30.318 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.021 * * * [progress]: [2/2] Setting up program.
0.023 * [progress]: [Phase 2 of 3] Improving.
0.023 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.023 * * [simplify]: Extracting # 0 : cost  0
0.023 * * [simplify]: Extracting # 1 : cost  0
0.023 * * [simplify]: Extracting # 2 : cost  0
0.023 * * [simplify]: Extracting # 3 : cost  0
0.023 * * [simplify]: Extracting # 4 : cost  0
0.023 * * [simplify]: Extracting # 5 : cost  0
0.023 * * [simplify]: Extracting # 6 : cost  0
0.023 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.025 * * [simplify]: Extracting # 0 : cost  0
0.025 * * [simplify]: Extracting # 1 : cost  0
0.025 * * [simplify]: Extracting # 2 : cost  0
0.025 * * [simplify]: iteration  1 :  14  enodes  (cost  11 )
0.027 * * [simplify]: Extracting # 0 : cost  0
0.027 * * [simplify]: Extracting # 1 : cost  0
0.027 * * [simplify]: Extracting # 2 : cost  0
0.027 * * [simplify]: iteration  2 :  24  enodes  (cost  10 )
0.031 * * [simplify]: Extracting # 0 : cost  0
0.031 * * [simplify]: Extracting # 1 : cost  0
0.031 * * [simplify]: iteration  3 :  31  enodes  (cost  10 )
0.035 * * [simplify]: Extracting # 0 : cost  0
0.035 * * [simplify]: iteration done:  31  enodes  (cost  10 )
0.035 * [simplify]: Simplified to:
  (sqrt (fma z z (fma x x (* y y))))
0.039 * * [progress]: iteration 1 / 4
0.039 * * * [progress]: picking best candidate
0.041 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))>
0.041 * * * [progress]: localizing error
0.050 * * * [progress]: generating rewritten candidates
0.050 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.052 * * * [progress]: generating series expansions
0.052 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.052 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
0.052 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
0.052 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
0.052 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
0.052 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.052 * [taylor]: Taking taylor expansion of (* z z) in y
0.052 * [taylor]: Taking taylor expansion of z in y
0.052 * [backup-simplify]: Simplify z into z
0.052 * [taylor]: Taking taylor expansion of z in y
0.052 * [backup-simplify]: Simplify z into z
0.052 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.052 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.053 * [taylor]: Taking taylor expansion of (* x x) in y
0.053 * [taylor]: Taking taylor expansion of x in y
0.053 * [backup-simplify]: Simplify x into x
0.053 * [taylor]: Taking taylor expansion of x in y
0.053 * [backup-simplify]: Simplify x into x
0.053 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.053 * [taylor]: Taking taylor expansion of y in y
0.053 * [backup-simplify]: Simplify 0 into 0
0.053 * [backup-simplify]: Simplify 1 into 1
0.053 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.053 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.053 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.053 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
0.053 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.053 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.053 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [backup-simplify]: Simplify (+ 0 0) into 0
0.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.054 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
0.054 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
0.054 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.054 * [taylor]: Taking taylor expansion of (* z z) in x
0.054 * [taylor]: Taking taylor expansion of z in x
0.054 * [backup-simplify]: Simplify z into z
0.054 * [taylor]: Taking taylor expansion of z in x
0.054 * [backup-simplify]: Simplify z into z
0.054 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.054 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.055 * [taylor]: Taking taylor expansion of (* x x) in x
0.055 * [taylor]: Taking taylor expansion of x in x
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [taylor]: Taking taylor expansion of x in x
0.055 * [backup-simplify]: Simplify 0 into 0
0.055 * [backup-simplify]: Simplify 1 into 1
0.055 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.055 * [taylor]: Taking taylor expansion of y in x
0.055 * [backup-simplify]: Simplify y into y
0.055 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.055 * [backup-simplify]: Simplify (* 0 0) into 0
0.055 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.055 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.055 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
0.055 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.055 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.056 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.056 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.056 * [backup-simplify]: Simplify (+ 0 0) into 0
0.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.057 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
0.057 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.057 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.057 * [taylor]: Taking taylor expansion of (* z z) in z
0.057 * [taylor]: Taking taylor expansion of z in z
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [taylor]: Taking taylor expansion of z in z
0.057 * [backup-simplify]: Simplify 0 into 0
0.057 * [backup-simplify]: Simplify 1 into 1
0.057 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.057 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.057 * [taylor]: Taking taylor expansion of (* x x) in z
0.057 * [taylor]: Taking taylor expansion of x in z
0.057 * [backup-simplify]: Simplify x into x
0.057 * [taylor]: Taking taylor expansion of x in z
0.057 * [backup-simplify]: Simplify x into x
0.057 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.057 * [taylor]: Taking taylor expansion of y in z
0.057 * [backup-simplify]: Simplify y into y
0.057 * [backup-simplify]: Simplify (* 0 0) into 0
0.057 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.057 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.058 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.058 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.058 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.058 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.058 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.058 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify (+ 0 0) into 0
0.059 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.059 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
0.059 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.059 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.059 * [taylor]: Taking taylor expansion of (* z z) in z
0.059 * [taylor]: Taking taylor expansion of z in z
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [taylor]: Taking taylor expansion of z in z
0.059 * [backup-simplify]: Simplify 0 into 0
0.059 * [backup-simplify]: Simplify 1 into 1
0.059 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.059 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.059 * [taylor]: Taking taylor expansion of (* x x) in z
0.059 * [taylor]: Taking taylor expansion of x in z
0.059 * [backup-simplify]: Simplify x into x
0.059 * [taylor]: Taking taylor expansion of x in z
0.060 * [backup-simplify]: Simplify x into x
0.060 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.060 * [taylor]: Taking taylor expansion of y in z
0.060 * [backup-simplify]: Simplify y into y
0.060 * [backup-simplify]: Simplify (* 0 0) into 0
0.060 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.060 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.060 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.060 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.060 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.061 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.061 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.061 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify (+ 0 0) into 0
0.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.062 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.062 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.062 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.062 * [taylor]: Taking taylor expansion of x in x
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.062 * [taylor]: Taking taylor expansion of y in x
0.062 * [backup-simplify]: Simplify y into y
0.062 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.062 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.062 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.062 * [backup-simplify]: Simplify (+ 0 0) into 0
0.062 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.062 * [taylor]: Taking taylor expansion of y in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 1 into 1
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [taylor]: Taking taylor expansion of 0 in x
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [backup-simplify]: Simplify 0 into 0
0.062 * [taylor]: Taking taylor expansion of 0 in y
0.062 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 0 into 0
0.063 * [backup-simplify]: Simplify 1 into 1
0.063 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.063 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.064 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.064 * [backup-simplify]: Simplify (+ 0 0) into 0
0.064 * [backup-simplify]: Simplify (+ 1 0) into 1
0.065 * [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)))))
0.065 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
0.065 * [taylor]: Taking taylor expansion of 1/2 in x
0.065 * [backup-simplify]: Simplify 1/2 into 1/2
0.065 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
0.065 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
0.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.065 * [taylor]: Taking taylor expansion of x in x
0.065 * [backup-simplify]: Simplify 0 into 0
0.065 * [backup-simplify]: Simplify 1 into 1
0.065 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.065 * [taylor]: Taking taylor expansion of y in x
0.065 * [backup-simplify]: Simplify y into y
0.065 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.065 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.065 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.065 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
0.065 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.066 * [backup-simplify]: Simplify (+ 0 0) into 0
0.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
0.066 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.066 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.066 * [taylor]: Taking taylor expansion of 1/2 in y
0.066 * [backup-simplify]: Simplify 1/2 into 1/2
0.066 * [taylor]: Taking taylor expansion of y in y
0.066 * [backup-simplify]: Simplify 0 into 0
0.066 * [backup-simplify]: Simplify 1 into 1
0.074 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.075 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [taylor]: Taking taylor expansion of 0 in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify (* 1 1) into 1
0.075 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.076 * [backup-simplify]: Simplify (+ 1 0) into 1
0.076 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.077 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.077 * [taylor]: Taking taylor expansion of 1/2 in y
0.077 * [backup-simplify]: Simplify 1/2 into 1/2
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.077 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
0.078 * [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)))))
0.078 * [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
0.078 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
0.078 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
0.078 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.078 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.078 * [taylor]: Taking taylor expansion of z in y
0.078 * [backup-simplify]: Simplify z into z
0.078 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.078 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.078 * [taylor]: Taking taylor expansion of z in y
0.078 * [backup-simplify]: Simplify z into z
0.078 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.078 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.078 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.078 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.078 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.078 * [taylor]: Taking taylor expansion of x in y
0.079 * [backup-simplify]: Simplify x into x
0.079 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.079 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.079 * [taylor]: Taking taylor expansion of x in y
0.079 * [backup-simplify]: Simplify x into x
0.079 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.079 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.079 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.079 * [taylor]: Taking taylor expansion of y in y
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [backup-simplify]: Simplify (* 1 1) into 1
0.079 * [backup-simplify]: Simplify (/ 1 1) into 1
0.079 * [backup-simplify]: Simplify (+ 0 1) into 1
0.080 * [backup-simplify]: Simplify (+ 0 1) into 1
0.080 * [backup-simplify]: Simplify (sqrt 1) into 1
0.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.082 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
0.082 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
0.082 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.082 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.082 * [taylor]: Taking taylor expansion of z in x
0.082 * [backup-simplify]: Simplify z into z
0.082 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.082 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.082 * [taylor]: Taking taylor expansion of z in x
0.082 * [backup-simplify]: Simplify z into z
0.082 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.082 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.082 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.082 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [backup-simplify]: Simplify 0 into 0
0.082 * [backup-simplify]: Simplify 1 into 1
0.082 * [backup-simplify]: Simplify (/ 1 1) into 1
0.082 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.082 * [taylor]: Taking taylor expansion of x in x
0.082 * [backup-simplify]: Simplify 0 into 0
0.083 * [backup-simplify]: Simplify 1 into 1
0.083 * [backup-simplify]: Simplify (/ 1 1) into 1
0.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
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 (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.083 * [backup-simplify]: Simplify (* 1 1) into 1
0.083 * [backup-simplify]: Simplify (+ 1 0) into 1
0.084 * [backup-simplify]: Simplify (+ 0 1) into 1
0.084 * [backup-simplify]: Simplify (sqrt 1) into 1
0.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.085 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.086 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
0.086 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.086 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.086 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.086 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.086 * [taylor]: Taking taylor expansion of z in z
0.086 * [backup-simplify]: Simplify 0 into 0
0.086 * [backup-simplify]: Simplify 1 into 1
0.086 * [backup-simplify]: Simplify (/ 1 1) into 1
0.086 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.087 * [taylor]: Taking taylor expansion of z in z
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [backup-simplify]: Simplify (/ 1 1) into 1
0.087 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.087 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.087 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.087 * [taylor]: Taking taylor expansion of x in z
0.087 * [backup-simplify]: Simplify x into x
0.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.087 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.087 * [taylor]: Taking taylor expansion of x in z
0.087 * [backup-simplify]: Simplify x into x
0.087 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.087 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.087 * [taylor]: Taking taylor expansion of y in z
0.087 * [backup-simplify]: Simplify y into y
0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.087 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.088 * [backup-simplify]: Simplify (* 1 1) into 1
0.088 * [backup-simplify]: Simplify (+ 1 0) into 1
0.088 * [backup-simplify]: Simplify (sqrt 1) into 1
0.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.090 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
0.090 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.090 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.090 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.090 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.090 * [taylor]: Taking taylor expansion of z in z
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [backup-simplify]: Simplify (/ 1 1) into 1
0.090 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.090 * [taylor]: Taking taylor expansion of z in z
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.091 * [backup-simplify]: Simplify (/ 1 1) into 1
0.091 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.091 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.091 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.091 * [taylor]: Taking taylor expansion of x in z
0.091 * [backup-simplify]: Simplify x into x
0.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.091 * [taylor]: Taking taylor expansion of x in z
0.091 * [backup-simplify]: Simplify x into x
0.091 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.091 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.091 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.091 * [taylor]: Taking taylor expansion of y in z
0.091 * [backup-simplify]: Simplify y into y
0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.091 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.091 * [backup-simplify]: Simplify (* 1 1) into 1
0.092 * [backup-simplify]: Simplify (+ 1 0) into 1
0.092 * [backup-simplify]: Simplify (sqrt 1) into 1
0.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.094 * [taylor]: Taking taylor expansion of 1 in x
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [taylor]: Taking taylor expansion of 0 in x
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [taylor]: Taking taylor expansion of 1 in y
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.096 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
0.096 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.096 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.097 * [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))))
0.097 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.097 * [taylor]: Taking taylor expansion of 1/2 in x
0.097 * [backup-simplify]: Simplify 1/2 into 1/2
0.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.097 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.097 * [taylor]: Taking taylor expansion of x in x
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.097 * [backup-simplify]: Simplify (* 1 1) into 1
0.097 * [backup-simplify]: Simplify (/ 1 1) into 1
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.098 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.098 * [taylor]: Taking taylor expansion of y in x
0.098 * [backup-simplify]: Simplify y into y
0.098 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.099 * [backup-simplify]: Simplify (+ 0 0) into 0
0.099 * [backup-simplify]: Simplify (+ 1 0) into 1
0.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.099 * [taylor]: Taking taylor expansion of 0 in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [taylor]: Taking taylor expansion of 0 in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.099 * [taylor]: Taking taylor expansion of 0 in y
0.099 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.101 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
0.101 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.102 * [backup-simplify]: Simplify (+ 0 0) into 0
0.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.103 * [taylor]: Taking taylor expansion of 0 in x
0.103 * [backup-simplify]: Simplify 0 into 0
0.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.104 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
0.104 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
0.104 * [taylor]: Taking taylor expansion of 1/2 in y
0.104 * [backup-simplify]: Simplify 1/2 into 1/2
0.104 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.104 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.104 * [taylor]: Taking taylor expansion of y in y
0.104 * [backup-simplify]: Simplify 0 into 0
0.104 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (* 1 1) into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.106 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [taylor]: Taking taylor expansion of 0 in y
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 0 into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.108 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.109 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [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))))))
0.111 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
0.111 * [taylor]: Taking taylor expansion of -1/2 in x
0.111 * [backup-simplify]: Simplify -1/2 into -1/2
0.111 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
0.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
0.111 * [taylor]: Taking taylor expansion of 1/2 in x
0.111 * [backup-simplify]: Simplify 1/2 into 1/2
0.111 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
0.111 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
0.111 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.111 * [taylor]: Taking taylor expansion of x in x
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.111 * [taylor]: Taking taylor expansion of y in x
0.111 * [backup-simplify]: Simplify y into y
0.111 * [backup-simplify]: Simplify (* 1 1) into 1
0.111 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.111 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
0.111 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.111 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
0.111 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
0.111 * [taylor]: Taking taylor expansion of 1/4 in x
0.111 * [backup-simplify]: Simplify 1/4 into 1/4
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.111 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.111 * [taylor]: Taking taylor expansion of x in x
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (/ 1 1) into 1
0.112 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
0.112 * [taylor]: Taking taylor expansion of 1/4 in x
0.112 * [backup-simplify]: Simplify 1/4 into 1/4
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
0.112 * [taylor]: Taking taylor expansion of (pow y 4) in x
0.112 * [taylor]: Taking taylor expansion of y in x
0.112 * [backup-simplify]: Simplify y into y
0.112 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.112 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
0.112 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
0.113 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
0.114 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.114 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (+ 0 0) into 0
0.121 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
0.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.122 * [backup-simplify]: Simplify (+ 0 0) into 0
0.122 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
0.122 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.123 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.124 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.124 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.125 * [taylor]: Taking taylor expansion of 0 in y
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [taylor]: Taking taylor expansion of 0 in y
0.125 * [backup-simplify]: Simplify 0 into 0
0.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.126 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [taylor]: Taking taylor expansion of 0 in y
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.129 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
0.129 * [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)))))
0.129 * [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
0.129 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
0.129 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
0.129 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.129 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.129 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.129 * [taylor]: Taking taylor expansion of -1 in y
0.129 * [backup-simplify]: Simplify -1 into -1
0.129 * [taylor]: Taking taylor expansion of z in y
0.129 * [backup-simplify]: Simplify z into z
0.130 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.130 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.130 * [taylor]: Taking taylor expansion of -1 in y
0.130 * [backup-simplify]: Simplify -1 into -1
0.130 * [taylor]: Taking taylor expansion of z in y
0.130 * [backup-simplify]: Simplify z into z
0.130 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.130 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.130 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.130 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.130 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.130 * [taylor]: Taking taylor expansion of -1 in y
0.130 * [backup-simplify]: Simplify -1 into -1
0.130 * [taylor]: Taking taylor expansion of x in y
0.130 * [backup-simplify]: Simplify x into x
0.130 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.130 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.130 * [taylor]: Taking taylor expansion of -1 in y
0.130 * [backup-simplify]: Simplify -1 into -1
0.130 * [taylor]: Taking taylor expansion of x in y
0.130 * [backup-simplify]: Simplify x into x
0.130 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.130 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.130 * [taylor]: Taking taylor expansion of y in y
0.130 * [backup-simplify]: Simplify 0 into 0
0.130 * [backup-simplify]: Simplify 1 into 1
0.130 * [backup-simplify]: Simplify (* 1 1) into 1
0.131 * [backup-simplify]: Simplify (/ 1 1) into 1
0.131 * [backup-simplify]: Simplify (+ 0 1) into 1
0.131 * [backup-simplify]: Simplify (+ 0 1) into 1
0.131 * [backup-simplify]: Simplify (sqrt 1) into 1
0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.132 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify (+ 0 0) into 0
0.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.133 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
0.133 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
0.133 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.133 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.133 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.133 * [taylor]: Taking taylor expansion of -1 in x
0.133 * [backup-simplify]: Simplify -1 into -1
0.133 * [taylor]: Taking taylor expansion of z in x
0.133 * [backup-simplify]: Simplify z into z
0.133 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.133 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.133 * [taylor]: Taking taylor expansion of -1 in x
0.133 * [backup-simplify]: Simplify -1 into -1
0.133 * [taylor]: Taking taylor expansion of z in x
0.133 * [backup-simplify]: Simplify z into z
0.133 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.133 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.134 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.134 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.134 * [taylor]: Taking taylor expansion of -1 in x
0.134 * [backup-simplify]: Simplify -1 into -1
0.134 * [taylor]: Taking taylor expansion of x in x
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify (/ -1 1) into -1
0.134 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.134 * [taylor]: Taking taylor expansion of -1 in x
0.134 * [backup-simplify]: Simplify -1 into -1
0.134 * [taylor]: Taking taylor expansion of x in x
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify (/ -1 1) into -1
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.134 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.134 * [taylor]: Taking taylor expansion of y in x
0.134 * [backup-simplify]: Simplify y into y
0.134 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.135 * [backup-simplify]: Simplify (* -1 -1) into 1
0.135 * [backup-simplify]: Simplify (+ 1 0) into 1
0.135 * [backup-simplify]: Simplify (+ 0 1) into 1
0.136 * [backup-simplify]: Simplify (sqrt 1) into 1
0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.137 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.138 * [backup-simplify]: Simplify (+ 0 0) into 0
0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.139 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
0.139 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.139 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.139 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.139 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.139 * [taylor]: Taking taylor expansion of -1 in z
0.139 * [backup-simplify]: Simplify -1 into -1
0.139 * [taylor]: Taking taylor expansion of z in z
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.139 * [backup-simplify]: Simplify (/ -1 1) into -1
0.139 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.139 * [taylor]: Taking taylor expansion of -1 in z
0.139 * [backup-simplify]: Simplify -1 into -1
0.139 * [taylor]: Taking taylor expansion of z in z
0.139 * [backup-simplify]: Simplify 0 into 0
0.139 * [backup-simplify]: Simplify 1 into 1
0.140 * [backup-simplify]: Simplify (/ -1 1) into -1
0.140 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.140 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.140 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.140 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.140 * [taylor]: Taking taylor expansion of -1 in z
0.140 * [backup-simplify]: Simplify -1 into -1
0.140 * [taylor]: Taking taylor expansion of x in z
0.140 * [backup-simplify]: Simplify x into x
0.140 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.140 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.140 * [taylor]: Taking taylor expansion of -1 in z
0.140 * [backup-simplify]: Simplify -1 into -1
0.140 * [taylor]: Taking taylor expansion of x in z
0.140 * [backup-simplify]: Simplify x into x
0.140 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.140 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.140 * [taylor]: Taking taylor expansion of y in z
0.140 * [backup-simplify]: Simplify y into y
0.140 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.140 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.141 * [backup-simplify]: Simplify (* -1 -1) into 1
0.141 * [backup-simplify]: Simplify (+ 1 0) into 1
0.141 * [backup-simplify]: Simplify (sqrt 1) into 1
0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.142 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.143 * [backup-simplify]: Simplify (+ 0 0) into 0
0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.143 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
0.143 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.143 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.143 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.143 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.143 * [taylor]: Taking taylor expansion of -1 in z
0.143 * [backup-simplify]: Simplify -1 into -1
0.143 * [taylor]: Taking taylor expansion of z in z
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (/ -1 1) into -1
0.144 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.144 * [taylor]: Taking taylor expansion of -1 in z
0.144 * [backup-simplify]: Simplify -1 into -1
0.144 * [taylor]: Taking taylor expansion of z in z
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (/ -1 1) into -1
0.144 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.144 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.144 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.144 * [taylor]: Taking taylor expansion of -1 in z
0.144 * [backup-simplify]: Simplify -1 into -1
0.144 * [taylor]: Taking taylor expansion of x in z
0.144 * [backup-simplify]: Simplify x into x
0.144 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.144 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.144 * [taylor]: Taking taylor expansion of -1 in z
0.144 * [backup-simplify]: Simplify -1 into -1
0.144 * [taylor]: Taking taylor expansion of x in z
0.144 * [backup-simplify]: Simplify x into x
0.144 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.144 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.144 * [taylor]: Taking taylor expansion of y in z
0.144 * [backup-simplify]: Simplify y into y
0.145 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.145 * [backup-simplify]: Simplify (* -1 -1) into 1
0.145 * [backup-simplify]: Simplify (+ 1 0) into 1
0.145 * [backup-simplify]: Simplify (sqrt 1) into 1
0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.147 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.147 * [taylor]: Taking taylor expansion of 1 in x
0.147 * [backup-simplify]: Simplify 1 into 1
0.147 * [taylor]: Taking taylor expansion of 0 in x
0.148 * [backup-simplify]: Simplify 0 into 0
0.148 * [taylor]: Taking taylor expansion of 1 in y
0.148 * [backup-simplify]: Simplify 1 into 1
0.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.149 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.149 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
0.150 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.150 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.151 * [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))))
0.151 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.151 * [taylor]: Taking taylor expansion of 1/2 in x
0.151 * [backup-simplify]: Simplify 1/2 into 1/2
0.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.151 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.151 * [taylor]: Taking taylor expansion of x in x
0.151 * [backup-simplify]: Simplify 0 into 0
0.151 * [backup-simplify]: Simplify 1 into 1
0.151 * [backup-simplify]: Simplify (* 1 1) into 1
0.151 * [backup-simplify]: Simplify (/ 1 1) into 1
0.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.151 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.151 * [taylor]: Taking taylor expansion of y in x
0.151 * [backup-simplify]: Simplify y into y
0.151 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.152 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.153 * [backup-simplify]: Simplify (+ 0 0) into 0
0.153 * [backup-simplify]: Simplify (+ 1 0) into 1
0.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.154 * [taylor]: Taking taylor expansion of 0 in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [taylor]: Taking taylor expansion of 0 in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [taylor]: Taking taylor expansion of 0 in y
0.154 * [backup-simplify]: Simplify 0 into 0
0.154 * [backup-simplify]: Simplify 1 into 1
0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.156 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.156 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.156 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
0.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.157 * [taylor]: Taking taylor expansion of 0 in x
0.157 * [backup-simplify]: Simplify 0 into 0
0.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.158 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.159 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
0.159 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
0.159 * [taylor]: Taking taylor expansion of 1/2 in y
0.159 * [backup-simplify]: Simplify 1/2 into 1/2
0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.159 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.159 * [taylor]: Taking taylor expansion of y in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [backup-simplify]: Simplify (* 1 1) into 1
0.159 * [backup-simplify]: Simplify (/ 1 1) into 1
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [taylor]: Taking taylor expansion of 0 in y
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [taylor]: Taking taylor expansion of 0 in y
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.162 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.163 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.163 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.163 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.163 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
0.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [backup-simplify]: Simplify (+ 0 0) into 0
0.169 * [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))))))
0.169 * [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
0.169 * [taylor]: Taking taylor expansion of -1/2 in x
0.169 * [backup-simplify]: Simplify -1/2 into -1/2
0.169 * [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
0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
0.169 * [taylor]: Taking taylor expansion of 1/2 in x
0.169 * [backup-simplify]: Simplify 1/2 into 1/2
0.169 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
0.169 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x
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 * [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
0.169 * [backup-simplify]: Simplify (* 1 1) into 1
0.169 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.170 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
0.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.170 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
0.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
0.170 * [taylor]: Taking taylor expansion of 1/4 in x
0.170 * [backup-simplify]: Simplify 1/4 into 1/4
0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.170 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.170 * [taylor]: Taking taylor expansion of x in x
0.170 * [backup-simplify]: Simplify 0 into 0
0.170 * [backup-simplify]: Simplify 1 into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.170 * [backup-simplify]: Simplify (* 1 1) into 1
0.171 * [backup-simplify]: Simplify (/ 1 1) into 1
0.171 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
0.171 * [taylor]: Taking taylor expansion of 1/4 in x
0.171 * [backup-simplify]: Simplify 1/4 into 1/4
0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
0.171 * [taylor]: Taking taylor expansion of (pow y 4) in x
0.171 * [taylor]: Taking taylor expansion of y in x
0.171 * [backup-simplify]: Simplify y into y
0.171 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.171 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
0.171 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
0.171 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
0.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.180 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
0.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
0.181 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (+ 0 0) into 0
0.182 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.182 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.183 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.183 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.183 * [taylor]: Taking taylor expansion of 0 in y
0.183 * [backup-simplify]: Simplify 0 into 0
0.183 * [taylor]: Taking taylor expansion of 0 in y
0.183 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.186 * [taylor]: Taking taylor expansion of 0 in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [taylor]: Taking taylor expansion of 0 in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [taylor]: Taking taylor expansion of 0 in y
0.186 * [backup-simplify]: Simplify 0 into 0
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
0.188 * * * [progress]: simplifying candidates
0.188 * [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)
0.188 * * [simplify]: Extracting # 0 : cost  0
0.188 * * [simplify]: Extracting # 1 : cost  0
0.188 * * [simplify]: Extracting # 2 : cost  0
0.188 * * [simplify]: Extracting # 3 : cost  0
0.189 * * [simplify]: Extracting # 4 : cost  0
0.189 * * [simplify]: Extracting # 5 : cost  0
0.189 * * [simplify]: Extracting # 6 : cost  0
0.189 * * [simplify]: Extracting # 7 : cost  0
0.189 * * [simplify]: iteration  0 :  26  enodes  (cost  207 )
0.193 * * [simplify]: Extracting # 0 : cost  0
0.193 * * [simplify]: Extracting # 1 : cost  0
0.193 * * [simplify]: Extracting # 2 : cost  0
0.193 * * [simplify]: iteration  1 :  38  enodes  (cost  180 )
0.198 * * [simplify]: Extracting # 0 : cost  0
0.198 * * [simplify]: Extracting # 1 : cost  0
0.198 * * [simplify]: Extracting # 2 : cost  0
0.198 * * [simplify]: Extracting # 3 : cost  0
0.198 * * [simplify]: iteration  2 :  52  enodes  (cost  172 )
0.205 * * [simplify]: Extracting # 0 : cost  0
0.206 * * [simplify]: Extracting # 1 : cost  0
0.206 * * [simplify]: Extracting # 2 : cost  0
0.206 * * [simplify]: Extracting # 3 : cost  0
0.206 * * [simplify]: iteration  3 :  85  enodes  (cost  172 )
0.222 * * [simplify]: Extracting # 0 : cost  0
0.222 * * [simplify]: Extracting # 1 : cost  0
0.222 * * [simplify]: Extracting # 2 : cost  0
0.222 * * [simplify]: Extracting # 3 : cost  0
0.222 * * [simplify]: iteration  4 :  144  enodes  (cost  172 )
0.261 * * [simplify]: Extracting # 0 : cost  0
0.261 * * [simplify]: Extracting # 1 : cost  0
0.261 * * [simplify]: Extracting # 2 : cost  0
0.261 * * [simplify]: Extracting # 3 : cost  0
0.261 * * [simplify]: Extracting # 4 : cost  0
0.262 * * [simplify]: iteration  5 :  239  enodes  (cost  172 )
0.300 * * [simplify]: Extracting # 0 : cost  0
0.301 * * [simplify]: Extracting # 1 : cost  0
0.301 * * [simplify]: Extracting # 2 : cost  0
0.301 * * [simplify]: Extracting # 3 : cost  0
0.301 * * [simplify]: Extracting # 4 : cost  0
0.301 * * [simplify]: iteration  6 :  312  enodes  (cost  172 )
0.360 * * [simplify]: Extracting # 0 : cost  0
0.361 * * [simplify]: Extracting # 1 : cost  0
0.361 * * [simplify]: Extracting # 2 : cost  0
0.361 * * [simplify]: Extracting # 3 : cost  0
0.362 * * [simplify]: Extracting # 4 : cost  0
0.362 * * [simplify]: iteration  7 :  490  enodes  (cost  172 )
0.505 * * [simplify]: Extracting # 0 : cost  0
0.505 * * [simplify]: Extracting # 1 : cost  0
0.506 * * [simplify]: Extracting # 2 : cost  0
0.507 * * [simplify]: Extracting # 3 : cost  0
0.507 * * [simplify]: iteration  8 :  1166  enodes  (cost  172 )
1.478 * * [simplify]: Extracting # 0 : cost  0
1.490 * * [simplify]: Extracting # 1 : cost  0
1.494 * * [simplify]: Extracting # 2 : cost  0
1.498 * * [simplify]: Extracting # 3 : cost  0
1.502 * * [simplify]: Extracting # 4 : cost  0
1.506 * * [simplify]: iteration done:  5000  enodes  (cost  172 )
1.506 * [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)
1.506 * * * [progress]: adding candidates to table
1.553 * * [progress]: iteration 2 / 4
1.553 * * * [progress]: picking best candidate
1.558 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))>
1.558 * * * [progress]: localizing error
1.570 * * * [progress]: generating rewritten candidates
1.570 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1)
1.571 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.573 * * * * [progress]: [ 3 / 3 ] rewriting at (2)
1.603 * * * [progress]: generating series expansions
1.603 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1)
1.603 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
1.603 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
1.603 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
1.603 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
1.603 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.603 * [taylor]: Taking taylor expansion of (* z z) in y
1.603 * [taylor]: Taking taylor expansion of z in y
1.603 * [backup-simplify]: Simplify z into z
1.603 * [taylor]: Taking taylor expansion of z in y
1.603 * [backup-simplify]: Simplify z into z
1.603 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
1.603 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.603 * [taylor]: Taking taylor expansion of (* x x) in y
1.603 * [taylor]: Taking taylor expansion of x in y
1.603 * [backup-simplify]: Simplify x into x
1.603 * [taylor]: Taking taylor expansion of x in y
1.604 * [backup-simplify]: Simplify x into x
1.604 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.604 * [taylor]: Taking taylor expansion of y in y
1.604 * [backup-simplify]: Simplify 0 into 0
1.604 * [backup-simplify]: Simplify 1 into 1
1.604 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.604 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.604 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.604 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
1.604 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.604 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.604 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.605 * [backup-simplify]: Simplify (+ 0 0) into 0
1.605 * [backup-simplify]: Simplify (+ 0 0) into 0
1.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.605 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
1.605 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
1.605 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.605 * [taylor]: Taking taylor expansion of (* z z) in x
1.605 * [taylor]: Taking taylor expansion of z in x
1.606 * [backup-simplify]: Simplify z into z
1.606 * [taylor]: Taking taylor expansion of z in x
1.606 * [backup-simplify]: Simplify z into z
1.606 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
1.606 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.606 * [taylor]: Taking taylor expansion of (* x x) in x
1.606 * [taylor]: Taking taylor expansion of x in x
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.606 * [taylor]: Taking taylor expansion of x in x
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.606 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.606 * [taylor]: Taking taylor expansion of y in x
1.606 * [backup-simplify]: Simplify y into y
1.606 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.606 * [backup-simplify]: Simplify (* 0 0) into 0
1.606 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.606 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.606 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
1.607 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.607 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.607 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.607 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.607 * [backup-simplify]: Simplify (+ 0 0) into 0
1.608 * [backup-simplify]: Simplify (+ 0 0) into 0
1.608 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.608 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
1.608 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
1.608 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.608 * [taylor]: Taking taylor expansion of (* z z) in z
1.608 * [taylor]: Taking taylor expansion of z in z
1.608 * [backup-simplify]: Simplify 0 into 0
1.608 * [backup-simplify]: Simplify 1 into 1
1.608 * [taylor]: Taking taylor expansion of z in z
1.608 * [backup-simplify]: Simplify 0 into 0
1.608 * [backup-simplify]: Simplify 1 into 1
1.608 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
1.608 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.608 * [taylor]: Taking taylor expansion of (* x x) in z
1.608 * [taylor]: Taking taylor expansion of x in z
1.608 * [backup-simplify]: Simplify x into x
1.608 * [taylor]: Taking taylor expansion of x in z
1.608 * [backup-simplify]: Simplify x into x
1.608 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.608 * [taylor]: Taking taylor expansion of y in z
1.608 * [backup-simplify]: Simplify y into y
1.608 * [backup-simplify]: Simplify (* 0 0) into 0
1.608 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.609 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.609 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.609 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
1.609 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.609 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.609 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.609 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.610 * [backup-simplify]: Simplify (+ 0 0) into 0
1.610 * [backup-simplify]: Simplify (+ 0 0) into 0
1.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.610 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
1.610 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
1.610 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.610 * [taylor]: Taking taylor expansion of (* z z) in z
1.610 * [taylor]: Taking taylor expansion of z in z
1.610 * [backup-simplify]: Simplify 0 into 0
1.610 * [backup-simplify]: Simplify 1 into 1
1.610 * [taylor]: Taking taylor expansion of z in z
1.610 * [backup-simplify]: Simplify 0 into 0
1.610 * [backup-simplify]: Simplify 1 into 1
1.610 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
1.610 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.611 * [taylor]: Taking taylor expansion of (* x x) in z
1.611 * [taylor]: Taking taylor expansion of x in z
1.611 * [backup-simplify]: Simplify x into x
1.611 * [taylor]: Taking taylor expansion of x in z
1.611 * [backup-simplify]: Simplify x into x
1.611 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.611 * [taylor]: Taking taylor expansion of y in z
1.611 * [backup-simplify]: Simplify y into y
1.611 * [backup-simplify]: Simplify (* 0 0) into 0
1.611 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.611 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.611 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.611 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
1.611 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.612 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.612 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.612 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.612 * [backup-simplify]: Simplify (+ 0 0) into 0
1.612 * [backup-simplify]: Simplify (+ 0 0) into 0
1.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.613 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.613 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.613 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.613 * [taylor]: Taking taylor expansion of x in x
1.613 * [backup-simplify]: Simplify 0 into 0
1.613 * [backup-simplify]: Simplify 1 into 1
1.613 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.613 * [taylor]: Taking taylor expansion of y in x
1.613 * [backup-simplify]: Simplify y into y
1.613 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.613 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.613 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.613 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.613 * [backup-simplify]: Simplify (+ 0 0) into 0
1.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.613 * [taylor]: Taking taylor expansion of y in y
1.613 * [backup-simplify]: Simplify 0 into 0
1.613 * [backup-simplify]: Simplify 1 into 1
1.613 * [backup-simplify]: Simplify 0 into 0
1.613 * [taylor]: Taking taylor expansion of 0 in x
1.613 * [backup-simplify]: Simplify 0 into 0
1.613 * [taylor]: Taking taylor expansion of 0 in y
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [taylor]: Taking taylor expansion of 0 in y
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 1 into 1
1.614 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
1.614 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
1.615 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.615 * [backup-simplify]: Simplify (+ 0 0) into 0
1.615 * [backup-simplify]: Simplify (+ 1 0) into 1
1.616 * [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)))))
1.616 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
1.616 * [taylor]: Taking taylor expansion of 1/2 in x
1.616 * [backup-simplify]: Simplify 1/2 into 1/2
1.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
1.616 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
1.616 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.616 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.616 * [taylor]: Taking taylor expansion of x in x
1.616 * [backup-simplify]: Simplify 0 into 0
1.616 * [backup-simplify]: Simplify 1 into 1
1.616 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.616 * [taylor]: Taking taylor expansion of y in x
1.616 * [backup-simplify]: Simplify y into y
1.616 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.616 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.616 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.616 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
1.616 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.617 * [backup-simplify]: Simplify (+ 0 0) into 0
1.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
1.617 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.617 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.617 * [taylor]: Taking taylor expansion of 1/2 in y
1.617 * [backup-simplify]: Simplify 1/2 into 1/2
1.617 * [taylor]: Taking taylor expansion of y in y
1.617 * [backup-simplify]: Simplify 0 into 0
1.617 * [backup-simplify]: Simplify 1 into 1
1.617 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.618 * [backup-simplify]: Simplify 0 into 0
1.618 * [taylor]: Taking taylor expansion of 0 in y
1.618 * [backup-simplify]: Simplify 0 into 0
1.618 * [backup-simplify]: Simplify 0 into 0
1.618 * [backup-simplify]: Simplify (* 1 1) into 1
1.618 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.619 * [backup-simplify]: Simplify (+ 1 0) into 1
1.619 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.619 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.619 * [taylor]: Taking taylor expansion of 1/2 in y
1.619 * [backup-simplify]: Simplify 1/2 into 1/2
1.619 * [taylor]: Taking taylor expansion of y in y
1.619 * [backup-simplify]: Simplify 0 into 0
1.619 * [backup-simplify]: Simplify 1 into 1
1.619 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.620 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify 0 into 0
1.620 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
1.621 * [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)))))
1.621 * [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
1.621 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
1.621 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
1.621 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.621 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
1.621 * [taylor]: Taking taylor expansion of (/ 1 z) in y
1.621 * [taylor]: Taking taylor expansion of z in y
1.621 * [backup-simplify]: Simplify z into z
1.621 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.621 * [taylor]: Taking taylor expansion of (/ 1 z) in y
1.621 * [taylor]: Taking taylor expansion of z in y
1.621 * [backup-simplify]: Simplify z into z
1.621 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.621 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
1.621 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.621 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.621 * [taylor]: Taking taylor expansion of x in y
1.621 * [backup-simplify]: Simplify x into x
1.621 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.621 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.621 * [taylor]: Taking taylor expansion of x in y
1.621 * [backup-simplify]: Simplify x into x
1.621 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.621 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.621 * [taylor]: Taking taylor expansion of y in y
1.621 * [backup-simplify]: Simplify 0 into 0
1.621 * [backup-simplify]: Simplify 1 into 1
1.622 * [backup-simplify]: Simplify (* 1 1) into 1
1.622 * [backup-simplify]: Simplify (/ 1 1) into 1
1.622 * [backup-simplify]: Simplify (+ 0 1) into 1
1.622 * [backup-simplify]: Simplify (+ 0 1) into 1
1.623 * [backup-simplify]: Simplify (sqrt 1) into 1
1.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.624 * [backup-simplify]: Simplify (+ 0 0) into 0
1.624 * [backup-simplify]: Simplify (+ 0 0) into 0
1.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.624 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
1.624 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
1.624 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.624 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
1.624 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.624 * [taylor]: Taking taylor expansion of z in x
1.624 * [backup-simplify]: Simplify z into z
1.624 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.625 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.625 * [taylor]: Taking taylor expansion of z in x
1.625 * [backup-simplify]: Simplify z into z
1.625 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.625 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
1.625 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.625 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.625 * [taylor]: Taking taylor expansion of x in x
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [backup-simplify]: Simplify (/ 1 1) into 1
1.625 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.625 * [taylor]: Taking taylor expansion of x in x
1.625 * [backup-simplify]: Simplify 0 into 0
1.625 * [backup-simplify]: Simplify 1 into 1
1.625 * [backup-simplify]: Simplify (/ 1 1) into 1
1.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.625 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.625 * [taylor]: Taking taylor expansion of y in x
1.625 * [backup-simplify]: Simplify y into y
1.625 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.626 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.626 * [backup-simplify]: Simplify (* 1 1) into 1
1.626 * [backup-simplify]: Simplify (+ 1 0) into 1
1.626 * [backup-simplify]: Simplify (+ 0 1) into 1
1.626 * [backup-simplify]: Simplify (sqrt 1) into 1
1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.628 * [backup-simplify]: Simplify (+ 0 0) into 0
1.628 * [backup-simplify]: Simplify (+ 0 0) into 0
1.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.629 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
1.629 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
1.629 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.629 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
1.629 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.629 * [taylor]: Taking taylor expansion of z in z
1.629 * [backup-simplify]: Simplify 0 into 0
1.629 * [backup-simplify]: Simplify 1 into 1
1.629 * [backup-simplify]: Simplify (/ 1 1) into 1
1.629 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.629 * [taylor]: Taking taylor expansion of z in z
1.629 * [backup-simplify]: Simplify 0 into 0
1.629 * [backup-simplify]: Simplify 1 into 1
1.630 * [backup-simplify]: Simplify (/ 1 1) into 1
1.630 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
1.630 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.630 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.630 * [taylor]: Taking taylor expansion of x in z
1.630 * [backup-simplify]: Simplify x into x
1.630 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.630 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.630 * [taylor]: Taking taylor expansion of x in z
1.630 * [backup-simplify]: Simplify x into x
1.630 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.630 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.630 * [taylor]: Taking taylor expansion of y in z
1.630 * [backup-simplify]: Simplify y into y
1.630 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.630 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.630 * [backup-simplify]: Simplify (* 1 1) into 1
1.631 * [backup-simplify]: Simplify (+ 1 0) into 1
1.631 * [backup-simplify]: Simplify (sqrt 1) into 1
1.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.632 * [backup-simplify]: Simplify (+ 0 0) into 0
1.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.633 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
1.633 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
1.633 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.633 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
1.633 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.633 * [taylor]: Taking taylor expansion of z in z
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify 1 into 1
1.633 * [backup-simplify]: Simplify (/ 1 1) into 1
1.633 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.633 * [taylor]: Taking taylor expansion of z in z
1.633 * [backup-simplify]: Simplify 0 into 0
1.633 * [backup-simplify]: Simplify 1 into 1
1.633 * [backup-simplify]: Simplify (/ 1 1) into 1
1.633 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
1.634 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.634 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.634 * [taylor]: Taking taylor expansion of x in z
1.634 * [backup-simplify]: Simplify x into x
1.634 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.634 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.634 * [taylor]: Taking taylor expansion of x in z
1.634 * [backup-simplify]: Simplify x into x
1.634 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.634 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.634 * [taylor]: Taking taylor expansion of y in z
1.634 * [backup-simplify]: Simplify y into y
1.634 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.634 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.634 * [backup-simplify]: Simplify (* 1 1) into 1
1.634 * [backup-simplify]: Simplify (+ 1 0) into 1
1.635 * [backup-simplify]: Simplify (sqrt 1) into 1
1.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.636 * [backup-simplify]: Simplify (+ 0 0) into 0
1.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.637 * [taylor]: Taking taylor expansion of 1 in x
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [taylor]: Taking taylor expansion of 0 in x
1.637 * [backup-simplify]: Simplify 0 into 0
1.637 * [taylor]: Taking taylor expansion of 1 in y
1.637 * [backup-simplify]: Simplify 1 into 1
1.637 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.638 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
1.638 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.639 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.640 * [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))))
1.640 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.640 * [taylor]: Taking taylor expansion of 1/2 in x
1.640 * [backup-simplify]: Simplify 1/2 into 1/2
1.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.640 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.640 * [taylor]: Taking taylor expansion of x in x
1.640 * [backup-simplify]: Simplify 0 into 0
1.640 * [backup-simplify]: Simplify 1 into 1
1.640 * [backup-simplify]: Simplify (* 1 1) into 1
1.640 * [backup-simplify]: Simplify (/ 1 1) into 1
1.640 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.640 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.640 * [taylor]: Taking taylor expansion of y in x
1.640 * [backup-simplify]: Simplify y into y
1.640 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.640 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.641 * [backup-simplify]: Simplify (+ 0 0) into 0
1.642 * [backup-simplify]: Simplify (+ 1 0) into 1
1.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.642 * [taylor]: Taking taylor expansion of 0 in y
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [taylor]: Taking taylor expansion of 0 in y
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [taylor]: Taking taylor expansion of 0 in y
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 1 into 1
1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.644 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
1.644 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.645 * [backup-simplify]: Simplify (+ 0 0) into 0
1.645 * [backup-simplify]: Simplify (+ 0 0) into 0
1.645 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.645 * [taylor]: Taking taylor expansion of 0 in x
1.645 * [backup-simplify]: Simplify 0 into 0
1.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.647 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.647 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
1.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
1.647 * [taylor]: Taking taylor expansion of 1/2 in y
1.647 * [backup-simplify]: Simplify 1/2 into 1/2
1.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.647 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.647 * [taylor]: Taking taylor expansion of y in y
1.647 * [backup-simplify]: Simplify 0 into 0
1.647 * [backup-simplify]: Simplify 1 into 1
1.647 * [backup-simplify]: Simplify (* 1 1) into 1
1.648 * [backup-simplify]: Simplify (/ 1 1) into 1
1.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.649 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [taylor]: Taking taylor expansion of 0 in y
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [taylor]: Taking taylor expansion of 0 in y
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [backup-simplify]: Simplify 0 into 0
1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.651 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
1.652 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.652 * [backup-simplify]: Simplify (+ 0 0) into 0
1.652 * [backup-simplify]: Simplify (+ 0 0) into 0
1.653 * [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))))))
1.653 * [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
1.653 * [taylor]: Taking taylor expansion of -1/2 in x
1.653 * [backup-simplify]: Simplify -1/2 into -1/2
1.653 * [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
1.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
1.653 * [taylor]: Taking taylor expansion of 1/2 in x
1.653 * [backup-simplify]: Simplify 1/2 into 1/2
1.653 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
1.653 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
1.653 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.653 * [taylor]: Taking taylor expansion of x in x
1.653 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 1 into 1
1.654 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.654 * [taylor]: Taking taylor expansion of y in x
1.654 * [backup-simplify]: Simplify y into y
1.654 * [backup-simplify]: Simplify (* 1 1) into 1
1.654 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.654 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
1.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.654 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
1.654 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
1.654 * [taylor]: Taking taylor expansion of 1/4 in x
1.654 * [backup-simplify]: Simplify 1/4 into 1/4
1.654 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.654 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.654 * [taylor]: Taking taylor expansion of x in x
1.654 * [backup-simplify]: Simplify 0 into 0
1.654 * [backup-simplify]: Simplify 1 into 1
1.654 * [backup-simplify]: Simplify (* 1 1) into 1
1.655 * [backup-simplify]: Simplify (* 1 1) into 1
1.655 * [backup-simplify]: Simplify (/ 1 1) into 1
1.655 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
1.655 * [taylor]: Taking taylor expansion of 1/4 in x
1.655 * [backup-simplify]: Simplify 1/4 into 1/4
1.655 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
1.655 * [taylor]: Taking taylor expansion of (pow y 4) in x
1.655 * [taylor]: Taking taylor expansion of y in x
1.655 * [backup-simplify]: Simplify y into y
1.655 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.655 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
1.656 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
1.656 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
1.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.657 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.664 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.665 * [backup-simplify]: Simplify (+ 0 0) into 0
1.665 * [backup-simplify]: Simplify (+ 0 0) into 0
1.665 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
1.666 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.666 * [backup-simplify]: Simplify (+ 0 0) into 0
1.666 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
1.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.667 * [backup-simplify]: Simplify (+ 0 0) into 0
1.668 * [backup-simplify]: Simplify (+ 0 0) into 0
1.668 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.668 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.669 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.670 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.670 * [taylor]: Taking taylor expansion of 0 in y
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [taylor]: Taking taylor expansion of 0 in y
1.670 * [backup-simplify]: Simplify 0 into 0
1.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.671 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.672 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.672 * [backup-simplify]: Simplify (+ 0 0) into 0
1.673 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
1.673 * [taylor]: Taking taylor expansion of 0 in y
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [taylor]: Taking taylor expansion of 0 in y
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [taylor]: Taking taylor expansion of 0 in y
1.673 * [backup-simplify]: Simplify 0 into 0
1.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.675 * [backup-simplify]: Simplify 0 into 0
1.675 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
1.676 * [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)))))
1.676 * [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
1.676 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
1.676 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
1.676 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
1.676 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
1.676 * [taylor]: Taking taylor expansion of (/ -1 z) in y
1.676 * [taylor]: Taking taylor expansion of -1 in y
1.676 * [backup-simplify]: Simplify -1 into -1
1.676 * [taylor]: Taking taylor expansion of z in y
1.676 * [backup-simplify]: Simplify z into z
1.676 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.676 * [taylor]: Taking taylor expansion of (/ -1 z) in y
1.676 * [taylor]: Taking taylor expansion of -1 in y
1.676 * [backup-simplify]: Simplify -1 into -1
1.676 * [taylor]: Taking taylor expansion of z in y
1.676 * [backup-simplify]: Simplify z into z
1.677 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.677 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
1.677 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
1.677 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in y
1.677 * [taylor]: Taking taylor expansion of -1 in y
1.677 * [backup-simplify]: Simplify -1 into -1
1.677 * [taylor]: Taking taylor expansion of x in y
1.677 * [backup-simplify]: Simplify x into x
1.677 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.677 * [taylor]: Taking taylor expansion of (/ -1 x) in y
1.677 * [taylor]: Taking taylor expansion of -1 in y
1.677 * [backup-simplify]: Simplify -1 into -1
1.677 * [taylor]: Taking taylor expansion of x in y
1.677 * [backup-simplify]: Simplify x into x
1.677 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.677 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.677 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.677 * [taylor]: Taking taylor expansion of y in y
1.677 * [backup-simplify]: Simplify 0 into 0
1.677 * [backup-simplify]: Simplify 1 into 1
1.677 * [backup-simplify]: Simplify (* 1 1) into 1
1.678 * [backup-simplify]: Simplify (/ 1 1) into 1
1.678 * [backup-simplify]: Simplify (+ 0 1) into 1
1.678 * [backup-simplify]: Simplify (+ 0 1) into 1
1.679 * [backup-simplify]: Simplify (sqrt 1) into 1
1.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.680 * [backup-simplify]: Simplify (+ 0 0) into 0
1.681 * [backup-simplify]: Simplify (+ 0 0) into 0
1.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.681 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
1.681 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
1.681 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
1.681 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
1.681 * [taylor]: Taking taylor expansion of (/ -1 z) in x
1.681 * [taylor]: Taking taylor expansion of -1 in x
1.681 * [backup-simplify]: Simplify -1 into -1
1.681 * [taylor]: Taking taylor expansion of z in x
1.681 * [backup-simplify]: Simplify z into z
1.682 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.682 * [taylor]: Taking taylor expansion of (/ -1 z) in x
1.682 * [taylor]: Taking taylor expansion of -1 in x
1.682 * [backup-simplify]: Simplify -1 into -1
1.682 * [taylor]: Taking taylor expansion of z in x
1.682 * [backup-simplify]: Simplify z into z
1.682 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.682 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
1.682 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
1.682 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
1.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.682 * [taylor]: Taking taylor expansion of -1 in x
1.682 * [backup-simplify]: Simplify -1 into -1
1.682 * [taylor]: Taking taylor expansion of x in x
1.682 * [backup-simplify]: Simplify 0 into 0
1.682 * [backup-simplify]: Simplify 1 into 1
1.682 * [backup-simplify]: Simplify (/ -1 1) into -1
1.682 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.682 * [taylor]: Taking taylor expansion of -1 in x
1.682 * [backup-simplify]: Simplify -1 into -1
1.682 * [taylor]: Taking taylor expansion of x in x
1.682 * [backup-simplify]: Simplify 0 into 0
1.683 * [backup-simplify]: Simplify 1 into 1
1.683 * [backup-simplify]: Simplify (/ -1 1) into -1
1.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.683 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.683 * [taylor]: Taking taylor expansion of y in x
1.683 * [backup-simplify]: Simplify y into y
1.683 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.683 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.683 * [backup-simplify]: Simplify (* -1 -1) into 1
1.684 * [backup-simplify]: Simplify (+ 1 0) into 1
1.684 * [backup-simplify]: Simplify (+ 0 1) into 1
1.684 * [backup-simplify]: Simplify (sqrt 1) into 1
1.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.686 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.687 * [backup-simplify]: Simplify (+ 0 0) into 0
1.687 * [backup-simplify]: Simplify (+ 0 0) into 0
1.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.688 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
1.688 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
1.688 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
1.688 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
1.688 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.688 * [taylor]: Taking taylor expansion of -1 in z
1.688 * [backup-simplify]: Simplify -1 into -1
1.688 * [taylor]: Taking taylor expansion of z in z
1.688 * [backup-simplify]: Simplify 0 into 0
1.688 * [backup-simplify]: Simplify 1 into 1
1.688 * [backup-simplify]: Simplify (/ -1 1) into -1
1.688 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.688 * [taylor]: Taking taylor expansion of -1 in z
1.688 * [backup-simplify]: Simplify -1 into -1
1.688 * [taylor]: Taking taylor expansion of z in z
1.688 * [backup-simplify]: Simplify 0 into 0
1.688 * [backup-simplify]: Simplify 1 into 1
1.689 * [backup-simplify]: Simplify (/ -1 1) into -1
1.689 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
1.689 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
1.689 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
1.689 * [taylor]: Taking taylor expansion of (/ -1 x) in z
1.689 * [taylor]: Taking taylor expansion of -1 in z
1.689 * [backup-simplify]: Simplify -1 into -1
1.689 * [taylor]: Taking taylor expansion of x in z
1.689 * [backup-simplify]: Simplify x into x
1.689 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.689 * [taylor]: Taking taylor expansion of (/ -1 x) in z
1.689 * [taylor]: Taking taylor expansion of -1 in z
1.689 * [backup-simplify]: Simplify -1 into -1
1.689 * [taylor]: Taking taylor expansion of x in z
1.689 * [backup-simplify]: Simplify x into x
1.689 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.689 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.689 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.689 * [taylor]: Taking taylor expansion of y in z
1.689 * [backup-simplify]: Simplify y into y
1.689 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.690 * [backup-simplify]: Simplify (* -1 -1) into 1
1.690 * [backup-simplify]: Simplify (+ 1 0) into 1
1.691 * [backup-simplify]: Simplify (sqrt 1) into 1
1.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.696 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.697 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.697 * [backup-simplify]: Simplify (+ 0 0) into 0
1.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.698 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
1.698 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
1.698 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
1.698 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
1.698 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.698 * [taylor]: Taking taylor expansion of -1 in z
1.698 * [backup-simplify]: Simplify -1 into -1
1.698 * [taylor]: Taking taylor expansion of z in z
1.698 * [backup-simplify]: Simplify 0 into 0
1.698 * [backup-simplify]: Simplify 1 into 1
1.698 * [backup-simplify]: Simplify (/ -1 1) into -1
1.698 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.699 * [taylor]: Taking taylor expansion of -1 in z
1.699 * [backup-simplify]: Simplify -1 into -1
1.699 * [taylor]: Taking taylor expansion of z in z
1.699 * [backup-simplify]: Simplify 0 into 0
1.699 * [backup-simplify]: Simplify 1 into 1
1.699 * [backup-simplify]: Simplify (/ -1 1) into -1
1.699 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
1.699 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
1.699 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
1.699 * [taylor]: Taking taylor expansion of (/ -1 x) in z
1.699 * [taylor]: Taking taylor expansion of -1 in z
1.699 * [backup-simplify]: Simplify -1 into -1
1.699 * [taylor]: Taking taylor expansion of x in z
1.699 * [backup-simplify]: Simplify x into x
1.699 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.699 * [taylor]: Taking taylor expansion of (/ -1 x) in z
1.699 * [taylor]: Taking taylor expansion of -1 in z
1.699 * [backup-simplify]: Simplify -1 into -1
1.699 * [taylor]: Taking taylor expansion of x in z
1.699 * [backup-simplify]: Simplify x into x
1.700 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.700 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.700 * [taylor]: Taking taylor expansion of y in z
1.700 * [backup-simplify]: Simplify y into y
1.700 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.700 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.700 * [backup-simplify]: Simplify (* -1 -1) into 1
1.700 * [backup-simplify]: Simplify (+ 1 0) into 1
1.701 * [backup-simplify]: Simplify (sqrt 1) into 1
1.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.703 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.703 * [backup-simplify]: Simplify (+ 0 0) into 0
1.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.704 * [taylor]: Taking taylor expansion of 1 in x
1.704 * [backup-simplify]: Simplify 1 into 1
1.704 * [taylor]: Taking taylor expansion of 0 in x
1.704 * [backup-simplify]: Simplify 0 into 0
1.704 * [taylor]: Taking taylor expansion of 1 in y
1.704 * [backup-simplify]: Simplify 1 into 1
1.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.706 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
1.707 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
1.707 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.707 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.709 * [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))))
1.709 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.709 * [taylor]: Taking taylor expansion of 1/2 in x
1.709 * [backup-simplify]: Simplify 1/2 into 1/2
1.709 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.709 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.709 * [taylor]: Taking taylor expansion of x in x
1.709 * [backup-simplify]: Simplify 0 into 0
1.709 * [backup-simplify]: Simplify 1 into 1
1.709 * [backup-simplify]: Simplify (* 1 1) into 1
1.709 * [backup-simplify]: Simplify (/ 1 1) into 1
1.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.710 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.710 * [taylor]: Taking taylor expansion of y in x
1.710 * [backup-simplify]: Simplify y into y
1.710 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.710 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.711 * [backup-simplify]: Simplify (+ 0 0) into 0
1.712 * [backup-simplify]: Simplify (+ 1 0) into 1
1.712 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.712 * [taylor]: Taking taylor expansion of 0 in y
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [taylor]: Taking taylor expansion of 0 in y
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [taylor]: Taking taylor expansion of 0 in y
1.712 * [backup-simplify]: Simplify 0 into 0
1.712 * [backup-simplify]: Simplify 1 into 1
1.713 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.715 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
1.715 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
1.715 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
1.715 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
1.715 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.716 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.716 * [backup-simplify]: Simplify (+ 0 0) into 0
1.716 * [backup-simplify]: Simplify (+ 0 0) into 0
1.717 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.717 * [taylor]: Taking taylor expansion of 0 in x
1.717 * [backup-simplify]: Simplify 0 into 0
1.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.719 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.719 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
1.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
1.719 * [taylor]: Taking taylor expansion of 1/2 in y
1.719 * [backup-simplify]: Simplify 1/2 into 1/2
1.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.719 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.719 * [taylor]: Taking taylor expansion of y in y
1.719 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify 1 into 1
1.720 * [backup-simplify]: Simplify (* 1 1) into 1
1.720 * [backup-simplify]: Simplify (/ 1 1) into 1
1.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.722 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [taylor]: Taking taylor expansion of 0 in y
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [taylor]: Taking taylor expansion of 0 in y
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 0 into 0
1.723 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.725 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
1.725 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.725 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.726 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
1.726 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.727 * [backup-simplify]: Simplify (+ 0 0) into 0
1.727 * [backup-simplify]: Simplify (+ 0 0) into 0
1.728 * [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))))))
1.728 * [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
1.728 * [taylor]: Taking taylor expansion of -1/2 in x
1.728 * [backup-simplify]: Simplify -1/2 into -1/2
1.728 * [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
1.728 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
1.729 * [taylor]: Taking taylor expansion of 1/2 in x
1.729 * [backup-simplify]: Simplify 1/2 into 1/2
1.729 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
1.729 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
1.729 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.729 * [taylor]: Taking taylor expansion of x in x
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 1 into 1
1.729 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.729 * [taylor]: Taking taylor expansion of y in x
1.729 * [backup-simplify]: Simplify y into y
1.729 * [backup-simplify]: Simplify (* 1 1) into 1
1.729 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.729 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
1.729 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.729 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
1.729 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
1.729 * [taylor]: Taking taylor expansion of 1/4 in x
1.729 * [backup-simplify]: Simplify 1/4 into 1/4
1.730 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.730 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.730 * [taylor]: Taking taylor expansion of x in x
1.730 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify 1 into 1
1.730 * [backup-simplify]: Simplify (* 1 1) into 1
1.730 * [backup-simplify]: Simplify (* 1 1) into 1
1.731 * [backup-simplify]: Simplify (/ 1 1) into 1
1.731 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
1.731 * [taylor]: Taking taylor expansion of 1/4 in x
1.731 * [backup-simplify]: Simplify 1/4 into 1/4
1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
1.731 * [taylor]: Taking taylor expansion of (pow y 4) in x
1.731 * [taylor]: Taking taylor expansion of y in x
1.731 * [backup-simplify]: Simplify y into y
1.731 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.731 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
1.731 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
1.731 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
1.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.738 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.740 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.740 * [backup-simplify]: Simplify (+ 0 0) into 0
1.741 * [backup-simplify]: Simplify (+ 0 0) into 0
1.741 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
1.741 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.742 * [backup-simplify]: Simplify (+ 0 0) into 0
1.742 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
1.743 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.743 * [backup-simplify]: Simplify (+ 0 0) into 0
1.743 * [backup-simplify]: Simplify (+ 0 0) into 0
1.744 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.744 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.744 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.745 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.745 * [taylor]: Taking taylor expansion of 0 in y
1.745 * [backup-simplify]: Simplify 0 into 0
1.745 * [taylor]: Taking taylor expansion of 0 in y
1.745 * [backup-simplify]: Simplify 0 into 0
1.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.747 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.748 * [backup-simplify]: Simplify (+ 0 0) into 0
1.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
1.749 * [taylor]: Taking taylor expansion of 0 in y
1.749 * [backup-simplify]: Simplify 0 into 0
1.749 * [taylor]: Taking taylor expansion of 0 in y
1.749 * [backup-simplify]: Simplify 0 into 0
1.749 * [taylor]: Taking taylor expansion of 0 in y
1.749 * [backup-simplify]: Simplify 0 into 0
1.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.751 * [backup-simplify]: Simplify 0 into 0
1.751 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
1.751 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
1.751 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
1.751 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
1.752 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
1.752 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
1.752 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.752 * [taylor]: Taking taylor expansion of (* z z) in y
1.752 * [taylor]: Taking taylor expansion of z in y
1.752 * [backup-simplify]: Simplify z into z
1.752 * [taylor]: Taking taylor expansion of z in y
1.752 * [backup-simplify]: Simplify z into z
1.752 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
1.752 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.752 * [taylor]: Taking taylor expansion of (* x x) in y
1.752 * [taylor]: Taking taylor expansion of x in y
1.752 * [backup-simplify]: Simplify x into x
1.752 * [taylor]: Taking taylor expansion of x in y
1.752 * [backup-simplify]: Simplify x into x
1.752 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.752 * [taylor]: Taking taylor expansion of y in y
1.752 * [backup-simplify]: Simplify 0 into 0
1.752 * [backup-simplify]: Simplify 1 into 1
1.752 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.752 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.752 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.753 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
1.753 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.753 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.753 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.753 * [backup-simplify]: Simplify (+ 0 0) into 0
1.754 * [backup-simplify]: Simplify (+ 0 0) into 0
1.754 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.754 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
1.754 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
1.754 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.754 * [taylor]: Taking taylor expansion of (* z z) in x
1.754 * [taylor]: Taking taylor expansion of z in x
1.754 * [backup-simplify]: Simplify z into z
1.754 * [taylor]: Taking taylor expansion of z in x
1.754 * [backup-simplify]: Simplify z into z
1.754 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
1.754 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.754 * [taylor]: Taking taylor expansion of (* x x) in x
1.754 * [taylor]: Taking taylor expansion of x in x
1.754 * [backup-simplify]: Simplify 0 into 0
1.754 * [backup-simplify]: Simplify 1 into 1
1.754 * [taylor]: Taking taylor expansion of x in x
1.755 * [backup-simplify]: Simplify 0 into 0
1.755 * [backup-simplify]: Simplify 1 into 1
1.755 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.755 * [taylor]: Taking taylor expansion of y in x
1.755 * [backup-simplify]: Simplify y into y
1.755 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.755 * [backup-simplify]: Simplify (* 0 0) into 0
1.755 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.755 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.755 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
1.756 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.756 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.756 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.756 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.757 * [backup-simplify]: Simplify (+ 0 0) into 0
1.757 * [backup-simplify]: Simplify (+ 0 0) into 0
1.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.757 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
1.757 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
1.757 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.757 * [taylor]: Taking taylor expansion of (* z z) in z
1.757 * [taylor]: Taking taylor expansion of z in z
1.757 * [backup-simplify]: Simplify 0 into 0
1.757 * [backup-simplify]: Simplify 1 into 1
1.757 * [taylor]: Taking taylor expansion of z in z
1.758 * [backup-simplify]: Simplify 0 into 0
1.758 * [backup-simplify]: Simplify 1 into 1
1.758 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
1.758 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.758 * [taylor]: Taking taylor expansion of (* x x) in z
1.758 * [taylor]: Taking taylor expansion of x in z
1.758 * [backup-simplify]: Simplify x into x
1.758 * [taylor]: Taking taylor expansion of x in z
1.758 * [backup-simplify]: Simplify x into x
1.758 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.758 * [taylor]: Taking taylor expansion of y in z
1.758 * [backup-simplify]: Simplify y into y
1.758 * [backup-simplify]: Simplify (* 0 0) into 0
1.758 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.758 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.759 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.759 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
1.759 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.759 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.760 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.760 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.760 * [backup-simplify]: Simplify (+ 0 0) into 0
1.760 * [backup-simplify]: Simplify (+ 0 0) into 0
1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.761 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
1.761 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
1.761 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.761 * [taylor]: Taking taylor expansion of (* z z) in z
1.761 * [taylor]: Taking taylor expansion of z in z
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [taylor]: Taking taylor expansion of z in z
1.761 * [backup-simplify]: Simplify 0 into 0
1.761 * [backup-simplify]: Simplify 1 into 1
1.761 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
1.761 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.761 * [taylor]: Taking taylor expansion of (* x x) in z
1.761 * [taylor]: Taking taylor expansion of x in z
1.761 * [backup-simplify]: Simplify x into x
1.761 * [taylor]: Taking taylor expansion of x in z
1.761 * [backup-simplify]: Simplify x into x
1.761 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.761 * [taylor]: Taking taylor expansion of y in z
1.761 * [backup-simplify]: Simplify y into y
1.762 * [backup-simplify]: Simplify (* 0 0) into 0
1.762 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.762 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.762 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.762 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
1.762 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.763 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.763 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.763 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.763 * [backup-simplify]: Simplify (+ 0 0) into 0
1.764 * [backup-simplify]: Simplify (+ 0 0) into 0
1.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.764 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.764 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.764 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.764 * [taylor]: Taking taylor expansion of x in x
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [backup-simplify]: Simplify 1 into 1
1.764 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.764 * [taylor]: Taking taylor expansion of y in x
1.764 * [backup-simplify]: Simplify y into y
1.764 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.764 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.765 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.765 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.765 * [backup-simplify]: Simplify (+ 0 0) into 0
1.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.765 * [taylor]: Taking taylor expansion of y in y
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 1 into 1
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [taylor]: Taking taylor expansion of 0 in x
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [taylor]: Taking taylor expansion of 0 in y
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [taylor]: Taking taylor expansion of 0 in y
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify 1 into 1
1.766 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
1.767 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
1.767 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.767 * [backup-simplify]: Simplify (+ 0 0) into 0
1.768 * [backup-simplify]: Simplify (+ 1 0) into 1
1.769 * [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)))))
1.769 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
1.769 * [taylor]: Taking taylor expansion of 1/2 in x
1.769 * [backup-simplify]: Simplify 1/2 into 1/2
1.769 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
1.769 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
1.769 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.769 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.769 * [taylor]: Taking taylor expansion of x in x
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify 1 into 1
1.769 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.769 * [taylor]: Taking taylor expansion of y in x
1.769 * [backup-simplify]: Simplify y into y
1.769 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.769 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.769 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.769 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
1.769 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.770 * [backup-simplify]: Simplify (+ 0 0) into 0
1.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
1.770 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.770 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.770 * [taylor]: Taking taylor expansion of 1/2 in y
1.770 * [backup-simplify]: Simplify 1/2 into 1/2
1.770 * [taylor]: Taking taylor expansion of y in y
1.770 * [backup-simplify]: Simplify 0 into 0
1.770 * [backup-simplify]: Simplify 1 into 1
1.771 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.771 * [backup-simplify]: Simplify 0 into 0
1.771 * [taylor]: Taking taylor expansion of 0 in y
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify 0 into 0
1.772 * [backup-simplify]: Simplify (* 1 1) into 1
1.772 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.773 * [backup-simplify]: Simplify (+ 1 0) into 1
1.773 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.773 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.773 * [taylor]: Taking taylor expansion of 1/2 in y
1.773 * [backup-simplify]: Simplify 1/2 into 1/2
1.773 * [taylor]: Taking taylor expansion of y in y
1.773 * [backup-simplify]: Simplify 0 into 0
1.773 * [backup-simplify]: Simplify 1 into 1
1.774 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.774 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify 0 into 0
1.775 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
1.775 * [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)))))
1.775 * [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
1.775 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
1.775 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
1.775 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.776 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
1.776 * [taylor]: Taking taylor expansion of (/ 1 z) in y
1.776 * [taylor]: Taking taylor expansion of z in y
1.776 * [backup-simplify]: Simplify z into z
1.776 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.776 * [taylor]: Taking taylor expansion of (/ 1 z) in y
1.776 * [taylor]: Taking taylor expansion of z in y
1.776 * [backup-simplify]: Simplify z into z
1.776 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.776 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
1.776 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.776 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
1.776 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.776 * [taylor]: Taking taylor expansion of x in y
1.776 * [backup-simplify]: Simplify x into x
1.776 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.776 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.776 * [taylor]: Taking taylor expansion of x in y
1.776 * [backup-simplify]: Simplify x into x
1.776 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.776 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.776 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.776 * [taylor]: Taking taylor expansion of y in y
1.776 * [backup-simplify]: Simplify 0 into 0
1.776 * [backup-simplify]: Simplify 1 into 1
1.777 * [backup-simplify]: Simplify (* 1 1) into 1
1.777 * [backup-simplify]: Simplify (/ 1 1) into 1
1.777 * [backup-simplify]: Simplify (+ 0 1) into 1
1.778 * [backup-simplify]: Simplify (+ 0 1) into 1
1.778 * [backup-simplify]: Simplify (sqrt 1) into 1
1.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.779 * [backup-simplify]: Simplify (+ 0 0) into 0
1.780 * [backup-simplify]: Simplify (+ 0 0) into 0
1.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.780 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
1.780 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
1.780 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.781 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
1.781 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.781 * [taylor]: Taking taylor expansion of z in x
1.781 * [backup-simplify]: Simplify z into z
1.781 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.781 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.781 * [taylor]: Taking taylor expansion of z in x
1.781 * [backup-simplify]: Simplify z into z
1.781 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.781 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
1.781 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.781 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.781 * [taylor]: Taking taylor expansion of x in x
1.781 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify 1 into 1
1.781 * [backup-simplify]: Simplify (/ 1 1) into 1
1.781 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.781 * [taylor]: Taking taylor expansion of x in x
1.781 * [backup-simplify]: Simplify 0 into 0
1.781 * [backup-simplify]: Simplify 1 into 1
1.782 * [backup-simplify]: Simplify (/ 1 1) into 1
1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.782 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.782 * [taylor]: Taking taylor expansion of y in x
1.782 * [backup-simplify]: Simplify y into y
1.782 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.782 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.782 * [backup-simplify]: Simplify (* 1 1) into 1
1.783 * [backup-simplify]: Simplify (+ 1 0) into 1
1.783 * [backup-simplify]: Simplify (+ 0 1) into 1
1.783 * [backup-simplify]: Simplify (sqrt 1) into 1
1.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.785 * [backup-simplify]: Simplify (+ 0 0) into 0
1.786 * [backup-simplify]: Simplify (+ 0 0) into 0
1.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.786 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
1.786 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
1.787 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.787 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
1.787 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.787 * [taylor]: Taking taylor expansion of z in z
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify 1 into 1
1.787 * [backup-simplify]: Simplify (/ 1 1) into 1
1.787 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.787 * [taylor]: Taking taylor expansion of z in z
1.787 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify 1 into 1
1.787 * [backup-simplify]: Simplify (/ 1 1) into 1
1.787 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
1.788 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.788 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.788 * [taylor]: Taking taylor expansion of x in z
1.788 * [backup-simplify]: Simplify x into x
1.788 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.788 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.788 * [taylor]: Taking taylor expansion of x in z
1.788 * [backup-simplify]: Simplify x into x
1.788 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.788 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.788 * [taylor]: Taking taylor expansion of y in z
1.788 * [backup-simplify]: Simplify y into y
1.788 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.788 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.788 * [backup-simplify]: Simplify (* 1 1) into 1
1.789 * [backup-simplify]: Simplify (+ 1 0) into 1
1.789 * [backup-simplify]: Simplify (sqrt 1) into 1
1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.791 * [backup-simplify]: Simplify (+ 0 0) into 0
1.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.792 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
1.792 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
1.792 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.792 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
1.792 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.792 * [taylor]: Taking taylor expansion of z in z
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 1 into 1
1.792 * [backup-simplify]: Simplify (/ 1 1) into 1
1.792 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.792 * [taylor]: Taking taylor expansion of z in z
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 1 into 1
1.793 * [backup-simplify]: Simplify (/ 1 1) into 1
1.793 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
1.793 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
1.793 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.793 * [taylor]: Taking taylor expansion of x in z
1.793 * [backup-simplify]: Simplify x into x
1.793 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.793 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.793 * [taylor]: Taking taylor expansion of x in z
1.793 * [backup-simplify]: Simplify x into x
1.793 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.793 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.793 * [taylor]: Taking taylor expansion of y in z
1.793 * [backup-simplify]: Simplify y into y
1.793 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.794 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.794 * [backup-simplify]: Simplify (* 1 1) into 1
1.794 * [backup-simplify]: Simplify (+ 1 0) into 1
1.795 * [backup-simplify]: Simplify (sqrt 1) into 1
1.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.797 * [backup-simplify]: Simplify (+ 0 0) into 0
1.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.797 * [taylor]: Taking taylor expansion of 1 in x
1.797 * [backup-simplify]: Simplify 1 into 1
1.797 * [taylor]: Taking taylor expansion of 0 in x
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [taylor]: Taking taylor expansion of 1 in y
1.798 * [backup-simplify]: Simplify 1 into 1
1.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.800 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
1.800 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.801 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.802 * [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))))
1.802 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.802 * [taylor]: Taking taylor expansion of 1/2 in x
1.802 * [backup-simplify]: Simplify 1/2 into 1/2
1.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.802 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.802 * [taylor]: Taking taylor expansion of x in x
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 1 into 1
1.803 * [backup-simplify]: Simplify (* 1 1) into 1
1.803 * [backup-simplify]: Simplify (/ 1 1) into 1
1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.803 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.803 * [taylor]: Taking taylor expansion of y in x
1.803 * [backup-simplify]: Simplify y into y
1.803 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.803 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.805 * [backup-simplify]: Simplify (+ 0 0) into 0
1.805 * [backup-simplify]: Simplify (+ 1 0) into 1
1.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.806 * [taylor]: Taking taylor expansion of 0 in y
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [taylor]: Taking taylor expansion of 0 in y
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [taylor]: Taking taylor expansion of 0 in y
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 1 into 1
1.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.808 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
1.808 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.809 * [backup-simplify]: Simplify (+ 0 0) into 0
1.809 * [backup-simplify]: Simplify (+ 0 0) into 0
1.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.810 * [taylor]: Taking taylor expansion of 0 in x
1.810 * [backup-simplify]: Simplify 0 into 0
1.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.812 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.812 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
1.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
1.813 * [taylor]: Taking taylor expansion of 1/2 in y
1.813 * [backup-simplify]: Simplify 1/2 into 1/2
1.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.813 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.813 * [taylor]: Taking taylor expansion of y in y
1.813 * [backup-simplify]: Simplify 0 into 0
1.813 * [backup-simplify]: Simplify 1 into 1
1.813 * [backup-simplify]: Simplify (* 1 1) into 1
1.813 * [backup-simplify]: Simplify (/ 1 1) into 1
1.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in y
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [taylor]: Taking taylor expansion of 0 in y
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.819 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
1.819 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.820 * [backup-simplify]: Simplify (+ 0 0) into 0
1.825 * [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))))))
1.825 * [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
1.825 * [taylor]: Taking taylor expansion of -1/2 in x
1.825 * [backup-simplify]: Simplify -1/2 into -1/2
1.825 * [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
1.825 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
1.825 * [taylor]: Taking taylor expansion of 1/2 in x
1.825 * [backup-simplify]: Simplify 1/2 into 1/2
1.825 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
1.825 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
1.825 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.825 * [taylor]: Taking taylor expansion of x in x
1.825 * [backup-simplify]: Simplify 0 into 0
1.825 * [backup-simplify]: Simplify 1 into 1
1.825 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.825 * [taylor]: Taking taylor expansion of y in x
1.825 * [backup-simplify]: Simplify y into y
1.825 * [backup-simplify]: Simplify (* 1 1) into 1
1.826 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.826 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
1.826 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.826 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
1.826 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
1.826 * [taylor]: Taking taylor expansion of 1/4 in x
1.826 * [backup-simplify]: Simplify 1/4 into 1/4
1.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.826 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.826 * [taylor]: Taking taylor expansion of x in x
1.826 * [backup-simplify]: Simplify 0 into 0
1.826 * [backup-simplify]: Simplify 1 into 1
1.826 * [backup-simplify]: Simplify (* 1 1) into 1
1.827 * [backup-simplify]: Simplify (* 1 1) into 1
1.827 * [backup-simplify]: Simplify (/ 1 1) into 1
1.827 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
1.827 * [taylor]: Taking taylor expansion of 1/4 in x
1.827 * [backup-simplify]: Simplify 1/4 into 1/4
1.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
1.827 * [taylor]: Taking taylor expansion of (pow y 4) in x
1.827 * [taylor]: Taking taylor expansion of y in x
1.827 * [backup-simplify]: Simplify y into y
1.827 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.827 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
1.828 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
1.828 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
1.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.836 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.837 * [backup-simplify]: Simplify (+ 0 0) into 0
1.837 * [backup-simplify]: Simplify (+ 0 0) into 0
1.837 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
1.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.838 * [backup-simplify]: Simplify (+ 0 0) into 0
1.839 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
1.839 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.839 * [backup-simplify]: Simplify (+ 0 0) into 0
1.840 * [backup-simplify]: Simplify (+ 0 0) into 0
1.840 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.840 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.841 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.842 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.842 * [taylor]: Taking taylor expansion of 0 in y
1.842 * [backup-simplify]: Simplify 0 into 0
1.842 * [taylor]: Taking taylor expansion of 0 in y
1.842 * [backup-simplify]: Simplify 0 into 0
1.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.844 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.844 * [backup-simplify]: Simplify (+ 0 0) into 0
1.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
1.845 * [taylor]: Taking taylor expansion of 0 in y
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [taylor]: Taking taylor expansion of 0 in y
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [taylor]: Taking taylor expansion of 0 in y
1.845 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.848 * [backup-simplify]: Simplify 0 into 0
1.848 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
1.848 * [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)))))
1.848 * [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
1.848 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
1.848 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
1.848 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
1.848 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
1.848 * [taylor]: Taking taylor expansion of (/ -1 z) in y
1.848 * [taylor]: Taking taylor expansion of -1 in y
1.848 * [backup-simplify]: Simplify -1 into -1
1.848 * [taylor]: Taking taylor expansion of z in y
1.849 * [backup-simplify]: Simplify z into z
1.849 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.849 * [taylor]: Taking taylor expansion of (/ -1 z) in y
1.849 * [taylor]: Taking taylor expansion of -1 in y
1.849 * [backup-simplify]: Simplify -1 into -1
1.849 * [taylor]: Taking taylor expansion of z in y
1.849 * [backup-simplify]: Simplify z into z
1.849 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.849 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
1.849 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
1.849 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
1.849 * [taylor]: Taking taylor expansion of (/ -1 x) in y
1.849 * [taylor]: Taking taylor expansion of -1 in y
1.849 * [backup-simplify]: Simplify -1 into -1
1.849 * [taylor]: Taking taylor expansion of x in y
1.849 * [backup-simplify]: Simplify x into x
1.849 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.849 * [taylor]: Taking taylor expansion of (/ -1 x) in y
1.849 * [taylor]: Taking taylor expansion of -1 in y
1.849 * [backup-simplify]: Simplify -1 into -1
1.849 * [taylor]: Taking taylor expansion of x in y
1.849 * [backup-simplify]: Simplify x into x
1.849 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.849 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.849 * [taylor]: Taking taylor expansion of y in y
1.849 * [backup-simplify]: Simplify 0 into 0
1.849 * [backup-simplify]: Simplify 1 into 1
1.850 * [backup-simplify]: Simplify (* 1 1) into 1
1.850 * [backup-simplify]: Simplify (/ 1 1) into 1
1.850 * [backup-simplify]: Simplify (+ 0 1) into 1
1.851 * [backup-simplify]: Simplify (+ 0 1) into 1
1.851 * [backup-simplify]: Simplify (sqrt 1) into 1
1.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.853 * [backup-simplify]: Simplify (+ 0 0) into 0
1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.853 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
1.853 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
1.854 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
1.854 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
1.854 * [taylor]: Taking taylor expansion of (/ -1 z) in x
1.854 * [taylor]: Taking taylor expansion of -1 in x
1.854 * [backup-simplify]: Simplify -1 into -1
1.854 * [taylor]: Taking taylor expansion of z in x
1.854 * [backup-simplify]: Simplify z into z
1.854 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.854 * [taylor]: Taking taylor expansion of (/ -1 z) in x
1.854 * [taylor]: Taking taylor expansion of -1 in x
1.854 * [backup-simplify]: Simplify -1 into -1
1.854 * [taylor]: Taking taylor expansion of z in x
1.854 * [backup-simplify]: Simplify z into z
1.854 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
1.854 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
1.854 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
1.854 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
1.854 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.854 * [taylor]: Taking taylor expansion of -1 in x
1.854 * [backup-simplify]: Simplify -1 into -1
1.854 * [taylor]: Taking taylor expansion of x in x
1.854 * [backup-simplify]: Simplify 0 into 0
1.854 * [backup-simplify]: Simplify 1 into 1
1.855 * [backup-simplify]: Simplify (/ -1 1) into -1
1.855 * [taylor]: Taking taylor expansion of (/ -1 x) in x
1.855 * [taylor]: Taking taylor expansion of -1 in x
1.855 * [backup-simplify]: Simplify -1 into -1
1.855 * [taylor]: Taking taylor expansion of x in x
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 1 into 1
1.855 * [backup-simplify]: Simplify (/ -1 1) into -1
1.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.855 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.855 * [taylor]: Taking taylor expansion of y in x
1.855 * [backup-simplify]: Simplify y into y
1.855 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.855 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.856 * [backup-simplify]: Simplify (* -1 -1) into 1
1.856 * [backup-simplify]: Simplify (+ 1 0) into 1
1.856 * [backup-simplify]: Simplify (+ 0 1) into 1
1.856 * [backup-simplify]: Simplify (sqrt 1) into 1
1.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.857 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.858 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.859 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
1.859 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
1.859 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
1.859 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
1.859 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.859 * [taylor]: Taking taylor expansion of -1 in z
1.859 * [backup-simplify]: Simplify -1 into -1
1.859 * [taylor]: Taking taylor expansion of z in z
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 1 into 1
1.859 * [backup-simplify]: Simplify (/ -1 1) into -1
1.859 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.860 * [taylor]: Taking taylor expansion of -1 in z
1.860 * [backup-simplify]: Simplify -1 into -1
1.860 * [taylor]: Taking taylor expansion of z in z
1.860 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify 1 into 1
1.860 * [backup-simplify]: Simplify (/ -1 1) into -1
1.860 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
1.860 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
1.860 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
1.860 * [taylor]: Taking taylor expansion of (/ -1 x) in z
1.860 * [taylor]: Taking taylor expansion of -1 in z
1.860 * [backup-simplify]: Simplify -1 into -1
1.860 * [taylor]: Taking taylor expansion of x in z
1.860 * [backup-simplify]: Simplify x into x
1.860 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.860 * [taylor]: Taking taylor expansion of (/ -1 x) in z
1.860 * [taylor]: Taking taylor expansion of -1 in z
1.860 * [backup-simplify]: Simplify -1 into -1
1.860 * [taylor]: Taking taylor expansion of x in z
1.860 * [backup-simplify]: Simplify x into x
1.860 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.861 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.861 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.861 * [taylor]: Taking taylor expansion of y in z
1.861 * [backup-simplify]: Simplify y into y
1.861 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.861 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.861 * [backup-simplify]: Simplify (* -1 -1) into 1
1.861 * [backup-simplify]: Simplify (+ 1 0) into 1
1.862 * [backup-simplify]: Simplify (sqrt 1) into 1
1.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.864 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.864 * [backup-simplify]: Simplify (+ 0 0) into 0
1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.865 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
1.865 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
1.865 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
1.865 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
1.865 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.865 * [taylor]: Taking taylor expansion of -1 in z
1.865 * [backup-simplify]: Simplify -1 into -1
1.865 * [taylor]: Taking taylor expansion of z in z
1.865 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify 1 into 1
1.865 * [backup-simplify]: Simplify (/ -1 1) into -1
1.865 * [taylor]: Taking taylor expansion of (/ -1 z) in z
1.865 * [taylor]: Taking taylor expansion of -1 in z
1.866 * [backup-simplify]: Simplify -1 into -1
1.866 * [taylor]: Taking taylor expansion of z in z
1.866 * [backup-simplify]: Simplify 0 into 0
1.866 * [backup-simplify]: Simplify 1 into 1
1.866 * [backup-simplify]: Simplify (/ -1 1) into -1
1.866 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
1.866 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
1.866 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
1.866 * [taylor]: Taking taylor expansion of (/ -1 x) in z
1.866 * [taylor]: Taking taylor expansion of -1 in z
1.866 * [backup-simplify]: Simplify -1 into -1
1.866 * [taylor]: Taking taylor expansion of x in z
1.867 * [backup-simplify]: Simplify x into x
1.867 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.867 * [taylor]: Taking taylor expansion of (/ -1 x) in z
1.867 * [taylor]: Taking taylor expansion of -1 in z
1.867 * [backup-simplify]: Simplify -1 into -1
1.867 * [taylor]: Taking taylor expansion of x in z
1.867 * [backup-simplify]: Simplify x into x
1.867 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
1.867 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.867 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.867 * [taylor]: Taking taylor expansion of y in z
1.867 * [backup-simplify]: Simplify y into y
1.867 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.867 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.867 * [backup-simplify]: Simplify (* -1 -1) into 1
1.868 * [backup-simplify]: Simplify (+ 1 0) into 1
1.868 * [backup-simplify]: Simplify (sqrt 1) into 1
1.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.869 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
1.870 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
1.870 * [backup-simplify]: Simplify (+ 0 0) into 0
1.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.871 * [taylor]: Taking taylor expansion of 1 in x
1.871 * [backup-simplify]: Simplify 1 into 1
1.871 * [taylor]: Taking taylor expansion of 0 in x
1.871 * [backup-simplify]: Simplify 0 into 0
1.871 * [taylor]: Taking taylor expansion of 1 in y
1.871 * [backup-simplify]: Simplify 1 into 1
1.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.873 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
1.873 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
1.874 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.874 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.875 * [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))))
1.875 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.875 * [taylor]: Taking taylor expansion of 1/2 in x
1.875 * [backup-simplify]: Simplify 1/2 into 1/2
1.875 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.875 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.875 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.875 * [taylor]: Taking taylor expansion of x in x
1.876 * [backup-simplify]: Simplify 0 into 0
1.876 * [backup-simplify]: Simplify 1 into 1
1.876 * [backup-simplify]: Simplify (* 1 1) into 1
1.876 * [backup-simplify]: Simplify (/ 1 1) into 1
1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.876 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.876 * [taylor]: Taking taylor expansion of y in x
1.876 * [backup-simplify]: Simplify y into y
1.876 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.876 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.878 * [backup-simplify]: Simplify (+ 0 0) into 0
1.878 * [backup-simplify]: Simplify (+ 1 0) into 1
1.879 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.879 * [taylor]: Taking taylor expansion of 0 in y
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [taylor]: Taking taylor expansion of 0 in y
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [taylor]: Taking taylor expansion of 0 in y
1.879 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify 1 into 1
1.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.881 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
1.881 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
1.882 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
1.882 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
1.882 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.882 * [backup-simplify]: Simplify (+ 0 0) into 0
1.883 * [backup-simplify]: Simplify (+ 0 0) into 0
1.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.883 * [taylor]: Taking taylor expansion of 0 in x
1.883 * [backup-simplify]: Simplify 0 into 0
1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.885 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.886 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
1.886 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
1.886 * [taylor]: Taking taylor expansion of 1/2 in y
1.886 * [backup-simplify]: Simplify 1/2 into 1/2
1.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.886 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.886 * [taylor]: Taking taylor expansion of y in y
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 1 into 1
1.886 * [backup-simplify]: Simplify (* 1 1) into 1
1.886 * [backup-simplify]: Simplify (/ 1 1) into 1
1.887 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.888 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [taylor]: Taking taylor expansion of 0 in y
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [taylor]: Taking taylor expansion of 0 in y
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 0 into 0
1.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.891 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
1.891 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.891 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.892 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
1.892 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.895 * [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))))))
1.895 * [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
1.895 * [taylor]: Taking taylor expansion of -1/2 in x
1.895 * [backup-simplify]: Simplify -1/2 into -1/2
1.895 * [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
1.895 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
1.895 * [taylor]: Taking taylor expansion of 1/2 in x
1.895 * [backup-simplify]: Simplify 1/2 into 1/2
1.895 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
1.895 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
1.895 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.895 * [taylor]: Taking taylor expansion of x in x
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify 1 into 1
1.895 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.895 * [taylor]: Taking taylor expansion of y in x
1.895 * [backup-simplify]: Simplify y into y
1.895 * [backup-simplify]: Simplify (* 1 1) into 1
1.895 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.896 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
1.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.896 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
1.896 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
1.896 * [taylor]: Taking taylor expansion of 1/4 in x
1.896 * [backup-simplify]: Simplify 1/4 into 1/4
1.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.896 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.896 * [taylor]: Taking taylor expansion of x in x
1.896 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify 1 into 1
1.896 * [backup-simplify]: Simplify (* 1 1) into 1
1.896 * [backup-simplify]: Simplify (* 1 1) into 1
1.897 * [backup-simplify]: Simplify (/ 1 1) into 1
1.897 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
1.897 * [taylor]: Taking taylor expansion of 1/4 in x
1.897 * [backup-simplify]: Simplify 1/4 into 1/4
1.897 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
1.897 * [taylor]: Taking taylor expansion of (pow y 4) in x
1.897 * [taylor]: Taking taylor expansion of y in x
1.897 * [backup-simplify]: Simplify y into y
1.897 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.897 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
1.897 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
1.897 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
1.899 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.906 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.906 * [backup-simplify]: Simplify (+ 0 0) into 0
1.907 * [backup-simplify]: Simplify (+ 0 0) into 0
1.907 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
1.907 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
1.908 * [backup-simplify]: Simplify (+ 0 0) into 0
1.908 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
1.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [backup-simplify]: Simplify (+ 0 0) into 0
1.909 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
1.910 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
1.910 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
1.911 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
1.911 * [taylor]: Taking taylor expansion of 0 in y
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [taylor]: Taking taylor expansion of 0 in y
1.911 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.913 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.913 * [backup-simplify]: Simplify (+ 0 0) into 0
1.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
1.914 * [taylor]: Taking taylor expansion of 0 in y
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [taylor]: Taking taylor expansion of 0 in y
1.915 * [backup-simplify]: Simplify 0 into 0
1.915 * [taylor]: Taking taylor expansion of 0 in y
1.915 * [backup-simplify]: Simplify 0 into 0
1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
1.917 * * * * [progress]: [ 3 / 3 ] generating series at (2)
1.918 * [backup-simplify]: Simplify (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))) into (sqrt (fma z z (fma x x (pow y 2))))
1.918 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
1.918 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
1.918 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
1.918 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.918 * [taylor]: Taking taylor expansion of (* z z) in y
1.918 * [taylor]: Taking taylor expansion of z in y
1.918 * [backup-simplify]: Simplify z into z
1.918 * [taylor]: Taking taylor expansion of z in y
1.918 * [backup-simplify]: Simplify z into z
1.918 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
1.918 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.918 * [taylor]: Taking taylor expansion of (* x x) in y
1.918 * [taylor]: Taking taylor expansion of x in y
1.918 * [backup-simplify]: Simplify x into x
1.918 * [taylor]: Taking taylor expansion of x in y
1.918 * [backup-simplify]: Simplify x into x
1.918 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.918 * [taylor]: Taking taylor expansion of y in y
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify 1 into 1
1.918 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.919 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.919 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.919 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
1.919 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.919 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.919 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.920 * [backup-simplify]: Simplify (+ 0 0) into 0
1.920 * [backup-simplify]: Simplify (+ 0 0) into 0
1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
1.920 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
1.920 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
1.920 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.920 * [taylor]: Taking taylor expansion of (* z z) in x
1.920 * [taylor]: Taking taylor expansion of z in x
1.920 * [backup-simplify]: Simplify z into z
1.920 * [taylor]: Taking taylor expansion of z in x
1.920 * [backup-simplify]: Simplify z into z
1.920 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
1.921 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.921 * [taylor]: Taking taylor expansion of (* x x) in x
1.921 * [taylor]: Taking taylor expansion of x in x
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 1 into 1
1.921 * [taylor]: Taking taylor expansion of x in x
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 1 into 1
1.921 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.921 * [taylor]: Taking taylor expansion of y in x
1.921 * [backup-simplify]: Simplify y into y
1.921 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.921 * [backup-simplify]: Simplify (* 0 0) into 0
1.921 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.921 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.921 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
1.922 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.922 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.922 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.922 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.923 * [backup-simplify]: Simplify (+ 0 0) into 0
1.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.923 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
1.923 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
1.923 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.923 * [taylor]: Taking taylor expansion of (* z z) in z
1.924 * [taylor]: Taking taylor expansion of z in z
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [taylor]: Taking taylor expansion of z in z
1.924 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify 1 into 1
1.924 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
1.924 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.924 * [taylor]: Taking taylor expansion of (* x x) in z
1.924 * [taylor]: Taking taylor expansion of x in z
1.924 * [backup-simplify]: Simplify x into x
1.924 * [taylor]: Taking taylor expansion of x in z
1.924 * [backup-simplify]: Simplify x into x
1.924 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.924 * [taylor]: Taking taylor expansion of y in z
1.924 * [backup-simplify]: Simplify y into y
1.924 * [backup-simplify]: Simplify (* 0 0) into 0
1.924 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.924 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.925 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.925 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
1.925 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.926 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.926 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.926 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.926 * [backup-simplify]: Simplify (+ 0 0) into 0
1.926 * [backup-simplify]: Simplify (+ 0 0) into 0
1.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.927 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
1.927 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
1.927 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
1.927 * [taylor]: Taking taylor expansion of (* z z) in z
1.927 * [taylor]: Taking taylor expansion of z in z
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [taylor]: Taking taylor expansion of z in z
1.927 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify 1 into 1
1.927 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
1.927 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
1.927 * [taylor]: Taking taylor expansion of (* x x) in z
1.927 * [taylor]: Taking taylor expansion of x in z
1.927 * [backup-simplify]: Simplify x into x
1.927 * [taylor]: Taking taylor expansion of x in z
1.927 * [backup-simplify]: Simplify x into x
1.927 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.927 * [taylor]: Taking taylor expansion of y in z
1.927 * [backup-simplify]: Simplify y into y
1.928 * [backup-simplify]: Simplify (* 0 0) into 0
1.928 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.928 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
1.928 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
1.928 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
1.929 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
1.929 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.929 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.929 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
1.930 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
1.930 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.930 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.930 * [taylor]: Taking taylor expansion of x in x
1.930 * [backup-simplify]: Simplify 0 into 0
1.930 * [backup-simplify]: Simplify 1 into 1
1.930 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.930 * [taylor]: Taking taylor expansion of y in x
1.930 * [backup-simplify]: Simplify y into y
1.930 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.930 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.931 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
1.931 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
1.931 * [taylor]: Taking taylor expansion of y in y
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 1 into 1
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [taylor]: Taking taylor expansion of 0 in x
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [taylor]: Taking taylor expansion of 0 in y
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [taylor]: Taking taylor expansion of 0 in y
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify 1 into 1
1.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
1.933 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
1.933 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.933 * [backup-simplify]: Simplify (+ 0 0) into 0
1.934 * [backup-simplify]: Simplify (+ 1 0) into 1
1.935 * [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)))))
1.935 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
1.935 * [taylor]: Taking taylor expansion of 1/2 in x
1.935 * [backup-simplify]: Simplify 1/2 into 1/2
1.935 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
1.935 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
1.935 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
1.935 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.935 * [taylor]: Taking taylor expansion of x in x
1.935 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify 1 into 1
1.935 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.935 * [taylor]: Taking taylor expansion of y in x
1.935 * [backup-simplify]: Simplify y into y
1.935 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.935 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
1.935 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.935 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
1.935 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.936 * [backup-simplify]: Simplify (+ 0 0) into 0
1.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
1.936 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
1.936 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.936 * [taylor]: Taking taylor expansion of 1/2 in y
1.936 * [backup-simplify]: Simplify 1/2 into 1/2
1.936 * [taylor]: Taking taylor expansion of y in y
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 1 into 1
1.937 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [taylor]: Taking taylor expansion of 0 in y
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify 0 into 0
1.938 * [backup-simplify]: Simplify (* 1 1) into 1
1.938 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.939 * [backup-simplify]: Simplify (+ 1 0) into 1
1.939 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
1.939 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
1.939 * [taylor]: Taking taylor expansion of 1/2 in y
1.940 * [backup-simplify]: Simplify 1/2 into 1/2
1.940 * [taylor]: Taking taylor expansion of y in y
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 1 into 1
1.940 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
1.942 * [backup-simplify]: Simplify (* (sqrt (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))))) (sqrt (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)))))
1.942 * [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
1.942 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
1.942 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
1.942 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.942 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
1.942 * [taylor]: Taking taylor expansion of (/ 1 z) in y
1.942 * [taylor]: Taking taylor expansion of z in y
1.942 * [backup-simplify]: Simplify z into z
1.942 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.942 * [taylor]: Taking taylor expansion of (/ 1 z) in y
1.942 * [taylor]: Taking taylor expansion of z in y
1.942 * [backup-simplify]: Simplify z into z
1.942 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.942 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
1.943 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.943 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
1.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.943 * [taylor]: Taking taylor expansion of x in y
1.943 * [backup-simplify]: Simplify x into x
1.943 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.943 * [taylor]: Taking taylor expansion of (/ 1 x) in y
1.943 * [taylor]: Taking taylor expansion of x in y
1.943 * [backup-simplify]: Simplify x into x
1.943 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.943 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.943 * [taylor]: Taking taylor expansion of y in y
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 1 into 1
1.943 * [backup-simplify]: Simplify (* 1 1) into 1
1.944 * [backup-simplify]: Simplify (/ 1 1) into 1
1.944 * [backup-simplify]: Simplify (+ 0 1) into 1
1.945 * [backup-simplify]: Simplify (+ 0 1) into 1
1.945 * [backup-simplify]: Simplify (sqrt 1) into 1
1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (+ 0 0) into 0
1.947 * [backup-simplify]: Simplify (+ 0 0) into 0
1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.950 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
1.950 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
1.951 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.951 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
1.951 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.951 * [taylor]: Taking taylor expansion of z in x
1.951 * [backup-simplify]: Simplify z into z
1.951 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.951 * [taylor]: Taking taylor expansion of (/ 1 z) in x
1.951 * [taylor]: Taking taylor expansion of z in x
1.951 * [backup-simplify]: Simplify z into z
1.951 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
1.951 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
1.951 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.951 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
1.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.951 * [taylor]: Taking taylor expansion of x in x
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 1 into 1
1.952 * [backup-simplify]: Simplify (/ 1 1) into 1
1.952 * [taylor]: Taking taylor expansion of (/ 1 x) in x
1.952 * [taylor]: Taking taylor expansion of x in x
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 1 into 1
1.952 * [backup-simplify]: Simplify (/ 1 1) into 1
1.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.952 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.952 * [taylor]: Taking taylor expansion of y in x
1.952 * [backup-simplify]: Simplify y into y
1.952 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.953 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.953 * [backup-simplify]: Simplify (* 1 1) into 1
1.953 * [backup-simplify]: Simplify (+ 1 0) into 1
1.954 * [backup-simplify]: Simplify (+ 0 1) into 1
1.954 * [backup-simplify]: Simplify (sqrt 1) into 1
1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.956 * [backup-simplify]: Simplify (+ 0 0) into 0
1.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.957 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
1.957 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
1.957 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.957 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
1.957 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.957 * [taylor]: Taking taylor expansion of z in z
1.957 * [backup-simplify]: Simplify 0 into 0
1.957 * [backup-simplify]: Simplify 1 into 1
1.958 * [backup-simplify]: Simplify (/ 1 1) into 1
1.958 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.958 * [taylor]: Taking taylor expansion of z in z
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 1 into 1
1.958 * [backup-simplify]: Simplify (/ 1 1) into 1
1.958 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
1.958 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.958 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
1.958 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.958 * [taylor]: Taking taylor expansion of x in z
1.958 * [backup-simplify]: Simplify x into x
1.958 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.958 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.958 * [taylor]: Taking taylor expansion of x in z
1.959 * [backup-simplify]: Simplify x into x
1.959 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.959 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.959 * [taylor]: Taking taylor expansion of y in z
1.959 * [backup-simplify]: Simplify y into y
1.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.959 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.959 * [backup-simplify]: Simplify (* 1 1) into 1
1.960 * [backup-simplify]: Simplify (+ 1 0) into 1
1.960 * [backup-simplify]: Simplify (sqrt 1) into 1
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.962 * [backup-simplify]: Simplify (+ 0 0) into 0
1.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.963 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
1.963 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
1.963 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
1.963 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
1.963 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.963 * [taylor]: Taking taylor expansion of z in z
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 1 into 1
1.963 * [backup-simplify]: Simplify (/ 1 1) into 1
1.963 * [taylor]: Taking taylor expansion of (/ 1 z) in z
1.963 * [taylor]: Taking taylor expansion of z in z
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify (/ 1 1) into 1
1.964 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
1.964 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
1.964 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
1.964 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.964 * [taylor]: Taking taylor expansion of x in z
1.964 * [backup-simplify]: Simplify x into x
1.964 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.964 * [taylor]: Taking taylor expansion of (/ 1 x) in z
1.964 * [taylor]: Taking taylor expansion of x in z
1.964 * [backup-simplify]: Simplify x into x
1.964 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.964 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.964 * [taylor]: Taking taylor expansion of y in z
1.964 * [backup-simplify]: Simplify y into y
1.964 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.965 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.965 * [backup-simplify]: Simplify (* 1 1) into 1
1.965 * [backup-simplify]: Simplify (+ 1 0) into 1
1.966 * [backup-simplify]: Simplify (sqrt 1) into 1
1.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.968 * [backup-simplify]: Simplify (+ 0 0) into 0
1.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.969 * [taylor]: Taking taylor expansion of 1 in x
1.969 * [backup-simplify]: Simplify 1 into 1
1.969 * [taylor]: Taking taylor expansion of 0 in x
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [taylor]: Taking taylor expansion of 1 in y
1.969 * [backup-simplify]: Simplify 1 into 1
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.971 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
1.971 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.972 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
1.973 * [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))))
1.973 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
1.973 * [taylor]: Taking taylor expansion of 1/2 in x
1.973 * [backup-simplify]: Simplify 1/2 into 1/2
1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.973 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.973 * [taylor]: Taking taylor expansion of x in x
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 1 into 1
1.974 * [backup-simplify]: Simplify (* 1 1) into 1
1.974 * [backup-simplify]: Simplify (/ 1 1) into 1
1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.974 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.974 * [taylor]: Taking taylor expansion of y in x
1.974 * [backup-simplify]: Simplify y into y
1.974 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.974 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.976 * [backup-simplify]: Simplify (+ 1 0) into 1
1.977 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.977 * [taylor]: Taking taylor expansion of 0 in y
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [taylor]: Taking taylor expansion of 0 in y
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [taylor]: Taking taylor expansion of 0 in y
1.977 * [backup-simplify]: Simplify 0 into 0
1.977 * [backup-simplify]: Simplify 1 into 1
1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
1.980 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
1.980 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.980 * [backup-simplify]: Simplify (+ 0 0) into 0
1.981 * [backup-simplify]: Simplify (+ 0 0) into 0
1.981 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
1.982 * [taylor]: Taking taylor expansion of 0 in x
1.982 * [backup-simplify]: Simplify 0 into 0
1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.983 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
1.984 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
1.984 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
1.984 * [taylor]: Taking taylor expansion of 1/2 in y
1.984 * [backup-simplify]: Simplify 1/2 into 1/2
1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.984 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.984 * [taylor]: Taking taylor expansion of y in y
1.984 * [backup-simplify]: Simplify 0 into 0
1.984 * [backup-simplify]: Simplify 1 into 1
1.984 * [backup-simplify]: Simplify (* 1 1) into 1
1.985 * [backup-simplify]: Simplify (/ 1 1) into 1
1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.986 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [taylor]: Taking taylor expansion of 0 in y
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [taylor]: Taking taylor expansion of 0 in y
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.987 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
1.990 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
1.990 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [backup-simplify]: Simplify (+ 0 0) into 0
1.993 * [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))))))
1.993 * [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
1.993 * [taylor]: Taking taylor expansion of -1/2 in x
1.993 * [backup-simplify]: Simplify -1/2 into -1/2
1.993 * [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
1.993 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
1.993 * [taylor]: Taking taylor expansion of 1/2 in x
1.993 * [backup-simplify]: Simplify 1/2 into 1/2
1.993 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
1.993 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
1.993 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.993 * [taylor]: Taking taylor expansion of x in x
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify 1 into 1
1.993 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.993 * [taylor]: Taking taylor expansion of y in x
1.994 * [backup-simplify]: Simplify y into y
1.994 * [backup-simplify]: Simplify (* 1 1) into 1
1.994 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.994 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
1.994 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.994 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
1.994 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
1.994 * [taylor]: Taking taylor expansion of 1/4 in x
1.994 * [backup-simplify]: Simplify 1/4 into 1/4
1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
1.994 * [taylor]: Taking taylor expansion of (pow x 4) in x
1.994 * [taylor]: Taking taylor expansion of x in x
1.994 * [backup-simplify]: Simplify 0 into 0
1.994 * [backup-simplify]: Simplify 1 into 1
1.995 * [backup-simplify]: Simplify (* 1 1) into 1
1.995 * [backup-simplify]: Simplify (* 1 1) into 1
1.995 * [backup-simplify]: Simplify (/ 1 1) into 1
1.995 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
1.995 * [taylor]: Taking taylor expansion of 1/4 in x
1.995 * [backup-simplify]: Simplify 1/4 into 1/4
1.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
1.996 * [taylor]: Taking taylor expansion of (pow y 4) in x
1.996 * [taylor]: Taking taylor expansion of y in x
1.996 * [backup-simplify]: Simplify y into y
1.996 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.996 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
1.996 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
1.996 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.998 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.004 * [backup-simplify]: Simplify (+ 0 0) into 0
2.005 * [backup-simplify]: Simplify (+ 0 0) into 0
2.005 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.006 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.006 * [backup-simplify]: Simplify (+ 0 0) into 0
2.006 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.007 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.007 * [backup-simplify]: Simplify (+ 0 0) into 0
2.007 * [backup-simplify]: Simplify (+ 0 0) into 0
2.008 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.008 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.009 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.010 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.010 * [taylor]: Taking taylor expansion of 0 in y
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [taylor]: Taking taylor expansion of 0 in y
2.010 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.011 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.012 * [backup-simplify]: Simplify (+ 0 0) into 0
2.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.013 * [taylor]: Taking taylor expansion of 0 in y
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [taylor]: Taking taylor expansion of 0 in y
2.013 * [backup-simplify]: Simplify 0 into 0
2.013 * [taylor]: Taking taylor expansion of 0 in y
2.013 * [backup-simplify]: Simplify 0 into 0
2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.015 * [backup-simplify]: Simplify 0 into 0
2.016 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
2.016 * [backup-simplify]: Simplify (* (sqrt (sqrt (fma (/ 1 (- z)) (/ 1 (- z)) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))))) (sqrt (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)))))
2.017 * [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
2.017 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
2.017 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
2.017 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.017 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
2.017 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.017 * [taylor]: Taking taylor expansion of -1 in y
2.017 * [backup-simplify]: Simplify -1 into -1
2.017 * [taylor]: Taking taylor expansion of z in y
2.017 * [backup-simplify]: Simplify z into z
2.017 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.017 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.017 * [taylor]: Taking taylor expansion of -1 in y
2.017 * [backup-simplify]: Simplify -1 into -1
2.017 * [taylor]: Taking taylor expansion of z in y
2.017 * [backup-simplify]: Simplify z into z
2.017 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.018 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.018 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.018 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.018 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.018 * [taylor]: Taking taylor expansion of -1 in y
2.018 * [backup-simplify]: Simplify -1 into -1
2.018 * [taylor]: Taking taylor expansion of x in y
2.018 * [backup-simplify]: Simplify x into x
2.018 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.018 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.018 * [taylor]: Taking taylor expansion of -1 in y
2.018 * [backup-simplify]: Simplify -1 into -1
2.018 * [taylor]: Taking taylor expansion of x in y
2.018 * [backup-simplify]: Simplify x into x
2.018 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.018 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.018 * [taylor]: Taking taylor expansion of y in y
2.018 * [backup-simplify]: Simplify 0 into 0
2.018 * [backup-simplify]: Simplify 1 into 1
2.019 * [backup-simplify]: Simplify (* 1 1) into 1
2.019 * [backup-simplify]: Simplify (/ 1 1) into 1
2.019 * [backup-simplify]: Simplify (+ 0 1) into 1
2.020 * [backup-simplify]: Simplify (+ 0 1) into 1
2.020 * [backup-simplify]: Simplify (sqrt 1) into 1
2.020 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.021 * [backup-simplify]: Simplify (+ 0 0) into 0
2.022 * [backup-simplify]: Simplify (+ 0 0) into 0
2.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.022 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
2.022 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
2.023 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.023 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
2.023 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.023 * [taylor]: Taking taylor expansion of -1 in x
2.023 * [backup-simplify]: Simplify -1 into -1
2.023 * [taylor]: Taking taylor expansion of z in x
2.023 * [backup-simplify]: Simplify z into z
2.023 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.023 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.023 * [taylor]: Taking taylor expansion of -1 in x
2.023 * [backup-simplify]: Simplify -1 into -1
2.023 * [taylor]: Taking taylor expansion of z in x
2.023 * [backup-simplify]: Simplify z into z
2.023 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.023 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.023 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.023 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.023 * [taylor]: Taking taylor expansion of -1 in x
2.023 * [backup-simplify]: Simplify -1 into -1
2.023 * [taylor]: Taking taylor expansion of x in x
2.023 * [backup-simplify]: Simplify 0 into 0
2.023 * [backup-simplify]: Simplify 1 into 1
2.024 * [backup-simplify]: Simplify (/ -1 1) into -1
2.024 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.024 * [taylor]: Taking taylor expansion of -1 in x
2.024 * [backup-simplify]: Simplify -1 into -1
2.024 * [taylor]: Taking taylor expansion of x in x
2.024 * [backup-simplify]: Simplify 0 into 0
2.024 * [backup-simplify]: Simplify 1 into 1
2.024 * [backup-simplify]: Simplify (/ -1 1) into -1
2.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.024 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.024 * [taylor]: Taking taylor expansion of y in x
2.024 * [backup-simplify]: Simplify y into y
2.024 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.025 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.025 * [backup-simplify]: Simplify (* -1 -1) into 1
2.025 * [backup-simplify]: Simplify (+ 1 0) into 1
2.026 * [backup-simplify]: Simplify (+ 0 1) into 1
2.026 * [backup-simplify]: Simplify (sqrt 1) into 1
2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.028 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.028 * [backup-simplify]: Simplify (+ 0 0) into 0
2.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.029 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
2.029 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
2.029 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.029 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.029 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.029 * [taylor]: Taking taylor expansion of -1 in z
2.029 * [backup-simplify]: Simplify -1 into -1
2.029 * [taylor]: Taking taylor expansion of z in z
2.029 * [backup-simplify]: Simplify 0 into 0
2.029 * [backup-simplify]: Simplify 1 into 1
2.030 * [backup-simplify]: Simplify (/ -1 1) into -1
2.030 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.030 * [taylor]: Taking taylor expansion of -1 in z
2.030 * [backup-simplify]: Simplify -1 into -1
2.030 * [taylor]: Taking taylor expansion of z in z
2.030 * [backup-simplify]: Simplify 0 into 0
2.030 * [backup-simplify]: Simplify 1 into 1
2.030 * [backup-simplify]: Simplify (/ -1 1) into -1
2.030 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.030 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.031 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.031 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.031 * [taylor]: Taking taylor expansion of -1 in z
2.031 * [backup-simplify]: Simplify -1 into -1
2.031 * [taylor]: Taking taylor expansion of x in z
2.031 * [backup-simplify]: Simplify x into x
2.031 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.031 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.031 * [taylor]: Taking taylor expansion of -1 in z
2.031 * [backup-simplify]: Simplify -1 into -1
2.031 * [taylor]: Taking taylor expansion of x in z
2.031 * [backup-simplify]: Simplify x into x
2.031 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.031 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.031 * [taylor]: Taking taylor expansion of y in z
2.031 * [backup-simplify]: Simplify y into y
2.031 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.031 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.032 * [backup-simplify]: Simplify (* -1 -1) into 1
2.032 * [backup-simplify]: Simplify (+ 1 0) into 1
2.032 * [backup-simplify]: Simplify (sqrt 1) into 1
2.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.034 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.034 * [backup-simplify]: Simplify (+ 0 0) into 0
2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.035 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
2.035 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
2.035 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
2.035 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.035 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.035 * [taylor]: Taking taylor expansion of -1 in z
2.035 * [backup-simplify]: Simplify -1 into -1
2.035 * [taylor]: Taking taylor expansion of z in z
2.035 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (/ -1 1) into -1
2.036 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.036 * [taylor]: Taking taylor expansion of -1 in z
2.036 * [backup-simplify]: Simplify -1 into -1
2.036 * [taylor]: Taking taylor expansion of z in z
2.036 * [backup-simplify]: Simplify 0 into 0
2.036 * [backup-simplify]: Simplify 1 into 1
2.036 * [backup-simplify]: Simplify (/ -1 1) into -1
2.036 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.037 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.037 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.037 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.037 * [taylor]: Taking taylor expansion of -1 in z
2.037 * [backup-simplify]: Simplify -1 into -1
2.037 * [taylor]: Taking taylor expansion of x in z
2.037 * [backup-simplify]: Simplify x into x
2.037 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.037 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.037 * [taylor]: Taking taylor expansion of -1 in z
2.037 * [backup-simplify]: Simplify -1 into -1
2.037 * [taylor]: Taking taylor expansion of x in z
2.037 * [backup-simplify]: Simplify x into x
2.037 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.037 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.037 * [taylor]: Taking taylor expansion of y in z
2.037 * [backup-simplify]: Simplify y into y
2.037 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.037 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.038 * [backup-simplify]: Simplify (* -1 -1) into 1
2.038 * [backup-simplify]: Simplify (+ 1 0) into 1
2.038 * [backup-simplify]: Simplify (sqrt 1) into 1
2.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.041 * [backup-simplify]: Simplify (+ 0 0) into 0
2.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.041 * [taylor]: Taking taylor expansion of 1 in x
2.041 * [backup-simplify]: Simplify 1 into 1
2.041 * [taylor]: Taking taylor expansion of 0 in x
2.041 * [backup-simplify]: Simplify 0 into 0
2.041 * [taylor]: Taking taylor expansion of 1 in y
2.041 * [backup-simplify]: Simplify 1 into 1
2.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.043 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.044 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.044 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.044 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.044 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.046 * [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))))
2.046 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.046 * [taylor]: Taking taylor expansion of 1/2 in x
2.046 * [backup-simplify]: Simplify 1/2 into 1/2
2.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.046 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.046 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.046 * [taylor]: Taking taylor expansion of x in x
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (* 1 1) into 1
2.047 * [backup-simplify]: Simplify (/ 1 1) into 1
2.047 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.047 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.047 * [taylor]: Taking taylor expansion of y in x
2.047 * [backup-simplify]: Simplify y into y
2.047 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.047 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (+ 0 0) into 0
2.049 * [backup-simplify]: Simplify (+ 1 0) into 1
2.049 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.049 * [taylor]: Taking taylor expansion of 0 in y
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [taylor]: Taking taylor expansion of 0 in y
2.049 * [backup-simplify]: Simplify 0 into 0
2.049 * [taylor]: Taking taylor expansion of 0 in y
2.050 * [backup-simplify]: Simplify 0 into 0
2.050 * [backup-simplify]: Simplify 1 into 1
2.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.052 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.052 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.052 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.052 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.052 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.052 * [backup-simplify]: Simplify (+ 0 0) into 0
2.053 * [backup-simplify]: Simplify (+ 0 0) into 0
2.053 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.053 * [taylor]: Taking taylor expansion of 0 in x
2.053 * [backup-simplify]: Simplify 0 into 0
2.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.054 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.055 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.055 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.055 * [taylor]: Taking taylor expansion of 1/2 in y
2.055 * [backup-simplify]: Simplify 1/2 into 1/2
2.055 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.055 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.055 * [taylor]: Taking taylor expansion of y in y
2.055 * [backup-simplify]: Simplify 0 into 0
2.055 * [backup-simplify]: Simplify 1 into 1
2.055 * [backup-simplify]: Simplify (* 1 1) into 1
2.055 * [backup-simplify]: Simplify (/ 1 1) into 1
2.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [taylor]: Taking taylor expansion of 0 in y
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [taylor]: Taking taylor expansion of 0 in y
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify 0 into 0
2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.059 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.059 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.059 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.059 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
2.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.060 * [backup-simplify]: Simplify (+ 0 0) into 0
2.060 * [backup-simplify]: Simplify (+ 0 0) into 0
2.061 * [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))))))
2.061 * [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
2.062 * [taylor]: Taking taylor expansion of -1/2 in x
2.062 * [backup-simplify]: Simplify -1/2 into -1/2
2.062 * [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
2.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.062 * [taylor]: Taking taylor expansion of 1/2 in x
2.062 * [backup-simplify]: Simplify 1/2 into 1/2
2.062 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.062 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.062 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.062 * [taylor]: Taking taylor expansion of x in x
2.062 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 1 into 1
2.062 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.062 * [taylor]: Taking taylor expansion of y in x
2.062 * [backup-simplify]: Simplify y into y
2.062 * [backup-simplify]: Simplify (* 1 1) into 1
2.062 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.062 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.062 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.062 * [taylor]: Taking taylor expansion of 1/4 in x
2.062 * [backup-simplify]: Simplify 1/4 into 1/4
2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.062 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.062 * [taylor]: Taking taylor expansion of x in x
2.062 * [backup-simplify]: Simplify 0 into 0
2.062 * [backup-simplify]: Simplify 1 into 1
2.063 * [backup-simplify]: Simplify (* 1 1) into 1
2.063 * [backup-simplify]: Simplify (* 1 1) into 1
2.063 * [backup-simplify]: Simplify (/ 1 1) into 1
2.063 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.063 * [taylor]: Taking taylor expansion of 1/4 in x
2.063 * [backup-simplify]: Simplify 1/4 into 1/4
2.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.063 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.063 * [taylor]: Taking taylor expansion of y in x
2.063 * [backup-simplify]: Simplify y into y
2.063 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.063 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.063 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.064 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.072 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.073 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.074 * [backup-simplify]: Simplify (+ 0 0) into 0
2.074 * [backup-simplify]: Simplify (+ 0 0) into 0
2.074 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.075 * [backup-simplify]: Simplify (+ 0 0) into 0
2.075 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.075 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.076 * [backup-simplify]: Simplify (+ 0 0) into 0
2.076 * [backup-simplify]: Simplify (+ 0 0) into 0
2.076 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.076 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.077 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.077 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.077 * [taylor]: Taking taylor expansion of 0 in y
2.077 * [backup-simplify]: Simplify 0 into 0
2.078 * [taylor]: Taking taylor expansion of 0 in y
2.078 * [backup-simplify]: Simplify 0 into 0
2.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.079 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.079 * [backup-simplify]: Simplify (+ 0 0) into 0
2.080 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.080 * [taylor]: Taking taylor expansion of 0 in y
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [taylor]: Taking taylor expansion of 0 in y
2.080 * [backup-simplify]: Simplify 0 into 0
2.080 * [taylor]: Taking taylor expansion of 0 in y
2.080 * [backup-simplify]: Simplify 0 into 0
2.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.082 * [backup-simplify]: Simplify 0 into 0
2.082 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
2.082 * * * [progress]: simplifying candidates
2.084 * [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 (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (log1p (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (fma z z (fma x x (* y y)))) (sqrt (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))))))
  (* (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y))))
  (* (sqrt (fma z z (fma x x (* y y)))) (sqrt (fma z z (fma x x (* y y)))))
  (* (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y))))
  (+ 1 1)
  (+ (log (sqrt (sqrt (fma z z (fma x x (* y y)))))) (log (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (log (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (exp (* (sqrt (sqrt (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 (sqrt (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 (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (cbrt (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))) (cbrt (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))))
  (cbrt (* (sqrt (sqrt (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 (sqrt (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 (sqrt (fma z z (fma x x (* y y))))) (sqrt (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 (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (sqrt (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (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 (sqrt (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 (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (* (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))))) (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)))))))
  (* (sqrt (sqrt (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y))))))) (sqrt (sqrt (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y))))))))
  (* (sqrt (sqrt (cbrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (cbrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* 1 1)
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
  (* (sqrt (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))))))))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y))))))))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt 1))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) 1)
  (* (cbrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (cbrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (sqrt (cbrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (sqrt (sqrt (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 (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (sqrt (sqrt (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 (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (sqrt (sqrt (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 (sqrt (fma z z (fma x x (* y y))))))
  y
  z
  (* -1 z)
  y
  z
  (* -1 z)
  y
  z
  (* -1 z)
2.086 * * [simplify]: Extracting # 0 : cost  0
2.087 * * [simplify]: Extracting # 1 : cost  0
2.087 * * [simplify]: Extracting # 2 : cost  0
2.087 * * [simplify]: Extracting # 3 : cost  0
2.087 * * [simplify]: Extracting # 4 : cost  0
2.087 * * [simplify]: Extracting # 5 : cost  0
2.087 * * [simplify]: Extracting # 6 : cost  0
2.087 * * [simplify]: Extracting # 7 : cost  0
2.087 * * [simplify]: Extracting # 8 : cost  0
2.087 * * [simplify]: iteration  0 :  86  enodes  (cost  2653 )
2.113 * * [simplify]: Extracting # 0 : cost  0
2.114 * * [simplify]: Extracting # 1 : cost  0
2.114 * * [simplify]: Extracting # 2 : cost  0
2.114 * * [simplify]: Extracting # 3 : cost  0
2.114 * * [simplify]: iteration  1 :  165  enodes  (cost  1543 )
2.215 * * [simplify]: Extracting # 0 : cost  0
2.217 * * [simplify]: Extracting # 1 : cost  0
2.219 * * [simplify]: Extracting # 2 : cost  0
2.221 * * [simplify]: Extracting # 3 : cost  0
2.222 * * [simplify]: iteration  2 :  914  enodes  (cost  1414 )
3.015 * * [simplify]: Extracting # 0 : cost  0
3.140 * * [simplify]: Extracting # 1 : cost  0
3.147 * * [simplify]: Extracting # 2 : cost  0
3.153 * * [simplify]: Extracting # 3 : cost  0
3.160 * * [simplify]: Extracting # 4 : cost  0
3.166 * * [simplify]: iteration done:  5001  enodes  (cost  1387 )
3.167 * [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)))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (fma z z (fma x x (* y y)))
  (sqrt (fma z z (fma x x (* y y))))
  (* (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y))))
  (fma z z (fma x x (* y y)))
  (* (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y))))
  2
  (log (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)))))
  (pow (sqrt (fma z z (fma x x (* y y)))) 3)
  (* (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)
  (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)))))
  (pow (cbrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (+ 3 1))
  (* (cbrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (cbrt (sqrt (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)))))
  (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)))))
  (sqrt (sqrt (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 (sqrt (fma z z (fma x x (* y y)))))
  1
  (sqrt (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 (sqrt (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 (sqrt (fma z z (fma x x (* y y)))))
  1
  (sqrt (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 (sqrt (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 (sqrt (fma z z (fma x x (* y y)))))
  1
  (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (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 (sqrt (fma z z (fma x x (* y y)))))
  1
  2
  1/2
  1
  1/2
  (* (cbrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (pow (cbrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (+ 3 1)))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (fabs (cbrt (sqrt (fma z z (fma x x (* y y)))))))
  (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (fabs (cbrt (fma z z (fma x x (* y y)))))))
  (pow (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) 3)
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (pow (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) 3)
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (pow (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) 3)
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (pow (cbrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) (+ 3 1))
  (* (sqrt (cbrt (sqrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (* (sqrt (sqrt (cbrt (fma z z (fma x x (* y y)))))) (sqrt (sqrt (fma z z (fma x x (* y y))))))
  (pow (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) 3)
  (sqrt (fma z z (fma x x (* y y))))
  (pow (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) 3)
  (sqrt (fma z z (fma x x (* y y))))
  (pow (sqrt (sqrt (sqrt (fma z z (fma x x (* y y)))))) 3)
  (sqrt (fma z z (fma x x (* y y))))
  y
  z
  (- z)
  y
  z
  (- z)
  y
  z
  (- z)
3.168 * * * [progress]: adding candidates to table
3.453 * * [progress]: iteration 3 / 4
3.453 * * * [progress]: picking best candidate
3.456 * * * * [pick]: Picked  #<alt (λ (x y z) (- z))>
3.456 * * * [progress]: localizing error
3.458 * * * [progress]: generating rewritten candidates
3.458 * * * [progress]: generating series expansions
3.458 * * * [progress]: simplifying candidates
3.458 * [simplify]: Simplifying:
  
3.458 * * [simplify]: Extracting # 0 : cost  0
3.458 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
3.458 * * [simplify]: Extracting # 0 : cost  0
3.458 * * [simplify]: iteration done:  0  enodes  (cost  0 )
3.458 * [simplify]: Simplified to:
  
3.458 * * * [progress]: adding candidates to table
3.459 * * [progress]: iteration 4 / 4
3.459 * * * [progress]: picking best candidate
3.461 * * * * [pick]: Picked  #<alt (λ (x y z) y)>
3.461 * * * [progress]: localizing error
3.462 * * * [progress]: generating rewritten candidates
3.462 * * * [progress]: generating series expansions
3.462 * * * [progress]: simplifying candidates
3.463 * [simplify]: Simplifying:
  
3.463 * * [simplify]: Extracting # 0 : cost  0
3.463 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
3.463 * * [simplify]: Extracting # 0 : cost  0
3.463 * * [simplify]: iteration done:  0  enodes  (cost  0 )
3.463 * [simplify]: Simplified to:
  
3.463 * * * [progress]: adding candidates to table
3.463 * [progress]: [Phase 3 of 3] Extracting.
3.463 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))>)
3.463 * * * [regime-changes]: Trying 4 branch expressions: ((* y y) z y x)
3.463 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))>)
3.483 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) (- z))>)
3.506 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))>)
3.537 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))>)
3.561 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))>)
3.596 * * * [regime]: Found split indices: #<option (#s(si 4 52) #s(si 2 207) #s(si 1 255))>
3.596 * [binary-search]: Improving bounds with binary search for z and (#<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))>)
3.671 * [regimes]: Found splitpoints: (#s(sp 4 z -5.634597593114443e+55) #s(sp 2 z 2.6491167853788415e+26) #s(sp 1 z +nan.0)) , with alts (#<alt (λ (x y z) (* (sqrt (sqrt (fma z z (fma x x (* y y))))) (sqrt (sqrt (fma z z (fma x x (* y y)))))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))> #<alt (λ (x y z) y)> #<alt (λ (x y z) (- z))>)
3.671 * [simplify]: Simplifying:
  (if (<= z -5.634597593114443e+55) (- z) (if (<= z 2.6491167853788415e+26) (sqrt (fma z z (fma x x (* y y)))) z))
3.672 * * [simplify]: Extracting # 0 : cost  0
3.672 * * [simplify]: Extracting # 1 : cost  0
3.672 * * [simplify]: Extracting # 2 : cost  0
3.672 * * [simplify]: Extracting # 3 : cost  0
3.672 * * [simplify]: Extracting # 4 : cost  0
3.672 * * [simplify]: Extracting # 5 : cost  0
3.672 * * [simplify]: Extracting # 6 : cost  0
3.672 * * [simplify]: Extracting # 7 : cost  0
3.672 * * [simplify]: Extracting # 8 : cost  0
3.672 * * [simplify]: Extracting # 9 : cost  0
3.672 * * [simplify]: Extracting # 10 : cost  0
3.672 * * [simplify]: iteration  0 :  14  enodes  (cost  21 )
3.673 * * [simplify]: Extracting # 0 : cost  0
3.673 * * [simplify]: iteration done:  14  enodes  (cost  21 )
3.673 * [simplify]: Simplified to:
  (if (<= z -5.634597593114443e+55) (- z) (if (<= z 2.6491167853788415e+26) (sqrt (fma z z (fma x x (* y y)))) z))
5.194 * [regime-testing]: Baseline error score: 37.645504821601406
5.196 * [regime-testing]: Oracle error score: 17.698561846550156
5.201 * [regime-testing]: End program error score: 26.490766971711142
5.240 * [regime-testing]: Target error score: 25.32240721184613