 1 1) into 1
2.715 * [backup-simplify]: Simplify (/ 1 1) into 1
2.716 * [backup-simplify]: Simplify (+ 0 1) into 1
2.716 * [taylor]: Taking taylor expansion of 1 in x
2.716 * [backup-simplify]: Simplify 1 into 1
2.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.717 * [backup-simplify]: Simplify (+ 0 0) into 0
2.717 * [taylor]: Taking taylor expansion of 0 in x
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.717 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.719 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.719 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.719 * [taylor]: Taking taylor expansion of x in x
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify 1 into 1
2.719 * [backup-simplify]: Simplify (* 1 1) into 1
2.719 * [backup-simplify]: Simplify (/ 1 1) into 1
2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.719 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.719 * [taylor]: Taking taylor expansion of y in x
2.719 * [backup-simplify]: Simplify y into y
2.719 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.720 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.720 * [backup-simplify]: Simplify (+ 1 0) into 1
2.720 * [taylor]: Taking taylor expansion of 1 in y
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [taylor]: Taking taylor expansion of 1 in y
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.721 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.721 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.721 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.721 * [backup-simplify]: Simplify (+ 0 0) into 0
2.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.724 * [backup-simplify]: Simplify (+ 0 0) into 0
2.724 * [taylor]: Taking taylor expansion of 0 in x
2.724 * [backup-simplify]: Simplify 0 into 0
2.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.725 * [backup-simplify]: Simplify (+ 0 0) into 0
2.725 * [taylor]: Taking taylor expansion of 0 in y
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [taylor]: Taking taylor expansion of 0 in y
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [taylor]: Taking taylor expansion of 0 in y
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.726 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.726 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
2.726 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.729 * [backup-simplify]: Simplify (+ 0 0) into 0
2.729 * [taylor]: Taking taylor expansion of 0 in x
2.729 * [backup-simplify]: Simplify 0 into 0
2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.730 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.730 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.730 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.730 * [taylor]: Taking taylor expansion of y in y
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [backup-simplify]: Simplify (* 1 1) into 1
2.730 * [backup-simplify]: Simplify (/ 1 1) into 1
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [taylor]: Taking taylor expansion of 0 in y
2.730 * [backup-simplify]: Simplify 0 into 0
2.731 * [taylor]: Taking taylor expansion of 0 in y
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 1 into 1
2.731 * [backup-simplify]: Simplify 1 into 1
2.731 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- z))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- x))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
2.731 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2)
2.732 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2))
2.732 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0
2.732 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.732 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.732 * [taylor]: Taking taylor expansion of (* x x) in y
2.732 * [taylor]: Taking taylor expansion of x in y
2.732 * [backup-simplify]: Simplify x into x
2.732 * [taylor]: Taking taylor expansion of x in y
2.732 * [backup-simplify]: Simplify x into x
2.732 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.732 * [taylor]: Taking taylor expansion of y in y
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.732 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.732 * [taylor]: Taking taylor expansion of (* x x) in x
2.732 * [taylor]: Taking taylor expansion of x in x
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [taylor]: Taking taylor expansion of x in x
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.732 * [taylor]: Taking taylor expansion of y in x
2.732 * [backup-simplify]: Simplify y into y
2.732 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.732 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.732 * [taylor]: Taking taylor expansion of (* x x) in x
2.732 * [taylor]: Taking taylor expansion of x in x
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [taylor]: Taking taylor expansion of x in x
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.732 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.732 * [taylor]: Taking taylor expansion of y in x
2.732 * [backup-simplify]: Simplify y into y
2.733 * [backup-simplify]: Simplify (* 0 0) into 0
2.733 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.733 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.733 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.733 * [taylor]: Taking taylor expansion of y in y
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 1 into 1
2.733 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.733 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.734 * [backup-simplify]: Simplify (+ 0 0) into 0
2.734 * [taylor]: Taking taylor expansion of 0 in y
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.734 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.735 * [backup-simplify]: Simplify (+ 1 0) into 1
2.735 * [taylor]: Taking taylor expansion of 1 in y
2.735 * [backup-simplify]: Simplify 1 into 1
2.735 * [backup-simplify]: Simplify 1 into 1
2.735 * [backup-simplify]: Simplify 0 into 0
2.735 * [backup-simplify]: Simplify (* 1 1) into 1
2.735 * [backup-simplify]: Simplify 1 into 1
2.736 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.736 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.736 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [taylor]: Taking taylor expansion of 0 in y
2.736 * [backup-simplify]: Simplify 0 into 0
2.736 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.737 * [backup-simplify]: Simplify 0 into 0
2.738 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.739 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.739 * [backup-simplify]: Simplify (+ 0 0) into 0
2.739 * [taylor]: Taking taylor expansion of 0 in y
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify 0 into 0
2.739 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.739 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))
2.740 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0
2.740 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.740 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.740 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.740 * [taylor]: Taking taylor expansion of x in y
2.740 * [backup-simplify]: Simplify x into x
2.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.740 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.740 * [taylor]: Taking taylor expansion of x in y
2.740 * [backup-simplify]: Simplify x into x
2.740 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.740 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.740 * [taylor]: Taking taylor expansion of y in y
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 1 into 1
2.740 * [backup-simplify]: Simplify (* 1 1) into 1
2.740 * [backup-simplify]: Simplify (/ 1 1) into 1
2.740 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.741 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.741 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.741 * [taylor]: Taking taylor expansion of x in x
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.741 * [backup-simplify]: Simplify (/ 1 1) into 1
2.741 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.741 * [taylor]: Taking taylor expansion of x in x
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 1 into 1
2.742 * [backup-simplify]: Simplify (/ 1 1) into 1
2.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.742 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.742 * [taylor]: Taking taylor expansion of y in x
2.742 * [backup-simplify]: Simplify y into y
2.742 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.742 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.742 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.742 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.742 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.742 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.742 * [taylor]: Taking taylor expansion of x in x
2.742 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (/ 1 1) into 1
2.743 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.743 * [taylor]: Taking taylor expansion of x in x
2.743 * [backup-simplify]: Simplify 0 into 0
2.743 * [backup-simplify]: Simplify 1 into 1
2.743 * [backup-simplify]: Simplify (/ 1 1) into 1
2.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.743 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.743 * [taylor]: Taking taylor expansion of y in x
2.743 * [backup-simplify]: Simplify y into y
2.743 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.743 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.744 * [backup-simplify]: Simplify (* 1 1) into 1
2.744 * [backup-simplify]: Simplify (+ 1 0) into 1
2.744 * [taylor]: Taking taylor expansion of 1 in y
2.744 * [backup-simplify]: Simplify 1 into 1
2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.747 * [backup-simplify]: Simplify (+ 0 0) into 0
2.747 * [taylor]: Taking taylor expansion of 0 in y
2.747 * [backup-simplify]: Simplify 0 into 0
2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.750 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.750 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.750 * [taylor]: Taking taylor expansion of y in y
2.750 * [backup-simplify]: Simplify 0 into 0
2.750 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify (* 1 1) into 1
2.750 * [backup-simplify]: Simplify (/ 1 1) into 1
2.751 * [backup-simplify]: Simplify 1 into 1
2.751 * [backup-simplify]: Simplify 1 into 1
2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.753 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.754 * [backup-simplify]: Simplify (+ 0 0) into 0
2.754 * [taylor]: Taking taylor expansion of 0 in y
2.754 * [backup-simplify]: Simplify 0 into 0
2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.759 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.760 * [backup-simplify]: Simplify (+ 0 0) into 0
2.760 * [taylor]: Taking taylor expansion of 0 in y
2.760 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.763 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))
2.763 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0
2.763 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.763 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.763 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.763 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.763 * [taylor]: Taking taylor expansion of -1 in y
2.763 * [backup-simplify]: Simplify -1 into -1
2.763 * [taylor]: Taking taylor expansion of x in y
2.763 * [backup-simplify]: Simplify x into x
2.763 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.764 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.764 * [taylor]: Taking taylor expansion of -1 in y
2.764 * [backup-simplify]: Simplify -1 into -1
2.764 * [taylor]: Taking taylor expansion of x in y
2.764 * [backup-simplify]: Simplify x into x
2.764 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.764 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.764 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.764 * [taylor]: Taking taylor expansion of y in y
2.764 * [backup-simplify]: Simplify 0 into 0
2.764 * [backup-simplify]: Simplify 1 into 1
2.764 * [backup-simplify]: Simplify (* 1 1) into 1
2.765 * [backup-simplify]: Simplify (/ 1 1) into 1
2.765 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.765 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.765 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.765 * [taylor]: Taking taylor expansion of -1 in x
2.765 * [backup-simplify]: Simplify -1 into -1
2.765 * [taylor]: Taking taylor expansion of x in x
2.765 * [backup-simplify]: Simplify 0 into 0
2.765 * [backup-simplify]: Simplify 1 into 1
2.765 * [backup-simplify]: Simplify (/ -1 1) into -1
2.765 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.765 * [taylor]: Taking taylor expansion of -1 in x
2.766 * [backup-simplify]: Simplify -1 into -1
2.766 * [taylor]: Taking taylor expansion of x in x
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [backup-simplify]: Simplify 1 into 1
2.766 * [backup-simplify]: Simplify (/ -1 1) into -1
2.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.766 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.766 * [taylor]: Taking taylor expansion of y in x
2.766 * [backup-simplify]: Simplify y into y
2.766 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.766 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.766 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.767 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.767 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.767 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.767 * [taylor]: Taking taylor expansion of -1 in x
2.767 * [backup-simplify]: Simplify -1 into -1
2.767 * [taylor]: Taking taylor expansion of x in x
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 1 into 1
2.767 * [backup-simplify]: Simplify (/ -1 1) into -1
2.767 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.767 * [taylor]: Taking taylor expansion of -1 in x
2.767 * [backup-simplify]: Simplify -1 into -1
2.767 * [taylor]: Taking taylor expansion of x in x
2.767 * [backup-simplify]: Simplify 0 into 0
2.767 * [backup-simplify]: Simplify 1 into 1
2.768 * [backup-simplify]: Simplify (/ -1 1) into -1
2.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.768 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.768 * [taylor]: Taking taylor expansion of y in x
2.768 * [backup-simplify]: Simplify y into y
2.768 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.768 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.768 * [backup-simplify]: Simplify (* -1 -1) into 1
2.769 * [backup-simplify]: Simplify (+ 1 0) into 1
2.769 * [taylor]: Taking taylor expansion of 1 in y
2.769 * [backup-simplify]: Simplify 1 into 1
2.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.770 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.770 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.770 * [backup-simplify]: Simplify (+ 0 0) into 0
2.770 * [taylor]: Taking taylor expansion of 0 in y
2.770 * [backup-simplify]: Simplify 0 into 0
2.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.772 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.772 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.772 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.772 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.772 * [taylor]: Taking taylor expansion of y in y
2.772 * [backup-simplify]: Simplify 0 into 0
2.772 * [backup-simplify]: Simplify 1 into 1
2.773 * [backup-simplify]: Simplify (* 1 1) into 1
2.773 * [backup-simplify]: Simplify (/ 1 1) into 1
2.773 * [backup-simplify]: Simplify 1 into 1
2.773 * [backup-simplify]: Simplify 1 into 1
2.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.775 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.775 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.775 * [backup-simplify]: Simplify (+ 0 0) into 0
2.775 * [taylor]: Taking taylor expansion of 0 in y
2.775 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify 0 into 0
2.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.778 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.778 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.779 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.779 * [backup-simplify]: Simplify (+ 0 0) into 0
2.779 * [taylor]: Taking taylor expansion of 0 in y
2.779 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.780 * * * [progress]: simplifying candidates
2.781 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* z z) (fma x x (* y y)))))
  (log1p (sqrt (+ (* z z) (fma x x (* y y)))))
  (log (sqrt (+ (* z z) (fma x x (* y y)))))
  (exp (sqrt (+ (* z z) (fma x x (* y y)))))
  (* (cbrt (sqrt (+ (* z z) (fma x x (* y y))))) (cbrt (sqrt (+ (* z z) (fma x x (* y y))))))
  (cbrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (* (* (sqrt (+ (* z z) (fma x x (* y y)))) (sqrt (+ (* z z) (fma x x (* y y))))) (sqrt (+ (* z z) (fma x x (* y y)))))
  (sqrt (* (cbrt (+ (* z z) (fma x x (* y y)))) (cbrt (+ (* z z) (fma x x (* y y))))))
  (sqrt (cbrt (+ (* z z) (fma x x (* y y)))))
  (sqrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (sqrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (sqrt 1)
  (sqrt (+ (* z z) (fma x x (* y y))))
  (sqrt (+ (pow (* z z) 3) (pow (fma x x (* y y)) 3)))
  (sqrt (+ (* (* z z) (* z z)) (- (* (fma x x (* y y)) (fma x x (* y y))) (* (* z z) (fma x x (* y y))))))
  (sqrt (- (* (* z z) (* z z)) (* (fma x x (* y y)) (fma x x (* y y)))))
  (sqrt (- (* z z) (fma x x (* y y))))
  (/ 1 2)
  (sqrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (sqrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (expm1 (+ (* z z) (fma x x (* y y))))
  (log1p (+ (* z z) (fma x x (* y y))))
  (* (exp (* z z)) (exp (fma x x (* y y))))
  (log (+ (* z z) (fma x x (* y y))))
  (exp (+ (* z z) (fma x x (* y y))))
  (* (cbrt (+ (* z z) (fma x x (* y y)))) (cbrt (+ (* z z) (fma x x (* y y)))))
  (cbrt (+ (* z z) (fma x x (* y y))))
  (* (* (+ (* z z) (fma x x (* y y))) (+ (* z z) (fma x x (* y y)))) (+ (* z z) (fma x x (* y y))))
  (sqrt (+ (* z z) (fma x x (* y y))))
  (sqrt (+ (* z z) (fma x x (* y y))))
  (+ (pow (* z z) 3) (pow (fma x x (* y y)) 3))
  (+ (* (* z z) (* z z)) (- (* (fma x x (* y y)) (fma x x (* y y))) (* (* z z) (fma x x (* y y)))))
  (- (* (* z z) (* z z)) (* (fma x x (* y y)) (fma x x (* y y))))
  (- (* z z) (fma x x (* y y)))
  (+ (* z z) (* x x))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  y
  z
  (* -1 z)
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
2.782 * * [simplify]: Extracting # 0 : cost  0
2.782 * * [simplify]: Extracting # 1 : cost  0
2.782 * * [simplify]: Extracting # 2 : cost  0
2.782 * * [simplify]: Extracting # 3 : cost  0
2.782 * * [simplify]: Extracting # 4 : cost  0
2.782 * * [simplify]: Extracting # 5 : cost  0
2.783 * * [simplify]: iteration  0 :  66  enodes  (cost  675 )
2.796 * * [simplify]: Extracting # 0 : cost  0
2.796 * * [simplify]: Extracting # 1 : cost  0
2.796 * * [simplify]: Extracting # 2 : cost  0
2.796 * * [simplify]: Extracting # 3 : cost  0
2.796 * * [simplify]: Extracting # 4 : cost  0
2.796 * * [simplify]: iteration  1 :  139  enodes  (cost  576 )
2.874 * * [simplify]: Extracting # 0 : cost  0
2.875 * * [simplify]: Extracting # 1 : cost  0
2.876 * * [simplify]: Extracting # 2 : cost  0
2.877 * * [simplify]: Extracting # 3 : cost  0
2.878 * * [simplify]: Extracting # 4 : cost  0
2.879 * * [simplify]: iteration  2 :  437  enodes  (cost  523 )
3.309 * * [simplify]: Extracting # 0 : cost  0
3.313 * * [simplify]: Extracting # 1 : cost  0
3.317 * * [simplify]: Extracting # 2 : cost  0
3.321 * * [simplify]: Extracting # 3 : cost  0
3.325 * * [simplify]: Extracting # 4 : cost  0
3.328 * * [simplify]: iteration  3 :  1938  enodes  (cost  523 )
4.428 * * [simplify]: Extracting # 0 : cost  0
4.434 * * [simplify]: Extracting # 1 : cost  0
4.440 * * [simplify]: Extracting # 2 : cost  0
4.452 * * [simplify]: Extracting # 3 : cost  0
4.463 * * [simplify]: Extracting # 4 : cost  0
4.474 * * [simplify]: iteration done:  5000  enodes  (cost  523 )
4.475 * [simplify]: Simplified to:
  (expm1 (sqrt (fma z z (fma x x (* y y)))))
  (log1p (sqrt (fma z z (fma x x (* y y)))))
  (log (sqrt (fma z z (fma x x (* y y)))))
  (exp (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (pow (sqrt (fma z z (fma x x (* y y)))) 3)
  (fabs (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  1
  (sqrt (fma z z (fma x x (* y y))))
  (hypot (pow (fma x x (* y y)) 3/2) (pow z 3))
  (sqrt (fma (fma x x (* y y)) (- (fma x x (* y y)) (* z z)) (pow z 4)))
  (sqrt (- (pow z 4) (* (fma x x (* y y)) (fma x x (* y y)))))
  (sqrt (- (* z z) (fma x x (* y y))))
  1/2
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (expm1 (fma z z (fma x x (* y y))))
  (log1p (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (log (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))
  (cbrt (fma z z (fma x x (* y y))))
  (pow (fma z z (fma x x (* y y))) 3)
  (sqrt (fma z z (fma x x (* y y))))
  (sqrt (fma z z (fma x x (* y y))))
  (+ (pow z 6) (pow (fma x x (* y y)) 3))
  (fma (fma x x (* y y)) (- (fma x x (* y y)) (* z z)) (pow z 4))
  (- (pow z 4) (* (fma x x (* y y)) (fma x x (* y y))))
  (- (* z z) (fma x x (* y y)))
  (fma z z (pow x 2))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  y
  z
  (- z)
  (fma z z (fma x x (* y y)))
  (fma z z (fma x x (* y y)))
  (fma z z (fma x x (* y y)))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
4.476 * * * [progress]: adding candidates to table
4.652 * * [progress]: iteration 3 / 4
4.652 * * * [progress]: picking best candidate
4.668 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot z (sqrt (fma x x (* y y)))))>
4.668 * * * [progress]: localizing error
4.681 * * * [progress]: generating rewritten candidates
4.681 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
4.683 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
4.684 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1)
4.685 * * * [progress]: generating series expansions
4.685 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
4.685 * [backup-simplify]: Simplify (sqrt (fma x x (* y y))) into (sqrt (fma x x (pow y 2)))
4.685 * [approximate]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in (x y) around 0
4.685 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in y
4.685 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
4.685 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.685 * [taylor]: Taking taylor expansion of (* x x) in y
4.685 * [taylor]: Taking taylor expansion of x in y
4.685 * [backup-simplify]: Simplify x into x
4.685 * [taylor]: Taking taylor expansion of x in y
4.685 * [backup-simplify]: Simplify x into x
4.685 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.685 * [taylor]: Taking taylor expansion of y in y
4.685 * [backup-simplify]: Simplify 0 into 0
4.685 * [backup-simplify]: Simplify 1 into 1
4.685 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.685 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.685 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.685 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.686 * [backup-simplify]: Simplify (+ 0 0) into 0
4.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.686 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x
4.686 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
4.686 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.686 * [taylor]: Taking taylor expansion of (* x x) in x
4.686 * [taylor]: Taking taylor expansion of x in x
4.686 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify 1 into 1
4.686 * [taylor]: Taking taylor expansion of x in x
4.686 * [backup-simplify]: Simplify 0 into 0
4.686 * [backup-simplify]: Simplify 1 into 1
4.686 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.686 * [taylor]: Taking taylor expansion of y in x
4.686 * [backup-simplify]: Simplify y into y
4.687 * [backup-simplify]: Simplify (* 0 0) into 0
4.687 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.687 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.687 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.687 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.687 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.688 * [backup-simplify]: Simplify (+ 0 0) into 0
4.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.688 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x
4.688 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
4.688 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.688 * [taylor]: Taking taylor expansion of (* x x) in x
4.688 * [taylor]: Taking taylor expansion of x in x
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.688 * [taylor]: Taking taylor expansion of x in x
4.688 * [backup-simplify]: Simplify 0 into 0
4.688 * [backup-simplify]: Simplify 1 into 1
4.688 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.688 * [taylor]: Taking taylor expansion of y in x
4.688 * [backup-simplify]: Simplify y into y
4.688 * [backup-simplify]: Simplify (* 0 0) into 0
4.688 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.688 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.688 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.689 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.689 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.689 * [backup-simplify]: Simplify (+ 0 0) into 0
4.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.689 * [taylor]: Taking taylor expansion of y in y
4.689 * [backup-simplify]: Simplify 0 into 0
4.689 * [backup-simplify]: Simplify 1 into 1
4.689 * [backup-simplify]: Simplify 0 into 0
4.690 * [taylor]: Taking taylor expansion of 0 in y
4.690 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify 0 into 0
4.690 * [backup-simplify]: Simplify 1 into 1
4.690 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.690 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.691 * [backup-simplify]: Simplify (+ 1 0) into 1
4.691 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.691 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.691 * [taylor]: Taking taylor expansion of 1/2 in y
4.691 * [backup-simplify]: Simplify 1/2 into 1/2
4.691 * [taylor]: Taking taylor expansion of y in y
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.692 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.692 * [backup-simplify]: Simplify 0 into 0
4.693 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.693 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.694 * [backup-simplify]: Simplify (+ 0 0) into 0
4.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
4.694 * [taylor]: Taking taylor expansion of 0 in y
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify 0 into 0
4.694 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
4.695 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
4.695 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (x y) around 0
4.695 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
4.695 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
4.695 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.695 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.695 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.695 * [taylor]: Taking taylor expansion of x in y
4.695 * [backup-simplify]: Simplify x into x
4.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.695 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.695 * [taylor]: Taking taylor expansion of x in y
4.695 * [backup-simplify]: Simplify x into x
4.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.695 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.695 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.695 * [taylor]: Taking taylor expansion of y in y
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify 1 into 1
4.695 * [backup-simplify]: Simplify (* 1 1) into 1
4.696 * [backup-simplify]: Simplify (/ 1 1) into 1
4.696 * [backup-simplify]: Simplify (+ 0 1) into 1
4.696 * [backup-simplify]: Simplify (sqrt 1) into 1
4.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (+ 0 0) into 0
4.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.698 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
4.698 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.698 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.698 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.698 * [taylor]: Taking taylor expansion of x in x
4.698 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify 1 into 1
4.698 * [backup-simplify]: Simplify (/ 1 1) into 1
4.698 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.698 * [taylor]: Taking taylor expansion of x in x
4.698 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify 1 into 1
4.698 * [backup-simplify]: Simplify (/ 1 1) into 1
4.699 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.699 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.699 * [taylor]: Taking taylor expansion of y in x
4.699 * [backup-simplify]: Simplify y into y
4.699 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.699 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.699 * [backup-simplify]: Simplify (* 1 1) into 1
4.699 * [backup-simplify]: Simplify (+ 1 0) into 1
4.699 * [backup-simplify]: Simplify (sqrt 1) into 1
4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.701 * [backup-simplify]: Simplify (+ 0 0) into 0
4.701 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.701 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
4.701 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.702 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.702 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.702 * [taylor]: Taking taylor expansion of x in x
4.702 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify 1 into 1
4.702 * [backup-simplify]: Simplify (/ 1 1) into 1
4.702 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.702 * [taylor]: Taking taylor expansion of x in x
4.702 * [backup-simplify]: Simplify 0 into 0
4.702 * [backup-simplify]: Simplify 1 into 1
4.702 * [backup-simplify]: Simplify (/ 1 1) into 1
4.702 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.702 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.702 * [taylor]: Taking taylor expansion of y in x
4.702 * [backup-simplify]: Simplify y into y
4.702 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.702 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.703 * [backup-simplify]: Simplify (* 1 1) into 1
4.703 * [backup-simplify]: Simplify (+ 1 0) into 1
4.703 * [backup-simplify]: Simplify (sqrt 1) into 1
4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.705 * [backup-simplify]: Simplify (+ 0 0) into 0
4.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.706 * [taylor]: Taking taylor expansion of 1 in y
4.706 * [backup-simplify]: Simplify 1 into 1
4.706 * [taylor]: Taking taylor expansion of 0 in y
4.706 * [backup-simplify]: Simplify 0 into 0
4.706 * [backup-simplify]: Simplify 1 into 1
4.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.709 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.710 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.710 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.710 * [taylor]: Taking taylor expansion of 1/2 in y
4.710 * [backup-simplify]: Simplify 1/2 into 1/2
4.710 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.710 * [taylor]: Taking taylor expansion of y in y
4.710 * [backup-simplify]: Simplify 0 into 0
4.710 * [backup-simplify]: Simplify 1 into 1
4.711 * [backup-simplify]: Simplify (* 1 1) into 1
4.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.713 * [backup-simplify]: Simplify 0 into 0
4.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.717 * [backup-simplify]: Simplify (+ 0 0) into 0
4.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.717 * [taylor]: Taking taylor expansion of 0 in y
4.717 * [backup-simplify]: Simplify 0 into 0
4.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 0 into 0
4.720 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.720 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
4.720 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in (x y) around 0
4.720 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
4.720 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
4.721 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.721 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.721 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.721 * [taylor]: Taking taylor expansion of -1 in y
4.721 * [backup-simplify]: Simplify -1 into -1
4.721 * [taylor]: Taking taylor expansion of x in y
4.721 * [backup-simplify]: Simplify x into x
4.721 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.721 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.721 * [taylor]: Taking taylor expansion of -1 in y
4.721 * [backup-simplify]: Simplify -1 into -1
4.721 * [taylor]: Taking taylor expansion of x in y
4.721 * [backup-simplify]: Simplify x into x
4.721 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.721 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.721 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.721 * [taylor]: Taking taylor expansion of y in y
4.721 * [backup-simplify]: Simplify 0 into 0
4.721 * [backup-simplify]: Simplify 1 into 1
4.722 * [backup-simplify]: Simplify (* 1 1) into 1
4.722 * [backup-simplify]: Simplify (/ 1 1) into 1
4.722 * [backup-simplify]: Simplify (+ 0 1) into 1
4.723 * [backup-simplify]: Simplify (sqrt 1) into 1
4.723 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.725 * [backup-simplify]: Simplify (+ 0 0) into 0
4.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.725 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
4.725 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.726 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.726 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.726 * [taylor]: Taking taylor expansion of -1 in x
4.726 * [backup-simplify]: Simplify -1 into -1
4.726 * [taylor]: Taking taylor expansion of x in x
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify 1 into 1
4.726 * [backup-simplify]: Simplify (/ -1 1) into -1
4.726 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.726 * [taylor]: Taking taylor expansion of -1 in x
4.726 * [backup-simplify]: Simplify -1 into -1
4.726 * [taylor]: Taking taylor expansion of x in x
4.726 * [backup-simplify]: Simplify 0 into 0
4.726 * [backup-simplify]: Simplify 1 into 1
4.727 * [backup-simplify]: Simplify (/ -1 1) into -1
4.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.727 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.727 * [taylor]: Taking taylor expansion of y in x
4.727 * [backup-simplify]: Simplify y into y
4.727 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.727 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.728 * [backup-simplify]: Simplify (* -1 -1) into 1
4.728 * [backup-simplify]: Simplify (+ 1 0) into 1
4.729 * [backup-simplify]: Simplify (sqrt 1) into 1
4.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.731 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.731 * [backup-simplify]: Simplify (+ 0 0) into 0
4.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.732 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
4.732 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.732 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.732 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.732 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.732 * [taylor]: Taking taylor expansion of -1 in x
4.733 * [backup-simplify]: Simplify -1 into -1
4.733 * [taylor]: Taking taylor expansion of x in x
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 1 into 1
4.733 * [backup-simplify]: Simplify (/ -1 1) into -1
4.733 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.733 * [taylor]: Taking taylor expansion of -1 in x
4.733 * [backup-simplify]: Simplify -1 into -1
4.733 * [taylor]: Taking taylor expansion of x in x
4.733 * [backup-simplify]: Simplify 0 into 0
4.733 * [backup-simplify]: Simplify 1 into 1
4.734 * [backup-simplify]: Simplify (/ -1 1) into -1
4.734 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.734 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.734 * [taylor]: Taking taylor expansion of y in x
4.734 * [backup-simplify]: Simplify y into y
4.734 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.734 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.734 * [backup-simplify]: Simplify (* -1 -1) into 1
4.735 * [backup-simplify]: Simplify (+ 1 0) into 1
4.735 * [backup-simplify]: Simplify (sqrt 1) into 1
4.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.737 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.738 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.738 * [backup-simplify]: Simplify (+ 0 0) into 0
4.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.739 * [taylor]: Taking taylor expansion of 1 in y
4.739 * [backup-simplify]: Simplify 1 into 1
4.739 * [taylor]: Taking taylor expansion of 0 in y
4.739 * [backup-simplify]: Simplify 0 into 0
4.739 * [backup-simplify]: Simplify 1 into 1
4.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.743 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.743 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.744 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.744 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.744 * [taylor]: Taking taylor expansion of 1/2 in y
4.744 * [backup-simplify]: Simplify 1/2 into 1/2
4.744 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.744 * [taylor]: Taking taylor expansion of y in y
4.744 * [backup-simplify]: Simplify 0 into 0
4.745 * [backup-simplify]: Simplify 1 into 1
4.745 * [backup-simplify]: Simplify (* 1 1) into 1
4.745 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.747 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify 0 into 0
4.747 * [backup-simplify]: Simplify 0 into 0
4.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.750 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.751 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.751 * [backup-simplify]: Simplify (+ 0 0) into 0
4.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.752 * [taylor]: Taking taylor expansion of 0 in y
4.752 * [backup-simplify]: Simplify 0 into 0
4.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify 0 into 0
4.754 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.754 * * * * [progress]: [ 2 / 3 ] generating series at (2)
4.755 * [backup-simplify]: Simplify (hypot z (sqrt (fma x x (* y y)))) into (hypot z (sqrt (fma x x (pow y 2))))
4.755 * [approximate]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in (z x y) around 0
4.755 * [taylor]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in y
4.755 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))))
4.755 * [taylor]: Taking taylor expansion of (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))) in y
4.755 * [taylor]: Taking taylor expansion of (* z z) in y
4.755 * [taylor]: Taking taylor expansion of z in y
4.755 * [backup-simplify]: Simplify z into z
4.755 * [taylor]: Taking taylor expansion of z in y
4.755 * [backup-simplify]: Simplify z into z
4.755 * [taylor]: Taking taylor expansion of (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2)))) in y
4.755 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in y
4.755 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
4.755 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.755 * [taylor]: Taking taylor expansion of (* x x) in y
4.755 * [taylor]: Taking taylor expansion of x in y
4.755 * [backup-simplify]: Simplify x into x
4.755 * [taylor]: Taking taylor expansion of x in y
4.755 * [backup-simplify]: Simplify x into x
4.755 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.756 * [taylor]: Taking taylor expansion of y in y
4.756 * [backup-simplify]: Simplify 0 into 0
4.756 * [backup-simplify]: Simplify 1 into 1
4.756 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.756 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.756 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.756 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.756 * [backup-simplify]: Simplify (+ 0 0) into 0
4.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.757 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in y
4.757 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
4.757 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.757 * [taylor]: Taking taylor expansion of (* x x) in y
4.757 * [taylor]: Taking taylor expansion of x in y
4.757 * [backup-simplify]: Simplify x into x
4.757 * [taylor]: Taking taylor expansion of x in y
4.757 * [backup-simplify]: Simplify x into x
4.757 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.757 * [taylor]: Taking taylor expansion of y in y
4.757 * [backup-simplify]: Simplify 0 into 0
4.757 * [backup-simplify]: Simplify 1 into 1
4.757 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.757 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.758 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.758 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.758 * [backup-simplify]: Simplify (+ 0 0) into 0
4.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.758 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.758 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.759 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
4.759 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
4.759 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.759 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.759 * [backup-simplify]: Simplify (+ 0 0) into 0
4.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
4.760 * [taylor]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in x
4.760 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))))
4.760 * [taylor]: Taking taylor expansion of (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))) in x
4.760 * [taylor]: Taking taylor expansion of (* z z) in x
4.760 * [taylor]: Taking taylor expansion of z in x
4.760 * [backup-simplify]: Simplify z into z
4.760 * [taylor]: Taking taylor expansion of z in x
4.760 * [backup-simplify]: Simplify z into z
4.760 * [taylor]: Taking taylor expansion of (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2)))) in x
4.760 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x
4.760 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
4.760 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.760 * [taylor]: Taking taylor expansion of (* x x) in x
4.760 * [taylor]: Taking taylor expansion of x in x
4.761 * [backup-simplify]: Simplify 0 into 0
4.761 * [backup-simplify]: Simplify 1 into 1
4.761 * [taylor]: Taking taylor expansion of x in x
4.761 * [backup-simplify]: Simplify 0 into 0
4.761 * [backup-simplify]: Simplify 1 into 1
4.761 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.761 * [taylor]: Taking taylor expansion of y in x
4.761 * [backup-simplify]: Simplify y into y
4.761 * [backup-simplify]: Simplify (* 0 0) into 0
4.761 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.761 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.762 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.762 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.762 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.763 * [backup-simplify]: Simplify (+ 0 0) into 0
4.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.763 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x
4.763 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
4.763 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.763 * [taylor]: Taking taylor expansion of (* x x) in x
4.763 * [taylor]: Taking taylor expansion of x in x
4.763 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify 1 into 1
4.763 * [taylor]: Taking taylor expansion of x in x
4.763 * [backup-simplify]: Simplify 0 into 0
4.763 * [backup-simplify]: Simplify 1 into 1
4.763 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.763 * [taylor]: Taking taylor expansion of y in x
4.763 * [backup-simplify]: Simplify y into y
4.764 * [backup-simplify]: Simplify (* 0 0) into 0
4.764 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.764 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.764 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.765 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.765 * [backup-simplify]: Simplify (+ 0 0) into 0
4.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.766 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.766 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.766 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
4.766 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
4.766 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.766 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.767 * [backup-simplify]: Simplify (+ 0 0) into 0
4.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
4.767 * [taylor]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in z
4.767 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))))
4.767 * [taylor]: Taking taylor expansion of (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))) in z
4.767 * [taylor]: Taking taylor expansion of (* z z) in z
4.767 * [taylor]: Taking taylor expansion of z in z
4.767 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify 1 into 1
4.768 * [taylor]: Taking taylor expansion of z in z
4.768 * [backup-simplify]: Simplify 0 into 0
4.768 * [backup-simplify]: Simplify 1 into 1
4.768 * [taylor]: Taking taylor expansion of (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2)))) in z
4.768 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in z
4.768 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
4.768 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.768 * [taylor]: Taking taylor expansion of (* x x) in z
4.768 * [taylor]: Taking taylor expansion of x in z
4.768 * [backup-simplify]: Simplify x into x
4.768 * [taylor]: Taking taylor expansion of x in z
4.768 * [backup-simplify]: Simplify x into x
4.768 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.768 * [taylor]: Taking taylor expansion of y in z
4.768 * [backup-simplify]: Simplify y into y
4.768 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.768 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.768 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.769 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.769 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.769 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.769 * [backup-simplify]: Simplify (+ 0 0) into 0
4.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.770 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in z
4.770 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
4.770 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.770 * [taylor]: Taking taylor expansion of (* x x) in z
4.770 * [taylor]: Taking taylor expansion of x in z
4.770 * [backup-simplify]: Simplify x into x
4.770 * [taylor]: Taking taylor expansion of x in z
4.770 * [backup-simplify]: Simplify x into x
4.770 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.770 * [taylor]: Taking taylor expansion of y in z
4.770 * [backup-simplify]: Simplify y into y
4.770 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.770 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.770 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.771 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.771 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.771 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.771 * [backup-simplify]: Simplify (+ 0 0) into 0
4.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.772 * [backup-simplify]: Simplify (* 0 0) into 0
4.773 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
4.773 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
4.773 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.774 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.774 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.775 * [backup-simplify]: Simplify (+ 0 0) into 0
4.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.775 * [taylor]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in z
4.775 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))))
4.775 * [taylor]: Taking taylor expansion of (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))) in z
4.775 * [taylor]: Taking taylor expansion of (* z z) in z
4.775 * [taylor]: Taking taylor expansion of z in z
4.775 * [backup-simplify]: Simplify 0 into 0
4.775 * [backup-simplify]: Simplify 1 into 1
4.775 * [taylor]: Taking taylor expansion of z in z
4.775 * [backup-simplify]: Simplify 0 into 0
4.776 * [backup-simplify]: Simplify 1 into 1
4.776 * [taylor]: Taking taylor expansion of (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2)))) in z
4.776 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in z
4.776 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
4.776 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.776 * [taylor]: Taking taylor expansion of (* x x) in z
4.776 * [taylor]: Taking taylor expansion of x in z
4.776 * [backup-simplify]: Simplify x into x
4.776 * [taylor]: Taking taylor expansion of x in z
4.776 * [backup-simplify]: Simplify x into x
4.776 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.776 * [taylor]: Taking taylor expansion of y in z
4.776 * [backup-simplify]: Simplify y into y
4.776 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.776 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.776 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.777 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.777 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.777 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.777 * [backup-simplify]: Simplify (+ 0 0) into 0
4.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.778 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in z
4.778 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
4.778 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.778 * [taylor]: Taking taylor expansion of (* x x) in z
4.778 * [taylor]: Taking taylor expansion of x in z
4.778 * [backup-simplify]: Simplify x into x
4.778 * [taylor]: Taking taylor expansion of x in z
4.778 * [backup-simplify]: Simplify x into x
4.778 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.778 * [taylor]: Taking taylor expansion of y in z
4.778 * [backup-simplify]: Simplify y into y
4.778 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.778 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.778 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.779 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.779 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.779 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.779 * [backup-simplify]: Simplify (+ 0 0) into 0
4.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.780 * [backup-simplify]: Simplify (* 0 0) into 0
4.781 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
4.781 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
4.781 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.782 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.783 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.783 * [backup-simplify]: Simplify (+ 0 0) into 0
4.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
4.783 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.784 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.784 * [taylor]: Taking taylor expansion of x in x
4.784 * [backup-simplify]: Simplify 0 into 0
4.784 * [backup-simplify]: Simplify 1 into 1
4.784 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.784 * [taylor]: Taking taylor expansion of y in x
4.784 * [backup-simplify]: Simplify y into y
4.784 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.784 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.784 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.784 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.785 * [backup-simplify]: Simplify (+ 0 0) into 0
4.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.785 * [taylor]: Taking taylor expansion of y in y
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [taylor]: Taking taylor expansion of 0 in x
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [taylor]: Taking taylor expansion of 0 in y
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [taylor]: Taking taylor expansion of 0 in y
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 0 into 0
4.785 * [backup-simplify]: Simplify 1 into 1
4.786 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.787 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.787 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.787 * [backup-simplify]: Simplify (+ 0 0) into 0
4.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.789 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.789 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.790 * [backup-simplify]: Simplify (+ 0 0) into 0
4.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.792 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow x 2) (pow y 2)))))) into 0
4.792 * [backup-simplify]: Simplify (+ 1 0) into 1
4.793 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
4.794 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
4.794 * [taylor]: Taking taylor expansion of 1/2 in x
4.794 * [backup-simplify]: Simplify 1/2 into 1/2
4.794 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
4.794 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
4.794 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.794 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.794 * [taylor]: Taking taylor expansion of x in x
4.794 * [backup-simplify]: Simplify 0 into 0
4.794 * [backup-simplify]: Simplify 1 into 1
4.794 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.794 * [taylor]: Taking taylor expansion of y in x
4.794 * [backup-simplify]: Simplify y into y
4.794 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.794 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.794 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.795 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
4.795 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.795 * [backup-simplify]: Simplify (+ 0 0) into 0
4.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
4.796 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
4.796 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.796 * [taylor]: Taking taylor expansion of 1/2 in y
4.796 * [backup-simplify]: Simplify 1/2 into 1/2
4.796 * [taylor]: Taking taylor expansion of y in y
4.796 * [backup-simplify]: Simplify 0 into 0
4.796 * [backup-simplify]: Simplify 1 into 1
4.796 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.797 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.797 * [backup-simplify]: Simplify 0 into 0
4.797 * [taylor]: Taking taylor expansion of 0 in y
4.797 * [backup-simplify]: Simplify 0 into 0
4.797 * [backup-simplify]: Simplify 0 into 0
4.798 * [backup-simplify]: Simplify (* 1 1) into 1
4.798 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.799 * [backup-simplify]: Simplify (+ 1 0) into 1
4.799 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.800 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.800 * [taylor]: Taking taylor expansion of 1/2 in y
4.800 * [backup-simplify]: Simplify 1/2 into 1/2
4.800 * [taylor]: Taking taylor expansion of y in y
4.800 * [backup-simplify]: Simplify 0 into 0
4.800 * [backup-simplify]: Simplify 1 into 1
4.800 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.801 * [backup-simplify]: Simplify 0 into 0
4.801 * [backup-simplify]: Simplify 0 into 0
4.801 * [backup-simplify]: Simplify 0 into 0
4.801 * [backup-simplify]: Simplify 0 into 0
4.802 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
4.802 * [backup-simplify]: Simplify (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))))) into (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))
4.802 * [approximate]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in (z x y) around 0
4.802 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
4.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))))
4.802 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in y
4.802 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
4.802 * [taylor]: Taking taylor expansion of (/ 1 z) in y
4.803 * [taylor]: Taking taylor expansion of z in y
4.803 * [backup-simplify]: Simplify z into z
4.803 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
4.803 * [taylor]: Taking taylor expansion of (/ 1 z) in y
4.803 * [taylor]: Taking taylor expansion of z in y
4.803 * [backup-simplify]: Simplify z into z
4.803 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
4.803 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
4.803 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
4.803 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
4.803 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.803 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.803 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.803 * [taylor]: Taking taylor expansion of x in y
4.803 * [backup-simplify]: Simplify x into x
4.803 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.803 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.803 * [taylor]: Taking taylor expansion of x in y
4.803 * [backup-simplify]: Simplify x into x
4.804 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.804 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.804 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.804 * [taylor]: Taking taylor expansion of y in y
4.804 * [backup-simplify]: Simplify 0 into 0
4.804 * [backup-simplify]: Simplify 1 into 1
4.814 * [backup-simplify]: Simplify (* 1 1) into 1
4.814 * [backup-simplify]: Simplify (/ 1 1) into 1
4.815 * [backup-simplify]: Simplify (+ 0 1) into 1
4.815 * [backup-simplify]: Simplify (sqrt 1) into 1
4.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.817 * [backup-simplify]: Simplify (+ 0 0) into 0
4.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.818 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
4.818 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
4.819 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.819 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.819 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.819 * [taylor]: Taking taylor expansion of x in y
4.819 * [backup-simplify]: Simplify x into x
4.819 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.819 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.819 * [taylor]: Taking taylor expansion of x in y
4.819 * [backup-simplify]: Simplify x into x
4.819 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.819 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.819 * [taylor]: Taking taylor expansion of y in y
4.819 * [backup-simplify]: Simplify 0 into 0
4.819 * [backup-simplify]: Simplify 1 into 1
4.820 * [backup-simplify]: Simplify (* 1 1) into 1
4.820 * [backup-simplify]: Simplify (/ 1 1) into 1
4.821 * [backup-simplify]: Simplify (+ 0 1) into 1
4.821 * [backup-simplify]: Simplify (sqrt 1) into 1
4.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.823 * [backup-simplify]: Simplify (+ 0 0) into 0
4.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.824 * [backup-simplify]: Simplify (* 1 1) into 1
4.825 * [backup-simplify]: Simplify (+ 0 1) into 1
4.825 * [backup-simplify]: Simplify (sqrt 1) into 1
4.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.826 * [backup-simplify]: Simplify (+ 0 0) into 0
4.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.826 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
4.826 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))))
4.826 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in x
4.826 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
4.826 * [taylor]: Taking taylor expansion of (/ 1 z) in x
4.826 * [taylor]: Taking taylor expansion of z in x
4.826 * [backup-simplify]: Simplify z into z
4.826 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
4.826 * [taylor]: Taking taylor expansion of (/ 1 z) in x
4.826 * [taylor]: Taking taylor expansion of z in x
4.826 * [backup-simplify]: Simplify z into z
4.826 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
4.826 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
4.826 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
4.826 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.827 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.827 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.827 * [taylor]: Taking taylor expansion of x in x
4.827 * [backup-simplify]: Simplify 0 into 0
4.827 * [backup-simplify]: Simplify 1 into 1
4.827 * [backup-simplify]: Simplify (/ 1 1) into 1
4.827 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.827 * [taylor]: Taking taylor expansion of x in x
4.827 * [backup-simplify]: Simplify 0 into 0
4.827 * [backup-simplify]: Simplify 1 into 1
4.827 * [backup-simplify]: Simplify (/ 1 1) into 1
4.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.827 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.827 * [taylor]: Taking taylor expansion of y in x
4.827 * [backup-simplify]: Simplify y into y
4.827 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.828 * [backup-simplify]: Simplify (* 1 1) into 1
4.828 * [backup-simplify]: Simplify (+ 1 0) into 1
4.828 * [backup-simplify]: Simplify (sqrt 1) into 1
4.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.830 * [backup-simplify]: Simplify (+ 0 0) into 0
4.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.830 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
4.830 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.830 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.830 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.830 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.830 * [taylor]: Taking taylor expansion of x in x
4.830 * [backup-simplify]: Simplify 0 into 0
4.830 * [backup-simplify]: Simplify 1 into 1
4.831 * [backup-simplify]: Simplify (/ 1 1) into 1
4.831 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.831 * [taylor]: Taking taylor expansion of x in x
4.831 * [backup-simplify]: Simplify 0 into 0
4.831 * [backup-simplify]: Simplify 1 into 1
4.831 * [backup-simplify]: Simplify (/ 1 1) into 1
4.831 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.831 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.831 * [taylor]: Taking taylor expansion of y in x
4.831 * [backup-simplify]: Simplify y into y
4.831 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.831 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.832 * [backup-simplify]: Simplify (* 1 1) into 1
4.832 * [backup-simplify]: Simplify (+ 1 0) into 1
4.832 * [backup-simplify]: Simplify (sqrt 1) into 1
4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.834 * [backup-simplify]: Simplify (+ 0 0) into 0
4.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.834 * [backup-simplify]: Simplify (* 1 1) into 1
4.835 * [backup-simplify]: Simplify (+ 0 1) into 1
4.835 * [backup-simplify]: Simplify (sqrt 1) into 1
4.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.835 * [backup-simplify]: Simplify (+ 0 0) into 0
4.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.836 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
4.836 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))))
4.836 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in z
4.836 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
4.836 * [taylor]: Taking taylor expansion of (/ 1 z) in z
4.836 * [taylor]: Taking taylor expansion of z in z
4.836 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify 1 into 1
4.836 * [backup-simplify]: Simplify (/ 1 1) into 1
4.836 * [taylor]: Taking taylor expansion of (/ 1 z) in z
4.836 * [taylor]: Taking taylor expansion of z in z
4.836 * [backup-simplify]: Simplify 0 into 0
4.836 * [backup-simplify]: Simplify 1 into 1
4.837 * [backup-simplify]: Simplify (/ 1 1) into 1
4.837 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
4.837 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
4.837 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
4.837 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.837 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
4.837 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.837 * [taylor]: Taking taylor expansion of x in z
4.837 * [backup-simplify]: Simplify x into x
4.837 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.837 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.837 * [taylor]: Taking taylor expansion of x in z
4.837 * [backup-simplify]: Simplify x into x
4.837 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.837 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.837 * [taylor]: Taking taylor expansion of y in z
4.837 * [backup-simplify]: Simplify y into y
4.837 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.837 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.837 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.838 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.838 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.838 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.838 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.838 * [backup-simplify]: Simplify (+ 0 0) into 0
4.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.839 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
4.839 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
4.839 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.839 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
4.839 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.839 * [taylor]: Taking taylor expansion of x in z
4.839 * [backup-simplify]: Simplify x into x
4.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.839 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.839 * [taylor]: Taking taylor expansion of x in z
4.839 * [backup-simplify]: Simplify x into x
4.839 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.839 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.839 * [taylor]: Taking taylor expansion of y in z
4.839 * [backup-simplify]: Simplify y into y
4.839 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.839 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.839 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.839 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.840 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.840 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.840 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.841 * [backup-simplify]: Simplify (+ 0 0) into 0
4.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.841 * [backup-simplify]: Simplify (* 1 1) into 1
4.841 * [backup-simplify]: Simplify (+ 1 0) into 1
4.842 * [backup-simplify]: Simplify (sqrt 1) into 1
4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.843 * [backup-simplify]: Simplify (+ 0 0) into 0
4.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.843 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
4.844 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))))
4.844 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in z
4.844 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
4.844 * [taylor]: Taking taylor expansion of (/ 1 z) in z
4.844 * [taylor]: Taking taylor expansion of z in z
4.844 * [backup-simplify]: Simplify 0 into 0
4.844 * [backup-simplify]: Simplify 1 into 1
4.844 * [backup-simplify]: Simplify (/ 1 1) into 1
4.844 * [taylor]: Taking taylor expansion of (/ 1 z) in z
4.844 * [taylor]: Taking taylor expansion of z in z
4.844 * [backup-simplify]: Simplify 0 into 0
4.844 * [backup-simplify]: Simplify 1 into 1
4.844 * [backup-simplify]: Simplify (/ 1 1) into 1
4.844 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
4.844 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
4.844 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
4.844 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.844 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
4.844 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.845 * [taylor]: Taking taylor expansion of x in z
4.845 * [backup-simplify]: Simplify x into x
4.845 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.845 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.845 * [taylor]: Taking taylor expansion of x in z
4.845 * [backup-simplify]: Simplify x into x
4.845 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.845 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.845 * [taylor]: Taking taylor expansion of y in z
4.845 * [backup-simplify]: Simplify y into y
4.845 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.845 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.845 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.845 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.845 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.846 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.846 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.846 * [backup-simplify]: Simplify (+ 0 0) into 0
4.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.846 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
4.846 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
4.846 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.846 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
4.846 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.846 * [taylor]: Taking taylor expansion of x in z
4.846 * [backup-simplify]: Simplify x into x
4.846 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.846 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.846 * [taylor]: Taking taylor expansion of x in z
4.847 * [backup-simplify]: Simplify x into x
4.847 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.847 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.847 * [taylor]: Taking taylor expansion of y in z
4.847 * [backup-simplify]: Simplify y into y
4.847 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.847 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.847 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.847 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.847 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.847 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.847 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.848 * [backup-simplify]: Simplify (+ 0 0) into 0
4.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.848 * [backup-simplify]: Simplify (* 1 1) into 1
4.849 * [backup-simplify]: Simplify (+ 1 0) into 1
4.849 * [backup-simplify]: Simplify (sqrt 1) into 1
4.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.850 * [backup-simplify]: Simplify (+ 0 0) into 0
4.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.851 * [taylor]: Taking taylor expansion of 1 in x
4.851 * [backup-simplify]: Simplify 1 into 1
4.851 * [taylor]: Taking taylor expansion of 0 in x
4.851 * [backup-simplify]: Simplify 0 into 0
4.851 * [taylor]: Taking taylor expansion of 1 in y
4.851 * [backup-simplify]: Simplify 1 into 1
4.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.853 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.853 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.854 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.854 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.854 * [taylor]: Taking taylor expansion of 1/2 in x
4.854 * [backup-simplify]: Simplify 1/2 into 1/2
4.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.854 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.854 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.854 * [taylor]: Taking taylor expansion of x in x
4.854 * [backup-simplify]: Simplify 0 into 0
4.854 * [backup-simplify]: Simplify 1 into 1
4.854 * [backup-simplify]: Simplify (* 1 1) into 1
4.855 * [backup-simplify]: Simplify (/ 1 1) into 1
4.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.855 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.855 * [taylor]: Taking taylor expansion of y in x
4.855 * [backup-simplify]: Simplify y into y
4.855 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.855 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.856 * [backup-simplify]: Simplify (+ 0 0) into 0
4.856 * [backup-simplify]: Simplify (+ 1 0) into 1
4.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.857 * [taylor]: Taking taylor expansion of 0 in y
4.857 * [backup-simplify]: Simplify 0 into 0
4.857 * [taylor]: Taking taylor expansion of 0 in y
4.857 * [backup-simplify]: Simplify 0 into 0
4.857 * [taylor]: Taking taylor expansion of 0 in y
4.857 * [backup-simplify]: Simplify 0 into 0
4.857 * [backup-simplify]: Simplify 1 into 1
4.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.860 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.861 * [backup-simplify]: Simplify (+ 0 0) into 0
4.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
4.862 * [taylor]: Taking taylor expansion of 0 in x
4.862 * [backup-simplify]: Simplify 0 into 0
4.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.864 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.864 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
4.864 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
4.864 * [taylor]: Taking taylor expansion of 1/2 in y
4.864 * [backup-simplify]: Simplify 1/2 into 1/2
4.864 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.865 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.865 * [taylor]: Taking taylor expansion of y in y
4.865 * [backup-simplify]: Simplify 0 into 0
4.865 * [backup-simplify]: Simplify 1 into 1
4.865 * [backup-simplify]: Simplify (* 1 1) into 1
4.865 * [backup-simplify]: Simplify (/ 1 1) into 1
4.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.867 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.867 * [backup-simplify]: Simplify 0 into 0
4.867 * [taylor]: Taking taylor expansion of 0 in y
4.867 * [backup-simplify]: Simplify 0 into 0
4.867 * [taylor]: Taking taylor expansion of 0 in y
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.868 * [backup-simplify]: Simplify 0 into 0
4.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.872 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.872 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.873 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.873 * [backup-simplify]: Simplify (+ 0 0) into 0
4.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.874 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.875 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.875 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.876 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.876 * [backup-simplify]: Simplify (+ 0 0) into 0
4.877 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.878 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) into 0
4.879 * [backup-simplify]: Simplify (+ 0 0) into 0
4.880 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
4.880 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
4.880 * [taylor]: Taking taylor expansion of -1/2 in x
4.880 * [backup-simplify]: Simplify -1/2 into -1/2
4.881 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
4.881 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
4.881 * [taylor]: Taking taylor expansion of 1/2 in x
4.881 * [backup-simplify]: Simplify 1/2 into 1/2
4.881 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
4.881 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
4.881 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.881 * [taylor]: Taking taylor expansion of x in x
4.881 * [backup-simplify]: Simplify 0 into 0
4.881 * [backup-simplify]: Simplify 1 into 1
4.881 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.881 * [taylor]: Taking taylor expansion of y in x
4.881 * [backup-simplify]: Simplify y into y
4.881 * [backup-simplify]: Simplify (* 1 1) into 1
4.881 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.882 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
4.882 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.882 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
4.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
4.882 * [taylor]: Taking taylor expansion of 1/4 in x
4.882 * [backup-simplify]: Simplify 1/4 into 1/4
4.882 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
4.882 * [taylor]: Taking taylor expansion of (pow x 4) in x
4.882 * [taylor]: Taking taylor expansion of x in x
4.882 * [backup-simplify]: Simplify 0 into 0
4.882 * [backup-simplify]: Simplify 1 into 1
4.882 * [backup-simplify]: Simplify (* 1 1) into 1
4.883 * [backup-simplify]: Simplify (* 1 1) into 1
4.883 * [backup-simplify]: Simplify (/ 1 1) into 1
4.883 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
4.883 * [taylor]: Taking taylor expansion of 1/4 in x
4.883 * [backup-simplify]: Simplify 1/4 into 1/4
4.883 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
4.883 * [taylor]: Taking taylor expansion of (pow y 4) in x
4.883 * [taylor]: Taking taylor expansion of y in x
4.883 * [backup-simplify]: Simplify y into y
4.883 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.884 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
4.884 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
4.884 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
4.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.886 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
4.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.896 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.896 * [backup-simplify]: Simplify (+ 0 0) into 0
4.897 * [backup-simplify]: Simplify (+ 0 0) into 0
4.897 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
4.898 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
4.898 * [backup-simplify]: Simplify (+ 0 0) into 0
4.898 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
4.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
4.899 * [backup-simplify]: Simplify (+ 0 0) into 0
4.900 * [backup-simplify]: Simplify (+ 0 0) into 0
4.900 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
4.901 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
4.901 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
4.902 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
4.902 * [taylor]: Taking taylor expansion of 0 in y
4.903 * [backup-simplify]: Simplify 0 into 0
4.903 * [taylor]: Taking taylor expansion of 0 in y
4.903 * [backup-simplify]: Simplify 0 into 0
4.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.905 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.906 * [backup-simplify]: Simplify (+ 0 0) into 0
4.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
4.907 * [taylor]: Taking taylor expansion of 0 in y
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [taylor]: Taking taylor expansion of 0 in y
4.907 * [backup-simplify]: Simplify 0 into 0
4.907 * [taylor]: Taking taylor expansion of 0 in y
4.907 * [backup-simplify]: Simplify 0 into 0
4.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.910 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.910 * [backup-simplify]: Simplify 0 into 0
4.910 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
4.911 * [backup-simplify]: Simplify (hypot (/ 1 (- z)) (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))))) into (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))
4.911 * [approximate]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in (z x y) around 0
4.911 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
4.911 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))))
4.911 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in y
4.911 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
4.911 * [taylor]: Taking taylor expansion of (/ -1 z) in y
4.911 * [taylor]: Taking taylor expansion of -1 in y
4.911 * [backup-simplify]: Simplify -1 into -1
4.911 * [taylor]: Taking taylor expansion of z in y
4.911 * [backup-simplify]: Simplify z into z
4.911 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
4.911 * [taylor]: Taking taylor expansion of (/ -1 z) in y
4.911 * [taylor]: Taking taylor expansion of -1 in y
4.911 * [backup-simplify]: Simplify -1 into -1
4.911 * [taylor]: Taking taylor expansion of z in y
4.911 * [backup-simplify]: Simplify z into z
4.911 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
4.911 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
4.912 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
4.912 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
4.912 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.912 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.912 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.912 * [taylor]: Taking taylor expansion of -1 in y
4.912 * [backup-simplify]: Simplify -1 into -1
4.912 * [taylor]: Taking taylor expansion of x in y
4.912 * [backup-simplify]: Simplify x into x
4.912 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.912 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.912 * [taylor]: Taking taylor expansion of -1 in y
4.912 * [backup-simplify]: Simplify -1 into -1
4.912 * [taylor]: Taking taylor expansion of x in y
4.912 * [backup-simplify]: Simplify x into x
4.912 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.912 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.912 * [taylor]: Taking taylor expansion of y in y
4.912 * [backup-simplify]: Simplify 0 into 0
4.912 * [backup-simplify]: Simplify 1 into 1
4.913 * [backup-simplify]: Simplify (* 1 1) into 1
4.913 * [backup-simplify]: Simplify (/ 1 1) into 1
4.914 * [backup-simplify]: Simplify (+ 0 1) into 1
4.914 * [backup-simplify]: Simplify (sqrt 1) into 1
4.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.916 * [backup-simplify]: Simplify (+ 0 0) into 0
4.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.916 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
4.916 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
4.917 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.917 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.917 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.917 * [taylor]: Taking taylor expansion of -1 in y
4.917 * [backup-simplify]: Simplify -1 into -1
4.917 * [taylor]: Taking taylor expansion of x in y
4.917 * [backup-simplify]: Simplify x into x
4.917 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.917 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.917 * [taylor]: Taking taylor expansion of -1 in y
4.917 * [backup-simplify]: Simplify -1 into -1
4.917 * [taylor]: Taking taylor expansion of x in y
4.917 * [backup-simplify]: Simplify x into x
4.917 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.917 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.917 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.917 * [taylor]: Taking taylor expansion of y in y
4.917 * [backup-simplify]: Simplify 0 into 0
4.917 * [backup-simplify]: Simplify 1 into 1
4.918 * [backup-simplify]: Simplify (* 1 1) into 1
4.918 * [backup-simplify]: Simplify (/ 1 1) into 1
4.918 * [backup-simplify]: Simplify (+ 0 1) into 1
4.919 * [backup-simplify]: Simplify (sqrt 1) into 1
4.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.921 * [backup-simplify]: Simplify (+ 0 0) into 0
4.922 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.922 * [backup-simplify]: Simplify (* 1 1) into 1
4.922 * [backup-simplify]: Simplify (+ 0 1) into 1
4.923 * [backup-simplify]: Simplify (sqrt 1) into 1
4.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.924 * [backup-simplify]: Simplify (+ 0 0) into 0
4.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.925 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
4.925 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))))
4.925 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in x
4.925 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
4.925 * [taylor]: Taking taylor expansion of (/ -1 z) in x
4.925 * [taylor]: Taking taylor expansion of -1 in x
4.925 * [backup-simplify]: Simplify -1 into -1
4.925 * [taylor]: Taking taylor expansion of z in x
4.925 * [backup-simplify]: Simplify z into z
4.925 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
4.925 * [taylor]: Taking taylor expansion of (/ -1 z) in x
4.925 * [taylor]: Taking taylor expansion of -1 in x
4.925 * [backup-simplify]: Simplify -1 into -1
4.925 * [taylor]: Taking taylor expansion of z in x
4.925 * [backup-simplify]: Simplify z into z
4.925 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
4.925 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
4.925 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
4.926 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.926 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.926 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.926 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.926 * [taylor]: Taking taylor expansion of -1 in x
4.926 * [backup-simplify]: Simplify -1 into -1
4.926 * [taylor]: Taking taylor expansion of x in x
4.926 * [backup-simplify]: Simplify 0 into 0
4.926 * [backup-simplify]: Simplify 1 into 1
4.927 * [backup-simplify]: Simplify (/ -1 1) into -1
4.927 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.927 * [taylor]: Taking taylor expansion of -1 in x
4.927 * [backup-simplify]: Simplify -1 into -1
4.927 * [taylor]: Taking taylor expansion of x in x
4.927 * [backup-simplify]: Simplify 0 into 0
4.927 * [backup-simplify]: Simplify 1 into 1
4.927 * [backup-simplify]: Simplify (/ -1 1) into -1
4.927 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.927 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.927 * [taylor]: Taking taylor expansion of y in x
4.928 * [backup-simplify]: Simplify y into y
4.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.928 * [backup-simplify]: Simplify (* -1 -1) into 1
4.929 * [backup-simplify]: Simplify (+ 1 0) into 1
4.929 * [backup-simplify]: Simplify (sqrt 1) into 1
4.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.931 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.931 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.932 * [backup-simplify]: Simplify (+ 0 0) into 0
4.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.932 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
4.932 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.933 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.933 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.933 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.933 * [taylor]: Taking taylor expansion of -1 in x
4.933 * [backup-simplify]: Simplify -1 into -1
4.933 * [taylor]: Taking taylor expansion of x in x
4.933 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify 1 into 1
4.933 * [backup-simplify]: Simplify (/ -1 1) into -1
4.933 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.933 * [taylor]: Taking taylor expansion of -1 in x
4.933 * [backup-simplify]: Simplify -1 into -1
4.933 * [taylor]: Taking taylor expansion of x in x
4.933 * [backup-simplify]: Simplify 0 into 0
4.933 * [backup-simplify]: Simplify 1 into 1
4.934 * [backup-simplify]: Simplify (/ -1 1) into -1
4.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.934 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.934 * [taylor]: Taking taylor expansion of y in x
4.934 * [backup-simplify]: Simplify y into y
4.934 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.934 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.935 * [backup-simplify]: Simplify (* -1 -1) into 1
4.935 * [backup-simplify]: Simplify (+ 1 0) into 1
4.935 * [backup-simplify]: Simplify (sqrt 1) into 1
4.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.938 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.938 * [backup-simplify]: Simplify (+ 0 0) into 0
4.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.939 * [backup-simplify]: Simplify (* 1 1) into 1
4.939 * [backup-simplify]: Simplify (+ 0 1) into 1
4.940 * [backup-simplify]: Simplify (sqrt 1) into 1
4.940 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.941 * [backup-simplify]: Simplify (+ 0 0) into 0
4.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.942 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
4.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))))
4.942 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in z
4.942 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
4.942 * [taylor]: Taking taylor expansion of (/ -1 z) in z
4.942 * [taylor]: Taking taylor expansion of -1 in z
4.942 * [backup-simplify]: Simplify -1 into -1
4.942 * [taylor]: Taking taylor expansion of z in z
4.942 * [backup-simplify]: Simplify 0 into 0
4.942 * [backup-simplify]: Simplify 1 into 1
4.942 * [backup-simplify]: Simplify (/ -1 1) into -1
4.942 * [taylor]: Taking taylor expansion of (/ -1 z) in z
4.942 * [taylor]: Taking taylor expansion of -1 in z
4.942 * [backup-simplify]: Simplify -1 into -1
4.942 * [taylor]: Taking taylor expansion of z in z
4.943 * [backup-simplify]: Simplify 0 into 0
4.943 * [backup-simplify]: Simplify 1 into 1
4.943 * [backup-simplify]: Simplify (/ -1 1) into -1
4.943 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
4.943 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
4.943 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
4.943 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.943 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
4.943 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.943 * [taylor]: Taking taylor expansion of -1 in z
4.943 * [backup-simplify]: Simplify -1 into -1
4.943 * [taylor]: Taking taylor expansion of x in z
4.943 * [backup-simplify]: Simplify x into x
4.944 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.944 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.944 * [taylor]: Taking taylor expansion of -1 in z
4.944 * [backup-simplify]: Simplify -1 into -1
4.944 * [taylor]: Taking taylor expansion of x in z
4.944 * [backup-simplify]: Simplify x into x
4.944 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.944 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.944 * [taylor]: Taking taylor expansion of y in z
4.944 * [backup-simplify]: Simplify y into y
4.944 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.944 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.944 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.944 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.945 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.945 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.945 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.945 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.945 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.946 * [backup-simplify]: Simplify (+ 0 0) into 0
4.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.946 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
4.946 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
4.947 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.947 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
4.947 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.947 * [taylor]: Taking taylor expansion of -1 in z
4.947 * [backup-simplify]: Simplify -1 into -1
4.947 * [taylor]: Taking taylor expansion of x in z
4.947 * [backup-simplify]: Simplify x into x
4.947 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.947 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.947 * [taylor]: Taking taylor expansion of -1 in z
4.947 * [backup-simplify]: Simplify -1 into -1
4.947 * [taylor]: Taking taylor expansion of x in z
4.947 * [backup-simplify]: Simplify x into x
4.947 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.947 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.947 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.947 * [taylor]: Taking taylor expansion of y in z
4.947 * [backup-simplify]: Simplify y into y
4.947 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.947 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.947 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.948 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.948 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.948 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.948 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.948 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.956 * [backup-simplify]: Simplify (+ 0 0) into 0
4.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.958 * [backup-simplify]: Simplify (* -1 -1) into 1
4.958 * [backup-simplify]: Simplify (+ 1 0) into 1
4.959 * [backup-simplify]: Simplify (sqrt 1) into 1
4.959 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.961 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.961 * [backup-simplify]: Simplify (+ 0 0) into 0
4.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.962 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
4.962 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))))
4.962 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in z
4.962 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
4.962 * [taylor]: Taking taylor expansion of (/ -1 z) in z
4.962 * [taylor]: Taking taylor expansion of -1 in z
4.962 * [backup-simplify]: Simplify -1 into -1
4.962 * [taylor]: Taking taylor expansion of z in z
4.962 * [backup-simplify]: Simplify 0 into 0
4.962 * [backup-simplify]: Simplify 1 into 1
4.963 * [backup-simplify]: Simplify (/ -1 1) into -1
4.963 * [taylor]: Taking taylor expansion of (/ -1 z) in z
4.963 * [taylor]: Taking taylor expansion of -1 in z
4.963 * [backup-simplify]: Simplify -1 into -1
4.963 * [taylor]: Taking taylor expansion of z in z
4.963 * [backup-simplify]: Simplify 0 into 0
4.963 * [backup-simplify]: Simplify 1 into 1
4.963 * [backup-simplify]: Simplify (/ -1 1) into -1
4.963 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
4.963 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
4.964 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
4.964 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.964 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
4.964 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.964 * [taylor]: Taking taylor expansion of -1 in z
4.964 * [backup-simplify]: Simplify -1 into -1
4.964 * [taylor]: Taking taylor expansion of x in z
4.964 * [backup-simplify]: Simplify x into x
4.964 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.964 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.964 * [taylor]: Taking taylor expansion of -1 in z
4.964 * [backup-simplify]: Simplify -1 into -1
4.964 * [taylor]: Taking taylor expansion of x in z
4.964 * [backup-simplify]: Simplify x into x
4.964 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.964 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.964 * [taylor]: Taking taylor expansion of y in z
4.964 * [backup-simplify]: Simplify y into y
4.964 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.964 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.965 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.965 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.965 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.965 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.966 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.966 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.966 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.966 * [backup-simplify]: Simplify (+ 0 0) into 0
4.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.967 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
4.967 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
4.967 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.967 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
4.967 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.967 * [taylor]: Taking taylor expansion of -1 in z
4.967 * [backup-simplify]: Simplify -1 into -1
4.967 * [taylor]: Taking taylor expansion of x in z
4.967 * [backup-simplify]: Simplify x into x
4.967 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.967 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.967 * [taylor]: Taking taylor expansion of -1 in z
4.967 * [backup-simplify]: Simplify -1 into -1
4.967 * [taylor]: Taking taylor expansion of x in z
4.967 * [backup-simplify]: Simplify x into x
4.967 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.968 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.968 * [taylor]: Taking taylor expansion of y in z
4.968 * [backup-simplify]: Simplify y into y
4.968 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.968 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.968 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.968 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.968 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.969 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.969 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.969 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.969 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.969 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.970 * [backup-simplify]: Simplify (+ 0 0) into 0
4.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.971 * [backup-simplify]: Simplify (* -1 -1) into 1
4.971 * [backup-simplify]: Simplify (+ 1 0) into 1
4.972 * [backup-simplify]: Simplify (sqrt 1) into 1
4.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.974 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.974 * [backup-simplify]: Simplify (+ 0 0) into 0
4.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.975 * [taylor]: Taking taylor expansion of 1 in x
4.975 * [backup-simplify]: Simplify 1 into 1
4.975 * [taylor]: Taking taylor expansion of 0 in x
4.975 * [backup-simplify]: Simplify 0 into 0
4.975 * [taylor]: Taking taylor expansion of 1 in y
4.975 * [backup-simplify]: Simplify 1 into 1
4.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.977 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.978 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.979 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.979 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.981 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.981 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.981 * [taylor]: Taking taylor expansion of 1/2 in x
4.981 * [backup-simplify]: Simplify 1/2 into 1/2
4.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.981 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.981 * [taylor]: Taking taylor expansion of x in x
4.981 * [backup-simplify]: Simplify 0 into 0
4.981 * [backup-simplify]: Simplify 1 into 1
4.982 * [backup-simplify]: Simplify (* 1 1) into 1
4.982 * [backup-simplify]: Simplify (/ 1 1) into 1
4.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.982 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.982 * [taylor]: Taking taylor expansion of y in x
4.982 * [backup-simplify]: Simplify y into y
4.982 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.982 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.984 * [backup-simplify]: Simplify (+ 0 0) into 0
4.984 * [backup-simplify]: Simplify (+ 1 0) into 1
4.985 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.985 * [taylor]: Taking taylor expansion of 0 in y
4.985 * [backup-simplify]: Simplify 0 into 0
4.985 * [taylor]: Taking taylor expansion of 0 in y
4.985 * [backup-simplify]: Simplify 0 into 0
4.985 * [taylor]: Taking taylor expansion of 0 in y
4.985 * [backup-simplify]: Simplify 0 into 0
4.985 * [backup-simplify]: Simplify 1 into 1
4.986 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.988 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.989 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.989 * [backup-simplify]: Simplify (+ 0 0) into 0
4.990 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
4.990 * [taylor]: Taking taylor expansion of 0 in x
4.990 * [backup-simplify]: Simplify 0 into 0
4.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.992 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.993 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
4.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
4.993 * [taylor]: Taking taylor expansion of 1/2 in y
4.993 * [backup-simplify]: Simplify 1/2 into 1/2
4.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.993 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.993 * [taylor]: Taking taylor expansion of y in y
4.993 * [backup-simplify]: Simplify 0 into 0
4.993 * [backup-simplify]: Simplify 1 into 1
4.994 * [backup-simplify]: Simplify (* 1 1) into 1
4.994 * [backup-simplify]: Simplify (/ 1 1) into 1
4.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [taylor]: Taking taylor expansion of 0 in y
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [taylor]: Taking taylor expansion of 0 in y
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [backup-simplify]: Simplify 0 into 0
4.996 * [backup-simplify]: Simplify 0 into 0
4.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.999 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.000 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.000 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.000 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
5.001 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
5.002 * [backup-simplify]: Simplify (+ 0 0) into 0
5.003 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.003 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.003 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
5.004 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
5.004 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
5.005 * [backup-simplify]: Simplify (+ 0 0) into 0
5.006 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.007 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) into 0
5.007 * [backup-simplify]: Simplify (+ 0 0) into 0
5.009 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
5.009 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
5.009 * [taylor]: Taking taylor expansion of -1/2 in x
5.009 * [backup-simplify]: Simplify -1/2 into -1/2
5.009 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
5.009 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
5.009 * [taylor]: Taking taylor expansion of 1/2 in x
5.009 * [backup-simplify]: Simplify 1/2 into 1/2
5.009 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
5.009 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
5.009 * [taylor]: Taking taylor expansion of (pow x 2) in x
5.009 * [taylor]: Taking taylor expansion of x in x
5.010 * [backup-simplify]: Simplify 0 into 0
5.010 * [backup-simplify]: Simplify 1 into 1
5.010 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.010 * [taylor]: Taking taylor expansion of y in x
5.010 * [backup-simplify]: Simplify y into y
5.010 * [backup-simplify]: Simplify (* 1 1) into 1
5.010 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.010 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
5.010 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.010 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
5.010 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
5.010 * [taylor]: Taking taylor expansion of 1/4 in x
5.010 * [backup-simplify]: Simplify 1/4 into 1/4
5.011 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
5.011 * [taylor]: Taking taylor expansion of (pow x 4) in x
5.011 * [taylor]: Taking taylor expansion of x in x
5.011 * [backup-simplify]: Simplify 0 into 0
5.011 * [backup-simplify]: Simplify 1 into 1
5.011 * [backup-simplify]: Simplify (* 1 1) into 1
5.012 * [backup-simplify]: Simplify (* 1 1) into 1
5.012 * [backup-simplify]: Simplify (/ 1 1) into 1
5.012 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
5.012 * [taylor]: Taking taylor expansion of 1/4 in x
5.012 * [backup-simplify]: Simplify 1/4 into 1/4
5.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
5.012 * [taylor]: Taking taylor expansion of (pow y 4) in x
5.012 * [taylor]: Taking taylor expansion of y in x
5.012 * [backup-simplify]: Simplify y into y
5.012 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.013 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
5.013 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
5.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
5.014 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
5.016 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.019 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.024 * [backup-simplify]: Simplify (+ 0 0) into 0
5.024 * [backup-simplify]: Simplify (+ 0 0) into 0
5.025 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
5.026 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.026 * [backup-simplify]: Simplify (+ 0 0) into 0
5.026 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
5.027 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.027 * [backup-simplify]: Simplify (+ 0 0) into 0
5.028 * [backup-simplify]: Simplify (+ 0 0) into 0
5.028 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.028 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
5.029 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.030 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.030 * [taylor]: Taking taylor expansion of 0 in y
5.030 * [backup-simplify]: Simplify 0 into 0
5.030 * [taylor]: Taking taylor expansion of 0 in y
5.030 * [backup-simplify]: Simplify 0 into 0
5.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.032 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.033 * [backup-simplify]: Simplify (+ 0 0) into 0
5.034 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
5.034 * [taylor]: Taking taylor expansion of 0 in y
5.034 * [backup-simplify]: Simplify 0 into 0
5.035 * [taylor]: Taking taylor expansion of 0 in y
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [taylor]: Taking taylor expansion of 0 in y
5.035 * [backup-simplify]: Simplify 0 into 0
5.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.038 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.038 * [backup-simplify]: Simplify 0 into 0
5.038 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
5.038 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1)
5.038 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2))
5.038 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0
5.038 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
5.038 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
5.038 * [taylor]: Taking taylor expansion of (* x x) in y
5.038 * [taylor]: Taking taylor expansion of x in y
5.038 * [backup-simplify]: Simplify x into x
5.038 * [taylor]: Taking taylor expansion of x in y
5.038 * [backup-simplify]: Simplify x into x
5.039 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.039 * [taylor]: Taking taylor expansion of y in y
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 1 into 1
5.039 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
5.039 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
5.039 * [taylor]: Taking taylor expansion of (* x x) in x
5.039 * [taylor]: Taking taylor expansion of x in x
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 1 into 1
5.039 * [taylor]: Taking taylor expansion of x in x
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 1 into 1
5.039 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.039 * [taylor]: Taking taylor expansion of y in x
5.039 * [backup-simplify]: Simplify y into y
5.039 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
5.039 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
5.039 * [taylor]: Taking taylor expansion of (* x x) in x
5.039 * [taylor]: Taking taylor expansion of x in x
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 1 into 1
5.039 * [taylor]: Taking taylor expansion of x in x
5.039 * [backup-simplify]: Simplify 0 into 0
5.039 * [backup-simplify]: Simplify 1 into 1
5.039 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.039 * [taylor]: Taking taylor expansion of y in x
5.039 * [backup-simplify]: Simplify y into y
5.040 * [backup-simplify]: Simplify (* 0 0) into 0
5.040 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.040 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.040 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.040 * [taylor]: Taking taylor expansion of y in y
5.040 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify 1 into 1
5.041 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.041 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.041 * [backup-simplify]: Simplify (+ 0 0) into 0
5.041 * [taylor]: Taking taylor expansion of 0 in y
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify 0 into 0
5.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.043 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.043 * [backup-simplify]: Simplify (+ 1 0) into 1
5.043 * [taylor]: Taking taylor expansion of 1 in y
5.043 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify 1 into 1
5.043 * [backup-simplify]: Simplify 0 into 0
5.044 * [backup-simplify]: Simplify (* 1 1) into 1
5.044 * [backup-simplify]: Simplify 1 into 1
5.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
5.045 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
5.046 * [backup-simplify]: Simplify (+ 0 0) into 0
5.046 * [taylor]: Taking taylor expansion of 0 in y
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 0 into 0
5.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.047 * [backup-simplify]: Simplify 0 into 0
5.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
5.049 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
5.049 * [backup-simplify]: Simplify (+ 0 0) into 0
5.049 * [taylor]: Taking taylor expansion of 0 in y
5.049 * [backup-simplify]: Simplify 0 into 0
5.049 * [backup-simplify]: Simplify 0 into 0
5.049 * [backup-simplify]: Simplify 0 into 0
5.050 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
5.050 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))
5.050 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0
5.050 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
5.050 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
5.050 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
5.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.050 * [taylor]: Taking taylor expansion of x in y
5.050 * [backup-simplify]: Simplify x into x
5.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.050 * [taylor]: Taking taylor expansion of x in y
5.051 * [backup-simplify]: Simplify x into x
5.051 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.051 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.051 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.051 * [taylor]: Taking taylor expansion of y in y
5.051 * [backup-simplify]: Simplify 0 into 0
5.051 * [backup-simplify]: Simplify 1 into 1
5.051 * [backup-simplify]: Simplify (* 1 1) into 1
5.052 * [backup-simplify]: Simplify (/ 1 1) into 1
5.052 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
5.052 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
5.052 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.052 * [taylor]: Taking taylor expansion of x in x
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify 1 into 1
5.052 * [backup-simplify]: Simplify (/ 1 1) into 1
5.052 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.052 * [taylor]: Taking taylor expansion of x in x
5.052 * [backup-simplify]: Simplify 0 into 0
5.052 * [backup-simplify]: Simplify 1 into 1
5.053 * [backup-simplify]: Simplify (/ 1 1) into 1
5.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.053 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.053 * [taylor]: Taking taylor expansion of y in x
5.053 * [backup-simplify]: Simplify y into y
5.053 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.053 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
5.053 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
5.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.053 * [taylor]: Taking taylor expansion of x in x
5.053 * [backup-simplify]: Simplify 0 into 0
5.053 * [backup-simplify]: Simplify 1 into 1
5.054 * [backup-simplify]: Simplify (/ 1 1) into 1
5.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.054 * [taylor]: Taking taylor expansion of x in x
5.054 * [backup-simplify]: Simplify 0 into 0
5.054 * [backup-simplify]: Simplify 1 into 1
5.054 * [backup-simplify]: Simplify (/ 1 1) into 1
5.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.054 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.054 * [taylor]: Taking taylor expansion of y in x
5.054 * [backup-simplify]: Simplify y into y
5.054 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.055 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.055 * [backup-simplify]: Simplify (* 1 1) into 1
5.055 * [backup-simplify]: Simplify (+ 1 0) into 1
5.055 * [taylor]: Taking taylor expansion of 1 in y
5.056 * [backup-simplify]: Simplify 1 into 1
5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.058 * [backup-simplify]: Simplify (+ 0 0) into 0
5.058 * [taylor]: Taking taylor expansion of 0 in y
5.058 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.062 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.062 * [taylor]: Taking taylor expansion of y in y
5.062 * [backup-simplify]: Simplify 0 into 0
5.062 * [backup-simplify]: Simplify 1 into 1
5.062 * [backup-simplify]: Simplify (* 1 1) into 1
5.062 * [backup-simplify]: Simplify (/ 1 1) into 1
5.062 * [backup-simplify]: Simplify 1 into 1
5.063 * [backup-simplify]: Simplify 1 into 1
5.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.066 * [backup-simplify]: Simplify (+ 0 0) into 0
5.066 * [taylor]: Taking taylor expansion of 0 in y
5.066 * [backup-simplify]: Simplify 0 into 0
5.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.067 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify 0 into 0
5.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.071 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
5.072 * [backup-simplify]: Simplify (+ 0 0) into 0
5.072 * [taylor]: Taking taylor expansion of 0 in y
5.072 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 0 into 0
5.074 * [backup-simplify]: Simplify 0 into 0
5.075 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
5.075 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))
5.075 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0
5.075 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
5.075 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
5.075 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
5.075 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.075 * [taylor]: Taking taylor expansion of -1 in y
5.075 * [backup-simplify]: Simplify -1 into -1
5.075 * [taylor]: Taking taylor expansion of x in y
5.075 * [backup-simplify]: Simplify x into x
5.075 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.075 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.075 * [taylor]: Taking taylor expansion of -1 in y
5.076 * [backup-simplify]: Simplify -1 into -1
5.076 * [taylor]: Taking taylor expansion of x in y
5.076 * [backup-simplify]: Simplify x into x
5.076 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.076 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.076 * [taylor]: Taking taylor expansion of y in y
5.076 * [backup-simplify]: Simplify 0 into 0
5.076 * [backup-simplify]: Simplify 1 into 1
5.076 * [backup-simplify]: Simplify (* 1 1) into 1
5.077 * [backup-simplify]: Simplify (/ 1 1) into 1
5.077 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
5.077 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
5.077 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.077 * [taylor]: Taking taylor expansion of -1 in x
5.077 * [backup-simplify]: Simplify -1 into -1
5.077 * [taylor]: Taking taylor expansion of x in x
5.077 * [backup-simplify]: Simplify 0 into 0
5.077 * [backup-simplify]: Simplify 1 into 1
5.077 * [backup-simplify]: Simplify (/ -1 1) into -1
5.077 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.078 * [taylor]: Taking taylor expansion of -1 in x
5.078 * [backup-simplify]: Simplify -1 into -1
5.078 * [taylor]: Taking taylor expansion of x in x
5.078 * [backup-simplify]: Simplify 0 into 0
5.078 * [backup-simplify]: Simplify 1 into 1
5.078 * [backup-simplify]: Simplify (/ -1 1) into -1
5.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.078 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.078 * [taylor]: Taking taylor expansion of y in x
5.078 * [backup-simplify]: Simplify y into y
5.078 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.079 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.079 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
5.079 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
5.079 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.079 * [taylor]: Taking taylor expansion of -1 in x
5.079 * [backup-simplify]: Simplify -1 into -1
5.079 * [taylor]: Taking taylor expansion of x in x
5.079 * [backup-simplify]: Simplify 0 into 0
5.079 * [backup-simplify]: Simplify 1 into 1
5.079 * [backup-simplify]: Simplify (/ -1 1) into -1
5.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.079 * [taylor]: Taking taylor expansion of -1 in x
5.079 * [backup-simplify]: Simplify -1 into -1
5.080 * [taylor]: Taking taylor expansion of x in x
5.080 * [backup-simplify]: Simplify 0 into 0
5.080 * [backup-simplify]: Simplify 1 into 1
5.080 * [backup-simplify]: Simplify (/ -1 1) into -1
5.080 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
5.080 * [taylor]: Taking taylor expansion of (pow y 2) in x
5.080 * [taylor]: Taking taylor expansion of y in x
5.080 * [backup-simplify]: Simplify y into y
5.080 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.080 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
5.081 * [backup-simplify]: Simplify (* -1 -1) into 1
5.081 * [backup-simplify]: Simplify (+ 1 0) into 1
5.081 * [taylor]: Taking taylor expansion of 1 in y
5.081 * [backup-simplify]: Simplify 1 into 1
5.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.083 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.084 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.084 * [backup-simplify]: Simplify (+ 0 0) into 0
5.084 * [taylor]: Taking taylor expansion of 0 in y
5.084 * [backup-simplify]: Simplify 0 into 0
5.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.086 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.087 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.087 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.087 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.087 * [taylor]: Taking taylor expansion of y in y
5.087 * [backup-simplify]: Simplify 0 into 0
5.087 * [backup-simplify]: Simplify 1 into 1
5.088 * [backup-simplify]: Simplify (* 1 1) into 1
5.088 * [backup-simplify]: Simplify (/ 1 1) into 1
5.088 * [backup-simplify]: Simplify 1 into 1
5.088 * [backup-simplify]: Simplify 1 into 1
5.089 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.091 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.091 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
5.092 * [backup-simplify]: Simplify (+ 0 0) into 0
5.092 * [taylor]: Taking taylor expansion of 0 in y
5.092 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.093 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify 0 into 0
5.093 * [backup-simplify]: Simplify 0 into 0
5.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.095 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.097 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.097 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
5.097 * [backup-simplify]: Simplify (+ 0 0) into 0
5.097 * [taylor]: Taking taylor expansion of 0 in y
5.097 * [backup-simplify]: Simplify 0 into 0
5.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.099 * [backup-simplify]: Simplify 0 into 0
5.099 * [backup-simplify]: Simplify 0 into 0
5.099 * [backup-simplify]: Simplify 0 into 0
5.099 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
5.099 * * * [progress]: simplifying candidates
5.100 * [simplify]: Simplifying:
  (expm1 (sqrt (fma x x (* y y))))
  (log1p (sqrt (fma x x (* y y))))
  (log (sqrt (fma x x (* y y))))
  (exp (sqrt (fma x x (* y y))))
  (* (cbrt (sqrt (fma x x (* y y)))) (cbrt (sqrt (fma x x (* y y)))))
  (cbrt (sqrt (fma x x (* y y))))
  (* (* (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y)))) (sqrt (fma x x (* y y))))
  (sqrt (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))))
  (sqrt (cbrt (fma x x (* y y))))
  (sqrt (sqrt (fma x x (* y y))))
  (sqrt (sqrt (fma x x (* y y))))
  (sqrt 1)
  (sqrt (fma x x (* y y)))
  (/ 1 2)
  (sqrt (sqrt (fma x x (* y y))))
  (sqrt (sqrt (fma x x (* y y))))
  (expm1 (hypot z (sqrt (fma x x (* y y)))))
  (log1p (hypot z (sqrt (fma x x (* y y)))))
  (+ (* z z) (* (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y)))))
  (log (hypot z (sqrt (fma x x (* y y)))))
  (exp (hypot z (sqrt (fma x x (* y y)))))
  (* (cbrt (hypot z (sqrt (fma x x (* y y))))) (cbrt (hypot z (sqrt (fma x x (* y y))))))
  (cbrt (hypot z (sqrt (fma x x (* y y)))))
  (* (* (hypot z (sqrt (fma x x (* y y)))) (hypot z (sqrt (fma x x (* y y))))) (hypot z (sqrt (fma x x (* y y)))))
  (sqrt (hypot z (sqrt (fma x x (* y y)))))
  (sqrt (hypot z (sqrt (fma x x (* y y)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  y
  x
  (* -1 x)
  y
  z
  (* -1 z)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
5.100 * * [simplify]: Extracting # 0 : cost  0
5.100 * * [simplify]: Extracting # 1 : cost  0
5.100 * * [simplify]: Extracting # 2 : cost  0
5.100 * * [simplify]: Extracting # 3 : cost  0
5.100 * * [simplify]: Extracting # 4 : cost  0
5.101 * * [simplify]: Extracting # 5 : cost  0
5.101 * * [simplify]: Extracting # 6 : cost  0
5.101 * * [simplify]: iteration  0 :  48  enodes  (cost  405 )
5.115 * * [simplify]: Extracting # 0 : cost  0
5.115 * * [simplify]: Extracting # 1 : cost  0
5.115 * * [simplify]: Extracting # 2 : cost  0
5.115 * * [simplify]: iteration  1 :  68  enodes  (cost  370 )
5.127 * * [simplify]: Extracting # 0 : cost  0
5.127 * * [simplify]: Extracting # 1 : cost  0
5.127 * * [simplify]: Extracting # 2 : cost  0
5.127 * * [simplify]: Extracting # 3 : cost  0
5.127 * * [simplify]: iteration  2 :  137  enodes  (cost  235 )
5.161 * * [simplify]: Extracting # 0 : cost  0
5.161 * * [simplify]: Extracting # 1 : cost  0
5.162 * * [simplify]: Extracting # 2 : cost  0
5.162 * * [simplify]: Extracting # 3 : cost  0
5.162 * * [simplify]: Extracting # 4 : cost  0
5.162 * * [simplify]: iteration  3 :  341  enodes  (cost  231 )
5.368 * * [simplify]: Extracting # 0 : cost  0
5.369 * * [simplify]: Extracting # 1 : cost  0
5.370 * * [simplify]: Extracting # 2 : cost  0
5.370 * * [simplify]: Extracting # 3 : cost  0
5.371 * * [simplify]: Extracting # 4 : cost  0
5.372 * * [simplify]: iteration  4 :  952  enodes  (cost  231 )
6.900 * * [simplify]: Extracting # 0 : cost  0
6.904 * * [simplify]: Extracting # 1 : cost  0
6.906 * * [simplify]: Extracting # 2 : cost  0
6.908 * * [simplify]: Extracting # 3 : cost  0
6.910 * * [simplify]: Extracting # 4 : cost  0
6.912 * * [simplify]: iteration  5 :  3083  enodes  (cost  219 )
8.375 * * [simplify]: Extracting # 0 : cost  0
8.379 * * [simplify]: Extracting # 1 : cost  0
8.386 * * [simplify]: Extracting # 2 : cost  0
8.391 * * [simplify]: iteration done:  5000  enodes  (cost  219 )
8.392 * [simplify]: Simplified to:
  (expm1 (hypot y x))
  (log1p (hypot y x))
  (log (hypot y x))
  (exp (hypot y x))
  (* (cbrt (hypot y x)) (cbrt (hypot y x)))
  (cbrt (hypot y x))
  (pow (hypot y x) 3)
  (fabs (cbrt (pow (hypot y x) 2)))
  (sqrt (cbrt (pow (hypot y x) 2)))
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  1
  (hypot y x)
  1/2
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  (expm1 (hypot z (hypot y x)))
  (log1p (hypot z (hypot y x)))
  (fma z z (pow (hypot y x) 2))
  (log (hypot z (hypot y x)))
  (exp (hypot z (hypot y x)))
  (* (cbrt (hypot z (hypot y x))) (cbrt (hypot z (hypot y x))))
  (cbrt (hypot z (hypot y x)))
  (pow (hypot z (hypot y x)) 3)
  (sqrt (hypot z (hypot y x)))
  (sqrt (hypot z (hypot y x)))
  (expm1 (pow (hypot y x) 2))
  (log1p (pow (hypot y x) 2))
  (* x x)
  (* 2 (log (hypot y x)))
  (exp (pow (hypot y x) 2))
  (* (cbrt (pow (hypot y x) 2)) (cbrt (pow (hypot y x) 2)))
  (cbrt (pow (hypot y x) 2))
  (pow (hypot y x) 6)
  (hypot y x)
  (hypot y x)
  y
  x
  (- x)
  y
  z
  (- z)
  (pow (hypot y x) 2)
  (pow (hypot y x) 2)
  (pow (hypot y x) 2)
8.392 * * * [progress]: adding candidates to table
8.567 * * [progress]: iteration 4 / 4
8.567 * * * [progress]: picking best candidate
8.575 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot z (hypot x y)))>
8.575 * * * [progress]: localizing error
8.586 * * * [progress]: generating rewritten candidates
8.586 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
8.586 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
8.588 * * * [progress]: generating series expansions
8.588 * * * * [progress]: [ 1 / 2 ] generating series at (2)
8.588 * [backup-simplify]: Simplify (hypot z (hypot x y)) into (hypot z (hypot x y))
8.588 * [approximate]: Taking taylor expansion of (hypot z (hypot x y)) in (z x y) around 0
8.588 * [taylor]: Taking taylor expansion of (hypot z (hypot x y)) in y
8.588 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (hypot x y) (hypot x y))))
8.588 * [taylor]: Taking taylor expansion of (+ (* z z) (* (hypot x y) (hypot x y))) in y
8.588 * [taylor]: Taking taylor expansion of (* z z) in y
8.588 * [taylor]: Taking taylor expansion of z in y
8.588 * [backup-simplify]: Simplify z into z
8.588 * [taylor]: Taking taylor expansion of z in y
8.588 * [backup-simplify]: Simplify z into z
8.588 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
8.588 * [taylor]: Taking taylor expansion of (hypot x y) in y
8.588 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
8.588 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
8.588 * [taylor]: Taking taylor expansion of (* x x) in y
8.588 * [taylor]: Taking taylor expansion of x in y
8.588 * [backup-simplify]: Simplify x into x
8.588 * [taylor]: Taking taylor expansion of x in y
8.588 * [backup-simplify]: Simplify x into x
8.589 * [taylor]: Taking taylor expansion of (* y y) in y
8.589 * [taylor]: Taking taylor expansion of y in y
8.589 * [backup-simplify]: Simplify 0 into 0
8.589 * [backup-simplify]: Simplify 1 into 1
8.589 * [taylor]: Taking taylor expansion of y in y
8.589 * [backup-simplify]: Simplify 0 into 0
8.589 * [backup-simplify]: Simplify 1 into 1
8.589 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.589 * [backup-simplify]: Simplify (* 0 0) into 0
8.590 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.590 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.590 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.590 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.591 * [backup-simplify]: Simplify (+ 0 0) into 0
8.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.591 * [taylor]: Taking taylor expansion of (hypot x y) in y
8.591 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
8.591 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
8.591 * [taylor]: Taking taylor expansion of (* x x) in y
8.591 * [taylor]: Taking taylor expansion of x in y
8.591 * [backup-simplify]: Simplify x into x
8.591 * [taylor]: Taking taylor expansion of x in y
8.591 * [backup-simplify]: Simplify x into x
8.591 * [taylor]: Taking taylor expansion of (* y y) in y
8.591 * [taylor]: Taking taylor expansion of y in y
8.591 * [backup-simplify]: Simplify 0 into 0
8.591 * [backup-simplify]: Simplify 1 into 1
8.591 * [taylor]: Taking taylor expansion of y in y
8.591 * [backup-simplify]: Simplify 0 into 0
8.592 * [backup-simplify]: Simplify 1 into 1
8.592 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.592 * [backup-simplify]: Simplify (* 0 0) into 0
8.592 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.592 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.592 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.593 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.593 * [backup-simplify]: Simplify (+ 0 0) into 0
8.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.594 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.594 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.594 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
8.594 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
8.594 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.594 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.595 * [backup-simplify]: Simplify (+ 0 0) into 0
8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
8.595 * [taylor]: Taking taylor expansion of (hypot z (hypot x y)) in x
8.595 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (hypot x y) (hypot x y))))
8.595 * [taylor]: Taking taylor expansion of (+ (* z z) (* (hypot x y) (hypot x y))) in x
8.595 * [taylor]: Taking taylor expansion of (* z z) in x
8.595 * [taylor]: Taking taylor expansion of z in x
8.595 * [backup-simplify]: Simplify z into z
8.595 * [taylor]: Taking taylor expansion of z in x
8.595 * [backup-simplify]: Simplify z into z
8.595 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
8.595 * [taylor]: Taking taylor expansion of (hypot x y) in x
8.596 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
8.596 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
8.596 * [taylor]: Taking taylor expansion of (* x x) in x
8.596 * [taylor]: Taking taylor expansion of x in x
8.596 * [backup-simplify]: Simplify 0 into 0
8.596 * [backup-simplify]: Simplify 1 into 1
8.596 * [taylor]: Taking taylor expansion of x in x
8.596 * [backup-simplify]: Simplify 0 into 0
8.596 * [backup-simplify]: Simplify 1 into 1
8.596 * [taylor]: Taking taylor expansion of (* y y) in x
8.596 * [taylor]: Taking taylor expansion of y in x
8.596 * [backup-simplify]: Simplify y into y
8.596 * [taylor]: Taking taylor expansion of y in x
8.596 * [backup-simplify]: Simplify y into y
8.596 * [backup-simplify]: Simplify (* 0 0) into 0
8.596 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.597 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
8.597 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
8.597 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.597 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.598 * [backup-simplify]: Simplify (+ 0 0) into 0
8.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
8.598 * [taylor]: Taking taylor expansion of (hypot x y) in x
8.598 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
8.598 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
8.598 * [taylor]: Taking taylor expansion of (* x x) in x
8.598 * [taylor]: Taking taylor expansion of x in x
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 1 into 1
8.598 * [taylor]: Taking taylor expansion of x in x
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 1 into 1
8.598 * [taylor]: Taking taylor expansion of (* y y) in x
8.598 * [taylor]: Taking taylor expansion of y in x
8.599 * [backup-simplify]: Simplify y into y
8.599 * [taylor]: Taking taylor expansion of y in x
8.599 * [backup-simplify]: Simplify y into y
8.599 * [backup-simplify]: Simplify (* 0 0) into 0
8.599 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.599 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
8.599 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
8.600 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.600 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.600 * [backup-simplify]: Simplify (+ 0 0) into 0
8.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
8.601 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.601 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.601 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
8.601 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.601 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.601 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.602 * [backup-simplify]: Simplify (+ 0 0) into 0
8.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.602 * [taylor]: Taking taylor expansion of (hypot z (hypot x y)) in z
8.602 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (hypot x y) (hypot x y))))
8.603 * [taylor]: Taking taylor expansion of (+ (* z z) (* (hypot x y) (hypot x y))) in z
8.603 * [taylor]: Taking taylor expansion of (* z z) in z
8.603 * [taylor]: Taking taylor expansion of z in z
8.603 * [backup-simplify]: Simplify 0 into 0
8.603 * [backup-simplify]: Simplify 1 into 1
8.603 * [taylor]: Taking taylor expansion of z in z
8.603 * [backup-simplify]: Simplify 0 into 0
8.603 * [backup-simplify]: Simplify 1 into 1
8.603 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
8.603 * [taylor]: Taking taylor expansion of (hypot x y) in z
8.603 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
8.603 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
8.603 * [taylor]: Taking taylor expansion of (* x x) in z
8.603 * [taylor]: Taking taylor expansion of x in z
8.603 * [backup-simplify]: Simplify x into x
8.603 * [taylor]: Taking taylor expansion of x in z
8.603 * [backup-simplify]: Simplify x into x
8.603 * [taylor]: Taking taylor expansion of (* y y) in z
8.603 * [taylor]: Taking taylor expansion of y in z
8.603 * [backup-simplify]: Simplify y into y
8.603 * [taylor]: Taking taylor expansion of y in z
8.603 * [backup-simplify]: Simplify y into y
8.603 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.603 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.604 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
8.604 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
8.604 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.604 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.605 * [backup-simplify]: Simplify (+ 0 0) into 0
8.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.605 * [taylor]: Taking taylor expansion of (hypot x y) in z
8.605 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
8.605 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
8.605 * [taylor]: Taking taylor expansion of (* x x) in z
8.605 * [taylor]: Taking taylor expansion of x in z
8.605 * [backup-simplify]: Simplify x into x
8.605 * [taylor]: Taking taylor expansion of x in z
8.605 * [backup-simplify]: Simplify x into x
8.605 * [taylor]: Taking taylor expansion of (* y y) in z
8.605 * [taylor]: Taking taylor expansion of y in z
8.605 * [backup-simplify]: Simplify y into y
8.605 * [taylor]: Taking taylor expansion of y in z
8.605 * [backup-simplify]: Simplify y into y
8.605 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.606 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.606 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
8.606 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
8.606 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.606 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.607 * [backup-simplify]: Simplify (+ 0 0) into 0
8.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.607 * [backup-simplify]: Simplify (* 0 0) into 0
8.608 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
8.608 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
8.608 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
8.609 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.610 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.610 * [backup-simplify]: Simplify (+ 0 0) into 0
8.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.610 * [taylor]: Taking taylor expansion of (hypot z (hypot x y)) in z
8.610 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (hypot x y) (hypot x y))))
8.610 * [taylor]: Taking taylor expansion of (+ (* z z) (* (hypot x y) (hypot x y))) in z
8.611 * [taylor]: Taking taylor expansion of (* z z) in z
8.611 * [taylor]: Taking taylor expansion of z in z
8.611 * [backup-simplify]: Simplify 0 into 0
8.611 * [backup-simplify]: Simplify 1 into 1
8.611 * [taylor]: Taking taylor expansion of z in z
8.611 * [backup-simplify]: Simplify 0 into 0
8.611 * [backup-simplify]: Simplify 1 into 1
8.611 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
8.611 * [taylor]: Taking taylor expansion of (hypot x y) in z
8.611 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
8.611 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
8.611 * [taylor]: Taking taylor expansion of (* x x) in z
8.611 * [taylor]: Taking taylor expansion of x in z
8.611 * [backup-simplify]: Simplify x into x
8.611 * [taylor]: Taking taylor expansion of x in z
8.611 * [backup-simplify]: Simplify x into x
8.611 * [taylor]: Taking taylor expansion of (* y y) in z
8.611 * [taylor]: Taking taylor expansion of y in z
8.611 * [backup-simplify]: Simplify y into y
8.611 * [taylor]: Taking taylor expansion of y in z
8.611 * [backup-simplify]: Simplify y into y
8.611 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.611 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.612 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
8.612 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
8.612 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.612 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.612 * [backup-simplify]: Simplify (+ 0 0) into 0
8.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.613 * [taylor]: Taking taylor expansion of (hypot x y) in z
8.613 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
8.613 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
8.613 * [taylor]: Taking taylor expansion of (* x x) in z
8.613 * [taylor]: Taking taylor expansion of x in z
8.613 * [backup-simplify]: Simplify x into x
8.613 * [taylor]: Taking taylor expansion of x in z
8.613 * [backup-simplify]: Simplify x into x
8.613 * [taylor]: Taking taylor expansion of (* y y) in z
8.613 * [taylor]: Taking taylor expansion of y in z
8.613 * [backup-simplify]: Simplify y into y
8.613 * [taylor]: Taking taylor expansion of y in z
8.613 * [backup-simplify]: Simplify y into y
8.613 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.613 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.614 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
8.614 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
8.614 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.614 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.614 * [backup-simplify]: Simplify (+ 0 0) into 0
8.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.615 * [backup-simplify]: Simplify (* 0 0) into 0
8.616 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
8.616 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
8.616 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
8.617 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
8.617 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.618 * [backup-simplify]: Simplify (+ 0 0) into 0
8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
8.618 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
8.618 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.618 * [taylor]: Taking taylor expansion of x in x
8.618 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify 1 into 1
8.618 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.618 * [taylor]: Taking taylor expansion of y in x
8.619 * [backup-simplify]: Simplify y into y
8.619 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.619 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
8.619 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
8.619 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.619 * [backup-simplify]: Simplify (+ 0 0) into 0
8.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
8.620 * [taylor]: Taking taylor expansion of y in y
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify 1 into 1
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [taylor]: Taking taylor expansion of 0 in x
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [taylor]: Taking taylor expansion of 0 in y
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [taylor]: Taking taylor expansion of 0 in y
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify 1 into 1
8.621 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
8.621 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.622 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.623 * [backup-simplify]: Simplify (+ 0 0) into 0
8.624 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.624 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.625 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.625 * [backup-simplify]: Simplify (+ 0 0) into 0
8.626 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.627 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow x 2) (pow y 2)))))) into 0
8.627 * [backup-simplify]: Simplify (+ 1 0) into 1
8.628 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
8.628 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
8.628 * [taylor]: Taking taylor expansion of 1/2 in x
8.628 * [backup-simplify]: Simplify 1/2 into 1/2
8.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
8.629 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
8.629 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
8.629 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.629 * [taylor]: Taking taylor expansion of x in x
8.629 * [backup-simplify]: Simplify 0 into 0
8.629 * [backup-simplify]: Simplify 1 into 1
8.629 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.629 * [taylor]: Taking taylor expansion of y in x
8.629 * [backup-simplify]: Simplify y into y
8.629 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.629 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
8.629 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.629 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
8.629 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.630 * [backup-simplify]: Simplify (+ 0 0) into 0
8.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
8.630 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
8.630 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
8.631 * [taylor]: Taking taylor expansion of 1/2 in y
8.631 * [backup-simplify]: Simplify 1/2 into 1/2
8.631 * [taylor]: Taking taylor expansion of y in y
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [backup-simplify]: Simplify 1 into 1
8.631 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [taylor]: Taking taylor expansion of 0 in y
8.632 * [backup-simplify]: Simplify 0 into 0
8.632 * [backup-simplify]: Simplify 0 into 0
8.633 * [backup-simplify]: Simplify (* 1 1) into 1
8.633 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.633 * [backup-simplify]: Simplify (+ 1 0) into 1
8.634 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
8.634 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
8.634 * [taylor]: Taking taylor expansion of 1/2 in y
8.634 * [backup-simplify]: Simplify 1/2 into 1/2
8.634 * [taylor]: Taking taylor expansion of y in y
8.634 * [backup-simplify]: Simplify 0 into 0
8.634 * [backup-simplify]: Simplify 1 into 1
8.635 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify 0 into 0
8.636 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
8.637 * [backup-simplify]: Simplify (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) into (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y)))
8.637 * [approximate]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in (z x y) around 0
8.637 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in y
8.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))
8.637 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in y
8.637 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
8.637 * [taylor]: Taking taylor expansion of (/ 1 z) in y
8.637 * [taylor]: Taking taylor expansion of z in y
8.637 * [backup-simplify]: Simplify z into z
8.637 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
8.637 * [taylor]: Taking taylor expansion of (/ 1 z) in y
8.637 * [taylor]: Taking taylor expansion of z in y
8.637 * [backup-simplify]: Simplify z into z
8.637 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
8.637 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
8.637 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
8.637 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
8.637 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
8.637 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
8.638 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.638 * [taylor]: Taking taylor expansion of x in y
8.638 * [backup-simplify]: Simplify x into x
8.638 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.638 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.638 * [taylor]: Taking taylor expansion of x in y
8.638 * [backup-simplify]: Simplify x into x
8.638 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.638 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
8.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.638 * [taylor]: Taking taylor expansion of y in y
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 1 into 1
8.638 * [backup-simplify]: Simplify (/ 1 1) into 1
8.638 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.638 * [taylor]: Taking taylor expansion of y in y
8.638 * [backup-simplify]: Simplify 0 into 0
8.638 * [backup-simplify]: Simplify 1 into 1
8.639 * [backup-simplify]: Simplify (/ 1 1) into 1
8.639 * [backup-simplify]: Simplify (* 1 1) into 1
8.640 * [backup-simplify]: Simplify (+ 0 1) into 1
8.640 * [backup-simplify]: Simplify (sqrt 1) into 1
8.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.642 * [backup-simplify]: Simplify (+ 0 0) into 0
8.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.643 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
8.643 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
8.643 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
8.644 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
8.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.644 * [taylor]: Taking taylor expansion of x in y
8.644 * [backup-simplify]: Simplify x into x
8.644 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.644 * [taylor]: Taking taylor expansion of (/ 1 x) in y
8.644 * [taylor]: Taking taylor expansion of x in y
8.644 * [backup-simplify]: Simplify x into x
8.644 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.644 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
8.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.644 * [taylor]: Taking taylor expansion of y in y
8.644 * [backup-simplify]: Simplify 0 into 0
8.644 * [backup-simplify]: Simplify 1 into 1
8.644 * [backup-simplify]: Simplify (/ 1 1) into 1
8.644 * [taylor]: Taking taylor expansion of (/ 1 y) in y
8.644 * [taylor]: Taking taylor expansion of y in y
8.644 * [backup-simplify]: Simplify 0 into 0
8.644 * [backup-simplify]: Simplify 1 into 1
8.645 * [backup-simplify]: Simplify (/ 1 1) into 1
8.645 * [backup-simplify]: Simplify (* 1 1) into 1
8.646 * [backup-simplify]: Simplify (+ 0 1) into 1
8.646 * [backup-simplify]: Simplify (sqrt 1) into 1
8.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.648 * [backup-simplify]: Simplify (+ 0 0) into 0
8.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.650 * [backup-simplify]: Simplify (* 1 1) into 1
8.650 * [backup-simplify]: Simplify (+ 0 1) into 1
8.650 * [backup-simplify]: Simplify (sqrt 1) into 1
8.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.651 * [backup-simplify]: Simplify (+ 0 0) into 0
8.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.652 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in x
8.652 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))
8.652 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in x
8.652 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
8.653 * [taylor]: Taking taylor expansion of (/ 1 z) in x
8.653 * [taylor]: Taking taylor expansion of z in x
8.653 * [backup-simplify]: Simplify z into z
8.653 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
8.653 * [taylor]: Taking taylor expansion of (/ 1 z) in x
8.653 * [taylor]: Taking taylor expansion of z in x
8.653 * [backup-simplify]: Simplify z into z
8.653 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
8.653 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
8.653 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
8.653 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
8.653 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
8.653 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
8.653 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.653 * [taylor]: Taking taylor expansion of x in x
8.653 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify 1 into 1
8.654 * [backup-simplify]: Simplify (/ 1 1) into 1
8.654 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.654 * [taylor]: Taking taylor expansion of x in x
8.654 * [backup-simplify]: Simplify 0 into 0
8.654 * [backup-simplify]: Simplify 1 into 1
8.654 * [backup-simplify]: Simplify (/ 1 1) into 1
8.654 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
8.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.654 * [taylor]: Taking taylor expansion of y in x
8.654 * [backup-simplify]: Simplify y into y
8.654 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.654 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.655 * [taylor]: Taking taylor expansion of y in x
8.655 * [backup-simplify]: Simplify y into y
8.655 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.655 * [backup-simplify]: Simplify (* 1 1) into 1
8.655 * [backup-simplify]: Simplify (+ 1 0) into 1
8.656 * [backup-simplify]: Simplify (sqrt 1) into 1
8.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.658 * [backup-simplify]: Simplify (+ 0 0) into 0
8.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.659 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
8.659 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
8.659 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
8.659 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
8.659 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.659 * [taylor]: Taking taylor expansion of x in x
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 1 into 1
8.660 * [backup-simplify]: Simplify (/ 1 1) into 1
8.660 * [taylor]: Taking taylor expansion of (/ 1 x) in x
8.660 * [taylor]: Taking taylor expansion of x in x
8.660 * [backup-simplify]: Simplify 0 into 0
8.660 * [backup-simplify]: Simplify 1 into 1
8.660 * [backup-simplify]: Simplify (/ 1 1) into 1
8.660 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
8.660 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.660 * [taylor]: Taking taylor expansion of y in x
8.660 * [backup-simplify]: Simplify y into y
8.660 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.660 * [taylor]: Taking taylor expansion of (/ 1 y) in x
8.661 * [taylor]: Taking taylor expansion of y in x
8.661 * [backup-simplify]: Simplify y into y
8.661 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.661 * [backup-simplify]: Simplify (* 1 1) into 1
8.661 * [backup-simplify]: Simplify (+ 1 0) into 1
8.662 * [backup-simplify]: Simplify (sqrt 1) into 1
8.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.664 * [backup-simplify]: Simplify (+ 0 0) into 0
8.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.665 * [backup-simplify]: Simplify (* 1 1) into 1
8.666 * [backup-simplify]: Simplify (+ 0 1) into 1
8.666 * [backup-simplify]: Simplify (sqrt 1) into 1
8.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.667 * [backup-simplify]: Simplify (+ 0 0) into 0
8.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.668 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in z
8.668 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))
8.668 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in z
8.668 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
8.668 * [taylor]: Taking taylor expansion of (/ 1 z) in z
8.668 * [taylor]: Taking taylor expansion of z in z
8.668 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify 1 into 1
8.669 * [backup-simplify]: Simplify (/ 1 1) into 1
8.669 * [taylor]: Taking taylor expansion of (/ 1 z) in z
8.669 * [taylor]: Taking taylor expansion of z in z
8.669 * [backup-simplify]: Simplify 0 into 0
8.669 * [backup-simplify]: Simplify 1 into 1
8.669 * [backup-simplify]: Simplify (/ 1 1) into 1
8.669 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
8.670 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
8.670 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
8.670 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
8.670 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
8.670 * [taylor]: Taking taylor expansion of (/ 1 x) in z
8.670 * [taylor]: Taking taylor expansion of x in z
8.670 * [backup-simplify]: Simplify x into x
8.670 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.670 * [taylor]: Taking taylor expansion of (/ 1 x) in z
8.670 * [taylor]: Taking taylor expansion of x in z
8.670 * [backup-simplify]: Simplify x into x
8.670 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.670 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
8.670 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.670 * [taylor]: Taking taylor expansion of y in z
8.670 * [backup-simplify]: Simplify y into y
8.670 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.670 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.670 * [taylor]: Taking taylor expansion of y in z
8.670 * [backup-simplify]: Simplify y into y
8.670 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.670 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
8.671 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
8.671 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.671 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
8.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.672 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
8.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.672 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
8.673 * [backup-simplify]: Simplify (+ 0 0) into 0
8.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
8.673 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
8.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
8.673 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
8.673 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
8.673 * [taylor]: Taking taylor expansion of (/ 1 x) in z
8.673 * [taylor]: Taking taylor expansion of x in z
8.673 * [backup-simplify]: Simplify x into x
8.673 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.673 * [taylor]: Taking taylor expansion of (/ 1 x) in z
8.673 * [taylor]: Taking taylor expansion of x in z
8.673 * [backup-simplify]: Simplify x into x
8.673 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.673 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
8.674 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.674 * [taylor]: Taking taylor expansion of y in z
8.674 * [backup-simplify]: Simplify y into y
8.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.674 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.674 * [taylor]: Taking taylor expansion of y in z
8.674 * [backup-simplify]: Simplify y into y
8.674 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.674 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
8.674 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
8.674 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.675 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
8.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.675 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
8.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.675 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
8.676 * [backup-simplify]: Simplify (+ 0 0) into 0
8.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
8.677 * [backup-simplify]: Simplify (* 1 1) into 1
8.677 * [backup-simplify]: Simplify (+ 1 0) into 1
8.678 * [backup-simplify]: Simplify (sqrt 1) into 1
8.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.680 * [backup-simplify]: Simplify (+ 0 0) into 0
8.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.681 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in z
8.681 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))
8.681 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in z
8.681 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
8.681 * [taylor]: Taking taylor expansion of (/ 1 z) in z
8.681 * [taylor]: Taking taylor expansion of z in z
8.681 * [backup-simplify]: Simplify 0 into 0
8.681 * [backup-simplify]: Simplify 1 into 1
8.682 * [backup-simplify]: Simplify (/ 1 1) into 1
8.682 * [taylor]: Taking taylor expansion of (/ 1 z) in z
8.682 * [taylor]: Taking taylor expansion of z in z
8.682 * [backup-simplify]: Simplify 0 into 0
8.682 * [backup-simplify]: Simplify 1 into 1
8.682 * [backup-simplify]: Simplify (/ 1 1) into 1
8.682 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
8.682 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
8.682 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
8.683 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
8.683 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
8.683 * [taylor]: Taking taylor expansion of (/ 1 x) in z
8.683 * [taylor]: Taking taylor expansion of x in z
8.683 * [backup-simplify]: Simplify x into x
8.683 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.683 * [taylor]: Taking taylor expansion of (/ 1 x) in z
8.683 * [taylor]: Taking taylor expansion of x in z
8.683 * [backup-simplify]: Simplify x into x
8.683 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.683 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
8.683 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.683 * [taylor]: Taking taylor expansion of y in z
8.683 * [backup-simplify]: Simplify y into y
8.683 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.683 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.683 * [taylor]: Taking taylor expansion of y in z
8.683 * [backup-simplify]: Simplify y into y
8.683 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.683 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
8.683 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
8.684 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.684 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
8.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.685 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
8.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.685 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.685 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
8.685 * [backup-simplify]: Simplify (+ 0 0) into 0
8.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
8.686 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
8.686 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
8.686 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
8.686 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
8.686 * [taylor]: Taking taylor expansion of (/ 1 x) in z
8.686 * [taylor]: Taking taylor expansion of x in z
8.686 * [backup-simplify]: Simplify x into x
8.686 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.686 * [taylor]: Taking taylor expansion of (/ 1 x) in z
8.686 * [taylor]: Taking taylor expansion of x in z
8.686 * [backup-simplify]: Simplify x into x
8.686 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
8.686 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
8.686 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.686 * [taylor]: Taking taylor expansion of y in z
8.686 * [backup-simplify]: Simplify y into y
8.686 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.686 * [taylor]: Taking taylor expansion of (/ 1 y) in z
8.687 * [taylor]: Taking taylor expansion of y in z
8.687 * [backup-simplify]: Simplify y into y
8.687 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
8.687 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
8.687 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
8.687 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.687 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
8.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
8.688 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
8.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
8.688 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
8.689 * [backup-simplify]: Simplify (+ 0 0) into 0
8.689 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
8.689 * [backup-simplify]: Simplify (* 1 1) into 1
8.690 * [backup-simplify]: Simplify (+ 1 0) into 1
8.690 * [backup-simplify]: Simplify (sqrt 1) into 1
8.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.693 * [backup-simplify]: Simplify (+ 0 0) into 0
8.693 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.694 * [taylor]: Taking taylor expansion of 1 in x
8.694 * [backup-simplify]: Simplify 1 into 1
8.694 * [taylor]: Taking taylor expansion of 0 in x
8.694 * [backup-simplify]: Simplify 0 into 0
8.694 * [taylor]: Taking taylor expansion of 1 in y
8.694 * [backup-simplify]: Simplify 1 into 1
8.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.697 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.697 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.091 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.092 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.092 * [taylor]: Taking taylor expansion of 1/2 in x
9.092 * [backup-simplify]: Simplify 1/2 into 1/2
9.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.092 * [taylor]: Taking taylor expansion of x in x
9.092 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify 1 into 1
9.093 * [backup-simplify]: Simplify (* 1 1) into 1
9.093 * [backup-simplify]: Simplify (/ 1 1) into 1
9.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.093 * [taylor]: Taking taylor expansion of y in x
9.093 * [backup-simplify]: Simplify y into y
9.093 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.095 * [backup-simplify]: Simplify (+ 0 0) into 0
9.096 * [backup-simplify]: Simplify (+ 1 0) into 1
9.096 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.096 * [taylor]: Taking taylor expansion of 0 in y
9.096 * [backup-simplify]: Simplify 0 into 0
9.097 * [taylor]: Taking taylor expansion of 0 in y
9.097 * [backup-simplify]: Simplify 0 into 0
9.097 * [taylor]: Taking taylor expansion of 0 in y
9.097 * [backup-simplify]: Simplify 0 into 0
9.097 * [backup-simplify]: Simplify 1 into 1
9.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.099 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.099 * [backup-simplify]: Simplify (+ 0 0) into 0
9.100 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
9.100 * [taylor]: Taking taylor expansion of 0 in x
9.100 * [backup-simplify]: Simplify 0 into 0
9.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.101 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.102 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
9.102 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
9.102 * [taylor]: Taking taylor expansion of 1/2 in y
9.102 * [backup-simplify]: Simplify 1/2 into 1/2
9.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.102 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.102 * [taylor]: Taking taylor expansion of y in y
9.102 * [backup-simplify]: Simplify 0 into 0
9.102 * [backup-simplify]: Simplify 1 into 1
9.102 * [backup-simplify]: Simplify (* 1 1) into 1
9.102 * [backup-simplify]: Simplify (/ 1 1) into 1
9.103 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [taylor]: Taking taylor expansion of 0 in y
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [taylor]: Taking taylor expansion of 0 in y
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [backup-simplify]: Simplify 0 into 0
9.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.106 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
9.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
9.106 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
9.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.107 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
9.107 * [backup-simplify]: Simplify (+ 0 0) into 0
9.107 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
9.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
9.108 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
9.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.108 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
9.109 * [backup-simplify]: Simplify (+ 0 0) into 0
9.109 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.110 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) into 0
9.110 * [backup-simplify]: Simplify (+ 0 0) into 0
9.111 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
9.111 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
9.111 * [taylor]: Taking taylor expansion of -1/2 in x
9.111 * [backup-simplify]: Simplify -1/2 into -1/2
9.111 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
9.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
9.111 * [taylor]: Taking taylor expansion of 1/2 in x
9.111 * [backup-simplify]: Simplify 1/2 into 1/2
9.111 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.111 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.111 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.111 * [taylor]: Taking taylor expansion of x in x
9.111 * [backup-simplify]: Simplify 0 into 0
9.111 * [backup-simplify]: Simplify 1 into 1
9.111 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.111 * [taylor]: Taking taylor expansion of y in x
9.111 * [backup-simplify]: Simplify y into y
9.112 * [backup-simplify]: Simplify (* 1 1) into 1
9.112 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.112 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.112 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
9.112 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
9.112 * [taylor]: Taking taylor expansion of 1/4 in x
9.112 * [backup-simplify]: Simplify 1/4 into 1/4
9.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
9.112 * [taylor]: Taking taylor expansion of (pow x 4) in x
9.112 * [taylor]: Taking taylor expansion of x in x
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * [backup-simplify]: Simplify 1 into 1
9.112 * [backup-simplify]: Simplify (* 1 1) into 1
9.113 * [backup-simplify]: Simplify (* 1 1) into 1
9.113 * [backup-simplify]: Simplify (/ 1 1) into 1
9.113 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
9.113 * [taylor]: Taking taylor expansion of 1/4 in x
9.113 * [backup-simplify]: Simplify 1/4 into 1/4
9.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
9.113 * [taylor]: Taking taylor expansion of (pow y 4) in x
9.113 * [taylor]: Taking taylor expansion of y in x
9.113 * [backup-simplify]: Simplify y into y
9.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.113 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
9.113 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
9.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.115 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
9.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.120 * [backup-simplify]: Simplify (+ 0 0) into 0
9.120 * [backup-simplify]: Simplify (+ 0 0) into 0
9.120 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
9.121 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
9.121 * [backup-simplify]: Simplify (+ 0 0) into 0
9.121 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
9.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
9.122 * [backup-simplify]: Simplify (+ 0 0) into 0
9.122 * [backup-simplify]: Simplify (+ 0 0) into 0
9.123 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
9.123 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
9.123 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
9.124 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
9.124 * [taylor]: Taking taylor expansion of 0 in y
9.124 * [backup-simplify]: Simplify 0 into 0
9.124 * [taylor]: Taking taylor expansion of 0 in y
9.124 * [backup-simplify]: Simplify 0 into 0
9.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.125 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.126 * [backup-simplify]: Simplify (+ 0 0) into 0
9.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
9.126 * [taylor]: Taking taylor expansion of 0 in y
9.126 * [backup-simplify]: Simplify 0 into 0
9.126 * [taylor]: Taking taylor expansion of 0 in y
9.126 * [backup-simplify]: Simplify 0 into 0
9.126 * [taylor]: Taking taylor expansion of 0 in y
9.126 * [backup-simplify]: Simplify 0 into 0
9.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.128 * [backup-simplify]: Simplify 0 into 0
9.128 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
9.128 * [backup-simplify]: Simplify (hypot (/ 1 (- z)) (hypot (/ 1 (- x)) (/ 1 (- y)))) into (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y)))
9.128 * [approximate]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in (z x y) around 0
9.128 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in y
9.128 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))))
9.128 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))) in y
9.128 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
9.128 * [taylor]: Taking taylor expansion of (/ -1 z) in y
9.128 * [taylor]: Taking taylor expansion of -1 in y
9.128 * [backup-simplify]: Simplify -1 into -1
9.128 * [taylor]: Taking taylor expansion of z in y
9.129 * [backup-simplify]: Simplify z into z
9.129 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
9.129 * [taylor]: Taking taylor expansion of (/ -1 z) in y
9.129 * [taylor]: Taking taylor expansion of -1 in y
9.129 * [backup-simplify]: Simplify -1 into -1
9.129 * [taylor]: Taking taylor expansion of z in y
9.129 * [backup-simplify]: Simplify z into z
9.129 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
9.129 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
9.129 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
9.129 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.129 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
9.129 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
9.129 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.129 * [taylor]: Taking taylor expansion of -1 in y
9.129 * [backup-simplify]: Simplify -1 into -1
9.129 * [taylor]: Taking taylor expansion of x in y
9.129 * [backup-simplify]: Simplify x into x
9.129 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.129 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.129 * [taylor]: Taking taylor expansion of -1 in y
9.129 * [backup-simplify]: Simplify -1 into -1
9.129 * [taylor]: Taking taylor expansion of x in y
9.129 * [backup-simplify]: Simplify x into x
9.129 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.129 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
9.129 * [taylor]: Taking taylor expansion of (/ -1 y) in y
9.130 * [taylor]: Taking taylor expansion of -1 in y
9.130 * [backup-simplify]: Simplify -1 into -1
9.130 * [taylor]: Taking taylor expansion of y in y
9.130 * [backup-simplify]: Simplify 0 into 0
9.130 * [backup-simplify]: Simplify 1 into 1
9.130 * [backup-simplify]: Simplify (/ -1 1) into -1
9.130 * [taylor]: Taking taylor expansion of (/ -1 y) in y
9.130 * [taylor]: Taking taylor expansion of -1 in y
9.130 * [backup-simplify]: Simplify -1 into -1
9.130 * [taylor]: Taking taylor expansion of y in y
9.130 * [backup-simplify]: Simplify 0 into 0
9.130 * [backup-simplify]: Simplify 1 into 1
9.131 * [backup-simplify]: Simplify (/ -1 1) into -1
9.131 * [backup-simplify]: Simplify (* -1 -1) into 1
9.131 * [backup-simplify]: Simplify (+ 0 1) into 1
9.132 * [backup-simplify]: Simplify (sqrt 1) into 1
9.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.134 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.134 * [backup-simplify]: Simplify (+ 0 0) into 0
9.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.135 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
9.135 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.135 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
9.136 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
9.136 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.136 * [taylor]: Taking taylor expansion of -1 in y
9.136 * [backup-simplify]: Simplify -1 into -1
9.136 * [taylor]: Taking taylor expansion of x in y
9.136 * [backup-simplify]: Simplify x into x
9.136 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.136 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.136 * [taylor]: Taking taylor expansion of -1 in y
9.136 * [backup-simplify]: Simplify -1 into -1
9.136 * [taylor]: Taking taylor expansion of x in y
9.136 * [backup-simplify]: Simplify x into x
9.136 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.136 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
9.136 * [taylor]: Taking taylor expansion of (/ -1 y) in y
9.136 * [taylor]: Taking taylor expansion of -1 in y
9.136 * [backup-simplify]: Simplify -1 into -1
9.136 * [taylor]: Taking taylor expansion of y in y
9.136 * [backup-simplify]: Simplify 0 into 0
9.136 * [backup-simplify]: Simplify 1 into 1
9.137 * [backup-simplify]: Simplify (/ -1 1) into -1
9.137 * [taylor]: Taking taylor expansion of (/ -1 y) in y
9.137 * [taylor]: Taking taylor expansion of -1 in y
9.137 * [backup-simplify]: Simplify -1 into -1
9.137 * [taylor]: Taking taylor expansion of y in y
9.137 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify 1 into 1
9.137 * [backup-simplify]: Simplify (/ -1 1) into -1
9.138 * [backup-simplify]: Simplify (* -1 -1) into 1
9.138 * [backup-simplify]: Simplify (+ 0 1) into 1
9.138 * [backup-simplify]: Simplify (sqrt 1) into 1
9.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.141 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.141 * [backup-simplify]: Simplify (+ 0 0) into 0
9.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.142 * [backup-simplify]: Simplify (* 1 1) into 1
9.143 * [backup-simplify]: Simplify (+ 0 1) into 1
9.143 * [backup-simplify]: Simplify (sqrt 1) into 1
9.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.144 * [backup-simplify]: Simplify (+ 0 0) into 0
9.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.145 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in x
9.145 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))))
9.145 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))) in x
9.145 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
9.145 * [taylor]: Taking taylor expansion of (/ -1 z) in x
9.145 * [taylor]: Taking taylor expansion of -1 in x
9.145 * [backup-simplify]: Simplify -1 into -1
9.145 * [taylor]: Taking taylor expansion of z in x
9.145 * [backup-simplify]: Simplify z into z
9.145 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
9.145 * [taylor]: Taking taylor expansion of (/ -1 z) in x
9.145 * [taylor]: Taking taylor expansion of -1 in x
9.145 * [backup-simplify]: Simplify -1 into -1
9.145 * [taylor]: Taking taylor expansion of z in x
9.145 * [backup-simplify]: Simplify z into z
9.145 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
9.146 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
9.146 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
9.146 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.146 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
9.146 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
9.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.146 * [taylor]: Taking taylor expansion of -1 in x
9.146 * [backup-simplify]: Simplify -1 into -1
9.146 * [taylor]: Taking taylor expansion of x in x
9.146 * [backup-simplify]: Simplify 0 into 0
9.146 * [backup-simplify]: Simplify 1 into 1
9.146 * [backup-simplify]: Simplify (/ -1 1) into -1
9.146 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.146 * [taylor]: Taking taylor expansion of -1 in x
9.146 * [backup-simplify]: Simplify -1 into -1
9.146 * [taylor]: Taking taylor expansion of x in x
9.147 * [backup-simplify]: Simplify 0 into 0
9.147 * [backup-simplify]: Simplify 1 into 1
9.147 * [backup-simplify]: Simplify (/ -1 1) into -1
9.147 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
9.147 * [taylor]: Taking taylor expansion of (/ -1 y) in x
9.147 * [taylor]: Taking taylor expansion of -1 in x
9.147 * [backup-simplify]: Simplify -1 into -1
9.147 * [taylor]: Taking taylor expansion of y in x
9.147 * [backup-simplify]: Simplify y into y
9.147 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.147 * [taylor]: Taking taylor expansion of (/ -1 y) in x
9.147 * [taylor]: Taking taylor expansion of -1 in x
9.147 * [backup-simplify]: Simplify -1 into -1
9.147 * [taylor]: Taking taylor expansion of y in x
9.147 * [backup-simplify]: Simplify y into y
9.147 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.148 * [backup-simplify]: Simplify (* -1 -1) into 1
9.148 * [backup-simplify]: Simplify (+ 1 0) into 1
9.149 * [backup-simplify]: Simplify (sqrt 1) into 1
9.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.151 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.152 * [backup-simplify]: Simplify (+ 0 0) into 0
9.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.152 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
9.153 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.153 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
9.153 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
9.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.153 * [taylor]: Taking taylor expansion of -1 in x
9.153 * [backup-simplify]: Simplify -1 into -1
9.153 * [taylor]: Taking taylor expansion of x in x
9.153 * [backup-simplify]: Simplify 0 into 0
9.153 * [backup-simplify]: Simplify 1 into 1
9.153 * [backup-simplify]: Simplify (/ -1 1) into -1
9.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.153 * [taylor]: Taking taylor expansion of -1 in x
9.153 * [backup-simplify]: Simplify -1 into -1
9.153 * [taylor]: Taking taylor expansion of x in x
9.153 * [backup-simplify]: Simplify 0 into 0
9.153 * [backup-simplify]: Simplify 1 into 1
9.154 * [backup-simplify]: Simplify (/ -1 1) into -1
9.154 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
9.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x
9.154 * [taylor]: Taking taylor expansion of -1 in x
9.154 * [backup-simplify]: Simplify -1 into -1
9.154 * [taylor]: Taking taylor expansion of y in x
9.154 * [backup-simplify]: Simplify y into y
9.154 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.154 * [taylor]: Taking taylor expansion of (/ -1 y) in x
9.154 * [taylor]: Taking taylor expansion of -1 in x
9.154 * [backup-simplify]: Simplify -1 into -1
9.154 * [taylor]: Taking taylor expansion of y in x
9.154 * [backup-simplify]: Simplify y into y
9.154 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.155 * [backup-simplify]: Simplify (* -1 -1) into 1
9.155 * [backup-simplify]: Simplify (+ 1 0) into 1
9.156 * [backup-simplify]: Simplify (sqrt 1) into 1
9.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.158 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.158 * [backup-simplify]: Simplify (+ 0 0) into 0
9.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.159 * [backup-simplify]: Simplify (* 1 1) into 1
9.160 * [backup-simplify]: Simplify (+ 0 1) into 1
9.160 * [backup-simplify]: Simplify (sqrt 1) into 1
9.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.161 * [backup-simplify]: Simplify (+ 0 0) into 0
9.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.162 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in z
9.162 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))))
9.162 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))) in z
9.162 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
9.162 * [taylor]: Taking taylor expansion of (/ -1 z) in z
9.162 * [taylor]: Taking taylor expansion of -1 in z
9.162 * [backup-simplify]: Simplify -1 into -1
9.162 * [taylor]: Taking taylor expansion of z in z
9.162 * [backup-simplify]: Simplify 0 into 0
9.162 * [backup-simplify]: Simplify 1 into 1
9.163 * [backup-simplify]: Simplify (/ -1 1) into -1
9.163 * [taylor]: Taking taylor expansion of (/ -1 z) in z
9.163 * [taylor]: Taking taylor expansion of -1 in z
9.163 * [backup-simplify]: Simplify -1 into -1
9.163 * [taylor]: Taking taylor expansion of z in z
9.163 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify 1 into 1
9.164 * [backup-simplify]: Simplify (/ -1 1) into -1
9.164 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
9.164 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
9.164 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.164 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
9.164 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
9.164 * [taylor]: Taking taylor expansion of (/ -1 x) in z
9.164 * [taylor]: Taking taylor expansion of -1 in z
9.164 * [backup-simplify]: Simplify -1 into -1
9.164 * [taylor]: Taking taylor expansion of x in z
9.164 * [backup-simplify]: Simplify x into x
9.164 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.164 * [taylor]: Taking taylor expansion of (/ -1 x) in z
9.164 * [taylor]: Taking taylor expansion of -1 in z
9.164 * [backup-simplify]: Simplify -1 into -1
9.164 * [taylor]: Taking taylor expansion of x in z
9.164 * [backup-simplify]: Simplify x into x
9.164 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.164 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
9.164 * [taylor]: Taking taylor expansion of (/ -1 y) in z
9.164 * [taylor]: Taking taylor expansion of -1 in z
9.164 * [backup-simplify]: Simplify -1 into -1
9.164 * [taylor]: Taking taylor expansion of y in z
9.164 * [backup-simplify]: Simplify y into y
9.164 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.165 * [taylor]: Taking taylor expansion of (/ -1 y) in z
9.165 * [taylor]: Taking taylor expansion of -1 in z
9.165 * [backup-simplify]: Simplify -1 into -1
9.165 * [taylor]: Taking taylor expansion of y in z
9.165 * [backup-simplify]: Simplify y into y
9.165 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.165 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
9.165 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
9.165 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.166 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.166 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.166 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.166 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
9.166 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.166 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.166 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
9.167 * [backup-simplify]: Simplify (+ 0 0) into 0
9.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.167 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
9.167 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.167 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
9.168 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
9.168 * [taylor]: Taking taylor expansion of (/ -1 x) in z
9.168 * [taylor]: Taking taylor expansion of -1 in z
9.168 * [backup-simplify]: Simplify -1 into -1
9.168 * [taylor]: Taking taylor expansion of x in z
9.168 * [backup-simplify]: Simplify x into x
9.168 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.168 * [taylor]: Taking taylor expansion of (/ -1 x) in z
9.168 * [taylor]: Taking taylor expansion of -1 in z
9.168 * [backup-simplify]: Simplify -1 into -1
9.168 * [taylor]: Taking taylor expansion of x in z
9.168 * [backup-simplify]: Simplify x into x
9.168 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.168 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
9.168 * [taylor]: Taking taylor expansion of (/ -1 y) in z
9.168 * [taylor]: Taking taylor expansion of -1 in z
9.168 * [backup-simplify]: Simplify -1 into -1
9.168 * [taylor]: Taking taylor expansion of y in z
9.168 * [backup-simplify]: Simplify y into y
9.168 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.168 * [taylor]: Taking taylor expansion of (/ -1 y) in z
9.168 * [taylor]: Taking taylor expansion of -1 in z
9.168 * [backup-simplify]: Simplify -1 into -1
9.168 * [taylor]: Taking taylor expansion of y in z
9.168 * [backup-simplify]: Simplify y into y
9.168 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.168 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
9.168 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
9.169 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.169 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.169 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.169 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.170 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
9.170 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.170 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.170 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
9.171 * [backup-simplify]: Simplify (+ 0 0) into 0
9.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.171 * [backup-simplify]: Simplify (* -1 -1) into 1
9.172 * [backup-simplify]: Simplify (+ 1 0) into 1
9.172 * [backup-simplify]: Simplify (sqrt 1) into 1
9.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.175 * [backup-simplify]: Simplify (+ 0 0) into 0
9.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.176 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in z
9.176 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))))
9.176 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))) in z
9.176 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
9.176 * [taylor]: Taking taylor expansion of (/ -1 z) in z
9.176 * [taylor]: Taking taylor expansion of -1 in z
9.176 * [backup-simplify]: Simplify -1 into -1
9.176 * [taylor]: Taking taylor expansion of z in z
9.176 * [backup-simplify]: Simplify 0 into 0
9.176 * [backup-simplify]: Simplify 1 into 1
9.176 * [backup-simplify]: Simplify (/ -1 1) into -1
9.177 * [taylor]: Taking taylor expansion of (/ -1 z) in z
9.177 * [taylor]: Taking taylor expansion of -1 in z
9.177 * [backup-simplify]: Simplify -1 into -1
9.177 * [taylor]: Taking taylor expansion of z in z
9.177 * [backup-simplify]: Simplify 0 into 0
9.177 * [backup-simplify]: Simplify 1 into 1
9.177 * [backup-simplify]: Simplify (/ -1 1) into -1
9.177 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
9.177 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
9.177 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.177 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
9.177 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
9.177 * [taylor]: Taking taylor expansion of (/ -1 x) in z
9.177 * [taylor]: Taking taylor expansion of -1 in z
9.177 * [backup-simplify]: Simplify -1 into -1
9.177 * [taylor]: Taking taylor expansion of x in z
9.178 * [backup-simplify]: Simplify x into x
9.178 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.178 * [taylor]: Taking taylor expansion of (/ -1 x) in z
9.178 * [taylor]: Taking taylor expansion of -1 in z
9.178 * [backup-simplify]: Simplify -1 into -1
9.178 * [taylor]: Taking taylor expansion of x in z
9.178 * [backup-simplify]: Simplify x into x
9.178 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.178 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
9.178 * [taylor]: Taking taylor expansion of (/ -1 y) in z
9.178 * [taylor]: Taking taylor expansion of -1 in z
9.178 * [backup-simplify]: Simplify -1 into -1
9.178 * [taylor]: Taking taylor expansion of y in z
9.178 * [backup-simplify]: Simplify y into y
9.178 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.178 * [taylor]: Taking taylor expansion of (/ -1 y) in z
9.178 * [taylor]: Taking taylor expansion of -1 in z
9.178 * [backup-simplify]: Simplify -1 into -1
9.178 * [taylor]: Taking taylor expansion of y in z
9.178 * [backup-simplify]: Simplify y into y
9.178 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.178 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
9.178 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
9.179 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.179 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.179 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.179 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.180 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
9.180 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.180 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.180 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
9.181 * [backup-simplify]: Simplify (+ 0 0) into 0
9.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.181 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
9.182 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.182 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
9.182 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
9.182 * [taylor]: Taking taylor expansion of (/ -1 x) in z
9.182 * [taylor]: Taking taylor expansion of -1 in z
9.182 * [backup-simplify]: Simplify -1 into -1
9.182 * [taylor]: Taking taylor expansion of x in z
9.182 * [backup-simplify]: Simplify x into x
9.182 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.182 * [taylor]: Taking taylor expansion of (/ -1 x) in z
9.182 * [taylor]: Taking taylor expansion of -1 in z
9.182 * [backup-simplify]: Simplify -1 into -1
9.182 * [taylor]: Taking taylor expansion of x in z
9.182 * [backup-simplify]: Simplify x into x
9.182 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.182 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
9.182 * [taylor]: Taking taylor expansion of (/ -1 y) in z
9.182 * [taylor]: Taking taylor expansion of -1 in z
9.182 * [backup-simplify]: Simplify -1 into -1
9.182 * [taylor]: Taking taylor expansion of y in z
9.182 * [backup-simplify]: Simplify y into y
9.182 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.182 * [taylor]: Taking taylor expansion of (/ -1 y) in z
9.182 * [taylor]: Taking taylor expansion of -1 in z
9.182 * [backup-simplify]: Simplify -1 into -1
9.182 * [taylor]: Taking taylor expansion of y in z
9.182 * [backup-simplify]: Simplify y into y
9.183 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.183 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
9.183 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
9.183 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.183 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.184 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.184 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
9.184 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
9.184 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.184 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.184 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
9.185 * [backup-simplify]: Simplify (+ 0 0) into 0
9.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.186 * [backup-simplify]: Simplify (* -1 -1) into 1
9.186 * [backup-simplify]: Simplify (+ 1 0) into 1
9.187 * [backup-simplify]: Simplify (sqrt 1) into 1
9.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.189 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.189 * [backup-simplify]: Simplify (+ 0 0) into 0
9.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.190 * [taylor]: Taking taylor expansion of 1 in x
9.190 * [backup-simplify]: Simplify 1 into 1
9.190 * [taylor]: Taking taylor expansion of 0 in x
9.191 * [backup-simplify]: Simplify 0 into 0
9.191 * [taylor]: Taking taylor expansion of 1 in y
9.191 * [backup-simplify]: Simplify 1 into 1
9.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.194 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.194 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.195 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
9.196 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
9.196 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
9.196 * [taylor]: Taking taylor expansion of 1/2 in x
9.196 * [backup-simplify]: Simplify 1/2 into 1/2
9.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
9.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
9.197 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.197 * [taylor]: Taking taylor expansion of x in x
9.197 * [backup-simplify]: Simplify 0 into 0
9.197 * [backup-simplify]: Simplify 1 into 1
9.197 * [backup-simplify]: Simplify (* 1 1) into 1
9.197 * [backup-simplify]: Simplify (/ 1 1) into 1
9.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
9.197 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.197 * [taylor]: Taking taylor expansion of y in x
9.197 * [backup-simplify]: Simplify y into y
9.197 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.198 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.199 * [backup-simplify]: Simplify (+ 0 0) into 0
9.200 * [backup-simplify]: Simplify (+ 1 0) into 1
9.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.200 * [taylor]: Taking taylor expansion of 0 in y
9.201 * [backup-simplify]: Simplify 0 into 0
9.201 * [taylor]: Taking taylor expansion of 0 in y
9.201 * [backup-simplify]: Simplify 0 into 0
9.201 * [taylor]: Taking taylor expansion of 0 in y
9.201 * [backup-simplify]: Simplify 0 into 0
9.201 * [backup-simplify]: Simplify 1 into 1
9.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.204 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
9.205 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.205 * [backup-simplify]: Simplify (+ 0 0) into 0
9.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
9.206 * [taylor]: Taking taylor expansion of 0 in x
9.206 * [backup-simplify]: Simplify 0 into 0
9.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.208 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.209 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
9.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
9.209 * [taylor]: Taking taylor expansion of 1/2 in y
9.209 * [backup-simplify]: Simplify 1/2 into 1/2
9.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
9.209 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.209 * [taylor]: Taking taylor expansion of y in y
9.209 * [backup-simplify]: Simplify 0 into 0
9.209 * [backup-simplify]: Simplify 1 into 1
9.210 * [backup-simplify]: Simplify (* 1 1) into 1
9.210 * [backup-simplify]: Simplify (/ 1 1) into 1
9.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [taylor]: Taking taylor expansion of 0 in y
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [taylor]: Taking taylor expansion of 0 in y
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [backup-simplify]: Simplify 0 into 0
9.212 * [backup-simplify]: Simplify 0 into 0
9.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.216 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
9.216 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
9.216 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
9.216 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
9.217 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.217 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.217 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
9.218 * [backup-simplify]: Simplify (+ 0 0) into 0
9.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.219 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
9.219 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
9.220 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
9.220 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.220 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
9.221 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
9.221 * [backup-simplify]: Simplify (+ 0 0) into 0
9.222 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
9.229 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) into 0
9.230 * [backup-simplify]: Simplify (+ 0 0) into 0
9.232 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
9.232 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
9.232 * [taylor]: Taking taylor expansion of -1/2 in x
9.232 * [backup-simplify]: Simplify -1/2 into -1/2
9.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
9.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
9.232 * [taylor]: Taking taylor expansion of 1/2 in x
9.232 * [backup-simplify]: Simplify 1/2 into 1/2
9.232 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
9.232 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
9.232 * [taylor]: Taking taylor expansion of (pow x 2) in x
9.232 * [taylor]: Taking taylor expansion of x in x
9.232 * [backup-simplify]: Simplify 0 into 0
9.232 * [backup-simplify]: Simplify 1 into 1
9.232 * [taylor]: Taking taylor expansion of (pow y 2) in x
9.232 * [taylor]: Taking taylor expansion of y in x
9.232 * [backup-simplify]: Simplify y into y
9.233 * [backup-simplify]: Simplify (* 1 1) into 1
9.233 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.233 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
9.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
9.233 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
9.233 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
9.233 * [taylor]: Taking taylor expansion of 1/4 in x
9.233 * [backup-simplify]: Simplify 1/4 into 1/4
9.233 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
9.233 * [taylor]: Taking taylor expansion of (pow x 4) in x
9.233 * [taylor]: Taking taylor expansion of x in x
9.233 * [backup-simplify]: Simplify 0 into 0
9.233 * [backup-simplify]: Simplify 1 into 1
9.233 * [backup-simplify]: Simplify (* 1 1) into 1
9.234 * [backup-simplify]: Simplify (* 1 1) into 1
9.234 * [backup-simplify]: Simplify (/ 1 1) into 1
9.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
9.234 * [taylor]: Taking taylor expansion of 1/4 in x
9.234 * [backup-simplify]: Simplify 1/4 into 1/4
9.234 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
9.234 * [taylor]: Taking taylor expansion of (pow y 4) in x
9.234 * [taylor]: Taking taylor expansion of y in x
9.234 * [backup-simplify]: Simplify y into y
9.234 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.234 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
9.234 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
9.234 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
9.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
9.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.240 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.241 * [backup-simplify]: Simplify (+ 0 0) into 0
9.241 * [backup-simplify]: Simplify (+ 0 0) into 0
9.241 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
9.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
9.242 * [backup-simplify]: Simplify (+ 0 0) into 0
9.242 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
9.242 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
9.243 * [backup-simplify]: Simplify (+ 0 0) into 0
9.243 * [backup-simplify]: Simplify (+ 0 0) into 0
9.243 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
9.243 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
9.244 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
9.244 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
9.244 * [taylor]: Taking taylor expansion of 0 in y
9.244 * [backup-simplify]: Simplify 0 into 0
9.244 * [taylor]: Taking taylor expansion of 0 in y
9.244 * [backup-simplify]: Simplify 0 into 0
9.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.246 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
9.246 * [backup-simplify]: Simplify (+ 0 0) into 0
9.247 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
9.247 * [taylor]: Taking taylor expansion of 0 in y
9.247 * [backup-simplify]: Simplify 0 into 0
9.247 * [taylor]: Taking taylor expansion of 0 in y
9.247 * [backup-simplify]: Simplify 0 into 0
9.247 * [taylor]: Taking taylor expansion of 0 in y
9.247 * [backup-simplify]: Simplify 0 into 0
9.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
9.248 * [backup-simplify]: Simplify 0 into 0
9.248 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
9.249 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
9.249 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
9.249 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
9.249 * [taylor]: Taking taylor expansion of (hypot x y) in y
9.249 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
9.249 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
9.249 * [taylor]: Taking taylor expansion of (* x x) in y
9.249 * [taylor]: Taking taylor expansion of x in y
9.249 * [backup-simplify]: Simplify x into x
9.249 * [taylor]: Taking taylor expansion of x in y
9.249 * [backup-simplify]: Simplify x into x
9.249 * [taylor]: Taking taylor expansion of (* y y) in y
9.249 * [taylor]: Taking taylor expansion of y in y
9.249 * [backup-simplify]: Simplify 0 into 0
9.249 * [backup-simplify]: Simplify 1 into 1
9.249 * [taylor]: Taking taylor expansion of y in y
9.249 * [backup-simplify]: Simplify 0 into 0
9.249 * [backup-simplify]: Simplify 1 into 1
9.249 * [backup-simplify]: Simplify (* x x) into (pow x 2)
9.249 * [backup-simplify]: Simplify (* 0 0) into 0
9.249 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
9.249 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
9.250 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
9.250 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.250 * [backup-simplify]: Simplify (+ 0 0) into 0
9.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
9.250 * [taylor]: Taking taylor expansion of (hypot x y) in x
9.250 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
9.250 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
9.250 * [taylor]: Taking taylor expansion of (* x x) in x
9.250 * [taylor]: Taking taylor expansion of x in x
9.250 * [backup-simplify]: Simplify 0 into 0
9.250 * [backup-simplify]: Simplify 1 into 1
9.250 * [taylor]: Taking taylor expansion of x in x
9.250 * [backup-simplify]: Simplify 0 into 0
9.250 * [backup-simplify]: Simplify 1 into 1
9.250 * [taylor]: Taking taylor expansion of (* y y) in x
9.250 * [taylor]: Taking taylor expansion of y in x
9.250 * [backup-simplify]: Simplify y into y
9.250 * [taylor]: Taking taylor expansion of y in x
9.251 * [backup-simplify]: Simplify y into y
9.251 * [backup-simplify]: Simplify (* 0 0) into 0
9.251 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.251 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.251 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.251 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.251 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.252 * [backup-simplify]: Simplify (+ 0 0) into 0
9.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.252 * [taylor]: Taking taylor expansion of (hypot x y) in x
9.252 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
9.252 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
9.252 * [taylor]: Taking taylor expansion of (* x x) in x
9.252 * [taylor]: Taking taylor expansion of x in x
9.252 * [backup-simplify]: Simplify 0 into 0
9.252 * [backup-simplify]: Simplify 1 into 1
9.252 * [taylor]: Taking taylor expansion of x in x
9.252 * [backup-simplify]: Simplify 0 into 0
9.252 * [backup-simplify]: Simplify 1 into 1
9.252 * [taylor]: Taking taylor expansion of (* y y) in x
9.252 * [taylor]: Taking taylor expansion of y in x
9.252 * [backup-simplify]: Simplify y into y
9.252 * [taylor]: Taking taylor expansion of y in x
9.252 * [backup-simplify]: Simplify y into y
9.252 * [backup-simplify]: Simplify (* 0 0) into 0
9.252 * [backup-simplify]: Simplify (* y y) into (pow y 2)
9.253 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
9.253 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
9.253 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
9.253 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
9.253 * [backup-simplify]: Simplify (+ 0 0) into 0
9.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
9.254 * [taylor]: Taking taylor expansion of y in y
9.254 * [backup-simplify]: Simplify 0 into 0
9.254 * [backup-simplify]: Simplify 1 into 1
9.254 * [backup-simplify]: Simplify 0 into 0
9.254 * [taylor]: Taking taylor expansion of 0 in y
9.254 * [backup-simplify]: Simplify 0 into 0
9.254 * [backup-simplify]: Simplify 0 into 0
9.254 * [backup-simplify]: Simplify 1 into 1
9.255 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
9.255 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
9.255 * [backup-simplify]: Simplify (+ 1 0) into 1
9.256 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
9.256 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
9.256 * [taylor]: Taking taylor expansion of 1/2 in y
9.256 * [backup-simplify]: Simplify 1/2 into 1/2
9.256 * [taylor]: Taking taylor expansion of y in y
9.256 * [backup-simplify]: Simplify 0 into 0
9.256 * [backup-simplify]: Simplify 1 into 1
9.256 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.256 * [backup-simplify]: Simplify 0 into 0
9.256 * [backup-simplify]: Simplify 0 into 0
9.257 * [backup-simplify]: Simplify 0 into 0
9.257 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
9.258 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
9.258 * [backup-simplify]: Simplify (+ 0 0) into 0
9.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
9.258 * [taylor]: Taking taylor expansion of 0 in y
9.258 * [backup-simplify]: Simplify 0 into 0
9.258 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.259 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
9.259 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
9.259 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
9.259 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
9.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
9.259 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
9.259 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
9.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.259 * [taylor]: Taking taylor expansion of x in y
9.259 * [backup-simplify]: Simplify x into x
9.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.259 * [taylor]: Taking taylor expansion of (/ 1 x) in y
9.259 * [taylor]: Taking taylor expansion of x in y
9.259 * [backup-simplify]: Simplify x into x
9.259 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
9.259 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
9.259 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.259 * [taylor]: Taking taylor expansion of y in y
9.259 * [backup-simplify]: Simplify 0 into 0
9.259 * [backup-simplify]: Simplify 1 into 1
9.259 * [backup-simplify]: Simplify (/ 1 1) into 1
9.260 * [taylor]: Taking taylor expansion of (/ 1 y) in y
9.260 * [taylor]: Taking taylor expansion of y in y
9.260 * [backup-simplify]: Simplify 0 into 0
9.260 * [backup-simplify]: Simplify 1 into 1
9.260 * [backup-simplify]: Simplify (/ 1 1) into 1
9.260 * [backup-simplify]: Simplify (* 1 1) into 1
9.260 * [backup-simplify]: Simplify (+ 0 1) into 1
9.261 * [backup-simplify]: Simplify (sqrt 1) into 1
9.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.262 * [backup-simplify]: Simplify (+ 0 0) into 0
9.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.263 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
9.263 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
9.263 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
9.263 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
9.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.263 * [taylor]: Taking taylor expansion of x in x
9.263 * [backup-simplify]: Simplify 0 into 0
9.263 * [backup-simplify]: Simplify 1 into 1
9.263 * [backup-simplify]: Simplify (/ 1 1) into 1
9.263 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.263 * [taylor]: Taking taylor expansion of x in x
9.263 * [backup-simplify]: Simplify 0 into 0
9.263 * [backup-simplify]: Simplify 1 into 1
9.264 * [backup-simplify]: Simplify (/ 1 1) into 1
9.264 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
9.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.264 * [taylor]: Taking taylor expansion of y in x
9.264 * [backup-simplify]: Simplify y into y
9.264 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.264 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.264 * [taylor]: Taking taylor expansion of y in x
9.264 * [backup-simplify]: Simplify y into y
9.264 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.264 * [backup-simplify]: Simplify (* 1 1) into 1
9.264 * [backup-simplify]: Simplify (+ 1 0) into 1
9.265 * [backup-simplify]: Simplify (sqrt 1) into 1
9.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.267 * [backup-simplify]: Simplify (+ 0 0) into 0
9.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.268 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
9.268 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
9.268 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
9.268 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
9.268 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.268 * [taylor]: Taking taylor expansion of x in x
9.268 * [backup-simplify]: Simplify 0 into 0
9.268 * [backup-simplify]: Simplify 1 into 1
9.269 * [backup-simplify]: Simplify (/ 1 1) into 1
9.269 * [taylor]: Taking taylor expansion of (/ 1 x) in x
9.269 * [taylor]: Taking taylor expansion of x in x
9.269 * [backup-simplify]: Simplify 0 into 0
9.269 * [backup-simplify]: Simplify 1 into 1
9.269 * [backup-simplify]: Simplify (/ 1 1) into 1
9.269 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
9.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.269 * [taylor]: Taking taylor expansion of y in x
9.269 * [backup-simplify]: Simplify y into y
9.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.269 * [taylor]: Taking taylor expansion of (/ 1 y) in x
9.269 * [taylor]: Taking taylor expansion of y in x
9.269 * [backup-simplify]: Simplify y into y
9.269 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
9.270 * [backup-simplify]: Simplify (* 1 1) into 1
9.270 * [backup-simplify]: Simplify (+ 1 0) into 1
9.270 * [backup-simplify]: Simplify (sqrt 1) into 1
9.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.273 * [backup-simplify]: Simplify (+ 0 0) into 0
9.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.274 * [taylor]: Taking taylor expansion of 1 in y
9.274 * [backup-simplify]: Simplify 1 into 1
9.274 * [taylor]: Taking taylor expansion of 0 in y
9.274 * [backup-simplify]: Simplify 0 into 0
9.274 * [backup-simplify]: Simplify 1 into 1
9.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.277 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
9.277 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.278 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.278 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.278 * [taylor]: Taking taylor expansion of 1/2 in y
9.278 * [backup-simplify]: Simplify 1/2 into 1/2
9.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.279 * [taylor]: Taking taylor expansion of y in y
9.279 * [backup-simplify]: Simplify 0 into 0
9.279 * [backup-simplify]: Simplify 1 into 1
9.279 * [backup-simplify]: Simplify (* 1 1) into 1
9.279 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.281 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.281 * [backup-simplify]: Simplify 0 into 0
9.281 * [backup-simplify]: Simplify 0 into 0
9.281 * [backup-simplify]: Simplify 0 into 0
9.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
9.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
9.284 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
9.285 * [backup-simplify]: Simplify (+ 0 0) into 0
9.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.285 * [taylor]: Taking taylor expansion of 0 in y
9.285 * [backup-simplify]: Simplify 0 into 0
9.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.287 * [backup-simplify]: Simplify 0 into 0
9.287 * [backup-simplify]: Simplify 0 into 0
9.287 * [backup-simplify]: Simplify 0 into 0
9.288 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
9.288 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
9.288 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
9.288 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
9.288 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.288 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
9.288 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
9.288 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.288 * [taylor]: Taking taylor expansion of -1 in y
9.288 * [backup-simplify]: Simplify -1 into -1
9.288 * [taylor]: Taking taylor expansion of x in y
9.288 * [backup-simplify]: Simplify x into x
9.288 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.288 * [taylor]: Taking taylor expansion of (/ -1 x) in y
9.288 * [taylor]: Taking taylor expansion of -1 in y
9.288 * [backup-simplify]: Simplify -1 into -1
9.288 * [taylor]: Taking taylor expansion of x in y
9.288 * [backup-simplify]: Simplify x into x
9.288 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
9.288 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
9.288 * [taylor]: Taking taylor expansion of (/ -1 y) in y
9.289 * [taylor]: Taking taylor expansion of -1 in y
9.289 * [backup-simplify]: Simplify -1 into -1
9.289 * [taylor]: Taking taylor expansion of y in y
9.289 * [backup-simplify]: Simplify 0 into 0
9.289 * [backup-simplify]: Simplify 1 into 1
9.289 * [backup-simplify]: Simplify (/ -1 1) into -1
9.289 * [taylor]: Taking taylor expansion of (/ -1 y) in y
9.289 * [taylor]: Taking taylor expansion of -1 in y
9.289 * [backup-simplify]: Simplify -1 into -1
9.289 * [taylor]: Taking taylor expansion of y in y
9.289 * [backup-simplify]: Simplify 0 into 0
9.289 * [backup-simplify]: Simplify 1 into 1
9.289 * [backup-simplify]: Simplify (/ -1 1) into -1
9.289 * [backup-simplify]: Simplify (* -1 -1) into 1
9.290 * [backup-simplify]: Simplify (+ 0 1) into 1
9.290 * [backup-simplify]: Simplify (sqrt 1) into 1
9.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.291 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.291 * [backup-simplify]: Simplify (+ 0 0) into 0
9.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.292 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
9.292 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.292 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
9.292 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
9.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.292 * [taylor]: Taking taylor expansion of -1 in x
9.292 * [backup-simplify]: Simplify -1 into -1
9.292 * [taylor]: Taking taylor expansion of x in x
9.292 * [backup-simplify]: Simplify 0 into 0
9.292 * [backup-simplify]: Simplify 1 into 1
9.292 * [backup-simplify]: Simplify (/ -1 1) into -1
9.292 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.292 * [taylor]: Taking taylor expansion of -1 in x
9.293 * [backup-simplify]: Simplify -1 into -1
9.293 * [taylor]: Taking taylor expansion of x in x
9.293 * [backup-simplify]: Simplify 0 into 0
9.293 * [backup-simplify]: Simplify 1 into 1
9.293 * [backup-simplify]: Simplify (/ -1 1) into -1
9.293 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
9.293 * [taylor]: Taking taylor expansion of (/ -1 y) in x
9.293 * [taylor]: Taking taylor expansion of -1 in x
9.293 * [backup-simplify]: Simplify -1 into -1
9.293 * [taylor]: Taking taylor expansion of y in x
9.293 * [backup-simplify]: Simplify y into y
9.293 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.293 * [taylor]: Taking taylor expansion of (/ -1 y) in x
9.293 * [taylor]: Taking taylor expansion of -1 in x
9.293 * [backup-simplify]: Simplify -1 into -1
9.293 * [taylor]: Taking taylor expansion of y in x
9.293 * [backup-simplify]: Simplify y into y
9.293 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.293 * [backup-simplify]: Simplify (* -1 -1) into 1
9.294 * [backup-simplify]: Simplify (+ 1 0) into 1
9.294 * [backup-simplify]: Simplify (sqrt 1) into 1
9.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.295 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.295 * [backup-simplify]: Simplify (+ 0 0) into 0
9.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.296 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
9.296 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
9.296 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
9.296 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
9.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.296 * [taylor]: Taking taylor expansion of -1 in x
9.296 * [backup-simplify]: Simplify -1 into -1
9.296 * [taylor]: Taking taylor expansion of x in x
9.296 * [backup-simplify]: Simplify 0 into 0
9.296 * [backup-simplify]: Simplify 1 into 1
9.296 * [backup-simplify]: Simplify (/ -1 1) into -1
9.296 * [taylor]: Taking taylor expansion of (/ -1 x) in x
9.296 * [taylor]: Taking taylor expansion of -1 in x
9.296 * [backup-simplify]: Simplify -1 into -1
9.296 * [taylor]: Taking taylor expansion of x in x
9.296 * [backup-simplify]: Simplify 0 into 0
9.296 * [backup-simplify]: Simplify 1 into 1
9.297 * [backup-simplify]: Simplify (/ -1 1) into -1
9.297 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
9.297 * [taylor]: Taking taylor expansion of (/ -1 y) in x
9.297 * [taylor]: Taking taylor expansion of -1 in x
9.297 * [backup-simplify]: Simplify -1 into -1
9.297 * [taylor]: Taking taylor expansion of y in x
9.297 * [backup-simplify]: Simplify y into y
9.297 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.297 * [taylor]: Taking taylor expansion of (/ -1 y) in x
9.297 * [taylor]: Taking taylor expansion of -1 in x
9.297 * [backup-simplify]: Simplify -1 into -1
9.297 * [taylor]: Taking taylor expansion of y in x
9.297 * [backup-simplify]: Simplify y into y
9.297 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
9.297 * [backup-simplify]: Simplify (* -1 -1) into 1
9.297 * [backup-simplify]: Simplify (+ 1 0) into 1
9.298 * [backup-simplify]: Simplify (sqrt 1) into 1
9.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
9.299 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
9.299 * [backup-simplify]: Simplify (+ 0 0) into 0
9.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
9.300 * [taylor]: Taking taylor expansion of 1 in y
9.300 * [backup-simplify]: Simplify 1 into 1
9.300 * [taylor]: Taking taylor expansion of 0 in y
9.300 * [backup-simplify]: Simplify 0 into 0
9.300 * [backup-simplify]: Simplify 1 into 1
9.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.302 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
9.302 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
9.302 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
9.303 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
9.303 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
9.303 * [taylor]: Taking taylor expansion of 1/2 in y
9.303 * [backup-simplify]: Simplify 1/2 into 1/2
9.303 * [taylor]: Taking taylor expansion of (pow y 2) in y
9.303 * [taylor]: Taking taylor expansion of y in y
9.303 * [backup-simplify]: Simplify 0 into 0
9.303 * [backup-simplify]: Simplify 1 into 1
9.303 * [backup-simplify]: Simplify (* 1 1) into 1
9.303 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
9.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
9.304 * [backup-simplify]: Simplify 0 into 0
9.304 * [backup-simplify]: Simplify 0 into 0
9.305 * [backup-simplify]: Simplify 0 into 0
9.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.306 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
9.306 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.306 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
9.307 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
9.307 * [backup-simplify]: Simplify (+ 0 0) into 0
9.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
9.307 * [taylor]: Taking taylor expansion of 0 in y
9.307 * [backup-simplify]: Simplify 0 into 0
9.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.308 * [backup-simplify]: Simplify 0 into 0
9.308 * [backup-simplify]: Simplify 0 into 0
9.308 * [backup-simplify]: Simplify 0 into 0
9.308 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
9.309 * * * [progress]: simplifying candidates
9.309 * [simplify]: Simplifying:
  (expm1 (hypot z (hypot x y)))
  (log1p (hypot z (hypot x y)))
  (+ (* z z) (* (hypot x y) (hypot x y)))
  (log (hypot z (hypot x y)))
  (exp (hypot z (hypot x y)))
  (* (cbrt (hypot z (hypot x y))) (cbrt (hypot z (hypot x y))))
  (cbrt (hypot z (hypot x y)))
  (* (* (hypot z (hypot x y)) (hypot z (hypot x y))) (hypot z (hypot x y)))
  (sqrt (hypot z (hypot x y)))
  (sqrt (hypot z (hypot x y)))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (+ (* x x) (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  z
  (* -1 z)
  y
  x
  (* -1 x)
9.309 * * [simplify]: Extracting # 0 : cost  0
9.309 * * [simplify]: Extracting # 1 : cost  0
9.309 * * [simplify]: Extracting # 2 : cost  0
9.309 * * [simplify]: Extracting # 3 : cost  0
9.309 * * [simplify]: iteration  0 :  31  enodes  (cost  148 )
9.314 * * [simplify]: Extracting # 0 : cost  0
9.314 * * [simplify]: Extracting # 1 : cost  0
9.314 * * [simplify]: iteration  1 :  41  enodes  (cost  144 )
9.324 * * [simplify]: Extracting # 0 : cost  0
9.324 * * [simplify]: Extracting # 1 : cost  0
9.324 * * [simplify]: Extracting # 2 : cost  0
9.324 * * [simplify]: Extracting # 3 : cost  0
9.324 * * [simplify]: iteration  2 :  46  enodes  (cost  128 )
9.338 * * [simplify]: Extracting # 0 : cost  0
9.338 * * [simplify]: Extracting # 1 : cost  0
9.338 * * [simplify]: Extracting # 2 : cost  0
9.338 * * [simplify]: Extracting # 3 : cost  0
9.338 * * [simplify]: Extracting # 4 : cost  0
9.338 * * [simplify]: iteration  3 :  53  enodes  (cost  128 )
9.356 * * [simplify]: Extracting # 0 : cost  0
9.357 * * [simplify]: Extracting # 1 : cost  0
9.357 * * [simplify]: Extracting # 2 : cost  0
9.357 * * [simplify]: Extracting # 3 : cost  0
9.357 * * [simplify]: iteration  4 :  62  enodes  (cost  128 )
9.366 * * [simplify]: Extracting # 0 : cost  0
9.367 * * [simplify]: Extracting # 1 : cost  0
9.367 * * [simplify]: Extracting # 2 : cost  0
9.367 * * [simplify]: Extracting # 3 : cost  0
9.367 * * [simplify]: iteration  5 :  79  enodes  (cost  128 )
9.379 * * [simplify]: Extracting # 0 : cost  0
9.380 * * [simplify]: Extracting # 1 : cost  0
9.380 * * [simplify]: Extracting # 2 : cost  0
9.380 * * [simplify]: Extracting # 3 : cost  0
9.380 * * [simplify]: iteration  6 :  118  enodes  (cost  128 )
9.435 * * [simplify]: Extracting # 0 : cost  0
9.435 * * [simplify]: Extracting # 1 : cost  0
9.436 * * [simplify]: Extracting # 2 : cost  0
9.436 * * [simplify]: Extracting # 3 : cost  0
9.436 * * [simplify]: Extracting # 4 : cost  0
9.437 * * [simplify]: iteration  7 :  257  enodes  (cost  128 )
9.692 * * [simplify]: Extracting # 0 : cost  0
9.693 * * [simplify]: Extracting # 1 : cost  0
9.694 * * [simplify]: Extracting # 2 : cost  0
9.695 * * [simplify]: Extracting # 3 : cost  0
9.697 * * [simplify]: Extracting # 4 : cost  0
9.698 * * [simplify]: iteration  8 :  839  enodes  (cost  128 )
11.542 * * [simplify]: Extracting # 0 : cost  0
11.545 * * [simplify]: Extracting # 1 : cost  0
11.547 * * [simplify]: Extracting # 2 : cost  0
11.549 * * [simplify]: Extracting # 3 : cost  0
11.551 * * [simplify]: Extracting # 4 : cost  0
11.553 * * [simplify]: Extracting # 5 : cost  0
11.555 * * [simplify]: iteration  9 :  3606  enodes  (cost  128 )
13.295 * * [simplify]: Extracting # 0 : cost  0
13.300 * * [simplify]: Extracting # 1 : cost  0
13.309 * * [simplify]: Extracting # 2 : cost  0
13.318 * * [simplify]: Extracting # 3 : cost  0
13.325 * * [simplify]: iteration done:  5001  enodes  (cost  128 )
13.326 * [simplify]: Simplified to:
  (expm1 (hypot z (hypot x y)))
  (log1p (hypot z (hypot x y)))
  (fma z z (* (hypot x y) (hypot x y)))
  (log (hypot z (hypot x y)))
  (exp (hypot z (hypot x y)))
  (* (cbrt (hypot z (hypot x y))) (cbrt (hypot z (hypot x y))))
  (cbrt (hypot z (hypot x y)))
  (pow (hypot z (hypot x y)) 3)
  (sqrt (hypot z (hypot x y)))
  (sqrt (hypot z (hypot x y)))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (fma x x (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  z
  (- z)
  y
  x
  (- x)
13.326 * * * [progress]: adding candidates to table
13.443 * [progress]: [Phase 3 of 3] Extracting.
13.443 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (hypot z (hypot x y)))> #<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))> #<alt (λ (x y z) (* (sqrt (hypot z (hypot x y))) (sqrt (hypot z (hypot x y)))))>)