62.838 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.021 * * * [progress]: [2/2] Setting up program.
0.024 * [progress]: [Phase 2 of 3] Improving.
0.024 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.024 * * [simplify]: Extracting # 0 : cost  0
0.024 * * [simplify]: Extracting # 1 : cost  0
0.024 * * [simplify]: Extracting # 2 : cost  0
0.024 * * [simplify]: Extracting # 3 : cost  0
0.024 * * [simplify]: Extracting # 4 : cost  0
0.024 * * [simplify]: Extracting # 5 : cost  0
0.024 * * [simplify]: Extracting # 6 : cost  0
0.024 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.026 * * [simplify]: Extracting # 0 : cost  0
0.026 * * [simplify]: Extracting # 1 : cost  0
0.026 * * [simplify]: Extracting # 2 : cost  0
0.026 * * [simplify]: iteration  1 :  14  enodes  (cost  11 )
0.029 * * [simplify]: Extracting # 0 : cost  0
0.029 * * [simplify]: Extracting # 1 : cost  0
0.029 * * [simplify]: Extracting # 2 : cost  0
0.029 * * [simplify]: iteration  2 :  24  enodes  (cost  10 )
0.033 * * [simplify]: Extracting # 0 : cost  0
0.033 * * [simplify]: Extracting # 1 : cost  0
0.033 * * [simplify]: iteration  3 :  31  enodes  (cost  10 )
0.037 * * [simplify]: Extracting # 0 : cost  0
0.038 * * [simplify]: iteration done:  31  enodes  (cost  10 )
0.038 * [simplify]: Simplified to:
  (sqrt (fma z z (fma x x (* y y))))
0.042 * * [progress]: iteration 1 / 4
0.042 * * * [progress]: picking best candidate
0.045 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))>
0.045 * * * [progress]: localizing error
0.064 * * * [progress]: generating rewritten candidates
0.064 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.066 * * * [progress]: generating series expansions
0.066 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.067 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
0.067 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
0.067 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
0.067 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
0.067 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.067 * [taylor]: Taking taylor expansion of (* z z) in y
0.067 * [taylor]: Taking taylor expansion of z in y
0.067 * [backup-simplify]: Simplify z into z
0.067 * [taylor]: Taking taylor expansion of z in y
0.067 * [backup-simplify]: Simplify z into z
0.067 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.067 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.067 * [taylor]: Taking taylor expansion of (* x x) in y
0.067 * [taylor]: Taking taylor expansion of x in y
0.067 * [backup-simplify]: Simplify x into x
0.067 * [taylor]: Taking taylor expansion of x in y
0.067 * [backup-simplify]: Simplify x into x
0.067 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.067 * [taylor]: Taking taylor expansion of y in y
0.067 * [backup-simplify]: Simplify 0 into 0
0.067 * [backup-simplify]: Simplify 1 into 1
0.067 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.067 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.068 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.068 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
0.068 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.068 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.068 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify (+ 0 0) into 0
0.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.069 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
0.069 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
0.069 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.069 * [taylor]: Taking taylor expansion of (* z z) in x
0.070 * [taylor]: Taking taylor expansion of z in x
0.070 * [backup-simplify]: Simplify z into z
0.070 * [taylor]: Taking taylor expansion of z in x
0.070 * [backup-simplify]: Simplify z into z
0.070 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.070 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.070 * [taylor]: Taking taylor expansion of (* x x) in x
0.070 * [taylor]: Taking taylor expansion of x in x
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [taylor]: Taking taylor expansion of x in x
0.070 * [backup-simplify]: Simplify 0 into 0
0.070 * [backup-simplify]: Simplify 1 into 1
0.070 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.070 * [taylor]: Taking taylor expansion of y in x
0.070 * [backup-simplify]: Simplify y into y
0.070 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.070 * [backup-simplify]: Simplify (* 0 0) into 0
0.070 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.070 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.071 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
0.071 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.071 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.071 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.071 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify (+ 0 0) into 0
0.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.072 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
0.072 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.073 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.073 * [taylor]: Taking taylor expansion of (* z z) in z
0.073 * [taylor]: Taking taylor expansion of z in z
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [taylor]: Taking taylor expansion of z in z
0.073 * [backup-simplify]: Simplify 0 into 0
0.073 * [backup-simplify]: Simplify 1 into 1
0.073 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.073 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.073 * [taylor]: Taking taylor expansion of (* x x) in z
0.073 * [taylor]: Taking taylor expansion of x in z
0.073 * [backup-simplify]: Simplify x into x
0.073 * [taylor]: Taking taylor expansion of x in z
0.073 * [backup-simplify]: Simplify x into x
0.073 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.073 * [taylor]: Taking taylor expansion of y in z
0.073 * [backup-simplify]: Simplify y into y
0.073 * [backup-simplify]: Simplify (* 0 0) into 0
0.073 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.073 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.074 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.074 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.074 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.075 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.075 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.075 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.075 * [backup-simplify]: Simplify (+ 0 0) into 0
0.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.076 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
0.076 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.076 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.076 * [taylor]: Taking taylor expansion of (* z z) in z
0.076 * [taylor]: Taking taylor expansion of z in z
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [taylor]: Taking taylor expansion of z in z
0.076 * [backup-simplify]: Simplify 0 into 0
0.076 * [backup-simplify]: Simplify 1 into 1
0.076 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.076 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.076 * [taylor]: Taking taylor expansion of (* x x) in z
0.076 * [taylor]: Taking taylor expansion of x in z
0.076 * [backup-simplify]: Simplify x into x
0.076 * [taylor]: Taking taylor expansion of x in z
0.076 * [backup-simplify]: Simplify x into x
0.076 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.076 * [taylor]: Taking taylor expansion of y in z
0.076 * [backup-simplify]: Simplify y into y
0.077 * [backup-simplify]: Simplify (* 0 0) into 0
0.077 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.077 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.077 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.077 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.078 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.078 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.078 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.078 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.079 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.079 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.079 * [taylor]: Taking taylor expansion of x in x
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.079 * [taylor]: Taking taylor expansion of y in x
0.079 * [backup-simplify]: Simplify y into y
0.079 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.079 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.079 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.079 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.080 * [taylor]: Taking taylor expansion of y in y
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [taylor]: Taking taylor expansion of 0 in x
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [taylor]: Taking taylor expansion of 0 in y
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 0 into 0
0.080 * [backup-simplify]: Simplify 1 into 1
0.080 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.081 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.081 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (+ 1 0) into 1
0.082 * [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)))))
0.082 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
0.082 * [taylor]: Taking taylor expansion of 1/2 in x
0.082 * [backup-simplify]: Simplify 1/2 into 1/2
0.082 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
0.083 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
0.083 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.083 * [taylor]: Taking taylor expansion of x in x
0.083 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.083 * [taylor]: Taking taylor expansion of y in x
0.083 * [backup-simplify]: Simplify y into y
0.083 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.083 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.083 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
0.083 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
0.084 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.084 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.084 * [taylor]: Taking taylor expansion of 1/2 in y
0.084 * [backup-simplify]: Simplify 1/2 into 1/2
0.084 * [taylor]: Taking taylor expansion of y in y
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [taylor]: Taking taylor expansion of 0 in y
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify 0 into 0
0.085 * [backup-simplify]: Simplify (* 1 1) into 1
0.086 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.086 * [backup-simplify]: Simplify (+ 1 0) into 1
0.087 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.087 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.087 * [taylor]: Taking taylor expansion of 1/2 in y
0.087 * [backup-simplify]: Simplify 1/2 into 1/2
0.087 * [taylor]: Taking taylor expansion of y in y
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.087 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
0.088 * [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)))))
0.088 * [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
0.088 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
0.088 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
0.088 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.088 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.088 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.089 * [taylor]: Taking taylor expansion of z in y
0.089 * [backup-simplify]: Simplify z into z
0.089 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.089 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.089 * [taylor]: Taking taylor expansion of z in y
0.089 * [backup-simplify]: Simplify z into z
0.089 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.089 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.089 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.089 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.089 * [taylor]: Taking taylor expansion of x in y
0.089 * [backup-simplify]: Simplify x into x
0.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.089 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.089 * [taylor]: Taking taylor expansion of x in y
0.089 * [backup-simplify]: Simplify x into x
0.089 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.089 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.089 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.089 * [taylor]: Taking taylor expansion of y in y
0.089 * [backup-simplify]: Simplify 0 into 0
0.089 * [backup-simplify]: Simplify 1 into 1
0.089 * [backup-simplify]: Simplify (* 1 1) into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [backup-simplify]: Simplify (+ 0 1) into 1
0.090 * [backup-simplify]: Simplify (+ 0 1) into 1
0.091 * [backup-simplify]: Simplify (sqrt 1) into 1
0.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.093 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
0.093 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
0.093 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.093 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.093 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.093 * [taylor]: Taking taylor expansion of z in x
0.093 * [backup-simplify]: Simplify z into z
0.093 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.093 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.093 * [taylor]: Taking taylor expansion of z in x
0.093 * [backup-simplify]: Simplify z into z
0.093 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.093 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.093 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.093 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.094 * [taylor]: Taking taylor expansion of x in x
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (/ 1 1) into 1
0.094 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.094 * [taylor]: Taking taylor expansion of x in x
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.095 * [backup-simplify]: Simplify (/ 1 1) into 1
0.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.095 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.095 * [taylor]: Taking taylor expansion of y in x
0.095 * [backup-simplify]: Simplify y into y
0.095 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.095 * [backup-simplify]: Simplify (* 1 1) into 1
0.096 * [backup-simplify]: Simplify (+ 1 0) into 1
0.096 * [backup-simplify]: Simplify (+ 0 1) into 1
0.096 * [backup-simplify]: Simplify (sqrt 1) into 1
0.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.100 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
0.100 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.100 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.100 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.100 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.100 * [taylor]: Taking taylor expansion of z in z
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (/ 1 1) into 1
0.101 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.101 * [taylor]: Taking taylor expansion of z in z
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (/ 1 1) into 1
0.101 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.101 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.101 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.102 * [taylor]: Taking taylor expansion of x in z
0.102 * [backup-simplify]: Simplify x into x
0.102 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.102 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.102 * [taylor]: Taking taylor expansion of x in z
0.102 * [backup-simplify]: Simplify x into x
0.102 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.102 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.102 * [taylor]: Taking taylor expansion of y in z
0.102 * [backup-simplify]: Simplify y into y
0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.103 * [backup-simplify]: Simplify (* 1 1) into 1
0.103 * [backup-simplify]: Simplify (+ 1 0) into 1
0.103 * [backup-simplify]: Simplify (sqrt 1) into 1
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (+ 0 0) into 0
0.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.106 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
0.106 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.107 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.107 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.107 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.107 * [taylor]: Taking taylor expansion of z in z
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.107 * [backup-simplify]: Simplify (/ 1 1) into 1
0.107 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.107 * [taylor]: Taking taylor expansion of z in z
0.107 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify 1 into 1
0.108 * [backup-simplify]: Simplify (/ 1 1) into 1
0.108 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.108 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.108 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.108 * [taylor]: Taking taylor expansion of x in z
0.108 * [backup-simplify]: Simplify x into x
0.108 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.108 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.108 * [taylor]: Taking taylor expansion of x in z
0.108 * [backup-simplify]: Simplify x into x
0.108 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.108 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.108 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.108 * [taylor]: Taking taylor expansion of y in z
0.108 * [backup-simplify]: Simplify y into y
0.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.108 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.109 * [backup-simplify]: Simplify (* 1 1) into 1
0.109 * [backup-simplify]: Simplify (+ 1 0) into 1
0.110 * [backup-simplify]: Simplify (sqrt 1) into 1
0.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.112 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.113 * [taylor]: Taking taylor expansion of 1 in x
0.113 * [backup-simplify]: Simplify 1 into 1
0.113 * [taylor]: Taking taylor expansion of 0 in x
0.113 * [backup-simplify]: Simplify 0 into 0
0.113 * [taylor]: Taking taylor expansion of 1 in y
0.113 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.116 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
0.116 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.116 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.118 * [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))))
0.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.118 * [taylor]: Taking taylor expansion of 1/2 in x
0.118 * [backup-simplify]: Simplify 1/2 into 1/2
0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.118 * [taylor]: Taking taylor expansion of x in x
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (* 1 1) into 1
0.119 * [backup-simplify]: Simplify (/ 1 1) into 1
0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.119 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.119 * [taylor]: Taking taylor expansion of y in x
0.119 * [backup-simplify]: Simplify y into y
0.119 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.119 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (+ 1 0) into 1
0.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.122 * [taylor]: Taking taylor expansion of 0 in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [taylor]: Taking taylor expansion of 0 in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [taylor]: Taking taylor expansion of 0 in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.124 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
0.124 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) 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 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.126 * [taylor]: Taking taylor expansion of 0 in x
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.128 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
0.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
0.128 * [taylor]: Taking taylor expansion of 1/2 in y
0.128 * [backup-simplify]: Simplify 1/2 into 1/2
0.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.128 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.128 * [taylor]: Taking taylor expansion of y in y
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 1 into 1
0.128 * [backup-simplify]: Simplify (* 1 1) into 1
0.129 * [backup-simplify]: Simplify (/ 1 1) into 1
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [taylor]: Taking taylor expansion of 0 in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [taylor]: Taking taylor expansion of 0 in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.133 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.134 * [backup-simplify]: Simplify (+ 0 0) into 0
0.135 * [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))))))
0.135 * [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
0.135 * [taylor]: Taking taylor expansion of -1/2 in x
0.135 * [backup-simplify]: Simplify -1/2 into -1/2
0.135 * [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
0.135 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
0.135 * [taylor]: Taking taylor expansion of 1/2 in x
0.135 * [backup-simplify]: Simplify 1/2 into 1/2
0.135 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
0.135 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
0.135 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.135 * [taylor]: Taking taylor expansion of x in x
0.135 * [backup-simplify]: Simplify 0 into 0
0.135 * [backup-simplify]: Simplify 1 into 1
0.136 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.136 * [taylor]: Taking taylor expansion of y in x
0.136 * [backup-simplify]: Simplify y into y
0.136 * [backup-simplify]: Simplify (* 1 1) into 1
0.136 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.136 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
0.136 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.136 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
0.136 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
0.136 * [taylor]: Taking taylor expansion of 1/4 in x
0.136 * [backup-simplify]: Simplify 1/4 into 1/4
0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.136 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.136 * [taylor]: Taking taylor expansion of x in x
0.136 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify 1 into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (* 1 1) into 1
0.137 * [backup-simplify]: Simplify (/ 1 1) into 1
0.137 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
0.137 * [taylor]: Taking taylor expansion of 1/4 in x
0.137 * [backup-simplify]: Simplify 1/4 into 1/4
0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
0.137 * [taylor]: Taking taylor expansion of (pow y 4) in x
0.137 * [taylor]: Taking taylor expansion of y in x
0.137 * [backup-simplify]: Simplify y into y
0.137 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.138 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
0.138 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
0.138 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.139 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.145 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
0.146 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
0.147 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify (+ 0 0) into 0
0.148 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.148 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.149 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.150 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.150 * [taylor]: Taking taylor expansion of 0 in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.150 * [taylor]: Taking taylor expansion of 0 in y
0.150 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.153 * [backup-simplify]: Simplify (+ 0 0) into 0
0.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [taylor]: Taking taylor expansion of 0 in y
0.155 * [backup-simplify]: Simplify 0 into 0
0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.158 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
0.159 * [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)))))
0.159 * [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
0.159 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
0.159 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
0.160 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.160 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.160 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.160 * [taylor]: Taking taylor expansion of -1 in y
0.160 * [backup-simplify]: Simplify -1 into -1
0.160 * [taylor]: Taking taylor expansion of z in y
0.160 * [backup-simplify]: Simplify z into z
0.160 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.160 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.160 * [taylor]: Taking taylor expansion of -1 in y
0.160 * [backup-simplify]: Simplify -1 into -1
0.160 * [taylor]: Taking taylor expansion of z in y
0.160 * [backup-simplify]: Simplify z into z
0.160 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.160 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.160 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.160 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.160 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.160 * [taylor]: Taking taylor expansion of -1 in y
0.160 * [backup-simplify]: Simplify -1 into -1
0.160 * [taylor]: Taking taylor expansion of x in y
0.160 * [backup-simplify]: Simplify x into x
0.160 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.160 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.161 * [taylor]: Taking taylor expansion of -1 in y
0.161 * [backup-simplify]: Simplify -1 into -1
0.161 * [taylor]: Taking taylor expansion of x in y
0.161 * [backup-simplify]: Simplify x into x
0.161 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.161 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.161 * [taylor]: Taking taylor expansion of y in y
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.162 * [backup-simplify]: Simplify (* 1 1) into 1
0.162 * [backup-simplify]: Simplify (/ 1 1) into 1
0.163 * [backup-simplify]: Simplify (+ 0 1) into 1
0.163 * [backup-simplify]: Simplify (+ 0 1) into 1
0.163 * [backup-simplify]: Simplify (sqrt 1) into 1
0.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (+ 0 0) into 0
0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.167 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
0.167 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
0.167 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.167 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.167 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.167 * [taylor]: Taking taylor expansion of -1 in x
0.167 * [backup-simplify]: Simplify -1 into -1
0.167 * [taylor]: Taking taylor expansion of z in x
0.167 * [backup-simplify]: Simplify z into z
0.167 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.167 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.167 * [taylor]: Taking taylor expansion of -1 in x
0.167 * [backup-simplify]: Simplify -1 into -1
0.167 * [taylor]: Taking taylor expansion of z in x
0.167 * [backup-simplify]: Simplify z into z
0.167 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.167 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.168 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.168 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.168 * [taylor]: Taking taylor expansion of -1 in x
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of x in x
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ -1 1) into -1
0.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.169 * [taylor]: Taking taylor expansion of -1 in x
0.169 * [backup-simplify]: Simplify -1 into -1
0.169 * [taylor]: Taking taylor expansion of x in x
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ -1 1) into -1
0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.169 * [taylor]: Taking taylor expansion of y in x
0.169 * [backup-simplify]: Simplify y into y
0.170 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.170 * [backup-simplify]: Simplify (* -1 -1) into 1
0.171 * [backup-simplify]: Simplify (+ 1 0) into 1
0.171 * [backup-simplify]: Simplify (+ 0 1) into 1
0.172 * [backup-simplify]: Simplify (sqrt 1) into 1
0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.174 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.175 * [backup-simplify]: Simplify (+ 0 0) into 0
0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.176 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
0.176 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.176 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.176 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.176 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.177 * [taylor]: Taking taylor expansion of -1 in z
0.177 * [backup-simplify]: Simplify -1 into -1
0.177 * [taylor]: Taking taylor expansion of z in z
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (/ -1 1) into -1
0.177 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.177 * [taylor]: Taking taylor expansion of -1 in z
0.177 * [backup-simplify]: Simplify -1 into -1
0.177 * [taylor]: Taking taylor expansion of z in z
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.178 * [backup-simplify]: Simplify (/ -1 1) into -1
0.178 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.178 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.178 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.178 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.178 * [taylor]: Taking taylor expansion of -1 in z
0.178 * [backup-simplify]: Simplify -1 into -1
0.178 * [taylor]: Taking taylor expansion of x in z
0.178 * [backup-simplify]: Simplify x into x
0.178 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.178 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.178 * [taylor]: Taking taylor expansion of -1 in z
0.178 * [backup-simplify]: Simplify -1 into -1
0.178 * [taylor]: Taking taylor expansion of x in z
0.178 * [backup-simplify]: Simplify x into x
0.179 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.179 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.179 * [taylor]: Taking taylor expansion of y in z
0.179 * [backup-simplify]: Simplify y into y
0.179 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.179 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.179 * [backup-simplify]: Simplify (* -1 -1) into 1
0.180 * [backup-simplify]: Simplify (+ 1 0) into 1
0.180 * [backup-simplify]: Simplify (sqrt 1) into 1
0.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.182 * [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 z
0.183 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
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 z
0.183 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.183 * [taylor]: Taking taylor expansion of -1 in z
0.183 * [backup-simplify]: Simplify -1 into -1
0.183 * [taylor]: Taking taylor expansion of z in z
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.183 * [backup-simplify]: Simplify (/ -1 1) into -1
0.183 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.183 * [taylor]: Taking taylor expansion of -1 in z
0.183 * [backup-simplify]: Simplify -1 into -1
0.183 * [taylor]: Taking taylor expansion of z in z
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (/ -1 1) into -1
0.184 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
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 z
0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.184 * [taylor]: Taking taylor expansion of -1 in z
0.184 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of x in z
0.184 * [backup-simplify]: Simplify x into x
0.184 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.184 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.184 * [taylor]: Taking taylor expansion of -1 in z
0.184 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of x in z
0.184 * [backup-simplify]: Simplify x into x
0.184 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.184 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.184 * [taylor]: Taking taylor expansion of y in z
0.184 * [backup-simplify]: Simplify y into y
0.184 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.184 * [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
0.185 * [backup-simplify]: Simplify (sqrt 1) into 1
0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.196 * [taylor]: Taking taylor expansion of 1 in x
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [taylor]: Taking taylor expansion of 0 in x
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [taylor]: Taking taylor expansion of 1 in y
0.196 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.198 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.198 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
0.198 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.199 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.200 * [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))))
0.200 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.200 * [taylor]: Taking taylor expansion of 1/2 in x
0.200 * [backup-simplify]: Simplify 1/2 into 1/2
0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.200 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.200 * [taylor]: Taking taylor expansion of x in x
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (* 1 1) into 1
0.201 * [backup-simplify]: Simplify (/ 1 1) into 1
0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.201 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.201 * [taylor]: Taking taylor expansion of y in x
0.201 * [backup-simplify]: Simplify y into y
0.201 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (+ 1 0) into 1
0.203 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.203 * [taylor]: Taking taylor expansion of 0 in y
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [taylor]: Taking taylor expansion of 0 in y
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [taylor]: Taking taylor expansion of 0 in y
0.203 * [backup-simplify]: Simplify 0 into 0
0.203 * [backup-simplify]: Simplify 1 into 1
0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.205 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.205 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.205 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.205 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
0.205 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.207 * [taylor]: Taking taylor expansion of 0 in x
0.207 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.209 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
0.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
0.209 * [taylor]: Taking taylor expansion of 1/2 in y
0.209 * [backup-simplify]: Simplify 1/2 into 1/2
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.209 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.209 * [taylor]: Taking taylor expansion of y in y
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.210 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [taylor]: Taking taylor expansion of 0 in y
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [taylor]: Taking taylor expansion of 0 in y
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.213 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.214 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [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))))))
0.216 * [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
0.217 * [taylor]: Taking taylor expansion of -1/2 in x
0.217 * [backup-simplify]: Simplify -1/2 into -1/2
0.217 * [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
0.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
0.217 * [taylor]: Taking taylor expansion of 1/2 in x
0.217 * [backup-simplify]: Simplify 1/2 into 1/2
0.217 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
0.217 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
0.217 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.217 * [taylor]: Taking taylor expansion of x in x
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.217 * [taylor]: Taking taylor expansion of y in x
0.217 * [backup-simplify]: Simplify y into y
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.218 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
0.218 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.218 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
0.218 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
0.218 * [taylor]: Taking taylor expansion of 1/4 in x
0.218 * [backup-simplify]: Simplify 1/4 into 1/4
0.218 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.218 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.218 * [taylor]: Taking taylor expansion of x in x
0.218 * [backup-simplify]: Simplify 0 into 0
0.218 * [backup-simplify]: Simplify 1 into 1
0.219 * [backup-simplify]: Simplify (* 1 1) into 1
0.219 * [backup-simplify]: Simplify (* 1 1) into 1
0.219 * [backup-simplify]: Simplify (/ 1 1) into 1
0.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
0.220 * [taylor]: Taking taylor expansion of 1/4 in x
0.220 * [backup-simplify]: Simplify 1/4 into 1/4
0.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
0.220 * [taylor]: Taking taylor expansion of (pow y 4) in x
0.220 * [taylor]: Taking taylor expansion of y in x
0.220 * [backup-simplify]: Simplify y into y
0.220 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.220 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
0.220 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
0.220 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.224 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
0.236 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.237 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
0.238 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.239 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.240 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.241 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.241 * [taylor]: Taking taylor expansion of 0 in y
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [taylor]: Taking taylor expansion of 0 in y
0.241 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.244 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.246 * [taylor]: Taking taylor expansion of 0 in y
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of 0 in y
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [taylor]: Taking taylor expansion of 0 in y
0.246 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
0.249 * * * [progress]: simplifying candidates
0.250 * [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)))))
  y
  z
  (* -1 z)
0.251 * * [simplify]: Extracting # 0 : cost  0
0.251 * * [simplify]: Extracting # 1 : cost  0
0.251 * * [simplify]: Extracting # 2 : cost  0
0.251 * * [simplify]: Extracting # 3 : cost  0
0.251 * * [simplify]: Extracting # 4 : cost  0
0.251 * * [simplify]: Extracting # 5 : cost  0
0.251 * * [simplify]: Extracting # 6 : cost  0
0.252 * * [simplify]: Extracting # 7 : cost  0
0.252 * * [simplify]: iteration  0 :  26  enodes  (cost  207 )
0.261 * * [simplify]: Extracting # 0 : cost  0
0.262 * * [simplify]: Extracting # 1 : cost  0
0.262 * * [simplify]: Extracting # 2 : cost  0
0.262 * * [simplify]: iteration  1 :  38  enodes  (cost  180 )
0.271 * * [simplify]: Extracting # 0 : cost  0
0.271 * * [simplify]: Extracting # 1 : cost  0
0.272 * * [simplify]: Extracting # 2 : cost  0
0.272 * * [simplify]: Extracting # 3 : cost  0
0.272 * * [simplify]: iteration  2 :  52  enodes  (cost  172 )
0.287 * * [simplify]: Extracting # 0 : cost  0
0.287 * * [simplify]: Extracting # 1 : cost  0
0.287 * * [simplify]: Extracting # 2 : cost  0
0.287 * * [simplify]: Extracting # 3 : cost  0
0.287 * * [simplify]: iteration  3 :  85  enodes  (cost  172 )
0.306 * * [simplify]: Extracting # 0 : cost  0
0.306 * * [simplify]: Extracting # 1 : cost  0
0.306 * * [simplify]: Extracting # 2 : cost  0
0.306 * * [simplify]: Extracting # 3 : cost  0
0.306 * * [simplify]: iteration  4 :  144  enodes  (cost  172 )
0.373 * * [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
0.375 * * [simplify]: Extracting # 4 : cost  0
0.375 * * [simplify]: iteration  5 :  239  enodes  (cost  172 )
0.462 * * [simplify]: Extracting # 0 : cost  0
0.462 * * [simplify]: Extracting # 1 : cost  0
0.462 * * [simplify]: Extracting # 2 : cost  0
0.463 * * [simplify]: Extracting # 3 : cost  0
0.463 * * [simplify]: Extracting # 4 : cost  0
0.464 * * [simplify]: iteration  6 :  312  enodes  (cost  172 )
0.579 * * [simplify]: Extracting # 0 : cost  0
0.580 * * [simplify]: Extracting # 1 : cost  0
0.580 * * [simplify]: Extracting # 2 : cost  0
0.580 * * [simplify]: Extracting # 3 : cost  0
0.581 * * [simplify]: Extracting # 4 : cost  0
0.581 * * [simplify]: iteration  7 :  490  enodes  (cost  172 )
0.781 * * [simplify]: Extracting # 0 : cost  0
0.782 * * [simplify]: Extracting # 1 : cost  0
0.783 * * [simplify]: Extracting # 2 : cost  0
0.783 * * [simplify]: Extracting # 3 : cost  0
0.784 * * [simplify]: iteration  8 :  1166  enodes  (cost  172 )
2.107 * * [simplify]: Extracting # 0 : cost  0
2.123 * * [simplify]: Extracting # 1 : cost  0
2.134 * * [simplify]: Extracting # 2 : cost  0
2.143 * * [simplify]: Extracting # 3 : cost  0
2.152 * * [simplify]: Extracting # 4 : cost  0
2.162 * * [simplify]: iteration done:  5000  enodes  (cost  172 )
2.162 * [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)))))
  y
  z
  (- z)
2.162 * * * [progress]: adding candidates to table
2.252 * * [progress]: iteration 2 / 4
2.252 * * * [progress]: picking best candidate
2.261 * * * * [pick]: Picked  #<alt (λ (x y z) (* (* (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)))))))>
2.261 * * * [progress]: localizing error
2.294 * * * [progress]: generating rewritten candidates
2.295 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
2.298 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
2.313 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
2.314 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
2.317 * * * [progress]: generating series expansions
2.318 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
2.318 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
2.318 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
2.318 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
2.318 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
2.318 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.318 * [taylor]: Taking taylor expansion of (* z z) in y
2.318 * [taylor]: Taking taylor expansion of z in y
2.318 * [backup-simplify]: Simplify z into z
2.318 * [taylor]: Taking taylor expansion of z in y
2.318 * [backup-simplify]: Simplify z into z
2.318 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.318 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.318 * [taylor]: Taking taylor expansion of (* x x) in y
2.318 * [taylor]: Taking taylor expansion of x in y
2.318 * [backup-simplify]: Simplify x into x
2.318 * [taylor]: Taking taylor expansion of x in y
2.318 * [backup-simplify]: Simplify x into x
2.318 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.318 * [taylor]: Taking taylor expansion of y in y
2.318 * [backup-simplify]: Simplify 0 into 0
2.318 * [backup-simplify]: Simplify 1 into 1
2.319 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.319 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.319 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.319 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
2.319 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.319 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.319 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.320 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.321 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
2.321 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
2.321 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.321 * [taylor]: Taking taylor expansion of (* z z) in x
2.321 * [taylor]: Taking taylor expansion of z in x
2.321 * [backup-simplify]: Simplify z into z
2.321 * [taylor]: Taking taylor expansion of z in x
2.321 * [backup-simplify]: Simplify z into z
2.321 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.321 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.321 * [taylor]: Taking taylor expansion of (* x x) in x
2.321 * [taylor]: Taking taylor expansion of x in x
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [taylor]: Taking taylor expansion of x in x
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.322 * [taylor]: Taking taylor expansion of y in x
2.322 * [backup-simplify]: Simplify y into y
2.322 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.322 * [backup-simplify]: Simplify (* 0 0) into 0
2.322 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.322 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.322 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
2.322 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.323 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.323 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.323 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.323 * [backup-simplify]: Simplify (+ 0 0) into 0
2.324 * [backup-simplify]: Simplify (+ 0 0) into 0
2.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.324 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
2.324 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
2.324 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.324 * [taylor]: Taking taylor expansion of (* z z) in z
2.324 * [taylor]: Taking taylor expansion of z in z
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 1 into 1
2.324 * [taylor]: Taking taylor expansion of z in z
2.324 * [backup-simplify]: Simplify 0 into 0
2.324 * [backup-simplify]: Simplify 1 into 1
2.324 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.324 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.324 * [taylor]: Taking taylor expansion of (* x x) in z
2.325 * [taylor]: Taking taylor expansion of x in z
2.325 * [backup-simplify]: Simplify x into x
2.325 * [taylor]: Taking taylor expansion of x in z
2.325 * [backup-simplify]: Simplify x into x
2.325 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.325 * [taylor]: Taking taylor expansion of y in z
2.325 * [backup-simplify]: Simplify y into y
2.325 * [backup-simplify]: Simplify (* 0 0) into 0
2.325 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.325 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.325 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.325 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
2.326 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.326 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.326 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.326 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.327 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [backup-simplify]: Simplify (+ 0 0) into 0
2.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.327 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
2.327 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
2.327 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.327 * [taylor]: Taking taylor expansion of (* z z) in z
2.327 * [taylor]: Taking taylor expansion of z in z
2.327 * [backup-simplify]: Simplify 0 into 0
2.327 * [backup-simplify]: Simplify 1 into 1
2.327 * [taylor]: Taking taylor expansion of z in z
2.327 * [backup-simplify]: Simplify 0 into 0
2.327 * [backup-simplify]: Simplify 1 into 1
2.327 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.327 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.327 * [taylor]: Taking taylor expansion of (* x x) in z
2.328 * [taylor]: Taking taylor expansion of x in z
2.328 * [backup-simplify]: Simplify x into x
2.328 * [taylor]: Taking taylor expansion of x in z
2.328 * [backup-simplify]: Simplify x into x
2.328 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.328 * [taylor]: Taking taylor expansion of y in z
2.328 * [backup-simplify]: Simplify y into y
2.328 * [backup-simplify]: Simplify (* 0 0) into 0
2.328 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.328 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.328 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.328 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
2.329 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.329 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.329 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.329 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.330 * [backup-simplify]: Simplify (+ 0 0) into 0
2.330 * [backup-simplify]: Simplify (+ 0 0) into 0
2.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.330 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.330 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.330 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.330 * [taylor]: Taking taylor expansion of x in x
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 1 into 1
2.330 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.330 * [taylor]: Taking taylor expansion of y in x
2.330 * [backup-simplify]: Simplify y into y
2.330 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.330 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.331 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.331 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.331 * [backup-simplify]: Simplify (+ 0 0) into 0
2.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.331 * [taylor]: Taking taylor expansion of y in y
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 1 into 1
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [taylor]: Taking taylor expansion of 0 in x
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [taylor]: Taking taylor expansion of 0 in y
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [taylor]: Taking taylor expansion of 0 in y
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify 1 into 1
2.332 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.332 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.333 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.333 * [backup-simplify]: Simplify (+ 0 0) into 0
2.334 * [backup-simplify]: Simplify (+ 1 0) into 1
2.335 * [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)))))
2.335 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
2.335 * [taylor]: Taking taylor expansion of 1/2 in x
2.335 * [backup-simplify]: Simplify 1/2 into 1/2
2.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
2.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
2.335 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.335 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.335 * [taylor]: Taking taylor expansion of x in x
2.335 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify 1 into 1
2.335 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.335 * [taylor]: Taking taylor expansion of y in x
2.335 * [backup-simplify]: Simplify y into y
2.335 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.335 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.336 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
2.336 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.337 * [backup-simplify]: Simplify (+ 0 0) into 0
2.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
2.337 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
2.337 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.337 * [taylor]: Taking taylor expansion of 1/2 in y
2.337 * [backup-simplify]: Simplify 1/2 into 1/2
2.337 * [taylor]: Taking taylor expansion of y in y
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify 1 into 1
2.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [taylor]: Taking taylor expansion of 0 in y
2.339 * [backup-simplify]: Simplify 0 into 0
2.339 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify (* 1 1) into 1
2.340 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.341 * [backup-simplify]: Simplify (+ 1 0) into 1
2.341 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.342 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.342 * [taylor]: Taking taylor expansion of 1/2 in y
2.342 * [backup-simplify]: Simplify 1/2 into 1/2
2.342 * [taylor]: Taking taylor expansion of y in y
2.342 * [backup-simplify]: Simplify 0 into 0
2.342 * [backup-simplify]: Simplify 1 into 1
2.342 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.343 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
2.344 * [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)))))
2.344 * [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
2.344 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
2.344 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
2.345 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.345 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
2.345 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.345 * [taylor]: Taking taylor expansion of z in y
2.345 * [backup-simplify]: Simplify z into z
2.345 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.345 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.345 * [taylor]: Taking taylor expansion of z in y
2.345 * [backup-simplify]: Simplify z into z
2.345 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.345 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.345 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.345 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.345 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.345 * [taylor]: Taking taylor expansion of x in y
2.345 * [backup-simplify]: Simplify x into x
2.345 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.345 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.345 * [taylor]: Taking taylor expansion of x in y
2.345 * [backup-simplify]: Simplify x into x
2.345 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.346 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.346 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.346 * [taylor]: Taking taylor expansion of y in y
2.346 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify 1 into 1
2.346 * [backup-simplify]: Simplify (* 1 1) into 1
2.347 * [backup-simplify]: Simplify (/ 1 1) into 1
2.347 * [backup-simplify]: Simplify (+ 0 1) into 1
2.348 * [backup-simplify]: Simplify (+ 0 1) into 1
2.348 * [backup-simplify]: Simplify (sqrt 1) into 1
2.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.349 * [backup-simplify]: Simplify (+ 0 0) into 0
2.350 * [backup-simplify]: Simplify (+ 0 0) into 0
2.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.350 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
2.350 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
2.350 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.350 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
2.350 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.350 * [taylor]: Taking taylor expansion of z in x
2.350 * [backup-simplify]: Simplify z into z
2.350 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.350 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.351 * [taylor]: Taking taylor expansion of z in x
2.351 * [backup-simplify]: Simplify z into z
2.351 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.351 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.351 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.351 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.351 * [taylor]: Taking taylor expansion of x in x
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 1 into 1
2.351 * [backup-simplify]: Simplify (/ 1 1) into 1
2.351 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.351 * [taylor]: Taking taylor expansion of x in x
2.351 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify 1 into 1
2.352 * [backup-simplify]: Simplify (/ 1 1) into 1
2.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.352 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.352 * [taylor]: Taking taylor expansion of y in x
2.352 * [backup-simplify]: Simplify y into y
2.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.352 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.352 * [backup-simplify]: Simplify (* 1 1) into 1
2.352 * [backup-simplify]: Simplify (+ 1 0) into 1
2.353 * [backup-simplify]: Simplify (+ 0 1) into 1
2.353 * [backup-simplify]: Simplify (sqrt 1) into 1
2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.355 * [backup-simplify]: Simplify (+ 0 0) into 0
2.355 * [backup-simplify]: Simplify (+ 0 0) into 0
2.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.355 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
2.355 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
2.356 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.356 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.356 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.356 * [taylor]: Taking taylor expansion of z in z
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (/ 1 1) into 1
2.356 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.356 * [taylor]: Taking taylor expansion of z in z
2.356 * [backup-simplify]: Simplify 0 into 0
2.356 * [backup-simplify]: Simplify 1 into 1
2.356 * [backup-simplify]: Simplify (/ 1 1) into 1
2.356 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.356 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.356 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.356 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.357 * [taylor]: Taking taylor expansion of x in z
2.357 * [backup-simplify]: Simplify x into x
2.357 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.357 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.357 * [taylor]: Taking taylor expansion of x in z
2.357 * [backup-simplify]: Simplify x into x
2.357 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.357 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.357 * [taylor]: Taking taylor expansion of y in z
2.357 * [backup-simplify]: Simplify y into y
2.357 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.357 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.357 * [backup-simplify]: Simplify (* 1 1) into 1
2.358 * [backup-simplify]: Simplify (+ 1 0) into 1
2.358 * [backup-simplify]: Simplify (sqrt 1) into 1
2.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.359 * [backup-simplify]: Simplify (+ 0 0) into 0
2.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.360 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
2.360 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
2.360 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.360 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.360 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.360 * [taylor]: Taking taylor expansion of z in z
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify 1 into 1
2.360 * [backup-simplify]: Simplify (/ 1 1) into 1
2.360 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.361 * [taylor]: Taking taylor expansion of z in z
2.361 * [backup-simplify]: Simplify 0 into 0
2.361 * [backup-simplify]: Simplify 1 into 1
2.361 * [backup-simplify]: Simplify (/ 1 1) into 1
2.361 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.361 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.361 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.361 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.361 * [taylor]: Taking taylor expansion of x in z
2.361 * [backup-simplify]: Simplify x into x
2.361 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.361 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.361 * [taylor]: Taking taylor expansion of x in z
2.361 * [backup-simplify]: Simplify x into x
2.361 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.361 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.361 * [taylor]: Taking taylor expansion of y in z
2.361 * [backup-simplify]: Simplify y into y
2.361 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.361 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.362 * [backup-simplify]: Simplify (* 1 1) into 1
2.362 * [backup-simplify]: Simplify (+ 1 0) into 1
2.362 * [backup-simplify]: Simplify (sqrt 1) into 1
2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.364 * [backup-simplify]: Simplify (+ 0 0) into 0
2.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.364 * [taylor]: Taking taylor expansion of 1 in x
2.364 * [backup-simplify]: Simplify 1 into 1
2.365 * [taylor]: Taking taylor expansion of 0 in x
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [taylor]: Taking taylor expansion of 1 in y
2.365 * [backup-simplify]: Simplify 1 into 1
2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.366 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.367 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.367 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.368 * [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))))
2.368 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.368 * [taylor]: Taking taylor expansion of 1/2 in x
2.368 * [backup-simplify]: Simplify 1/2 into 1/2
2.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.368 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.368 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.368 * [taylor]: Taking taylor expansion of x in x
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify 1 into 1
2.369 * [backup-simplify]: Simplify (* 1 1) into 1
2.369 * [backup-simplify]: Simplify (/ 1 1) into 1
2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.369 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.369 * [taylor]: Taking taylor expansion of y in x
2.369 * [backup-simplify]: Simplify y into y
2.369 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.370 * [backup-simplify]: Simplify (+ 0 0) into 0
2.371 * [backup-simplify]: Simplify (+ 1 0) into 1
2.371 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.371 * [taylor]: Taking taylor expansion of 0 in y
2.371 * [backup-simplify]: Simplify 0 into 0
2.371 * [taylor]: Taking taylor expansion of 0 in y
2.371 * [backup-simplify]: Simplify 0 into 0
2.372 * [taylor]: Taking taylor expansion of 0 in y
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify 1 into 1
2.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.374 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.374 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.374 * [backup-simplify]: Simplify (+ 0 0) into 0
2.375 * [backup-simplify]: Simplify (+ 0 0) into 0
2.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.375 * [taylor]: Taking taylor expansion of 0 in x
2.375 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.377 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.377 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.377 * [taylor]: Taking taylor expansion of 1/2 in y
2.377 * [backup-simplify]: Simplify 1/2 into 1/2
2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.377 * [taylor]: Taking taylor expansion of y in y
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 1 into 1
2.378 * [backup-simplify]: Simplify (* 1 1) into 1
2.378 * [backup-simplify]: Simplify (/ 1 1) into 1
2.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [taylor]: Taking taylor expansion of 0 in y
2.379 * [backup-simplify]: Simplify 0 into 0
2.379 * [taylor]: Taking taylor expansion of 0 in y
2.379 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.383 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.384 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.385 * [backup-simplify]: Simplify (+ 0 0) into 0
2.385 * [backup-simplify]: Simplify (+ 0 0) into 0
2.387 * [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))))))
2.387 * [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
2.388 * [taylor]: Taking taylor expansion of -1/2 in x
2.388 * [backup-simplify]: Simplify -1/2 into -1/2
2.388 * [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
2.388 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.388 * [taylor]: Taking taylor expansion of 1/2 in x
2.388 * [backup-simplify]: Simplify 1/2 into 1/2
2.388 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.388 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.388 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.388 * [taylor]: Taking taylor expansion of x in x
2.388 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify 1 into 1
2.388 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.388 * [taylor]: Taking taylor expansion of y in x
2.388 * [backup-simplify]: Simplify y into y
2.388 * [backup-simplify]: Simplify (* 1 1) into 1
2.388 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.389 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.389 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.389 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.389 * [taylor]: Taking taylor expansion of 1/4 in x
2.389 * [backup-simplify]: Simplify 1/4 into 1/4
2.389 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.389 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.389 * [taylor]: Taking taylor expansion of x in x
2.389 * [backup-simplify]: Simplify 0 into 0
2.389 * [backup-simplify]: Simplify 1 into 1
2.390 * [backup-simplify]: Simplify (* 1 1) into 1
2.390 * [backup-simplify]: Simplify (* 1 1) into 1
2.390 * [backup-simplify]: Simplify (/ 1 1) into 1
2.391 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.391 * [taylor]: Taking taylor expansion of 1/4 in x
2.391 * [backup-simplify]: Simplify 1/4 into 1/4
2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.391 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.391 * [taylor]: Taking taylor expansion of y in x
2.391 * [backup-simplify]: Simplify y into y
2.391 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.391 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.391 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.391 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.394 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.404 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.405 * [backup-simplify]: Simplify (+ 0 0) into 0
2.405 * [backup-simplify]: Simplify (+ 0 0) into 0
2.406 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.407 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.407 * [backup-simplify]: Simplify (+ 0 0) into 0
2.407 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.408 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.409 * [backup-simplify]: Simplify (+ 0 0) into 0
2.409 * [backup-simplify]: Simplify (+ 0 0) into 0
2.410 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.410 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.411 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.412 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.412 * [taylor]: Taking taylor expansion of 0 in y
2.412 * [backup-simplify]: Simplify 0 into 0
2.412 * [taylor]: Taking taylor expansion of 0 in y
2.412 * [backup-simplify]: Simplify 0 into 0
2.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.415 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.416 * [backup-simplify]: Simplify (+ 0 0) into 0
2.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.417 * [taylor]: Taking taylor expansion of 0 in y
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [taylor]: Taking taylor expansion of 0 in y
2.417 * [backup-simplify]: Simplify 0 into 0
2.417 * [taylor]: Taking taylor expansion of 0 in y
2.417 * [backup-simplify]: Simplify 0 into 0
2.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
2.421 * [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)))))
2.421 * [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
2.421 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
2.422 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
2.422 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.422 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
2.422 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.422 * [taylor]: Taking taylor expansion of -1 in y
2.422 * [backup-simplify]: Simplify -1 into -1
2.422 * [taylor]: Taking taylor expansion of z in y
2.422 * [backup-simplify]: Simplify z into z
2.422 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.422 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.422 * [taylor]: Taking taylor expansion of -1 in y
2.422 * [backup-simplify]: Simplify -1 into -1
2.422 * [taylor]: Taking taylor expansion of z in y
2.422 * [backup-simplify]: Simplify z into z
2.422 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.422 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.422 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.422 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.423 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.423 * [taylor]: Taking taylor expansion of -1 in y
2.423 * [backup-simplify]: Simplify -1 into -1
2.423 * [taylor]: Taking taylor expansion of x in y
2.423 * [backup-simplify]: Simplify x into x
2.423 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.423 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.423 * [taylor]: Taking taylor expansion of -1 in y
2.423 * [backup-simplify]: Simplify -1 into -1
2.423 * [taylor]: Taking taylor expansion of x in y
2.423 * [backup-simplify]: Simplify x into x
2.423 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.423 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.423 * [taylor]: Taking taylor expansion of y in y
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify 1 into 1
2.424 * [backup-simplify]: Simplify (* 1 1) into 1
2.424 * [backup-simplify]: Simplify (/ 1 1) into 1
2.425 * [backup-simplify]: Simplify (+ 0 1) into 1
2.425 * [backup-simplify]: Simplify (+ 0 1) into 1
2.426 * [backup-simplify]: Simplify (sqrt 1) into 1
2.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.428 * [backup-simplify]: Simplify (+ 0 0) into 0
2.428 * [backup-simplify]: Simplify (+ 0 0) into 0
2.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.429 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
2.429 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
2.429 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.429 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
2.430 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.430 * [taylor]: Taking taylor expansion of -1 in x
2.430 * [backup-simplify]: Simplify -1 into -1
2.430 * [taylor]: Taking taylor expansion of z in x
2.430 * [backup-simplify]: Simplify z into z
2.430 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.430 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.430 * [taylor]: Taking taylor expansion of -1 in x
2.430 * [backup-simplify]: Simplify -1 into -1
2.430 * [taylor]: Taking taylor expansion of z in x
2.430 * [backup-simplify]: Simplify z into z
2.430 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.430 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.430 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.430 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.430 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.430 * [taylor]: Taking taylor expansion of -1 in x
2.430 * [backup-simplify]: Simplify -1 into -1
2.430 * [taylor]: Taking taylor expansion of x in x
2.430 * [backup-simplify]: Simplify 0 into 0
2.430 * [backup-simplify]: Simplify 1 into 1
2.431 * [backup-simplify]: Simplify (/ -1 1) into -1
2.431 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.431 * [taylor]: Taking taylor expansion of -1 in x
2.431 * [backup-simplify]: Simplify -1 into -1
2.431 * [taylor]: Taking taylor expansion of x in x
2.431 * [backup-simplify]: Simplify 0 into 0
2.431 * [backup-simplify]: Simplify 1 into 1
2.432 * [backup-simplify]: Simplify (/ -1 1) into -1
2.432 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.432 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.432 * [taylor]: Taking taylor expansion of y in x
2.432 * [backup-simplify]: Simplify y into y
2.432 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.432 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.433 * [backup-simplify]: Simplify (* -1 -1) into 1
2.433 * [backup-simplify]: Simplify (+ 1 0) into 1
2.434 * [backup-simplify]: Simplify (+ 0 1) into 1
2.434 * [backup-simplify]: Simplify (sqrt 1) into 1
2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.437 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.437 * [backup-simplify]: Simplify (+ 0 0) into 0
2.438 * [backup-simplify]: Simplify (+ 0 0) into 0
2.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.438 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
2.438 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
2.439 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.439 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.439 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.439 * [taylor]: Taking taylor expansion of -1 in z
2.439 * [backup-simplify]: Simplify -1 into -1
2.439 * [taylor]: Taking taylor expansion of z in z
2.439 * [backup-simplify]: Simplify 0 into 0
2.439 * [backup-simplify]: Simplify 1 into 1
2.440 * [backup-simplify]: Simplify (/ -1 1) into -1
2.440 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.440 * [taylor]: Taking taylor expansion of -1 in z
2.440 * [backup-simplify]: Simplify -1 into -1
2.440 * [taylor]: Taking taylor expansion of z in z
2.440 * [backup-simplify]: Simplify 0 into 0
2.440 * [backup-simplify]: Simplify 1 into 1
2.440 * [backup-simplify]: Simplify (/ -1 1) into -1
2.440 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.441 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.441 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.441 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.441 * [taylor]: Taking taylor expansion of -1 in z
2.441 * [backup-simplify]: Simplify -1 into -1
2.441 * [taylor]: Taking taylor expansion of x in z
2.441 * [backup-simplify]: Simplify x into x
2.441 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.441 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.441 * [taylor]: Taking taylor expansion of -1 in z
2.441 * [backup-simplify]: Simplify -1 into -1
2.441 * [taylor]: Taking taylor expansion of x in z
2.441 * [backup-simplify]: Simplify x into x
2.441 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.441 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.441 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.441 * [taylor]: Taking taylor expansion of y in z
2.441 * [backup-simplify]: Simplify y into y
2.441 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.441 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.442 * [backup-simplify]: Simplify (* -1 -1) into 1
2.443 * [backup-simplify]: Simplify (+ 1 0) into 1
2.443 * [backup-simplify]: Simplify (sqrt 1) into 1
2.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.446 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.446 * [backup-simplify]: Simplify (+ 0 0) into 0
2.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.448 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
2.448 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
2.448 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.448 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.448 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.448 * [taylor]: Taking taylor expansion of -1 in z
2.448 * [backup-simplify]: Simplify -1 into -1
2.448 * [taylor]: Taking taylor expansion of z in z
2.448 * [backup-simplify]: Simplify 0 into 0
2.448 * [backup-simplify]: Simplify 1 into 1
2.449 * [backup-simplify]: Simplify (/ -1 1) into -1
2.449 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.449 * [taylor]: Taking taylor expansion of -1 in z
2.449 * [backup-simplify]: Simplify -1 into -1
2.449 * [taylor]: Taking taylor expansion of z in z
2.449 * [backup-simplify]: Simplify 0 into 0
2.449 * [backup-simplify]: Simplify 1 into 1
2.449 * [backup-simplify]: Simplify (/ -1 1) into -1
2.449 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.450 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.450 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.450 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.450 * [taylor]: Taking taylor expansion of -1 in z
2.450 * [backup-simplify]: Simplify -1 into -1
2.450 * [taylor]: Taking taylor expansion of x in z
2.450 * [backup-simplify]: Simplify x into x
2.450 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.450 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.450 * [taylor]: Taking taylor expansion of -1 in z
2.450 * [backup-simplify]: Simplify -1 into -1
2.450 * [taylor]: Taking taylor expansion of x in z
2.450 * [backup-simplify]: Simplify x into x
2.450 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.450 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.450 * [taylor]: Taking taylor expansion of y in z
2.450 * [backup-simplify]: Simplify y into y
2.450 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.451 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.451 * [backup-simplify]: Simplify (* -1 -1) into 1
2.452 * [backup-simplify]: Simplify (+ 1 0) into 1
2.452 * [backup-simplify]: Simplify (sqrt 1) into 1
2.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.463 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.463 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.464 * [backup-simplify]: Simplify (+ 0 0) into 0
2.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.465 * [taylor]: Taking taylor expansion of 1 in x
2.465 * [backup-simplify]: Simplify 1 into 1
2.465 * [taylor]: Taking taylor expansion of 0 in x
2.465 * [backup-simplify]: Simplify 0 into 0
2.465 * [taylor]: Taking taylor expansion of 1 in y
2.465 * [backup-simplify]: Simplify 1 into 1
2.467 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.469 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.469 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.469 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.470 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.472 * [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))))
2.472 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.472 * [taylor]: Taking taylor expansion of 1/2 in x
2.472 * [backup-simplify]: Simplify 1/2 into 1/2
2.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.473 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.473 * [taylor]: Taking taylor expansion of x in x
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.473 * [backup-simplify]: Simplify (* 1 1) into 1
2.474 * [backup-simplify]: Simplify (/ 1 1) into 1
2.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.474 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.474 * [taylor]: Taking taylor expansion of y in x
2.474 * [backup-simplify]: Simplify y into y
2.474 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.474 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.476 * [backup-simplify]: Simplify (+ 0 0) into 0
2.477 * [backup-simplify]: Simplify (+ 1 0) into 1
2.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.478 * [taylor]: Taking taylor expansion of 0 in y
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [taylor]: Taking taylor expansion of 0 in y
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [taylor]: Taking taylor expansion of 0 in y
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.482 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.482 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.482 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.482 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.483 * [backup-simplify]: Simplify (+ 0 0) into 0
2.484 * [backup-simplify]: Simplify (+ 0 0) into 0
2.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.485 * [taylor]: Taking taylor expansion of 0 in x
2.485 * [backup-simplify]: Simplify 0 into 0
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.488 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.489 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.489 * [taylor]: Taking taylor expansion of 1/2 in y
2.489 * [backup-simplify]: Simplify 1/2 into 1/2
2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.489 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.489 * [taylor]: Taking taylor expansion of y in y
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify 1 into 1
2.489 * [backup-simplify]: Simplify (* 1 1) into 1
2.490 * [backup-simplify]: Simplify (/ 1 1) into 1
2.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [taylor]: Taking taylor expansion of 0 in y
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [taylor]: Taking taylor expansion of 0 in y
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.495 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.496 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.496 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.497 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.497 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
2.498 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.499 * [backup-simplify]: Simplify (+ 0 0) into 0
2.499 * [backup-simplify]: Simplify (+ 0 0) into 0
2.501 * [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))))))
2.501 * [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
2.502 * [taylor]: Taking taylor expansion of -1/2 in x
2.502 * [backup-simplify]: Simplify -1/2 into -1/2
2.502 * [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
2.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.502 * [taylor]: Taking taylor expansion of 1/2 in x
2.502 * [backup-simplify]: Simplify 1/2 into 1/2
2.502 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.502 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.502 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.502 * [taylor]: Taking taylor expansion of x in x
2.502 * [backup-simplify]: Simplify 0 into 0
2.502 * [backup-simplify]: Simplify 1 into 1
2.502 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.502 * [taylor]: Taking taylor expansion of y in x
2.502 * [backup-simplify]: Simplify y into y
2.503 * [backup-simplify]: Simplify (* 1 1) into 1
2.503 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.503 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.503 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.503 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.503 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.503 * [taylor]: Taking taylor expansion of 1/4 in x
2.503 * [backup-simplify]: Simplify 1/4 into 1/4
2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.503 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.503 * [taylor]: Taking taylor expansion of x in x
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.504 * [backup-simplify]: Simplify (* 1 1) into 1
2.504 * [backup-simplify]: Simplify (* 1 1) into 1
2.505 * [backup-simplify]: Simplify (/ 1 1) into 1
2.505 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.505 * [taylor]: Taking taylor expansion of 1/4 in x
2.505 * [backup-simplify]: Simplify 1/4 into 1/4
2.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.505 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.505 * [taylor]: Taking taylor expansion of y in x
2.505 * [backup-simplify]: Simplify y into y
2.505 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.505 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.506 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.508 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.515 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.518 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [backup-simplify]: Simplify (+ 0 0) into 0
2.519 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.521 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.521 * [backup-simplify]: Simplify (+ 0 0) into 0
2.522 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.522 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.523 * [backup-simplify]: Simplify (+ 0 0) into 0
2.523 * [backup-simplify]: Simplify (+ 0 0) into 0
2.524 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.524 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.525 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.526 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.526 * [taylor]: Taking taylor expansion of 0 in y
2.526 * [backup-simplify]: Simplify 0 into 0
2.527 * [taylor]: Taking taylor expansion of 0 in y
2.527 * [backup-simplify]: Simplify 0 into 0
2.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.529 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.530 * [backup-simplify]: Simplify (+ 0 0) into 0
2.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.532 * [taylor]: Taking taylor expansion of 0 in y
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [taylor]: Taking taylor expansion of 0 in y
2.532 * [backup-simplify]: Simplify 0 into 0
2.532 * [taylor]: Taking taylor expansion of 0 in y
2.532 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.535 * [backup-simplify]: Simplify 0 into 0
2.536 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
2.536 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
2.536 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
2.536 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
2.536 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
2.536 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
2.536 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.536 * [taylor]: Taking taylor expansion of (* z z) in y
2.537 * [taylor]: Taking taylor expansion of z in y
2.537 * [backup-simplify]: Simplify z into z
2.537 * [taylor]: Taking taylor expansion of z in y
2.537 * [backup-simplify]: Simplify z into z
2.537 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.537 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.537 * [taylor]: Taking taylor expansion of (* x x) in y
2.537 * [taylor]: Taking taylor expansion of x in y
2.537 * [backup-simplify]: Simplify x into x
2.537 * [taylor]: Taking taylor expansion of x in y
2.537 * [backup-simplify]: Simplify x into x
2.537 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.537 * [taylor]: Taking taylor expansion of y in y
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [backup-simplify]: Simplify 1 into 1
2.537 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.537 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.537 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.537 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
2.537 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.537 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.538 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.538 * [backup-simplify]: Simplify (+ 0 0) into 0
2.538 * [backup-simplify]: Simplify (+ 0 0) into 0
2.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.539 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
2.539 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
2.539 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.539 * [taylor]: Taking taylor expansion of (* z z) in x
2.539 * [taylor]: Taking taylor expansion of z in x
2.539 * [backup-simplify]: Simplify z into z
2.539 * [taylor]: Taking taylor expansion of z in x
2.539 * [backup-simplify]: Simplify z into z
2.539 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.539 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.539 * [taylor]: Taking taylor expansion of (* x x) in x
2.539 * [taylor]: Taking taylor expansion of x in x
2.539 * [backup-simplify]: Simplify 0 into 0
2.539 * [backup-simplify]: Simplify 1 into 1
2.539 * [taylor]: Taking taylor expansion of x in x
2.539 * [backup-simplify]: Simplify 0 into 0
2.539 * [backup-simplify]: Simplify 1 into 1
2.539 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.539 * [taylor]: Taking taylor expansion of y in x
2.539 * [backup-simplify]: Simplify y into y
2.539 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.540 * [backup-simplify]: Simplify (* 0 0) into 0
2.540 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.540 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.540 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
2.540 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.540 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.541 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.541 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.541 * [backup-simplify]: Simplify (+ 0 0) into 0
2.541 * [backup-simplify]: Simplify (+ 0 0) into 0
2.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.542 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
2.542 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
2.542 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.542 * [taylor]: Taking taylor expansion of (* z z) in z
2.542 * [taylor]: Taking taylor expansion of z in z
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [taylor]: Taking taylor expansion of z in z
2.542 * [backup-simplify]: Simplify 0 into 0
2.542 * [backup-simplify]: Simplify 1 into 1
2.542 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.542 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.542 * [taylor]: Taking taylor expansion of (* x x) in z
2.542 * [taylor]: Taking taylor expansion of x in z
2.542 * [backup-simplify]: Simplify x into x
2.542 * [taylor]: Taking taylor expansion of x in z
2.542 * [backup-simplify]: Simplify x into x
2.542 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.542 * [taylor]: Taking taylor expansion of y in z
2.542 * [backup-simplify]: Simplify y into y
2.542 * [backup-simplify]: Simplify (* 0 0) into 0
2.543 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.543 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.543 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.543 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
2.543 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.544 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.544 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.544 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.544 * [backup-simplify]: Simplify (+ 0 0) into 0
2.544 * [backup-simplify]: Simplify (+ 0 0) into 0
2.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.545 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
2.545 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
2.545 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.545 * [taylor]: Taking taylor expansion of (* z z) in z
2.545 * [taylor]: Taking taylor expansion of z in z
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [taylor]: Taking taylor expansion of z in z
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.545 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.545 * [taylor]: Taking taylor expansion of (* x x) in z
2.545 * [taylor]: Taking taylor expansion of x in z
2.545 * [backup-simplify]: Simplify x into x
2.545 * [taylor]: Taking taylor expansion of x in z
2.545 * [backup-simplify]: Simplify x into x
2.545 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.545 * [taylor]: Taking taylor expansion of y in z
2.545 * [backup-simplify]: Simplify y into y
2.545 * [backup-simplify]: Simplify (* 0 0) into 0
2.546 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.546 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.546 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.546 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
2.546 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.547 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.547 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.547 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.547 * [backup-simplify]: Simplify (+ 0 0) into 0
2.547 * [backup-simplify]: Simplify (+ 0 0) into 0
2.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.548 * [taylor]: Taking taylor expansion of x in x
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.548 * [taylor]: Taking taylor expansion of y in x
2.548 * [backup-simplify]: Simplify y into y
2.548 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.548 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.548 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.548 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.548 * [backup-simplify]: Simplify (+ 0 0) into 0
2.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.549 * [taylor]: Taking taylor expansion of y in y
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 1 into 1
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [taylor]: Taking taylor expansion of 0 in x
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [taylor]: Taking taylor expansion of 0 in y
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [taylor]: Taking taylor expansion of 0 in y
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 0 into 0
2.549 * [backup-simplify]: Simplify 1 into 1
2.549 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.550 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.550 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.550 * [backup-simplify]: Simplify (+ 0 0) into 0
2.551 * [backup-simplify]: Simplify (+ 1 0) into 1
2.551 * [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)))))
2.551 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
2.551 * [taylor]: Taking taylor expansion of 1/2 in x
2.551 * [backup-simplify]: Simplify 1/2 into 1/2
2.551 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
2.551 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
2.551 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.551 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.552 * [taylor]: Taking taylor expansion of x in x
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 1 into 1
2.552 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.552 * [taylor]: Taking taylor expansion of y in x
2.552 * [backup-simplify]: Simplify y into y
2.552 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.552 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.552 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.552 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
2.552 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.552 * [backup-simplify]: Simplify (+ 0 0) into 0
2.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
2.553 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
2.553 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.553 * [taylor]: Taking taylor expansion of 1/2 in y
2.553 * [backup-simplify]: Simplify 1/2 into 1/2
2.553 * [taylor]: Taking taylor expansion of y in y
2.553 * [backup-simplify]: Simplify 0 into 0
2.553 * [backup-simplify]: Simplify 1 into 1
2.553 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [taylor]: Taking taylor expansion of 0 in y
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify 0 into 0
2.554 * [backup-simplify]: Simplify (* 1 1) into 1
2.555 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.555 * [backup-simplify]: Simplify (+ 1 0) into 1
2.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.556 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.556 * [taylor]: Taking taylor expansion of 1/2 in y
2.556 * [backup-simplify]: Simplify 1/2 into 1/2
2.556 * [taylor]: Taking taylor expansion of y in y
2.556 * [backup-simplify]: Simplify 0 into 0
2.556 * [backup-simplify]: Simplify 1 into 1
2.556 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.556 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.556 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
2.557 * [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)))))
2.557 * [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
2.557 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
2.557 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
2.557 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.557 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
2.557 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.557 * [taylor]: Taking taylor expansion of z in y
2.557 * [backup-simplify]: Simplify z into z
2.558 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.558 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.558 * [taylor]: Taking taylor expansion of z in y
2.558 * [backup-simplify]: Simplify z into z
2.558 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.558 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.558 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.558 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.558 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.558 * [taylor]: Taking taylor expansion of x in y
2.558 * [backup-simplify]: Simplify x into x
2.558 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.558 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.558 * [taylor]: Taking taylor expansion of x in y
2.558 * [backup-simplify]: Simplify x into x
2.558 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.558 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.558 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.558 * [taylor]: Taking taylor expansion of y in y
2.558 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify 1 into 1
2.558 * [backup-simplify]: Simplify (* 1 1) into 1
2.559 * [backup-simplify]: Simplify (/ 1 1) into 1
2.559 * [backup-simplify]: Simplify (+ 0 1) into 1
2.559 * [backup-simplify]: Simplify (+ 0 1) into 1
2.560 * [backup-simplify]: Simplify (sqrt 1) into 1
2.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.561 * [backup-simplify]: Simplify (+ 0 0) into 0
2.562 * [backup-simplify]: Simplify (+ 0 0) into 0
2.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.562 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
2.562 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
2.563 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.563 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
2.563 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.563 * [taylor]: Taking taylor expansion of z in x
2.563 * [backup-simplify]: Simplify z into z
2.563 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.563 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.563 * [taylor]: Taking taylor expansion of z in x
2.563 * [backup-simplify]: Simplify z into z
2.563 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.563 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.563 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.563 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.563 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.563 * [taylor]: Taking taylor expansion of x in x
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.564 * [backup-simplify]: Simplify (/ 1 1) into 1
2.564 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.564 * [taylor]: Taking taylor expansion of x in x
2.564 * [backup-simplify]: Simplify 0 into 0
2.564 * [backup-simplify]: Simplify 1 into 1
2.565 * [backup-simplify]: Simplify (/ 1 1) into 1
2.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.565 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.565 * [taylor]: Taking taylor expansion of y in x
2.565 * [backup-simplify]: Simplify y into y
2.565 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.565 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.566 * [backup-simplify]: Simplify (* 1 1) into 1
2.566 * [backup-simplify]: Simplify (+ 1 0) into 1
2.567 * [backup-simplify]: Simplify (+ 0 1) into 1
2.567 * [backup-simplify]: Simplify (sqrt 1) into 1
2.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.570 * [backup-simplify]: Simplify (+ 0 0) into 0
2.570 * [backup-simplify]: Simplify (+ 0 0) into 0
2.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.571 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
2.571 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
2.571 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.571 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.572 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.572 * [taylor]: Taking taylor expansion of z in z
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.572 * [backup-simplify]: Simplify (/ 1 1) into 1
2.572 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.572 * [taylor]: Taking taylor expansion of z in z
2.572 * [backup-simplify]: Simplify 0 into 0
2.572 * [backup-simplify]: Simplify 1 into 1
2.573 * [backup-simplify]: Simplify (/ 1 1) into 1
2.573 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.573 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.573 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.573 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.573 * [taylor]: Taking taylor expansion of x in z
2.573 * [backup-simplify]: Simplify x into x
2.573 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.573 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.573 * [taylor]: Taking taylor expansion of x in z
2.573 * [backup-simplify]: Simplify x into x
2.573 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.573 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.573 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.573 * [taylor]: Taking taylor expansion of y in z
2.573 * [backup-simplify]: Simplify y into y
2.574 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.574 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.574 * [backup-simplify]: Simplify (* 1 1) into 1
2.575 * [backup-simplify]: Simplify (+ 1 0) into 1
2.575 * [backup-simplify]: Simplify (sqrt 1) into 1
2.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.578 * [backup-simplify]: Simplify (+ 0 0) into 0
2.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.579 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
2.579 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
2.579 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.579 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.579 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.579 * [taylor]: Taking taylor expansion of z in z
2.579 * [backup-simplify]: Simplify 0 into 0
2.579 * [backup-simplify]: Simplify 1 into 1
2.580 * [backup-simplify]: Simplify (/ 1 1) into 1
2.580 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.580 * [taylor]: Taking taylor expansion of z in z
2.580 * [backup-simplify]: Simplify 0 into 0
2.580 * [backup-simplify]: Simplify 1 into 1
2.580 * [backup-simplify]: Simplify (/ 1 1) into 1
2.580 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.580 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.580 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.580 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.581 * [taylor]: Taking taylor expansion of x in z
2.581 * [backup-simplify]: Simplify x into x
2.581 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.581 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.581 * [taylor]: Taking taylor expansion of x in z
2.581 * [backup-simplify]: Simplify x into x
2.581 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.581 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.581 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.581 * [taylor]: Taking taylor expansion of y in z
2.581 * [backup-simplify]: Simplify y into y
2.581 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.581 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.581 * [backup-simplify]: Simplify (* 1 1) into 1
2.582 * [backup-simplify]: Simplify (+ 1 0) into 1
2.582 * [backup-simplify]: Simplify (sqrt 1) into 1
2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.584 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.584 * [backup-simplify]: Simplify (+ 0 0) into 0
2.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.584 * [taylor]: Taking taylor expansion of 1 in x
2.584 * [backup-simplify]: Simplify 1 into 1
2.584 * [taylor]: Taking taylor expansion of 0 in x
2.584 * [backup-simplify]: Simplify 0 into 0
2.585 * [taylor]: Taking taylor expansion of 1 in y
2.585 * [backup-simplify]: Simplify 1 into 1
2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.586 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.587 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.587 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.588 * [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))))
2.588 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.588 * [taylor]: Taking taylor expansion of 1/2 in x
2.588 * [backup-simplify]: Simplify 1/2 into 1/2
2.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.588 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.588 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.588 * [taylor]: Taking taylor expansion of x in x
2.588 * [backup-simplify]: Simplify 0 into 0
2.588 * [backup-simplify]: Simplify 1 into 1
2.589 * [backup-simplify]: Simplify (* 1 1) into 1
2.589 * [backup-simplify]: Simplify (/ 1 1) into 1
2.589 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.589 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.589 * [taylor]: Taking taylor expansion of y in x
2.589 * [backup-simplify]: Simplify y into y
2.589 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.589 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.590 * [backup-simplify]: Simplify (+ 0 0) into 0
2.591 * [backup-simplify]: Simplify (+ 1 0) into 1
2.591 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.591 * [taylor]: Taking taylor expansion of 0 in y
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [taylor]: Taking taylor expansion of 0 in y
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [taylor]: Taking taylor expansion of 0 in y
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 1 into 1
2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 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 x) (/ 0 x)))) into 0
2.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.594 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.594 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.594 * [backup-simplify]: Simplify (+ 0 0) into 0
2.595 * [backup-simplify]: Simplify (+ 0 0) into 0
2.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.595 * [taylor]: Taking taylor expansion of 0 in x
2.595 * [backup-simplify]: Simplify 0 into 0
2.596 * [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 (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.597 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.597 * [taylor]: Taking taylor expansion of 1/2 in y
2.597 * [backup-simplify]: Simplify 1/2 into 1/2
2.597 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.597 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.597 * [taylor]: Taking taylor expansion of y in y
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.598 * [backup-simplify]: Simplify (* 1 1) into 1
2.598 * [backup-simplify]: Simplify (/ 1 1) into 1
2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [taylor]: Taking taylor expansion of 0 in y
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [taylor]: Taking taylor expansion of 0 in y
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.602 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.603 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.603 * [backup-simplify]: Simplify (+ 0 0) into 0
2.604 * [backup-simplify]: Simplify (+ 0 0) into 0
2.605 * [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))))))
2.605 * [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
2.605 * [taylor]: Taking taylor expansion of -1/2 in x
2.605 * [backup-simplify]: Simplify -1/2 into -1/2
2.605 * [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
2.605 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.605 * [taylor]: Taking taylor expansion of 1/2 in x
2.605 * [backup-simplify]: Simplify 1/2 into 1/2
2.605 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.605 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.605 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.605 * [taylor]: Taking taylor expansion of x in x
2.605 * [backup-simplify]: Simplify 0 into 0
2.605 * [backup-simplify]: Simplify 1 into 1
2.605 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.605 * [taylor]: Taking taylor expansion of y in x
2.605 * [backup-simplify]: Simplify y into y
2.605 * [backup-simplify]: Simplify (* 1 1) into 1
2.606 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.606 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.606 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.606 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.606 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.606 * [taylor]: Taking taylor expansion of 1/4 in x
2.606 * [backup-simplify]: Simplify 1/4 into 1/4
2.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.606 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.606 * [taylor]: Taking taylor expansion of x in x
2.606 * [backup-simplify]: Simplify 0 into 0
2.606 * [backup-simplify]: Simplify 1 into 1
2.606 * [backup-simplify]: Simplify (* 1 1) into 1
2.607 * [backup-simplify]: Simplify (* 1 1) into 1
2.607 * [backup-simplify]: Simplify (/ 1 1) into 1
2.607 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.607 * [taylor]: Taking taylor expansion of 1/4 in x
2.607 * [backup-simplify]: Simplify 1/4 into 1/4
2.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.607 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.607 * [taylor]: Taking taylor expansion of y in x
2.607 * [backup-simplify]: Simplify y into y
2.607 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.607 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.607 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.607 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.609 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.616 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.624 * [backup-simplify]: Simplify (+ 0 0) into 0
2.624 * [backup-simplify]: Simplify (+ 0 0) into 0
2.625 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.627 * [backup-simplify]: Simplify (+ 0 0) into 0
2.627 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.628 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.628 * [backup-simplify]: Simplify (+ 0 0) into 0
2.629 * [backup-simplify]: Simplify (+ 0 0) into 0
2.629 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.630 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.630 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.632 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.632 * [taylor]: Taking taylor expansion of 0 in y
2.632 * [backup-simplify]: Simplify 0 into 0
2.632 * [taylor]: Taking taylor expansion of 0 in y
2.632 * [backup-simplify]: Simplify 0 into 0
2.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.635 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.636 * [backup-simplify]: Simplify (+ 0 0) into 0
2.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.637 * [taylor]: Taking taylor expansion of 0 in y
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [taylor]: Taking taylor expansion of 0 in y
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [taylor]: Taking taylor expansion of 0 in y
2.637 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.641 * [backup-simplify]: Simplify 0 into 0
2.641 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
2.641 * [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)))))
2.641 * [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
2.641 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
2.642 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
2.642 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.642 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
2.642 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.642 * [taylor]: Taking taylor expansion of -1 in y
2.642 * [backup-simplify]: Simplify -1 into -1
2.642 * [taylor]: Taking taylor expansion of z in y
2.642 * [backup-simplify]: Simplify z into z
2.642 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.642 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.642 * [taylor]: Taking taylor expansion of -1 in y
2.642 * [backup-simplify]: Simplify -1 into -1
2.642 * [taylor]: Taking taylor expansion of z in y
2.642 * [backup-simplify]: Simplify z into z
2.642 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.642 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.643 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.643 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.643 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.643 * [taylor]: Taking taylor expansion of -1 in y
2.643 * [backup-simplify]: Simplify -1 into -1
2.643 * [taylor]: Taking taylor expansion of x in y
2.643 * [backup-simplify]: Simplify x into x
2.643 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.643 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.643 * [taylor]: Taking taylor expansion of -1 in y
2.643 * [backup-simplify]: Simplify -1 into -1
2.643 * [taylor]: Taking taylor expansion of x in y
2.643 * [backup-simplify]: Simplify x into x
2.643 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
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
2.644 * [backup-simplify]: Simplify (* 1 1) into 1
2.644 * [backup-simplify]: Simplify (/ 1 1) into 1
2.645 * [backup-simplify]: Simplify (+ 0 1) into 1
2.645 * [backup-simplify]: Simplify (+ 0 1) into 1
2.645 * [backup-simplify]: Simplify (sqrt 1) into 1
2.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.646 * [backup-simplify]: Simplify (+ 0 0) into 0
2.647 * [backup-simplify]: Simplify (+ 0 0) into 0
2.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.647 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
2.647 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
2.647 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.647 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
2.647 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.647 * [taylor]: Taking taylor expansion of -1 in x
2.647 * [backup-simplify]: Simplify -1 into -1
2.647 * [taylor]: Taking taylor expansion of z in x
2.647 * [backup-simplify]: Simplify z into z
2.647 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.647 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.647 * [taylor]: Taking taylor expansion of -1 in x
2.648 * [backup-simplify]: Simplify -1 into -1
2.648 * [taylor]: Taking taylor expansion of z in x
2.648 * [backup-simplify]: Simplify z into z
2.648 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.648 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.648 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.648 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.648 * [taylor]: Taking taylor expansion of -1 in x
2.648 * [backup-simplify]: Simplify -1 into -1
2.648 * [taylor]: Taking taylor expansion of x in x
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.648 * [backup-simplify]: Simplify (/ -1 1) into -1
2.648 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.648 * [taylor]: Taking taylor expansion of -1 in x
2.648 * [backup-simplify]: Simplify -1 into -1
2.648 * [taylor]: Taking taylor expansion of x in x
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.649 * [backup-simplify]: Simplify (/ -1 1) into -1
2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
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 (* y y) into (pow y 2)
2.649 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.649 * [backup-simplify]: Simplify (* -1 -1) into 1
2.650 * [backup-simplify]: Simplify (+ 1 0) into 1
2.650 * [backup-simplify]: Simplify (+ 0 1) into 1
2.650 * [backup-simplify]: Simplify (sqrt 1) into 1
2.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.651 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.652 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.652 * [backup-simplify]: Simplify (+ 0 0) into 0
2.652 * [backup-simplify]: Simplify (+ 0 0) into 0
2.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.653 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
2.653 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
2.653 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.653 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.653 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.653 * [taylor]: Taking taylor expansion of -1 in z
2.653 * [backup-simplify]: Simplify -1 into -1
2.653 * [taylor]: Taking taylor expansion of z in z
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 1 into 1
2.653 * [backup-simplify]: Simplify (/ -1 1) into -1
2.653 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.653 * [taylor]: Taking taylor expansion of -1 in z
2.653 * [backup-simplify]: Simplify -1 into -1
2.653 * [taylor]: Taking taylor expansion of z in z
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 1 into 1
2.654 * [backup-simplify]: Simplify (/ -1 1) into -1
2.654 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.654 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.654 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.654 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.654 * [taylor]: Taking taylor expansion of -1 in z
2.654 * [backup-simplify]: Simplify -1 into -1
2.654 * [taylor]: Taking taylor expansion of x in z
2.654 * [backup-simplify]: Simplify x into x
2.654 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.654 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.654 * [taylor]: Taking taylor expansion of -1 in z
2.654 * [backup-simplify]: Simplify -1 into -1
2.654 * [taylor]: Taking taylor expansion of x in z
2.654 * [backup-simplify]: Simplify x into x
2.654 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.654 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.654 * [taylor]: Taking taylor expansion of y in z
2.654 * [backup-simplify]: Simplify y into y
2.654 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.655 * [backup-simplify]: Simplify (* -1 -1) into 1
2.655 * [backup-simplify]: Simplify (+ 1 0) into 1
2.655 * [backup-simplify]: Simplify (sqrt 1) into 1
2.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.657 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.657 * [backup-simplify]: Simplify (+ 0 0) into 0
2.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.658 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
2.658 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
2.658 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.658 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.658 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.658 * [taylor]: Taking taylor expansion of -1 in z
2.658 * [backup-simplify]: Simplify -1 into -1
2.658 * [taylor]: Taking taylor expansion of z in z
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify 1 into 1
2.658 * [backup-simplify]: Simplify (/ -1 1) into -1
2.658 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.658 * [taylor]: Taking taylor expansion of -1 in z
2.658 * [backup-simplify]: Simplify -1 into -1
2.658 * [taylor]: Taking taylor expansion of z in z
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [backup-simplify]: Simplify 1 into 1
2.659 * [backup-simplify]: Simplify (/ -1 1) into -1
2.659 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.659 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.659 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.659 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.659 * [taylor]: Taking taylor expansion of -1 in z
2.659 * [backup-simplify]: Simplify -1 into -1
2.659 * [taylor]: Taking taylor expansion of x in z
2.659 * [backup-simplify]: Simplify x into x
2.659 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.659 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.659 * [taylor]: Taking taylor expansion of -1 in z
2.659 * [backup-simplify]: Simplify -1 into -1
2.659 * [taylor]: Taking taylor expansion of x in z
2.659 * [backup-simplify]: Simplify x into x
2.659 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.659 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.659 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.659 * [taylor]: Taking taylor expansion of y in z
2.659 * [backup-simplify]: Simplify y into y
2.659 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.659 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.660 * [backup-simplify]: Simplify (* -1 -1) into 1
2.660 * [backup-simplify]: Simplify (+ 1 0) into 1
2.660 * [backup-simplify]: Simplify (sqrt 1) into 1
2.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.662 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.662 * [backup-simplify]: Simplify (+ 0 0) into 0
2.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.663 * [taylor]: Taking taylor expansion of 1 in x
2.663 * [backup-simplify]: Simplify 1 into 1
2.663 * [taylor]: Taking taylor expansion of 0 in x
2.663 * [backup-simplify]: Simplify 0 into 0
2.663 * [taylor]: Taking taylor expansion of 1 in y
2.663 * [backup-simplify]: Simplify 1 into 1
2.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.665 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.665 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.665 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.666 * [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))))
2.666 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.666 * [taylor]: Taking taylor expansion of 1/2 in x
2.666 * [backup-simplify]: Simplify 1/2 into 1/2
2.666 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.666 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.666 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.666 * [taylor]: Taking taylor expansion of x in x
2.666 * [backup-simplify]: Simplify 0 into 0
2.666 * [backup-simplify]: Simplify 1 into 1
2.667 * [backup-simplify]: Simplify (* 1 1) into 1
2.667 * [backup-simplify]: Simplify (/ 1 1) into 1
2.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.667 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.667 * [taylor]: Taking taylor expansion of y in x
2.667 * [backup-simplify]: Simplify y into y
2.667 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.667 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.668 * [backup-simplify]: Simplify (+ 0 0) into 0
2.669 * [backup-simplify]: Simplify (+ 1 0) into 1
2.669 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.669 * [taylor]: Taking taylor expansion of 0 in y
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [taylor]: Taking taylor expansion of 0 in y
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [taylor]: Taking taylor expansion of 0 in y
2.669 * [backup-simplify]: Simplify 0 into 0
2.669 * [backup-simplify]: Simplify 1 into 1
2.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.671 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.671 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.672 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.672 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.672 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.672 * [backup-simplify]: Simplify (+ 0 0) into 0
2.673 * [backup-simplify]: Simplify (+ 0 0) into 0
2.673 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.673 * [taylor]: Taking taylor expansion of 0 in x
2.673 * [backup-simplify]: Simplify 0 into 0
2.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.675 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.675 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.675 * [taylor]: Taking taylor expansion of 1/2 in y
2.675 * [backup-simplify]: Simplify 1/2 into 1/2
2.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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
2.676 * [backup-simplify]: Simplify (* 1 1) into 1
2.676 * [backup-simplify]: Simplify (/ 1 1) into 1
2.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.677 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [taylor]: Taking taylor expansion of 0 in y
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [taylor]: Taking taylor expansion of 0 in y
2.677 * [backup-simplify]: Simplify 0 into 0
2.677 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify 0 into 0
2.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.679 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.680 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.680 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.680 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.680 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
2.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.681 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.681 * [backup-simplify]: Simplify (+ 0 0) into 0
2.681 * [backup-simplify]: Simplify (+ 0 0) into 0
2.682 * [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))))))
2.682 * [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
2.682 * [taylor]: Taking taylor expansion of -1/2 in x
2.682 * [backup-simplify]: Simplify -1/2 into -1/2
2.682 * [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
2.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.683 * [taylor]: Taking taylor expansion of 1/2 in x
2.683 * [backup-simplify]: Simplify 1/2 into 1/2
2.683 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.683 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.683 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.683 * [taylor]: Taking taylor expansion of x in x
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [backup-simplify]: Simplify 1 into 1
2.683 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.683 * [taylor]: Taking taylor expansion of y in x
2.683 * [backup-simplify]: Simplify y into y
2.683 * [backup-simplify]: Simplify (* 1 1) into 1
2.683 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.683 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.683 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.683 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.683 * [taylor]: Taking taylor expansion of 1/4 in x
2.683 * [backup-simplify]: Simplify 1/4 into 1/4
2.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.683 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.683 * [taylor]: Taking taylor expansion of x in x
2.683 * [backup-simplify]: Simplify 0 into 0
2.683 * [backup-simplify]: Simplify 1 into 1
2.684 * [backup-simplify]: Simplify (* 1 1) into 1
2.684 * [backup-simplify]: Simplify (* 1 1) into 1
2.684 * [backup-simplify]: Simplify (/ 1 1) into 1
2.684 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.684 * [taylor]: Taking taylor expansion of 1/4 in x
2.684 * [backup-simplify]: Simplify 1/4 into 1/4
2.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.684 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.684 * [taylor]: Taking taylor expansion of y in x
2.684 * [backup-simplify]: Simplify y into y
2.684 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.684 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.685 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.685 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.688 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.691 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.691 * [backup-simplify]: Simplify (+ 0 0) into 0
2.691 * [backup-simplify]: Simplify (+ 0 0) into 0
2.692 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.692 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.693 * [backup-simplify]: Simplify (+ 0 0) into 0
2.693 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.694 * [backup-simplify]: Simplify (+ 0 0) into 0
2.694 * [backup-simplify]: Simplify (+ 0 0) into 0
2.694 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.694 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.695 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.696 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.696 * [taylor]: Taking taylor expansion of 0 in y
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [taylor]: Taking taylor expansion of 0 in y
2.696 * [backup-simplify]: Simplify 0 into 0
2.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.697 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.697 * [backup-simplify]: Simplify (+ 0 0) into 0
2.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.698 * [taylor]: Taking taylor expansion of 0 in y
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [taylor]: Taking taylor expansion of 0 in y
2.698 * [backup-simplify]: Simplify 0 into 0
2.698 * [taylor]: Taking taylor expansion of 0 in y
2.698 * [backup-simplify]: Simplify 0 into 0
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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.700 * [backup-simplify]: Simplify 0 into 0
2.700 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
2.700 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
2.701 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
2.701 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
2.701 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
2.701 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
2.701 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.701 * [taylor]: Taking taylor expansion of (* z z) in y
2.701 * [taylor]: Taking taylor expansion of z in y
2.701 * [backup-simplify]: Simplify z into z
2.701 * [taylor]: Taking taylor expansion of z in y
2.701 * [backup-simplify]: Simplify z into z
2.701 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.701 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.701 * [taylor]: Taking taylor expansion of (* x x) in y
2.701 * [taylor]: Taking taylor expansion of x in y
2.701 * [backup-simplify]: Simplify x into x
2.701 * [taylor]: Taking taylor expansion of x in y
2.701 * [backup-simplify]: Simplify x into x
2.701 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.701 * [taylor]: Taking taylor expansion of y in y
2.701 * [backup-simplify]: Simplify 0 into 0
2.701 * [backup-simplify]: Simplify 1 into 1
2.701 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.701 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.702 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.702 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
2.702 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.702 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.702 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.702 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (+ 0 0) into 0
2.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.703 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
2.703 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
2.703 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.703 * [taylor]: Taking taylor expansion of (* z z) in x
2.703 * [taylor]: Taking taylor expansion of z in x
2.703 * [backup-simplify]: Simplify z into z
2.703 * [taylor]: Taking taylor expansion of z in x
2.703 * [backup-simplify]: Simplify z into z
2.703 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.703 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.703 * [taylor]: Taking taylor expansion of (* x x) in x
2.703 * [taylor]: Taking taylor expansion of x in x
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 1 into 1
2.703 * [taylor]: Taking taylor expansion of x in x
2.703 * [backup-simplify]: Simplify 0 into 0
2.703 * [backup-simplify]: Simplify 1 into 1
2.703 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.703 * [taylor]: Taking taylor expansion of y in x
2.704 * [backup-simplify]: Simplify y into y
2.704 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.704 * [backup-simplify]: Simplify (* 0 0) into 0
2.704 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.704 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.704 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
2.704 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.704 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.705 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.705 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.705 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.706 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
2.706 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
2.706 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.706 * [taylor]: Taking taylor expansion of (* z z) in z
2.706 * [taylor]: Taking taylor expansion of z in z
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [taylor]: Taking taylor expansion of z in z
2.706 * [backup-simplify]: Simplify 0 into 0
2.706 * [backup-simplify]: Simplify 1 into 1
2.706 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.706 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.706 * [taylor]: Taking taylor expansion of (* x x) in z
2.706 * [taylor]: Taking taylor expansion of x in z
2.706 * [backup-simplify]: Simplify x into x
2.706 * [taylor]: Taking taylor expansion of x in z
2.706 * [backup-simplify]: Simplify x into x
2.706 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.706 * [taylor]: Taking taylor expansion of y in z
2.706 * [backup-simplify]: Simplify y into y
2.707 * [backup-simplify]: Simplify (* 0 0) into 0
2.707 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.707 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.707 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.707 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
2.707 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.708 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.708 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.708 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.708 * [backup-simplify]: Simplify (+ 0 0) into 0
2.709 * [backup-simplify]: Simplify (+ 0 0) into 0
2.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.709 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
2.709 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
2.709 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.709 * [taylor]: Taking taylor expansion of (* z z) in z
2.709 * [taylor]: Taking taylor expansion of z in z
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [taylor]: Taking taylor expansion of z in z
2.709 * [backup-simplify]: Simplify 0 into 0
2.709 * [backup-simplify]: Simplify 1 into 1
2.709 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.709 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.709 * [taylor]: Taking taylor expansion of (* x x) in z
2.709 * [taylor]: Taking taylor expansion of x in z
2.709 * [backup-simplify]: Simplify x into x
2.709 * [taylor]: Taking taylor expansion of x in z
2.709 * [backup-simplify]: Simplify x into x
2.709 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.709 * [taylor]: Taking taylor expansion of y in z
2.709 * [backup-simplify]: Simplify y into y
2.710 * [backup-simplify]: Simplify (* 0 0) into 0
2.710 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.710 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.710 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.710 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
2.710 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.711 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.711 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.711 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.711 * [backup-simplify]: Simplify (+ 0 0) into 0
2.712 * [backup-simplify]: Simplify (+ 0 0) into 0
2.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.712 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.712 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.712 * [taylor]: Taking taylor expansion of (pow x 2) in x
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 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.712 * [taylor]: Taking taylor expansion of y in x
2.712 * [backup-simplify]: Simplify y into y
2.712 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.712 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.712 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.712 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.713 * [backup-simplify]: Simplify (+ 0 0) into 0
2.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.713 * [taylor]: Taking taylor expansion of y in y
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 1 into 1
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [taylor]: Taking taylor expansion of 0 in x
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [taylor]: Taking taylor expansion of 0 in y
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [taylor]: Taking taylor expansion of 0 in y
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify 1 into 1
2.714 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.714 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.714 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.715 * [backup-simplify]: Simplify (+ 0 0) into 0
2.715 * [backup-simplify]: Simplify (+ 1 0) into 1
2.716 * [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)))))
2.716 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
2.716 * [taylor]: Taking taylor expansion of 1/2 in x
2.716 * [backup-simplify]: Simplify 1/2 into 1/2
2.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
2.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
2.716 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.716 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.716 * [taylor]: Taking taylor expansion of x in x
2.716 * [backup-simplify]: Simplify 0 into 0
2.716 * [backup-simplify]: Simplify 1 into 1
2.716 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.716 * [taylor]: Taking taylor expansion of y in x
2.716 * [backup-simplify]: Simplify y into y
2.716 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.716 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.716 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.716 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
2.716 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.717 * [backup-simplify]: Simplify (+ 0 0) into 0
2.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
2.717 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
2.717 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.717 * [taylor]: Taking taylor expansion of 1/2 in y
2.717 * [backup-simplify]: Simplify 1/2 into 1/2
2.717 * [taylor]: Taking taylor expansion of y in y
2.717 * [backup-simplify]: Simplify 0 into 0
2.717 * [backup-simplify]: Simplify 1 into 1
2.718 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [taylor]: Taking taylor expansion of 0 in y
2.718 * [backup-simplify]: Simplify 0 into 0
2.718 * [backup-simplify]: Simplify 0 into 0
2.719 * [backup-simplify]: Simplify (* 1 1) into 1
2.719 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.719 * [backup-simplify]: Simplify (+ 1 0) into 1
2.720 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.720 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.720 * [taylor]: Taking taylor expansion of 1/2 in y
2.720 * [backup-simplify]: Simplify 1/2 into 1/2
2.720 * [taylor]: Taking taylor expansion of y in y
2.720 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify 1 into 1
2.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.721 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
2.721 * [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)))))
2.721 * [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
2.721 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
2.722 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
2.722 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.722 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
2.722 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.722 * [taylor]: Taking taylor expansion of z in y
2.722 * [backup-simplify]: Simplify z into z
2.722 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.722 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.722 * [taylor]: Taking taylor expansion of z in y
2.722 * [backup-simplify]: Simplify z into z
2.722 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.722 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.722 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.722 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.722 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.722 * [taylor]: Taking taylor expansion of x in y
2.722 * [backup-simplify]: Simplify x into x
2.722 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.722 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.722 * [taylor]: Taking taylor expansion of x in y
2.722 * [backup-simplify]: Simplify x into x
2.722 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.722 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.722 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.722 * [taylor]: Taking taylor expansion of y in y
2.722 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify 1 into 1
2.723 * [backup-simplify]: Simplify (* 1 1) into 1
2.723 * [backup-simplify]: Simplify (/ 1 1) into 1
2.723 * [backup-simplify]: Simplify (+ 0 1) into 1
2.724 * [backup-simplify]: Simplify (+ 0 1) into 1
2.724 * [backup-simplify]: Simplify (sqrt 1) into 1
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 * [backup-simplify]: Simplify (+ 0 0) into 0
2.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.726 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
2.726 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
2.726 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.726 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
2.726 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.726 * [taylor]: Taking taylor expansion of z in x
2.726 * [backup-simplify]: Simplify z into z
2.726 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.726 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.726 * [taylor]: Taking taylor expansion of z in x
2.726 * [backup-simplify]: Simplify z into z
2.726 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.726 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.727 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.727 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.727 * [taylor]: Taking taylor expansion of x in x
2.727 * [backup-simplify]: Simplify 0 into 0
2.727 * [backup-simplify]: Simplify 1 into 1
2.727 * [backup-simplify]: Simplify (/ 1 1) into 1
2.727 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.727 * [taylor]: Taking taylor expansion of x in x
2.727 * [backup-simplify]: Simplify 0 into 0
2.727 * [backup-simplify]: Simplify 1 into 1
2.727 * [backup-simplify]: Simplify (/ 1 1) into 1
2.727 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.727 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.727 * [taylor]: Taking taylor expansion of y in x
2.727 * [backup-simplify]: Simplify y into y
2.727 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.728 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.728 * [backup-simplify]: Simplify (* 1 1) into 1
2.728 * [backup-simplify]: Simplify (+ 1 0) into 1
2.729 * [backup-simplify]: Simplify (+ 0 1) into 1
2.729 * [backup-simplify]: Simplify (sqrt 1) into 1
2.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.730 * [backup-simplify]: Simplify (+ 0 0) into 0
2.731 * [backup-simplify]: Simplify (+ 0 0) into 0
2.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.731 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
2.731 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
2.731 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.731 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.731 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.731 * [taylor]: Taking taylor expansion of z in z
2.731 * [backup-simplify]: Simplify 0 into 0
2.731 * [backup-simplify]: Simplify 1 into 1
2.732 * [backup-simplify]: Simplify (/ 1 1) into 1
2.732 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.732 * [taylor]: Taking taylor expansion of z in z
2.732 * [backup-simplify]: Simplify 0 into 0
2.732 * [backup-simplify]: Simplify 1 into 1
2.738 * [backup-simplify]: Simplify (/ 1 1) into 1
2.738 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.738 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.738 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.738 * [taylor]: Taking taylor expansion of x in z
2.738 * [backup-simplify]: Simplify x into x
2.738 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.738 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.738 * [taylor]: Taking taylor expansion of x in z
2.738 * [backup-simplify]: Simplify x into x
2.738 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.738 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.738 * [taylor]: Taking taylor expansion of y in z
2.738 * [backup-simplify]: Simplify y into y
2.739 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.739 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.739 * [backup-simplify]: Simplify (* 1 1) into 1
2.740 * [backup-simplify]: Simplify (+ 1 0) into 1
2.740 * [backup-simplify]: Simplify (sqrt 1) into 1
2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.742 * [backup-simplify]: Simplify (+ 0 0) into 0
2.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.742 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
2.742 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
2.742 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.742 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.742 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.742 * [taylor]: Taking taylor expansion of z in z
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 z) in z
2.743 * [taylor]: Taking taylor expansion of z in z
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 (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.744 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.744 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.744 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.744 * [taylor]: Taking taylor expansion of x in z
2.744 * [backup-simplify]: Simplify x into x
2.744 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.744 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.744 * [taylor]: Taking taylor expansion of x in z
2.744 * [backup-simplify]: Simplify x into x
2.744 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.744 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.744 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.744 * [taylor]: Taking taylor expansion of y in z
2.744 * [backup-simplify]: Simplify y into y
2.744 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.744 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.744 * [backup-simplify]: Simplify (* 1 1) into 1
2.745 * [backup-simplify]: Simplify (+ 1 0) into 1
2.745 * [backup-simplify]: Simplify (sqrt 1) into 1
2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.748 * [backup-simplify]: Simplify (+ 0 0) into 0
2.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.749 * [taylor]: Taking taylor expansion of 1 in x
2.749 * [backup-simplify]: Simplify 1 into 1
2.749 * [taylor]: Taking taylor expansion of 0 in x
2.749 * [backup-simplify]: Simplify 0 into 0
2.749 * [taylor]: Taking taylor expansion of 1 in y
2.749 * [backup-simplify]: Simplify 1 into 1
2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.753 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.753 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.754 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.756 * [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))))
2.756 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.756 * [taylor]: Taking taylor expansion of 1/2 in x
2.756 * [backup-simplify]: Simplify 1/2 into 1/2
2.756 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.756 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.756 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.756 * [taylor]: Taking taylor expansion of x in x
2.756 * [backup-simplify]: Simplify 0 into 0
2.756 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (* 1 1) into 1
2.757 * [backup-simplify]: Simplify (/ 1 1) into 1
2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.757 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.757 * [taylor]: Taking taylor expansion of y in x
2.757 * [backup-simplify]: Simplify y into y
2.757 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.757 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.760 * [backup-simplify]: Simplify (+ 0 0) into 0
2.760 * [backup-simplify]: Simplify (+ 1 0) into 1
2.761 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.761 * [taylor]: Taking taylor expansion of 0 in y
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [taylor]: Taking taylor expansion of 0 in y
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [taylor]: Taking taylor expansion of 0 in y
2.761 * [backup-simplify]: Simplify 0 into 0
2.761 * [backup-simplify]: Simplify 1 into 1
2.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.765 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.766 * [backup-simplify]: Simplify (+ 0 0) into 0
2.766 * [backup-simplify]: Simplify (+ 0 0) into 0
2.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.767 * [taylor]: Taking taylor expansion of 0 in x
2.767 * [backup-simplify]: Simplify 0 into 0
2.768 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.770 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.771 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.771 * [taylor]: Taking taylor expansion of 1/2 in y
2.771 * [backup-simplify]: Simplify 1/2 into 1/2
2.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.771 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.771 * [taylor]: Taking taylor expansion of y in y
2.771 * [backup-simplify]: Simplify 0 into 0
2.771 * [backup-simplify]: Simplify 1 into 1
2.771 * [backup-simplify]: Simplify (* 1 1) into 1
2.772 * [backup-simplify]: Simplify (/ 1 1) into 1
2.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.774 * [backup-simplify]: Simplify 0 into 0
2.774 * [taylor]: Taking taylor expansion of 0 in y
2.774 * [backup-simplify]: Simplify 0 into 0
2.774 * [taylor]: Taking taylor expansion of 0 in y
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.775 * [backup-simplify]: Simplify 0 into 0
2.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.777 * [backup-simplify]: Simplify (- (+ (* 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 (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.779 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.780 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.781 * [backup-simplify]: Simplify (+ 0 0) into 0
2.781 * [backup-simplify]: Simplify (+ 0 0) into 0
2.783 * [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))))))
2.783 * [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
2.783 * [taylor]: Taking taylor expansion of -1/2 in x
2.783 * [backup-simplify]: Simplify -1/2 into -1/2
2.783 * [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
2.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.784 * [taylor]: Taking taylor expansion of 1/2 in x
2.784 * [backup-simplify]: Simplify 1/2 into 1/2
2.784 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.784 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.784 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.784 * [taylor]: Taking taylor expansion of x in x
2.784 * [backup-simplify]: Simplify 0 into 0
2.784 * [backup-simplify]: Simplify 1 into 1
2.784 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.784 * [taylor]: Taking taylor expansion of y in x
2.784 * [backup-simplify]: Simplify y into y
2.784 * [backup-simplify]: Simplify (* 1 1) into 1
2.784 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.785 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.785 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.785 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.785 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.785 * [taylor]: Taking taylor expansion of 1/4 in x
2.785 * [backup-simplify]: Simplify 1/4 into 1/4
2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.785 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.785 * [taylor]: Taking taylor expansion of x in x
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.786 * [backup-simplify]: Simplify (* 1 1) into 1
2.786 * [backup-simplify]: Simplify (* 1 1) into 1
2.786 * [backup-simplify]: Simplify (/ 1 1) into 1
2.787 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.787 * [taylor]: Taking taylor expansion of 1/4 in x
2.787 * [backup-simplify]: Simplify 1/4 into 1/4
2.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.787 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.787 * [taylor]: Taking taylor expansion of y in x
2.787 * [backup-simplify]: Simplify y into y
2.787 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.787 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.787 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.787 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.800 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.801 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [backup-simplify]: Simplify (+ 0 0) into 0
2.801 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.803 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.803 * [backup-simplify]: Simplify (+ 0 0) into 0
2.803 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.804 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.804 * [backup-simplify]: Simplify (+ 0 0) into 0
2.805 * [backup-simplify]: Simplify (+ 0 0) into 0
2.805 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.806 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.806 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.807 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.808 * [taylor]: Taking taylor expansion of 0 in y
2.808 * [backup-simplify]: Simplify 0 into 0
2.808 * [taylor]: Taking taylor expansion of 0 in y
2.808 * [backup-simplify]: Simplify 0 into 0
2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.810 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.811 * [backup-simplify]: Simplify (+ 0 0) into 0
2.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.813 * [taylor]: Taking taylor expansion of 0 in y
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [taylor]: Taking taylor expansion of 0 in y
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [taylor]: Taking taylor expansion of 0 in y
2.813 * [backup-simplify]: Simplify 0 into 0
2.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.816 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
2.817 * [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)))))
2.817 * [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
2.817 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
2.817 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
2.818 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.818 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
2.818 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.818 * [taylor]: Taking taylor expansion of -1 in y
2.818 * [backup-simplify]: Simplify -1 into -1
2.818 * [taylor]: Taking taylor expansion of z in y
2.818 * [backup-simplify]: Simplify z into z
2.818 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.818 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.818 * [taylor]: Taking taylor expansion of -1 in y
2.818 * [backup-simplify]: Simplify -1 into -1
2.818 * [taylor]: Taking taylor expansion of z in y
2.818 * [backup-simplify]: Simplify z into z
2.818 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.818 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.819 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.819 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.819 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.819 * [taylor]: Taking taylor expansion of -1 in y
2.819 * [backup-simplify]: Simplify -1 into -1
2.819 * [taylor]: Taking taylor expansion of x in y
2.819 * [backup-simplify]: Simplify x into x
2.819 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.819 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.819 * [taylor]: Taking taylor expansion of -1 in y
2.819 * [backup-simplify]: Simplify -1 into -1
2.819 * [taylor]: Taking taylor expansion of x in y
2.819 * [backup-simplify]: Simplify x into x
2.819 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.819 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.819 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.819 * [taylor]: Taking taylor expansion of y in y
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 1 into 1
2.820 * [backup-simplify]: Simplify (* 1 1) into 1
2.820 * [backup-simplify]: Simplify (/ 1 1) into 1
2.821 * [backup-simplify]: Simplify (+ 0 1) into 1
2.821 * [backup-simplify]: Simplify (+ 0 1) into 1
2.822 * [backup-simplify]: Simplify (sqrt 1) into 1
2.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.824 * [backup-simplify]: Simplify (+ 0 0) into 0
2.824 * [backup-simplify]: Simplify (+ 0 0) into 0
2.825 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.825 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
2.825 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
2.825 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.825 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
2.825 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.826 * [taylor]: Taking taylor expansion of -1 in x
2.826 * [backup-simplify]: Simplify -1 into -1
2.826 * [taylor]: Taking taylor expansion of z in x
2.826 * [backup-simplify]: Simplify z into z
2.826 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.826 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.826 * [taylor]: Taking taylor expansion of -1 in x
2.826 * [backup-simplify]: Simplify -1 into -1
2.826 * [taylor]: Taking taylor expansion of z in x
2.826 * [backup-simplify]: Simplify z into z
2.826 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.826 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.826 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.826 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.826 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.826 * [taylor]: Taking taylor expansion of -1 in x
2.826 * [backup-simplify]: Simplify -1 into -1
2.826 * [taylor]: Taking taylor expansion of x in x
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify 1 into 1
2.827 * [backup-simplify]: Simplify (/ -1 1) into -1
2.827 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.827 * [taylor]: Taking taylor expansion of -1 in x
2.827 * [backup-simplify]: Simplify -1 into -1
2.827 * [taylor]: Taking taylor expansion of x in x
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 1 into 1
2.828 * [backup-simplify]: Simplify (/ -1 1) into -1
2.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.828 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.828 * [taylor]: Taking taylor expansion of y in x
2.828 * [backup-simplify]: Simplify y into y
2.828 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.828 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.829 * [backup-simplify]: Simplify (* -1 -1) into 1
2.829 * [backup-simplify]: Simplify (+ 1 0) into 1
2.830 * [backup-simplify]: Simplify (+ 0 1) into 1
2.830 * [backup-simplify]: Simplify (sqrt 1) into 1
2.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.832 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.833 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.833 * [backup-simplify]: Simplify (+ 0 0) into 0
2.834 * [backup-simplify]: Simplify (+ 0 0) into 0
2.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.834 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
2.835 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
2.835 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.835 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.835 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.835 * [taylor]: Taking taylor expansion of -1 in z
2.835 * [backup-simplify]: Simplify -1 into -1
2.835 * [taylor]: Taking taylor expansion of z in z
2.835 * [backup-simplify]: Simplify 0 into 0
2.835 * [backup-simplify]: Simplify 1 into 1
2.836 * [backup-simplify]: Simplify (/ -1 1) into -1
2.836 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.836 * [taylor]: Taking taylor expansion of -1 in z
2.836 * [backup-simplify]: Simplify -1 into -1
2.836 * [taylor]: Taking taylor expansion of z in z
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [backup-simplify]: Simplify (/ -1 1) into -1
2.836 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.837 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.837 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.837 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.837 * [taylor]: Taking taylor expansion of -1 in z
2.837 * [backup-simplify]: Simplify -1 into -1
2.837 * [taylor]: Taking taylor expansion of x in z
2.837 * [backup-simplify]: Simplify x into x
2.837 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.837 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.837 * [taylor]: Taking taylor expansion of -1 in z
2.837 * [backup-simplify]: Simplify -1 into -1
2.837 * [taylor]: Taking taylor expansion of x in z
2.837 * [backup-simplify]: Simplify x into x
2.837 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.837 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.837 * [taylor]: Taking taylor expansion of y in z
2.837 * [backup-simplify]: Simplify y into y
2.837 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.837 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.838 * [backup-simplify]: Simplify (* -1 -1) into 1
2.838 * [backup-simplify]: Simplify (+ 1 0) into 1
2.839 * [backup-simplify]: Simplify (sqrt 1) into 1
2.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.841 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.842 * [backup-simplify]: Simplify (+ 0 0) into 0
2.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.842 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
2.842 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
2.843 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.843 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.843 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.843 * [taylor]: Taking taylor expansion of -1 in z
2.843 * [backup-simplify]: Simplify -1 into -1
2.843 * [taylor]: Taking taylor expansion of z in z
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 1 into 1
2.843 * [backup-simplify]: Simplify (/ -1 1) into -1
2.843 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.843 * [taylor]: Taking taylor expansion of -1 in z
2.844 * [backup-simplify]: Simplify -1 into -1
2.844 * [taylor]: Taking taylor expansion of z in z
2.844 * [backup-simplify]: Simplify 0 into 0
2.844 * [backup-simplify]: Simplify 1 into 1
2.845 * [backup-simplify]: Simplify (/ -1 1) into -1
2.845 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.845 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.845 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.845 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.845 * [taylor]: Taking taylor expansion of -1 in z
2.845 * [backup-simplify]: Simplify -1 into -1
2.845 * [taylor]: Taking taylor expansion of x in z
2.845 * [backup-simplify]: Simplify x into x
2.845 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.845 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.845 * [taylor]: Taking taylor expansion of -1 in z
2.845 * [backup-simplify]: Simplify -1 into -1
2.845 * [taylor]: Taking taylor expansion of x in z
2.845 * [backup-simplify]: Simplify x into x
2.845 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.845 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.845 * [taylor]: Taking taylor expansion of y in z
2.845 * [backup-simplify]: Simplify y into y
2.846 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.846 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.846 * [backup-simplify]: Simplify (* -1 -1) into 1
2.847 * [backup-simplify]: Simplify (+ 1 0) into 1
2.847 * [backup-simplify]: Simplify (sqrt 1) into 1
2.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.849 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.850 * [backup-simplify]: Simplify (+ 0 0) into 0
2.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.851 * [taylor]: Taking taylor expansion of 1 in x
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [taylor]: Taking taylor expansion of 0 in x
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [taylor]: Taking taylor expansion of 1 in y
2.851 * [backup-simplify]: Simplify 1 into 1
2.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.854 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.854 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.855 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.855 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.857 * [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))))
2.857 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.857 * [taylor]: Taking taylor expansion of 1/2 in x
2.857 * [backup-simplify]: Simplify 1/2 into 1/2
2.857 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.857 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.857 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.857 * [taylor]: Taking taylor expansion of x in x
2.857 * [backup-simplify]: Simplify 0 into 0
2.857 * [backup-simplify]: Simplify 1 into 1
2.858 * [backup-simplify]: Simplify (* 1 1) into 1
2.858 * [backup-simplify]: Simplify (/ 1 1) into 1
2.858 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.858 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.858 * [taylor]: Taking taylor expansion of y in x
2.858 * [backup-simplify]: Simplify y into y
2.858 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.859 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.861 * [backup-simplify]: Simplify (+ 0 0) into 0
2.861 * [backup-simplify]: Simplify (+ 1 0) into 1
2.862 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.862 * [taylor]: Taking taylor expansion of 0 in y
2.862 * [backup-simplify]: Simplify 0 into 0
2.862 * [taylor]: Taking taylor expansion of 0 in y
2.862 * [backup-simplify]: Simplify 0 into 0
2.862 * [taylor]: Taking taylor expansion of 0 in y
2.862 * [backup-simplify]: Simplify 0 into 0
2.862 * [backup-simplify]: Simplify 1 into 1
2.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.865 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.866 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.866 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.866 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.866 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.867 * [backup-simplify]: Simplify (+ 0 0) into 0
2.868 * [backup-simplify]: Simplify (+ 0 0) into 0
2.869 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.869 * [taylor]: Taking taylor expansion of 0 in x
2.869 * [backup-simplify]: Simplify 0 into 0
2.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.870 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.871 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.871 * [taylor]: Taking taylor expansion of 1/2 in y
2.871 * [backup-simplify]: Simplify 1/2 into 1/2
2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.871 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.871 * [taylor]: Taking taylor expansion of y in y
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [backup-simplify]: Simplify (* 1 1) into 1
2.872 * [backup-simplify]: Simplify (/ 1 1) into 1
2.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [taylor]: Taking taylor expansion of 0 in y
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [taylor]: Taking taylor expansion of 0 in y
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.873 * [backup-simplify]: Simplify 0 into 0
2.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.875 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.876 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.876 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.876 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
2.876 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.877 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.877 * [backup-simplify]: Simplify (+ 0 0) into 0
2.877 * [backup-simplify]: Simplify (+ 0 0) into 0
2.879 * [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))))))
2.879 * [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
2.879 * [taylor]: Taking taylor expansion of -1/2 in x
2.879 * [backup-simplify]: Simplify -1/2 into -1/2
2.879 * [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
2.879 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.879 * [taylor]: Taking taylor expansion of 1/2 in x
2.879 * [backup-simplify]: Simplify 1/2 into 1/2
2.879 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.879 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.879 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.879 * [taylor]: Taking taylor expansion of x in x
2.879 * [backup-simplify]: Simplify 0 into 0
2.879 * [backup-simplify]: Simplify 1 into 1
2.879 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.879 * [taylor]: Taking taylor expansion of y in x
2.879 * [backup-simplify]: Simplify y into y
2.879 * [backup-simplify]: Simplify (* 1 1) into 1
2.879 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.879 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.879 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.880 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.880 * [taylor]: Taking taylor expansion of 1/4 in x
2.880 * [backup-simplify]: Simplify 1/4 into 1/4
2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.880 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.880 * [taylor]: Taking taylor expansion of x in x
2.880 * [backup-simplify]: Simplify 0 into 0
2.880 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (* 1 1) into 1
2.880 * [backup-simplify]: Simplify (* 1 1) into 1
2.880 * [backup-simplify]: Simplify (/ 1 1) into 1
2.880 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.881 * [taylor]: Taking taylor expansion of 1/4 in x
2.881 * [backup-simplify]: Simplify 1/4 into 1/4
2.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.881 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.881 * [taylor]: Taking taylor expansion of y in x
2.881 * [backup-simplify]: Simplify y into y
2.881 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.881 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.881 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.881 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.883 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.886 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.888 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.888 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (+ 0 0) into 0
2.889 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.890 * [backup-simplify]: Simplify (+ 0 0) into 0
2.890 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.891 * [backup-simplify]: Simplify (+ 0 0) into 0
2.891 * [backup-simplify]: Simplify (+ 0 0) into 0
2.891 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.892 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.892 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.893 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.893 * [taylor]: Taking taylor expansion of 0 in y
2.893 * [backup-simplify]: Simplify 0 into 0
2.893 * [taylor]: Taking taylor expansion of 0 in y
2.893 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.901 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.902 * [backup-simplify]: Simplify (+ 0 0) into 0
2.903 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.903 * [taylor]: Taking taylor expansion of 0 in y
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [taylor]: Taking taylor expansion of 0 in y
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [taylor]: Taking taylor expansion of 0 in y
2.904 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.907 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.907 * [backup-simplify]: Simplify 0 into 0
2.907 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
2.907 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.908 * [backup-simplify]: Simplify (cbrt (sqrt (fma z z (fma x x (* y y))))) into (pow (fma z z (fma x x (pow y 2))) 1/6)
2.908 * [approximate]: Taking taylor expansion of (pow (fma z z (fma x x (pow y 2))) 1/6) in (z x y) around 0
2.908 * [taylor]: Taking taylor expansion of (pow (fma z z (fma x x (pow y 2))) 1/6) in y
2.908 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma z z (fma x x (pow y 2)))))) in y
2.908 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma z z (fma x x (pow y 2))))) in y
2.908 * [taylor]: Taking taylor expansion of 1/6 in y
2.908 * [backup-simplify]: Simplify 1/6 into 1/6
2.908 * [taylor]: Taking taylor expansion of (log (fma z z (fma x x (pow y 2)))) in y
2.908 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
2.908 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.908 * [taylor]: Taking taylor expansion of (* z z) in y
2.908 * [taylor]: Taking taylor expansion of z in y
2.908 * [backup-simplify]: Simplify z into z
2.908 * [taylor]: Taking taylor expansion of z in y
2.908 * [backup-simplify]: Simplify z into z
2.909 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.909 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.909 * [taylor]: Taking taylor expansion of (* x x) in y
2.909 * [taylor]: Taking taylor expansion of x in y
2.909 * [backup-simplify]: Simplify x into x
2.909 * [taylor]: Taking taylor expansion of x in y
2.909 * [backup-simplify]: Simplify x into x
2.909 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.909 * [taylor]: Taking taylor expansion of y in y
2.909 * [backup-simplify]: Simplify 0 into 0
2.909 * [backup-simplify]: Simplify 1 into 1
2.909 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.909 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.909 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.910 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
2.910 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2)))
2.910 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow z 2)))) into (* 1/6 (log (+ (pow x 2) (pow z 2))))
2.911 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/6)
2.911 * [taylor]: Taking taylor expansion of (pow (fma z z (fma x x (pow y 2))) 1/6) in x
2.911 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma z z (fma x x (pow y 2)))))) in x
2.911 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma z z (fma x x (pow y 2))))) in x
2.911 * [taylor]: Taking taylor expansion of 1/6 in x
2.911 * [backup-simplify]: Simplify 1/6 into 1/6
2.911 * [taylor]: Taking taylor expansion of (log (fma z z (fma x x (pow y 2)))) in x
2.911 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
2.911 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.911 * [taylor]: Taking taylor expansion of (* z z) in x
2.911 * [taylor]: Taking taylor expansion of z in x
2.911 * [backup-simplify]: Simplify z into z
2.911 * [taylor]: Taking taylor expansion of z in x
2.911 * [backup-simplify]: Simplify z into z
2.911 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.911 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.911 * [taylor]: Taking taylor expansion of (* x x) in x
2.911 * [taylor]: Taking taylor expansion of x in x
2.911 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify 1 into 1
2.911 * [taylor]: Taking taylor expansion of x in x
2.911 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify 1 into 1
2.911 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.912 * [taylor]: Taking taylor expansion of y in x
2.912 * [backup-simplify]: Simplify y into y
2.912 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.912 * [backup-simplify]: Simplify (* 0 0) into 0
2.912 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.913 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.913 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
2.913 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
2.914 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow y 2) (pow z 2)))) into (* 1/6 (log (+ (pow y 2) (pow z 2))))
2.914 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/6)
2.914 * [taylor]: Taking taylor expansion of (pow (fma z z (fma x x (pow y 2))) 1/6) in z
2.914 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma z z (fma x x (pow y 2)))))) in z
2.914 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma z z (fma x x (pow y 2))))) in z
2.914 * [taylor]: Taking taylor expansion of 1/6 in z
2.914 * [backup-simplify]: Simplify 1/6 into 1/6
2.914 * [taylor]: Taking taylor expansion of (log (fma z z (fma x x (pow y 2)))) in z
2.914 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
2.914 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.914 * [taylor]: Taking taylor expansion of (* z z) in z
2.914 * [taylor]: Taking taylor expansion of z in z
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 1 into 1
2.914 * [taylor]: Taking taylor expansion of z in z
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 1 into 1
2.915 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.915 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.915 * [taylor]: Taking taylor expansion of (* x x) in z
2.915 * [taylor]: Taking taylor expansion of x in z
2.915 * [backup-simplify]: Simplify x into x
2.915 * [taylor]: Taking taylor expansion of x in z
2.915 * [backup-simplify]: Simplify x into x
2.915 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.915 * [taylor]: Taking taylor expansion of y in z
2.915 * [backup-simplify]: Simplify y into y
2.916 * [backup-simplify]: Simplify (* 0 0) into 0
2.916 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.916 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.916 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.916 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
2.917 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
2.917 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow y 2)))) into (* 1/6 (log (+ (pow x 2) (pow y 2))))
2.917 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
2.917 * [taylor]: Taking taylor expansion of (pow (fma z z (fma x x (pow y 2))) 1/6) in z
2.917 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma z z (fma x x (pow y 2)))))) in z
2.918 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma z z (fma x x (pow y 2))))) in z
2.918 * [taylor]: Taking taylor expansion of 1/6 in z
2.918 * [backup-simplify]: Simplify 1/6 into 1/6
2.918 * [taylor]: Taking taylor expansion of (log (fma z z (fma x x (pow y 2)))) in z
2.918 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
2.918 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
2.918 * [taylor]: Taking taylor expansion of (* z z) in z
2.918 * [taylor]: Taking taylor expansion of z in z
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [taylor]: Taking taylor expansion of z in z
2.918 * [backup-simplify]: Simplify 0 into 0
2.918 * [backup-simplify]: Simplify 1 into 1
2.918 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.918 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.918 * [taylor]: Taking taylor expansion of (* x x) in z
2.918 * [taylor]: Taking taylor expansion of x in z
2.918 * [backup-simplify]: Simplify x into x
2.918 * [taylor]: Taking taylor expansion of x in z
2.918 * [backup-simplify]: Simplify x into x
2.918 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.918 * [taylor]: Taking taylor expansion of y in z
2.918 * [backup-simplify]: Simplify y into y
2.919 * [backup-simplify]: Simplify (* 0 0) into 0
2.919 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.919 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.920 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.920 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
2.920 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
2.921 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow y 2)))) into (* 1/6 (log (+ (pow x 2) (pow y 2))))
2.921 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
2.921 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in x
2.921 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in x
2.921 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in x
2.921 * [taylor]: Taking taylor expansion of 1/6 in x
2.921 * [backup-simplify]: Simplify 1/6 into 1/6
2.921 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
2.921 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.921 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.921 * [taylor]: Taking taylor expansion of x in x
2.921 * [backup-simplify]: Simplify 0 into 0
2.921 * [backup-simplify]: Simplify 1 into 1
2.921 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.921 * [taylor]: Taking taylor expansion of y in x
2.921 * [backup-simplify]: Simplify y into y
2.922 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.922 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.922 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
2.922 * [backup-simplify]: Simplify (* 1/6 (log (pow y 2))) into (* 1/6 (log (pow y 2)))
2.922 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow y 2)))) into (pow (pow y 2) 1/6)
2.922 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/6) in y
2.922 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow y 2)))) in y
2.922 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow y 2))) in y
2.922 * [taylor]: Taking taylor expansion of 1/6 in y
2.922 * [backup-simplify]: Simplify 1/6 into 1/6
2.922 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y
2.922 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.922 * [taylor]: Taking taylor expansion of y in y
2.922 * [backup-simplify]: Simplify 0 into 0
2.923 * [backup-simplify]: Simplify 1 into 1
2.923 * [backup-simplify]: Simplify (* 1 1) into 1
2.924 * [backup-simplify]: Simplify (log 1) into 0
2.924 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
2.924 * [backup-simplify]: Simplify (* 1/6 (* 2 (log y))) into (* 1/3 (log y))
2.924 * [backup-simplify]: Simplify (exp (* 1/3 (log y))) into (pow y 1/3)
2.925 * [backup-simplify]: Simplify (pow y 1/3) into (pow y 1/3)
2.926 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.926 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.926 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.926 * [backup-simplify]: Simplify (+ 0 0) into 0
2.927 * [backup-simplify]: Simplify (+ 0 0) into 0
2.928 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow x 2) (pow y 2)) 1)))) 1) into 0
2.929 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (+ (pow x 2) (pow y 2))))) into 0
2.930 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.930 * [taylor]: Taking taylor expansion of 0 in x
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [taylor]: Taking taylor expansion of 0 in y
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify 0 into 0
2.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.931 * [backup-simplify]: Simplify (+ 0 0) into 0
2.932 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0
2.933 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow y 2)))) into 0
2.934 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.934 * [taylor]: Taking taylor expansion of 0 in y
2.934 * [backup-simplify]: Simplify 0 into 0
2.934 * [backup-simplify]: Simplify 0 into 0
2.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.937 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
2.938 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log y)))) into 0
2.939 * [backup-simplify]: Simplify (* (exp (* 1/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
2.939 * [backup-simplify]: Simplify 0 into 0
2.940 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.940 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.941 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.941 * [backup-simplify]: Simplify (+ 0 0) into 0
2.942 * [backup-simplify]: Simplify (+ 1 0) into 1
2.944 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow x 2) (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow x 2) (pow y 2)) 1)))) 2) into (/ 1 (+ (pow x 2) (pow y 2)))
2.945 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (+ (pow x 2) (pow y 2)))) (+ (* 0 0) (* 0 (log (+ (pow x 2) (pow y 2)))))) into (* 1/6 (/ 1 (+ (pow x 2) (pow y 2))))
2.947 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (+ (pow x 2) (pow y 2)))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6))
2.947 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6)) in x
2.947 * [taylor]: Taking taylor expansion of 1/6 in x
2.947 * [backup-simplify]: Simplify 1/6 into 1/6
2.947 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6) in x
2.947 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))) in x
2.947 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)))) in x
2.947 * [taylor]: Taking taylor expansion of 1/6 in x
2.947 * [backup-simplify]: Simplify 1/6 into 1/6
2.947 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))) in x
2.947 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) in x
2.947 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 5) in x
2.947 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.947 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.947 * [taylor]: Taking taylor expansion of x in x
2.947 * [backup-simplify]: Simplify 0 into 0
2.947 * [backup-simplify]: Simplify 1 into 1
2.948 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.948 * [taylor]: Taking taylor expansion of y in x
2.948 * [backup-simplify]: Simplify y into y
2.948 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.948 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.948 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.948 * [backup-simplify]: Simplify (* (pow y 4) (pow y 4)) into (pow y 8)
2.948 * [backup-simplify]: Simplify (* (pow y 2) (pow y 8)) into (pow y 10)
2.949 * [backup-simplify]: Simplify (/ 1 (pow y 10)) into (/ 1 (pow y 10))
2.949 * [backup-simplify]: Simplify (log (/ 1 (pow y 10))) into (log (/ 1 (pow y 10)))
2.949 * [backup-simplify]: Simplify (* 1/6 (log (/ 1 (pow y 10)))) into (* 1/6 (log (/ 1 (pow y 10))))
2.949 * [backup-simplify]: Simplify (exp (* 1/6 (log (/ 1 (pow y 10))))) into (pow (/ 1 (pow y 10)) 1/6)
2.949 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow y 10)) 1/6)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
2.950 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y
2.950 * [taylor]: Taking taylor expansion of 1/6 in y
2.950 * [backup-simplify]: Simplify 1/6 into 1/6
2.950 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y
2.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y
2.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y
2.950 * [taylor]: Taking taylor expansion of 1/3 in y
2.950 * [backup-simplify]: Simplify 1/3 into 1/3
2.950 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y
2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y
2.950 * [taylor]: Taking taylor expansion of (pow y 5) in y
2.950 * [taylor]: Taking taylor expansion of y in y
2.950 * [backup-simplify]: Simplify 0 into 0
2.950 * [backup-simplify]: Simplify 1 into 1
2.951 * [backup-simplify]: Simplify (* 1 1) into 1
2.951 * [backup-simplify]: Simplify (* 1 1) into 1
2.951 * [backup-simplify]: Simplify (* 1 1) into 1
2.952 * [backup-simplify]: Simplify (/ 1 1) into 1
2.952 * [backup-simplify]: Simplify (log 1) into 0
2.953 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y)))
2.953 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log y)))) into (* -5/3 (log y))
2.953 * [backup-simplify]: Simplify (exp (* -5/3 (log y))) into (pow y -5/3)
2.953 * [backup-simplify]: Simplify (* 1/6 (pow y -5/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
2.954 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
2.954 * [taylor]: Taking taylor expansion of 0 in y
2.954 * [backup-simplify]: Simplify 0 into 0
2.954 * [backup-simplify]: Simplify 0 into 0
2.955 * [backup-simplify]: Simplify (* 1 1) into 1
2.955 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.956 * [backup-simplify]: Simplify (+ 1 0) into 1
2.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2))
2.959 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/6 (/ 1 (pow y 2)))
2.960 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow y 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
2.961 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) in y
2.961 * [taylor]: Taking taylor expansion of 1/6 in y
2.961 * [backup-simplify]: Simplify 1/6 into 1/6
2.961 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 5)) 1/3) in y
2.961 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 5))))) in y
2.961 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 5)))) in y
2.961 * [taylor]: Taking taylor expansion of 1/3 in y
2.961 * [backup-simplify]: Simplify 1/3 into 1/3
2.961 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 5))) in y
2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y 5)) in y
2.961 * [taylor]: Taking taylor expansion of (pow y 5) in y
2.961 * [taylor]: Taking taylor expansion of y in y
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (* 1 1) into 1
2.962 * [backup-simplify]: Simplify (* 1 1) into 1
2.962 * [backup-simplify]: Simplify (* 1 1) into 1
2.963 * [backup-simplify]: Simplify (/ 1 1) into 1
2.963 * [backup-simplify]: Simplify (log 1) into 0
2.963 * [backup-simplify]: Simplify (+ (* (- 5) (log y)) 0) into (- (* 5 (log y)))
2.964 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log y)))) into (* -5/3 (log y))
2.964 * [backup-simplify]: Simplify (exp (* -5/3 (log y))) into (pow y -5/3)
2.964 * [backup-simplify]: Simplify (* 1/6 (pow y -5/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
2.964 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow y 5)) 1/3))
2.966 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) (pow (* 1 (* x 1)) 2)) (+ (* (* 1/6 (pow (/ 1 (pow y 5)) 1/3)) (pow (* 1 (* 1 z)) 2)) (pow y 1/3))) into (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (+ (* 1/6 (* (pow z 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)))
2.966 * [backup-simplify]: Simplify (cbrt (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))))) into (pow (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 1/6)
2.966 * [approximate]: Taking taylor expansion of (pow (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 1/6) in (z x y) around 0
2.966 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 1/6) in y
2.966 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))))) in y
2.966 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in y
2.966 * [taylor]: Taking taylor expansion of 1/6 in y
2.966 * [backup-simplify]: Simplify 1/6 into 1/6
2.966 * [taylor]: Taking taylor expansion of (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
2.966 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
2.966 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.967 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
2.967 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.967 * [taylor]: Taking taylor expansion of z in y
2.967 * [backup-simplify]: Simplify z into z
2.967 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.967 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.967 * [taylor]: Taking taylor expansion of z in y
2.967 * [backup-simplify]: Simplify z into z
2.967 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.967 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.967 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.967 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.967 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.967 * [taylor]: Taking taylor expansion of x in y
2.967 * [backup-simplify]: Simplify x into x
2.967 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.967 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.967 * [taylor]: Taking taylor expansion of x in y
2.967 * [backup-simplify]: Simplify x into x
2.967 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.967 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.967 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.967 * [taylor]: Taking taylor expansion of y in y
2.967 * [backup-simplify]: Simplify 0 into 0
2.967 * [backup-simplify]: Simplify 1 into 1
2.968 * [backup-simplify]: Simplify (* 1 1) into 1
2.968 * [backup-simplify]: Simplify (/ 1 1) into 1
2.969 * [backup-simplify]: Simplify (+ 0 1) into 1
2.969 * [backup-simplify]: Simplify (+ 0 1) into 1
2.970 * [backup-simplify]: Simplify (log 1) into 0
2.970 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
2.970 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
2.970 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
2.970 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 1/6) in x
2.970 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))))) in x
2.970 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in x
2.971 * [taylor]: Taking taylor expansion of 1/6 in x
2.971 * [backup-simplify]: Simplify 1/6 into 1/6
2.971 * [taylor]: Taking taylor expansion of (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
2.971 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
2.971 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.971 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
2.971 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.971 * [taylor]: Taking taylor expansion of z in x
2.971 * [backup-simplify]: Simplify z into z
2.971 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.971 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.971 * [taylor]: Taking taylor expansion of z in x
2.971 * [backup-simplify]: Simplify z into z
2.971 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.971 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.971 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.971 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.971 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.971 * [taylor]: Taking taylor expansion of x in x
2.971 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify 1 into 1
2.972 * [backup-simplify]: Simplify (/ 1 1) into 1
2.972 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.972 * [taylor]: Taking taylor expansion of x in x
2.972 * [backup-simplify]: Simplify 0 into 0
2.972 * [backup-simplify]: Simplify 1 into 1
2.973 * [backup-simplify]: Simplify (/ 1 1) into 1
2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.973 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.973 * [taylor]: Taking taylor expansion of y in x
2.973 * [backup-simplify]: Simplify y into y
2.973 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.973 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.973 * [backup-simplify]: Simplify (* 1 1) into 1
2.974 * [backup-simplify]: Simplify (+ 1 0) into 1
2.974 * [backup-simplify]: Simplify (+ 0 1) into 1
2.975 * [backup-simplify]: Simplify (log 1) into 0
2.975 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.975 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
2.975 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
2.975 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 1/6) in z
2.975 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))))) in z
2.976 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in z
2.976 * [taylor]: Taking taylor expansion of 1/6 in z
2.976 * [backup-simplify]: Simplify 1/6 into 1/6
2.976 * [taylor]: Taking taylor expansion of (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
2.976 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
2.976 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.976 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.976 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.976 * [taylor]: Taking taylor expansion of z in z
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 1 into 1
2.977 * [backup-simplify]: Simplify (/ 1 1) into 1
2.977 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.977 * [taylor]: Taking taylor expansion of z in z
2.977 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify 1 into 1
2.977 * [backup-simplify]: Simplify (/ 1 1) into 1
2.977 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.977 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.977 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.977 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.977 * [taylor]: Taking taylor expansion of x in z
2.977 * [backup-simplify]: Simplify x into x
2.977 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.977 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.978 * [taylor]: Taking taylor expansion of x in z
2.978 * [backup-simplify]: Simplify x into x
2.978 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.978 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.978 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.978 * [taylor]: Taking taylor expansion of y in z
2.978 * [backup-simplify]: Simplify y into y
2.978 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.978 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.978 * [backup-simplify]: Simplify (* 1 1) into 1
2.979 * [backup-simplify]: Simplify (+ 1 0) into 1
2.979 * [backup-simplify]: Simplify (log 1) into 0
2.980 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
2.980 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
2.980 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
2.980 * [taylor]: Taking taylor expansion of (pow (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) 1/6) in z
2.980 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))))) in z
2.980 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in z
2.980 * [taylor]: Taking taylor expansion of 1/6 in z
2.980 * [backup-simplify]: Simplify 1/6 into 1/6
2.980 * [taylor]: Taking taylor expansion of (log (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
2.980 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
2.981 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
2.981 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.981 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.981 * [taylor]: Taking taylor expansion of z in z
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 1 into 1
2.981 * [backup-simplify]: Simplify (/ 1 1) into 1
2.981 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.981 * [taylor]: Taking taylor expansion of z in z
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify 1 into 1
2.982 * [backup-simplify]: Simplify (/ 1 1) into 1
2.982 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.982 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.982 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.982 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.982 * [taylor]: Taking taylor expansion of x in z
2.982 * [backup-simplify]: Simplify x into x
2.982 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.982 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.982 * [taylor]: Taking taylor expansion of x in z
2.982 * [backup-simplify]: Simplify x into x
2.982 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.982 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.982 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.982 * [taylor]: Taking taylor expansion of y in z
2.982 * [backup-simplify]: Simplify y into y
2.982 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.983 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.983 * [backup-simplify]: Simplify (* 1 1) into 1
2.983 * [backup-simplify]: Simplify (+ 1 0) into 1
2.984 * [backup-simplify]: Simplify (log 1) into 0
2.984 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
2.984 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
2.985 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
2.985 * [taylor]: Taking taylor expansion of (pow z -1/3) in x
2.985 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in x
2.985 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in x
2.985 * [taylor]: Taking taylor expansion of -1/3 in x
2.985 * [backup-simplify]: Simplify -1/3 into -1/3
2.985 * [taylor]: Taking taylor expansion of (log z) in x
2.985 * [taylor]: Taking taylor expansion of z in x
2.985 * [backup-simplify]: Simplify z into z
2.985 * [backup-simplify]: Simplify (log z) into (log z)
2.985 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
2.985 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
2.985 * [taylor]: Taking taylor expansion of (pow z -1/3) in y
2.985 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in y
2.985 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in y
2.985 * [taylor]: Taking taylor expansion of -1/3 in y
2.985 * [backup-simplify]: Simplify -1/3 into -1/3
2.985 * [taylor]: Taking taylor expansion of (log z) in y
2.985 * [taylor]: Taking taylor expansion of z in y
2.985 * [backup-simplify]: Simplify z into z
2.985 * [backup-simplify]: Simplify (log z) into (log z)
2.985 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
2.986 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
2.986 * [backup-simplify]: Simplify (pow z -1/3) into (pow z -1/3)
2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.989 * [backup-simplify]: Simplify (+ 0 0) into 0
2.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.991 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
2.991 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log z))))) into 0
2.992 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
2.992 * [taylor]: Taking taylor expansion of 0 in x
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [taylor]: Taking taylor expansion of 0 in y
2.992 * [backup-simplify]: Simplify 0 into 0
2.993 * [backup-simplify]: Simplify 0 into 0
2.994 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
2.994 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
2.995 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
2.995 * [taylor]: Taking taylor expansion of 0 in y
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 0 into 0
2.996 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
2.997 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
2.998 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
2.998 * [backup-simplify]: Simplify 0 into 0
2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.001 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
3.002 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.002 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.005 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))
3.005 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
3.006 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log z)))))) into (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2))))
3.007 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3))
3.007 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3)) in x
3.007 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) in x
3.007 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in x
3.007 * [taylor]: Taking taylor expansion of 1/6 in x
3.007 * [backup-simplify]: Simplify 1/6 into 1/6
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.007 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.007 * [taylor]: Taking taylor expansion of x in x
3.007 * [backup-simplify]: Simplify 0 into 0
3.007 * [backup-simplify]: Simplify 1 into 1
3.008 * [backup-simplify]: Simplify (* 1 1) into 1
3.008 * [backup-simplify]: Simplify (/ 1 1) into 1
3.008 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in x
3.008 * [taylor]: Taking taylor expansion of 1/6 in x
3.008 * [backup-simplify]: Simplify 1/6 into 1/6
3.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.008 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.008 * [taylor]: Taking taylor expansion of y in x
3.008 * [backup-simplify]: Simplify y into y
3.008 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.008 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in x
3.008 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in x
3.008 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in x
3.008 * [taylor]: Taking taylor expansion of 1/3 in x
3.008 * [backup-simplify]: Simplify 1/3 into 1/3
3.009 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in x
3.009 * [taylor]: Taking taylor expansion of (/ 1 z) in x
3.009 * [taylor]: Taking taylor expansion of z in x
3.009 * [backup-simplify]: Simplify z into z
3.009 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.009 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
3.009 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
3.009 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
3.009 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
3.010 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
3.010 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
3.010 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
3.011 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
3.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
3.012 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
3.013 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
3.014 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.015 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.016 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.016 * [backup-simplify]: Simplify (+ 0 0) into 0
3.016 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.018 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
3.019 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow y 2))) into (/ 1/6 (pow y 2))
3.019 * [backup-simplify]: Simplify (+ 0 (/ 1/6 (pow y 2))) into (* 1/6 (/ 1 (pow y 2)))
3.020 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* (* 1/6 (/ 1 (pow y 2))) (pow (/ 1 z) 1/3)))) into (* 1/6 (* (pow (/ 1 z) 1/3) (/ 1 (pow y 2))))
3.020 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 z) 1/3) (/ 1 (pow y 2)))) in y
3.020 * [taylor]: Taking taylor expansion of 1/6 in y
3.020 * [backup-simplify]: Simplify 1/6 into 1/6
3.020 * [taylor]: Taking taylor expansion of (* (pow (/ 1 z) 1/3) (/ 1 (pow y 2))) in y
3.020 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in y
3.020 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in y
3.020 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in y
3.020 * [taylor]: Taking taylor expansion of 1/3 in y
3.020 * [backup-simplify]: Simplify 1/3 into 1/3
3.020 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in y
3.020 * [taylor]: Taking taylor expansion of (/ 1 z) in y
3.020 * [taylor]: Taking taylor expansion of z in y
3.020 * [backup-simplify]: Simplify z into z
3.020 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.020 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
3.020 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
3.020 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
3.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.020 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.021 * [taylor]: Taking taylor expansion of y in y
3.021 * [backup-simplify]: Simplify 0 into 0
3.021 * [backup-simplify]: Simplify 1 into 1
3.021 * [backup-simplify]: Simplify (* 1 1) into 1
3.021 * [backup-simplify]: Simplify (/ 1 1) into 1
3.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.023 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
3.024 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
3.024 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
3.025 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
3.026 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
3.027 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
3.028 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.028 * [backup-simplify]: Simplify (+ (* (pow (/ 1 z) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
3.029 * [backup-simplify]: Simplify (+ (* (pow (/ 1 z) 1/3) 0) (* 0 1)) into 0
3.029 * [backup-simplify]: Simplify (* (pow (/ 1 z) 1/3) 1) into (pow (/ 1 z) 1/3)
3.030 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [taylor]: Taking taylor expansion of 0 in y
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow z 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow z 1)))) 2) into 0
3.032 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log z)))) into 0
3.033 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.033 * [taylor]: Taking taylor expansion of 0 in y
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify 0 into 0
3.033 * [backup-simplify]: Simplify (pow (/ 1 z) -1/3) into (pow (/ 1 z) -1/3)
3.033 * [backup-simplify]: Simplify (cbrt (sqrt (fma (/ 1 (- z)) (/ 1 (- z)) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))))) into (pow (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 1/6)
3.034 * [approximate]: Taking taylor expansion of (pow (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 1/6) in (z x y) around 0
3.034 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 1/6) in y
3.034 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))))) in y
3.034 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in y
3.034 * [taylor]: Taking taylor expansion of 1/6 in y
3.034 * [backup-simplify]: Simplify 1/6 into 1/6
3.034 * [taylor]: Taking taylor expansion of (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
3.034 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
3.034 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
3.034 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
3.034 * [taylor]: Taking taylor expansion of (/ -1 z) in y
3.034 * [taylor]: Taking taylor expansion of -1 in y
3.034 * [backup-simplify]: Simplify -1 into -1
3.034 * [taylor]: Taking taylor expansion of z in y
3.034 * [backup-simplify]: Simplify z into z
3.034 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.034 * [taylor]: Taking taylor expansion of (/ -1 z) in y
3.034 * [taylor]: Taking taylor expansion of -1 in y
3.034 * [backup-simplify]: Simplify -1 into -1
3.034 * [taylor]: Taking taylor expansion of z in y
3.034 * [backup-simplify]: Simplify z into z
3.034 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.035 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
3.035 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
3.035 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
3.035 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.035 * [taylor]: Taking taylor expansion of -1 in y
3.035 * [backup-simplify]: Simplify -1 into -1
3.035 * [taylor]: Taking taylor expansion of x in y
3.035 * [backup-simplify]: Simplify x into x
3.035 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.035 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.035 * [taylor]: Taking taylor expansion of -1 in y
3.035 * [backup-simplify]: Simplify -1 into -1
3.035 * [taylor]: Taking taylor expansion of x in y
3.035 * [backup-simplify]: Simplify x into x
3.035 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.035 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.035 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.035 * [taylor]: Taking taylor expansion of y in y
3.035 * [backup-simplify]: Simplify 0 into 0
3.035 * [backup-simplify]: Simplify 1 into 1
3.036 * [backup-simplify]: Simplify (* 1 1) into 1
3.036 * [backup-simplify]: Simplify (/ 1 1) into 1
3.037 * [backup-simplify]: Simplify (+ 0 1) into 1
3.038 * [backup-simplify]: Simplify (+ 0 1) into 1
3.038 * [backup-simplify]: Simplify (log 1) into 0
3.039 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
3.039 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
3.039 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
3.039 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 1/6) in x
3.039 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))))) in x
3.039 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in x
3.039 * [taylor]: Taking taylor expansion of 1/6 in x
3.039 * [backup-simplify]: Simplify 1/6 into 1/6
3.039 * [taylor]: Taking taylor expansion of (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
3.039 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
3.039 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
3.039 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
3.039 * [taylor]: Taking taylor expansion of (/ -1 z) in x
3.039 * [taylor]: Taking taylor expansion of -1 in x
3.039 * [backup-simplify]: Simplify -1 into -1
3.039 * [taylor]: Taking taylor expansion of z in x
3.040 * [backup-simplify]: Simplify z into z
3.040 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.040 * [taylor]: Taking taylor expansion of (/ -1 z) in x
3.040 * [taylor]: Taking taylor expansion of -1 in x
3.040 * [backup-simplify]: Simplify -1 into -1
3.040 * [taylor]: Taking taylor expansion of z in x
3.040 * [backup-simplify]: Simplify z into z
3.040 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.040 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
3.040 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
3.040 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.040 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.040 * [taylor]: Taking taylor expansion of -1 in x
3.040 * [backup-simplify]: Simplify -1 into -1
3.040 * [taylor]: Taking taylor expansion of x in x
3.040 * [backup-simplify]: Simplify 0 into 0
3.040 * [backup-simplify]: Simplify 1 into 1
3.041 * [backup-simplify]: Simplify (/ -1 1) into -1
3.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.041 * [taylor]: Taking taylor expansion of -1 in x
3.041 * [backup-simplify]: Simplify -1 into -1
3.041 * [taylor]: Taking taylor expansion of x in x
3.041 * [backup-simplify]: Simplify 0 into 0
3.041 * [backup-simplify]: Simplify 1 into 1
3.042 * [backup-simplify]: Simplify (/ -1 1) into -1
3.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.042 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.042 * [taylor]: Taking taylor expansion of y in x
3.042 * [backup-simplify]: Simplify y into y
3.042 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.042 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.042 * [backup-simplify]: Simplify (* -1 -1) into 1
3.043 * [backup-simplify]: Simplify (+ 1 0) into 1
3.043 * [backup-simplify]: Simplify (+ 0 1) into 1
3.044 * [backup-simplify]: Simplify (log 1) into 0
3.044 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.044 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
3.045 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
3.045 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 1/6) in z
3.045 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))))) in z
3.045 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in z
3.045 * [taylor]: Taking taylor expansion of 1/6 in z
3.045 * [backup-simplify]: Simplify 1/6 into 1/6
3.045 * [taylor]: Taking taylor expansion of (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
3.045 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
3.045 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
3.045 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
3.045 * [taylor]: Taking taylor expansion of (/ -1 z) in z
3.045 * [taylor]: Taking taylor expansion of -1 in z
3.045 * [backup-simplify]: Simplify -1 into -1
3.045 * [taylor]: Taking taylor expansion of z in z
3.045 * [backup-simplify]: Simplify 0 into 0
3.045 * [backup-simplify]: Simplify 1 into 1
3.046 * [backup-simplify]: Simplify (/ -1 1) into -1
3.046 * [taylor]: Taking taylor expansion of (/ -1 z) in z
3.046 * [taylor]: Taking taylor expansion of -1 in z
3.046 * [backup-simplify]: Simplify -1 into -1
3.046 * [taylor]: Taking taylor expansion of z in z
3.046 * [backup-simplify]: Simplify 0 into 0
3.046 * [backup-simplify]: Simplify 1 into 1
3.046 * [backup-simplify]: Simplify (/ -1 1) into -1
3.046 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
3.047 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
3.047 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
3.047 * [taylor]: Taking taylor expansion of (/ -1 x) in z
3.047 * [taylor]: Taking taylor expansion of -1 in z
3.047 * [backup-simplify]: Simplify -1 into -1
3.047 * [taylor]: Taking taylor expansion of x in z
3.047 * [backup-simplify]: Simplify x into x
3.047 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.047 * [taylor]: Taking taylor expansion of (/ -1 x) in z
3.047 * [taylor]: Taking taylor expansion of -1 in z
3.047 * [backup-simplify]: Simplify -1 into -1
3.047 * [taylor]: Taking taylor expansion of x in z
3.047 * [backup-simplify]: Simplify x into x
3.047 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.047 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.047 * [taylor]: Taking taylor expansion of y in z
3.047 * [backup-simplify]: Simplify y into y
3.047 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.048 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.048 * [backup-simplify]: Simplify (* -1 -1) into 1
3.049 * [backup-simplify]: Simplify (+ 1 0) into 1
3.049 * [backup-simplify]: Simplify (log 1) into 0
3.050 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
3.050 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
3.050 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
3.050 * [taylor]: Taking taylor expansion of (pow (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) 1/6) in z
3.050 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))))) in z
3.050 * [taylor]: Taking taylor expansion of (* 1/6 (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in z
3.050 * [taylor]: Taking taylor expansion of 1/6 in z
3.050 * [backup-simplify]: Simplify 1/6 into 1/6
3.050 * [taylor]: Taking taylor expansion of (log (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
3.050 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
3.050 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
3.050 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
3.050 * [taylor]: Taking taylor expansion of (/ -1 z) in z
3.050 * [taylor]: Taking taylor expansion of -1 in z
3.050 * [backup-simplify]: Simplify -1 into -1
3.050 * [taylor]: Taking taylor expansion of z in z
3.050 * [backup-simplify]: Simplify 0 into 0
3.050 * [backup-simplify]: Simplify 1 into 1
3.051 * [backup-simplify]: Simplify (/ -1 1) into -1
3.051 * [taylor]: Taking taylor expansion of (/ -1 z) in z
3.051 * [taylor]: Taking taylor expansion of -1 in z
3.051 * [backup-simplify]: Simplify -1 into -1
3.051 * [taylor]: Taking taylor expansion of z in z
3.051 * [backup-simplify]: Simplify 0 into 0
3.051 * [backup-simplify]: Simplify 1 into 1
3.052 * [backup-simplify]: Simplify (/ -1 1) into -1
3.052 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
3.052 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
3.052 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
3.052 * [taylor]: Taking taylor expansion of (/ -1 x) in z
3.052 * [taylor]: Taking taylor expansion of -1 in z
3.052 * [backup-simplify]: Simplify -1 into -1
3.052 * [taylor]: Taking taylor expansion of x in z
3.052 * [backup-simplify]: Simplify x into x
3.052 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.052 * [taylor]: Taking taylor expansion of (/ -1 x) in z
3.052 * [taylor]: Taking taylor expansion of -1 in z
3.052 * [backup-simplify]: Simplify -1 into -1
3.052 * [taylor]: Taking taylor expansion of x in z
3.052 * [backup-simplify]: Simplify x into x
3.052 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.052 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.052 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.052 * [taylor]: Taking taylor expansion of y in z
3.052 * [backup-simplify]: Simplify y into y
3.053 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.053 * [backup-simplify]: Simplify (* -1 -1) into 1
3.054 * [backup-simplify]: Simplify (+ 1 0) into 1
3.054 * [backup-simplify]: Simplify (log 1) into 0
3.055 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
3.055 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
3.055 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
3.055 * [taylor]: Taking taylor expansion of (pow z -1/3) in x
3.055 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in x
3.055 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in x
3.055 * [taylor]: Taking taylor expansion of -1/3 in x
3.055 * [backup-simplify]: Simplify -1/3 into -1/3
3.055 * [taylor]: Taking taylor expansion of (log z) in x
3.055 * [taylor]: Taking taylor expansion of z in x
3.055 * [backup-simplify]: Simplify z into z
3.055 * [backup-simplify]: Simplify (log z) into (log z)
3.055 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
3.056 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
3.056 * [taylor]: Taking taylor expansion of (pow z -1/3) in y
3.056 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in y
3.056 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in y
3.056 * [taylor]: Taking taylor expansion of -1/3 in y
3.056 * [backup-simplify]: Simplify -1/3 into -1/3
3.056 * [taylor]: Taking taylor expansion of (log z) in y
3.056 * [taylor]: Taking taylor expansion of z in y
3.056 * [backup-simplify]: Simplify z into z
3.056 * [backup-simplify]: Simplify (log z) into (log z)
3.056 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
3.056 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
3.056 * [backup-simplify]: Simplify (pow z -1/3) into (pow z -1/3)
3.057 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.059 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.059 * [backup-simplify]: Simplify (+ 0 0) into 0
3.061 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.061 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
3.062 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log z))))) into 0
3.063 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
3.063 * [taylor]: Taking taylor expansion of 0 in x
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [taylor]: Taking taylor expansion of 0 in y
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify 0 into 0
3.064 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
3.065 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
3.066 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
3.066 * [taylor]: Taking taylor expansion of 0 in y
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify 0 into 0
3.067 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
3.068 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
3.077 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
3.077 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.080 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.081 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.081 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
3.082 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.082 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.085 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))
3.086 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
3.087 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log z)))))) into (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2))))
3.089 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3))
3.089 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3)) in x
3.089 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) in x
3.089 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in x
3.089 * [taylor]: Taking taylor expansion of 1/6 in x
3.089 * [backup-simplify]: Simplify 1/6 into 1/6
3.089 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.089 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.090 * [taylor]: Taking taylor expansion of x in x
3.090 * [backup-simplify]: Simplify 0 into 0
3.090 * [backup-simplify]: Simplify 1 into 1
3.090 * [backup-simplify]: Simplify (* 1 1) into 1
3.091 * [backup-simplify]: Simplify (/ 1 1) into 1
3.091 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in x
3.091 * [taylor]: Taking taylor expansion of 1/6 in x
3.091 * [backup-simplify]: Simplify 1/6 into 1/6
3.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.091 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.091 * [taylor]: Taking taylor expansion of y in x
3.091 * [backup-simplify]: Simplify y into y
3.091 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.091 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in x
3.091 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in x
3.091 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in x
3.091 * [taylor]: Taking taylor expansion of 1/3 in x
3.091 * [backup-simplify]: Simplify 1/3 into 1/3
3.091 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in x
3.091 * [taylor]: Taking taylor expansion of (/ 1 z) in x
3.091 * [taylor]: Taking taylor expansion of z in x
3.091 * [backup-simplify]: Simplify z into z
3.092 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.092 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
3.092 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
3.092 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
3.093 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
3.093 * [backup-simplify]: Simplify (+ 1/6 0) into 1/6
3.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
3.094 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
3.095 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
3.095 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
3.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
3.098 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
3.100 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.103 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
3.103 * [backup-simplify]: Simplify (+ 0 0) into 0
3.104 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.107 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
3.108 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow y 2))) into (/ 1/6 (pow y 2))
3.108 * [backup-simplify]: Simplify (+ 0 (/ 1/6 (pow y 2))) into (* 1/6 (/ 1 (pow y 2)))
3.109 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* (* 1/6 (/ 1 (pow y 2))) (pow (/ 1 z) 1/3)))) into (* 1/6 (* (pow (/ 1 z) 1/3) (/ 1 (pow y 2))))
3.110 * [taylor]: Taking taylor expansion of (* 1/6 (* (pow (/ 1 z) 1/3) (/ 1 (pow y 2)))) in y
3.110 * [taylor]: Taking taylor expansion of 1/6 in y
3.110 * [backup-simplify]: Simplify 1/6 into 1/6
3.110 * [taylor]: Taking taylor expansion of (* (pow (/ 1 z) 1/3) (/ 1 (pow y 2))) in y
3.110 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in y
3.110 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in y
3.110 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in y
3.110 * [taylor]: Taking taylor expansion of 1/3 in y
3.110 * [backup-simplify]: Simplify 1/3 into 1/3
3.110 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in y
3.110 * [taylor]: Taking taylor expansion of (/ 1 z) in y
3.110 * [taylor]: Taking taylor expansion of z in y
3.110 * [backup-simplify]: Simplify z into z
3.110 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.110 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
3.110 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
3.110 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
3.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.111 * [taylor]: Taking taylor expansion of y in y
3.111 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify 1 into 1
3.111 * [backup-simplify]: Simplify (* 1 1) into 1
3.112 * [backup-simplify]: Simplify (/ 1 1) into 1
3.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
3.117 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
3.117 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
3.119 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.119 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
3.121 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
3.122 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
3.124 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.125 * [backup-simplify]: Simplify (+ (* (pow (/ 1 z) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
3.126 * [backup-simplify]: Simplify (+ (* (pow (/ 1 z) 1/3) 0) (* 0 1)) into 0
3.126 * [backup-simplify]: Simplify (* (pow (/ 1 z) 1/3) 1) into (pow (/ 1 z) 1/3)
3.127 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
3.127 * [backup-simplify]: Simplify 0 into 0
3.127 * [taylor]: Taking taylor expansion of 0 in y
3.127 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify 0 into 0
3.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow z 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow z 1)))) 2) into 0
3.131 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log z)))) into 0
3.132 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.132 * [taylor]: Taking taylor expansion of 0 in y
3.132 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify 0 into 0
3.132 * [backup-simplify]: Simplify (pow (/ 1 (- z)) -1/3) into (pow (/ -1 z) -1/3)
3.133 * * * [progress]: simplifying candidates
3.134 * [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 (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 (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 (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (log1p (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (log (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (exp (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y)))))))
  (cbrt (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))))
  (cbrt (sqrt (cbrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt 1))
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (cbrt (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt 1)
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (cbrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (cbrt (sqrt (fma z z (fma x x (* y y)))))))
  (cbrt (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)))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (sqrt (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (sqrt (cbrt (sqrt (fma z z (fma x x (* y y))))))
  y
  z
  (* -1 z)
  y
  z
  (* -1 z)
  y
  z
  (* -1 z)
  (+ (* 1/6 (* (pow x 2) (pow (/ 1 (pow y 5)) 1/3))) (+ (* 1/6 (* (pow z 2) (pow (/ 1 (pow y 5)) 1/3))) (pow y 1/3)))
  (pow (/ 1 z) -1/3)
  (pow (/ -1 z) -1/3)
3.137 * * [simplify]: Extracting # 0 : cost  0
3.137 * * [simplify]: Extracting # 1 : cost  0
3.137 * * [simplify]: Extracting # 2 : cost  0
3.137 * * [simplify]: Extracting # 3 : cost  0
3.137 * * [simplify]: Extracting # 4 : cost  0
3.138 * * [simplify]: Extracting # 5 : cost  0
3.138 * * [simplify]: Extracting # 6 : cost  0
3.138 * * [simplify]: Extracting # 7 : cost  0
3.138 * * [simplify]: Extracting # 8 : cost  0
3.138 * * [simplify]: Extracting # 9 : cost  0
3.139 * * [simplify]: Extracting # 10 : cost  0
3.139 * * [simplify]: Extracting # 11 : cost  0
3.139 * * [simplify]: Extracting # 12 : cost  0
3.139 * * [simplify]: iteration  0 :  60  enodes  (cost  952 )
3.164 * * [simplify]: Extracting # 0 : cost  0
3.165 * * [simplify]: Extracting # 1 : cost  0
3.165 * * [simplify]: Extracting # 2 : cost  0
3.166 * * [simplify]: Extracting # 3 : cost  0
3.166 * * [simplify]: Extracting # 4 : cost  0
3.166 * * [simplify]: iteration  1 :  109  enodes  (cost  852 )
3.197 * * [simplify]: Extracting # 0 : cost  0
3.197 * * [simplify]: Extracting # 1 : cost  0
3.197 * * [simplify]: Extracting # 2 : cost  0
3.197 * * [simplify]: Extracting # 3 : cost  0
3.198 * * [simplify]: Extracting # 4 : cost  0
3.198 * * [simplify]: iteration  2 :  260  enodes  (cost  801 )
3.386 * * [simplify]: Extracting # 0 : cost  0
3.388 * * [simplify]: Extracting # 1 : cost  0
3.389 * * [simplify]: Extracting # 2 : cost  0
3.390 * * [simplify]: Extracting # 3 : cost  0
3.391 * * [simplify]: Extracting # 4 : cost  0
3.392 * * [simplify]: iteration  3 :  936  enodes  (cost  794 )
4.367 * * [simplify]: Extracting # 0 : cost  0
4.376 * * [simplify]: Extracting # 1 : cost  0
4.388 * * [simplify]: Extracting # 2 : cost  0
4.397 * * [simplify]: Extracting # 3 : cost  0
4.409 * * [simplify]: Extracting # 4 : cost  0
4.415 * * [simplify]: iteration  4 :  4608  enodes  (cost  794 )
6.447 * * [simplify]: Extracting # 0 : cost  0
6.454 * * [simplify]: Extracting # 1 : cost  0
6.461 * * [simplify]: iteration done:  5000  enodes  (cost  794 )
6.461 * [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 (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 (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 (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (log1p (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (log (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (exp (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y)))))))
  (cbrt (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (fabs (cbrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (cbrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (sqrt (fma z z (fma x x (* y y))))))
  1
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (cbrt (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (sqrt (fma z z (fma x x (* y y))))))
  1
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (cbrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (cbrt (sqrt (fma z z (fma x x (* y y)))))))
  (cbrt (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (sqrt (fma z z (fma x x (* y y))))
  (sqrt (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (sqrt (cbrt (sqrt (fma z z (fma x x (* y y))))))
  y
  z
  (- z)
  y
  z
  (- z)
  y
  z
  (- z)
  (fma 1/6 (* (cbrt (/ 1 (pow y 5))) (fma z z (pow x 2))) (cbrt y))
  (pow (/ 1 z) -1/3)
  (pow (/ -1 z) -1/3)
6.462 * * * [progress]: adding candidates to table
6.787 * * [progress]: iteration 3 / 4
6.787 * * * [progress]: picking best candidate
6.799 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
6.799 * * * [progress]: localizing error
6.801 * * * [progress]: generating rewritten candidates
6.801 * * * [progress]: generating series expansions
6.801 * * * [progress]: simplifying candidates
6.802 * [simplify]: Simplifying:
  
6.802 * * [simplify]: Extracting # 0 : cost  0
6.802 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
6.802 * * [simplify]: Extracting # 0 : cost  0
6.802 * * [simplify]: iteration done:  0  enodes  (cost  0 )
6.802 * [simplify]: Simplified to:
  
6.802 * * * [progress]: adding candidates to table
6.802 * * [progress]: iteration 4 / 4
6.803 * * * [progress]: picking best candidate
6.807 * * * * [pick]: Picked  #<alt (λ (x y z) y)>
6.807 * * * [progress]: localizing error
6.809 * * * [progress]: generating rewritten candidates
6.809 * * * [progress]: generating series expansions
6.809 * * * [progress]: simplifying candidates
6.809 * [simplify]: Simplifying:
  
6.809 * * [simplify]: Extracting # 0 : cost  0
6.809 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
6.809 * * [simplify]: Extracting # 0 : cost  0
6.809 * * [simplify]: iteration done:  0  enodes  (cost  0 )
6.809 * [simplify]: Simplified to:
  
6.809 * * * [progress]: adding candidates to table
6.810 * [progress]: [Phase 3 of 3] Extracting.
6.810 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) (* (* (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)))))))>)
6.811 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) z y x)
6.811 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) (* (* (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)))))))>)
6.836 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) (* (* (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)))))))>)
6.862 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) (* (* (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)))))))>)
6.920 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) (* (* (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)))))))>)
7.003 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) (* (* (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)))))))>)
7.029 * * * [regime]: Found split indices: #<option (#s(si 3 37) #s(si 0 203) #s(si 1 255))>
7.029 * [binary-search]: Improving bounds with binary search for z and (#<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) (* (* (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)))))))>)
7.089 * [regimes]: Found splitpoints: (#s(sp 3 z -2.232124088806184e+105) #s(sp 0 z 2.200001758568739e+47) #s(sp 1 z +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) (* (* (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)))))))>)
7.090 * [simplify]: Simplifying:
  (if (<= z -2.232124088806184e+105) (- z) (if (<= z 2.200001758568739e+47) (sqrt (fma z z (fma x x (* y y)))) z))
7.090 * * [simplify]: Extracting # 0 : cost  0
7.090 * * [simplify]: Extracting # 1 : cost  0
7.090 * * [simplify]: Extracting # 2 : cost  0
7.090 * * [simplify]: Extracting # 3 : cost  0
7.090 * * [simplify]: Extracting # 4 : cost  0
7.090 * * [simplify]: Extracting # 5 : cost  0
7.090 * * [simplify]: Extracting # 6 : cost  0
7.090 * * [simplify]: Extracting # 7 : cost  0
7.090 * * [simplify]: Extracting # 8 : cost  0
7.090 * * [simplify]: Extracting # 9 : cost  0
7.090 * * [simplify]: Extracting # 10 : cost  0
7.090 * * [simplify]: iteration  0 :  14  enodes  (cost  21 )
7.091 * * [simplify]: Extracting # 0 : cost  0
7.091 * * [simplify]: iteration done:  14  enodes  (cost  21 )
7.091 * [simplify]: Simplified to:
  (if (<= z -2.232124088806184e+105) (- z) (if (<= z 2.200001758568739e+47) (sqrt (fma z z (fma x x (* y y)))) z))
9.004 * [regime-testing]: Baseline error score: 37.692795707340196
9.007 * [regime-testing]: Oracle error score: 17.77347137950754
9.012 * [regime-testing]: End program error score: 25.57829492279866
9.061 * [regime-testing]: Target error score: 25.029305609694585