92.377 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.023 * * * [progress]: [2/2] Setting up program.
0.025 * [progress]: [Phase 2 of 3] Improving.
0.025 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.025 * * [simplify]: Extracting # 0 : cost  0
0.026 * * [simplify]: Extracting # 1 : cost  0
0.026 * * [simplify]: Extracting # 2 : cost  0
0.026 * * [simplify]: Extracting # 3 : cost  0
0.026 * * [simplify]: Extracting # 4 : cost  0
0.026 * * [simplify]: Extracting # 5 : cost  0
0.026 * * [simplify]: Extracting # 6 : cost  0
0.026 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
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  1 :  14  enodes  (cost  11 )
0.030 * * [simplify]: Extracting # 0 : cost  0
0.030 * * [simplify]: Extracting # 1 : cost  0
0.030 * * [simplify]: Extracting # 2 : cost  0
0.030 * * [simplify]: iteration  2 :  24  enodes  (cost  10 )
0.036 * * [simplify]: Extracting # 0 : cost  0
0.036 * * [simplify]: Extracting # 1 : cost  0
0.036 * * [simplify]: iteration  3 :  30  enodes  (cost  10 )
0.043 * * [simplify]: Extracting # 0 : cost  0
0.043 * * [simplify]: iteration done:  30  enodes  (cost  10 )
0.043 * [simplify]: Simplified to:
  (sqrt (fma z z (fma x x (* y y))))
0.055 * * [progress]: iteration 1 / 4
0.055 * * * [progress]: picking best candidate
0.060 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (fma z z (fma x x (* y y)))))>
0.061 * * * [progress]: localizing error
0.070 * * * [progress]: generating rewritten candidates
0.070 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.072 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 3)
0.073 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
0.074 * * * [progress]: generating series expansions
0.074 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.074 * [backup-simplify]: Simplify (sqrt (fma z z (fma x x (* y y)))) into (sqrt (fma z z (fma x x (pow y 2))))
0.074 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in (z x y) around 0
0.074 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in y
0.074 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
0.075 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.075 * [taylor]: Taking taylor expansion of (* z z) in y
0.075 * [taylor]: Taking taylor expansion of z in y
0.075 * [backup-simplify]: Simplify z into z
0.075 * [taylor]: Taking taylor expansion of z in y
0.075 * [backup-simplify]: Simplify z into z
0.075 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.075 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.075 * [taylor]: Taking taylor expansion of (* x x) in y
0.075 * [taylor]: Taking taylor expansion of x in y
0.075 * [backup-simplify]: Simplify x into x
0.075 * [taylor]: Taking taylor expansion of x in y
0.075 * [backup-simplify]: Simplify x into x
0.075 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.075 * [taylor]: Taking taylor expansion of y in y
0.075 * [backup-simplify]: Simplify 0 into 0
0.075 * [backup-simplify]: Simplify 1 into 1
0.075 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.075 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.075 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.076 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
0.076 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.076 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.076 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.076 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify (+ 0 0) into 0
0.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.077 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in x
0.077 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
0.077 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.077 * [taylor]: Taking taylor expansion of (* z z) in x
0.077 * [taylor]: Taking taylor expansion of z in x
0.077 * [backup-simplify]: Simplify z into z
0.077 * [taylor]: Taking taylor expansion of z in x
0.077 * [backup-simplify]: Simplify z into z
0.077 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.077 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.077 * [taylor]: Taking taylor expansion of (* x x) in x
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [taylor]: Taking taylor expansion of x in x
0.078 * [backup-simplify]: Simplify 0 into 0
0.078 * [backup-simplify]: Simplify 1 into 1
0.078 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.078 * [taylor]: Taking taylor expansion of y in x
0.078 * [backup-simplify]: Simplify y into y
0.078 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.078 * [backup-simplify]: Simplify (* 0 0) into 0
0.078 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.078 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.078 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
0.079 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.079 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.079 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.079 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify (+ 0 0) into 0
0.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.080 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
0.080 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.080 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.080 * [taylor]: Taking taylor expansion of (* z z) in z
0.081 * [taylor]: Taking taylor expansion of z in z
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [taylor]: Taking taylor expansion of z in z
0.081 * [backup-simplify]: Simplify 0 into 0
0.081 * [backup-simplify]: Simplify 1 into 1
0.081 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.081 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.081 * [taylor]: Taking taylor expansion of (* x x) in z
0.081 * [taylor]: Taking taylor expansion of x in z
0.081 * [backup-simplify]: Simplify x into x
0.081 * [taylor]: Taking taylor expansion of x in z
0.081 * [backup-simplify]: Simplify x into x
0.081 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.081 * [taylor]: Taking taylor expansion of y in z
0.081 * [backup-simplify]: Simplify y into y
0.081 * [backup-simplify]: Simplify (* 0 0) into 0
0.081 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.081 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.082 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.082 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.082 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.083 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.083 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.083 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.083 * [backup-simplify]: Simplify (+ 0 0) into 0
0.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.084 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma x x (pow y 2)))) in z
0.084 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.084 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.084 * [taylor]: Taking taylor expansion of (* z z) in z
0.084 * [taylor]: Taking taylor expansion of z in z
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [taylor]: Taking taylor expansion of z in z
0.084 * [backup-simplify]: Simplify 0 into 0
0.084 * [backup-simplify]: Simplify 1 into 1
0.084 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.084 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.084 * [taylor]: Taking taylor expansion of (* x x) in z
0.084 * [taylor]: Taking taylor expansion of x in z
0.084 * [backup-simplify]: Simplify x into x
0.084 * [taylor]: Taking taylor expansion of x in z
0.084 * [backup-simplify]: Simplify x into x
0.084 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.084 * [taylor]: Taking taylor expansion of y in z
0.084 * [backup-simplify]: Simplify y into y
0.085 * [backup-simplify]: Simplify (* 0 0) into 0
0.085 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.085 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.085 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.085 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.085 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.086 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.086 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.086 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.086 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (+ 0 0) into 0
0.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.087 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
0.087 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.087 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.087 * [taylor]: Taking taylor expansion of x in x
0.087 * [backup-simplify]: Simplify 0 into 0
0.087 * [backup-simplify]: Simplify 1 into 1
0.087 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.087 * [taylor]: Taking taylor expansion of y in x
0.087 * [backup-simplify]: Simplify y into y
0.087 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.087 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.088 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
0.088 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.088 * [backup-simplify]: Simplify (+ 0 0) into 0
0.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
0.088 * [taylor]: Taking taylor expansion of y in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [taylor]: Taking taylor expansion of 0 in x
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [taylor]: Taking taylor expansion of 0 in y
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 0 into 0
0.088 * [backup-simplify]: Simplify 1 into 1
0.089 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.089 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.090 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.090 * [backup-simplify]: Simplify (+ 0 0) into 0
0.091 * [backup-simplify]: Simplify (+ 1 0) into 1
0.091 * [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)))))
0.091 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
0.091 * [taylor]: Taking taylor expansion of 1/2 in x
0.092 * [backup-simplify]: Simplify 1/2 into 1/2
0.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
0.092 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
0.092 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.092 * [taylor]: Taking taylor expansion of x in x
0.092 * [backup-simplify]: Simplify 0 into 0
0.092 * [backup-simplify]: Simplify 1 into 1
0.092 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.092 * [taylor]: Taking taylor expansion of y in x
0.092 * [backup-simplify]: Simplify y into y
0.092 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.092 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.092 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.092 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
0.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
0.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
0.093 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.093 * [taylor]: Taking taylor expansion of 1/2 in y
0.093 * [backup-simplify]: Simplify 1/2 into 1/2
0.093 * [taylor]: Taking taylor expansion of y in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.094 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [taylor]: Taking taylor expansion of 0 in y
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify (* 1 1) into 1
0.095 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.095 * [backup-simplify]: Simplify (+ 1 0) into 1
0.095 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
0.095 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
0.095 * [taylor]: Taking taylor expansion of 1/2 in y
0.095 * [backup-simplify]: Simplify 1/2 into 1/2
0.095 * [taylor]: Taking taylor expansion of y in y
0.095 * [backup-simplify]: Simplify 0 into 0
0.095 * [backup-simplify]: Simplify 1 into 1
0.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.096 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
0.097 * [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)))))
0.097 * [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
0.097 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
0.097 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
0.097 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.097 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.097 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.097 * [taylor]: Taking taylor expansion of z in y
0.097 * [backup-simplify]: Simplify z into z
0.097 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.097 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.097 * [taylor]: Taking taylor expansion of z in y
0.097 * [backup-simplify]: Simplify z into z
0.097 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.097 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.097 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.097 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.097 * [taylor]: Taking taylor expansion of x in y
0.097 * [backup-simplify]: Simplify x into x
0.097 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.097 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.097 * [taylor]: Taking taylor expansion of x in y
0.097 * [backup-simplify]: Simplify x into x
0.097 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.097 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.097 * [taylor]: Taking taylor expansion of y in y
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (* 1 1) into 1
0.098 * [backup-simplify]: Simplify (/ 1 1) into 1
0.098 * [backup-simplify]: Simplify (+ 0 1) into 1
0.099 * [backup-simplify]: Simplify (+ 0 1) into 1
0.099 * [backup-simplify]: Simplify (sqrt 1) into 1
0.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.100 * [backup-simplify]: Simplify (+ 0 0) into 0
0.101 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.101 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
0.101 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
0.101 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.101 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.101 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.101 * [taylor]: Taking taylor expansion of z in x
0.101 * [backup-simplify]: Simplify z into z
0.101 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.101 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.101 * [taylor]: Taking taylor expansion of z in x
0.101 * [backup-simplify]: Simplify z into z
0.101 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.101 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.101 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.101 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.101 * [taylor]: Taking taylor expansion of x in x
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.101 * [backup-simplify]: Simplify (/ 1 1) into 1
0.101 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.101 * [taylor]: Taking taylor expansion of x in x
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.102 * [taylor]: Taking taylor expansion of y in x
0.102 * [backup-simplify]: Simplify y into y
0.102 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.102 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.102 * [backup-simplify]: Simplify (* 1 1) into 1
0.102 * [backup-simplify]: Simplify (+ 1 0) into 1
0.103 * [backup-simplify]: Simplify (+ 0 1) into 1
0.103 * [backup-simplify]: Simplify (sqrt 1) into 1
0.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (+ 0 0) into 0
0.105 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.105 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
0.105 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.105 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.105 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.105 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.105 * [taylor]: Taking taylor expansion of z in z
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.105 * [backup-simplify]: Simplify (/ 1 1) into 1
0.105 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.106 * [taylor]: Taking taylor expansion of z in z
0.106 * [backup-simplify]: Simplify 0 into 0
0.106 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.106 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.106 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.106 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.106 * [taylor]: Taking taylor expansion of x in z
0.106 * [backup-simplify]: Simplify x into x
0.106 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.106 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.106 * [taylor]: Taking taylor expansion of x in z
0.106 * [backup-simplify]: Simplify x into x
0.106 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.106 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.106 * [taylor]: Taking taylor expansion of y in z
0.106 * [backup-simplify]: Simplify y into y
0.106 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.106 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (+ 1 0) into 1
0.107 * [backup-simplify]: Simplify (sqrt 1) into 1
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.109 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.110 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.110 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
0.110 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.110 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.110 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.110 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.110 * [taylor]: Taking taylor expansion of z in z
0.110 * [backup-simplify]: Simplify 0 into 0
0.110 * [backup-simplify]: Simplify 1 into 1
0.110 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.111 * [taylor]: Taking taylor expansion of z in z
0.111 * [backup-simplify]: Simplify 0 into 0
0.111 * [backup-simplify]: Simplify 1 into 1
0.111 * [backup-simplify]: Simplify (/ 1 1) into 1
0.111 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.111 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.111 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.111 * [taylor]: Taking taylor expansion of x in z
0.111 * [backup-simplify]: Simplify x into x
0.111 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.111 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.111 * [taylor]: Taking taylor expansion of x in z
0.112 * [backup-simplify]: Simplify x into x
0.112 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.112 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.112 * [taylor]: Taking taylor expansion of y in z
0.112 * [backup-simplify]: Simplify y into y
0.112 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.112 * [backup-simplify]: Simplify (* 1 1) into 1
0.112 * [backup-simplify]: Simplify (+ 1 0) into 1
0.113 * [backup-simplify]: Simplify (sqrt 1) into 1
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.114 * [backup-simplify]: Simplify (+ 0 0) into 0
0.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.115 * [taylor]: Taking taylor expansion of 1 in x
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [taylor]: Taking taylor expansion of 0 in x
0.115 * [backup-simplify]: Simplify 0 into 0
0.115 * [taylor]: Taking taylor expansion of 1 in y
0.115 * [backup-simplify]: Simplify 1 into 1
0.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.116 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
0.116 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.117 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.118 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
0.118 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.118 * [taylor]: Taking taylor expansion of 1/2 in x
0.118 * [backup-simplify]: Simplify 1/2 into 1/2
0.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.118 * [taylor]: Taking taylor expansion of x in x
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [backup-simplify]: Simplify (* 1 1) into 1
0.118 * [backup-simplify]: Simplify (/ 1 1) into 1
0.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.118 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.118 * [taylor]: Taking taylor expansion of y in x
0.118 * [backup-simplify]: Simplify y into y
0.118 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.118 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (+ 0 0) into 0
0.120 * [backup-simplify]: Simplify (+ 1 0) into 1
0.120 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [taylor]: Taking taylor expansion of 0 in y
0.120 * [backup-simplify]: Simplify 0 into 0
0.120 * [backup-simplify]: Simplify 1 into 1
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.122 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.123 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
0.123 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.123 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.124 * [taylor]: Taking taylor expansion of 0 in x
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.125 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
0.125 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
0.125 * [taylor]: Taking taylor expansion of 1/2 in y
0.126 * [backup-simplify]: Simplify 1/2 into 1/2
0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.126 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.126 * [taylor]: Taking taylor expansion of y in y
0.126 * [backup-simplify]: Simplify 0 into 0
0.126 * [backup-simplify]: Simplify 1 into 1
0.126 * [backup-simplify]: Simplify (* 1 1) into 1
0.126 * [backup-simplify]: Simplify (/ 1 1) into 1
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.127 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
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
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.127 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify 0 into 0
0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.130 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.130 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.131 * [backup-simplify]: Simplify (+ 0 0) into 0
0.132 * [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))))))
0.132 * [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
0.132 * [taylor]: Taking taylor expansion of -1/2 in x
0.132 * [backup-simplify]: Simplify -1/2 into -1/2
0.132 * [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
0.132 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
0.132 * [taylor]: Taking taylor expansion of 1/2 in x
0.132 * [backup-simplify]: Simplify 1/2 into 1/2
0.132 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
0.132 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
0.132 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.132 * [taylor]: Taking taylor expansion of x in x
0.132 * [backup-simplify]: Simplify 0 into 0
0.132 * [backup-simplify]: Simplify 1 into 1
0.132 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.132 * [taylor]: Taking taylor expansion of y in x
0.132 * [backup-simplify]: Simplify y into y
0.133 * [backup-simplify]: Simplify (* 1 1) into 1
0.133 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.133 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
0.133 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.133 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
0.133 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
0.133 * [taylor]: Taking taylor expansion of 1/4 in x
0.133 * [backup-simplify]: Simplify 1/4 into 1/4
0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.133 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.133 * [taylor]: Taking taylor expansion of x in x
0.133 * [backup-simplify]: Simplify 0 into 0
0.133 * [backup-simplify]: Simplify 1 into 1
0.134 * [backup-simplify]: Simplify (* 1 1) into 1
0.134 * [backup-simplify]: Simplify (* 1 1) into 1
0.134 * [backup-simplify]: Simplify (/ 1 1) into 1
0.134 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
0.134 * [taylor]: Taking taylor expansion of 1/4 in x
0.134 * [backup-simplify]: Simplify 1/4 into 1/4
0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
0.134 * [taylor]: Taking taylor expansion of (pow y 4) 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)
0.135 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
0.135 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
0.135 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify (+ 0 0) into 0
0.144 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
0.145 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.145 * [backup-simplify]: Simplify (+ 0 0) into 0
0.146 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
0.146 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (+ 0 0) into 0
0.147 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.148 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.148 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.149 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.149 * [taylor]: Taking taylor expansion of 0 in y
0.149 * [backup-simplify]: Simplify 0 into 0
0.149 * [taylor]: Taking taylor expansion of 0 in y
0.149 * [backup-simplify]: Simplify 0 into 0
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.151 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.151 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [taylor]: Taking taylor expansion of 0 in y
0.159 * [backup-simplify]: Simplify 0 into 0
0.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.161 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
0.162 * [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)))))
0.162 * [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
0.162 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
0.162 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
0.162 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.162 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.162 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.162 * [taylor]: Taking taylor expansion of -1 in y
0.163 * [backup-simplify]: Simplify -1 into -1
0.163 * [taylor]: Taking taylor expansion of z in y
0.163 * [backup-simplify]: Simplify z into z
0.163 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.163 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.163 * [taylor]: Taking taylor expansion of -1 in y
0.163 * [backup-simplify]: Simplify -1 into -1
0.163 * [taylor]: Taking taylor expansion of z in y
0.163 * [backup-simplify]: Simplify z into z
0.163 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.163 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.163 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.163 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.163 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.163 * [taylor]: Taking taylor expansion of -1 in y
0.163 * [backup-simplify]: Simplify -1 into -1
0.163 * [taylor]: Taking taylor expansion of x in y
0.163 * [backup-simplify]: Simplify x into x
0.163 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.163 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.163 * [taylor]: Taking taylor expansion of -1 in y
0.163 * [backup-simplify]: Simplify -1 into -1
0.163 * [taylor]: Taking taylor expansion of x in y
0.163 * [backup-simplify]: Simplify x into x
0.163 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.163 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.163 * [taylor]: Taking taylor expansion of y in y
0.163 * [backup-simplify]: Simplify 0 into 0
0.163 * [backup-simplify]: Simplify 1 into 1
0.164 * [backup-simplify]: Simplify (* 1 1) into 1
0.164 * [backup-simplify]: Simplify (/ 1 1) into 1
0.165 * [backup-simplify]: Simplify (+ 0 1) into 1
0.165 * [backup-simplify]: Simplify (+ 0 1) into 1
0.165 * [backup-simplify]: Simplify (sqrt 1) into 1
0.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.168 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
0.168 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
0.168 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.168 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.168 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.168 * [taylor]: Taking taylor expansion of -1 in x
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of z in x
0.168 * [backup-simplify]: Simplify z into z
0.168 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.168 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.168 * [taylor]: Taking taylor expansion of -1 in x
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of z in x
0.168 * [backup-simplify]: Simplify z into z
0.168 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.168 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.168 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.168 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.168 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.168 * [taylor]: Taking taylor expansion of -1 in x
0.168 * [backup-simplify]: Simplify -1 into -1
0.168 * [taylor]: Taking taylor expansion of x in x
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ -1 1) into -1
0.169 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.169 * [taylor]: Taking taylor expansion of -1 in x
0.169 * [backup-simplify]: Simplify -1 into -1
0.169 * [taylor]: Taking taylor expansion of x in x
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [backup-simplify]: Simplify (/ -1 1) into -1
0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.169 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.169 * [taylor]: Taking taylor expansion of y in x
0.169 * [backup-simplify]: Simplify y into y
0.170 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.170 * [backup-simplify]: Simplify (* -1 -1) into 1
0.170 * [backup-simplify]: Simplify (+ 1 0) into 1
0.171 * [backup-simplify]: Simplify (+ 0 1) into 1
0.171 * [backup-simplify]: Simplify (sqrt 1) into 1
0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.173 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.173 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (+ 0 0) into 0
0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.174 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
0.174 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.174 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.174 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.174 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.174 * [taylor]: Taking taylor expansion of -1 in z
0.174 * [backup-simplify]: Simplify -1 into -1
0.174 * [taylor]: Taking taylor expansion of z in z
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ -1 1) into -1
0.175 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.175 * [taylor]: Taking taylor expansion of -1 in z
0.175 * [backup-simplify]: Simplify -1 into -1
0.175 * [taylor]: Taking taylor expansion of z in z
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [backup-simplify]: Simplify (/ -1 1) into -1
0.175 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.175 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.175 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.175 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.175 * [taylor]: Taking taylor expansion of -1 in z
0.175 * [backup-simplify]: Simplify -1 into -1
0.175 * [taylor]: Taking taylor expansion of x in z
0.175 * [backup-simplify]: Simplify x into x
0.175 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.175 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.175 * [taylor]: Taking taylor expansion of -1 in z
0.175 * [backup-simplify]: Simplify -1 into -1
0.175 * [taylor]: Taking taylor expansion of x in z
0.175 * [backup-simplify]: Simplify x into x
0.175 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.175 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.175 * [taylor]: Taking taylor expansion of y in z
0.175 * [backup-simplify]: Simplify y into y
0.176 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.176 * [backup-simplify]: Simplify (* -1 -1) into 1
0.176 * [backup-simplify]: Simplify (+ 1 0) into 1
0.176 * [backup-simplify]: Simplify (sqrt 1) into 1
0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.179 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
0.179 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.179 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.179 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.179 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.179 * [taylor]: Taking taylor expansion of -1 in z
0.179 * [backup-simplify]: Simplify -1 into -1
0.179 * [taylor]: Taking taylor expansion of z in z
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.179 * [backup-simplify]: Simplify (/ -1 1) into -1
0.179 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.180 * [taylor]: Taking taylor expansion of -1 in z
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of z in z
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (/ -1 1) into -1
0.180 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.180 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.180 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.180 * [taylor]: Taking taylor expansion of -1 in z
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of x in z
0.180 * [backup-simplify]: Simplify x into x
0.180 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.180 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.180 * [taylor]: Taking taylor expansion of -1 in z
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of x in z
0.180 * [backup-simplify]: Simplify x into x
0.181 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.181 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.181 * [taylor]: Taking taylor expansion of y in z
0.181 * [backup-simplify]: Simplify y into y
0.181 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.181 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.181 * [backup-simplify]: Simplify (* -1 -1) into 1
0.181 * [backup-simplify]: Simplify (+ 1 0) into 1
0.182 * [backup-simplify]: Simplify (sqrt 1) into 1
0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.183 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.184 * [taylor]: Taking taylor expansion of 1 in x
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [taylor]: Taking taylor expansion of 0 in x
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [taylor]: Taking taylor expansion of 1 in y
0.184 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.186 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.186 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
0.186 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.186 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.187 * [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))))
0.187 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
0.187 * [taylor]: Taking taylor expansion of 1/2 in x
0.187 * [backup-simplify]: Simplify 1/2 into 1/2
0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.187 * [taylor]: Taking taylor expansion of x in x
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [backup-simplify]: Simplify (* 1 1) into 1
0.188 * [backup-simplify]: Simplify (/ 1 1) into 1
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.188 * [taylor]: Taking taylor expansion of y in x
0.188 * [backup-simplify]: Simplify y into y
0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.189 * [backup-simplify]: Simplify (+ 0 0) into 0
0.189 * [backup-simplify]: Simplify (+ 1 0) into 1
0.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.190 * [taylor]: Taking taylor expansion of 0 in y
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [taylor]: Taking taylor expansion of 0 in y
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [taylor]: Taking taylor expansion of 0 in y
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.192 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.192 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.192 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.193 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
0.193 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.193 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (+ 0 0) into 0
0.194 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.194 * [taylor]: Taking taylor expansion of 0 in x
0.194 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.196 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.197 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
0.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
0.197 * [taylor]: Taking taylor expansion of 1/2 in y
0.197 * [backup-simplify]: Simplify 1/2 into 1/2
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.197 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.197 * [taylor]: Taking taylor expansion of y in y
0.197 * [backup-simplify]: Simplify 0 into 0
0.197 * [backup-simplify]: Simplify 1 into 1
0.197 * [backup-simplify]: Simplify (* 1 1) into 1
0.198 * [backup-simplify]: Simplify (/ 1 1) into 1
0.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [taylor]: Taking taylor expansion of 0 in y
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [taylor]: Taking taylor expansion of 0 in y
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify 0 into 0
0.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.202 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.202 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.202 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.203 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
0.203 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.204 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [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))))))
0.206 * [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
0.206 * [taylor]: Taking taylor expansion of -1/2 in x
0.206 * [backup-simplify]: Simplify -1/2 into -1/2
0.206 * [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
0.206 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
0.206 * [taylor]: Taking taylor expansion of 1/2 in x
0.206 * [backup-simplify]: Simplify 1/2 into 1/2
0.206 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
0.206 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
0.206 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.206 * [taylor]: Taking taylor expansion of x in x
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.206 * [taylor]: Taking taylor expansion of y in x
0.206 * [backup-simplify]: Simplify y into y
0.206 * [backup-simplify]: Simplify (* 1 1) into 1
0.206 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.206 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
0.207 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.207 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
0.207 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
0.207 * [taylor]: Taking taylor expansion of 1/4 in x
0.207 * [backup-simplify]: Simplify 1/4 into 1/4
0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
0.207 * [taylor]: Taking taylor expansion of (pow x 4) in x
0.207 * [taylor]: Taking taylor expansion of x in x
0.207 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify 1 into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.207 * [backup-simplify]: Simplify (* 1 1) into 1
0.208 * [backup-simplify]: Simplify (/ 1 1) into 1
0.208 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
0.208 * [taylor]: Taking taylor expansion of 1/4 in x
0.208 * [backup-simplify]: Simplify 1/4 into 1/4
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
0.208 * [taylor]: Taking taylor expansion of (pow y 4) in x
0.208 * [taylor]: Taking taylor expansion of y in x
0.208 * [backup-simplify]: Simplify y into y
0.208 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.208 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
0.208 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
0.208 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
0.217 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.217 * [backup-simplify]: Simplify (+ 0 0) into 0
0.217 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
0.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.218 * [backup-simplify]: Simplify (+ 0 0) into 0
0.219 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.219 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.219 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.220 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.220 * [taylor]: Taking taylor expansion of 0 in y
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [taylor]: Taking taylor expansion of 0 in y
0.220 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
0.222 * [taylor]: Taking taylor expansion of 0 in y
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [taylor]: Taking taylor expansion of 0 in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [taylor]: Taking taylor expansion of 0 in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.224 * [backup-simplify]: Simplify 0 into 0
0.224 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
0.224 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 3)
0.224 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2))
0.224 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0
0.224 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.225 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.225 * [taylor]: Taking taylor expansion of (* x x) in y
0.225 * [taylor]: Taking taylor expansion of x in y
0.225 * [backup-simplify]: Simplify x into x
0.225 * [taylor]: Taking taylor expansion of x in y
0.225 * [backup-simplify]: Simplify x into x
0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.225 * [taylor]: Taking taylor expansion of y in y
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.225 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.225 * [taylor]: Taking taylor expansion of (* x x) in x
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.225 * [taylor]: Taking taylor expansion of y in x
0.225 * [backup-simplify]: Simplify y into y
0.225 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.225 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.225 * [taylor]: Taking taylor expansion of (* x x) in x
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.225 * [taylor]: Taking taylor expansion of y in x
0.225 * [backup-simplify]: Simplify y into y
0.225 * [backup-simplify]: Simplify (* 0 0) into 0
0.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.226 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.226 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.226 * [taylor]: Taking taylor expansion of y in y
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 1 into 1
0.226 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.226 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [taylor]: Taking taylor expansion of 0 in y
0.226 * [backup-simplify]: Simplify 0 into 0
0.226 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.227 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.227 * [backup-simplify]: Simplify (+ 1 0) into 1
0.227 * [taylor]: Taking taylor expansion of 1 in y
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (* 1 1) into 1
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [taylor]: Taking taylor expansion of 0 in y
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.231 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [taylor]: Taking taylor expansion of 0 in y
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.232 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))
0.232 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0
0.232 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.232 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.232 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.232 * [taylor]: Taking taylor expansion of x in y
0.232 * [backup-simplify]: Simplify x into x
0.232 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.232 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.232 * [taylor]: Taking taylor expansion of x in y
0.232 * [backup-simplify]: Simplify x into x
0.232 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.232 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.232 * [taylor]: Taking taylor expansion of y in y
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.233 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.233 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.233 * [taylor]: Taking taylor expansion of x in x
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.233 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.233 * [taylor]: Taking taylor expansion of y in x
0.233 * [backup-simplify]: Simplify y into y
0.233 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.234 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.234 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.234 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.234 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.234 * [taylor]: Taking taylor expansion of x in x
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.234 * [backup-simplify]: Simplify (/ 1 1) into 1
0.234 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.234 * [taylor]: Taking taylor expansion of x in x
0.234 * [backup-simplify]: Simplify 0 into 0
0.234 * [backup-simplify]: Simplify 1 into 1
0.235 * [backup-simplify]: Simplify (/ 1 1) into 1
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.235 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.235 * [taylor]: Taking taylor expansion of y in x
0.235 * [backup-simplify]: Simplify y into y
0.235 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.235 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.235 * [backup-simplify]: Simplify (* 1 1) into 1
0.236 * [backup-simplify]: Simplify (+ 1 0) into 1
0.236 * [taylor]: Taking taylor expansion of 1 in y
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [taylor]: Taking taylor expansion of 0 in y
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.240 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.240 * [taylor]: Taking taylor expansion of y in y
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify (* 1 1) into 1
0.241 * [backup-simplify]: Simplify (/ 1 1) into 1
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [backup-simplify]: Simplify 1 into 1
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.243 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.244 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [taylor]: Taking taylor expansion of 0 in y
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.247 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.248 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [taylor]: Taking taylor expansion of 0 in y
0.249 * [backup-simplify]: Simplify 0 into 0
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.251 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))
0.251 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0
0.251 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.251 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.251 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.251 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.251 * [taylor]: Taking taylor expansion of -1 in y
0.251 * [backup-simplify]: Simplify -1 into -1
0.251 * [taylor]: Taking taylor expansion of x in y
0.251 * [backup-simplify]: Simplify x into x
0.251 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.251 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.251 * [taylor]: Taking taylor expansion of -1 in y
0.251 * [backup-simplify]: Simplify -1 into -1
0.251 * [taylor]: Taking taylor expansion of x in y
0.251 * [backup-simplify]: Simplify x into x
0.251 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.251 * [taylor]: Taking taylor expansion of y in y
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.252 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.252 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.252 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.252 * [taylor]: Taking taylor expansion of -1 in x
0.252 * [backup-simplify]: Simplify -1 into -1
0.252 * [taylor]: Taking taylor expansion of x in x
0.252 * [backup-simplify]: Simplify 0 into 0
0.252 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (/ -1 1) into -1
0.253 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.253 * [taylor]: Taking taylor expansion of -1 in x
0.253 * [backup-simplify]: Simplify -1 into -1
0.253 * [taylor]: Taking taylor expansion of x in x
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (/ -1 1) into -1
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.253 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.253 * [taylor]: Taking taylor expansion of y in x
0.253 * [backup-simplify]: Simplify y into y
0.253 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.253 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.254 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.254 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.254 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.254 * [taylor]: Taking taylor expansion of -1 in x
0.254 * [backup-simplify]: Simplify -1 into -1
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (/ -1 1) into -1
0.254 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.254 * [taylor]: Taking taylor expansion of -1 in x
0.254 * [backup-simplify]: Simplify -1 into -1
0.254 * [taylor]: Taking taylor expansion of x in x
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.255 * [backup-simplify]: Simplify (/ -1 1) into -1
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.255 * [taylor]: Taking taylor expansion of y in x
0.255 * [backup-simplify]: Simplify y into y
0.255 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.255 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.255 * [backup-simplify]: Simplify (* -1 -1) into 1
0.256 * [backup-simplify]: Simplify (+ 1 0) into 1
0.256 * [taylor]: Taking taylor expansion of 1 in y
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [taylor]: Taking taylor expansion of 0 in y
0.258 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.260 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.261 * [taylor]: Taking taylor expansion of y in y
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify (* 1 1) into 1
0.261 * [backup-simplify]: Simplify (/ 1 1) into 1
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [taylor]: Taking taylor expansion of 0 in y
0.264 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.271 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.272 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.273 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [taylor]: Taking taylor expansion of 0 in y
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.275 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
0.275 * [backup-simplify]: Simplify (fma z z (fma x x (* y y))) into (fma z z (fma x x (pow y 2)))
0.275 * [approximate]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in (z x y) around 0
0.275 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in y
0.275 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.275 * [taylor]: Taking taylor expansion of (* z z) in y
0.275 * [taylor]: Taking taylor expansion of z in y
0.275 * [backup-simplify]: Simplify z into z
0.275 * [taylor]: Taking taylor expansion of z in y
0.276 * [backup-simplify]: Simplify z into z
0.276 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
0.276 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.276 * [taylor]: Taking taylor expansion of (* x x) in y
0.276 * [taylor]: Taking taylor expansion of x in y
0.276 * [backup-simplify]: Simplify x into x
0.276 * [taylor]: Taking taylor expansion of x in y
0.276 * [backup-simplify]: Simplify x into x
0.276 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.276 * [taylor]: Taking taylor expansion of y in y
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in x
0.276 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.276 * [taylor]: Taking taylor expansion of (* z z) in x
0.276 * [taylor]: Taking taylor expansion of z in x
0.276 * [backup-simplify]: Simplify z into z
0.276 * [taylor]: Taking taylor expansion of z in x
0.276 * [backup-simplify]: Simplify z into z
0.276 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
0.276 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.276 * [taylor]: Taking taylor expansion of (* x x) in x
0.276 * [taylor]: Taking taylor expansion of x in x
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of x in x
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.276 * [taylor]: Taking taylor expansion of y in x
0.276 * [backup-simplify]: Simplify y into y
0.276 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.276 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.276 * [taylor]: Taking taylor expansion of (* z z) in z
0.276 * [taylor]: Taking taylor expansion of z in z
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of z in z
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [backup-simplify]: Simplify 1 into 1
0.276 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.276 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.277 * [taylor]: Taking taylor expansion of (* x x) in z
0.277 * [taylor]: Taking taylor expansion of x in z
0.277 * [backup-simplify]: Simplify x into x
0.277 * [taylor]: Taking taylor expansion of x in z
0.277 * [backup-simplify]: Simplify x into x
0.277 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.277 * [taylor]: Taking taylor expansion of y in z
0.277 * [backup-simplify]: Simplify y into y
0.277 * [taylor]: Taking taylor expansion of (fma z z (fma x x (pow y 2))) in z
0.277 * [taylor]: Rewrote expression to (+ (* z z) (fma x x (pow y 2)))
0.277 * [taylor]: Taking taylor expansion of (* z z) in z
0.277 * [taylor]: Taking taylor expansion of z in z
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [taylor]: Taking taylor expansion of z in z
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
0.277 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
0.277 * [taylor]: Taking taylor expansion of (* x x) in z
0.277 * [taylor]: Taking taylor expansion of x in z
0.277 * [backup-simplify]: Simplify x into x
0.277 * [taylor]: Taking taylor expansion of x in z
0.277 * [backup-simplify]: Simplify x into x
0.277 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.277 * [taylor]: Taking taylor expansion of y in z
0.277 * [backup-simplify]: Simplify y into y
0.277 * [backup-simplify]: Simplify (* 0 0) into 0
0.277 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.277 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.278 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.278 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
0.278 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.278 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.278 * [taylor]: Taking taylor expansion of x in x
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.278 * [taylor]: Taking taylor expansion of y in x
0.278 * [backup-simplify]: Simplify y into y
0.278 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.278 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.278 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.279 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.279 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [taylor]: Taking taylor expansion of 0 in x
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [taylor]: Taking taylor expansion of 0 in y
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [taylor]: Taking taylor expansion of 0 in y
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify 0 into 0
0.280 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.280 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.281 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.281 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (+ 1 0) into 1
0.281 * [taylor]: Taking taylor expansion of 1 in x
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [taylor]: Taking taylor expansion of 1 in y
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [backup-simplify]: Simplify 1 into 1
0.281 * [taylor]: Taking taylor expansion of 0 in y
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify 0 into 0
0.281 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.282 * [backup-simplify]: Simplify (+ 1 0) into 1
0.282 * [taylor]: Taking taylor expansion of 1 in y
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify 1 into 1
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (* 1 1) into 1
0.282 * [backup-simplify]: Simplify 1 into 1
0.283 * [backup-simplify]: Simplify (+ (* 1 (pow (* y (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* x 1)) 2)) (* 1 (pow (* 1 (* 1 z)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.283 * [backup-simplify]: Simplify (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.283 * [approximate]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (z x y) around 0
0.283 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
0.283 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.283 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.283 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.283 * [taylor]: Taking taylor expansion of z in y
0.283 * [backup-simplify]: Simplify z into z
0.283 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.283 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.283 * [taylor]: Taking taylor expansion of z in y
0.283 * [backup-simplify]: Simplify z into z
0.283 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.284 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
0.284 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.284 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.284 * [taylor]: Taking taylor expansion of x in y
0.284 * [backup-simplify]: Simplify x into x
0.284 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.284 * [taylor]: Taking taylor expansion of (/ 1 x) in y
0.284 * [taylor]: Taking taylor expansion of x in y
0.284 * [backup-simplify]: Simplify x into x
0.284 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.284 * [taylor]: Taking taylor expansion of y in y
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.284 * [backup-simplify]: Simplify (/ 1 1) into 1
0.284 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
0.284 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.284 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
0.285 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.285 * [taylor]: Taking taylor expansion of z in x
0.285 * [backup-simplify]: Simplify z into z
0.285 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.285 * [taylor]: Taking taylor expansion of (/ 1 z) in x
0.285 * [taylor]: Taking taylor expansion of z in x
0.285 * [backup-simplify]: Simplify z into z
0.285 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.285 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
0.285 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.285 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [taylor]: Taking taylor expansion of (/ 1 x) in x
0.285 * [taylor]: Taking taylor expansion of x in x
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.285 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.285 * [taylor]: Taking taylor expansion of y in x
0.285 * [backup-simplify]: Simplify y into y
0.286 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.286 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.286 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.286 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.286 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.286 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.286 * [taylor]: Taking taylor expansion of z in z
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.286 * [taylor]: Taking taylor expansion of z in z
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 1 into 1
0.286 * [backup-simplify]: Simplify (/ 1 1) into 1
0.286 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.287 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.287 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.287 * [taylor]: Taking taylor expansion of x in z
0.287 * [backup-simplify]: Simplify x into x
0.287 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.287 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.287 * [taylor]: Taking taylor expansion of x in z
0.287 * [backup-simplify]: Simplify x into x
0.287 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.287 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.287 * [taylor]: Taking taylor expansion of y in z
0.287 * [backup-simplify]: Simplify y into y
0.287 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.287 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.287 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
0.287 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
0.287 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.287 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.287 * [taylor]: Taking taylor expansion of z in z
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 1 into 1
0.287 * [backup-simplify]: Simplify (/ 1 1) into 1
0.287 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.287 * [taylor]: Taking taylor expansion of z in z
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.288 * [backup-simplify]: Simplify (/ 1 1) into 1
0.288 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
0.288 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
0.288 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.288 * [taylor]: Taking taylor expansion of x in z
0.288 * [backup-simplify]: Simplify x into x
0.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.288 * [taylor]: Taking taylor expansion of (/ 1 x) in z
0.288 * [taylor]: Taking taylor expansion of x in z
0.288 * [backup-simplify]: Simplify x into x
0.288 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.288 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.288 * [taylor]: Taking taylor expansion of y in z
0.288 * [backup-simplify]: Simplify y into y
0.288 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.288 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.289 * [backup-simplify]: Simplify (* 1 1) into 1
0.289 * [backup-simplify]: Simplify (+ 1 0) into 1
0.289 * [taylor]: Taking taylor expansion of 1 in x
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.290 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in x
0.290 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.292 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
0.292 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.292 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.292 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.293 * [taylor]: Taking taylor expansion of x in x
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ 1 1) into 1
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.293 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.293 * [taylor]: Taking taylor expansion of y in x
0.293 * [backup-simplify]: Simplify y into y
0.293 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.293 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.293 * [backup-simplify]: Simplify (+ 1 0) into 1
0.294 * [taylor]: Taking taylor expansion of 1 in y
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [taylor]: Taking taylor expansion of 1 in y
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
0.295 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
0.296 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.296 * [taylor]: Taking taylor expansion of 0 in x
0.296 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.297 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in y
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in y
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [taylor]: Taking taylor expansion of 0 in y
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.300 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in x
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.302 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.302 * [taylor]: Taking taylor expansion of y in y
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify 1 into 1
0.302 * [backup-simplify]: Simplify (* 1 1) into 1
0.302 * [backup-simplify]: Simplify (/ 1 1) into 1
0.302 * [backup-simplify]: Simplify 1 into 1
0.303 * [taylor]: Taking taylor expansion of 0 in y
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [taylor]: Taking taylor expansion of 0 in y
0.303 * [backup-simplify]: Simplify 0 into 0
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify 1 into 1
0.303 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 z)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 x)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.304 * [backup-simplify]: Simplify (fma (/ 1 (- z)) (/ 1 (- z)) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.304 * [approximate]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in (z x y) around 0
0.304 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
0.304 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.304 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.304 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.304 * [taylor]: Taking taylor expansion of -1 in y
0.304 * [backup-simplify]: Simplify -1 into -1
0.304 * [taylor]: Taking taylor expansion of z in y
0.304 * [backup-simplify]: Simplify z into z
0.304 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.304 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.304 * [taylor]: Taking taylor expansion of -1 in y
0.304 * [backup-simplify]: Simplify -1 into -1
0.304 * [taylor]: Taking taylor expansion of z in y
0.304 * [backup-simplify]: Simplify z into z
0.304 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.304 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
0.304 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.304 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.304 * [taylor]: Taking taylor expansion of -1 in y
0.304 * [backup-simplify]: Simplify -1 into -1
0.304 * [taylor]: Taking taylor expansion of x in y
0.304 * [backup-simplify]: Simplify x into x
0.304 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.304 * [taylor]: Taking taylor expansion of (/ -1 x) in y
0.304 * [taylor]: Taking taylor expansion of -1 in y
0.304 * [backup-simplify]: Simplify -1 into -1
0.304 * [taylor]: Taking taylor expansion of x in y
0.304 * [backup-simplify]: Simplify x into x
0.304 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.304 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.304 * [taylor]: Taking taylor expansion of y in y
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
0.305 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.305 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.305 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.305 * [taylor]: Taking taylor expansion of -1 in x
0.305 * [backup-simplify]: Simplify -1 into -1
0.305 * [taylor]: Taking taylor expansion of z in x
0.305 * [backup-simplify]: Simplify z into z
0.305 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.305 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.305 * [taylor]: Taking taylor expansion of -1 in x
0.305 * [backup-simplify]: Simplify -1 into -1
0.305 * [taylor]: Taking taylor expansion of z in x
0.305 * [backup-simplify]: Simplify z into z
0.305 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.305 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
0.305 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.305 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
0.305 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.305 * [taylor]: Taking taylor expansion of -1 in x
0.305 * [backup-simplify]: Simplify -1 into -1
0.305 * [taylor]: Taking taylor expansion of x in x
0.305 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (/ -1 1) into -1
0.306 * [taylor]: Taking taylor expansion of (/ -1 x) in x
0.306 * [taylor]: Taking taylor expansion of -1 in x
0.306 * [backup-simplify]: Simplify -1 into -1
0.306 * [taylor]: Taking taylor expansion of x in x
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (/ -1 1) into -1
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.306 * [taylor]: Taking taylor expansion of y in x
0.306 * [backup-simplify]: Simplify y into y
0.306 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.306 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.306 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.306 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.307 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.307 * [taylor]: Taking taylor expansion of -1 in z
0.307 * [backup-simplify]: Simplify -1 into -1
0.307 * [taylor]: Taking taylor expansion of z in z
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (/ -1 1) into -1
0.307 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.307 * [taylor]: Taking taylor expansion of -1 in z
0.307 * [backup-simplify]: Simplify -1 into -1
0.307 * [taylor]: Taking taylor expansion of z in z
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (/ -1 1) into -1
0.307 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.307 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.307 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.307 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.307 * [taylor]: Taking taylor expansion of -1 in z
0.307 * [backup-simplify]: Simplify -1 into -1
0.307 * [taylor]: Taking taylor expansion of x in z
0.307 * [backup-simplify]: Simplify x into x
0.307 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.308 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.308 * [taylor]: Taking taylor expansion of -1 in z
0.308 * [backup-simplify]: Simplify -1 into -1
0.308 * [taylor]: Taking taylor expansion of x in z
0.308 * [backup-simplify]: Simplify x into x
0.308 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.308 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.308 * [taylor]: Taking taylor expansion of y in z
0.308 * [backup-simplify]: Simplify y into y
0.308 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.308 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
0.308 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
0.308 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.308 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.308 * [taylor]: Taking taylor expansion of -1 in z
0.308 * [backup-simplify]: Simplify -1 into -1
0.308 * [taylor]: Taking taylor expansion of z in z
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.308 * [backup-simplify]: Simplify (/ -1 1) into -1
0.308 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.308 * [taylor]: Taking taylor expansion of -1 in z
0.308 * [backup-simplify]: Simplify -1 into -1
0.308 * [taylor]: Taking taylor expansion of z in z
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (/ -1 1) into -1
0.309 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
0.309 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
0.309 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
0.309 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.309 * [taylor]: Taking taylor expansion of -1 in z
0.309 * [backup-simplify]: Simplify -1 into -1
0.309 * [taylor]: Taking taylor expansion of x in z
0.309 * [backup-simplify]: Simplify x into x
0.309 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.309 * [taylor]: Taking taylor expansion of (/ -1 x) in z
0.309 * [taylor]: Taking taylor expansion of -1 in z
0.309 * [backup-simplify]: Simplify -1 into -1
0.309 * [taylor]: Taking taylor expansion of x in z
0.309 * [backup-simplify]: Simplify x into x
0.309 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
0.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.309 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.309 * [taylor]: Taking taylor expansion of y in z
0.309 * [backup-simplify]: Simplify y into y
0.309 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.310 * [backup-simplify]: Simplify (* -1 -1) into 1
0.310 * [backup-simplify]: Simplify (+ 1 0) into 1
0.310 * [taylor]: Taking taylor expansion of 1 in x
0.310 * [backup-simplify]: Simplify 1 into 1
0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.311 * [backup-simplify]: Simplify (+ 0 0) into 0
0.311 * [taylor]: Taking taylor expansion of 0 in x
0.311 * [backup-simplify]: Simplify 0 into 0
0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.313 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
0.313 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.314 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.314 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.314 * [taylor]: Taking taylor expansion of x in x
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (/ 1 1) into 1
0.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.314 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.314 * [taylor]: Taking taylor expansion of y in x
0.314 * [backup-simplify]: Simplify y into y
0.314 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.315 * [backup-simplify]: Simplify (+ 1 0) into 1
0.315 * [taylor]: Taking taylor expansion of 1 in y
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [taylor]: Taking taylor expansion of 1 in y
0.315 * [backup-simplify]: Simplify 1 into 1
0.315 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.317 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.317 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
0.317 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
0.317 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.317 * [taylor]: Taking taylor expansion of 0 in x
0.318 * [backup-simplify]: Simplify 0 into 0
0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.319 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [taylor]: Taking taylor expansion of 0 in y
0.319 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.321 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.321 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
0.321 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
0.321 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [taylor]: Taking taylor expansion of 0 in x
0.322 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.325 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.325 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.325 * [taylor]: Taking taylor expansion of y in y
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (* 1 1) into 1
0.325 * [backup-simplify]: Simplify (/ 1 1) into 1
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [taylor]: Taking taylor expansion of 0 in y
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [taylor]: Taking taylor expansion of 0 in y
0.326 * [backup-simplify]: Simplify 0 into 0
0.326 * [backup-simplify]: Simplify 1 into 1
0.326 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- z))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- x))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.327 * * * [progress]: simplifying candidates
0.328 * [simplify]: Simplifying:
  (expm1 (sqrt (fma z z (fma x x (* y y)))))
  (log1p (sqrt (fma z z (fma x x (* y y)))))
  (log (sqrt (fma z z (fma x x (* y y)))))
  (exp (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (* (* (sqrt (fma z z (fma x x (* y y)))) (sqrt (fma z z (fma x x (* y y))))) (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y))))))
  (sqrt (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt 1)
  (sqrt (fma z z (fma x x (* y y))))
  (/ 1 2)
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (expm1 (fma z z (fma x x (* y y))))
  (log1p (fma z z (fma x x (* y y))))
  (* z z)
  (log (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))
  (cbrt (fma z z (fma x x (* y y))))
  (* (* (fma z z (fma x x (* y y))) (fma z z (fma x x (* y y)))) (fma z z (fma x x (* y y))))
  (sqrt (fma z z (fma x x (* y y))))
  (sqrt (fma z z (fma x x (* y y))))
  y
  z
  (* -1 z)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.328 * * [simplify]: Extracting # 0 : cost  0
0.329 * * [simplify]: Extracting # 1 : cost  0
0.329 * * [simplify]: Extracting # 2 : cost  0
0.329 * * [simplify]: Extracting # 3 : cost  0
0.329 * * [simplify]: Extracting # 4 : cost  0
0.329 * * [simplify]: Extracting # 5 : cost  0
0.329 * * [simplify]: iteration  0 :  49  enodes  (cost  471 )
0.343 * * [simplify]: Extracting # 0 : cost  0
0.343 * * [simplify]: Extracting # 1 : cost  0
0.344 * * [simplify]: Extracting # 2 : cost  0
0.344 * * [simplify]: iteration  1 :  71  enodes  (cost  438 )
0.363 * * [simplify]: Extracting # 0 : cost  0
0.363 * * [simplify]: Extracting # 1 : cost  0
0.364 * * [simplify]: Extracting # 2 : cost  0
0.364 * * [simplify]: Extracting # 3 : cost  0
0.364 * * [simplify]: iteration  2 :  159  enodes  (cost  389 )
0.424 * * [simplify]: Extracting # 0 : cost  0
0.425 * * [simplify]: Extracting # 1 : cost  0
0.425 * * [simplify]: Extracting # 2 : cost  0
0.425 * * [simplify]: Extracting # 3 : cost  0
0.426 * * [simplify]: Extracting # 4 : cost  0
0.426 * * [simplify]: iteration  3 :  541  enodes  (cost  389 )
0.925 * * [simplify]: Extracting # 0 : cost  0
0.928 * * [simplify]: Extracting # 1 : cost  0
0.930 * * [simplify]: Extracting # 2 : cost  0
0.932 * * [simplify]: Extracting # 3 : cost  0
0.934 * * [simplify]: Extracting # 4 : cost  0
0.936 * * [simplify]: iteration  4 :  2527  enodes  (cost  389 )
1.889 * * [simplify]: Extracting # 0 : cost  0
1.897 * * [simplify]: Extracting # 1 : cost  0
1.906 * * [simplify]: Extracting # 2 : cost  0
1.911 * * [simplify]: Extracting # 3 : cost  0
1.921 * * [simplify]: Extracting # 4 : cost  0
1.926 * * [simplify]: iteration done:  5000  enodes  (cost  389 )
1.927 * [simplify]: Simplified to:
  (expm1 (sqrt (fma z z (fma x x (* y y)))))
  (log1p (sqrt (fma z z (fma x x (* y y)))))
  (log (sqrt (fma z z (fma x x (* y y)))))
  (exp (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (pow (sqrt (fma z z (fma x x (* y y)))) 3)
  (fabs (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  1
  (sqrt (fma z z (fma x x (* y y))))
  1/2
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot y x)
  (hypot y x)
  (expm1 (fma z z (fma x x (* y y))))
  (log1p (fma z z (fma x x (* y y))))
  (* z z)
  (log (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))
  (cbrt (fma z z (fma x x (* y y))))
  (pow (fma z z (fma x x (* y y))) 3)
  (sqrt (fma z z (fma x x (* y y))))
  (sqrt (fma z z (fma x x (* y y))))
  y
  z
  (- z)
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma z z (fma x x (* y y)))
  (fma z z (fma x x (* y y)))
  (fma z z (fma x x (* y y)))
1.927 * * * [progress]: adding candidates to table
2.104 * * [progress]: iteration 2 / 4
2.104 * * * [progress]: picking best candidate
2.112 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))>
2.112 * * * [progress]: localizing error
2.124 * * * [progress]: generating rewritten candidates
2.124 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
2.134 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
2.143 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2)
2.144 * * * [progress]: generating series expansions
2.144 * * * * [progress]: [ 1 / 3 ] generating series at (2)
2.144 * [backup-simplify]: Simplify (sqrt (+ (* z z) (fma x x (* y y)))) into (sqrt (+ (fma x x (pow y 2)) (pow z 2)))
2.144 * [approximate]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in (z x y) around 0
2.144 * [taylor]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in y
2.144 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in y
2.144 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.144 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.144 * [taylor]: Taking taylor expansion of (* x x) in y
2.144 * [taylor]: Taking taylor expansion of x in y
2.144 * [backup-simplify]: Simplify x into x
2.144 * [taylor]: Taking taylor expansion of x in y
2.144 * [backup-simplify]: Simplify x into x
2.144 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.144 * [taylor]: Taking taylor expansion of y in y
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 1 into 1
2.144 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.144 * [taylor]: Taking taylor expansion of z in y
2.144 * [backup-simplify]: Simplify z into z
2.144 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.144 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.144 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.145 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.145 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.145 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.145 * [backup-simplify]: Simplify (+ 0 0) into 0
2.145 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.146 * [backup-simplify]: Simplify (+ 0 0) into 0
2.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.146 * [taylor]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in x
2.146 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in x
2.146 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.146 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.146 * [taylor]: Taking taylor expansion of (* x x) in x
2.146 * [taylor]: Taking taylor expansion of x in x
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 1 into 1
2.146 * [taylor]: Taking taylor expansion of x in x
2.146 * [backup-simplify]: Simplify 0 into 0
2.146 * [backup-simplify]: Simplify 1 into 1
2.146 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.146 * [taylor]: Taking taylor expansion of y in x
2.146 * [backup-simplify]: Simplify y into y
2.146 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.146 * [taylor]: Taking taylor expansion of z in x
2.146 * [backup-simplify]: Simplify z into z
2.146 * [backup-simplify]: Simplify (* 0 0) into 0
2.146 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.147 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.147 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.147 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.147 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.147 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.147 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.148 * [backup-simplify]: Simplify (+ 0 0) into 0
2.148 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.148 * [backup-simplify]: Simplify (+ 0 0) into 0
2.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.148 * [taylor]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in z
2.148 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in z
2.148 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.148 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.148 * [taylor]: Taking taylor expansion of (* x x) in z
2.148 * [taylor]: Taking taylor expansion of x in z
2.148 * [backup-simplify]: Simplify x into x
2.148 * [taylor]: Taking taylor expansion of x in z
2.148 * [backup-simplify]: Simplify x into x
2.148 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.148 * [taylor]: Taking taylor expansion of y in z
2.148 * [backup-simplify]: Simplify y into y
2.148 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.148 * [taylor]: Taking taylor expansion of z in z
2.148 * [backup-simplify]: Simplify 0 into 0
2.148 * [backup-simplify]: Simplify 1 into 1
2.148 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.148 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.149 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.149 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
2.149 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.149 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.149 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.149 * [backup-simplify]: Simplify (+ 0 0) into 0
2.150 * [backup-simplify]: Simplify (+ 0 0) into 0
2.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.155 * [taylor]: Taking taylor expansion of (sqrt (+ (fma x x (pow y 2)) (pow z 2))) in z
2.155 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in z
2.155 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.155 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.155 * [taylor]: Taking taylor expansion of (* x x) in z
2.155 * [taylor]: Taking taylor expansion of x in z
2.155 * [backup-simplify]: Simplify x into x
2.155 * [taylor]: Taking taylor expansion of x in z
2.155 * [backup-simplify]: Simplify x into x
2.155 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.155 * [taylor]: Taking taylor expansion of y in z
2.155 * [backup-simplify]: Simplify y into y
2.155 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.155 * [taylor]: Taking taylor expansion of z in z
2.155 * [backup-simplify]: Simplify 0 into 0
2.155 * [backup-simplify]: Simplify 1 into 1
2.155 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.155 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.155 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.155 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
2.155 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.156 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.156 * [backup-simplify]: Simplify (+ 0 0) into 0
2.156 * [backup-simplify]: Simplify (+ 0 0) into 0
2.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.157 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.157 * [taylor]: Taking taylor expansion of x in x
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 1 into 1
2.157 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.157 * [taylor]: Taking taylor expansion of y in x
2.157 * [backup-simplify]: Simplify y into y
2.157 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.157 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.157 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.157 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.157 * [backup-simplify]: Simplify (+ 0 0) into 0
2.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.157 * [taylor]: Taking taylor expansion of y in y
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 1 into 1
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [taylor]: Taking taylor expansion of 0 in x
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [taylor]: Taking taylor expansion of 0 in y
2.157 * [backup-simplify]: Simplify 0 into 0
2.157 * [backup-simplify]: Simplify 0 into 0
2.158 * [taylor]: Taking taylor expansion of 0 in y
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify 0 into 0
2.158 * [backup-simplify]: Simplify 1 into 1
2.158 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.158 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.158 * [backup-simplify]: Simplify (+ 0 0) into 0
2.159 * [backup-simplify]: Simplify (* 1 1) into 1
2.159 * [backup-simplify]: Simplify (+ 0 1) into 1
2.161 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
2.161 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
2.161 * [taylor]: Taking taylor expansion of 1/2 in x
2.161 * [backup-simplify]: Simplify 1/2 into 1/2
2.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
2.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
2.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.161 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.161 * [taylor]: Taking taylor expansion of x in x
2.161 * [backup-simplify]: Simplify 0 into 0
2.161 * [backup-simplify]: Simplify 1 into 1
2.161 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.161 * [taylor]: Taking taylor expansion of y in x
2.161 * [backup-simplify]: Simplify y into y
2.161 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.161 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.161 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.161 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
2.161 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.162 * [backup-simplify]: Simplify (+ 0 0) into 0
2.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
2.162 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
2.162 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.162 * [taylor]: Taking taylor expansion of 1/2 in y
2.162 * [backup-simplify]: Simplify 1/2 into 1/2
2.162 * [taylor]: Taking taylor expansion of y in y
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [backup-simplify]: Simplify 1 into 1
2.162 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [taylor]: Taking taylor expansion of 0 in y
2.163 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify 0 into 0
2.164 * [backup-simplify]: Simplify (* 1 1) into 1
2.164 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.164 * [backup-simplify]: Simplify (+ 1 0) into 1
2.165 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.165 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.165 * [taylor]: Taking taylor expansion of 1/2 in y
2.165 * [backup-simplify]: Simplify 1/2 into 1/2
2.165 * [taylor]: Taking taylor expansion of y in y
2.165 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify 1 into 1
2.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.165 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify 0 into 0
2.165 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify 0 into 0
2.166 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
2.166 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))))) into (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))))
2.166 * [approximate]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in (z x y) around 0
2.166 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in y
2.166 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y
2.166 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.166 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.166 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.166 * [taylor]: Taking taylor expansion of x in y
2.166 * [backup-simplify]: Simplify x into x
2.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.166 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.166 * [taylor]: Taking taylor expansion of x in y
2.166 * [backup-simplify]: Simplify x into x
2.166 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.166 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.167 * [taylor]: Taking taylor expansion of y in y
2.167 * [backup-simplify]: Simplify 0 into 0
2.167 * [backup-simplify]: Simplify 1 into 1
2.167 * [backup-simplify]: Simplify (* 1 1) into 1
2.167 * [backup-simplify]: Simplify (/ 1 1) into 1
2.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.167 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.167 * [taylor]: Taking taylor expansion of z in y
2.167 * [backup-simplify]: Simplify z into z
2.167 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.167 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.167 * [backup-simplify]: Simplify (+ 0 1) into 1
2.168 * [backup-simplify]: Simplify (+ 1 0) into 1
2.168 * [backup-simplify]: Simplify (sqrt 1) into 1
2.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.169 * [backup-simplify]: Simplify (+ 0 0) into 0
2.169 * [backup-simplify]: Simplify (+ 0 0) into 0
2.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.170 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in x
2.170 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x
2.170 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.170 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.170 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.170 * [taylor]: Taking taylor expansion of x in x
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify 1 into 1
2.170 * [backup-simplify]: Simplify (/ 1 1) into 1
2.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.170 * [taylor]: Taking taylor expansion of x in x
2.170 * [backup-simplify]: Simplify 0 into 0
2.170 * [backup-simplify]: Simplify 1 into 1
2.171 * [backup-simplify]: Simplify (/ 1 1) into 1
2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.171 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.171 * [taylor]: Taking taylor expansion of y in x
2.171 * [backup-simplify]: Simplify y into y
2.171 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.171 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.171 * [taylor]: Taking taylor expansion of z in x
2.171 * [backup-simplify]: Simplify z into z
2.171 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.171 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.171 * [backup-simplify]: Simplify (* 1 1) into 1
2.172 * [backup-simplify]: Simplify (+ 1 0) into 1
2.172 * [backup-simplify]: Simplify (+ 1 0) into 1
2.172 * [backup-simplify]: Simplify (sqrt 1) into 1
2.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.173 * [backup-simplify]: Simplify (+ 0 0) into 0
2.174 * [backup-simplify]: Simplify (+ 0 0) into 0
2.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.174 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in z
2.174 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.174 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.174 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.174 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.174 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.174 * [taylor]: Taking taylor expansion of x in z
2.174 * [backup-simplify]: Simplify x into x
2.175 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.175 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.175 * [taylor]: Taking taylor expansion of x in z
2.175 * [backup-simplify]: Simplify x into x
2.175 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.175 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.175 * [taylor]: Taking taylor expansion of y in z
2.175 * [backup-simplify]: Simplify y into y
2.175 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.175 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.175 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.175 * [taylor]: Taking taylor expansion of z in z
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [backup-simplify]: Simplify (* 1 1) into 1
2.175 * [backup-simplify]: Simplify (/ 1 1) into 1
2.176 * [backup-simplify]: Simplify (+ 0 1) into 1
2.176 * [backup-simplify]: Simplify (sqrt 1) into 1
2.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.177 * [backup-simplify]: Simplify (+ 0 0) into 0
2.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.177 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in z
2.177 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.178 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.178 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.178 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.178 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.178 * [taylor]: Taking taylor expansion of x in z
2.178 * [backup-simplify]: Simplify x into x
2.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.178 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.178 * [taylor]: Taking taylor expansion of x in z
2.178 * [backup-simplify]: Simplify x into x
2.178 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.178 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.178 * [taylor]: Taking taylor expansion of y in z
2.178 * [backup-simplify]: Simplify y into y
2.178 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.178 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.178 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.178 * [taylor]: Taking taylor expansion of z in z
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 1 into 1
2.178 * [backup-simplify]: Simplify (* 1 1) into 1
2.179 * [backup-simplify]: Simplify (/ 1 1) into 1
2.179 * [backup-simplify]: Simplify (+ 0 1) into 1
2.179 * [backup-simplify]: Simplify (sqrt 1) into 1
2.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.180 * [backup-simplify]: Simplify (+ 0 0) into 0
2.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.181 * [taylor]: Taking taylor expansion of 1 in x
2.181 * [backup-simplify]: Simplify 1 into 1
2.181 * [taylor]: Taking taylor expansion of 0 in x
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [taylor]: Taking taylor expansion of 1 in y
2.181 * [backup-simplify]: Simplify 1 into 1
2.181 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.181 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.182 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.183 * [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))))
2.183 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.183 * [taylor]: Taking taylor expansion of 1/2 in x
2.183 * [backup-simplify]: Simplify 1/2 into 1/2
2.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.183 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.183 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.183 * [taylor]: Taking taylor expansion of x in x
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify 1 into 1
2.184 * [backup-simplify]: Simplify (* 1 1) into 1
2.184 * [backup-simplify]: Simplify (/ 1 1) into 1
2.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.184 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.184 * [taylor]: Taking taylor expansion of y in x
2.184 * [backup-simplify]: Simplify y into y
2.184 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.184 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.185 * [backup-simplify]: Simplify (+ 0 0) into 0
2.185 * [backup-simplify]: Simplify (+ 1 0) into 1
2.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.186 * [taylor]: Taking taylor expansion of 0 in y
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [taylor]: Taking taylor expansion of 0 in y
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [taylor]: Taking taylor expansion of 0 in y
2.186 * [backup-simplify]: Simplify 0 into 0
2.186 * [backup-simplify]: Simplify 1 into 1
2.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.186 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.186 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.187 * [backup-simplify]: Simplify (+ 0 0) into 0
2.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.188 * [backup-simplify]: Simplify (+ 0 0) into 0
2.188 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.188 * [taylor]: Taking taylor expansion of 0 in x
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.190 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.190 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.190 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.190 * [taylor]: Taking taylor expansion of 1/2 in y
2.190 * [backup-simplify]: Simplify 1/2 into 1/2
2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.190 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.190 * [taylor]: Taking taylor expansion of y in y
2.190 * [backup-simplify]: Simplify 0 into 0
2.190 * [backup-simplify]: Simplify 1 into 1
2.191 * [backup-simplify]: Simplify (* 1 1) into 1
2.191 * [backup-simplify]: Simplify (/ 1 1) into 1
2.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.192 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [taylor]: Taking taylor expansion of 0 in y
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [taylor]: Taking taylor expansion of 0 in y
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify 0 into 0
2.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.193 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.193 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.193 * [backup-simplify]: Simplify (+ 0 0) into 0
2.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.195 * [backup-simplify]: Simplify (+ 0 0) into 0
2.196 * [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))))))
2.196 * [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
2.196 * [taylor]: Taking taylor expansion of -1/2 in x
2.196 * [backup-simplify]: Simplify -1/2 into -1/2
2.196 * [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
2.196 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.196 * [taylor]: Taking taylor expansion of 1/2 in x
2.196 * [backup-simplify]: Simplify 1/2 into 1/2
2.196 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.196 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.196 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.196 * [taylor]: Taking taylor expansion of x in x
2.196 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify 1 into 1
2.196 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.196 * [taylor]: Taking taylor expansion of y in x
2.196 * [backup-simplify]: Simplify y into y
2.196 * [backup-simplify]: Simplify (* 1 1) into 1
2.197 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.197 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.197 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.197 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.197 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.197 * [taylor]: Taking taylor expansion of 1/4 in x
2.197 * [backup-simplify]: Simplify 1/4 into 1/4
2.197 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.197 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.197 * [taylor]: Taking taylor expansion of x in x
2.197 * [backup-simplify]: Simplify 0 into 0
2.197 * [backup-simplify]: Simplify 1 into 1
2.197 * [backup-simplify]: Simplify (* 1 1) into 1
2.197 * [backup-simplify]: Simplify (* 1 1) into 1
2.198 * [backup-simplify]: Simplify (/ 1 1) into 1
2.198 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.198 * [taylor]: Taking taylor expansion of 1/4 in x
2.198 * [backup-simplify]: Simplify 1/4 into 1/4
2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.198 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.198 * [taylor]: Taking taylor expansion of y in x
2.198 * [backup-simplify]: Simplify y into y
2.198 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.198 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.198 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.198 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.205 * [backup-simplify]: Simplify (+ 0 0) into 0
2.205 * [backup-simplify]: Simplify (+ 0 0) into 0
2.205 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.206 * [backup-simplify]: Simplify (+ 0 0) into 0
2.206 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.206 * [backup-simplify]: Simplify (+ 0 0) into 0
2.207 * [backup-simplify]: Simplify (+ 0 0) into 0
2.207 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.207 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.207 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.208 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.208 * [taylor]: Taking taylor expansion of 0 in y
2.208 * [backup-simplify]: Simplify 0 into 0
2.208 * [taylor]: Taking taylor expansion of 0 in y
2.208 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.209 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.210 * [backup-simplify]: Simplify (+ 0 0) into 0
2.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.211 * [taylor]: Taking taylor expansion of 0 in y
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [taylor]: Taking taylor expansion of 0 in y
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [taylor]: Taking taylor expansion of 0 in y
2.211 * [backup-simplify]: Simplify 0 into 0
2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.212 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.212 * [backup-simplify]: Simplify 0 into 0
2.212 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
2.213 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))))) into (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))))
2.213 * [approximate]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in (z x y) around 0
2.213 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in y
2.213 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y
2.213 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.213 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.213 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.213 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.213 * [taylor]: Taking taylor expansion of -1 in y
2.213 * [backup-simplify]: Simplify -1 into -1
2.213 * [taylor]: Taking taylor expansion of x in y
2.213 * [backup-simplify]: Simplify x into x
2.213 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.213 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.213 * [taylor]: Taking taylor expansion of -1 in y
2.213 * [backup-simplify]: Simplify -1 into -1
2.213 * [taylor]: Taking taylor expansion of x in y
2.213 * [backup-simplify]: Simplify x into x
2.213 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.213 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.213 * [taylor]: Taking taylor expansion of y in y
2.213 * [backup-simplify]: Simplify 0 into 0
2.213 * [backup-simplify]: Simplify 1 into 1
2.213 * [backup-simplify]: Simplify (* 1 1) into 1
2.214 * [backup-simplify]: Simplify (/ 1 1) into 1
2.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.214 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.214 * [taylor]: Taking taylor expansion of z in y
2.214 * [backup-simplify]: Simplify z into z
2.214 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.214 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.214 * [backup-simplify]: Simplify (+ 0 1) into 1
2.215 * [backup-simplify]: Simplify (+ 1 0) into 1
2.215 * [backup-simplify]: Simplify (sqrt 1) into 1
2.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.217 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in x
2.217 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x
2.217 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.217 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.217 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.217 * [taylor]: Taking taylor expansion of -1 in x
2.217 * [backup-simplify]: Simplify -1 into -1
2.217 * [taylor]: Taking taylor expansion of x in x
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify 1 into 1
2.217 * [backup-simplify]: Simplify (/ -1 1) into -1
2.217 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.217 * [taylor]: Taking taylor expansion of -1 in x
2.217 * [backup-simplify]: Simplify -1 into -1
2.217 * [taylor]: Taking taylor expansion of x in x
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify 1 into 1
2.217 * [backup-simplify]: Simplify (/ -1 1) into -1
2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.218 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.218 * [taylor]: Taking taylor expansion of y in x
2.218 * [backup-simplify]: Simplify y into y
2.218 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.218 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.218 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.218 * [taylor]: Taking taylor expansion of z in x
2.218 * [backup-simplify]: Simplify z into z
2.218 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.218 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.218 * [backup-simplify]: Simplify (* -1 -1) into 1
2.218 * [backup-simplify]: Simplify (+ 1 0) into 1
2.219 * [backup-simplify]: Simplify (+ 1 0) into 1
2.219 * [backup-simplify]: Simplify (sqrt 1) into 1
2.219 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.220 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.220 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify (+ 0 0) into 0
2.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.221 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in z
2.221 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.221 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.221 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.221 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.221 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.221 * [taylor]: Taking taylor expansion of -1 in z
2.221 * [backup-simplify]: Simplify -1 into -1
2.221 * [taylor]: Taking taylor expansion of x in z
2.221 * [backup-simplify]: Simplify x into x
2.221 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.221 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.221 * [taylor]: Taking taylor expansion of -1 in z
2.221 * [backup-simplify]: Simplify -1 into -1
2.221 * [taylor]: Taking taylor expansion of x in z
2.222 * [backup-simplify]: Simplify x into x
2.222 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.222 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.222 * [taylor]: Taking taylor expansion of y in z
2.222 * [backup-simplify]: Simplify y into y
2.222 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.222 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.222 * [taylor]: Taking taylor expansion of z in z
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify 1 into 1
2.222 * [backup-simplify]: Simplify (* 1 1) into 1
2.222 * [backup-simplify]: Simplify (/ 1 1) into 1
2.223 * [backup-simplify]: Simplify (+ 0 1) into 1
2.223 * [backup-simplify]: Simplify (sqrt 1) into 1
2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.224 * [backup-simplify]: Simplify (+ 0 0) into 0
2.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.224 * [taylor]: Taking taylor expansion of (sqrt (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))) in z
2.224 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.224 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.224 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.224 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.224 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.225 * [taylor]: Taking taylor expansion of -1 in z
2.225 * [backup-simplify]: Simplify -1 into -1
2.225 * [taylor]: Taking taylor expansion of x in z
2.225 * [backup-simplify]: Simplify x into x
2.225 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.225 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.225 * [taylor]: Taking taylor expansion of -1 in z
2.225 * [backup-simplify]: Simplify -1 into -1
2.225 * [taylor]: Taking taylor expansion of x in z
2.225 * [backup-simplify]: Simplify x into x
2.225 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.225 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.225 * [taylor]: Taking taylor expansion of y in z
2.225 * [backup-simplify]: Simplify y into y
2.225 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.225 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.225 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.225 * [taylor]: Taking taylor expansion of z in z
2.225 * [backup-simplify]: Simplify 0 into 0
2.225 * [backup-simplify]: Simplify 1 into 1
2.225 * [backup-simplify]: Simplify (* 1 1) into 1
2.225 * [backup-simplify]: Simplify (/ 1 1) into 1
2.226 * [backup-simplify]: Simplify (+ 0 1) into 1
2.226 * [backup-simplify]: Simplify (sqrt 1) into 1
2.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.227 * [backup-simplify]: Simplify (+ 0 0) into 0
2.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.229 * [taylor]: Taking taylor expansion of 1 in x
2.229 * [backup-simplify]: Simplify 1 into 1
2.229 * [taylor]: Taking taylor expansion of 0 in x
2.229 * [backup-simplify]: Simplify 0 into 0
2.229 * [taylor]: Taking taylor expansion of 1 in y
2.229 * [backup-simplify]: Simplify 1 into 1
2.229 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.229 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.231 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.231 * [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))))
2.231 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.231 * [taylor]: Taking taylor expansion of 1/2 in x
2.231 * [backup-simplify]: Simplify 1/2 into 1/2
2.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.232 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.232 * [taylor]: Taking taylor expansion of x in x
2.232 * [backup-simplify]: Simplify 0 into 0
2.232 * [backup-simplify]: Simplify 1 into 1
2.232 * [backup-simplify]: Simplify (* 1 1) into 1
2.232 * [backup-simplify]: Simplify (/ 1 1) into 1
2.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.232 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.232 * [taylor]: Taking taylor expansion of y in x
2.232 * [backup-simplify]: Simplify y into y
2.232 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.232 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.233 * [backup-simplify]: Simplify (+ 0 0) into 0
2.234 * [backup-simplify]: Simplify (+ 1 0) into 1
2.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.234 * [taylor]: Taking taylor expansion of 0 in y
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [taylor]: Taking taylor expansion of 0 in y
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [taylor]: Taking taylor expansion of 0 in y
2.234 * [backup-simplify]: Simplify 0 into 0
2.234 * [backup-simplify]: Simplify 1 into 1
2.234 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.234 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.234 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.234 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.235 * [backup-simplify]: Simplify (+ 0 0) into 0
2.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.236 * [backup-simplify]: Simplify (+ 0 0) into 0
2.237 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.237 * [taylor]: Taking taylor expansion of 0 in x
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.238 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.238 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
2.238 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
2.238 * [taylor]: Taking taylor expansion of 1/2 in y
2.239 * [backup-simplify]: Simplify 1/2 into 1/2
2.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.239 * [taylor]: Taking taylor expansion of y in y
2.239 * [backup-simplify]: Simplify 0 into 0
2.239 * [backup-simplify]: Simplify 1 into 1
2.239 * [backup-simplify]: Simplify (* 1 1) into 1
2.239 * [backup-simplify]: Simplify (/ 1 1) into 1
2.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.240 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [taylor]: Taking taylor expansion of 0 in y
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [taylor]: Taking taylor expansion of 0 in y
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 0 into 0
2.240 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.241 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.241 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
2.241 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.242 * [backup-simplify]: Simplify (+ 0 0) into 0
2.242 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.243 * [backup-simplify]: Simplify (+ 0 0) into 0
2.244 * [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))))))
2.244 * [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
2.244 * [taylor]: Taking taylor expansion of -1/2 in x
2.244 * [backup-simplify]: Simplify -1/2 into -1/2
2.244 * [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
2.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
2.244 * [taylor]: Taking taylor expansion of 1/2 in x
2.244 * [backup-simplify]: Simplify 1/2 into 1/2
2.244 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
2.244 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
2.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.245 * [taylor]: Taking taylor expansion of x in x
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 1 into 1
2.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.245 * [taylor]: Taking taylor expansion of y in x
2.245 * [backup-simplify]: Simplify y into y
2.245 * [backup-simplify]: Simplify (* 1 1) into 1
2.245 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.245 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
2.245 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.245 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
2.245 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
2.245 * [taylor]: Taking taylor expansion of 1/4 in x
2.245 * [backup-simplify]: Simplify 1/4 into 1/4
2.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
2.245 * [taylor]: Taking taylor expansion of (pow x 4) in x
2.245 * [taylor]: Taking taylor expansion of x in x
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 1 into 1
2.246 * [backup-simplify]: Simplify (* 1 1) into 1
2.246 * [backup-simplify]: Simplify (* 1 1) into 1
2.246 * [backup-simplify]: Simplify (/ 1 1) into 1
2.246 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
2.246 * [taylor]: Taking taylor expansion of 1/4 in x
2.246 * [backup-simplify]: Simplify 1/4 into 1/4
2.246 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
2.246 * [taylor]: Taking taylor expansion of (pow y 4) in x
2.246 * [taylor]: Taking taylor expansion of y in x
2.246 * [backup-simplify]: Simplify y into y
2.246 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.246 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
2.246 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
2.247 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
2.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.251 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
2.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.257 * [backup-simplify]: Simplify (+ 0 0) into 0
2.259 * [backup-simplify]: Simplify (+ 0 0) into 0
2.259 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
2.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.260 * [backup-simplify]: Simplify (+ 0 0) into 0
2.260 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
2.260 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.261 * [backup-simplify]: Simplify (+ 0 0) into 0
2.261 * [backup-simplify]: Simplify (+ 0 0) into 0
2.261 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.261 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.262 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.262 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.262 * [taylor]: Taking taylor expansion of 0 in y
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [taylor]: Taking taylor expansion of 0 in y
2.262 * [backup-simplify]: Simplify 0 into 0
2.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.264 * [backup-simplify]: Simplify (+ 0 0) into 0
2.265 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
2.265 * [taylor]: Taking taylor expansion of 0 in y
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [taylor]: Taking taylor expansion of 0 in y
2.265 * [backup-simplify]: Simplify 0 into 0
2.265 * [taylor]: Taking taylor expansion of 0 in y
2.265 * [backup-simplify]: Simplify 0 into 0
2.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
2.267 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
2.267 * [backup-simplify]: Simplify (+ (* z z) (fma x x (* y y))) into (+ (fma x x (pow y 2)) (pow z 2))
2.267 * [approximate]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in (z x y) around 0
2.267 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in y
2.267 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.267 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.267 * [taylor]: Taking taylor expansion of (* x x) in y
2.267 * [taylor]: Taking taylor expansion of x in y
2.267 * [backup-simplify]: Simplify x into x
2.267 * [taylor]: Taking taylor expansion of x in y
2.267 * [backup-simplify]: Simplify x into x
2.267 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.267 * [taylor]: Taking taylor expansion of y in y
2.267 * [backup-simplify]: Simplify 0 into 0
2.267 * [backup-simplify]: Simplify 1 into 1
2.267 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.267 * [taylor]: Taking taylor expansion of z in y
2.267 * [backup-simplify]: Simplify z into z
2.267 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in x
2.267 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.268 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.268 * [taylor]: Taking taylor expansion of (* x x) in x
2.268 * [taylor]: Taking taylor expansion of x in x
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [taylor]: Taking taylor expansion of x in x
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.268 * [taylor]: Taking taylor expansion of y in x
2.268 * [backup-simplify]: Simplify y into y
2.268 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.268 * [taylor]: Taking taylor expansion of z in x
2.268 * [backup-simplify]: Simplify z into z
2.268 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in z
2.268 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.268 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.268 * [taylor]: Taking taylor expansion of (* x x) in z
2.268 * [taylor]: Taking taylor expansion of x in z
2.268 * [backup-simplify]: Simplify x into x
2.268 * [taylor]: Taking taylor expansion of x in z
2.268 * [backup-simplify]: Simplify x into x
2.268 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.268 * [taylor]: Taking taylor expansion of y in z
2.268 * [backup-simplify]: Simplify y into y
2.268 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.268 * [taylor]: Taking taylor expansion of z in z
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [taylor]: Taking taylor expansion of (+ (fma x x (pow y 2)) (pow z 2)) in z
2.268 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
2.268 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.268 * [taylor]: Taking taylor expansion of (* x x) in z
2.268 * [taylor]: Taking taylor expansion of x in z
2.268 * [backup-simplify]: Simplify x into x
2.268 * [taylor]: Taking taylor expansion of x in z
2.268 * [backup-simplify]: Simplify x into x
2.268 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.268 * [taylor]: Taking taylor expansion of y in z
2.268 * [backup-simplify]: Simplify y into y
2.268 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.268 * [taylor]: Taking taylor expansion of z in z
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.268 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.269 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.269 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
2.269 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.269 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.269 * [taylor]: Taking taylor expansion of x in x
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 1 into 1
2.269 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.269 * [taylor]: Taking taylor expansion of y in x
2.269 * [backup-simplify]: Simplify y into y
2.269 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.269 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.269 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.269 * [taylor]: Taking taylor expansion of y in y
2.269 * [backup-simplify]: Simplify 0 into 0
2.269 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.269 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.269 * [backup-simplify]: Simplify (+ 0 0) into 0
2.270 * [backup-simplify]: Simplify (+ 0 0) into 0
2.270 * [taylor]: Taking taylor expansion of 0 in x
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [taylor]: Taking taylor expansion of 0 in y
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.270 * [backup-simplify]: Simplify (+ 0 0) into 0
2.270 * [taylor]: Taking taylor expansion of 0 in y
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify 0 into 0
2.270 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
2.271 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.271 * [backup-simplify]: Simplify (+ 0 0) into 0
2.271 * [backup-simplify]: Simplify (* 1 1) into 1
2.271 * [backup-simplify]: Simplify (+ 0 1) into 1
2.271 * [taylor]: Taking taylor expansion of 1 in x
2.271 * [backup-simplify]: Simplify 1 into 1
2.271 * [taylor]: Taking taylor expansion of 1 in y
2.271 * [backup-simplify]: Simplify 1 into 1
2.272 * [backup-simplify]: Simplify 1 into 1
2.272 * [taylor]: Taking taylor expansion of 0 in y
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify (* 1 1) into 1
2.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.272 * [backup-simplify]: Simplify (+ 1 0) into 1
2.272 * [taylor]: Taking taylor expansion of 1 in y
2.272 * [backup-simplify]: Simplify 1 into 1
2.272 * [backup-simplify]: Simplify 1 into 1
2.272 * [backup-simplify]: Simplify 0 into 0
2.272 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify (* 1 1) into 1
2.273 * [backup-simplify]: Simplify 1 into 1
2.273 * [backup-simplify]: Simplify (+ (* 1 (pow (* y (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* x 1)) 2)) (* 1 (pow (* 1 (* 1 z)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
2.274 * [backup-simplify]: Simplify (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))
2.274 * [approximate]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (z x y) around 0
2.274 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y
2.274 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.274 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.274 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.274 * [taylor]: Taking taylor expansion of x in y
2.274 * [backup-simplify]: Simplify x into x
2.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.274 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.274 * [taylor]: Taking taylor expansion of x in y
2.274 * [backup-simplify]: Simplify x into x
2.274 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.274 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.274 * [taylor]: Taking taylor expansion of y in y
2.274 * [backup-simplify]: Simplify 0 into 0
2.274 * [backup-simplify]: Simplify 1 into 1
2.275 * [backup-simplify]: Simplify (* 1 1) into 1
2.275 * [backup-simplify]: Simplify (/ 1 1) into 1
2.275 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.275 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.275 * [taylor]: Taking taylor expansion of z in y
2.275 * [backup-simplify]: Simplify z into z
2.275 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.275 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.275 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x
2.275 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.275 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.275 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.275 * [taylor]: Taking taylor expansion of x in x
2.275 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify 1 into 1
2.275 * [backup-simplify]: Simplify (/ 1 1) into 1
2.275 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.275 * [taylor]: Taking taylor expansion of x in x
2.275 * [backup-simplify]: Simplify 0 into 0
2.275 * [backup-simplify]: Simplify 1 into 1
2.276 * [backup-simplify]: Simplify (/ 1 1) into 1
2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.276 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.276 * [taylor]: Taking taylor expansion of y in x
2.276 * [backup-simplify]: Simplify y into y
2.276 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.276 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.276 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.276 * [taylor]: Taking taylor expansion of z in x
2.276 * [backup-simplify]: Simplify z into z
2.276 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.276 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.276 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.276 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.276 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.276 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.276 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.276 * [taylor]: Taking taylor expansion of x in z
2.276 * [backup-simplify]: Simplify x into x
2.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.276 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.276 * [taylor]: Taking taylor expansion of x in z
2.276 * [backup-simplify]: Simplify x into x
2.276 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.276 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.277 * [taylor]: Taking taylor expansion of y in z
2.277 * [backup-simplify]: Simplify y into y
2.277 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.277 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.277 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.277 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.277 * [taylor]: Taking taylor expansion of z in z
2.277 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 1 into 1
2.277 * [backup-simplify]: Simplify (* 1 1) into 1
2.277 * [backup-simplify]: Simplify (/ 1 1) into 1
2.277 * [taylor]: Taking taylor expansion of (+ (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.277 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
2.277 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.277 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.277 * [taylor]: Taking taylor expansion of x in z
2.277 * [backup-simplify]: Simplify x into x
2.277 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.277 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.277 * [taylor]: Taking taylor expansion of x in z
2.278 * [backup-simplify]: Simplify x into x
2.278 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.278 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.278 * [taylor]: Taking taylor expansion of y in z
2.278 * [backup-simplify]: Simplify y into y
2.278 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.278 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.278 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.278 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.278 * [taylor]: Taking taylor expansion of z in z
2.278 * [backup-simplify]: Simplify 0 into 0
2.278 * [backup-simplify]: Simplify 1 into 1
2.278 * [backup-simplify]: Simplify (* 1 1) into 1
2.278 * [backup-simplify]: Simplify (/ 1 1) into 1
2.279 * [backup-simplify]: Simplify (+ 0 1) into 1
2.279 * [taylor]: Taking taylor expansion of 1 in x
2.279 * [backup-simplify]: Simplify 1 into 1
2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.280 * [backup-simplify]: Simplify (+ 0 0) into 0
2.280 * [taylor]: Taking taylor expansion of 0 in x
2.280 * [backup-simplify]: Simplify 0 into 0
2.280 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
2.280 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.281 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.281 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.281 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.281 * [taylor]: Taking taylor expansion of x in x
2.281 * [backup-simplify]: Simplify 0 into 0
2.281 * [backup-simplify]: Simplify 1 into 1
2.282 * [backup-simplify]: Simplify (* 1 1) into 1
2.282 * [backup-simplify]: Simplify (/ 1 1) into 1
2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.282 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.282 * [taylor]: Taking taylor expansion of y in x
2.282 * [backup-simplify]: Simplify y into y
2.282 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.282 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.282 * [backup-simplify]: Simplify (+ 1 0) into 1
2.282 * [taylor]: Taking taylor expansion of 1 in y
2.282 * [backup-simplify]: Simplify 1 into 1
2.282 * [taylor]: Taking taylor expansion of 1 in y
2.282 * [backup-simplify]: Simplify 1 into 1
2.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.283 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
2.283 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.283 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.283 * [backup-simplify]: Simplify (+ 0 0) into 0
2.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.284 * [backup-simplify]: Simplify (+ 0 0) into 0
2.284 * [taylor]: Taking taylor expansion of 0 in x
2.284 * [backup-simplify]: Simplify 0 into 0
2.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.285 * [backup-simplify]: Simplify (+ 0 0) into 0
2.286 * [taylor]: Taking taylor expansion of 0 in y
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [taylor]: Taking taylor expansion of 0 in y
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [taylor]: Taking taylor expansion of 0 in y
2.286 * [backup-simplify]: Simplify 0 into 0
2.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.286 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
2.286 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.287 * [backup-simplify]: Simplify (+ 0 0) into 0
2.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.288 * [backup-simplify]: Simplify (+ 0 0) into 0
2.288 * [taylor]: Taking taylor expansion of 0 in x
2.288 * [backup-simplify]: Simplify 0 into 0
2.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.289 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.290 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.290 * [taylor]: Taking taylor expansion of y in y
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify (* 1 1) into 1
2.290 * [backup-simplify]: Simplify (/ 1 1) into 1
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [taylor]: Taking taylor expansion of 0 in y
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [taylor]: Taking taylor expansion of 0 in y
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.290 * [backup-simplify]: Simplify 1 into 1
2.291 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 z)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 x)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
2.291 * [backup-simplify]: Simplify (+ (* (/ 1 (- z)) (/ 1 (- z))) (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2)))
2.291 * [approximate]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in (z x y) around 0
2.291 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in y
2.291 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.291 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.291 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.291 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.291 * [taylor]: Taking taylor expansion of -1 in y
2.291 * [backup-simplify]: Simplify -1 into -1
2.291 * [taylor]: Taking taylor expansion of x in y
2.291 * [backup-simplify]: Simplify x into x
2.292 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.292 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.292 * [taylor]: Taking taylor expansion of -1 in y
2.292 * [backup-simplify]: Simplify -1 into -1
2.292 * [taylor]: Taking taylor expansion of x in y
2.292 * [backup-simplify]: Simplify x into x
2.292 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.292 * [taylor]: Taking taylor expansion of y in y
2.292 * [backup-simplify]: Simplify 0 into 0
2.292 * [backup-simplify]: Simplify 1 into 1
2.292 * [backup-simplify]: Simplify (* 1 1) into 1
2.292 * [backup-simplify]: Simplify (/ 1 1) into 1
2.292 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.292 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.292 * [taylor]: Taking taylor expansion of z in y
2.292 * [backup-simplify]: Simplify z into z
2.292 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.292 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.293 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in x
2.293 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.293 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.293 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.293 * [taylor]: Taking taylor expansion of -1 in x
2.293 * [backup-simplify]: Simplify -1 into -1
2.293 * [taylor]: Taking taylor expansion of x in x
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify 1 into 1
2.293 * [backup-simplify]: Simplify (/ -1 1) into -1
2.293 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.293 * [taylor]: Taking taylor expansion of -1 in x
2.293 * [backup-simplify]: Simplify -1 into -1
2.293 * [taylor]: Taking taylor expansion of x in x
2.293 * [backup-simplify]: Simplify 0 into 0
2.293 * [backup-simplify]: Simplify 1 into 1
2.293 * [backup-simplify]: Simplify (/ -1 1) into -1
2.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.293 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.293 * [taylor]: Taking taylor expansion of y in x
2.293 * [backup-simplify]: Simplify y into y
2.294 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.294 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.294 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.294 * [taylor]: Taking taylor expansion of z in x
2.294 * [backup-simplify]: Simplify z into z
2.294 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.294 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.294 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.294 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.294 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.294 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.294 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.294 * [taylor]: Taking taylor expansion of -1 in z
2.294 * [backup-simplify]: Simplify -1 into -1
2.294 * [taylor]: Taking taylor expansion of x in z
2.294 * [backup-simplify]: Simplify x into x
2.294 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.294 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.294 * [taylor]: Taking taylor expansion of -1 in z
2.294 * [backup-simplify]: Simplify -1 into -1
2.294 * [taylor]: Taking taylor expansion of x in z
2.294 * [backup-simplify]: Simplify x into x
2.294 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.294 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.294 * [taylor]: Taking taylor expansion of y in z
2.294 * [backup-simplify]: Simplify y into y
2.294 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.295 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.295 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.295 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.295 * [taylor]: Taking taylor expansion of z in z
2.295 * [backup-simplify]: Simplify 0 into 0
2.295 * [backup-simplify]: Simplify 1 into 1
2.295 * [backup-simplify]: Simplify (* 1 1) into 1
2.295 * [backup-simplify]: Simplify (/ 1 1) into 1
2.295 * [taylor]: Taking taylor expansion of (+ (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) (/ 1 (pow z 2))) in z
2.295 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
2.295 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.295 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
2.295 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.295 * [taylor]: Taking taylor expansion of -1 in z
2.295 * [backup-simplify]: Simplify -1 into -1
2.295 * [taylor]: Taking taylor expansion of x in z
2.295 * [backup-simplify]: Simplify x into x
2.296 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.296 * [taylor]: Taking taylor expansion of (/ -1 x) in z
2.296 * [taylor]: Taking taylor expansion of -1 in z
2.296 * [backup-simplify]: Simplify -1 into -1
2.296 * [taylor]: Taking taylor expansion of x in z
2.296 * [backup-simplify]: Simplify x into x
2.296 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.296 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.296 * [taylor]: Taking taylor expansion of y in z
2.296 * [backup-simplify]: Simplify y into y
2.296 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.296 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.296 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.296 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.296 * [taylor]: Taking taylor expansion of z in z
2.296 * [backup-simplify]: Simplify 0 into 0
2.296 * [backup-simplify]: Simplify 1 into 1
2.296 * [backup-simplify]: Simplify (* 1 1) into 1
2.296 * [backup-simplify]: Simplify (/ 1 1) into 1
2.297 * [backup-simplify]: Simplify (+ 0 1) into 1
2.297 * [taylor]: Taking taylor expansion of 1 in x
2.297 * [backup-simplify]: Simplify 1 into 1
2.297 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.298 * [backup-simplify]: Simplify (+ 0 0) into 0
2.298 * [taylor]: Taking taylor expansion of 0 in x
2.298 * [backup-simplify]: Simplify 0 into 0
2.298 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
2.298 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (+ (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 0) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.300 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.300 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.300 * [taylor]: Taking taylor expansion of x in x
2.300 * [backup-simplify]: Simplify 0 into 0
2.300 * [backup-simplify]: Simplify 1 into 1
2.300 * [backup-simplify]: Simplify (* 1 1) into 1
2.300 * [backup-simplify]: Simplify (/ 1 1) into 1
2.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.300 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.300 * [taylor]: Taking taylor expansion of y in x
2.300 * [backup-simplify]: Simplify y into y
2.300 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.301 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.301 * [backup-simplify]: Simplify (+ 1 0) into 1
2.301 * [taylor]: Taking taylor expansion of 1 in y
2.301 * [backup-simplify]: Simplify 1 into 1
2.301 * [taylor]: Taking taylor expansion of 1 in y
2.301 * [backup-simplify]: Simplify 1 into 1
2.301 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.301 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
2.301 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
2.301 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.302 * [backup-simplify]: Simplify (+ 0 0) into 0
2.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.303 * [backup-simplify]: Simplify (+ 0 0) into 0
2.303 * [taylor]: Taking taylor expansion of 0 in x
2.303 * [backup-simplify]: Simplify 0 into 0
2.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.304 * [backup-simplify]: Simplify (+ 0 0) into 0
2.304 * [taylor]: Taking taylor expansion of 0 in y
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [taylor]: Taking taylor expansion of 0 in y
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [taylor]: Taking taylor expansion of 0 in y
2.304 * [backup-simplify]: Simplify 0 into 0
2.304 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.304 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.305 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
2.305 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.306 * [backup-simplify]: Simplify (+ 0 0) into 0
2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.307 * [backup-simplify]: Simplify (+ 0 0) into 0
2.307 * [taylor]: Taking taylor expansion of 0 in x
2.307 * [backup-simplify]: Simplify 0 into 0
2.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.309 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.309 * [taylor]: Taking taylor expansion of y in y
2.309 * [backup-simplify]: Simplify 0 into 0
2.309 * [backup-simplify]: Simplify 1 into 1
2.310 * [backup-simplify]: Simplify (* 1 1) into 1
2.310 * [backup-simplify]: Simplify (/ 1 1) into 1
2.310 * [backup-simplify]: Simplify 1 into 1
2.310 * [taylor]: Taking taylor expansion of 0 in y
2.310 * [backup-simplify]: Simplify 0 into 0
2.310 * [taylor]: Taking taylor expansion of 0 in y
2.311 * [backup-simplify]: Simplify 0 into 0
2.311 * [backup-simplify]: Simplify 1 into 1
2.311 * [backup-simplify]: Simplify 1 into 1
2.312 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- z))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- x))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
2.312 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2)
2.312 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2))
2.312 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0
2.312 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
2.312 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.312 * [taylor]: Taking taylor expansion of (* x x) in y
2.312 * [taylor]: Taking taylor expansion of x in y
2.312 * [backup-simplify]: Simplify x into x
2.312 * [taylor]: Taking taylor expansion of x in y
2.312 * [backup-simplify]: Simplify x into x
2.312 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.312 * [taylor]: Taking taylor expansion of y in y
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify 1 into 1
2.312 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.312 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.312 * [taylor]: Taking taylor expansion of (* x x) in x
2.312 * [taylor]: Taking taylor expansion of x in x
2.312 * [backup-simplify]: Simplify 0 into 0
2.312 * [backup-simplify]: Simplify 1 into 1
2.312 * [taylor]: Taking taylor expansion of x in x
2.312 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.313 * [taylor]: Taking taylor expansion of y in x
2.313 * [backup-simplify]: Simplify y into y
2.313 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
2.313 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
2.313 * [taylor]: Taking taylor expansion of (* x x) in x
2.313 * [taylor]: Taking taylor expansion of x in x
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [taylor]: Taking taylor expansion of x in x
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.313 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.313 * [taylor]: Taking taylor expansion of y in x
2.313 * [backup-simplify]: Simplify y into y
2.313 * [backup-simplify]: Simplify (* 0 0) into 0
2.313 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.313 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.313 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.313 * [taylor]: Taking taylor expansion of y in y
2.313 * [backup-simplify]: Simplify 0 into 0
2.313 * [backup-simplify]: Simplify 1 into 1
2.314 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.314 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.314 * [backup-simplify]: Simplify (+ 0 0) into 0
2.314 * [taylor]: Taking taylor expansion of 0 in y
2.314 * [backup-simplify]: Simplify 0 into 0
2.314 * [backup-simplify]: Simplify 0 into 0
2.315 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
2.315 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.315 * [backup-simplify]: Simplify (+ 1 0) into 1
2.315 * [taylor]: Taking taylor expansion of 1 in y
2.315 * [backup-simplify]: Simplify 1 into 1
2.315 * [backup-simplify]: Simplify 1 into 1
2.315 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify (* 1 1) into 1
2.316 * [backup-simplify]: Simplify 1 into 1
2.316 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
2.317 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.317 * [backup-simplify]: Simplify (+ 0 0) into 0
2.317 * [taylor]: Taking taylor expansion of 0 in y
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 0 into 0
2.317 * [backup-simplify]: Simplify 0 into 0
2.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.318 * [backup-simplify]: Simplify 0 into 0
2.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.319 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.319 * [backup-simplify]: Simplify (+ 0 0) into 0
2.319 * [taylor]: Taking taylor expansion of 0 in y
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.320 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))
2.320 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0
2.320 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
2.320 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.320 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
2.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.320 * [taylor]: Taking taylor expansion of x in y
2.320 * [backup-simplify]: Simplify x into x
2.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.320 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.320 * [taylor]: Taking taylor expansion of x in y
2.320 * [backup-simplify]: Simplify x into x
2.320 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.320 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.320 * [taylor]: Taking taylor expansion of y in y
2.320 * [backup-simplify]: Simplify 0 into 0
2.320 * [backup-simplify]: Simplify 1 into 1
2.320 * [backup-simplify]: Simplify (* 1 1) into 1
2.321 * [backup-simplify]: Simplify (/ 1 1) into 1
2.321 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.321 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.321 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.321 * [taylor]: Taking taylor expansion of x in x
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [backup-simplify]: Simplify (/ 1 1) into 1
2.321 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.321 * [taylor]: Taking taylor expansion of x in x
2.321 * [backup-simplify]: Simplify 0 into 0
2.321 * [backup-simplify]: Simplify 1 into 1
2.321 * [backup-simplify]: Simplify (/ 1 1) into 1
2.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.321 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.321 * [taylor]: Taking taylor expansion of y in x
2.321 * [backup-simplify]: Simplify y into y
2.321 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.322 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.322 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
2.322 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
2.322 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
2.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.322 * [taylor]: Taking taylor expansion of x in x
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (/ 1 1) into 1
2.322 * [taylor]: Taking taylor expansion of (/ 1 x) in x
2.322 * [taylor]: Taking taylor expansion of x in x
2.322 * [backup-simplify]: Simplify 0 into 0
2.322 * [backup-simplify]: Simplify 1 into 1
2.322 * [backup-simplify]: Simplify (/ 1 1) into 1
2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.322 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.322 * [taylor]: Taking taylor expansion of y in x
2.322 * [backup-simplify]: Simplify y into y
2.322 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.323 * [backup-simplify]: Simplify (* 1 1) into 1
2.323 * [backup-simplify]: Simplify (+ 1 0) into 1
2.323 * [taylor]: Taking taylor expansion of 1 in y
2.323 * [backup-simplify]: Simplify 1 into 1
2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.325 * [backup-simplify]: Simplify (+ 0 0) into 0
2.325 * [taylor]: Taking taylor expansion of 0 in y
2.325 * [backup-simplify]: Simplify 0 into 0
2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.326 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.326 * [taylor]: Taking taylor expansion of y in y
2.326 * [backup-simplify]: Simplify 0 into 0
2.326 * [backup-simplify]: Simplify 1 into 1
2.327 * [backup-simplify]: Simplify (* 1 1) into 1
2.327 * [backup-simplify]: Simplify (/ 1 1) into 1
2.327 * [backup-simplify]: Simplify 1 into 1
2.327 * [backup-simplify]: Simplify 1 into 1
2.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.329 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.329 * [backup-simplify]: Simplify (+ 0 0) into 0
2.329 * [taylor]: Taking taylor expansion of 0 in y
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.330 * [backup-simplify]: Simplify 0 into 0
2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.332 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.332 * [backup-simplify]: Simplify (+ 0 0) into 0
2.333 * [taylor]: Taking taylor expansion of 0 in y
2.333 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.334 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify 0 into 0
2.334 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.334 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))
2.334 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0
2.334 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
2.334 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.334 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
2.334 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.334 * [taylor]: Taking taylor expansion of -1 in y
2.334 * [backup-simplify]: Simplify -1 into -1
2.334 * [taylor]: Taking taylor expansion of x in y
2.334 * [backup-simplify]: Simplify x into x
2.334 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.334 * [taylor]: Taking taylor expansion of (/ -1 x) in y
2.334 * [taylor]: Taking taylor expansion of -1 in y
2.334 * [backup-simplify]: Simplify -1 into -1
2.334 * [taylor]: Taking taylor expansion of x in y
2.334 * [backup-simplify]: Simplify x into x
2.334 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
2.334 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.334 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.335 * [taylor]: Taking taylor expansion of y in y
2.335 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify 1 into 1
2.335 * [backup-simplify]: Simplify (* 1 1) into 1
2.335 * [backup-simplify]: Simplify (/ 1 1) into 1
2.335 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.335 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.335 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.335 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.335 * [taylor]: Taking taylor expansion of -1 in x
2.335 * [backup-simplify]: Simplify -1 into -1
2.335 * [taylor]: Taking taylor expansion of x in x
2.335 * [backup-simplify]: Simplify 0 into 0
2.335 * [backup-simplify]: Simplify 1 into 1
2.336 * [backup-simplify]: Simplify (/ -1 1) into -1
2.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.336 * [taylor]: Taking taylor expansion of -1 in x
2.336 * [backup-simplify]: Simplify -1 into -1
2.336 * [taylor]: Taking taylor expansion of x in x
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 1 into 1
2.336 * [backup-simplify]: Simplify (/ -1 1) into -1
2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.336 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.336 * [taylor]: Taking taylor expansion of y in x
2.336 * [backup-simplify]: Simplify y into y
2.336 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.336 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.336 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
2.336 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
2.336 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
2.336 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.336 * [taylor]: Taking taylor expansion of -1 in x
2.336 * [backup-simplify]: Simplify -1 into -1
2.336 * [taylor]: Taking taylor expansion of x in x
2.336 * [backup-simplify]: Simplify 0 into 0
2.336 * [backup-simplify]: Simplify 1 into 1
2.337 * [backup-simplify]: Simplify (/ -1 1) into -1
2.337 * [taylor]: Taking taylor expansion of (/ -1 x) in x
2.337 * [taylor]: Taking taylor expansion of -1 in x
2.337 * [backup-simplify]: Simplify -1 into -1
2.337 * [taylor]: Taking taylor expansion of x in x
2.337 * [backup-simplify]: Simplify 0 into 0
2.337 * [backup-simplify]: Simplify 1 into 1
2.337 * [backup-simplify]: Simplify (/ -1 1) into -1
2.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.337 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.337 * [taylor]: Taking taylor expansion of y in x
2.337 * [backup-simplify]: Simplify y into y
2.337 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.337 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.337 * [backup-simplify]: Simplify (* -1 -1) into 1
2.338 * [backup-simplify]: Simplify (+ 1 0) into 1
2.338 * [taylor]: Taking taylor expansion of 1 in y
2.338 * [backup-simplify]: Simplify 1 into 1
2.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.339 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.339 * [backup-simplify]: Simplify (+ 0 0) into 0
2.339 * [taylor]: Taking taylor expansion of 0 in y
2.339 * [backup-simplify]: Simplify 0 into 0
2.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.341 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
2.341 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.341 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.341 * [taylor]: Taking taylor expansion of y in y
2.341 * [backup-simplify]: Simplify 0 into 0
2.341 * [backup-simplify]: Simplify 1 into 1
2.341 * [backup-simplify]: Simplify (* 1 1) into 1
2.342 * [backup-simplify]: Simplify (/ 1 1) into 1
2.342 * [backup-simplify]: Simplify 1 into 1
2.342 * [backup-simplify]: Simplify 1 into 1
2.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.344 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
2.344 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.344 * [backup-simplify]: Simplify (+ 0 0) into 0
2.344 * [taylor]: Taking taylor expansion of 0 in y
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.345 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify 0 into 0
2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.347 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
2.350 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.350 * [backup-simplify]: Simplify (+ 0 0) into 0
2.350 * [taylor]: Taking taylor expansion of 0 in y
2.350 * [backup-simplify]: Simplify 0 into 0
2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify 0 into 0
2.352 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.352 * * * [progress]: simplifying candidates
2.353 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* z z) (fma x x (* y y)))))
  (log1p (sqrt (+ (* z z) (fma x x (* y y)))))
  (log (sqrt (+ (* z z) (fma x x (* y y)))))
  (exp (sqrt (+ (* z z) (fma x x (* y y)))))
  (* (cbrt (sqrt (+ (* z z) (fma x x (* y y))))) (cbrt (sqrt (+ (* z z) (fma x x (* y y))))))
  (cbrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (* (* (sqrt (+ (* z z) (fma x x (* y y)))) (sqrt (+ (* z z) (fma x x (* y y))))) (sqrt (+ (* z z) (fma x x (* y y)))))
  (sqrt (* (cbrt (+ (* z z) (fma x x (* y y)))) (cbrt (+ (* z z) (fma x x (* y y))))))
  (sqrt (cbrt (+ (* z z) (fma x x (* y y)))))
  (sqrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (sqrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (sqrt 1)
  (sqrt (+ (* z z) (fma x x (* y y))))
  (sqrt (+ (pow (* z z) 3) (pow (fma x x (* y y)) 3)))
  (sqrt (+ (* (* z z) (* z z)) (- (* (fma x x (* y y)) (fma x x (* y y))) (* (* z z) (fma x x (* y y))))))
  (sqrt (- (* (* z z) (* z z)) (* (fma x x (* y y)) (fma x x (* y y)))))
  (sqrt (- (* z z) (fma x x (* y y))))
  (/ 1 2)
  (sqrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (sqrt (sqrt (+ (* z z) (fma x x (* y y)))))
  (expm1 (+ (* z z) (fma x x (* y y))))
  (log1p (+ (* z z) (fma x x (* y y))))
  (* (exp (* z z)) (exp (fma x x (* y y))))
  (log (+ (* z z) (fma x x (* y y))))
  (exp (+ (* z z) (fma x x (* y y))))
  (* (cbrt (+ (* z z) (fma x x (* y y)))) (cbrt (+ (* z z) (fma x x (* y y)))))
  (cbrt (+ (* z z) (fma x x (* y y))))
  (* (* (+ (* z z) (fma x x (* y y))) (+ (* z z) (fma x x (* y y)))) (+ (* z z) (fma x x (* y y))))
  (sqrt (+ (* z z) (fma x x (* y y))))
  (sqrt (+ (* z z) (fma x x (* y y))))
  (+ (pow (* z z) 3) (pow (fma x x (* y y)) 3))
  (+ (* (* z z) (* z z)) (- (* (fma x x (* y y)) (fma x x (* y y))) (* (* z z) (fma x x (* y y)))))
  (- (* (* z z) (* z z)) (* (fma x x (* y y)) (fma x x (* y y))))
  (- (* z z) (fma x x (* y y)))
  (+ (* z z) (* x x))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  y
  z
  (* -1 z)
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
2.354 * * [simplify]: Extracting # 0 : cost  0
2.354 * * [simplify]: Extracting # 1 : cost  0
2.354 * * [simplify]: Extracting # 2 : cost  0
2.354 * * [simplify]: Extracting # 3 : cost  0
2.354 * * [simplify]: Extracting # 4 : cost  0
2.354 * * [simplify]: Extracting # 5 : cost  0
2.354 * * [simplify]: iteration  0 :  66  enodes  (cost  675 )
2.372 * * [simplify]: Extracting # 0 : cost  0
2.372 * * [simplify]: Extracting # 1 : cost  0
2.372 * * [simplify]: Extracting # 2 : cost  0
2.373 * * [simplify]: Extracting # 3 : cost  0
2.373 * * [simplify]: Extracting # 4 : cost  0
2.373 * * [simplify]: iteration  1 :  139  enodes  (cost  576 )
2.421 * * [simplify]: Extracting # 0 : cost  0
2.422 * * [simplify]: Extracting # 1 : cost  0
2.422 * * [simplify]: Extracting # 2 : cost  0
2.422 * * [simplify]: Extracting # 3 : cost  0
2.423 * * [simplify]: Extracting # 4 : cost  0
2.423 * * [simplify]: iteration  2 :  437  enodes  (cost  523 )
2.847 * * [simplify]: Extracting # 0 : cost  0
2.851 * * [simplify]: Extracting # 1 : cost  0
2.854 * * [simplify]: Extracting # 2 : cost  0
2.858 * * [simplify]: Extracting # 3 : cost  0
2.862 * * [simplify]: Extracting # 4 : cost  0
2.863 * * [simplify]: iteration  3 :  1938  enodes  (cost  523 )
3.747 * * [simplify]: Extracting # 0 : cost  0
3.752 * * [simplify]: Extracting # 1 : cost  0
3.758 * * [simplify]: Extracting # 2 : cost  0
3.764 * * [simplify]: Extracting # 3 : cost  0
3.774 * * [simplify]: Extracting # 4 : cost  0
3.779 * * [simplify]: iteration done:  5000  enodes  (cost  523 )
3.779 * [simplify]: Simplified to:
  (expm1 (sqrt (fma z z (fma x x (* y y)))))
  (log1p (sqrt (fma z z (fma x x (* y y)))))
  (log (sqrt (fma z z (fma x x (* y y)))))
  (exp (sqrt (fma z z (fma x x (* y y)))))
  (* (cbrt (sqrt (fma z z (fma x x (* y y))))) (cbrt (sqrt (fma z z (fma x x (* y y))))))
  (cbrt (sqrt (fma z z (fma x x (* y y)))))
  (pow (sqrt (fma z z (fma x x (* y y)))) 3)
  (fabs (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  1
  (sqrt (fma z z (fma x x (* y y))))
  (hypot (pow (fma x x (* y y)) 3/2) (pow z 3))
  (sqrt (fma (fma x x (* y y)) (- (fma x x (* y y)) (* z z)) (pow z 4)))
  (sqrt (- (pow z 4) (* (fma x x (* y y)) (fma x x (* y y)))))
  (sqrt (- (* z z) (fma x x (* y y))))
  1/2
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma z z (fma x x (* y y)))))
  (expm1 (fma z z (fma x x (* y y))))
  (log1p (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (log (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))
  (cbrt (fma z z (fma x x (* y y))))
  (pow (fma z z (fma x x (* y y))) 3)
  (sqrt (fma z z (fma x x (* y y))))
  (sqrt (fma z z (fma x x (* y y))))
  (+ (pow z 6) (pow (fma x x (* y y)) 3))
  (fma (fma x x (* y y)) (- (fma x x (* y y)) (* z z)) (pow z 4))
  (- (pow z 4) (* (fma x x (* y y)) (fma x x (* y y))))
  (- (* z z) (fma x x (* y y)))
  (fma z z (pow x 2))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  y
  z
  (- z)
  (fma z z (fma x x (* y y)))
  (fma z z (fma x x (* y y)))
  (fma z z (fma x x (* y y)))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
3.780 * * * [progress]: adding candidates to table
3.955 * * [progress]: iteration 3 / 4
3.955 * * * [progress]: picking best candidate
3.964 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot z (sqrt (fma x x (* y y)))))>
3.964 * * * [progress]: localizing error
3.974 * * * [progress]: generating rewritten candidates
3.974 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2)
3.977 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
3.977 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1)
3.979 * * * [progress]: generating series expansions
3.979 * * * * [progress]: [ 1 / 3 ] generating series at (2 2)
3.979 * [backup-simplify]: Simplify (sqrt (fma x x (* y y))) into (sqrt (fma x x (pow y 2)))
3.979 * [approximate]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in (x y) around 0
3.979 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in y
3.979 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
3.979 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
3.980 * [taylor]: Taking taylor expansion of (* x x) in y
3.980 * [taylor]: Taking taylor expansion of x in y
3.980 * [backup-simplify]: Simplify x into x
3.980 * [taylor]: Taking taylor expansion of x in y
3.980 * [backup-simplify]: Simplify x into x
3.980 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.980 * [taylor]: Taking taylor expansion of y in y
3.980 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify 1 into 1
3.980 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.980 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.980 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.980 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.981 * [backup-simplify]: Simplify (+ 0 0) into 0
3.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.981 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x
3.981 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
3.981 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
3.981 * [taylor]: Taking taylor expansion of (* x x) in x
3.981 * [taylor]: Taking taylor expansion of x in x
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [taylor]: Taking taylor expansion of x in x
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.981 * [taylor]: Taking taylor expansion of y in x
3.981 * [backup-simplify]: Simplify y into y
3.982 * [backup-simplify]: Simplify (* 0 0) into 0
3.982 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.982 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.982 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.983 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.983 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.983 * [backup-simplify]: Simplify (+ 0 0) into 0
3.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.983 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x
3.983 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
3.984 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
3.984 * [taylor]: Taking taylor expansion of (* x x) in x
3.984 * [taylor]: Taking taylor expansion of x in x
3.984 * [backup-simplify]: Simplify 0 into 0
3.984 * [backup-simplify]: Simplify 1 into 1
3.984 * [taylor]: Taking taylor expansion of x in x
3.984 * [backup-simplify]: Simplify 0 into 0
3.984 * [backup-simplify]: Simplify 1 into 1
3.984 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.984 * [taylor]: Taking taylor expansion of y in x
3.984 * [backup-simplify]: Simplify y into y
3.984 * [backup-simplify]: Simplify (* 0 0) into 0
3.984 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.985 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.985 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.985 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.985 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.986 * [backup-simplify]: Simplify (+ 0 0) into 0
3.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.986 * [taylor]: Taking taylor expansion of y in y
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [taylor]: Taking taylor expansion of 0 in y
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 0 into 0
3.986 * [backup-simplify]: Simplify 1 into 1
3.987 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.987 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.988 * [backup-simplify]: Simplify (+ 1 0) into 1
3.989 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
3.989 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
3.989 * [taylor]: Taking taylor expansion of 1/2 in y
3.989 * [backup-simplify]: Simplify 1/2 into 1/2
3.989 * [taylor]: Taking taylor expansion of y in y
3.989 * [backup-simplify]: Simplify 0 into 0
3.989 * [backup-simplify]: Simplify 1 into 1
3.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 0 into 0
3.991 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
3.992 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.992 * [backup-simplify]: Simplify (+ 0 0) into 0
3.993 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
3.993 * [taylor]: Taking taylor expansion of 0 in y
3.993 * [backup-simplify]: Simplify 0 into 0
3.993 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify 0 into 0
3.994 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
3.994 * [backup-simplify]: Simplify (sqrt (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y)))) into (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))
3.994 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in (x y) around 0
3.994 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
3.994 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
3.995 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
3.995 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
3.995 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.995 * [taylor]: Taking taylor expansion of x in y
3.995 * [backup-simplify]: Simplify x into x
3.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.995 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.995 * [taylor]: Taking taylor expansion of x in y
3.995 * [backup-simplify]: Simplify x into x
3.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.995 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.995 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.995 * [taylor]: Taking taylor expansion of y in y
3.995 * [backup-simplify]: Simplify 0 into 0
3.995 * [backup-simplify]: Simplify 1 into 1
3.995 * [backup-simplify]: Simplify (* 1 1) into 1
3.996 * [backup-simplify]: Simplify (/ 1 1) into 1
3.996 * [backup-simplify]: Simplify (+ 0 1) into 1
3.997 * [backup-simplify]: Simplify (sqrt 1) into 1
3.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.998 * [backup-simplify]: Simplify (+ 0 0) into 0
3.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.999 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
3.999 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
3.999 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
3.999 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.999 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.999 * [taylor]: Taking taylor expansion of x in x
3.999 * [backup-simplify]: Simplify 0 into 0
3.999 * [backup-simplify]: Simplify 1 into 1
4.000 * [backup-simplify]: Simplify (/ 1 1) into 1
4.000 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.000 * [taylor]: Taking taylor expansion of x in x
4.000 * [backup-simplify]: Simplify 0 into 0
4.000 * [backup-simplify]: Simplify 1 into 1
4.000 * [backup-simplify]: Simplify (/ 1 1) into 1
4.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.000 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.000 * [taylor]: Taking taylor expansion of y in x
4.000 * [backup-simplify]: Simplify y into y
4.000 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.000 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.001 * [backup-simplify]: Simplify (* 1 1) into 1
4.001 * [backup-simplify]: Simplify (+ 1 0) into 1
4.001 * [backup-simplify]: Simplify (sqrt 1) into 1
4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.003 * [backup-simplify]: Simplify (+ 0 0) into 0
4.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.003 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
4.003 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.004 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.004 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.004 * [taylor]: Taking taylor expansion of x in x
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 1 into 1
4.004 * [backup-simplify]: Simplify (/ 1 1) into 1
4.004 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.004 * [taylor]: Taking taylor expansion of x in x
4.004 * [backup-simplify]: Simplify 0 into 0
4.004 * [backup-simplify]: Simplify 1 into 1
4.004 * [backup-simplify]: Simplify (/ 1 1) into 1
4.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.004 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.004 * [taylor]: Taking taylor expansion of y in x
4.004 * [backup-simplify]: Simplify y into y
4.004 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.004 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.005 * [backup-simplify]: Simplify (* 1 1) into 1
4.005 * [backup-simplify]: Simplify (+ 1 0) into 1
4.005 * [backup-simplify]: Simplify (sqrt 1) into 1
4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.006 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.007 * [backup-simplify]: Simplify (+ 0 0) into 0
4.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.007 * [taylor]: Taking taylor expansion of 1 in y
4.007 * [backup-simplify]: Simplify 1 into 1
4.007 * [taylor]: Taking taylor expansion of 0 in y
4.007 * [backup-simplify]: Simplify 0 into 0
4.007 * [backup-simplify]: Simplify 1 into 1
4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.009 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.010 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.010 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.010 * [taylor]: Taking taylor expansion of 1/2 in y
4.010 * [backup-simplify]: Simplify 1/2 into 1/2
4.010 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.010 * [taylor]: Taking taylor expansion of y in y
4.010 * [backup-simplify]: Simplify 0 into 0
4.010 * [backup-simplify]: Simplify 1 into 1
4.010 * [backup-simplify]: Simplify (* 1 1) into 1
4.010 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 0 into 0
4.011 * [backup-simplify]: Simplify 0 into 0
4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.013 * [backup-simplify]: Simplify (+ 0 0) into 0
4.014 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.014 * [taylor]: Taking taylor expansion of 0 in y
4.014 * [backup-simplify]: Simplify 0 into 0
4.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.015 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify 0 into 0
4.015 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
4.015 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))
4.015 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in (x y) around 0
4.015 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
4.015 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
4.016 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.016 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.016 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.016 * [taylor]: Taking taylor expansion of -1 in y
4.016 * [backup-simplify]: Simplify -1 into -1
4.016 * [taylor]: Taking taylor expansion of x in y
4.016 * [backup-simplify]: Simplify x into x
4.016 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.016 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.016 * [taylor]: Taking taylor expansion of -1 in y
4.016 * [backup-simplify]: Simplify -1 into -1
4.016 * [taylor]: Taking taylor expansion of x in y
4.016 * [backup-simplify]: Simplify x into x
4.016 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.016 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.016 * [taylor]: Taking taylor expansion of y in y
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 1 into 1
4.016 * [backup-simplify]: Simplify (* 1 1) into 1
4.016 * [backup-simplify]: Simplify (/ 1 1) into 1
4.017 * [backup-simplify]: Simplify (+ 0 1) into 1
4.017 * [backup-simplify]: Simplify (sqrt 1) into 1
4.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.018 * [backup-simplify]: Simplify (+ 0 0) into 0
4.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.018 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
4.018 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.019 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.019 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.019 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.019 * [taylor]: Taking taylor expansion of -1 in x
4.019 * [backup-simplify]: Simplify -1 into -1
4.019 * [taylor]: Taking taylor expansion of x in x
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.019 * [backup-simplify]: Simplify (/ -1 1) into -1
4.019 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.019 * [taylor]: Taking taylor expansion of -1 in x
4.019 * [backup-simplify]: Simplify -1 into -1
4.019 * [taylor]: Taking taylor expansion of x in x
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.019 * [backup-simplify]: Simplify (/ -1 1) into -1
4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.019 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.019 * [taylor]: Taking taylor expansion of y in x
4.019 * [backup-simplify]: Simplify y into y
4.019 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.020 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.020 * [backup-simplify]: Simplify (* -1 -1) into 1
4.020 * [backup-simplify]: Simplify (+ 1 0) into 1
4.020 * [backup-simplify]: Simplify (sqrt 1) into 1
4.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.022 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.022 * [backup-simplify]: Simplify (+ 0 0) into 0
4.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.022 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
4.022 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.023 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.023 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.023 * [taylor]: Taking taylor expansion of -1 in x
4.023 * [backup-simplify]: Simplify -1 into -1
4.023 * [taylor]: Taking taylor expansion of x in x
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 1 into 1
4.023 * [backup-simplify]: Simplify (/ -1 1) into -1
4.023 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.023 * [taylor]: Taking taylor expansion of -1 in x
4.023 * [backup-simplify]: Simplify -1 into -1
4.023 * [taylor]: Taking taylor expansion of x in x
4.023 * [backup-simplify]: Simplify 0 into 0
4.023 * [backup-simplify]: Simplify 1 into 1
4.024 * [backup-simplify]: Simplify (/ -1 1) into -1
4.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.024 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.024 * [taylor]: Taking taylor expansion of y in x
4.024 * [backup-simplify]: Simplify y into y
4.024 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.024 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.024 * [backup-simplify]: Simplify (* -1 -1) into 1
4.024 * [backup-simplify]: Simplify (+ 1 0) into 1
4.025 * [backup-simplify]: Simplify (sqrt 1) into 1
4.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.026 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.026 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.026 * [backup-simplify]: Simplify (+ 0 0) into 0
4.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.027 * [taylor]: Taking taylor expansion of 1 in y
4.027 * [backup-simplify]: Simplify 1 into 1
4.027 * [taylor]: Taking taylor expansion of 0 in y
4.027 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify 1 into 1
4.027 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.028 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.029 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
4.029 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
4.029 * [taylor]: Taking taylor expansion of 1/2 in y
4.030 * [backup-simplify]: Simplify 1/2 into 1/2
4.030 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.030 * [taylor]: Taking taylor expansion of y in y
4.030 * [backup-simplify]: Simplify 0 into 0
4.030 * [backup-simplify]: Simplify 1 into 1
4.030 * [backup-simplify]: Simplify (* 1 1) into 1
4.030 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.030 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.031 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.038 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.038 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.039 * [backup-simplify]: Simplify (+ 0 0) into 0
4.039 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
4.039 * [taylor]: Taking taylor expansion of 0 in y
4.039 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.040 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify 0 into 0
4.040 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
4.040 * * * * [progress]: [ 2 / 3 ] generating series at (2)
4.041 * [backup-simplify]: Simplify (hypot z (sqrt (fma x x (* y y)))) into (hypot z (sqrt (fma x x (pow y 2))))
4.041 * [approximate]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in (z x y) around 0
4.041 * [taylor]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in y
4.041 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))))
4.041 * [taylor]: Taking taylor expansion of (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))) in y
4.041 * [taylor]: Taking taylor expansion of (* z z) in y
4.041 * [taylor]: Taking taylor expansion of z in y
4.041 * [backup-simplify]: Simplify z into z
4.041 * [taylor]: Taking taylor expansion of z in y
4.041 * [backup-simplify]: Simplify z into z
4.041 * [taylor]: Taking taylor expansion of (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2)))) in y
4.041 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in y
4.041 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
4.041 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.041 * [taylor]: Taking taylor expansion of (* x x) in y
4.041 * [taylor]: Taking taylor expansion of x in y
4.041 * [backup-simplify]: Simplify x into x
4.041 * [taylor]: Taking taylor expansion of x in y
4.041 * [backup-simplify]: Simplify x into x
4.041 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.041 * [taylor]: Taking taylor expansion of y in y
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify 1 into 1
4.041 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.042 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.042 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.042 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.042 * [backup-simplify]: Simplify (+ 0 0) into 0
4.042 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.042 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in y
4.042 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
4.042 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.042 * [taylor]: Taking taylor expansion of (* x x) in y
4.042 * [taylor]: Taking taylor expansion of x in y
4.042 * [backup-simplify]: Simplify x into x
4.042 * [taylor]: Taking taylor expansion of x in y
4.042 * [backup-simplify]: Simplify x into x
4.042 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.042 * [taylor]: Taking taylor expansion of y in y
4.042 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify 1 into 1
4.042 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.042 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.043 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.043 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.043 * [backup-simplify]: Simplify (+ 0 0) into 0
4.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.043 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.043 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.043 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
4.043 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
4.043 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.043 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.044 * [backup-simplify]: Simplify (+ 0 0) into 0
4.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
4.044 * [taylor]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in x
4.044 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))))
4.044 * [taylor]: Taking taylor expansion of (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))) in x
4.044 * [taylor]: Taking taylor expansion of (* z z) in x
4.044 * [taylor]: Taking taylor expansion of z in x
4.044 * [backup-simplify]: Simplify z into z
4.044 * [taylor]: Taking taylor expansion of z in x
4.044 * [backup-simplify]: Simplify z into z
4.044 * [taylor]: Taking taylor expansion of (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2)))) in x
4.044 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x
4.044 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
4.044 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.044 * [taylor]: Taking taylor expansion of (* x x) in x
4.044 * [taylor]: Taking taylor expansion of x in x
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 1 into 1
4.044 * [taylor]: Taking taylor expansion of x in x
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify 1 into 1
4.044 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.044 * [taylor]: Taking taylor expansion of y in x
4.044 * [backup-simplify]: Simplify y into y
4.045 * [backup-simplify]: Simplify (* 0 0) into 0
4.045 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.045 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.045 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.045 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.046 * [backup-simplify]: Simplify (+ 0 0) into 0
4.046 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.046 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in x
4.046 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
4.046 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.046 * [taylor]: Taking taylor expansion of (* x x) in x
4.046 * [taylor]: Taking taylor expansion of x in x
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 1 into 1
4.046 * [taylor]: Taking taylor expansion of x in x
4.046 * [backup-simplify]: Simplify 0 into 0
4.046 * [backup-simplify]: Simplify 1 into 1
4.046 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.046 * [taylor]: Taking taylor expansion of y in x
4.046 * [backup-simplify]: Simplify y into y
4.046 * [backup-simplify]: Simplify (* 0 0) into 0
4.046 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.046 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.047 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.047 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.047 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.047 * [backup-simplify]: Simplify (+ 0 0) into 0
4.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.047 * [backup-simplify]: Simplify (* z z) into (pow z 2)
4.047 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.048 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
4.048 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
4.048 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
4.048 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.048 * [backup-simplify]: Simplify (+ 0 0) into 0
4.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
4.048 * [taylor]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in z
4.048 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))))
4.048 * [taylor]: Taking taylor expansion of (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))) in z
4.048 * [taylor]: Taking taylor expansion of (* z z) in z
4.048 * [taylor]: Taking taylor expansion of z in z
4.048 * [backup-simplify]: Simplify 0 into 0
4.048 * [backup-simplify]: Simplify 1 into 1
4.048 * [taylor]: Taking taylor expansion of z in z
4.048 * [backup-simplify]: Simplify 0 into 0
4.048 * [backup-simplify]: Simplify 1 into 1
4.048 * [taylor]: Taking taylor expansion of (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2)))) in z
4.048 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in z
4.049 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
4.049 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.049 * [taylor]: Taking taylor expansion of (* x x) in z
4.049 * [taylor]: Taking taylor expansion of x in z
4.049 * [backup-simplify]: Simplify x into x
4.049 * [taylor]: Taking taylor expansion of x in z
4.049 * [backup-simplify]: Simplify x into x
4.049 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.049 * [taylor]: Taking taylor expansion of y in z
4.049 * [backup-simplify]: Simplify y into y
4.049 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.049 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.049 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.049 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.049 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.049 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.049 * [backup-simplify]: Simplify (+ 0 0) into 0
4.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.050 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in z
4.050 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
4.050 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.050 * [taylor]: Taking taylor expansion of (* x x) in z
4.050 * [taylor]: Taking taylor expansion of x in z
4.050 * [backup-simplify]: Simplify x into x
4.050 * [taylor]: Taking taylor expansion of x in z
4.050 * [backup-simplify]: Simplify x into x
4.050 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.050 * [taylor]: Taking taylor expansion of y in z
4.050 * [backup-simplify]: Simplify y into y
4.050 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.050 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.050 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.050 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.050 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.050 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.051 * [backup-simplify]: Simplify (+ 0 0) into 0
4.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.051 * [backup-simplify]: Simplify (* 0 0) into 0
4.051 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
4.051 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
4.052 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.052 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.052 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.053 * [backup-simplify]: Simplify (+ 0 0) into 0
4.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.053 * [taylor]: Taking taylor expansion of (hypot z (sqrt (fma x x (pow y 2)))) in z
4.053 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))))
4.053 * [taylor]: Taking taylor expansion of (+ (* z z) (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2))))) in z
4.053 * [taylor]: Taking taylor expansion of (* z z) in z
4.053 * [taylor]: Taking taylor expansion of z in z
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify 1 into 1
4.053 * [taylor]: Taking taylor expansion of z in z
4.053 * [backup-simplify]: Simplify 0 into 0
4.053 * [backup-simplify]: Simplify 1 into 1
4.053 * [taylor]: Taking taylor expansion of (* (sqrt (fma x x (pow y 2))) (sqrt (fma x x (pow y 2)))) in z
4.053 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in z
4.053 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
4.053 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.053 * [taylor]: Taking taylor expansion of (* x x) in z
4.053 * [taylor]: Taking taylor expansion of x in z
4.053 * [backup-simplify]: Simplify x into x
4.053 * [taylor]: Taking taylor expansion of x in z
4.053 * [backup-simplify]: Simplify x into x
4.053 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.053 * [taylor]: Taking taylor expansion of y in z
4.053 * [backup-simplify]: Simplify y into y
4.053 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.053 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.053 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.054 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.054 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.054 * [backup-simplify]: Simplify (+ 0 0) into 0
4.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.054 * [taylor]: Taking taylor expansion of (sqrt (fma x x (pow y 2))) in z
4.054 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in z
4.054 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.054 * [taylor]: Taking taylor expansion of (* x x) in z
4.054 * [taylor]: Taking taylor expansion of x in z
4.054 * [backup-simplify]: Simplify x into x
4.054 * [taylor]: Taking taylor expansion of x in z
4.054 * [backup-simplify]: Simplify x into x
4.054 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.054 * [taylor]: Taking taylor expansion of y in z
4.054 * [backup-simplify]: Simplify y into y
4.054 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.054 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.055 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.055 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.055 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.055 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.055 * [backup-simplify]: Simplify (+ 0 0) into 0
4.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.056 * [backup-simplify]: Simplify (* 0 0) into 0
4.056 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
4.056 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
4.056 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.057 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.057 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.057 * [backup-simplify]: Simplify (+ 0 0) into 0
4.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.058 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
4.058 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.058 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.058 * [taylor]: Taking taylor expansion of x in x
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 1 into 1
4.058 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.058 * [taylor]: Taking taylor expansion of y in x
4.058 * [backup-simplify]: Simplify y into y
4.058 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.058 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.058 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
4.058 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.058 * [backup-simplify]: Simplify (+ 0 0) into 0
4.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
4.058 * [taylor]: Taking taylor expansion of y in y
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify 1 into 1
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [taylor]: Taking taylor expansion of 0 in x
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [taylor]: Taking taylor expansion of 0 in y
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [taylor]: Taking taylor expansion of 0 in y
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [backup-simplify]: Simplify 0 into 0
4.059 * [backup-simplify]: Simplify 1 into 1
4.059 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.059 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.060 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.060 * [backup-simplify]: Simplify (+ 0 0) into 0
4.060 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.061 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.061 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.061 * [backup-simplify]: Simplify (+ 0 0) into 0
4.062 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.062 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow x 2) (pow y 2)))))) into 0
4.063 * [backup-simplify]: Simplify (+ 1 0) into 1
4.063 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
4.063 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
4.063 * [taylor]: Taking taylor expansion of 1/2 in x
4.063 * [backup-simplify]: Simplify 1/2 into 1/2
4.063 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
4.063 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
4.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.063 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.063 * [taylor]: Taking taylor expansion of x in x
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify 1 into 1
4.063 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.063 * [taylor]: Taking taylor expansion of y in x
4.063 * [backup-simplify]: Simplify y into y
4.063 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.064 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.064 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.064 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
4.064 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.064 * [backup-simplify]: Simplify (+ 0 0) into 0
4.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
4.064 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
4.064 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.064 * [taylor]: Taking taylor expansion of 1/2 in y
4.064 * [backup-simplify]: Simplify 1/2 into 1/2
4.064 * [taylor]: Taking taylor expansion of y in y
4.064 * [backup-simplify]: Simplify 0 into 0
4.064 * [backup-simplify]: Simplify 1 into 1
4.065 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.065 * [backup-simplify]: Simplify 0 into 0
4.065 * [taylor]: Taking taylor expansion of 0 in y
4.065 * [backup-simplify]: Simplify 0 into 0
4.065 * [backup-simplify]: Simplify 0 into 0
4.066 * [backup-simplify]: Simplify (* 1 1) into 1
4.066 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.066 * [backup-simplify]: Simplify (+ 1 0) into 1
4.067 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
4.067 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
4.067 * [taylor]: Taking taylor expansion of 1/2 in y
4.067 * [backup-simplify]: Simplify 1/2 into 1/2
4.067 * [taylor]: Taking taylor expansion of y in y
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 1 into 1
4.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
4.067 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify 0 into 0
4.068 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
4.068 * [backup-simplify]: Simplify (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))))) into (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))
4.068 * [approximate]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in (z x y) around 0
4.068 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
4.068 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))))
4.068 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in y
4.068 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
4.068 * [taylor]: Taking taylor expansion of (/ 1 z) in y
4.068 * [taylor]: Taking taylor expansion of z in y
4.068 * [backup-simplify]: Simplify z into z
4.068 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
4.068 * [taylor]: Taking taylor expansion of (/ 1 z) in y
4.068 * [taylor]: Taking taylor expansion of z in y
4.068 * [backup-simplify]: Simplify z into z
4.068 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
4.068 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in y
4.068 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
4.068 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
4.068 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.068 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.068 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.069 * [taylor]: Taking taylor expansion of x in y
4.069 * [backup-simplify]: Simplify x into x
4.069 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.069 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.069 * [taylor]: Taking taylor expansion of x in y
4.069 * [backup-simplify]: Simplify x into x
4.069 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.069 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.069 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.069 * [taylor]: Taking taylor expansion of y in y
4.069 * [backup-simplify]: Simplify 0 into 0
4.069 * [backup-simplify]: Simplify 1 into 1
4.069 * [backup-simplify]: Simplify (* 1 1) into 1
4.069 * [backup-simplify]: Simplify (/ 1 1) into 1
4.069 * [backup-simplify]: Simplify (+ 0 1) into 1
4.070 * [backup-simplify]: Simplify (sqrt 1) into 1
4.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.071 * [backup-simplify]: Simplify (+ 0 0) into 0
4.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.071 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in y
4.071 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
4.071 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.071 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.071 * [taylor]: Taking taylor expansion of x in y
4.071 * [backup-simplify]: Simplify x into x
4.071 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.071 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.071 * [taylor]: Taking taylor expansion of x in y
4.071 * [backup-simplify]: Simplify x into x
4.072 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.072 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.072 * [taylor]: Taking taylor expansion of y in y
4.072 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify 1 into 1
4.072 * [backup-simplify]: Simplify (* 1 1) into 1
4.072 * [backup-simplify]: Simplify (/ 1 1) into 1
4.072 * [backup-simplify]: Simplify (+ 0 1) into 1
4.073 * [backup-simplify]: Simplify (sqrt 1) into 1
4.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.074 * [backup-simplify]: Simplify (+ 0 0) into 0
4.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.074 * [backup-simplify]: Simplify (* 1 1) into 1
4.074 * [backup-simplify]: Simplify (+ 0 1) into 1
4.075 * [backup-simplify]: Simplify (sqrt 1) into 1
4.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.075 * [backup-simplify]: Simplify (+ 0 0) into 0
4.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.076 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
4.076 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))))
4.076 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in x
4.076 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
4.076 * [taylor]: Taking taylor expansion of (/ 1 z) in x
4.076 * [taylor]: Taking taylor expansion of z in x
4.076 * [backup-simplify]: Simplify z into z
4.076 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
4.076 * [taylor]: Taking taylor expansion of (/ 1 z) in x
4.076 * [taylor]: Taking taylor expansion of z in x
4.076 * [backup-simplify]: Simplify z into z
4.076 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
4.076 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in x
4.076 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
4.076 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.076 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.076 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.076 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.076 * [taylor]: Taking taylor expansion of x in x
4.076 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify 1 into 1
4.077 * [backup-simplify]: Simplify (/ 1 1) into 1
4.077 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.077 * [taylor]: Taking taylor expansion of x in x
4.077 * [backup-simplify]: Simplify 0 into 0
4.077 * [backup-simplify]: Simplify 1 into 1
4.077 * [backup-simplify]: Simplify (/ 1 1) into 1
4.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.077 * [taylor]: Taking taylor expansion of y in x
4.077 * [backup-simplify]: Simplify y into y
4.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.077 * [backup-simplify]: Simplify (* 1 1) into 1
4.078 * [backup-simplify]: Simplify (+ 1 0) into 1
4.078 * [backup-simplify]: Simplify (sqrt 1) into 1
4.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.079 * [backup-simplify]: Simplify (+ 0 0) into 0
4.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.080 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in x
4.080 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.080 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.080 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.080 * [taylor]: Taking taylor expansion of x in x
4.080 * [backup-simplify]: Simplify 0 into 0
4.080 * [backup-simplify]: Simplify 1 into 1
4.080 * [backup-simplify]: Simplify (/ 1 1) into 1
4.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.080 * [taylor]: Taking taylor expansion of x in x
4.080 * [backup-simplify]: Simplify 0 into 0
4.080 * [backup-simplify]: Simplify 1 into 1
4.081 * [backup-simplify]: Simplify (/ 1 1) into 1
4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.081 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.081 * [taylor]: Taking taylor expansion of y in x
4.081 * [backup-simplify]: Simplify y into y
4.081 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.081 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.081 * [backup-simplify]: Simplify (* 1 1) into 1
4.081 * [backup-simplify]: Simplify (+ 1 0) into 1
4.081 * [backup-simplify]: Simplify (sqrt 1) into 1
4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.083 * [backup-simplify]: Simplify (+ 0 0) into 0
4.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.084 * [backup-simplify]: Simplify (* 1 1) into 1
4.084 * [backup-simplify]: Simplify (+ 0 1) into 1
4.084 * [backup-simplify]: Simplify (sqrt 1) into 1
4.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.085 * [backup-simplify]: Simplify (+ 0 0) into 0
4.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.085 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
4.085 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))))
4.085 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in z
4.085 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
4.085 * [taylor]: Taking taylor expansion of (/ 1 z) in z
4.085 * [taylor]: Taking taylor expansion of z in z
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify 1 into 1
4.086 * [backup-simplify]: Simplify (/ 1 1) into 1
4.086 * [taylor]: Taking taylor expansion of (/ 1 z) in z
4.086 * [taylor]: Taking taylor expansion of z in z
4.086 * [backup-simplify]: Simplify 0 into 0
4.086 * [backup-simplify]: Simplify 1 into 1
4.086 * [backup-simplify]: Simplify (/ 1 1) into 1
4.086 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
4.086 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
4.086 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
4.086 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.086 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
4.086 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.086 * [taylor]: Taking taylor expansion of x in z
4.086 * [backup-simplify]: Simplify x into x
4.086 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.086 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.086 * [taylor]: Taking taylor expansion of x in z
4.086 * [backup-simplify]: Simplify x into x
4.086 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.086 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.086 * [taylor]: Taking taylor expansion of y in z
4.086 * [backup-simplify]: Simplify y into y
4.086 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.086 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.087 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.087 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.087 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.087 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.087 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.088 * [backup-simplify]: Simplify (+ 0 0) into 0
4.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.088 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
4.088 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
4.088 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.088 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
4.088 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.088 * [taylor]: Taking taylor expansion of x in z
4.088 * [backup-simplify]: Simplify x into x
4.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.088 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.088 * [taylor]: Taking taylor expansion of x in z
4.088 * [backup-simplify]: Simplify x into x
4.088 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.088 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.088 * [taylor]: Taking taylor expansion of y in z
4.088 * [backup-simplify]: Simplify y into y
4.088 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.088 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.088 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.089 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.089 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.089 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.089 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.089 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.089 * [backup-simplify]: Simplify (+ 0 0) into 0
4.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.090 * [backup-simplify]: Simplify (* 1 1) into 1
4.090 * [backup-simplify]: Simplify (+ 1 0) into 1
4.090 * [backup-simplify]: Simplify (sqrt 1) into 1
4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.092 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.092 * [backup-simplify]: Simplify (+ 0 0) into 0
4.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.092 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
4.092 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))))
4.092 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))))) in z
4.092 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
4.092 * [taylor]: Taking taylor expansion of (/ 1 z) in z
4.092 * [taylor]: Taking taylor expansion of z in z
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify (/ 1 1) into 1
4.093 * [taylor]: Taking taylor expansion of (/ 1 z) in z
4.093 * [taylor]: Taking taylor expansion of z in z
4.093 * [backup-simplify]: Simplify 0 into 0
4.093 * [backup-simplify]: Simplify 1 into 1
4.093 * [backup-simplify]: Simplify (/ 1 1) into 1
4.093 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))))) in z
4.093 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
4.093 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
4.093 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.093 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
4.093 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.093 * [taylor]: Taking taylor expansion of x in z
4.093 * [backup-simplify]: Simplify x into x
4.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.093 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.093 * [taylor]: Taking taylor expansion of x in z
4.093 * [backup-simplify]: Simplify x into x
4.093 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.093 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.093 * [taylor]: Taking taylor expansion of y in z
4.093 * [backup-simplify]: Simplify y into y
4.094 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.094 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.094 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.094 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.094 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.094 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.094 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.095 * [backup-simplify]: Simplify (+ 0 0) into 0
4.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.095 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))) in z
4.095 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in z
4.095 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.095 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
4.095 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.095 * [taylor]: Taking taylor expansion of x in z
4.095 * [backup-simplify]: Simplify x into x
4.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.095 * [taylor]: Taking taylor expansion of (/ 1 x) in z
4.095 * [taylor]: Taking taylor expansion of x in z
4.095 * [backup-simplify]: Simplify x into x
4.095 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.095 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.095 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.095 * [taylor]: Taking taylor expansion of y in z
4.095 * [backup-simplify]: Simplify y into y
4.095 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.095 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.096 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
4.096 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.096 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
4.096 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
4.096 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.097 * [backup-simplify]: Simplify (+ 0 0) into 0
4.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.097 * [backup-simplify]: Simplify (* 1 1) into 1
4.097 * [backup-simplify]: Simplify (+ 1 0) into 1
4.098 * [backup-simplify]: Simplify (sqrt 1) into 1
4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.099 * [backup-simplify]: Simplify (+ 0 0) into 0
4.099 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.100 * [taylor]: Taking taylor expansion of 1 in x
4.100 * [backup-simplify]: Simplify 1 into 1
4.100 * [taylor]: Taking taylor expansion of 0 in x
4.100 * [backup-simplify]: Simplify 0 into 0
4.100 * [taylor]: Taking taylor expansion of 1 in y
4.100 * [backup-simplify]: Simplify 1 into 1
4.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.102 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.102 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.103 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.103 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.103 * [taylor]: Taking taylor expansion of 1/2 in x
4.103 * [backup-simplify]: Simplify 1/2 into 1/2
4.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.103 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.103 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.103 * [taylor]: Taking taylor expansion of x in x
4.103 * [backup-simplify]: Simplify 0 into 0
4.103 * [backup-simplify]: Simplify 1 into 1
4.103 * [backup-simplify]: Simplify (* 1 1) into 1
4.103 * [backup-simplify]: Simplify (/ 1 1) into 1
4.103 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.103 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.103 * [taylor]: Taking taylor expansion of y in x
4.103 * [backup-simplify]: Simplify y into y
4.103 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.103 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.105 * [backup-simplify]: Simplify (+ 0 0) into 0
4.105 * [backup-simplify]: Simplify (+ 1 0) into 1
4.105 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.105 * [taylor]: Taking taylor expansion of 0 in y
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [taylor]: Taking taylor expansion of 0 in y
4.105 * [backup-simplify]: Simplify 0 into 0
4.105 * [taylor]: Taking taylor expansion of 0 in y
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 1 into 1
4.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.108 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.108 * [backup-simplify]: Simplify (+ 0 0) into 0
4.108 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
4.108 * [taylor]: Taking taylor expansion of 0 in x
4.108 * [backup-simplify]: Simplify 0 into 0
4.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.110 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.110 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
4.110 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
4.110 * [taylor]: Taking taylor expansion of 1/2 in y
4.110 * [backup-simplify]: Simplify 1/2 into 1/2
4.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.110 * [taylor]: Taking taylor expansion of y in y
4.110 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify 1 into 1
4.111 * [backup-simplify]: Simplify (* 1 1) into 1
4.111 * [backup-simplify]: Simplify (/ 1 1) into 1
4.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.112 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [taylor]: Taking taylor expansion of 0 in y
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [taylor]: Taking taylor expansion of 0 in y
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify 0 into 0
4.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.115 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.116 * [backup-simplify]: Simplify (+ 0 0) into 0
4.116 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.117 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
4.117 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.118 * [backup-simplify]: Simplify (+ 0 0) into 0
4.118 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.119 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) into 0
4.119 * [backup-simplify]: Simplify (+ 0 0) into 0
4.120 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
4.120 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
4.120 * [taylor]: Taking taylor expansion of -1/2 in x
4.120 * [backup-simplify]: Simplify -1/2 into -1/2
4.120 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
4.120 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
4.120 * [taylor]: Taking taylor expansion of 1/2 in x
4.120 * [backup-simplify]: Simplify 1/2 into 1/2
4.120 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
4.120 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
4.120 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.120 * [taylor]: Taking taylor expansion of x in x
4.120 * [backup-simplify]: Simplify 0 into 0
4.120 * [backup-simplify]: Simplify 1 into 1
4.120 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.120 * [taylor]: Taking taylor expansion of y in x
4.120 * [backup-simplify]: Simplify y into y
4.121 * [backup-simplify]: Simplify (* 1 1) into 1
4.121 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.121 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
4.121 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.121 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
4.121 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
4.121 * [taylor]: Taking taylor expansion of 1/4 in x
4.121 * [backup-simplify]: Simplify 1/4 into 1/4
4.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
4.121 * [taylor]: Taking taylor expansion of (pow x 4) in x
4.121 * [taylor]: Taking taylor expansion of x in x
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 1 into 1
4.121 * [backup-simplify]: Simplify (* 1 1) into 1
4.122 * [backup-simplify]: Simplify (* 1 1) into 1
4.122 * [backup-simplify]: Simplify (/ 1 1) into 1
4.122 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
4.122 * [taylor]: Taking taylor expansion of 1/4 in x
4.122 * [backup-simplify]: Simplify 1/4 into 1/4
4.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
4.122 * [taylor]: Taking taylor expansion of (pow y 4) in x
4.122 * [taylor]: Taking taylor expansion of y in x
4.122 * [backup-simplify]: Simplify y into y
4.122 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.122 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
4.122 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
4.122 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
4.123 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
4.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.129 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.129 * [backup-simplify]: Simplify (+ 0 0) into 0
4.129 * [backup-simplify]: Simplify (+ 0 0) into 0
4.129 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
4.130 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
4.130 * [backup-simplify]: Simplify (+ 0 0) into 0
4.130 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
4.131 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
4.131 * [backup-simplify]: Simplify (+ 0 0) into 0
4.131 * [backup-simplify]: Simplify (+ 0 0) into 0
4.131 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
4.131 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
4.132 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
4.136 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
4.136 * [taylor]: Taking taylor expansion of 0 in y
4.136 * [backup-simplify]: Simplify 0 into 0
4.136 * [taylor]: Taking taylor expansion of 0 in y
4.136 * [backup-simplify]: Simplify 0 into 0
4.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.137 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.138 * [backup-simplify]: Simplify (+ 0 0) into 0
4.138 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
4.138 * [taylor]: Taking taylor expansion of 0 in y
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [taylor]: Taking taylor expansion of 0 in y
4.138 * [backup-simplify]: Simplify 0 into 0
4.138 * [taylor]: Taking taylor expansion of 0 in y
4.138 * [backup-simplify]: Simplify 0 into 0
4.139 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.140 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.140 * [backup-simplify]: Simplify 0 into 0
4.140 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
4.140 * [backup-simplify]: Simplify (hypot (/ 1 (- z)) (sqrt (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))))) into (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))
4.140 * [approximate]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in (z x y) around 0
4.140 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
4.140 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))))
4.141 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in y
4.141 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
4.141 * [taylor]: Taking taylor expansion of (/ -1 z) in y
4.141 * [taylor]: Taking taylor expansion of -1 in y
4.141 * [backup-simplify]: Simplify -1 into -1
4.141 * [taylor]: Taking taylor expansion of z in y
4.141 * [backup-simplify]: Simplify z into z
4.141 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
4.141 * [taylor]: Taking taylor expansion of (/ -1 z) in y
4.141 * [taylor]: Taking taylor expansion of -1 in y
4.141 * [backup-simplify]: Simplify -1 into -1
4.141 * [taylor]: Taking taylor expansion of z in y
4.141 * [backup-simplify]: Simplify z into z
4.141 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
4.141 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in y
4.141 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
4.141 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
4.141 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.141 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.141 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.141 * [taylor]: Taking taylor expansion of -1 in y
4.141 * [backup-simplify]: Simplify -1 into -1
4.141 * [taylor]: Taking taylor expansion of x in y
4.141 * [backup-simplify]: Simplify x into x
4.141 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.141 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.141 * [taylor]: Taking taylor expansion of -1 in y
4.141 * [backup-simplify]: Simplify -1 into -1
4.141 * [taylor]: Taking taylor expansion of x in y
4.141 * [backup-simplify]: Simplify x into x
4.141 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.141 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.141 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.141 * [taylor]: Taking taylor expansion of y in y
4.141 * [backup-simplify]: Simplify 0 into 0
4.141 * [backup-simplify]: Simplify 1 into 1
4.142 * [backup-simplify]: Simplify (* 1 1) into 1
4.142 * [backup-simplify]: Simplify (/ 1 1) into 1
4.142 * [backup-simplify]: Simplify (+ 0 1) into 1
4.142 * [backup-simplify]: Simplify (sqrt 1) into 1
4.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.143 * [backup-simplify]: Simplify (+ 0 0) into 0
4.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.144 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in y
4.144 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
4.144 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.144 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.144 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.144 * [taylor]: Taking taylor expansion of -1 in y
4.144 * [backup-simplify]: Simplify -1 into -1
4.144 * [taylor]: Taking taylor expansion of x in y
4.144 * [backup-simplify]: Simplify x into x
4.144 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.144 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.144 * [taylor]: Taking taylor expansion of -1 in y
4.144 * [backup-simplify]: Simplify -1 into -1
4.144 * [taylor]: Taking taylor expansion of x in y
4.144 * [backup-simplify]: Simplify x into x
4.144 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.144 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.144 * [taylor]: Taking taylor expansion of y in y
4.144 * [backup-simplify]: Simplify 0 into 0
4.144 * [backup-simplify]: Simplify 1 into 1
4.144 * [backup-simplify]: Simplify (* 1 1) into 1
4.145 * [backup-simplify]: Simplify (/ 1 1) into 1
4.145 * [backup-simplify]: Simplify (+ 0 1) into 1
4.145 * [backup-simplify]: Simplify (sqrt 1) into 1
4.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.146 * [backup-simplify]: Simplify (+ 0 0) into 0
4.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.147 * [backup-simplify]: Simplify (* 1 1) into 1
4.147 * [backup-simplify]: Simplify (+ 0 1) into 1
4.147 * [backup-simplify]: Simplify (sqrt 1) into 1
4.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.148 * [backup-simplify]: Simplify (+ 0 0) into 0
4.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.148 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
4.149 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))))
4.149 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in x
4.149 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
4.149 * [taylor]: Taking taylor expansion of (/ -1 z) in x
4.149 * [taylor]: Taking taylor expansion of -1 in x
4.149 * [backup-simplify]: Simplify -1 into -1
4.149 * [taylor]: Taking taylor expansion of z in x
4.149 * [backup-simplify]: Simplify z into z
4.149 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
4.149 * [taylor]: Taking taylor expansion of (/ -1 z) in x
4.149 * [taylor]: Taking taylor expansion of -1 in x
4.149 * [backup-simplify]: Simplify -1 into -1
4.149 * [taylor]: Taking taylor expansion of z in x
4.149 * [backup-simplify]: Simplify z into z
4.149 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
4.149 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in x
4.149 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
4.149 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.149 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.149 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.149 * [taylor]: Taking taylor expansion of -1 in x
4.149 * [backup-simplify]: Simplify -1 into -1
4.149 * [taylor]: Taking taylor expansion of x in x
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 1 into 1
4.149 * [backup-simplify]: Simplify (/ -1 1) into -1
4.149 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.149 * [taylor]: Taking taylor expansion of -1 in x
4.149 * [backup-simplify]: Simplify -1 into -1
4.149 * [taylor]: Taking taylor expansion of x in x
4.149 * [backup-simplify]: Simplify 0 into 0
4.149 * [backup-simplify]: Simplify 1 into 1
4.150 * [backup-simplify]: Simplify (/ -1 1) into -1
4.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.150 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.150 * [taylor]: Taking taylor expansion of y in x
4.150 * [backup-simplify]: Simplify y into y
4.150 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.150 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.150 * [backup-simplify]: Simplify (* -1 -1) into 1
4.150 * [backup-simplify]: Simplify (+ 1 0) into 1
4.151 * [backup-simplify]: Simplify (sqrt 1) into 1
4.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.152 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.152 * [backup-simplify]: Simplify (+ 0 0) into 0
4.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.153 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in x
4.153 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.153 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.153 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.153 * [taylor]: Taking taylor expansion of -1 in x
4.153 * [backup-simplify]: Simplify -1 into -1
4.153 * [taylor]: Taking taylor expansion of x in x
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 1 into 1
4.153 * [backup-simplify]: Simplify (/ -1 1) into -1
4.153 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.153 * [taylor]: Taking taylor expansion of -1 in x
4.153 * [backup-simplify]: Simplify -1 into -1
4.153 * [taylor]: Taking taylor expansion of x in x
4.153 * [backup-simplify]: Simplify 0 into 0
4.153 * [backup-simplify]: Simplify 1 into 1
4.154 * [backup-simplify]: Simplify (/ -1 1) into -1
4.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.154 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.154 * [taylor]: Taking taylor expansion of y in x
4.154 * [backup-simplify]: Simplify y into y
4.154 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.154 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.154 * [backup-simplify]: Simplify (* -1 -1) into 1
4.154 * [backup-simplify]: Simplify (+ 1 0) into 1
4.155 * [backup-simplify]: Simplify (sqrt 1) into 1
4.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.156 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.156 * [backup-simplify]: Simplify (+ 0 0) into 0
4.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.157 * [backup-simplify]: Simplify (* 1 1) into 1
4.157 * [backup-simplify]: Simplify (+ 0 1) into 1
4.158 * [backup-simplify]: Simplify (sqrt 1) into 1
4.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.158 * [backup-simplify]: Simplify (+ 0 0) into 0
4.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.159 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
4.159 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))))
4.159 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in z
4.159 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
4.159 * [taylor]: Taking taylor expansion of (/ -1 z) in z
4.159 * [taylor]: Taking taylor expansion of -1 in z
4.159 * [backup-simplify]: Simplify -1 into -1
4.159 * [taylor]: Taking taylor expansion of z in z
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 1 into 1
4.159 * [backup-simplify]: Simplify (/ -1 1) into -1
4.159 * [taylor]: Taking taylor expansion of (/ -1 z) in z
4.159 * [taylor]: Taking taylor expansion of -1 in z
4.159 * [backup-simplify]: Simplify -1 into -1
4.159 * [taylor]: Taking taylor expansion of z in z
4.159 * [backup-simplify]: Simplify 0 into 0
4.159 * [backup-simplify]: Simplify 1 into 1
4.159 * [backup-simplify]: Simplify (/ -1 1) into -1
4.159 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
4.160 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
4.160 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
4.160 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.160 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
4.160 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.160 * [taylor]: Taking taylor expansion of -1 in z
4.160 * [backup-simplify]: Simplify -1 into -1
4.160 * [taylor]: Taking taylor expansion of x in z
4.160 * [backup-simplify]: Simplify x into x
4.160 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.160 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.160 * [taylor]: Taking taylor expansion of -1 in z
4.160 * [backup-simplify]: Simplify -1 into -1
4.160 * [taylor]: Taking taylor expansion of x in z
4.160 * [backup-simplify]: Simplify x into x
4.160 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.160 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.160 * [taylor]: Taking taylor expansion of y in z
4.160 * [backup-simplify]: Simplify y into y
4.160 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.160 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.160 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.160 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.161 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.161 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.161 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.161 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.161 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.161 * [backup-simplify]: Simplify (+ 0 0) into 0
4.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.162 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
4.162 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
4.162 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.162 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
4.162 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.162 * [taylor]: Taking taylor expansion of -1 in z
4.162 * [backup-simplify]: Simplify -1 into -1
4.162 * [taylor]: Taking taylor expansion of x in z
4.162 * [backup-simplify]: Simplify x into x
4.162 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.162 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.162 * [taylor]: Taking taylor expansion of -1 in z
4.162 * [backup-simplify]: Simplify -1 into -1
4.162 * [taylor]: Taking taylor expansion of x in z
4.162 * [backup-simplify]: Simplify x into x
4.162 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.162 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.162 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.162 * [taylor]: Taking taylor expansion of y in z
4.162 * [backup-simplify]: Simplify y into y
4.162 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.162 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.162 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.162 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.162 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.163 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.163 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.163 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.163 * [backup-simplify]: Simplify (+ 0 0) into 0
4.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.164 * [backup-simplify]: Simplify (* -1 -1) into 1
4.164 * [backup-simplify]: Simplify (+ 1 0) into 1
4.164 * [backup-simplify]: Simplify (sqrt 1) into 1
4.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.165 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.166 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.166 * [backup-simplify]: Simplify (+ 0 0) into 0
4.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.166 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
4.166 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))))
4.166 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))))) in z
4.166 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
4.166 * [taylor]: Taking taylor expansion of (/ -1 z) in z
4.166 * [taylor]: Taking taylor expansion of -1 in z
4.166 * [backup-simplify]: Simplify -1 into -1
4.166 * [taylor]: Taking taylor expansion of z in z
4.166 * [backup-simplify]: Simplify 0 into 0
4.166 * [backup-simplify]: Simplify 1 into 1
4.167 * [backup-simplify]: Simplify (/ -1 1) into -1
4.167 * [taylor]: Taking taylor expansion of (/ -1 z) in z
4.167 * [taylor]: Taking taylor expansion of -1 in z
4.167 * [backup-simplify]: Simplify -1 into -1
4.167 * [taylor]: Taking taylor expansion of z in z
4.167 * [backup-simplify]: Simplify 0 into 0
4.167 * [backup-simplify]: Simplify 1 into 1
4.167 * [backup-simplify]: Simplify (/ -1 1) into -1
4.167 * [taylor]: Taking taylor expansion of (* (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))))) in z
4.167 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
4.167 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
4.167 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.167 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
4.167 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.167 * [taylor]: Taking taylor expansion of -1 in z
4.167 * [backup-simplify]: Simplify -1 into -1
4.167 * [taylor]: Taking taylor expansion of x in z
4.167 * [backup-simplify]: Simplify x into x
4.167 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.167 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.167 * [taylor]: Taking taylor expansion of -1 in z
4.167 * [backup-simplify]: Simplify -1 into -1
4.167 * [taylor]: Taking taylor expansion of x in z
4.167 * [backup-simplify]: Simplify x into x
4.167 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.168 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.168 * [taylor]: Taking taylor expansion of y in z
4.168 * [backup-simplify]: Simplify y into y
4.168 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.168 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.168 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.168 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.168 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.168 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.168 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.168 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.168 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.169 * [backup-simplify]: Simplify (+ 0 0) into 0
4.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.169 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))) in z
4.169 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in z
4.169 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.169 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
4.169 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.169 * [taylor]: Taking taylor expansion of -1 in z
4.169 * [backup-simplify]: Simplify -1 into -1
4.169 * [taylor]: Taking taylor expansion of x in z
4.169 * [backup-simplify]: Simplify x into x
4.169 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.169 * [taylor]: Taking taylor expansion of (/ -1 x) in z
4.169 * [taylor]: Taking taylor expansion of -1 in z
4.169 * [backup-simplify]: Simplify -1 into -1
4.169 * [taylor]: Taking taylor expansion of x in z
4.169 * [backup-simplify]: Simplify x into x
4.169 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.169 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
4.169 * [taylor]: Taking taylor expansion of (pow y 2) in z
4.169 * [taylor]: Taking taylor expansion of y in z
4.170 * [backup-simplify]: Simplify y into y
4.170 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.170 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.170 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
4.170 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.170 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.170 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.170 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
4.170 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
4.170 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.171 * [backup-simplify]: Simplify (+ 0 0) into 0
4.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.171 * [backup-simplify]: Simplify (* -1 -1) into 1
4.171 * [backup-simplify]: Simplify (+ 1 0) into 1
4.172 * [backup-simplify]: Simplify (sqrt 1) into 1
4.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.173 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.173 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.173 * [backup-simplify]: Simplify (+ 0 0) into 0
4.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.174 * [taylor]: Taking taylor expansion of 1 in x
4.174 * [backup-simplify]: Simplify 1 into 1
4.174 * [taylor]: Taking taylor expansion of 0 in x
4.174 * [backup-simplify]: Simplify 0 into 0
4.174 * [taylor]: Taking taylor expansion of 1 in y
4.174 * [backup-simplify]: Simplify 1 into 1
4.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.176 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.176 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.176 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
4.177 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
4.177 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.177 * [taylor]: Taking taylor expansion of 1/2 in x
4.177 * [backup-simplify]: Simplify 1/2 into 1/2
4.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.177 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.177 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.177 * [taylor]: Taking taylor expansion of x in x
4.177 * [backup-simplify]: Simplify 0 into 0
4.177 * [backup-simplify]: Simplify 1 into 1
4.177 * [backup-simplify]: Simplify (* 1 1) into 1
4.178 * [backup-simplify]: Simplify (/ 1 1) into 1
4.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.178 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.178 * [taylor]: Taking taylor expansion of y in x
4.178 * [backup-simplify]: Simplify y into y
4.178 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.178 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.179 * [backup-simplify]: Simplify (+ 0 0) into 0
4.179 * [backup-simplify]: Simplify (+ 1 0) into 1
4.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.180 * [taylor]: Taking taylor expansion of 0 in y
4.180 * [backup-simplify]: Simplify 0 into 0
4.180 * [taylor]: Taking taylor expansion of 0 in y
4.180 * [backup-simplify]: Simplify 0 into 0
4.180 * [taylor]: Taking taylor expansion of 0 in y
4.180 * [backup-simplify]: Simplify 0 into 0
4.180 * [backup-simplify]: Simplify 1 into 1
4.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.181 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.182 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.182 * [backup-simplify]: Simplify (+ 0 0) into 0
4.183 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
4.183 * [taylor]: Taking taylor expansion of 0 in x
4.183 * [backup-simplify]: Simplify 0 into 0
4.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.184 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.184 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
4.184 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
4.184 * [taylor]: Taking taylor expansion of 1/2 in y
4.184 * [backup-simplify]: Simplify 1/2 into 1/2
4.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.184 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.184 * [taylor]: Taking taylor expansion of y in y
4.184 * [backup-simplify]: Simplify 0 into 0
4.184 * [backup-simplify]: Simplify 1 into 1
4.185 * [backup-simplify]: Simplify (* 1 1) into 1
4.185 * [backup-simplify]: Simplify (/ 1 1) into 1
4.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [taylor]: Taking taylor expansion of 0 in y
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [taylor]: Taking taylor expansion of 0 in y
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 0 into 0
4.186 * [backup-simplify]: Simplify 0 into 0
4.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.188 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.188 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.189 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
4.189 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.190 * [backup-simplify]: Simplify (+ 0 0) into 0
4.190 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.190 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
4.191 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
4.191 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.191 * [backup-simplify]: Simplify (+ 0 0) into 0
4.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
4.193 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) into 0
4.193 * [backup-simplify]: Simplify (+ 0 0) into 0
4.194 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
4.194 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in x
4.194 * [taylor]: Taking taylor expansion of -1/2 in x
4.194 * [backup-simplify]: Simplify -1/2 into -1/2
4.194 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in x
4.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
4.194 * [taylor]: Taking taylor expansion of 1/2 in x
4.194 * [backup-simplify]: Simplify 1/2 into 1/2
4.194 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
4.194 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
4.194 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.194 * [taylor]: Taking taylor expansion of x in x
4.194 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify 1 into 1
4.195 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.195 * [taylor]: Taking taylor expansion of y in x
4.195 * [backup-simplify]: Simplify y into y
4.195 * [backup-simplify]: Simplify (* 1 1) into 1
4.195 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.195 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
4.195 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.195 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
4.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
4.195 * [taylor]: Taking taylor expansion of 1/4 in x
4.195 * [backup-simplify]: Simplify 1/4 into 1/4
4.195 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
4.195 * [taylor]: Taking taylor expansion of (pow x 4) in x
4.195 * [taylor]: Taking taylor expansion of x in x
4.195 * [backup-simplify]: Simplify 0 into 0
4.195 * [backup-simplify]: Simplify 1 into 1
4.195 * [backup-simplify]: Simplify (* 1 1) into 1
4.196 * [backup-simplify]: Simplify (* 1 1) into 1
4.196 * [backup-simplify]: Simplify (/ 1 1) into 1
4.196 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
4.196 * [taylor]: Taking taylor expansion of 1/4 in x
4.196 * [backup-simplify]: Simplify 1/4 into 1/4
4.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
4.196 * [taylor]: Taking taylor expansion of (pow y 4) in x
4.196 * [taylor]: Taking taylor expansion of y in x
4.196 * [backup-simplify]: Simplify y into y
4.196 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.196 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
4.196 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
4.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
4.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
4.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.203 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.203 * [backup-simplify]: Simplify (+ 0 0) into 0
4.203 * [backup-simplify]: Simplify (+ 0 0) into 0
4.203 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
4.204 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
4.204 * [backup-simplify]: Simplify (+ 0 0) into 0
4.204 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
4.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
4.205 * [backup-simplify]: Simplify (+ 0 0) into 0
4.205 * [backup-simplify]: Simplify (+ 0 0) into 0
4.205 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
4.206 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
4.206 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
4.207 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
4.207 * [taylor]: Taking taylor expansion of 0 in y
4.207 * [backup-simplify]: Simplify 0 into 0
4.207 * [taylor]: Taking taylor expansion of 0 in y
4.207 * [backup-simplify]: Simplify 0 into 0
4.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.208 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.209 * [backup-simplify]: Simplify (+ 0 0) into 0
4.209 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
4.209 * [taylor]: Taking taylor expansion of 0 in y
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [taylor]: Taking taylor expansion of 0 in y
4.209 * [backup-simplify]: Simplify 0 into 0
4.209 * [taylor]: Taking taylor expansion of 0 in y
4.209 * [backup-simplify]: Simplify 0 into 0
4.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
4.211 * [backup-simplify]: Simplify 0 into 0
4.211 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
4.211 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1)
4.211 * [backup-simplify]: Simplify (fma x x (* y y)) into (fma x x (pow y 2))
4.211 * [approximate]: Taking taylor expansion of (fma x x (pow y 2)) in (x y) around 0
4.211 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in y
4.212 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.212 * [taylor]: Taking taylor expansion of (* x x) in y
4.212 * [taylor]: Taking taylor expansion of x in y
4.212 * [backup-simplify]: Simplify x into x
4.212 * [taylor]: Taking taylor expansion of x in y
4.212 * [backup-simplify]: Simplify x into x
4.212 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.212 * [taylor]: Taking taylor expansion of y in y
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.212 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
4.212 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.212 * [taylor]: Taking taylor expansion of (* x x) in x
4.212 * [taylor]: Taking taylor expansion of x in x
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.212 * [taylor]: Taking taylor expansion of x in x
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.212 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.212 * [taylor]: Taking taylor expansion of y in x
4.212 * [backup-simplify]: Simplify y into y
4.212 * [taylor]: Taking taylor expansion of (fma x x (pow y 2)) in x
4.212 * [taylor]: Rewrote expression to (+ (* x x) (pow y 2))
4.212 * [taylor]: Taking taylor expansion of (* x x) in x
4.212 * [taylor]: Taking taylor expansion of x in x
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.212 * [taylor]: Taking taylor expansion of x in x
4.212 * [backup-simplify]: Simplify 0 into 0
4.212 * [backup-simplify]: Simplify 1 into 1
4.212 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.212 * [taylor]: Taking taylor expansion of y in x
4.212 * [backup-simplify]: Simplify y into y
4.213 * [backup-simplify]: Simplify (* 0 0) into 0
4.213 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.213 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.213 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.213 * [taylor]: Taking taylor expansion of y in y
4.213 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify 1 into 1
4.213 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.213 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.213 * [backup-simplify]: Simplify (+ 0 0) into 0
4.213 * [taylor]: Taking taylor expansion of 0 in y
4.213 * [backup-simplify]: Simplify 0 into 0
4.213 * [backup-simplify]: Simplify 0 into 0
4.214 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.214 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.214 * [backup-simplify]: Simplify (+ 1 0) into 1
4.214 * [taylor]: Taking taylor expansion of 1 in y
4.214 * [backup-simplify]: Simplify 1 into 1
4.215 * [backup-simplify]: Simplify 1 into 1
4.215 * [backup-simplify]: Simplify 0 into 0
4.215 * [backup-simplify]: Simplify (* 1 1) into 1
4.215 * [backup-simplify]: Simplify 1 into 1
4.215 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
4.216 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.216 * [backup-simplify]: Simplify (+ 0 0) into 0
4.216 * [taylor]: Taking taylor expansion of 0 in y
4.216 * [backup-simplify]: Simplify 0 into 0
4.216 * [backup-simplify]: Simplify 0 into 0
4.216 * [backup-simplify]: Simplify 0 into 0
4.216 * [backup-simplify]: Simplify 0 into 0
4.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.217 * [backup-simplify]: Simplify 0 into 0
4.217 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.218 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
4.218 * [backup-simplify]: Simplify (+ 0 0) into 0
4.218 * [taylor]: Taking taylor expansion of 0 in y
4.218 * [backup-simplify]: Simplify 0 into 0
4.218 * [backup-simplify]: Simplify 0 into 0
4.218 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
4.219 * [backup-simplify]: Simplify (fma (/ 1 x) (/ 1 x) (* (/ 1 y) (/ 1 y))) into (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2)))
4.219 * [approximate]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in (x y) around 0
4.219 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in y
4.219 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.219 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
4.219 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.219 * [taylor]: Taking taylor expansion of x in y
4.219 * [backup-simplify]: Simplify x into x
4.219 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.219 * [taylor]: Taking taylor expansion of (/ 1 x) in y
4.219 * [taylor]: Taking taylor expansion of x in y
4.219 * [backup-simplify]: Simplify x into x
4.219 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
4.219 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.219 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.219 * [taylor]: Taking taylor expansion of y in y
4.219 * [backup-simplify]: Simplify 0 into 0
4.219 * [backup-simplify]: Simplify 1 into 1
4.219 * [backup-simplify]: Simplify (* 1 1) into 1
4.220 * [backup-simplify]: Simplify (/ 1 1) into 1
4.220 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.220 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.220 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.220 * [taylor]: Taking taylor expansion of x in x
4.220 * [backup-simplify]: Simplify 0 into 0
4.220 * [backup-simplify]: Simplify 1 into 1
4.220 * [backup-simplify]: Simplify (/ 1 1) into 1
4.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.220 * [taylor]: Taking taylor expansion of x in x
4.220 * [backup-simplify]: Simplify 0 into 0
4.220 * [backup-simplify]: Simplify 1 into 1
4.220 * [backup-simplify]: Simplify (/ 1 1) into 1
4.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.220 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.220 * [taylor]: Taking taylor expansion of y in x
4.220 * [backup-simplify]: Simplify y into y
4.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.221 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.221 * [taylor]: Taking taylor expansion of (fma (/ 1 x) (/ 1 x) (/ 1 (pow y 2))) in x
4.221 * [taylor]: Rewrote expression to (+ (* (/ 1 x) (/ 1 x)) (/ 1 (pow y 2)))
4.221 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
4.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.221 * [taylor]: Taking taylor expansion of x in x
4.221 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify 1 into 1
4.221 * [backup-simplify]: Simplify (/ 1 1) into 1
4.221 * [taylor]: Taking taylor expansion of (/ 1 x) in x
4.221 * [taylor]: Taking taylor expansion of x in x
4.221 * [backup-simplify]: Simplify 0 into 0
4.221 * [backup-simplify]: Simplify 1 into 1
4.221 * [backup-simplify]: Simplify (/ 1 1) into 1
4.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.221 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.221 * [taylor]: Taking taylor expansion of y in x
4.221 * [backup-simplify]: Simplify y into y
4.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.222 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.222 * [backup-simplify]: Simplify (* 1 1) into 1
4.222 * [backup-simplify]: Simplify (+ 1 0) into 1
4.222 * [taylor]: Taking taylor expansion of 1 in y
4.222 * [backup-simplify]: Simplify 1 into 1
4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.224 * [backup-simplify]: Simplify (+ 0 0) into 0
4.224 * [taylor]: Taking taylor expansion of 0 in y
4.224 * [backup-simplify]: Simplify 0 into 0
4.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.225 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.225 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.225 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.225 * [taylor]: Taking taylor expansion of y in y
4.225 * [backup-simplify]: Simplify 0 into 0
4.225 * [backup-simplify]: Simplify 1 into 1
4.226 * [backup-simplify]: Simplify (* 1 1) into 1
4.228 * [backup-simplify]: Simplify (/ 1 1) into 1
4.229 * [backup-simplify]: Simplify 1 into 1
4.229 * [backup-simplify]: Simplify 1 into 1
4.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.230 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.231 * [backup-simplify]: Simplify (+ 0 0) into 0
4.231 * [taylor]: Taking taylor expansion of 0 in y
4.231 * [backup-simplify]: Simplify 0 into 0
4.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify 0 into 0
4.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.234 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.234 * [backup-simplify]: Simplify (+ 0 0) into 0
4.234 * [taylor]: Taking taylor expansion of 0 in y
4.234 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 0 into 0
4.235 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
4.236 * [backup-simplify]: Simplify (fma (/ 1 (- x)) (/ 1 (- x)) (* (/ 1 (- y)) (/ 1 (- y)))) into (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2)))
4.236 * [approximate]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in (x y) around 0
4.236 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in y
4.236 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.236 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
4.236 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.236 * [taylor]: Taking taylor expansion of -1 in y
4.236 * [backup-simplify]: Simplify -1 into -1
4.236 * [taylor]: Taking taylor expansion of x in y
4.236 * [backup-simplify]: Simplify x into x
4.236 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.236 * [taylor]: Taking taylor expansion of (/ -1 x) in y
4.236 * [taylor]: Taking taylor expansion of -1 in y
4.236 * [backup-simplify]: Simplify -1 into -1
4.236 * [taylor]: Taking taylor expansion of x in y
4.236 * [backup-simplify]: Simplify x into x
4.236 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
4.236 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.236 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.236 * [taylor]: Taking taylor expansion of y in y
4.236 * [backup-simplify]: Simplify 0 into 0
4.236 * [backup-simplify]: Simplify 1 into 1
4.237 * [backup-simplify]: Simplify (* 1 1) into 1
4.237 * [backup-simplify]: Simplify (/ 1 1) into 1
4.237 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.237 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.237 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.237 * [taylor]: Taking taylor expansion of -1 in x
4.237 * [backup-simplify]: Simplify -1 into -1
4.237 * [taylor]: Taking taylor expansion of x in x
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify 1 into 1
4.237 * [backup-simplify]: Simplify (/ -1 1) into -1
4.237 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.237 * [taylor]: Taking taylor expansion of -1 in x
4.237 * [backup-simplify]: Simplify -1 into -1
4.237 * [taylor]: Taking taylor expansion of x in x
4.237 * [backup-simplify]: Simplify 0 into 0
4.237 * [backup-simplify]: Simplify 1 into 1
4.238 * [backup-simplify]: Simplify (/ -1 1) into -1
4.238 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.238 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.238 * [taylor]: Taking taylor expansion of y in x
4.238 * [backup-simplify]: Simplify y into y
4.238 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.238 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.238 * [taylor]: Taking taylor expansion of (fma (/ -1 x) (/ -1 x) (/ 1 (pow y 2))) in x
4.238 * [taylor]: Rewrote expression to (+ (* (/ -1 x) (/ -1 x)) (/ 1 (pow y 2)))
4.238 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
4.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.238 * [taylor]: Taking taylor expansion of -1 in x
4.238 * [backup-simplify]: Simplify -1 into -1
4.238 * [taylor]: Taking taylor expansion of x in x
4.238 * [backup-simplify]: Simplify 0 into 0
4.238 * [backup-simplify]: Simplify 1 into 1
4.238 * [backup-simplify]: Simplify (/ -1 1) into -1
4.238 * [taylor]: Taking taylor expansion of (/ -1 x) in x
4.238 * [taylor]: Taking taylor expansion of -1 in x
4.239 * [backup-simplify]: Simplify -1 into -1
4.239 * [taylor]: Taking taylor expansion of x in x
4.239 * [backup-simplify]: Simplify 0 into 0
4.239 * [backup-simplify]: Simplify 1 into 1
4.239 * [backup-simplify]: Simplify (/ -1 1) into -1
4.239 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.239 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.239 * [taylor]: Taking taylor expansion of y in x
4.239 * [backup-simplify]: Simplify y into y
4.239 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.239 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.239 * [backup-simplify]: Simplify (* -1 -1) into 1
4.240 * [backup-simplify]: Simplify (+ 1 0) into 1
4.240 * [taylor]: Taking taylor expansion of 1 in y
4.240 * [backup-simplify]: Simplify 1 into 1
4.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.241 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.241 * [backup-simplify]: Simplify (+ 0 0) into 0
4.241 * [taylor]: Taking taylor expansion of 0 in y
4.241 * [backup-simplify]: Simplify 0 into 0
4.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.243 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.243 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.243 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.243 * [taylor]: Taking taylor expansion of y in y
4.243 * [backup-simplify]: Simplify 0 into 0
4.243 * [backup-simplify]: Simplify 1 into 1
4.243 * [backup-simplify]: Simplify (* 1 1) into 1
4.244 * [backup-simplify]: Simplify (/ 1 1) into 1
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [backup-simplify]: Simplify 1 into 1
4.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.245 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.245 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.246 * [backup-simplify]: Simplify (+ 0 0) into 0
4.246 * [taylor]: Taking taylor expansion of 0 in y
4.246 * [backup-simplify]: Simplify 0 into 0
4.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify 0 into 0
4.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.249 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
4.249 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
4.249 * [backup-simplify]: Simplify (+ 0 0) into 0
4.249 * [taylor]: Taking taylor expansion of 0 in y
4.249 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.250 * [backup-simplify]: Simplify 0 into 0
4.251 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
4.251 * * * [progress]: simplifying candidates
4.251 * [simplify]: Simplifying:
  (expm1 (sqrt (fma x x (* y y))))
  (log1p (sqrt (fma x x (* y y))))
  (log (sqrt (fma x x (* y y))))
  (exp (sqrt (fma x x (* y y))))
  (* (cbrt (sqrt (fma x x (* y y)))) (cbrt (sqrt (fma x x (* y y)))))
  (cbrt (sqrt (fma x x (* y y))))
  (* (* (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y)))) (sqrt (fma x x (* y y))))
  (sqrt (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y)))))
  (sqrt (cbrt (fma x x (* y y))))
  (sqrt (sqrt (fma x x (* y y))))
  (sqrt (sqrt (fma x x (* y y))))
  (sqrt 1)
  (sqrt (fma x x (* y y)))
  (/ 1 2)
  (sqrt (sqrt (fma x x (* y y))))
  (sqrt (sqrt (fma x x (* y y))))
  (expm1 (hypot z (sqrt (fma x x (* y y)))))
  (log1p (hypot z (sqrt (fma x x (* y y)))))
  (+ (* z z) (* (sqrt (fma x x (* y y))) (sqrt (fma x x (* y y)))))
  (log (hypot z (sqrt (fma x x (* y y)))))
  (exp (hypot z (sqrt (fma x x (* y y)))))
  (* (cbrt (hypot z (sqrt (fma x x (* y y))))) (cbrt (hypot z (sqrt (fma x x (* y y))))))
  (cbrt (hypot z (sqrt (fma x x (* y y)))))
  (* (* (hypot z (sqrt (fma x x (* y y)))) (hypot z (sqrt (fma x x (* y y))))) (hypot z (sqrt (fma x x (* y y)))))
  (sqrt (hypot z (sqrt (fma x x (* y y)))))
  (sqrt (hypot z (sqrt (fma x x (* y y)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (* x x)
  (log (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (* (* (fma x x (* y y)) (fma x x (* y y))) (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  (sqrt (fma x x (* y y)))
  y
  x
  (* -1 x)
  y
  z
  (* -1 z)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
4.252 * * [simplify]: Extracting # 0 : cost  0
4.252 * * [simplify]: Extracting # 1 : cost  0
4.252 * * [simplify]: Extracting # 2 : cost  0
4.252 * * [simplify]: Extracting # 3 : cost  0
4.252 * * [simplify]: Extracting # 4 : cost  0
4.252 * * [simplify]: Extracting # 5 : cost  0
4.252 * * [simplify]: Extracting # 6 : cost  0
4.252 * * [simplify]: iteration  0 :  48  enodes  (cost  405 )
4.262 * * [simplify]: Extracting # 0 : cost  0
4.262 * * [simplify]: Extracting # 1 : cost  0
4.262 * * [simplify]: Extracting # 2 : cost  0
4.262 * * [simplify]: iteration  1 :  68  enodes  (cost  370 )
4.274 * * [simplify]: Extracting # 0 : cost  0
4.274 * * [simplify]: Extracting # 1 : cost  0
4.274 * * [simplify]: Extracting # 2 : cost  0
4.275 * * [simplify]: Extracting # 3 : cost  0
4.275 * * [simplify]: iteration  2 :  137  enodes  (cost  235 )
4.311 * * [simplify]: Extracting # 0 : cost  0
4.311 * * [simplify]: Extracting # 1 : cost  0
4.311 * * [simplify]: Extracting # 2 : cost  0
4.312 * * [simplify]: Extracting # 3 : cost  0
4.312 * * [simplify]: Extracting # 4 : cost  0
4.312 * * [simplify]: iteration  3 :  341  enodes  (cost  231 )
4.495 * * [simplify]: Extracting # 0 : cost  0
4.497 * * [simplify]: Extracting # 1 : cost  0
4.498 * * [simplify]: Extracting # 2 : cost  0
4.500 * * [simplify]: Extracting # 3 : cost  0
4.501 * * [simplify]: Extracting # 4 : cost  0
4.502 * * [simplify]: iteration  4 :  952  enodes  (cost  231 )
6.001 * * [simplify]: Extracting # 0 : cost  0
6.004 * * [simplify]: Extracting # 1 : cost  0
6.005 * * [simplify]: Extracting # 2 : cost  0
6.008 * * [simplify]: Extracting # 3 : cost  0
6.009 * * [simplify]: Extracting # 4 : cost  0
6.016 * * [simplify]: iteration  5 :  3083  enodes  (cost  219 )
7.525 * * [simplify]: Extracting # 0 : cost  0
7.531 * * [simplify]: Extracting # 1 : cost  0
7.537 * * [simplify]: Extracting # 2 : cost  0
7.541 * * [simplify]: iteration done:  5000  enodes  (cost  219 )
7.541 * [simplify]: Simplified to:
  (expm1 (hypot y x))
  (log1p (hypot y x))
  (log (hypot y x))
  (exp (hypot y x))
  (* (cbrt (hypot y x)) (cbrt (hypot y x)))
  (cbrt (hypot y x))
  (pow (hypot y x) 3)
  (fabs (cbrt (pow (hypot y x) 2)))
  (sqrt (cbrt (pow (hypot y x) 2)))
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  1
  (hypot y x)
  1/2
  (sqrt (hypot y x))
  (sqrt (hypot y x))
  (expm1 (hypot z (hypot y x)))
  (log1p (hypot z (hypot y x)))
  (fma z z (pow (hypot y x) 2))
  (log (hypot z (hypot y x)))
  (exp (hypot z (hypot y x)))
  (* (cbrt (hypot z (hypot y x))) (cbrt (hypot z (hypot y x))))
  (cbrt (hypot z (hypot y x)))
  (pow (hypot z (hypot y x)) 3)
  (sqrt (hypot z (hypot y x)))
  (sqrt (hypot z (hypot y x)))
  (expm1 (pow (hypot y x) 2))
  (log1p (pow (hypot y x) 2))
  (* x x)
  (* 2 (log (hypot y x)))
  (exp (pow (hypot y x) 2))
  (* (cbrt (pow (hypot y x) 2)) (cbrt (pow (hypot y x) 2)))
  (cbrt (pow (hypot y x) 2))
  (pow (hypot y x) 6)
  (hypot y x)
  (hypot y x)
  y
  x
  (- x)
  y
  z
  (- z)
  (pow (hypot y x) 2)
  (pow (hypot y x) 2)
  (pow (hypot y x) 2)
7.542 * * * [progress]: adding candidates to table
7.711 * * [progress]: iteration 4 / 4
7.711 * * * [progress]: picking best candidate
7.717 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot z (hypot x y)))>
7.717 * * * [progress]: localizing error
7.726 * * * [progress]: generating rewritten candidates
7.726 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
7.727 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2)
7.728 * * * [progress]: generating series expansions
7.728 * * * * [progress]: [ 1 / 2 ] generating series at (2)
7.728 * [backup-simplify]: Simplify (hypot z (hypot x y)) into (hypot z (hypot x y))
7.728 * [approximate]: Taking taylor expansion of (hypot z (hypot x y)) in (z x y) around 0
7.728 * [taylor]: Taking taylor expansion of (hypot z (hypot x y)) in y
7.728 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (hypot x y) (hypot x y))))
7.728 * [taylor]: Taking taylor expansion of (+ (* z z) (* (hypot x y) (hypot x y))) in y
7.728 * [taylor]: Taking taylor expansion of (* z z) in y
7.728 * [taylor]: Taking taylor expansion of z in y
7.728 * [backup-simplify]: Simplify z into z
7.728 * [taylor]: Taking taylor expansion of z in y
7.728 * [backup-simplify]: Simplify z into z
7.728 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
7.728 * [taylor]: Taking taylor expansion of (hypot x y) in y
7.728 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.728 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
7.728 * [taylor]: Taking taylor expansion of (* x x) in y
7.728 * [taylor]: Taking taylor expansion of x in y
7.728 * [backup-simplify]: Simplify x into x
7.728 * [taylor]: Taking taylor expansion of x in y
7.728 * [backup-simplify]: Simplify x into x
7.728 * [taylor]: Taking taylor expansion of (* y y) in y
7.728 * [taylor]: Taking taylor expansion of y in y
7.728 * [backup-simplify]: Simplify 0 into 0
7.728 * [backup-simplify]: Simplify 1 into 1
7.728 * [taylor]: Taking taylor expansion of y in y
7.729 * [backup-simplify]: Simplify 0 into 0
7.729 * [backup-simplify]: Simplify 1 into 1
7.729 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.729 * [backup-simplify]: Simplify (* 0 0) into 0
7.729 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.729 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.730 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.730 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.730 * [backup-simplify]: Simplify (+ 0 0) into 0
7.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.731 * [taylor]: Taking taylor expansion of (hypot x y) in y
7.731 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.731 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
7.731 * [taylor]: Taking taylor expansion of (* x x) in y
7.731 * [taylor]: Taking taylor expansion of x in y
7.731 * [backup-simplify]: Simplify x into x
7.731 * [taylor]: Taking taylor expansion of x in y
7.731 * [backup-simplify]: Simplify x into x
7.731 * [taylor]: Taking taylor expansion of (* y y) in y
7.731 * [taylor]: Taking taylor expansion of y in y
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 1 into 1
7.731 * [taylor]: Taking taylor expansion of y in y
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 1 into 1
7.731 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.731 * [backup-simplify]: Simplify (* 0 0) into 0
7.732 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.732 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.732 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.732 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.733 * [backup-simplify]: Simplify (+ 0 0) into 0
7.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.733 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.734 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.734 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
7.734 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.734 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.734 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.735 * [backup-simplify]: Simplify (+ 0 0) into 0
7.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
7.735 * [taylor]: Taking taylor expansion of (hypot z (hypot x y)) in x
7.735 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (hypot x y) (hypot x y))))
7.735 * [taylor]: Taking taylor expansion of (+ (* z z) (* (hypot x y) (hypot x y))) in x
7.735 * [taylor]: Taking taylor expansion of (* z z) in x
7.735 * [taylor]: Taking taylor expansion of z in x
7.735 * [backup-simplify]: Simplify z into z
7.735 * [taylor]: Taking taylor expansion of z in x
7.736 * [backup-simplify]: Simplify z into z
7.736 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
7.736 * [taylor]: Taking taylor expansion of (hypot x y) in x
7.736 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.736 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
7.736 * [taylor]: Taking taylor expansion of (* x x) in x
7.736 * [taylor]: Taking taylor expansion of x in x
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify 1 into 1
7.736 * [taylor]: Taking taylor expansion of x in x
7.736 * [backup-simplify]: Simplify 0 into 0
7.736 * [backup-simplify]: Simplify 1 into 1
7.736 * [taylor]: Taking taylor expansion of (* y y) in x
7.736 * [taylor]: Taking taylor expansion of y in x
7.736 * [backup-simplify]: Simplify y into y
7.736 * [taylor]: Taking taylor expansion of y in x
7.736 * [backup-simplify]: Simplify y into y
7.736 * [backup-simplify]: Simplify (* 0 0) into 0
7.737 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.737 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.737 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.737 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.738 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.738 * [backup-simplify]: Simplify (+ 0 0) into 0
7.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.738 * [taylor]: Taking taylor expansion of (hypot x y) in x
7.738 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.738 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
7.738 * [taylor]: Taking taylor expansion of (* x x) in x
7.738 * [taylor]: Taking taylor expansion of x in x
7.738 * [backup-simplify]: Simplify 0 into 0
7.738 * [backup-simplify]: Simplify 1 into 1
7.738 * [taylor]: Taking taylor expansion of x in x
7.738 * [backup-simplify]: Simplify 0 into 0
7.738 * [backup-simplify]: Simplify 1 into 1
7.738 * [taylor]: Taking taylor expansion of (* y y) in x
7.739 * [taylor]: Taking taylor expansion of y in x
7.739 * [backup-simplify]: Simplify y into y
7.739 * [taylor]: Taking taylor expansion of y in x
7.739 * [backup-simplify]: Simplify y into y
7.739 * [backup-simplify]: Simplify (* 0 0) into 0
7.739 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.739 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.739 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.740 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.740 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.740 * [backup-simplify]: Simplify (+ 0 0) into 0
7.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.740 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.740 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.741 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
7.741 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.741 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.741 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.741 * [backup-simplify]: Simplify (+ 0 0) into 0
7.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.742 * [taylor]: Taking taylor expansion of (hypot z (hypot x y)) in z
7.742 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (hypot x y) (hypot x y))))
7.742 * [taylor]: Taking taylor expansion of (+ (* z z) (* (hypot x y) (hypot x y))) in z
7.742 * [taylor]: Taking taylor expansion of (* z z) in z
7.742 * [taylor]: Taking taylor expansion of z in z
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 1 into 1
7.742 * [taylor]: Taking taylor expansion of z in z
7.742 * [backup-simplify]: Simplify 0 into 0
7.742 * [backup-simplify]: Simplify 1 into 1
7.742 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
7.742 * [taylor]: Taking taylor expansion of (hypot x y) in z
7.742 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.742 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
7.742 * [taylor]: Taking taylor expansion of (* x x) in z
7.742 * [taylor]: Taking taylor expansion of x in z
7.742 * [backup-simplify]: Simplify x into x
7.742 * [taylor]: Taking taylor expansion of x in z
7.742 * [backup-simplify]: Simplify x into x
7.742 * [taylor]: Taking taylor expansion of (* y y) in z
7.742 * [taylor]: Taking taylor expansion of y in z
7.742 * [backup-simplify]: Simplify y into y
7.742 * [taylor]: Taking taylor expansion of y in z
7.742 * [backup-simplify]: Simplify y into y
7.742 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.742 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.743 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.743 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.743 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.743 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.743 * [backup-simplify]: Simplify (+ 0 0) into 0
7.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.744 * [taylor]: Taking taylor expansion of (hypot x y) in z
7.744 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.744 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
7.744 * [taylor]: Taking taylor expansion of (* x x) in z
7.744 * [taylor]: Taking taylor expansion of x in z
7.744 * [backup-simplify]: Simplify x into x
7.744 * [taylor]: Taking taylor expansion of x in z
7.744 * [backup-simplify]: Simplify x into x
7.744 * [taylor]: Taking taylor expansion of (* y y) in z
7.744 * [taylor]: Taking taylor expansion of y in z
7.744 * [backup-simplify]: Simplify y into y
7.744 * [taylor]: Taking taylor expansion of y in z
7.744 * [backup-simplify]: Simplify y into y
7.744 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.744 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.744 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.744 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.745 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.745 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.745 * [backup-simplify]: Simplify (+ 0 0) into 0
7.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.746 * [backup-simplify]: Simplify (* 0 0) into 0
7.746 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
7.746 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
7.746 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.747 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.747 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.748 * [backup-simplify]: Simplify (+ 0 0) into 0
7.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.748 * [taylor]: Taking taylor expansion of (hypot z (hypot x y)) in z
7.748 * [taylor]: Rewrote expression to (sqrt (+ (* z z) (* (hypot x y) (hypot x y))))
7.748 * [taylor]: Taking taylor expansion of (+ (* z z) (* (hypot x y) (hypot x y))) in z
7.748 * [taylor]: Taking taylor expansion of (* z z) in z
7.748 * [taylor]: Taking taylor expansion of z in z
7.748 * [backup-simplify]: Simplify 0 into 0
7.748 * [backup-simplify]: Simplify 1 into 1
7.748 * [taylor]: Taking taylor expansion of z in z
7.748 * [backup-simplify]: Simplify 0 into 0
7.748 * [backup-simplify]: Simplify 1 into 1
7.748 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
7.748 * [taylor]: Taking taylor expansion of (hypot x y) in z
7.749 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.749 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
7.749 * [taylor]: Taking taylor expansion of (* x x) in z
7.749 * [taylor]: Taking taylor expansion of x in z
7.749 * [backup-simplify]: Simplify x into x
7.749 * [taylor]: Taking taylor expansion of x in z
7.749 * [backup-simplify]: Simplify x into x
7.749 * [taylor]: Taking taylor expansion of (* y y) in z
7.749 * [taylor]: Taking taylor expansion of y in z
7.749 * [backup-simplify]: Simplify y into y
7.749 * [taylor]: Taking taylor expansion of y in z
7.749 * [backup-simplify]: Simplify y into y
7.749 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.749 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.749 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.749 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.749 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.749 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.750 * [backup-simplify]: Simplify (+ 0 0) into 0
7.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.750 * [taylor]: Taking taylor expansion of (hypot x y) in z
7.750 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.750 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
7.750 * [taylor]: Taking taylor expansion of (* x x) in z
7.750 * [taylor]: Taking taylor expansion of x in z
7.750 * [backup-simplify]: Simplify x into x
7.750 * [taylor]: Taking taylor expansion of x in z
7.750 * [backup-simplify]: Simplify x into x
7.750 * [taylor]: Taking taylor expansion of (* y y) in z
7.750 * [taylor]: Taking taylor expansion of y in z
7.750 * [backup-simplify]: Simplify y into y
7.750 * [taylor]: Taking taylor expansion of y in z
7.750 * [backup-simplify]: Simplify y into y
7.751 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.751 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.751 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.751 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.751 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.751 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.751 * [backup-simplify]: Simplify (+ 0 0) into 0
7.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.752 * [backup-simplify]: Simplify (* 0 0) into 0
7.752 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
7.753 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow y 2))) into (+ (pow x 2) (pow y 2))
7.753 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.753 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.754 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.754 * [backup-simplify]: Simplify (+ 0 0) into 0
7.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.755 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
7.755 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.755 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.755 * [taylor]: Taking taylor expansion of x in x
7.755 * [backup-simplify]: Simplify 0 into 0
7.755 * [backup-simplify]: Simplify 1 into 1
7.755 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.755 * [taylor]: Taking taylor expansion of y in x
7.755 * [backup-simplify]: Simplify y into y
7.755 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.755 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.755 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.755 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.756 * [backup-simplify]: Simplify (+ 0 0) into 0
7.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.756 * [taylor]: Taking taylor expansion of y in y
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 1 into 1
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [taylor]: Taking taylor expansion of 0 in x
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [taylor]: Taking taylor expansion of 0 in y
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [taylor]: Taking taylor expansion of 0 in y
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 0 into 0
7.756 * [backup-simplify]: Simplify 1 into 1
7.757 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.757 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.758 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.758 * [backup-simplify]: Simplify (+ 0 0) into 0
7.759 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.759 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.759 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.760 * [backup-simplify]: Simplify (+ 0 0) into 0
7.760 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.761 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow x 2) (pow y 2)))))) into 0
7.762 * [backup-simplify]: Simplify (+ 1 0) into 1
7.762 * [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)))))
7.762 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in x
7.762 * [taylor]: Taking taylor expansion of 1/2 in x
7.762 * [backup-simplify]: Simplify 1/2 into 1/2
7.762 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in x
7.762 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in x
7.762 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
7.763 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.763 * [taylor]: Taking taylor expansion of x in x
7.763 * [backup-simplify]: Simplify 0 into 0
7.763 * [backup-simplify]: Simplify 1 into 1
7.763 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.763 * [taylor]: Taking taylor expansion of y in x
7.763 * [backup-simplify]: Simplify y into y
7.763 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.763 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.763 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.763 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y 2))) into (/ 1 y)
7.763 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.763 * [backup-simplify]: Simplify (+ 0 0) into 0
7.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y 2))))) into 0
7.764 * [backup-simplify]: Simplify (* 1/2 (/ 1 y)) into (/ 1/2 y)
7.764 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
7.764 * [taylor]: Taking taylor expansion of 1/2 in y
7.764 * [backup-simplify]: Simplify 1/2 into 1/2
7.764 * [taylor]: Taking taylor expansion of y in y
7.764 * [backup-simplify]: Simplify 0 into 0
7.764 * [backup-simplify]: Simplify 1 into 1
7.765 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.765 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.765 * [backup-simplify]: Simplify 0 into 0
7.765 * [taylor]: Taking taylor expansion of 0 in y
7.765 * [backup-simplify]: Simplify 0 into 0
7.765 * [backup-simplify]: Simplify 0 into 0
7.766 * [backup-simplify]: Simplify (* 1 1) into 1
7.766 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.767 * [backup-simplify]: Simplify (+ 1 0) into 1
7.767 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
7.767 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
7.767 * [taylor]: Taking taylor expansion of 1/2 in y
7.767 * [backup-simplify]: Simplify 1/2 into 1/2
7.767 * [taylor]: Taking taylor expansion of y in y
7.767 * [backup-simplify]: Simplify 0 into 0
7.767 * [backup-simplify]: Simplify 1 into 1
7.768 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.768 * [backup-simplify]: Simplify 0 into 0
7.768 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify 0 into 0
7.769 * [backup-simplify]: Simplify (* 1 (* y (* 1 1))) into y
7.769 * [backup-simplify]: Simplify (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) into (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y)))
7.769 * [approximate]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in (z x y) around 0
7.769 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in y
7.769 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))
7.769 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in y
7.769 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
7.769 * [taylor]: Taking taylor expansion of (/ 1 z) in y
7.769 * [taylor]: Taking taylor expansion of z in y
7.769 * [backup-simplify]: Simplify z into z
7.769 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
7.770 * [taylor]: Taking taylor expansion of (/ 1 z) in y
7.770 * [taylor]: Taking taylor expansion of z in y
7.770 * [backup-simplify]: Simplify z into z
7.770 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
7.770 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
7.770 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
7.770 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.770 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
7.770 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
7.770 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.770 * [taylor]: Taking taylor expansion of x in y
7.770 * [backup-simplify]: Simplify x into x
7.770 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.770 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.770 * [taylor]: Taking taylor expansion of x in y
7.770 * [backup-simplify]: Simplify x into x
7.770 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.770 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
7.770 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.770 * [taylor]: Taking taylor expansion of y in y
7.770 * [backup-simplify]: Simplify 0 into 0
7.770 * [backup-simplify]: Simplify 1 into 1
7.770 * [backup-simplify]: Simplify (/ 1 1) into 1
7.770 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.770 * [taylor]: Taking taylor expansion of y in y
7.770 * [backup-simplify]: Simplify 0 into 0
7.770 * [backup-simplify]: Simplify 1 into 1
7.771 * [backup-simplify]: Simplify (/ 1 1) into 1
7.771 * [backup-simplify]: Simplify (* 1 1) into 1
7.771 * [backup-simplify]: Simplify (+ 0 1) into 1
7.771 * [backup-simplify]: Simplify (sqrt 1) into 1
7.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.777 * [backup-simplify]: Simplify (+ 0 0) into 0
7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.777 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
7.777 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.777 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
7.777 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
7.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.777 * [taylor]: Taking taylor expansion of x in y
7.777 * [backup-simplify]: Simplify x into x
7.777 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.777 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.777 * [taylor]: Taking taylor expansion of x in y
7.777 * [backup-simplify]: Simplify x into x
7.777 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.777 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
7.777 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.777 * [taylor]: Taking taylor expansion of y in y
7.777 * [backup-simplify]: Simplify 0 into 0
7.777 * [backup-simplify]: Simplify 1 into 1
7.778 * [backup-simplify]: Simplify (/ 1 1) into 1
7.778 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.778 * [taylor]: Taking taylor expansion of y in y
7.778 * [backup-simplify]: Simplify 0 into 0
7.778 * [backup-simplify]: Simplify 1 into 1
7.778 * [backup-simplify]: Simplify (/ 1 1) into 1
7.778 * [backup-simplify]: Simplify (* 1 1) into 1
7.779 * [backup-simplify]: Simplify (+ 0 1) into 1
7.779 * [backup-simplify]: Simplify (sqrt 1) into 1
7.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.780 * [backup-simplify]: Simplify (+ 0 0) into 0
7.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.781 * [backup-simplify]: Simplify (* 1 1) into 1
7.781 * [backup-simplify]: Simplify (+ 0 1) into 1
7.781 * [backup-simplify]: Simplify (sqrt 1) into 1
7.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.782 * [backup-simplify]: Simplify (+ 0 0) into 0
7.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.782 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in x
7.782 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))
7.782 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in x
7.783 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
7.783 * [taylor]: Taking taylor expansion of (/ 1 z) in x
7.783 * [taylor]: Taking taylor expansion of z in x
7.783 * [backup-simplify]: Simplify z into z
7.783 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
7.783 * [taylor]: Taking taylor expansion of (/ 1 z) in x
7.783 * [taylor]: Taking taylor expansion of z in x
7.783 * [backup-simplify]: Simplify z into z
7.783 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
7.783 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
7.783 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
7.783 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.783 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
7.783 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.783 * [taylor]: Taking taylor expansion of x in x
7.783 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify 1 into 1
7.783 * [backup-simplify]: Simplify (/ 1 1) into 1
7.783 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.783 * [taylor]: Taking taylor expansion of x in x
7.783 * [backup-simplify]: Simplify 0 into 0
7.783 * [backup-simplify]: Simplify 1 into 1
7.783 * [backup-simplify]: Simplify (/ 1 1) into 1
7.783 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
7.783 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.783 * [taylor]: Taking taylor expansion of y in x
7.784 * [backup-simplify]: Simplify y into y
7.784 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.784 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.784 * [taylor]: Taking taylor expansion of y in x
7.784 * [backup-simplify]: Simplify y into y
7.784 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.784 * [backup-simplify]: Simplify (* 1 1) into 1
7.784 * [backup-simplify]: Simplify (+ 1 0) into 1
7.784 * [backup-simplify]: Simplify (sqrt 1) into 1
7.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.786 * [backup-simplify]: Simplify (+ 0 0) into 0
7.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.786 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
7.786 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.786 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
7.786 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.786 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.786 * [taylor]: Taking taylor expansion of x in x
7.786 * [backup-simplify]: Simplify 0 into 0
7.786 * [backup-simplify]: Simplify 1 into 1
7.787 * [backup-simplify]: Simplify (/ 1 1) into 1
7.787 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.787 * [taylor]: Taking taylor expansion of x in x
7.787 * [backup-simplify]: Simplify 0 into 0
7.787 * [backup-simplify]: Simplify 1 into 1
7.787 * [backup-simplify]: Simplify (/ 1 1) into 1
7.787 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
7.787 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.787 * [taylor]: Taking taylor expansion of y in x
7.787 * [backup-simplify]: Simplify y into y
7.787 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.787 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.787 * [taylor]: Taking taylor expansion of y in x
7.787 * [backup-simplify]: Simplify y into y
7.787 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.787 * [backup-simplify]: Simplify (* 1 1) into 1
7.788 * [backup-simplify]: Simplify (+ 1 0) into 1
7.788 * [backup-simplify]: Simplify (sqrt 1) into 1
7.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.789 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.789 * [backup-simplify]: Simplify (+ 0 0) into 0
7.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.790 * [backup-simplify]: Simplify (* 1 1) into 1
7.790 * [backup-simplify]: Simplify (+ 0 1) into 1
7.791 * [backup-simplify]: Simplify (sqrt 1) into 1
7.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.791 * [backup-simplify]: Simplify (+ 0 0) into 0
7.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.792 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in z
7.792 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))
7.792 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in z
7.792 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
7.792 * [taylor]: Taking taylor expansion of (/ 1 z) in z
7.792 * [taylor]: Taking taylor expansion of z in z
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 1 into 1
7.792 * [backup-simplify]: Simplify (/ 1 1) into 1
7.792 * [taylor]: Taking taylor expansion of (/ 1 z) in z
7.792 * [taylor]: Taking taylor expansion of z in z
7.792 * [backup-simplify]: Simplify 0 into 0
7.792 * [backup-simplify]: Simplify 1 into 1
7.792 * [backup-simplify]: Simplify (/ 1 1) into 1
7.792 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
7.792 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
7.793 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.793 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
7.793 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
7.793 * [taylor]: Taking taylor expansion of (/ 1 x) in z
7.793 * [taylor]: Taking taylor expansion of x in z
7.793 * [backup-simplify]: Simplify x into x
7.793 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.793 * [taylor]: Taking taylor expansion of (/ 1 x) in z
7.793 * [taylor]: Taking taylor expansion of x in z
7.793 * [backup-simplify]: Simplify x into x
7.793 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.793 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
7.793 * [taylor]: Taking taylor expansion of (/ 1 y) in z
7.793 * [taylor]: Taking taylor expansion of y in z
7.793 * [backup-simplify]: Simplify y into y
7.793 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.793 * [taylor]: Taking taylor expansion of (/ 1 y) in z
7.793 * [taylor]: Taking taylor expansion of y in z
7.793 * [backup-simplify]: Simplify y into y
7.793 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.793 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
7.793 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
7.793 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.793 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.794 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
7.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.794 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
7.794 * [backup-simplify]: Simplify (+ 0 0) into 0
7.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.794 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
7.794 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.794 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
7.794 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
7.794 * [taylor]: Taking taylor expansion of (/ 1 x) in z
7.795 * [taylor]: Taking taylor expansion of x in z
7.795 * [backup-simplify]: Simplify x into x
7.795 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.795 * [taylor]: Taking taylor expansion of (/ 1 x) in z
7.795 * [taylor]: Taking taylor expansion of x in z
7.795 * [backup-simplify]: Simplify x into x
7.795 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.795 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
7.795 * [taylor]: Taking taylor expansion of (/ 1 y) in z
7.795 * [taylor]: Taking taylor expansion of y in z
7.795 * [backup-simplify]: Simplify y into y
7.795 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.795 * [taylor]: Taking taylor expansion of (/ 1 y) in z
7.795 * [taylor]: Taking taylor expansion of y in z
7.795 * [backup-simplify]: Simplify y into y
7.795 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.795 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
7.795 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
7.795 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.795 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.796 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
7.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.796 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
7.796 * [backup-simplify]: Simplify (+ 0 0) into 0
7.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.796 * [backup-simplify]: Simplify (* 1 1) into 1
7.797 * [backup-simplify]: Simplify (+ 1 0) into 1
7.797 * [backup-simplify]: Simplify (sqrt 1) into 1
7.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.798 * [backup-simplify]: Simplify (+ 0 0) into 0
7.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.799 * [taylor]: Taking taylor expansion of (hypot (/ 1 z) (hypot (/ 1 x) (/ 1 y))) in z
7.799 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))))
7.799 * [taylor]: Taking taylor expansion of (+ (* (/ 1 z) (/ 1 z)) (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y)))) in z
7.799 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
7.799 * [taylor]: Taking taylor expansion of (/ 1 z) in z
7.799 * [taylor]: Taking taylor expansion of z in z
7.799 * [backup-simplify]: Simplify 0 into 0
7.799 * [backup-simplify]: Simplify 1 into 1
7.799 * [backup-simplify]: Simplify (/ 1 1) into 1
7.799 * [taylor]: Taking taylor expansion of (/ 1 z) in z
7.799 * [taylor]: Taking taylor expansion of z in z
7.799 * [backup-simplify]: Simplify 0 into 0
7.799 * [backup-simplify]: Simplify 1 into 1
7.800 * [backup-simplify]: Simplify (/ 1 1) into 1
7.800 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
7.800 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
7.800 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.800 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
7.800 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
7.800 * [taylor]: Taking taylor expansion of (/ 1 x) in z
7.800 * [taylor]: Taking taylor expansion of x in z
7.800 * [backup-simplify]: Simplify x into x
7.800 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.800 * [taylor]: Taking taylor expansion of (/ 1 x) in z
7.800 * [taylor]: Taking taylor expansion of x in z
7.800 * [backup-simplify]: Simplify x into x
7.800 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.800 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
7.800 * [taylor]: Taking taylor expansion of (/ 1 y) in z
7.800 * [taylor]: Taking taylor expansion of y in z
7.800 * [backup-simplify]: Simplify y into y
7.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.800 * [taylor]: Taking taylor expansion of (/ 1 y) in z
7.800 * [taylor]: Taking taylor expansion of y in z
7.800 * [backup-simplify]: Simplify y into y
7.800 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.800 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
7.800 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
7.800 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.801 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.801 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
7.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.801 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
7.801 * [backup-simplify]: Simplify (+ 0 0) into 0
7.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.802 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
7.802 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.802 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
7.802 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
7.802 * [taylor]: Taking taylor expansion of (/ 1 x) in z
7.802 * [taylor]: Taking taylor expansion of x in z
7.802 * [backup-simplify]: Simplify x into x
7.802 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.802 * [taylor]: Taking taylor expansion of (/ 1 x) in z
7.802 * [taylor]: Taking taylor expansion of x in z
7.802 * [backup-simplify]: Simplify x into x
7.802 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.802 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
7.802 * [taylor]: Taking taylor expansion of (/ 1 y) in z
7.802 * [taylor]: Taking taylor expansion of y in z
7.802 * [backup-simplify]: Simplify y into y
7.802 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.802 * [taylor]: Taking taylor expansion of (/ 1 y) in z
7.802 * [taylor]: Taking taylor expansion of y in z
7.802 * [backup-simplify]: Simplify y into y
7.802 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.802 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
7.802 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
7.802 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.803 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
7.803 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
7.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.803 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
7.803 * [backup-simplify]: Simplify (+ 0 0) into 0
7.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.804 * [backup-simplify]: Simplify (* 1 1) into 1
7.804 * [backup-simplify]: Simplify (+ 1 0) into 1
7.804 * [backup-simplify]: Simplify (sqrt 1) into 1
7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.806 * [backup-simplify]: Simplify (+ 0 0) into 0
7.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.806 * [taylor]: Taking taylor expansion of 1 in x
7.806 * [backup-simplify]: Simplify 1 into 1
7.806 * [taylor]: Taking taylor expansion of 0 in x
7.806 * [backup-simplify]: Simplify 0 into 0
7.806 * [taylor]: Taking taylor expansion of 1 in y
7.806 * [backup-simplify]: Simplify 1 into 1
7.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.808 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.808 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.809 * [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))))
7.809 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.809 * [taylor]: Taking taylor expansion of 1/2 in x
7.810 * [backup-simplify]: Simplify 1/2 into 1/2
7.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.810 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.810 * [taylor]: Taking taylor expansion of x in x
7.810 * [backup-simplify]: Simplify 0 into 0
7.810 * [backup-simplify]: Simplify 1 into 1
7.810 * [backup-simplify]: Simplify (* 1 1) into 1
7.810 * [backup-simplify]: Simplify (/ 1 1) into 1
7.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.810 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.810 * [taylor]: Taking taylor expansion of y in x
7.810 * [backup-simplify]: Simplify y into y
7.810 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.810 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.811 * [backup-simplify]: Simplify (+ 0 0) into 0
7.812 * [backup-simplify]: Simplify (+ 1 0) into 1
7.812 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.812 * [taylor]: Taking taylor expansion of 0 in y
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [taylor]: Taking taylor expansion of 0 in y
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [taylor]: Taking taylor expansion of 0 in y
7.812 * [backup-simplify]: Simplify 0 into 0
7.812 * [backup-simplify]: Simplify 1 into 1
7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.814 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.815 * [backup-simplify]: Simplify (+ 0 0) into 0
7.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
7.815 * [taylor]: Taking taylor expansion of 0 in x
7.815 * [backup-simplify]: Simplify 0 into 0
7.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.817 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
7.817 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
7.817 * [taylor]: Taking taylor expansion of 1/2 in y
7.817 * [backup-simplify]: Simplify 1/2 into 1/2
7.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.817 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.817 * [taylor]: Taking taylor expansion of y in y
7.817 * [backup-simplify]: Simplify 0 into 0
7.817 * [backup-simplify]: Simplify 1 into 1
7.817 * [backup-simplify]: Simplify (* 1 1) into 1
7.818 * [backup-simplify]: Simplify (/ 1 1) into 1
7.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [taylor]: Taking taylor expansion of 0 in y
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [taylor]: Taking taylor expansion of 0 in y
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 0 into 0
7.819 * [backup-simplify]: Simplify 0 into 0
7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.821 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
7.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.822 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
7.822 * [backup-simplify]: Simplify (+ 0 0) into 0
7.823 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.823 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (+ (* 0 0) (* 0 (/ 1 x)))) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.823 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.824 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
7.824 * [backup-simplify]: Simplify (+ 0 0) into 0
7.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.825 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) into 0
7.825 * [backup-simplify]: Simplify (+ 0 0) into 0
7.826 * [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))))))
7.826 * [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
7.826 * [taylor]: Taking taylor expansion of -1/2 in x
7.826 * [backup-simplify]: Simplify -1/2 into -1/2
7.826 * [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
7.826 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
7.826 * [taylor]: Taking taylor expansion of 1/2 in x
7.826 * [backup-simplify]: Simplify 1/2 into 1/2
7.826 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
7.827 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
7.827 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.827 * [taylor]: Taking taylor expansion of x in x
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.827 * [taylor]: Taking taylor expansion of y in x
7.827 * [backup-simplify]: Simplify y into y
7.827 * [backup-simplify]: Simplify (* 1 1) into 1
7.827 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.827 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
7.827 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.827 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
7.827 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
7.827 * [taylor]: Taking taylor expansion of 1/4 in x
7.827 * [backup-simplify]: Simplify 1/4 into 1/4
7.827 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.827 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.827 * [taylor]: Taking taylor expansion of x in x
7.827 * [backup-simplify]: Simplify 0 into 0
7.827 * [backup-simplify]: Simplify 1 into 1
7.827 * [backup-simplify]: Simplify (* 1 1) into 1
7.828 * [backup-simplify]: Simplify (* 1 1) into 1
7.828 * [backup-simplify]: Simplify (/ 1 1) into 1
7.828 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
7.828 * [taylor]: Taking taylor expansion of 1/4 in x
7.828 * [backup-simplify]: Simplify 1/4 into 1/4
7.828 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.828 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.828 * [taylor]: Taking taylor expansion of y in x
7.828 * [backup-simplify]: Simplify y into y
7.828 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.828 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.828 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.828 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
7.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
7.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.833 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.834 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.837 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.838 * [backup-simplify]: Simplify (+ 0 0) into 0
7.838 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
7.839 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.839 * [backup-simplify]: Simplify (+ 0 0) into 0
7.839 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
7.839 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.840 * [backup-simplify]: Simplify (+ 0 0) into 0
7.840 * [backup-simplify]: Simplify (+ 0 0) into 0
7.840 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.840 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.841 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.841 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.841 * [taylor]: Taking taylor expansion of 0 in y
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [taylor]: Taking taylor expansion of 0 in y
7.841 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.843 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.843 * [backup-simplify]: Simplify (+ 0 0) into 0
7.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
7.844 * [taylor]: Taking taylor expansion of 0 in y
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [taylor]: Taking taylor expansion of 0 in y
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [taylor]: Taking taylor expansion of 0 in y
7.844 * [backup-simplify]: Simplify 0 into 0
7.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.845 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
7.846 * [backup-simplify]: Simplify (hypot (/ 1 (- z)) (hypot (/ 1 (- x)) (/ 1 (- y)))) into (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y)))
7.846 * [approximate]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in (z x y) around 0
7.846 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in y
7.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))))
7.846 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))) in y
7.846 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
7.846 * [taylor]: Taking taylor expansion of (/ -1 z) in y
7.846 * [taylor]: Taking taylor expansion of -1 in y
7.846 * [backup-simplify]: Simplify -1 into -1
7.846 * [taylor]: Taking taylor expansion of z in y
7.846 * [backup-simplify]: Simplify z into z
7.846 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
7.846 * [taylor]: Taking taylor expansion of (/ -1 z) in y
7.846 * [taylor]: Taking taylor expansion of -1 in y
7.846 * [backup-simplify]: Simplify -1 into -1
7.846 * [taylor]: Taking taylor expansion of z in y
7.846 * [backup-simplify]: Simplify z into z
7.846 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
7.846 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
7.846 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
7.846 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.846 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
7.846 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
7.846 * [taylor]: Taking taylor expansion of (/ -1 x) in y
7.846 * [taylor]: Taking taylor expansion of -1 in y
7.846 * [backup-simplify]: Simplify -1 into -1
7.846 * [taylor]: Taking taylor expansion of x in y
7.846 * [backup-simplify]: Simplify x into x
7.846 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.846 * [taylor]: Taking taylor expansion of (/ -1 x) in y
7.846 * [taylor]: Taking taylor expansion of -1 in y
7.846 * [backup-simplify]: Simplify -1 into -1
7.846 * [taylor]: Taking taylor expansion of x in y
7.846 * [backup-simplify]: Simplify x into x
7.846 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.846 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
7.847 * [taylor]: Taking taylor expansion of (/ -1 y) in y
7.847 * [taylor]: Taking taylor expansion of -1 in y
7.847 * [backup-simplify]: Simplify -1 into -1
7.847 * [taylor]: Taking taylor expansion of y in y
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 1 into 1
7.847 * [backup-simplify]: Simplify (/ -1 1) into -1
7.847 * [taylor]: Taking taylor expansion of (/ -1 y) in y
7.847 * [taylor]: Taking taylor expansion of -1 in y
7.847 * [backup-simplify]: Simplify -1 into -1
7.847 * [taylor]: Taking taylor expansion of y in y
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 1 into 1
7.847 * [backup-simplify]: Simplify (/ -1 1) into -1
7.847 * [backup-simplify]: Simplify (* -1 -1) into 1
7.848 * [backup-simplify]: Simplify (+ 0 1) into 1
7.848 * [backup-simplify]: Simplify (sqrt 1) into 1
7.848 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.849 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.849 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.850 * [backup-simplify]: Simplify (+ 0 0) into 0
7.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.850 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
7.850 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.850 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
7.850 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
7.850 * [taylor]: Taking taylor expansion of (/ -1 x) in y
7.850 * [taylor]: Taking taylor expansion of -1 in y
7.850 * [backup-simplify]: Simplify -1 into -1
7.850 * [taylor]: Taking taylor expansion of x in y
7.850 * [backup-simplify]: Simplify x into x
7.850 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.850 * [taylor]: Taking taylor expansion of (/ -1 x) in y
7.850 * [taylor]: Taking taylor expansion of -1 in y
7.850 * [backup-simplify]: Simplify -1 into -1
7.850 * [taylor]: Taking taylor expansion of x in y
7.850 * [backup-simplify]: Simplify x into x
7.850 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.850 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
7.850 * [taylor]: Taking taylor expansion of (/ -1 y) in y
7.850 * [taylor]: Taking taylor expansion of -1 in y
7.850 * [backup-simplify]: Simplify -1 into -1
7.851 * [taylor]: Taking taylor expansion of y in y
7.851 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 1 into 1
7.851 * [backup-simplify]: Simplify (/ -1 1) into -1
7.851 * [taylor]: Taking taylor expansion of (/ -1 y) in y
7.851 * [taylor]: Taking taylor expansion of -1 in y
7.851 * [backup-simplify]: Simplify -1 into -1
7.851 * [taylor]: Taking taylor expansion of y in y
7.851 * [backup-simplify]: Simplify 0 into 0
7.851 * [backup-simplify]: Simplify 1 into 1
7.851 * [backup-simplify]: Simplify (/ -1 1) into -1
7.851 * [backup-simplify]: Simplify (* -1 -1) into 1
7.852 * [backup-simplify]: Simplify (+ 0 1) into 1
7.852 * [backup-simplify]: Simplify (sqrt 1) into 1
7.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.853 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.853 * [backup-simplify]: Simplify (+ 0 0) into 0
7.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.854 * [backup-simplify]: Simplify (* 1 1) into 1
7.854 * [backup-simplify]: Simplify (+ 0 1) into 1
7.855 * [backup-simplify]: Simplify (sqrt 1) into 1
7.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.855 * [backup-simplify]: Simplify (+ 0 0) into 0
7.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.856 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in x
7.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))))
7.856 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))) in x
7.856 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
7.856 * [taylor]: Taking taylor expansion of (/ -1 z) in x
7.856 * [taylor]: Taking taylor expansion of -1 in x
7.856 * [backup-simplify]: Simplify -1 into -1
7.856 * [taylor]: Taking taylor expansion of z in x
7.856 * [backup-simplify]: Simplify z into z
7.856 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
7.856 * [taylor]: Taking taylor expansion of (/ -1 z) in x
7.856 * [taylor]: Taking taylor expansion of -1 in x
7.856 * [backup-simplify]: Simplify -1 into -1
7.856 * [taylor]: Taking taylor expansion of z in x
7.856 * [backup-simplify]: Simplify z into z
7.856 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
7.856 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
7.856 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
7.856 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.856 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
7.856 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
7.856 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.856 * [taylor]: Taking taylor expansion of -1 in x
7.856 * [backup-simplify]: Simplify -1 into -1
7.856 * [taylor]: Taking taylor expansion of x in x
7.856 * [backup-simplify]: Simplify 0 into 0
7.856 * [backup-simplify]: Simplify 1 into 1
7.857 * [backup-simplify]: Simplify (/ -1 1) into -1
7.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.857 * [taylor]: Taking taylor expansion of -1 in x
7.857 * [backup-simplify]: Simplify -1 into -1
7.857 * [taylor]: Taking taylor expansion of x in x
7.857 * [backup-simplify]: Simplify 0 into 0
7.857 * [backup-simplify]: Simplify 1 into 1
7.857 * [backup-simplify]: Simplify (/ -1 1) into -1
7.857 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
7.857 * [taylor]: Taking taylor expansion of (/ -1 y) in x
7.857 * [taylor]: Taking taylor expansion of -1 in x
7.857 * [backup-simplify]: Simplify -1 into -1
7.857 * [taylor]: Taking taylor expansion of y in x
7.857 * [backup-simplify]: Simplify y into y
7.857 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.857 * [taylor]: Taking taylor expansion of (/ -1 y) in x
7.857 * [taylor]: Taking taylor expansion of -1 in x
7.857 * [backup-simplify]: Simplify -1 into -1
7.857 * [taylor]: Taking taylor expansion of y in x
7.857 * [backup-simplify]: Simplify y into y
7.857 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.858 * [backup-simplify]: Simplify (* -1 -1) into 1
7.858 * [backup-simplify]: Simplify (+ 1 0) into 1
7.858 * [backup-simplify]: Simplify (sqrt 1) into 1
7.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.859 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.860 * [backup-simplify]: Simplify (+ 0 0) into 0
7.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.860 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
7.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.860 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
7.860 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
7.860 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.860 * [taylor]: Taking taylor expansion of -1 in x
7.860 * [backup-simplify]: Simplify -1 into -1
7.860 * [taylor]: Taking taylor expansion of x in x
7.860 * [backup-simplify]: Simplify 0 into 0
7.860 * [backup-simplify]: Simplify 1 into 1
7.861 * [backup-simplify]: Simplify (/ -1 1) into -1
7.861 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.861 * [taylor]: Taking taylor expansion of -1 in x
7.861 * [backup-simplify]: Simplify -1 into -1
7.861 * [taylor]: Taking taylor expansion of x in x
7.861 * [backup-simplify]: Simplify 0 into 0
7.861 * [backup-simplify]: Simplify 1 into 1
7.861 * [backup-simplify]: Simplify (/ -1 1) into -1
7.861 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
7.861 * [taylor]: Taking taylor expansion of (/ -1 y) in x
7.861 * [taylor]: Taking taylor expansion of -1 in x
7.861 * [backup-simplify]: Simplify -1 into -1
7.861 * [taylor]: Taking taylor expansion of y in x
7.861 * [backup-simplify]: Simplify y into y
7.861 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.861 * [taylor]: Taking taylor expansion of (/ -1 y) in x
7.861 * [taylor]: Taking taylor expansion of -1 in x
7.861 * [backup-simplify]: Simplify -1 into -1
7.861 * [taylor]: Taking taylor expansion of y in x
7.861 * [backup-simplify]: Simplify y into y
7.861 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.862 * [backup-simplify]: Simplify (* -1 -1) into 1
7.862 * [backup-simplify]: Simplify (+ 1 0) into 1
7.862 * [backup-simplify]: Simplify (sqrt 1) into 1
7.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.863 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.864 * [backup-simplify]: Simplify (+ 0 0) into 0
7.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.864 * [backup-simplify]: Simplify (* 1 1) into 1
7.865 * [backup-simplify]: Simplify (+ 0 1) into 1
7.865 * [backup-simplify]: Simplify (sqrt 1) into 1
7.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.865 * [backup-simplify]: Simplify (+ 0 0) into 0
7.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.866 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in z
7.866 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))))
7.866 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))) in z
7.866 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
7.866 * [taylor]: Taking taylor expansion of (/ -1 z) in z
7.866 * [taylor]: Taking taylor expansion of -1 in z
7.866 * [backup-simplify]: Simplify -1 into -1
7.866 * [taylor]: Taking taylor expansion of z in z
7.866 * [backup-simplify]: Simplify 0 into 0
7.866 * [backup-simplify]: Simplify 1 into 1
7.866 * [backup-simplify]: Simplify (/ -1 1) into -1
7.866 * [taylor]: Taking taylor expansion of (/ -1 z) in z
7.866 * [taylor]: Taking taylor expansion of -1 in z
7.866 * [backup-simplify]: Simplify -1 into -1
7.867 * [taylor]: Taking taylor expansion of z in z
7.867 * [backup-simplify]: Simplify 0 into 0
7.867 * [backup-simplify]: Simplify 1 into 1
7.867 * [backup-simplify]: Simplify (/ -1 1) into -1
7.867 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
7.867 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
7.867 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.867 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
7.867 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
7.867 * [taylor]: Taking taylor expansion of (/ -1 x) in z
7.867 * [taylor]: Taking taylor expansion of -1 in z
7.867 * [backup-simplify]: Simplify -1 into -1
7.867 * [taylor]: Taking taylor expansion of x in z
7.867 * [backup-simplify]: Simplify x into x
7.867 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.867 * [taylor]: Taking taylor expansion of (/ -1 x) in z
7.867 * [taylor]: Taking taylor expansion of -1 in z
7.867 * [backup-simplify]: Simplify -1 into -1
7.867 * [taylor]: Taking taylor expansion of x in z
7.867 * [backup-simplify]: Simplify x into x
7.867 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.867 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
7.867 * [taylor]: Taking taylor expansion of (/ -1 y) in z
7.867 * [taylor]: Taking taylor expansion of -1 in z
7.867 * [backup-simplify]: Simplify -1 into -1
7.867 * [taylor]: Taking taylor expansion of y in z
7.867 * [backup-simplify]: Simplify y into y
7.867 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.867 * [taylor]: Taking taylor expansion of (/ -1 y) in z
7.867 * [taylor]: Taking taylor expansion of -1 in z
7.867 * [backup-simplify]: Simplify -1 into -1
7.868 * [taylor]: Taking taylor expansion of y in z
7.868 * [backup-simplify]: Simplify y into y
7.868 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.868 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
7.868 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
7.868 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.868 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.868 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.868 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.868 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
7.868 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
7.868 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
7.869 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
7.872 * [backup-simplify]: Simplify (+ 0 0) into 0
7.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.873 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
7.873 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.873 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
7.873 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
7.873 * [taylor]: Taking taylor expansion of (/ -1 x) in z
7.873 * [taylor]: Taking taylor expansion of -1 in z
7.873 * [backup-simplify]: Simplify -1 into -1
7.873 * [taylor]: Taking taylor expansion of x in z
7.873 * [backup-simplify]: Simplify x into x
7.873 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.873 * [taylor]: Taking taylor expansion of (/ -1 x) in z
7.873 * [taylor]: Taking taylor expansion of -1 in z
7.873 * [backup-simplify]: Simplify -1 into -1
7.873 * [taylor]: Taking taylor expansion of x in z
7.873 * [backup-simplify]: Simplify x into x
7.873 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.873 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
7.873 * [taylor]: Taking taylor expansion of (/ -1 y) in z
7.873 * [taylor]: Taking taylor expansion of -1 in z
7.873 * [backup-simplify]: Simplify -1 into -1
7.873 * [taylor]: Taking taylor expansion of y in z
7.873 * [backup-simplify]: Simplify y into y
7.873 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.873 * [taylor]: Taking taylor expansion of (/ -1 y) in z
7.873 * [taylor]: Taking taylor expansion of -1 in z
7.873 * [backup-simplify]: Simplify -1 into -1
7.873 * [taylor]: Taking taylor expansion of y in z
7.873 * [backup-simplify]: Simplify y into y
7.874 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.874 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
7.874 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
7.874 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.874 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.874 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.874 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.874 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
7.874 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
7.875 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
7.875 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
7.875 * [backup-simplify]: Simplify (+ 0 0) into 0
7.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.876 * [backup-simplify]: Simplify (* -1 -1) into 1
7.876 * [backup-simplify]: Simplify (+ 1 0) into 1
7.876 * [backup-simplify]: Simplify (sqrt 1) into 1
7.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.877 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.878 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.878 * [backup-simplify]: Simplify (+ 0 0) into 0
7.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.879 * [taylor]: Taking taylor expansion of (hypot (/ -1 z) (hypot (/ -1 x) (/ -1 y))) in z
7.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))))
7.879 * [taylor]: Taking taylor expansion of (+ (* (/ -1 z) (/ -1 z)) (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y)))) in z
7.879 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
7.879 * [taylor]: Taking taylor expansion of (/ -1 z) in z
7.879 * [taylor]: Taking taylor expansion of -1 in z
7.879 * [backup-simplify]: Simplify -1 into -1
7.879 * [taylor]: Taking taylor expansion of z in z
7.879 * [backup-simplify]: Simplify 0 into 0
7.879 * [backup-simplify]: Simplify 1 into 1
7.879 * [backup-simplify]: Simplify (/ -1 1) into -1
7.879 * [taylor]: Taking taylor expansion of (/ -1 z) in z
7.879 * [taylor]: Taking taylor expansion of -1 in z
7.879 * [backup-simplify]: Simplify -1 into -1
7.879 * [taylor]: Taking taylor expansion of z in z
7.879 * [backup-simplify]: Simplify 0 into 0
7.879 * [backup-simplify]: Simplify 1 into 1
7.880 * [backup-simplify]: Simplify (/ -1 1) into -1
7.880 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
7.880 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
7.880 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.880 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
7.880 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
7.880 * [taylor]: Taking taylor expansion of (/ -1 x) in z
7.880 * [taylor]: Taking taylor expansion of -1 in z
7.880 * [backup-simplify]: Simplify -1 into -1
7.880 * [taylor]: Taking taylor expansion of x in z
7.880 * [backup-simplify]: Simplify x into x
7.880 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.880 * [taylor]: Taking taylor expansion of (/ -1 x) in z
7.880 * [taylor]: Taking taylor expansion of -1 in z
7.880 * [backup-simplify]: Simplify -1 into -1
7.880 * [taylor]: Taking taylor expansion of x in z
7.880 * [backup-simplify]: Simplify x into x
7.880 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.880 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
7.880 * [taylor]: Taking taylor expansion of (/ -1 y) in z
7.880 * [taylor]: Taking taylor expansion of -1 in z
7.880 * [backup-simplify]: Simplify -1 into -1
7.880 * [taylor]: Taking taylor expansion of y in z
7.880 * [backup-simplify]: Simplify y into y
7.880 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.880 * [taylor]: Taking taylor expansion of (/ -1 y) in z
7.880 * [taylor]: Taking taylor expansion of -1 in z
7.880 * [backup-simplify]: Simplify -1 into -1
7.880 * [taylor]: Taking taylor expansion of y in z
7.880 * [backup-simplify]: Simplify y into y
7.880 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.880 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
7.880 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
7.881 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.881 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.881 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.881 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.881 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
7.881 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
7.881 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
7.881 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
7.882 * [backup-simplify]: Simplify (+ 0 0) into 0
7.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
7.882 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.882 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
7.882 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
7.882 * [taylor]: Taking taylor expansion of (/ -1 x) in z
7.882 * [taylor]: Taking taylor expansion of -1 in z
7.882 * [backup-simplify]: Simplify -1 into -1
7.882 * [taylor]: Taking taylor expansion of x in z
7.882 * [backup-simplify]: Simplify x into x
7.882 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.882 * [taylor]: Taking taylor expansion of (/ -1 x) in z
7.882 * [taylor]: Taking taylor expansion of -1 in z
7.882 * [backup-simplify]: Simplify -1 into -1
7.882 * [taylor]: Taking taylor expansion of x in z
7.882 * [backup-simplify]: Simplify x into x
7.882 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.882 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
7.882 * [taylor]: Taking taylor expansion of (/ -1 y) in z
7.882 * [taylor]: Taking taylor expansion of -1 in z
7.882 * [backup-simplify]: Simplify -1 into -1
7.882 * [taylor]: Taking taylor expansion of y in z
7.882 * [backup-simplify]: Simplify y into y
7.882 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.882 * [taylor]: Taking taylor expansion of (/ -1 y) in z
7.882 * [taylor]: Taking taylor expansion of -1 in z
7.882 * [backup-simplify]: Simplify -1 into -1
7.883 * [taylor]: Taking taylor expansion of y in z
7.883 * [backup-simplify]: Simplify y into y
7.883 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.883 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
7.883 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
7.883 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.883 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.883 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.883 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
7.883 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
7.883 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
7.883 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
7.884 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
7.884 * [backup-simplify]: Simplify (+ 0 0) into 0
7.884 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.884 * [backup-simplify]: Simplify (* -1 -1) into 1
7.885 * [backup-simplify]: Simplify (+ 1 0) into 1
7.885 * [backup-simplify]: Simplify (sqrt 1) into 1
7.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.886 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.886 * [backup-simplify]: Simplify (+ 0 0) into 0
7.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.887 * [taylor]: Taking taylor expansion of 1 in x
7.887 * [backup-simplify]: Simplify 1 into 1
7.887 * [taylor]: Taking taylor expansion of 0 in x
7.887 * [backup-simplify]: Simplify 0 into 0
7.887 * [taylor]: Taking taylor expansion of 1 in y
7.887 * [backup-simplify]: Simplify 1 into 1
7.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.889 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.889 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.890 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.891 * [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))))
7.891 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
7.891 * [taylor]: Taking taylor expansion of 1/2 in x
7.891 * [backup-simplify]: Simplify 1/2 into 1/2
7.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
7.891 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.891 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.891 * [taylor]: Taking taylor expansion of x in x
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 1 into 1
7.891 * [backup-simplify]: Simplify (* 1 1) into 1
7.891 * [backup-simplify]: Simplify (/ 1 1) into 1
7.891 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.891 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.891 * [taylor]: Taking taylor expansion of y in x
7.891 * [backup-simplify]: Simplify y into y
7.892 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.892 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.892 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.893 * [backup-simplify]: Simplify (+ 0 0) into 0
7.894 * [backup-simplify]: Simplify (+ 1 0) into 1
7.894 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.894 * [taylor]: Taking taylor expansion of 0 in y
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [taylor]: Taking taylor expansion of 0 in y
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [taylor]: Taking taylor expansion of 0 in y
7.894 * [backup-simplify]: Simplify 0 into 0
7.894 * [backup-simplify]: Simplify 1 into 1
7.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
7.897 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.897 * [backup-simplify]: Simplify (+ 0 0) into 0
7.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
7.898 * [taylor]: Taking taylor expansion of 0 in x
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.899 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.899 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow y 2)))
7.899 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
7.899 * [taylor]: Taking taylor expansion of 1/2 in y
7.899 * [backup-simplify]: Simplify 1/2 into 1/2
7.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.899 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.899 * [taylor]: Taking taylor expansion of y in y
7.899 * [backup-simplify]: Simplify 0 into 0
7.899 * [backup-simplify]: Simplify 1 into 1
7.900 * [backup-simplify]: Simplify (* 1 1) into 1
7.900 * [backup-simplify]: Simplify (/ 1 1) into 1
7.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [taylor]: Taking taylor expansion of 0 in y
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [taylor]: Taking taylor expansion of 0 in y
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 0 into 0
7.901 * [backup-simplify]: Simplify 0 into 0
7.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
7.903 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.903 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.904 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
7.904 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.904 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.904 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
7.904 * [backup-simplify]: Simplify (+ 0 0) into 0
7.905 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.905 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.905 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
7.906 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (+ (* 0 0) (* 0 (/ -1 x)))) into 0
7.906 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.906 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
7.906 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
7.906 * [backup-simplify]: Simplify (+ 0 0) into 0
7.907 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
7.908 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))))) into 0
7.908 * [backup-simplify]: Simplify (+ 0 0) into 0
7.909 * [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))))))
7.909 * [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
7.909 * [taylor]: Taking taylor expansion of -1/2 in x
7.909 * [backup-simplify]: Simplify -1/2 into -1/2
7.909 * [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
7.909 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in x
7.909 * [taylor]: Taking taylor expansion of 1/2 in x
7.909 * [backup-simplify]: Simplify 1/2 into 1/2
7.909 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in x
7.909 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in x
7.909 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.909 * [taylor]: Taking taylor expansion of x in x
7.909 * [backup-simplify]: Simplify 0 into 0
7.909 * [backup-simplify]: Simplify 1 into 1
7.909 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.909 * [taylor]: Taking taylor expansion of y in x
7.909 * [backup-simplify]: Simplify y into y
7.909 * [backup-simplify]: Simplify (* 1 1) into 1
7.909 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.910 * [backup-simplify]: Simplify (* 1 (pow y 2)) into (pow y 2)
7.910 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.910 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in x
7.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in x
7.910 * [taylor]: Taking taylor expansion of 1/4 in x
7.910 * [backup-simplify]: Simplify 1/4 into 1/4
7.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.910 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.910 * [taylor]: Taking taylor expansion of x in x
7.910 * [backup-simplify]: Simplify 0 into 0
7.910 * [backup-simplify]: Simplify 1 into 1
7.910 * [backup-simplify]: Simplify (* 1 1) into 1
7.910 * [backup-simplify]: Simplify (* 1 1) into 1
7.910 * [backup-simplify]: Simplify (/ 1 1) into 1
7.911 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in x
7.911 * [taylor]: Taking taylor expansion of 1/4 in x
7.911 * [backup-simplify]: Simplify 1/4 into 1/4
7.911 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in x
7.911 * [taylor]: Taking taylor expansion of (pow y 4) in x
7.911 * [taylor]: Taking taylor expansion of y in x
7.911 * [backup-simplify]: Simplify y into y
7.911 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.911 * [backup-simplify]: Simplify (* (pow y 2) (pow y 2)) into (pow y 4)
7.911 * [backup-simplify]: Simplify (/ 1 (pow y 4)) into (/ 1 (pow y 4))
7.911 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow y 2))) into 0
7.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.912 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow y 2)))) into 0
7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.914 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.917 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.918 * [backup-simplify]: Simplify (+ 0 0) into 0
7.918 * [backup-simplify]: Simplify (+ 0 0) into 0
7.918 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow y 2))) into (/ 1/2 (pow y 2))
7.919 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.920 * [backup-simplify]: Simplify (+ 0 0) into 0
7.920 * [backup-simplify]: Simplify (+ (/ 1/2 (pow y 2)) 0) into (* 1/2 (/ 1 (pow y 2)))
7.920 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.921 * [backup-simplify]: Simplify (+ 0 0) into 0
7.921 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.922 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.922 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.923 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow y 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.923 * [taylor]: Taking taylor expansion of 0 in y
7.923 * [backup-simplify]: Simplify 0 into 0
7.923 * [taylor]: Taking taylor expansion of 0 in y
7.923 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.925 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.926 * [backup-simplify]: Simplify (+ 0 0) into 0
7.927 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0
7.927 * [taylor]: Taking taylor expansion of 0 in y
7.927 * [backup-simplify]: Simplify 0 into 0
7.927 * [taylor]: Taking taylor expansion of 0 in y
7.927 * [backup-simplify]: Simplify 0 into 0
7.927 * [taylor]: Taking taylor expansion of 0 in y
7.927 * [backup-simplify]: Simplify 0 into 0
7.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.929 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.929 * [backup-simplify]: Simplify 0 into 0
7.930 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
7.930 * * * * [progress]: [ 2 / 2 ] generating series at (2 2)
7.930 * [backup-simplify]: Simplify (hypot x y) into (hypot x y)
7.930 * [approximate]: Taking taylor expansion of (hypot x y) in (x y) around 0
7.930 * [taylor]: Taking taylor expansion of (hypot x y) in y
7.930 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.930 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
7.930 * [taylor]: Taking taylor expansion of (* x x) in y
7.930 * [taylor]: Taking taylor expansion of x in y
7.930 * [backup-simplify]: Simplify x into x
7.930 * [taylor]: Taking taylor expansion of x in y
7.930 * [backup-simplify]: Simplify x into x
7.930 * [taylor]: Taking taylor expansion of (* y y) in y
7.930 * [taylor]: Taking taylor expansion of y in y
7.930 * [backup-simplify]: Simplify 0 into 0
7.930 * [backup-simplify]: Simplify 1 into 1
7.930 * [taylor]: Taking taylor expansion of y in y
7.930 * [backup-simplify]: Simplify 0 into 0
7.930 * [backup-simplify]: Simplify 1 into 1
7.930 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.931 * [backup-simplify]: Simplify (* 0 0) into 0
7.931 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.931 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.931 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.932 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.932 * [backup-simplify]: Simplify (+ 0 0) into 0
7.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.932 * [taylor]: Taking taylor expansion of (hypot x y) in x
7.932 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.932 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
7.932 * [taylor]: Taking taylor expansion of (* x x) in x
7.932 * [taylor]: Taking taylor expansion of x in x
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.932 * [taylor]: Taking taylor expansion of x in x
7.932 * [backup-simplify]: Simplify 0 into 0
7.932 * [backup-simplify]: Simplify 1 into 1
7.932 * [taylor]: Taking taylor expansion of (* y y) in x
7.932 * [taylor]: Taking taylor expansion of y in x
7.932 * [backup-simplify]: Simplify y into y
7.932 * [taylor]: Taking taylor expansion of y in x
7.932 * [backup-simplify]: Simplify y into y
7.933 * [backup-simplify]: Simplify (* 0 0) into 0
7.933 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.933 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.933 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.934 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.934 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.934 * [backup-simplify]: Simplify (+ 0 0) into 0
7.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.934 * [taylor]: Taking taylor expansion of (hypot x y) in x
7.934 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
7.934 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
7.935 * [taylor]: Taking taylor expansion of (* x x) in x
7.935 * [taylor]: Taking taylor expansion of x in x
7.935 * [backup-simplify]: Simplify 0 into 0
7.935 * [backup-simplify]: Simplify 1 into 1
7.935 * [taylor]: Taking taylor expansion of x in x
7.935 * [backup-simplify]: Simplify 0 into 0
7.935 * [backup-simplify]: Simplify 1 into 1
7.935 * [taylor]: Taking taylor expansion of (* y y) in x
7.935 * [taylor]: Taking taylor expansion of y in x
7.935 * [backup-simplify]: Simplify y into y
7.935 * [taylor]: Taking taylor expansion of y in x
7.935 * [backup-simplify]: Simplify y into y
7.935 * [backup-simplify]: Simplify (* 0 0) into 0
7.935 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.935 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
7.935 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
7.936 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.936 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.936 * [backup-simplify]: Simplify (+ 0 0) into 0
7.937 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
7.937 * [taylor]: Taking taylor expansion of y in y
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [taylor]: Taking taylor expansion of 0 in y
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify 1 into 1
7.938 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
7.938 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.938 * [backup-simplify]: Simplify (+ 1 0) into 1
7.939 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
7.939 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
7.939 * [taylor]: Taking taylor expansion of 1/2 in y
7.939 * [backup-simplify]: Simplify 1/2 into 1/2
7.939 * [taylor]: Taking taylor expansion of y in y
7.939 * [backup-simplify]: Simplify 0 into 0
7.939 * [backup-simplify]: Simplify 1 into 1
7.940 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify 0 into 0
7.940 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
7.942 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
7.943 * [backup-simplify]: Simplify (+ 0 0) into 0
7.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
7.943 * [taylor]: Taking taylor expansion of 0 in y
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify 0 into 0
7.944 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
7.944 * [backup-simplify]: Simplify (hypot (/ 1 x) (/ 1 y)) into (hypot (/ 1 x) (/ 1 y))
7.944 * [approximate]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in (x y) around 0
7.944 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
7.944 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.944 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
7.944 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
7.944 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.944 * [taylor]: Taking taylor expansion of x in y
7.945 * [backup-simplify]: Simplify x into x
7.945 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.945 * [taylor]: Taking taylor expansion of (/ 1 x) in y
7.945 * [taylor]: Taking taylor expansion of x in y
7.945 * [backup-simplify]: Simplify x into x
7.945 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
7.945 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
7.945 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.945 * [taylor]: Taking taylor expansion of y in y
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify 1 into 1
7.945 * [backup-simplify]: Simplify (/ 1 1) into 1
7.945 * [taylor]: Taking taylor expansion of (/ 1 y) in y
7.945 * [taylor]: Taking taylor expansion of y in y
7.945 * [backup-simplify]: Simplify 0 into 0
7.945 * [backup-simplify]: Simplify 1 into 1
7.946 * [backup-simplify]: Simplify (/ 1 1) into 1
7.946 * [backup-simplify]: Simplify (* 1 1) into 1
7.946 * [backup-simplify]: Simplify (+ 0 1) into 1
7.947 * [backup-simplify]: Simplify (sqrt 1) into 1
7.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.949 * [backup-simplify]: Simplify (+ 0 0) into 0
7.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.950 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
7.950 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.950 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
7.950 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.950 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.950 * [taylor]: Taking taylor expansion of x in x
7.950 * [backup-simplify]: Simplify 0 into 0
7.950 * [backup-simplify]: Simplify 1 into 1
7.951 * [backup-simplify]: Simplify (/ 1 1) into 1
7.951 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.951 * [taylor]: Taking taylor expansion of x in x
7.951 * [backup-simplify]: Simplify 0 into 0
7.951 * [backup-simplify]: Simplify 1 into 1
7.951 * [backup-simplify]: Simplify (/ 1 1) into 1
7.951 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
7.951 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.951 * [taylor]: Taking taylor expansion of y in x
7.951 * [backup-simplify]: Simplify y into y
7.952 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.952 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.952 * [taylor]: Taking taylor expansion of y in x
7.952 * [backup-simplify]: Simplify y into y
7.952 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.952 * [backup-simplify]: Simplify (* 1 1) into 1
7.952 * [backup-simplify]: Simplify (+ 1 0) into 1
7.953 * [backup-simplify]: Simplify (sqrt 1) into 1
7.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.955 * [backup-simplify]: Simplify (+ 0 0) into 0
7.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.956 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
7.956 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
7.956 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
7.956 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
7.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.956 * [taylor]: Taking taylor expansion of x in x
7.956 * [backup-simplify]: Simplify 0 into 0
7.956 * [backup-simplify]: Simplify 1 into 1
7.956 * [backup-simplify]: Simplify (/ 1 1) into 1
7.956 * [taylor]: Taking taylor expansion of (/ 1 x) in x
7.956 * [taylor]: Taking taylor expansion of x in x
7.957 * [backup-simplify]: Simplify 0 into 0
7.957 * [backup-simplify]: Simplify 1 into 1
7.957 * [backup-simplify]: Simplify (/ 1 1) into 1
7.957 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
7.957 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.957 * [taylor]: Taking taylor expansion of y in x
7.957 * [backup-simplify]: Simplify y into y
7.957 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.957 * [taylor]: Taking taylor expansion of (/ 1 y) in x
7.957 * [taylor]: Taking taylor expansion of y in x
7.957 * [backup-simplify]: Simplify y into y
7.957 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
7.958 * [backup-simplify]: Simplify (* 1 1) into 1
7.958 * [backup-simplify]: Simplify (+ 1 0) into 1
7.958 * [backup-simplify]: Simplify (sqrt 1) into 1
7.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.961 * [backup-simplify]: Simplify (+ 0 0) into 0
7.961 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.961 * [taylor]: Taking taylor expansion of 1 in y
7.961 * [backup-simplify]: Simplify 1 into 1
7.961 * [taylor]: Taking taylor expansion of 0 in y
7.961 * [backup-simplify]: Simplify 0 into 0
7.961 * [backup-simplify]: Simplify 1 into 1
7.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.964 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
7.964 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.965 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.965 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.965 * [taylor]: Taking taylor expansion of 1/2 in y
7.965 * [backup-simplify]: Simplify 1/2 into 1/2
7.965 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.965 * [taylor]: Taking taylor expansion of y in y
7.965 * [backup-simplify]: Simplify 0 into 0
7.965 * [backup-simplify]: Simplify 1 into 1
7.966 * [backup-simplify]: Simplify (* 1 1) into 1
7.966 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 0 into 0
7.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
7.971 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
7.971 * [backup-simplify]: Simplify (+ 0 0) into 0
7.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
7.972 * [taylor]: Taking taylor expansion of 0 in y
7.972 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.974 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
7.974 * [backup-simplify]: Simplify (hypot (/ 1 (- x)) (/ 1 (- y))) into (hypot (/ -1 x) (/ -1 y))
7.974 * [approximate]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in (x y) around 0
7.974 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
7.974 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.974 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
7.974 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
7.974 * [taylor]: Taking taylor expansion of (/ -1 x) in y
7.974 * [taylor]: Taking taylor expansion of -1 in y
7.974 * [backup-simplify]: Simplify -1 into -1
7.974 * [taylor]: Taking taylor expansion of x in y
7.974 * [backup-simplify]: Simplify x into x
7.975 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.975 * [taylor]: Taking taylor expansion of (/ -1 x) in y
7.975 * [taylor]: Taking taylor expansion of -1 in y
7.975 * [backup-simplify]: Simplify -1 into -1
7.975 * [taylor]: Taking taylor expansion of x in y
7.975 * [backup-simplify]: Simplify x into x
7.975 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
7.975 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
7.975 * [taylor]: Taking taylor expansion of (/ -1 y) in y
7.975 * [taylor]: Taking taylor expansion of -1 in y
7.975 * [backup-simplify]: Simplify -1 into -1
7.975 * [taylor]: Taking taylor expansion of y in y
7.975 * [backup-simplify]: Simplify 0 into 0
7.975 * [backup-simplify]: Simplify 1 into 1
7.975 * [backup-simplify]: Simplify (/ -1 1) into -1
7.975 * [taylor]: Taking taylor expansion of (/ -1 y) in y
7.975 * [taylor]: Taking taylor expansion of -1 in y
7.976 * [backup-simplify]: Simplify -1 into -1
7.976 * [taylor]: Taking taylor expansion of y in y
7.976 * [backup-simplify]: Simplify 0 into 0
7.976 * [backup-simplify]: Simplify 1 into 1
7.976 * [backup-simplify]: Simplify (/ -1 1) into -1
7.976 * [backup-simplify]: Simplify (* -1 -1) into 1
7.977 * [backup-simplify]: Simplify (+ 0 1) into 1
7.977 * [backup-simplify]: Simplify (sqrt 1) into 1
7.978 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.979 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.979 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.980 * [backup-simplify]: Simplify (+ 0 0) into 0
7.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.980 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
7.980 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.981 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
7.981 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
7.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.981 * [taylor]: Taking taylor expansion of -1 in x
7.981 * [backup-simplify]: Simplify -1 into -1
7.981 * [taylor]: Taking taylor expansion of x in x
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.981 * [backup-simplify]: Simplify (/ -1 1) into -1
7.981 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.981 * [taylor]: Taking taylor expansion of -1 in x
7.981 * [backup-simplify]: Simplify -1 into -1
7.981 * [taylor]: Taking taylor expansion of x in x
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 1 into 1
7.982 * [backup-simplify]: Simplify (/ -1 1) into -1
7.982 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
7.982 * [taylor]: Taking taylor expansion of (/ -1 y) in x
7.982 * [taylor]: Taking taylor expansion of -1 in x
7.982 * [backup-simplify]: Simplify -1 into -1
7.982 * [taylor]: Taking taylor expansion of y in x
7.982 * [backup-simplify]: Simplify y into y
7.982 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.982 * [taylor]: Taking taylor expansion of (/ -1 y) in x
7.982 * [taylor]: Taking taylor expansion of -1 in x
7.982 * [backup-simplify]: Simplify -1 into -1
7.982 * [taylor]: Taking taylor expansion of y in x
7.982 * [backup-simplify]: Simplify y into y
7.982 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.982 * [backup-simplify]: Simplify (* -1 -1) into 1
7.983 * [backup-simplify]: Simplify (+ 1 0) into 1
7.983 * [backup-simplify]: Simplify (sqrt 1) into 1
7.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.985 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.985 * [backup-simplify]: Simplify (+ 0 0) into 0
7.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.986 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
7.986 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
7.986 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
7.986 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
7.986 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.986 * [taylor]: Taking taylor expansion of -1 in x
7.986 * [backup-simplify]: Simplify -1 into -1
7.986 * [taylor]: Taking taylor expansion of x in x
7.986 * [backup-simplify]: Simplify 0 into 0
7.986 * [backup-simplify]: Simplify 1 into 1
7.986 * [backup-simplify]: Simplify (/ -1 1) into -1
7.987 * [taylor]: Taking taylor expansion of (/ -1 x) in x
7.987 * [taylor]: Taking taylor expansion of -1 in x
7.987 * [backup-simplify]: Simplify -1 into -1
7.987 * [taylor]: Taking taylor expansion of x in x
7.987 * [backup-simplify]: Simplify 0 into 0
7.987 * [backup-simplify]: Simplify 1 into 1
7.987 * [backup-simplify]: Simplify (/ -1 1) into -1
7.987 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
7.987 * [taylor]: Taking taylor expansion of (/ -1 y) in x
7.987 * [taylor]: Taking taylor expansion of -1 in x
7.987 * [backup-simplify]: Simplify -1 into -1
7.987 * [taylor]: Taking taylor expansion of y in x
7.987 * [backup-simplify]: Simplify y into y
7.987 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.987 * [taylor]: Taking taylor expansion of (/ -1 y) in x
7.987 * [taylor]: Taking taylor expansion of -1 in x
7.987 * [backup-simplify]: Simplify -1 into -1
7.987 * [taylor]: Taking taylor expansion of y in x
7.987 * [backup-simplify]: Simplify y into y
7.987 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
7.987 * [backup-simplify]: Simplify (* -1 -1) into 1
7.988 * [backup-simplify]: Simplify (+ 1 0) into 1
7.988 * [backup-simplify]: Simplify (sqrt 1) into 1
7.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.994 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.994 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.994 * [backup-simplify]: Simplify (+ 0 0) into 0
7.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.995 * [taylor]: Taking taylor expansion of 1 in y
7.995 * [backup-simplify]: Simplify 1 into 1
7.995 * [taylor]: Taking taylor expansion of 0 in y
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify 1 into 1
7.996 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.997 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
7.998 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
7.998 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.999 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
7.999 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
7.999 * [taylor]: Taking taylor expansion of 1/2 in y
7.999 * [backup-simplify]: Simplify 1/2 into 1/2
7.999 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.999 * [taylor]: Taking taylor expansion of y in y
7.999 * [backup-simplify]: Simplify 0 into 0
7.999 * [backup-simplify]: Simplify 1 into 1
7.999 * [backup-simplify]: Simplify (* 1 1) into 1
8.000 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.000 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.000 * [backup-simplify]: Simplify 0 into 0
8.000 * [backup-simplify]: Simplify 0 into 0
8.000 * [backup-simplify]: Simplify 0 into 0
8.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.002 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
8.002 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
8.002 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
8.002 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
8.003 * [backup-simplify]: Simplify (+ 0 0) into 0
8.003 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
8.003 * [taylor]: Taking taylor expansion of 0 in y
8.003 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.004 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify 0 into 0
8.004 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
8.005 * * * [progress]: simplifying candidates
8.005 * [simplify]: Simplifying:
  (expm1 (hypot z (hypot x y)))
  (log1p (hypot z (hypot x y)))
  (+ (* z z) (* (hypot x y) (hypot x y)))
  (log (hypot z (hypot x y)))
  (exp (hypot z (hypot x y)))
  (* (cbrt (hypot z (hypot x y))) (cbrt (hypot z (hypot x y))))
  (cbrt (hypot z (hypot x y)))
  (* (* (hypot z (hypot x y)) (hypot z (hypot x y))) (hypot z (hypot x y)))
  (sqrt (hypot z (hypot x y)))
  (sqrt (hypot z (hypot x y)))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (+ (* x x) (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (* (* (hypot x y) (hypot x y)) (hypot x y))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  z
  (* -1 z)
  y
  x
  (* -1 x)
8.005 * * [simplify]: Extracting # 0 : cost  0
8.005 * * [simplify]: Extracting # 1 : cost  0
8.005 * * [simplify]: Extracting # 2 : cost  0
8.005 * * [simplify]: Extracting # 3 : cost  0
8.005 * * [simplify]: iteration  0 :  31  enodes  (cost  148 )
8.011 * * [simplify]: Extracting # 0 : cost  0
8.011 * * [simplify]: Extracting # 1 : cost  0
8.011 * * [simplify]: iteration  1 :  41  enodes  (cost  144 )
8.017 * * [simplify]: Extracting # 0 : cost  0
8.017 * * [simplify]: Extracting # 1 : cost  0
8.017 * * [simplify]: Extracting # 2 : cost  0
8.017 * * [simplify]: Extracting # 3 : cost  0
8.017 * * [simplify]: iteration  2 :  46  enodes  (cost  128 )
8.024 * * [simplify]: Extracting # 0 : cost  0
8.024 * * [simplify]: Extracting # 1 : cost  0
8.024 * * [simplify]: Extracting # 2 : cost  0
8.024 * * [simplify]: Extracting # 3 : cost  0
8.024 * * [simplify]: Extracting # 4 : cost  0
8.024 * * [simplify]: iteration  3 :  53  enodes  (cost  128 )
8.039 * * [simplify]: Extracting # 0 : cost  0
8.039 * * [simplify]: Extracting # 1 : cost  0
8.039 * * [simplify]: Extracting # 2 : cost  0
8.039 * * [simplify]: Extracting # 3 : cost  0
8.039 * * [simplify]: iteration  4 :  62  enodes  (cost  128 )
8.055 * * [simplify]: Extracting # 0 : cost  0
8.055 * * [simplify]: Extracting # 1 : cost  0
8.055 * * [simplify]: Extracting # 2 : cost  0
8.055 * * [simplify]: Extracting # 3 : cost  0
8.055 * * [simplify]: iteration  5 :  79  enodes  (cost  128 )
8.072 * * [simplify]: Extracting # 0 : cost  0
8.072 * * [simplify]: Extracting # 1 : cost  0
8.072 * * [simplify]: Extracting # 2 : cost  0
8.072 * * [simplify]: Extracting # 3 : cost  0
8.073 * * [simplify]: iteration  6 :  118  enodes  (cost  128 )
8.113 * * [simplify]: Extracting # 0 : cost  0
8.113 * * [simplify]: Extracting # 1 : cost  0
8.114 * * [simplify]: Extracting # 2 : cost  0
8.114 * * [simplify]: Extracting # 3 : cost  0
8.114 * * [simplify]: Extracting # 4 : cost  0
8.114 * * [simplify]: iteration  7 :  257  enodes  (cost  128 )
8.305 * * [simplify]: Extracting # 0 : cost  0
8.305 * * [simplify]: Extracting # 1 : cost  0
8.306 * * [simplify]: Extracting # 2 : cost  0
8.307 * * [simplify]: Extracting # 3 : cost  0
8.308 * * [simplify]: Extracting # 4 : cost  0
8.309 * * [simplify]: iteration  8 :  839  enodes  (cost  128 )
9.868 * * [simplify]: Extracting # 0 : cost  0
9.872 * * [simplify]: Extracting # 1 : cost  0
9.874 * * [simplify]: Extracting # 2 : cost  0
9.877 * * [simplify]: Extracting # 3 : cost  0
9.879 * * [simplify]: Extracting # 4 : cost  0
9.882 * * [simplify]: Extracting # 5 : cost  0
9.884 * * [simplify]: iteration  9 :  3606  enodes  (cost  128 )
11.293 * * [simplify]: Extracting # 0 : cost  0
11.298 * * [simplify]: Extracting # 1 : cost  0
11.306 * * [simplify]: Extracting # 2 : cost  0
11.309 * * [simplify]: Extracting # 3 : cost  0
11.313 * * [simplify]: iteration done:  5001  enodes  (cost  128 )
11.313 * [simplify]: Simplified to:
  (expm1 (hypot z (hypot x y)))
  (log1p (hypot z (hypot x y)))
  (fma z z (* (hypot x y) (hypot x y)))
  (log (hypot z (hypot x y)))
  (exp (hypot z (hypot x y)))
  (* (cbrt (hypot z (hypot x y))) (cbrt (hypot z (hypot x y))))
  (cbrt (hypot z (hypot x y)))
  (pow (hypot z (hypot x y)) 3)
  (sqrt (hypot z (hypot x y)))
  (sqrt (hypot z (hypot x y)))
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (fma x x (* y y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  y
  z
  (- z)
  y
  x
  (- x)
11.313 * * * [progress]: adding candidates to table
11.386 * [progress]: [Phase 3 of 3] Extracting.
11.386 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))> #<alt (λ (x y z) (hypot z (hypot x y)))> #<alt (λ (x y z) (* (sqrt (hypot z (hypot x y))) (sqrt (hypot z (hypot x y)))))>)
11.387 * * * [regime-changes]: Trying 5 branch expressions: ((* z z) (* y y) z y x)
11.387 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))> #<alt (λ (x y z) (hypot z (hypot x y)))> #<alt (λ (x y z) (* (sqrt (hypot z (hypot x y))) (sqrt (hypot z (hypot x y)))))>)
11.410 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))> #<alt (λ (x y z) (hypot z (hypot x y)))> #<alt (λ (x y z) (* (sqrt (hypot z (hypot x y))) (sqrt (hypot z (hypot x y)))))>)
11.427 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))> #<alt (λ (x y z) (hypot z (hypot x y)))> #<alt (λ (x y z) (* (sqrt (hypot z (hypot x y))) (sqrt (hypot z (hypot x y)))))>)
11.445 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))> #<alt (λ (x y z) (hypot z (hypot x y)))> #<alt (λ (x y z) (* (sqrt (hypot z (hypot x y))) (sqrt (hypot z (hypot x y)))))>)
11.463 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (* z z) (fma x x (* y y)))))> #<alt (λ (x y z) (hypot z (hypot x y)))> #<alt (λ (x y z) (* (sqrt (hypot z (hypot x y))) (sqrt (hypot z (hypot x y)))))>)
11.478 * * * [regime]: Found split indices: #<option (#s(si 1 255))>
11.479 * [simplify]: Simplifying:
  (hypot z (hypot x y))
11.479 * * [simplify]: Extracting # 0 : cost  0
11.479 * * [simplify]: Extracting # 1 : cost  0
11.479 * * [simplify]: Extracting # 2 : cost  0
11.479 * * [simplify]: Extracting # 3 : cost  0
11.479 * * [simplify]: Extracting # 4 : cost  0
11.479 * * [simplify]: iteration  0 :  5  enodes  (cost  5 )
11.479 * * [simplify]: Extracting # 0 : cost  0
11.479 * * [simplify]: iteration done:  5  enodes  (cost  5 )
11.479 * [simplify]: Simplified to:
  (hypot z (hypot x y))
12.637 * [regime-testing]: Baseline error score: 0.005125640705088136
12.639 * [regime-testing]: Oracle error score: 0.0026253281660207524
12.645 * [regime-testing]: End program error score: 0.005125640705088136
12.703 * [regime-testing]: Target error score: 25.342169047916602