28.958 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.024 * * * [progress]: [2/2] Setting up program.
0.031 * [progress]: [Phase 2 of 3] Improving.
0.031 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.031 * * [simplify]: iteration 0: 9 enodes
0.034 * * [simplify]: iteration 1: 14 enodes
0.038 * * [simplify]: iteration 2: 24 enodes
0.044 * * [simplify]: iteration 3: 31 enodes
0.050 * * [simplify]: iteration complete: 31 enodes
0.050 * * [simplify]: Extracting #0: cost 1 inf + 0
0.050 * * [simplify]: Extracting #1: cost 2 inf + 0
0.050 * * [simplify]: Extracting #2: cost 11 inf + 0
0.050 * * [simplify]: Extracting #3: cost 7 inf + 6
0.050 * * [simplify]: Extracting #4: cost 0 inf + 49
0.050 * [simplify]: Simplified to:
  (sqrt (fma z z (fma y y (* x x))))
0.055 * * [progress]: iteration 1 / 4
0.055 * * * [progress]: picking best candidate
0.062 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))>
0.062 * * * [progress]: localizing error
0.073 * * * [progress]: generating rewritten candidates
0.073 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
0.075 * * * [progress]: generating series expansions
0.075 * * * * [progress]: [ 1 / 1 ] generating series at (2)
0.075 * [backup-simplify]: Simplify (sqrt (fma z z (fma y y (* x x)))) into (sqrt (fma z z (fma y y (pow x 2))))
0.075 * [approximate]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in (z y x) around 0
0.075 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in x
0.075 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in x
0.075 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2)))
0.075 * [taylor]: Taking taylor expansion of (* z z) in x
0.075 * [taylor]: Taking taylor expansion of z in x
0.075 * [backup-simplify]: Simplify z into z
0.075 * [taylor]: Taking taylor expansion of z in x
0.075 * [backup-simplify]: Simplify z into z
0.075 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in x
0.075 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2))
0.075 * [taylor]: Taking taylor expansion of (* y y) in x
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [backup-simplify]: Simplify y into y
0.075 * [taylor]: Taking taylor expansion of y in x
0.075 * [backup-simplify]: Simplify y into y
0.075 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.075 * [taylor]: Taking taylor expansion of x in x
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 (* y y) into (pow y 2)
0.075 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.076 * [backup-simplify]: Simplify (+ (pow z 2) (pow y 2)) into (+ (pow y 2) (pow z 2))
0.076 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.076 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.076 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) 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 y 2) (pow z 2))))) into 0
0.077 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in y
0.077 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in y
0.077 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2)))
0.077 * [taylor]: Taking taylor expansion of (* z z) in y
0.077 * [taylor]: Taking taylor expansion of z in y
0.077 * [backup-simplify]: Simplify z into z
0.077 * [taylor]: Taking taylor expansion of z in y
0.077 * [backup-simplify]: Simplify z into z
0.077 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in y
0.077 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2))
0.077 * [taylor]: Taking taylor expansion of (* y y) in y
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [taylor]: Taking taylor expansion of y in y
0.077 * [backup-simplify]: Simplify 0 into 0
0.077 * [backup-simplify]: Simplify 1 into 1
0.077 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.077 * [taylor]: Taking taylor expansion of x in y
0.077 * [backup-simplify]: Simplify x into x
0.077 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.078 * [backup-simplify]: Simplify (* 0 0) into 0
0.078 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.078 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.078 * [backup-simplify]: Simplify (+ (pow z 2) (pow x 2)) into (+ (pow x 2) (pow z 2))
0.078 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.078 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.078 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.079 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify (+ 0 0) into 0
0.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.079 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in z
0.079 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in z
0.079 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2)))
0.079 * [taylor]: Taking taylor expansion of (* z z) in z
0.079 * [taylor]: Taking taylor expansion of z in z
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [taylor]: Taking taylor expansion of z in z
0.079 * [backup-simplify]: Simplify 0 into 0
0.079 * [backup-simplify]: Simplify 1 into 1
0.079 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in z
0.080 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2))
0.080 * [taylor]: Taking taylor expansion of (* y y) in z
0.080 * [taylor]: Taking taylor expansion of y in z
0.080 * [backup-simplify]: Simplify y into y
0.080 * [taylor]: Taking taylor expansion of y in z
0.080 * [backup-simplify]: Simplify y into y
0.080 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.080 * [taylor]: Taking taylor expansion of x in z
0.080 * [backup-simplify]: Simplify x into x
0.080 * [backup-simplify]: Simplify (* 0 0) into 0
0.080 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.080 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.080 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.080 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow x 2))) into (+ (pow y 2) (pow x 2))
0.080 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.081 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.081 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.081 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.081 * [backup-simplify]: Simplify (+ 0 0) into 0
0.089 * [backup-simplify]: Simplify (+ 0 0) into 0
0.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.090 * [taylor]: Taking taylor expansion of (sqrt (fma z z (fma y y (pow x 2)))) in z
0.090 * [taylor]: Taking taylor expansion of (fma z z (fma y y (pow x 2))) in z
0.090 * [taylor]: Rewrote expression to (+ (* z z) (fma y y (pow x 2)))
0.090 * [taylor]: Taking taylor expansion of (* z z) in z
0.090 * [taylor]: Taking taylor expansion of z in z
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [taylor]: Taking taylor expansion of z in z
0.090 * [backup-simplify]: Simplify 0 into 0
0.090 * [backup-simplify]: Simplify 1 into 1
0.090 * [taylor]: Taking taylor expansion of (fma y y (pow x 2)) in z
0.090 * [taylor]: Rewrote expression to (+ (* y y) (pow x 2))
0.090 * [taylor]: Taking taylor expansion of (* y y) in z
0.090 * [taylor]: Taking taylor expansion of y in z
0.090 * [backup-simplify]: Simplify y into y
0.090 * [taylor]: Taking taylor expansion of y in z
0.090 * [backup-simplify]: Simplify y into y
0.090 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.090 * [taylor]: Taking taylor expansion of x in z
0.090 * [backup-simplify]: Simplify x into x
0.091 * [backup-simplify]: Simplify (* 0 0) into 0
0.091 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.091 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.091 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.091 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow x 2))) into (+ (pow y 2) (pow x 2))
0.091 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.092 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.092 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.092 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.092 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.093 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow x 2))) in y
0.093 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.093 * [taylor]: Taking taylor expansion of (pow y 2) in y
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 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.093 * [taylor]: Taking taylor expansion of x in y
0.093 * [backup-simplify]: Simplify x into x
0.093 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.093 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.093 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
0.093 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.093 * [backup-simplify]: Simplify (+ 0 0) into 0
0.093 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
0.093 * [taylor]: Taking taylor expansion of x in x
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [backup-simplify]: Simplify 1 into 1
0.093 * [backup-simplify]: Simplify 0 into 0
0.093 * [taylor]: Taking taylor expansion of 0 in y
0.093 * [backup-simplify]: Simplify 0 into 0
0.094 * [taylor]: Taking taylor expansion of 0 in x
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [taylor]: Taking taylor expansion of 0 in x
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 0 into 0
0.094 * [backup-simplify]: Simplify 1 into 1
0.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.094 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.095 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.095 * [backup-simplify]: Simplify (+ 0 0) into 0
0.095 * [backup-simplify]: Simplify (+ 1 0) into 1
0.096 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2)))))
0.096 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow x 2))))) in y
0.096 * [taylor]: Taking taylor expansion of 1/2 in y
0.096 * [backup-simplify]: Simplify 1/2 into 1/2
0.096 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow x 2)))) in y
0.096 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow x 2))) in y
0.096 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
0.096 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.096 * [taylor]: Taking taylor expansion of y in y
0.096 * [backup-simplify]: Simplify 0 into 0
0.096 * [backup-simplify]: Simplify 1 into 1
0.096 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.096 * [taylor]: Taking taylor expansion of x in y
0.096 * [backup-simplify]: Simplify x into x
0.096 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.096 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2)
0.096 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.096 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
0.096 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.097 * [backup-simplify]: Simplify (+ 0 0) into 0
0.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.097 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
0.097 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
0.097 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.097 * [taylor]: Taking taylor expansion of 1/2 in x
0.097 * [backup-simplify]: Simplify 1/2 into 1/2
0.097 * [taylor]: Taking taylor expansion of x in x
0.097 * [backup-simplify]: Simplify 0 into 0
0.097 * [backup-simplify]: Simplify 1 into 1
0.098 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.098 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [taylor]: Taking taylor expansion of 0 in x
0.098 * [backup-simplify]: Simplify 0 into 0
0.098 * [backup-simplify]: Simplify 0 into 0
0.099 * [backup-simplify]: Simplify (* 1 1) into 1
0.099 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.099 * [backup-simplify]: Simplify (+ 1 0) into 1
0.100 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
0.100 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
0.100 * [taylor]: Taking taylor expansion of 1/2 in x
0.100 * [backup-simplify]: Simplify 1/2 into 1/2
0.100 * [taylor]: Taking taylor expansion of x in x
0.100 * [backup-simplify]: Simplify 0 into 0
0.100 * [backup-simplify]: Simplify 1 into 1
0.100 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.101 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify 0 into 0
0.101 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
0.101 * [backup-simplify]: Simplify (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (* (/ 1 x) (/ 1 x))))) into (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))))
0.101 * [approximate]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in (z y x) around 0
0.101 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in x
0.101 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in x
0.101 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 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
0.102 * [taylor]: Taking taylor expansion of z in x
0.102 * [backup-simplify]: Simplify z into z
0.102 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.102 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in x
0.102 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2)))
0.102 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
0.102 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y)
0.102 * [taylor]: Taking taylor expansion of (/ 1 y) 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 (/ 1 y) into (/ 1 y)
0.102 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.102 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.102 * [taylor]: Taking taylor expansion of x in x
0.102 * [backup-simplify]: Simplify 0 into 0
0.102 * [backup-simplify]: Simplify 1 into 1
0.102 * [backup-simplify]: Simplify (* 1 1) into 1
0.102 * [backup-simplify]: Simplify (/ 1 1) into 1
0.103 * [backup-simplify]: Simplify (+ 0 1) into 1
0.103 * [backup-simplify]: Simplify (+ 0 1) into 1
0.103 * [backup-simplify]: Simplify (sqrt 1) into 1
0.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.104 * [backup-simplify]: Simplify (+ 0 0) into 0
0.104 * [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 y) (/ 1 y) (/ 1 (pow x 2))))) in y
0.105 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in y
0.105 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))
0.105 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
0.105 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.105 * [taylor]: Taking taylor expansion of z in y
0.105 * [backup-simplify]: Simplify z into z
0.105 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.105 * [taylor]: Taking taylor expansion of (/ 1 z) in y
0.105 * [taylor]: Taking taylor expansion of z in y
0.105 * [backup-simplify]: Simplify z into z
0.105 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
0.105 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in y
0.105 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2)))
0.105 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
0.105 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.105 * [taylor]: Taking taylor expansion of y in y
0.105 * [backup-simplify]: Simplify 0 into 0
0.105 * [backup-simplify]: Simplify 1 into 1
0.106 * [backup-simplify]: Simplify (/ 1 1) into 1
0.106 * [taylor]: Taking taylor expansion of (/ 1 y) in y
0.106 * [taylor]: Taking taylor expansion of y in y
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 (/ 1 (pow x 2)) in y
0.106 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.106 * [taylor]: Taking taylor expansion of x in y
0.106 * [backup-simplify]: Simplify x into x
0.106 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.106 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.107 * [backup-simplify]: Simplify (* 1 1) into 1
0.107 * [backup-simplify]: Simplify (+ 1 0) into 1
0.107 * [backup-simplify]: Simplify (+ 0 1) 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
0.109 * [backup-simplify]: Simplify (+ 0 0) into 0
0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.109 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in z
0.109 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in z
0.110 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 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
0.110 * [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
0.110 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in z
0.110 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2)))
0.110 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.110 * [taylor]: Taking taylor expansion of y in z
0.110 * [backup-simplify]: Simplify y into y
0.110 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.110 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.110 * [taylor]: Taking taylor expansion of y in z
0.111 * [backup-simplify]: Simplify y into y
0.111 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.111 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.111 * [taylor]: Taking taylor expansion of (pow x 2) 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 (* x x) into (pow x 2)
0.111 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.111 * [backup-simplify]: Simplify (* 1 1) into 1
0.111 * [backup-simplify]: Simplify (+ 1 0) into 1
0.111 * [backup-simplify]: Simplify (sqrt 1) into 1
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.113 * [backup-simplify]: Simplify (+ 0 0) into 0
0.113 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.113 * [taylor]: Taking taylor expansion of (sqrt (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))) in z
0.113 * [taylor]: Taking taylor expansion of (fma (/ 1 z) (/ 1 z) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2)))) in z
0.114 * [taylor]: Rewrote expression to (+ (* (/ 1 z) (/ 1 z)) (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))))
0.114 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
0.114 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.114 * [taylor]: Taking taylor expansion of z in z
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (/ 1 1) into 1
0.114 * [taylor]: Taking taylor expansion of (/ 1 z) in z
0.114 * [taylor]: Taking taylor expansion of z in z
0.114 * [backup-simplify]: Simplify 0 into 0
0.114 * [backup-simplify]: Simplify 1 into 1
0.114 * [backup-simplify]: Simplify (/ 1 1) into 1
0.114 * [taylor]: Taking taylor expansion of (fma (/ 1 y) (/ 1 y) (/ 1 (pow x 2))) in z
0.114 * [taylor]: Rewrote expression to (+ (* (/ 1 y) (/ 1 y)) (/ 1 (pow x 2)))
0.114 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.114 * [taylor]: Taking taylor expansion of y in z
0.114 * [backup-simplify]: Simplify y into y
0.114 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.114 * [taylor]: Taking taylor expansion of (/ 1 y) in z
0.114 * [taylor]: Taking taylor expansion of y in z
0.114 * [backup-simplify]: Simplify y into y
0.115 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
0.115 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.115 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.115 * [taylor]: Taking taylor expansion of x in z
0.115 * [backup-simplify]: Simplify x into x
0.115 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.115 * [backup-simplify]: Simplify (* 1 1) into 1
0.115 * [backup-simplify]: Simplify (+ 1 0) into 1
0.115 * [backup-simplify]: Simplify (sqrt 1) into 1
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.117 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.117 * [backup-simplify]: Simplify (+ 0 0) into 0
0.118 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.118 * [taylor]: Taking taylor expansion of 1 in y
0.118 * [backup-simplify]: Simplify 1 into 1
0.118 * [taylor]: Taking taylor expansion of 0 in y
0.118 * [backup-simplify]: Simplify 0 into 0
0.118 * [taylor]: Taking taylor expansion of 1 in x
0.118 * [backup-simplify]: Simplify 1 into 1
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.120 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
0.120 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.121 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.122 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.122 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.122 * [taylor]: Taking taylor expansion of 1/2 in y
0.122 * [backup-simplify]: Simplify 1/2 into 1/2
0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.122 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.122 * [taylor]: Taking taylor expansion of y in y
0.122 * [backup-simplify]: Simplify 0 into 0
0.122 * [backup-simplify]: Simplify 1 into 1
0.122 * [backup-simplify]: Simplify (* 1 1) into 1
0.122 * [backup-simplify]: Simplify (/ 1 1) into 1
0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.122 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.122 * [taylor]: Taking taylor expansion of x in y
0.122 * [backup-simplify]: Simplify x into x
0.122 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.122 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.124 * [backup-simplify]: Simplify (+ 0 0) into 0
0.124 * [backup-simplify]: Simplify (+ 1 0) into 1
0.124 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.124 * [taylor]: Taking taylor expansion of 0 in x
0.124 * [backup-simplify]: Simplify 0 into 0
0.124 * [taylor]: Taking taylor expansion of 0 in x
0.124 * [backup-simplify]: Simplify 0 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 into 1
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
0.126 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
0.126 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.127 * [backup-simplify]: Simplify (+ 0 0) into 0
0.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0
0.128 * [taylor]: Taking taylor expansion of 0 in y
0.128 * [backup-simplify]: Simplify 0 into 0
0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.130 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.131 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
0.131 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
0.131 * [taylor]: Taking taylor expansion of 1/2 in x
0.131 * [backup-simplify]: Simplify 1/2 into 1/2
0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.131 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.131 * [taylor]: Taking taylor expansion of x in x
0.131 * [backup-simplify]: Simplify 0 into 0
0.131 * [backup-simplify]: Simplify 1 into 1
0.132 * [backup-simplify]: Simplify (* 1 1) into 1
0.132 * [backup-simplify]: Simplify (/ 1 1) into 1
0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.134 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [taylor]: Taking taylor expansion of 0 in x
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [taylor]: Taking taylor expansion of 0 in x
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.134 * [backup-simplify]: Simplify 0 into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.139 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
0.139 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.140 * [backup-simplify]: Simplify (+ 0 0) into 0
0.142 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))))
0.142 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) in y
0.142 * [taylor]: Taking taylor expansion of -1/2 in y
0.142 * [backup-simplify]: Simplify -1/2 into -1/2
0.142 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))) in y
0.142 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
0.142 * [taylor]: Taking taylor expansion of 1/2 in y
0.142 * [backup-simplify]: Simplify 1/2 into 1/2
0.142 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
0.142 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
0.143 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.143 * [taylor]: Taking taylor expansion of x in y
0.143 * [backup-simplify]: Simplify x into x
0.143 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.143 * [taylor]: Taking taylor expansion of y in y
0.143 * [backup-simplify]: Simplify 0 into 0
0.143 * [backup-simplify]: Simplify 1 into 1
0.143 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.143 * [backup-simplify]: Simplify (* 1 1) into 1
0.143 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
0.143 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.143 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y
0.144 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.144 * [taylor]: Taking taylor expansion of 1/4 in y
0.144 * [backup-simplify]: Simplify 1/4 into 1/4
0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.144 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.144 * [taylor]: Taking taylor expansion of y in y
0.144 * [backup-simplify]: Simplify 0 into 0
0.144 * [backup-simplify]: Simplify 1 into 1
0.144 * [backup-simplify]: Simplify (* 1 1) into 1
0.144 * [backup-simplify]: Simplify (* 1 1) into 1
0.145 * [backup-simplify]: Simplify (/ 1 1) into 1
0.145 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
0.145 * [taylor]: Taking taylor expansion of 1/4 in y
0.145 * [backup-simplify]: Simplify 1/4 into 1/4
0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
0.145 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.145 * [taylor]: Taking taylor expansion of x in y
0.145 * [backup-simplify]: Simplify x into x
0.145 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.145 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
0.145 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.146 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.147 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
0.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.148 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.157 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.158 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
0.159 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.160 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
0.160 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.162 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.162 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.163 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.164 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.164 * [taylor]: Taking taylor expansion of 0 in x
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [taylor]: Taking taylor expansion of 0 in x
0.164 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.166 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
0.168 * [taylor]: Taking taylor expansion of 0 in x
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [taylor]: Taking taylor expansion of 0 in x
0.168 * [backup-simplify]: Simplify 0 into 0
0.168 * [taylor]: Taking taylor expansion of 0 in x
0.168 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.171 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.171 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
0.172 * [backup-simplify]: Simplify (sqrt (fma (/ 1 (- z)) (/ 1 (- z)) (fma (/ 1 (- y)) (/ 1 (- y)) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))))
0.172 * [approximate]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in (z y x) around 0
0.172 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in x
0.172 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in x
0.172 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))
0.172 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
0.172 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.172 * [taylor]: Taking taylor expansion of -1 in x
0.172 * [backup-simplify]: Simplify -1 into -1
0.173 * [taylor]: Taking taylor expansion of z in x
0.173 * [backup-simplify]: Simplify z into z
0.173 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.173 * [taylor]: Taking taylor expansion of (/ -1 z) in x
0.173 * [taylor]: Taking taylor expansion of -1 in x
0.173 * [backup-simplify]: Simplify -1 into -1
0.173 * [taylor]: Taking taylor expansion of z in x
0.173 * [backup-simplify]: Simplify z into z
0.173 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.173 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in x
0.173 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2)))
0.173 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
0.173 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.173 * [taylor]: Taking taylor expansion of -1 in x
0.173 * [backup-simplify]: Simplify -1 into -1
0.173 * [taylor]: Taking taylor expansion of y in x
0.173 * [backup-simplify]: Simplify y into y
0.173 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.173 * [taylor]: Taking taylor expansion of (/ -1 y) in x
0.173 * [taylor]: Taking taylor expansion of -1 in x
0.173 * [backup-simplify]: Simplify -1 into -1
0.173 * [taylor]: Taking taylor expansion of y in x
0.173 * [backup-simplify]: Simplify y into y
0.173 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.174 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.174 * [taylor]: Taking taylor expansion of x in x
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (* 1 1) into 1
0.174 * [backup-simplify]: Simplify (/ 1 1) into 1
0.175 * [backup-simplify]: Simplify (+ 0 1) into 1
0.175 * [backup-simplify]: Simplify (+ 0 1) into 1
0.176 * [backup-simplify]: Simplify (sqrt 1) into 1
0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.178 * [backup-simplify]: Simplify (+ 0 0) 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 y) (/ -1 y) (/ 1 (pow x 2))))) in y
0.179 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in y
0.179 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))
0.179 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
0.179 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.179 * [taylor]: Taking taylor expansion of -1 in y
0.179 * [backup-simplify]: Simplify -1 into -1
0.179 * [taylor]: Taking taylor expansion of z in y
0.179 * [backup-simplify]: Simplify z into z
0.179 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.179 * [taylor]: Taking taylor expansion of (/ -1 z) in y
0.179 * [taylor]: Taking taylor expansion of -1 in y
0.179 * [backup-simplify]: Simplify -1 into -1
0.179 * [taylor]: Taking taylor expansion of z in y
0.179 * [backup-simplify]: Simplify z into z
0.179 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
0.179 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in y
0.179 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2)))
0.179 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
0.179 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.179 * [taylor]: Taking taylor expansion of -1 in y
0.179 * [backup-simplify]: Simplify -1 into -1
0.179 * [taylor]: Taking taylor expansion of y in y
0.179 * [backup-simplify]: Simplify 0 into 0
0.179 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (/ -1 1) into -1
0.180 * [taylor]: Taking taylor expansion of (/ -1 y) in y
0.180 * [taylor]: Taking taylor expansion of -1 in y
0.180 * [backup-simplify]: Simplify -1 into -1
0.180 * [taylor]: Taking taylor expansion of y in y
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [backup-simplify]: Simplify (/ -1 1) into -1
0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.180 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.180 * [taylor]: Taking taylor expansion of x in y
0.180 * [backup-simplify]: Simplify x into x
0.180 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.180 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.180 * [backup-simplify]: Simplify (* -1 -1) into 1
0.181 * [backup-simplify]: Simplify (+ 1 0) into 1
0.181 * [backup-simplify]: Simplify (+ 0 1) into 1
0.181 * [backup-simplify]: Simplify (sqrt 1) into 1
0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.183 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in z
0.183 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in z
0.184 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))
0.184 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.184 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.184 * [taylor]: Taking taylor expansion of -1 in z
0.184 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of z in z
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (/ -1 1) into -1
0.184 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.184 * [taylor]: Taking taylor expansion of -1 in z
0.184 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of z in z
0.184 * [backup-simplify]: Simplify 0 into 0
0.184 * [backup-simplify]: Simplify 1 into 1
0.184 * [backup-simplify]: Simplify (/ -1 1) into -1
0.184 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in z
0.184 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2)))
0.184 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
0.184 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.184 * [taylor]: Taking taylor expansion of -1 in z
0.184 * [backup-simplify]: Simplify -1 into -1
0.184 * [taylor]: Taking taylor expansion of y in z
0.184 * [backup-simplify]: Simplify y into y
0.184 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.185 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.185 * [taylor]: Taking taylor expansion of -1 in z
0.185 * [backup-simplify]: Simplify -1 into -1
0.185 * [taylor]: Taking taylor expansion of y in z
0.185 * [backup-simplify]: Simplify y into y
0.185 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.185 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.185 * [taylor]: Taking taylor expansion of x in z
0.185 * [backup-simplify]: Simplify x into x
0.185 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.185 * [backup-simplify]: Simplify (* -1 -1) into 1
0.185 * [backup-simplify]: Simplify (+ 1 0) into 1
0.186 * [backup-simplify]: Simplify (sqrt 1) into 1
0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.187 * [backup-simplify]: Simplify (+ 0 0) into 0
0.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.188 * [taylor]: Taking taylor expansion of (sqrt (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))) in z
0.188 * [taylor]: Taking taylor expansion of (fma (/ -1 z) (/ -1 z) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2)))) in z
0.188 * [taylor]: Rewrote expression to (+ (* (/ -1 z) (/ -1 z)) (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))))
0.188 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
0.188 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.188 * [taylor]: Taking taylor expansion of -1 in z
0.188 * [backup-simplify]: Simplify -1 into -1
0.188 * [taylor]: Taking taylor expansion of z in z
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (/ -1 1) into -1
0.188 * [taylor]: Taking taylor expansion of (/ -1 z) in z
0.188 * [taylor]: Taking taylor expansion of -1 in z
0.188 * [backup-simplify]: Simplify -1 into -1
0.188 * [taylor]: Taking taylor expansion of z in z
0.188 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify 1 into 1
0.188 * [backup-simplify]: Simplify (/ -1 1) into -1
0.188 * [taylor]: Taking taylor expansion of (fma (/ -1 y) (/ -1 y) (/ 1 (pow x 2))) in z
0.189 * [taylor]: Rewrote expression to (+ (* (/ -1 y) (/ -1 y)) (/ 1 (pow x 2)))
0.189 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
0.189 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.189 * [taylor]: Taking taylor expansion of -1 in z
0.189 * [backup-simplify]: Simplify -1 into -1
0.189 * [taylor]: Taking taylor expansion of y in z
0.189 * [backup-simplify]: Simplify y into y
0.189 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.189 * [taylor]: Taking taylor expansion of (/ -1 y) in z
0.189 * [taylor]: Taking taylor expansion of -1 in z
0.189 * [backup-simplify]: Simplify -1 into -1
0.189 * [taylor]: Taking taylor expansion of y in z
0.189 * [backup-simplify]: Simplify y into y
0.189 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.189 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.189 * [taylor]: Taking taylor expansion of x in z
0.189 * [backup-simplify]: Simplify x into x
0.189 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.189 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.189 * [backup-simplify]: Simplify (* -1 -1) into 1
0.189 * [backup-simplify]: Simplify (+ 1 0) into 1
0.190 * [backup-simplify]: Simplify (sqrt 1) into 1
0.190 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.191 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.191 * [backup-simplify]: Simplify (+ 0 0) into 0
0.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.192 * [taylor]: Taking taylor expansion of 1 in y
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [taylor]: Taking taylor expansion of 0 in y
0.192 * [backup-simplify]: Simplify 0 into 0
0.192 * [taylor]: Taking taylor expansion of 1 in x
0.192 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.193 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.194 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
0.194 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.194 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
0.195 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))
0.195 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y
0.195 * [taylor]: Taking taylor expansion of 1/2 in y
0.195 * [backup-simplify]: Simplify 1/2 into 1/2
0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.195 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.195 * [taylor]: Taking taylor expansion of y in y
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [backup-simplify]: Simplify (* 1 1) into 1
0.196 * [backup-simplify]: Simplify (/ 1 1) into 1
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.196 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.196 * [taylor]: Taking taylor expansion of x in y
0.196 * [backup-simplify]: Simplify x into x
0.196 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.196 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ 0 0) into 0
0.197 * [backup-simplify]: Simplify (+ 1 0) into 1
0.198 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.198 * [taylor]: Taking taylor expansion of 0 in x
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [taylor]: Taking taylor expansion of 0 in x
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [taylor]: Taking taylor expansion of 0 in x
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.200 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.200 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.200 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
0.200 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
0.200 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.200 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))))) (* 2 1)) into 0
0.201 * [taylor]: Taking taylor expansion of 0 in y
0.201 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.207 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2))
0.208 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
0.208 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
0.208 * [taylor]: Taking taylor expansion of 1/2 in x
0.208 * [backup-simplify]: Simplify 1/2 into 1/2
0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.208 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.208 * [taylor]: Taking taylor expansion of x in x
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [backup-simplify]: Simplify (* 1 1) into 1
0.208 * [backup-simplify]: Simplify (/ 1 1) into 1
0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [taylor]: Taking taylor expansion of 0 in x
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [taylor]: Taking taylor expansion of 0 in x
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.210 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.212 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.212 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.212 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
0.212 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.213 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))))
0.214 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))))) in y
0.214 * [taylor]: Taking taylor expansion of -1/2 in y
0.214 * [backup-simplify]: Simplify -1/2 into -1/2
0.214 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4))))) in y
0.215 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
0.215 * [taylor]: Taking taylor expansion of 1/2 in y
0.215 * [backup-simplify]: Simplify 1/2 into 1/2
0.215 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
0.215 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
0.215 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.215 * [taylor]: Taking taylor expansion of x in y
0.215 * [backup-simplify]: Simplify x into x
0.215 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.215 * [taylor]: Taking taylor expansion of y in y
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.215 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.215 * [backup-simplify]: Simplify (* 1 1) into 1
0.215 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
0.215 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.215 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow x 4)))) in y
0.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.215 * [taylor]: Taking taylor expansion of 1/4 in y
0.215 * [backup-simplify]: Simplify 1/4 into 1/4
0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.215 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.215 * [taylor]: Taking taylor expansion of y in y
0.215 * [backup-simplify]: Simplify 0 into 0
0.215 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (/ 1 1) into 1
0.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
0.216 * [taylor]: Taking taylor expansion of 1/4 in y
0.216 * [backup-simplify]: Simplify 1/4 into 1/4
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
0.216 * [taylor]: Taking taylor expansion of (pow x 4) in y
0.216 * [taylor]: Taking taylor expansion of x in y
0.216 * [backup-simplify]: Simplify x into x
0.216 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.216 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
0.216 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.217 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
0.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
0.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
0.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.226 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
0.226 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.227 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.227 * [taylor]: Taking taylor expansion of 0 in x
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [taylor]: Taking taylor expansion of 0 in x
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.228 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.229 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
0.229 * [taylor]: Taking taylor expansion of 0 in x
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [taylor]: Taking taylor expansion of 0 in x
0.229 * [backup-simplify]: Simplify 0 into 0
0.229 * [taylor]: Taking taylor expansion of 0 in x
0.229 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.231 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
0.231 * * * [progress]: simplifying candidates
0.231 * [simplify]: Simplifying:
  (expm1 (sqrt (fma z z (fma y y (* x x)))))
  (log1p (sqrt (fma z z (fma y y (* x x)))))
  (log (sqrt (fma z z (fma y y (* x x)))))
  (exp (sqrt (fma z z (fma y y (* x x)))))
  (* (cbrt (sqrt (fma z z (fma y y (* x x))))) (cbrt (sqrt (fma z z (fma y y (* x x))))))
  (cbrt (sqrt (fma z z (fma y y (* x x)))))
  (* (* (sqrt (fma z z (fma y y (* x x)))) (sqrt (fma z z (fma y y (* x x))))) (sqrt (fma z z (fma y y (* x x)))))
  (sqrt (* (cbrt (fma z z (fma y y (* x x)))) (cbrt (fma z z (fma y y (* x x))))))
  (sqrt (cbrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  (sqrt 1)
  (sqrt (fma z z (fma y y (* x x))))
  (/ 1 2)
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  x
  z
  (* -1 z)
0.232 * * [simplify]: iteration 0: 26 enodes
0.236 * * [simplify]: iteration 1: 38 enodes
0.240 * * [simplify]: iteration 2: 52 enodes
0.249 * * [simplify]: iteration 3: 85 enodes
0.276 * * [simplify]: iteration 4: 144 enodes
0.310 * * [simplify]: iteration 5: 243 enodes
0.349 * * [simplify]: iteration 6: 342 enodes
0.404 * * [simplify]: iteration 7: 521 enodes
0.583 * * [simplify]: iteration 8: 1170 enodes
1.596 * * [simplify]: iteration complete: 5000 enodes
1.596 * * [simplify]: Extracting #0: cost 16 inf + 0
1.596 * * [simplify]: Extracting #1: cost 258 inf + 4
1.601 * * [simplify]: Extracting #2: cost 1235 inf + 274
1.606 * * [simplify]: Extracting #3: cost 1260 inf + 2094
1.616 * * [simplify]: Extracting #4: cost 463 inf + 23783
1.621 * * [simplify]: Extracting #5: cost 36 inf + 36999
1.625 * * [simplify]: Extracting #6: cost 0 inf + 37984
1.629 * * [simplify]: Extracting #7: cost 0 inf + 37940
1.637 * [simplify]: Simplified to:
  (expm1 (sqrt (fma z z (fma y y (* x x)))))
  (log1p (sqrt (fma z z (fma y y (* x x)))))
  (log (sqrt (fma z z (fma y y (* x x)))))
  (exp (sqrt (fma z z (fma y y (* x x)))))
  (* (cbrt (sqrt (fma z z (fma y y (* x x))))) (cbrt (sqrt (fma z z (fma y y (* x x))))))
  (cbrt (sqrt (fma z z (fma y y (* x x)))))
  (pow (sqrt (fma z z (fma y y (* x x)))) 3)
  (fabs (cbrt (fma z z (fma y y (* x x)))))
  (sqrt (cbrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  1
  (sqrt (fma z z (fma y y (* x x))))
  1/2
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  (sqrt (sqrt (fma z z (fma y y (* x x)))))
  x
  z
  (- z)
1.637 * * * [progress]: adding candidates to table
1.760 * * [progress]: iteration 2 / 4
1.760 * * * [progress]: picking best candidate
1.781 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
1.781 * * * [progress]: localizing error
1.804 * * * [progress]: generating rewritten candidates
1.804 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
1.859 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1)
1.873 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1)
1.928 * * * [progress]: generating series expansions
1.928 * * * * [progress]: [ 1 / 3 ] generating series at (2)
1.928 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
1.928 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
1.928 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
1.928 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
1.928 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.928 * [taylor]: Taking taylor expansion of y in z
1.928 * [backup-simplify]: Simplify y into y
1.928 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
1.928 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.928 * [taylor]: Taking taylor expansion of x in z
1.928 * [backup-simplify]: Simplify x into x
1.928 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.928 * [taylor]: Taking taylor expansion of z in z
1.928 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify 1 into 1
1.929 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.929 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.929 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
1.929 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
1.929 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
1.929 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.929 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.930 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
1.931 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
1.931 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
1.931 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.931 * [taylor]: Taking taylor expansion of y in y
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 1 into 1
1.931 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
1.931 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.931 * [taylor]: Taking taylor expansion of x in y
1.931 * [backup-simplify]: Simplify x into x
1.931 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.931 * [taylor]: Taking taylor expansion of z in y
1.931 * [backup-simplify]: Simplify z into z
1.931 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.931 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.932 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
1.932 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
1.932 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
1.932 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
1.932 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.933 * [backup-simplify]: Simplify (+ 0 0) into 0
1.933 * [backup-simplify]: Simplify (+ 0 0) into 0
1.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
1.934 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.934 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.934 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.934 * [taylor]: Taking taylor expansion of y in x
1.934 * [backup-simplify]: Simplify y into y
1.934 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.934 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.934 * [taylor]: Taking taylor expansion of x in x
1.934 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify 1 into 1
1.934 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.934 * [taylor]: Taking taylor expansion of z in x
1.934 * [backup-simplify]: Simplify z into z
1.934 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.934 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.934 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.935 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.935 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.935 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.935 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.935 * [backup-simplify]: Simplify (+ 0 0) into 0
1.936 * [backup-simplify]: Simplify (+ 0 0) into 0
1.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.936 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
1.936 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
1.936 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.936 * [taylor]: Taking taylor expansion of y in x
1.936 * [backup-simplify]: Simplify y into y
1.936 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
1.936 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.936 * [taylor]: Taking taylor expansion of x in x
1.936 * [backup-simplify]: Simplify 0 into 0
1.936 * [backup-simplify]: Simplify 1 into 1
1.937 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.937 * [taylor]: Taking taylor expansion of z in x
1.937 * [backup-simplify]: Simplify z into z
1.937 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.937 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.937 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.937 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
1.937 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
1.938 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.938 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.938 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
1.939 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
1.939 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.939 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.939 * [taylor]: Taking taylor expansion of y in y
1.939 * [backup-simplify]: Simplify 0 into 0
1.939 * [backup-simplify]: Simplify 1 into 1
1.939 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.939 * [taylor]: Taking taylor expansion of z in y
1.939 * [backup-simplify]: Simplify z into z
1.939 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.940 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.940 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
1.940 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.940 * [backup-simplify]: Simplify (+ 0 0) into 0
1.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
1.941 * [taylor]: Taking taylor expansion of z in z
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [taylor]: Taking taylor expansion of 0 in y
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [taylor]: Taking taylor expansion of 0 in z
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [taylor]: Taking taylor expansion of 0 in z
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.942 * [backup-simplify]: Simplify (* 1 1) into 1
1.942 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.943 * [backup-simplify]: Simplify (+ 1 0) into 1
1.943 * [backup-simplify]: Simplify (+ 0 1) into 1
1.944 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
1.944 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
1.944 * [taylor]: Taking taylor expansion of 1/2 in y
1.944 * [backup-simplify]: Simplify 1/2 into 1/2
1.944 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
1.945 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
1.945 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
1.945 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.945 * [taylor]: Taking taylor expansion of y in y
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 1 into 1
1.945 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.945 * [taylor]: Taking taylor expansion of z in y
1.945 * [backup-simplify]: Simplify z into z
1.945 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.945 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
1.945 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.945 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
1.945 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.946 * [backup-simplify]: Simplify (+ 0 0) into 0
1.946 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
1.946 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
1.946 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.946 * [taylor]: Taking taylor expansion of 1/2 in z
1.946 * [backup-simplify]: Simplify 1/2 into 1/2
1.947 * [taylor]: Taking taylor expansion of z in z
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify 1 into 1
1.947 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [taylor]: Taking taylor expansion of 0 in z
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify 0 into 0
1.948 * [backup-simplify]: Simplify (* 1 1) into 1
1.949 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.949 * [backup-simplify]: Simplify (+ 1 0) into 1
1.950 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
1.950 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
1.950 * [taylor]: Taking taylor expansion of 1/2 in z
1.950 * [backup-simplify]: Simplify 1/2 into 1/2
1.950 * [taylor]: Taking taylor expansion of z in z
1.950 * [backup-simplify]: Simplify 0 into 0
1.950 * [backup-simplify]: Simplify 1 into 1
1.951 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify 0 into 0
1.953 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
1.953 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
1.953 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
1.953 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
1.953 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
1.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
1.953 * [taylor]: Taking taylor expansion of (pow y 2) in z
1.953 * [taylor]: Taking taylor expansion of y in z
1.953 * [backup-simplify]: Simplify y into y
1.954 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.954 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
1.954 * [taylor]: Taking taylor expansion of (pow x 2) in z
1.954 * [taylor]: Taking taylor expansion of x in z
1.954 * [backup-simplify]: Simplify x into x
1.954 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.954 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.954 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.954 * [taylor]: Taking taylor expansion of z in z
1.954 * [backup-simplify]: Simplify 0 into 0
1.954 * [backup-simplify]: Simplify 1 into 1
1.955 * [backup-simplify]: Simplify (* 1 1) into 1
1.958 * [backup-simplify]: Simplify (/ 1 1) into 1
1.959 * [backup-simplify]: Simplify (+ 0 1) into 1
1.959 * [backup-simplify]: Simplify (+ 0 1) into 1
1.960 * [backup-simplify]: Simplify (sqrt 1) into 1
1.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.962 * [backup-simplify]: Simplify (+ 0 0) into 0
1.962 * [backup-simplify]: Simplify (+ 0 0) into 0
1.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
1.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
1.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.963 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.963 * [taylor]: Taking taylor expansion of y in y
1.963 * [backup-simplify]: Simplify 0 into 0
1.963 * [backup-simplify]: Simplify 1 into 1
1.964 * [backup-simplify]: Simplify (* 1 1) into 1
1.964 * [backup-simplify]: Simplify (/ 1 1) into 1
1.964 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
1.964 * [taylor]: Taking taylor expansion of (pow x 2) in y
1.964 * [taylor]: Taking taylor expansion of x in y
1.964 * [backup-simplify]: Simplify x into x
1.964 * [backup-simplify]: Simplify (* x x) into (pow x 2)
1.964 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
1.964 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.964 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.964 * [taylor]: Taking taylor expansion of z in y
1.965 * [backup-simplify]: Simplify z into z
1.965 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.965 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.965 * [backup-simplify]: Simplify (+ 1 0) into 1
1.966 * [backup-simplify]: Simplify (sqrt 1) into 1
1.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.967 * [backup-simplify]: Simplify (+ 0 0) into 0
1.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.968 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.968 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.968 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.968 * [taylor]: Taking taylor expansion of y in x
1.968 * [backup-simplify]: Simplify y into y
1.968 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.969 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.969 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.969 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.969 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.969 * [taylor]: Taking taylor expansion of x in x
1.969 * [backup-simplify]: Simplify 0 into 0
1.969 * [backup-simplify]: Simplify 1 into 1
1.969 * [backup-simplify]: Simplify (* 1 1) into 1
1.970 * [backup-simplify]: Simplify (/ 1 1) into 1
1.970 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.970 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.970 * [taylor]: Taking taylor expansion of z in x
1.970 * [backup-simplify]: Simplify z into z
1.970 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.970 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.971 * [backup-simplify]: Simplify (+ 1 0) into 1
1.971 * [backup-simplify]: Simplify (+ 0 1) into 1
1.971 * [backup-simplify]: Simplify (sqrt 1) into 1
1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.972 * [backup-simplify]: Simplify (+ 0 0) into 0
1.972 * [backup-simplify]: Simplify (+ 0 0) into 0
1.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
1.973 * [taylor]: Taking taylor expansion of (pow y 2) in x
1.973 * [taylor]: Taking taylor expansion of y in x
1.973 * [backup-simplify]: Simplify y into y
1.973 * [backup-simplify]: Simplify (* y y) into (pow y 2)
1.973 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
1.973 * [taylor]: Taking taylor expansion of (pow x 2) in x
1.973 * [taylor]: Taking taylor expansion of x in x
1.973 * [backup-simplify]: Simplify 0 into 0
1.973 * [backup-simplify]: Simplify 1 into 1
1.973 * [backup-simplify]: Simplify (* 1 1) into 1
1.974 * [backup-simplify]: Simplify (/ 1 1) into 1
1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
1.974 * [taylor]: Taking taylor expansion of (pow z 2) in x
1.974 * [taylor]: Taking taylor expansion of z in x
1.974 * [backup-simplify]: Simplify z into z
1.974 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.974 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.974 * [backup-simplify]: Simplify (+ 1 0) into 1
1.974 * [backup-simplify]: Simplify (+ 0 1) into 1
1.975 * [backup-simplify]: Simplify (sqrt 1) into 1
1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.976 * [backup-simplify]: Simplify (+ 0 0) into 0
1.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.976 * [taylor]: Taking taylor expansion of 1 in y
1.976 * [backup-simplify]: Simplify 1 into 1
1.976 * [taylor]: Taking taylor expansion of 0 in y
1.976 * [backup-simplify]: Simplify 0 into 0
1.976 * [taylor]: Taking taylor expansion of 1 in z
1.976 * [backup-simplify]: Simplify 1 into 1
1.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.978 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.978 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
1.979 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
1.979 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
1.979 * [taylor]: Taking taylor expansion of 1/2 in y
1.979 * [backup-simplify]: Simplify 1/2 into 1/2
1.979 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
1.979 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.979 * [taylor]: Taking taylor expansion of y in y
1.979 * [backup-simplify]: Simplify 0 into 0
1.979 * [backup-simplify]: Simplify 1 into 1
1.979 * [backup-simplify]: Simplify (* 1 1) into 1
1.979 * [backup-simplify]: Simplify (/ 1 1) into 1
1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
1.979 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.979 * [taylor]: Taking taylor expansion of z in y
1.979 * [backup-simplify]: Simplify z into z
1.979 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.980 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.981 * [backup-simplify]: Simplify (+ 0 0) into 0
1.981 * [backup-simplify]: Simplify (+ 1 0) into 1
1.981 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.981 * [taylor]: Taking taylor expansion of 0 in z
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [taylor]: Taking taylor expansion of 0 in z
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [taylor]: Taking taylor expansion of 0 in z
1.981 * [backup-simplify]: Simplify 0 into 0
1.981 * [backup-simplify]: Simplify 1 into 1
1.982 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
1.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
1.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.983 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.983 * [backup-simplify]: Simplify (+ 0 0) into 0
1.984 * [backup-simplify]: Simplify (+ 0 0) into 0
1.984 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
1.984 * [taylor]: Taking taylor expansion of 0 in y
1.984 * [backup-simplify]: Simplify 0 into 0
1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.986 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
1.986 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
1.986 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
1.986 * [taylor]: Taking taylor expansion of 1/2 in z
1.986 * [backup-simplify]: Simplify 1/2 into 1/2
1.986 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
1.986 * [taylor]: Taking taylor expansion of (pow z 2) in z
1.986 * [taylor]: Taking taylor expansion of z in z
1.986 * [backup-simplify]: Simplify 0 into 0
1.986 * [backup-simplify]: Simplify 1 into 1
1.987 * [backup-simplify]: Simplify (* 1 1) into 1
1.987 * [backup-simplify]: Simplify (/ 1 1) into 1
1.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [taylor]: Taking taylor expansion of 0 in z
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [taylor]: Taking taylor expansion of 0 in z
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.988 * [backup-simplify]: Simplify 0 into 0
1.989 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
1.989 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
1.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.990 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
1.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.991 * [backup-simplify]: Simplify (+ 0 0) into 0
1.992 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
1.992 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
1.992 * [taylor]: Taking taylor expansion of -1/2 in y
1.992 * [backup-simplify]: Simplify -1/2 into -1/2
1.992 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
1.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
1.992 * [taylor]: Taking taylor expansion of 1/2 in y
1.992 * [backup-simplify]: Simplify 1/2 into 1/2
1.992 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
1.992 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
1.992 * [taylor]: Taking taylor expansion of (pow z 2) in y
1.992 * [taylor]: Taking taylor expansion of z in y
1.992 * [backup-simplify]: Simplify z into z
1.992 * [taylor]: Taking taylor expansion of (pow y 2) in y
1.992 * [taylor]: Taking taylor expansion of y in y
1.992 * [backup-simplify]: Simplify 0 into 0
1.992 * [backup-simplify]: Simplify 1 into 1
1.992 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.993 * [backup-simplify]: Simplify (* 1 1) into 1
1.993 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
1.993 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
1.993 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
1.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
1.993 * [taylor]: Taking taylor expansion of 1/4 in y
1.993 * [backup-simplify]: Simplify 1/4 into 1/4
1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
1.993 * [taylor]: Taking taylor expansion of (pow y 4) in y
1.993 * [taylor]: Taking taylor expansion of y in y
1.993 * [backup-simplify]: Simplify 0 into 0
1.993 * [backup-simplify]: Simplify 1 into 1
1.993 * [backup-simplify]: Simplify (* 1 1) into 1
1.993 * [backup-simplify]: Simplify (* 1 1) into 1
1.994 * [backup-simplify]: Simplify (/ 1 1) into 1
1.994 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
1.994 * [taylor]: Taking taylor expansion of 1/4 in y
1.994 * [backup-simplify]: Simplify 1/4 into 1/4
1.994 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
1.994 * [taylor]: Taking taylor expansion of (pow z 4) in y
1.994 * [taylor]: Taking taylor expansion of z in y
1.994 * [backup-simplify]: Simplify z into z
1.994 * [backup-simplify]: Simplify (* z z) into (pow z 2)
1.994 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
1.994 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.995 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
1.995 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
1.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
1.996 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
1.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.001 * [backup-simplify]: Simplify (+ 0 0) into 0
2.001 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.002 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.002 * [backup-simplify]: Simplify (+ 0 0) into 0
2.002 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.003 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.003 * [backup-simplify]: Simplify (+ 0 0) into 0
2.003 * [backup-simplify]: Simplify (+ 0 0) into 0
2.004 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.004 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.005 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.006 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.006 * [taylor]: Taking taylor expansion of 0 in z
2.006 * [backup-simplify]: Simplify 0 into 0
2.006 * [taylor]: Taking taylor expansion of 0 in z
2.006 * [backup-simplify]: Simplify 0 into 0
2.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.008 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.009 * [backup-simplify]: Simplify (+ 0 0) into 0
2.010 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.010 * [taylor]: Taking taylor expansion of 0 in z
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [taylor]: Taking taylor expansion of 0 in z
2.010 * [backup-simplify]: Simplify 0 into 0
2.010 * [taylor]: Taking taylor expansion of 0 in z
2.010 * [backup-simplify]: Simplify 0 into 0
2.011 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.014 * [backup-simplify]: Simplify 0 into 0
2.014 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.014 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
2.014 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
2.014 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
2.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.014 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.014 * [taylor]: Taking taylor expansion of y in z
2.015 * [backup-simplify]: Simplify y into y
2.015 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.015 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.015 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.015 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.015 * [taylor]: Taking taylor expansion of x in z
2.015 * [backup-simplify]: Simplify x into x
2.015 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.015 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.015 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.015 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.015 * [taylor]: Taking taylor expansion of z in z
2.015 * [backup-simplify]: Simplify 0 into 0
2.015 * [backup-simplify]: Simplify 1 into 1
2.016 * [backup-simplify]: Simplify (* 1 1) into 1
2.016 * [backup-simplify]: Simplify (/ 1 1) into 1
2.017 * [backup-simplify]: Simplify (+ 0 1) into 1
2.017 * [backup-simplify]: Simplify (+ 0 1) into 1
2.017 * [backup-simplify]: Simplify (sqrt 1) into 1
2.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.019 * [backup-simplify]: Simplify (+ 0 0) into 0
2.019 * [backup-simplify]: Simplify (+ 0 0) into 0
2.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
2.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.020 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.020 * [taylor]: Taking taylor expansion of y in y
2.020 * [backup-simplify]: Simplify 0 into 0
2.020 * [backup-simplify]: Simplify 1 into 1
2.020 * [backup-simplify]: Simplify (* 1 1) into 1
2.021 * [backup-simplify]: Simplify (/ 1 1) into 1
2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.021 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.021 * [taylor]: Taking taylor expansion of x in y
2.021 * [backup-simplify]: Simplify x into x
2.021 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.021 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.021 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.021 * [taylor]: Taking taylor expansion of z in y
2.021 * [backup-simplify]: Simplify z into z
2.021 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.021 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.022 * [backup-simplify]: Simplify (+ 1 0) into 1
2.022 * [backup-simplify]: Simplify (sqrt 1) into 1
2.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.024 * [backup-simplify]: Simplify (+ 0 0) into 0
2.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.025 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.025 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.025 * [taylor]: Taking taylor expansion of y in x
2.025 * [backup-simplify]: Simplify y into y
2.025 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.025 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.025 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.025 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.025 * [taylor]: Taking taylor expansion of x in x
2.025 * [backup-simplify]: Simplify 0 into 0
2.025 * [backup-simplify]: Simplify 1 into 1
2.026 * [backup-simplify]: Simplify (* 1 1) into 1
2.026 * [backup-simplify]: Simplify (/ 1 1) into 1
2.026 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.026 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.026 * [taylor]: Taking taylor expansion of z in x
2.026 * [backup-simplify]: Simplify z into z
2.026 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.026 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.027 * [backup-simplify]: Simplify (+ 1 0) into 1
2.027 * [backup-simplify]: Simplify (+ 0 1) into 1
2.028 * [backup-simplify]: Simplify (sqrt 1) into 1
2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.029 * [backup-simplify]: Simplify (+ 0 0) into 0
2.030 * [backup-simplify]: Simplify (+ 0 0) into 0
2.030 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.030 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
2.030 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.030 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.030 * [taylor]: Taking taylor expansion of y in x
2.031 * [backup-simplify]: Simplify y into y
2.031 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.031 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.031 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.031 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.031 * [taylor]: Taking taylor expansion of x in x
2.031 * [backup-simplify]: Simplify 0 into 0
2.031 * [backup-simplify]: Simplify 1 into 1
2.031 * [backup-simplify]: Simplify (* 1 1) into 1
2.032 * [backup-simplify]: Simplify (/ 1 1) into 1
2.032 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.032 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.032 * [taylor]: Taking taylor expansion of z in x
2.032 * [backup-simplify]: Simplify z into z
2.032 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.033 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.033 * [backup-simplify]: Simplify (+ 1 0) into 1
2.034 * [backup-simplify]: Simplify (+ 0 1) into 1
2.034 * [backup-simplify]: Simplify (sqrt 1) into 1
2.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.036 * [backup-simplify]: Simplify (+ 0 0) into 0
2.036 * [backup-simplify]: Simplify (+ 0 0) into 0
2.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.037 * [taylor]: Taking taylor expansion of 1 in y
2.037 * [backup-simplify]: Simplify 1 into 1
2.037 * [taylor]: Taking taylor expansion of 0 in y
2.037 * [backup-simplify]: Simplify 0 into 0
2.037 * [taylor]: Taking taylor expansion of 1 in z
2.037 * [backup-simplify]: Simplify 1 into 1
2.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.040 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.040 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.041 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
2.041 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
2.041 * [taylor]: Taking taylor expansion of 1/2 in y
2.041 * [backup-simplify]: Simplify 1/2 into 1/2
2.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.042 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.042 * [taylor]: Taking taylor expansion of y in y
2.042 * [backup-simplify]: Simplify 0 into 0
2.042 * [backup-simplify]: Simplify 1 into 1
2.042 * [backup-simplify]: Simplify (* 1 1) into 1
2.042 * [backup-simplify]: Simplify (/ 1 1) into 1
2.042 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.042 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.042 * [taylor]: Taking taylor expansion of z in y
2.042 * [backup-simplify]: Simplify z into z
2.043 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.043 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.044 * [backup-simplify]: Simplify (+ 0 0) into 0
2.045 * [backup-simplify]: Simplify (+ 1 0) into 1
2.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.045 * [taylor]: Taking taylor expansion of 0 in z
2.045 * [backup-simplify]: Simplify 0 into 0
2.045 * [taylor]: Taking taylor expansion of 0 in z
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [taylor]: Taking taylor expansion of 0 in z
2.046 * [backup-simplify]: Simplify 0 into 0
2.046 * [backup-simplify]: Simplify 1 into 1
2.046 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.048 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.049 * [backup-simplify]: Simplify (+ 0 0) into 0
2.050 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
2.050 * [taylor]: Taking taylor expansion of 0 in y
2.050 * [backup-simplify]: Simplify 0 into 0
2.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.052 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.053 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.053 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.053 * [taylor]: Taking taylor expansion of 1/2 in z
2.053 * [backup-simplify]: Simplify 1/2 into 1/2
2.053 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.053 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.053 * [taylor]: Taking taylor expansion of z in z
2.053 * [backup-simplify]: Simplify 0 into 0
2.053 * [backup-simplify]: Simplify 1 into 1
2.053 * [backup-simplify]: Simplify (* 1 1) into 1
2.054 * [backup-simplify]: Simplify (/ 1 1) into 1
2.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.056 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [taylor]: Taking taylor expansion of 0 in z
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [taylor]: Taking taylor expansion of 0 in z
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.056 * [backup-simplify]: Simplify 0 into 0
2.057 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.060 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.061 * [backup-simplify]: Simplify (+ 0 0) into 0
2.061 * [backup-simplify]: Simplify (+ 0 0) into 0
2.063 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
2.063 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
2.063 * [taylor]: Taking taylor expansion of -1/2 in y
2.063 * [backup-simplify]: Simplify -1/2 into -1/2
2.063 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
2.063 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.063 * [taylor]: Taking taylor expansion of 1/2 in y
2.063 * [backup-simplify]: Simplify 1/2 into 1/2
2.063 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.063 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.064 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.064 * [taylor]: Taking taylor expansion of z in y
2.064 * [backup-simplify]: Simplify z into z
2.064 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.064 * [taylor]: Taking taylor expansion of y in y
2.064 * [backup-simplify]: Simplify 0 into 0
2.064 * [backup-simplify]: Simplify 1 into 1
2.064 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.064 * [backup-simplify]: Simplify (* 1 1) into 1
2.064 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.064 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.065 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
2.065 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.065 * [taylor]: Taking taylor expansion of 1/4 in y
2.065 * [backup-simplify]: Simplify 1/4 into 1/4
2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.065 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.065 * [taylor]: Taking taylor expansion of y in y
2.065 * [backup-simplify]: Simplify 0 into 0
2.065 * [backup-simplify]: Simplify 1 into 1
2.065 * [backup-simplify]: Simplify (* 1 1) into 1
2.066 * [backup-simplify]: Simplify (* 1 1) into 1
2.066 * [backup-simplify]: Simplify (/ 1 1) into 1
2.066 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.066 * [taylor]: Taking taylor expansion of 1/4 in y
2.066 * [backup-simplify]: Simplify 1/4 into 1/4
2.066 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.066 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.066 * [taylor]: Taking taylor expansion of z in y
2.066 * [backup-simplify]: Simplify z into z
2.066 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.067 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.067 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.068 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.068 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.069 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.069 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.072 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.078 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.079 * [backup-simplify]: Simplify (+ 0 0) into 0
2.079 * [backup-simplify]: Simplify (+ 0 0) into 0
2.079 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.080 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.081 * [backup-simplify]: Simplify (+ 0 0) into 0
2.081 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.082 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.082 * [backup-simplify]: Simplify (+ 0 0) into 0
2.083 * [backup-simplify]: Simplify (+ 0 0) into 0
2.083 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.084 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
2.084 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.085 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.085 * [taylor]: Taking taylor expansion of 0 in z
2.085 * [backup-simplify]: Simplify 0 into 0
2.085 * [taylor]: Taking taylor expansion of 0 in z
2.085 * [backup-simplify]: Simplify 0 into 0
2.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.093 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.094 * [backup-simplify]: Simplify (+ 0 0) into 0
2.095 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.095 * [taylor]: Taking taylor expansion of 0 in z
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [taylor]: Taking taylor expansion of 0 in z
2.095 * [backup-simplify]: Simplify 0 into 0
2.095 * [taylor]: Taking taylor expansion of 0 in z
2.095 * [backup-simplify]: Simplify 0 into 0
2.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.098 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.098 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.099 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1)
2.099 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2))
2.099 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0
2.099 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y
2.099 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.099 * [taylor]: Taking taylor expansion of y in y
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify 1 into 1
2.099 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.099 * [taylor]: Taking taylor expansion of x in y
2.099 * [backup-simplify]: Simplify x into x
2.099 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.099 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.099 * [taylor]: Taking taylor expansion of y in x
2.099 * [backup-simplify]: Simplify y into y
2.099 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.099 * [taylor]: Taking taylor expansion of x in x
2.099 * [backup-simplify]: Simplify 0 into 0
2.099 * [backup-simplify]: Simplify 1 into 1
2.099 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x
2.099 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.100 * [taylor]: Taking taylor expansion of y in x
2.100 * [backup-simplify]: Simplify y into y
2.100 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.100 * [taylor]: Taking taylor expansion of x in x
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 1 into 1
2.100 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.100 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.100 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.100 * [taylor]: Taking taylor expansion of y in y
2.100 * [backup-simplify]: Simplify 0 into 0
2.100 * [backup-simplify]: Simplify 1 into 1
2.100 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.101 * [backup-simplify]: Simplify (+ 0 0) into 0
2.101 * [taylor]: Taking taylor expansion of 0 in y
2.101 * [backup-simplify]: Simplify 0 into 0
2.101 * [backup-simplify]: Simplify 0 into 0
2.101 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.102 * [backup-simplify]: Simplify (* 1 1) into 1
2.102 * [backup-simplify]: Simplify (+ 0 1) into 1
2.102 * [taylor]: Taking taylor expansion of 1 in y
2.102 * [backup-simplify]: Simplify 1 into 1
2.102 * [backup-simplify]: Simplify 1 into 1
2.102 * [backup-simplify]: Simplify 0 into 0
2.103 * [backup-simplify]: Simplify (* 1 1) into 1
2.103 * [backup-simplify]: Simplify 1 into 1
2.104 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.105 * [backup-simplify]: Simplify (+ 0 0) into 0
2.105 * [taylor]: Taking taylor expansion of 0 in y
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 0 into 0
2.105 * [backup-simplify]: Simplify 0 into 0
2.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.106 * [backup-simplify]: Simplify 0 into 0
2.107 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.109 * [backup-simplify]: Simplify (+ 0 0) into 0
2.109 * [taylor]: Taking taylor expansion of 0 in y
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify 0 into 0
2.109 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2))
2.109 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.109 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
2.110 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.110 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.110 * [taylor]: Taking taylor expansion of y in y
2.110 * [backup-simplify]: Simplify 0 into 0
2.110 * [backup-simplify]: Simplify 1 into 1
2.110 * [backup-simplify]: Simplify (* 1 1) into 1
2.110 * [backup-simplify]: Simplify (/ 1 1) into 1
2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.111 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.111 * [taylor]: Taking taylor expansion of x in y
2.111 * [backup-simplify]: Simplify x into x
2.111 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.111 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.111 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.111 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.111 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.111 * [taylor]: Taking taylor expansion of y in x
2.111 * [backup-simplify]: Simplify y into y
2.111 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.112 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.112 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.112 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.112 * [taylor]: Taking taylor expansion of x in x
2.112 * [backup-simplify]: Simplify 0 into 0
2.112 * [backup-simplify]: Simplify 1 into 1
2.112 * [backup-simplify]: Simplify (* 1 1) into 1
2.113 * [backup-simplify]: Simplify (/ 1 1) into 1
2.113 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.113 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.113 * [taylor]: Taking taylor expansion of y in x
2.113 * [backup-simplify]: Simplify y into y
2.113 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.113 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.113 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.113 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.113 * [taylor]: Taking taylor expansion of x in x
2.113 * [backup-simplify]: Simplify 0 into 0
2.113 * [backup-simplify]: Simplify 1 into 1
2.114 * [backup-simplify]: Simplify (* 1 1) into 1
2.114 * [backup-simplify]: Simplify (/ 1 1) into 1
2.114 * [backup-simplify]: Simplify (+ 0 1) into 1
2.114 * [taylor]: Taking taylor expansion of 1 in y
2.114 * [backup-simplify]: Simplify 1 into 1
2.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.116 * [backup-simplify]: Simplify (+ 0 0) into 0
2.116 * [taylor]: Taking taylor expansion of 0 in y
2.116 * [backup-simplify]: Simplify 0 into 0
2.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.117 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.117 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.117 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.117 * [taylor]: Taking taylor expansion of y in y
2.117 * [backup-simplify]: Simplify 0 into 0
2.117 * [backup-simplify]: Simplify 1 into 1
2.117 * [backup-simplify]: Simplify (* 1 1) into 1
2.117 * [backup-simplify]: Simplify (/ 1 1) into 1
2.117 * [backup-simplify]: Simplify 1 into 1
2.118 * [backup-simplify]: Simplify 1 into 1
2.118 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.119 * [backup-simplify]: Simplify (+ 0 0) into 0
2.119 * [taylor]: Taking taylor expansion of 0 in y
2.119 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 0 into 0
2.120 * [backup-simplify]: Simplify 0 into 0
2.121 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.122 * [backup-simplify]: Simplify (+ 0 0) into 0
2.123 * [taylor]: Taking taylor expansion of 0 in y
2.123 * [backup-simplify]: Simplify 0 into 0
2.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2))
2.124 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))
2.124 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0
2.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y
2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.124 * [taylor]: Taking taylor expansion of y in y
2.124 * [backup-simplify]: Simplify 0 into 0
2.124 * [backup-simplify]: Simplify 1 into 1
2.124 * [backup-simplify]: Simplify (* 1 1) into 1
2.125 * [backup-simplify]: Simplify (/ 1 1) into 1
2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.125 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.125 * [taylor]: Taking taylor expansion of x in y
2.125 * [backup-simplify]: Simplify x into x
2.125 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.125 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.125 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.125 * [taylor]: Taking taylor expansion of y in x
2.125 * [backup-simplify]: Simplify y into y
2.125 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.125 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.125 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.125 * [taylor]: Taking taylor expansion of x in x
2.125 * [backup-simplify]: Simplify 0 into 0
2.125 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (* 1 1) into 1
2.126 * [backup-simplify]: Simplify (/ 1 1) into 1
2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x
2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.126 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.126 * [taylor]: Taking taylor expansion of y in x
2.126 * [backup-simplify]: Simplify y into y
2.126 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.126 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.126 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.126 * [taylor]: Taking taylor expansion of x in x
2.126 * [backup-simplify]: Simplify 0 into 0
2.126 * [backup-simplify]: Simplify 1 into 1
2.126 * [backup-simplify]: Simplify (* 1 1) into 1
2.127 * [backup-simplify]: Simplify (/ 1 1) into 1
2.127 * [backup-simplify]: Simplify (+ 0 1) into 1
2.127 * [taylor]: Taking taylor expansion of 1 in y
2.127 * [backup-simplify]: Simplify 1 into 1
2.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.128 * [backup-simplify]: Simplify (+ 0 0) into 0
2.128 * [taylor]: Taking taylor expansion of 0 in y
2.128 * [backup-simplify]: Simplify 0 into 0
2.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.129 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2))
2.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.129 * [taylor]: Taking taylor expansion of y in y
2.129 * [backup-simplify]: Simplify 0 into 0
2.129 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify (* 1 1) into 1
2.130 * [backup-simplify]: Simplify (/ 1 1) into 1
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify 1 into 1
2.130 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.131 * [backup-simplify]: Simplify (+ 0 0) into 0
2.131 * [taylor]: Taking taylor expansion of 0 in y
2.131 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.132 * [backup-simplify]: Simplify 0 into 0
2.133 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.135 * [backup-simplify]: Simplify (+ 0 0) into 0
2.135 * [taylor]: Taking taylor expansion of 0 in y
2.135 * [backup-simplify]: Simplify 0 into 0
2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify 0 into 0
2.136 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2))
2.137 * * * * [progress]: [ 3 / 3 ] generating series at (2 1)
2.137 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.137 * [approximate]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in (x y z) around 0
2.137 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
2.137 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.137 * [taylor]: Taking taylor expansion of y in z
2.137 * [backup-simplify]: Simplify y into y
2.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
2.137 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.137 * [taylor]: Taking taylor expansion of x in z
2.137 * [backup-simplify]: Simplify x into x
2.137 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.137 * [taylor]: Taking taylor expansion of z in z
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
2.137 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.137 * [taylor]: Taking taylor expansion of y in y
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
2.137 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.137 * [taylor]: Taking taylor expansion of x in y
2.137 * [backup-simplify]: Simplify x into x
2.137 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.137 * [taylor]: Taking taylor expansion of z in y
2.137 * [backup-simplify]: Simplify z into z
2.137 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.137 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.137 * [taylor]: Taking taylor expansion of y in x
2.137 * [backup-simplify]: Simplify y into y
2.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.137 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.137 * [taylor]: Taking taylor expansion of x in x
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.137 * [taylor]: Taking taylor expansion of z in x
2.137 * [backup-simplify]: Simplify z into z
2.137 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
2.137 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.137 * [taylor]: Taking taylor expansion of y in x
2.137 * [backup-simplify]: Simplify y into y
2.137 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
2.137 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.137 * [taylor]: Taking taylor expansion of x in x
2.137 * [backup-simplify]: Simplify 0 into 0
2.137 * [backup-simplify]: Simplify 1 into 1
2.137 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.137 * [taylor]: Taking taylor expansion of z in x
2.137 * [backup-simplify]: Simplify z into z
2.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.138 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.138 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.138 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.138 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.138 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.138 * [taylor]: Taking taylor expansion of y in y
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify 1 into 1
2.138 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.138 * [taylor]: Taking taylor expansion of z in y
2.138 * [backup-simplify]: Simplify z into z
2.138 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.138 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.138 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.138 * [taylor]: Taking taylor expansion of z in z
2.138 * [backup-simplify]: Simplify 0 into 0
2.138 * [backup-simplify]: Simplify 1 into 1
2.138 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.138 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.139 * [backup-simplify]: Simplify (+ 0 0) into 0
2.139 * [backup-simplify]: Simplify (+ 0 0) into 0
2.139 * [taylor]: Taking taylor expansion of 0 in y
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [taylor]: Taking taylor expansion of 0 in z
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.139 * [backup-simplify]: Simplify (+ 0 0) into 0
2.139 * [taylor]: Taking taylor expansion of 0 in z
2.139 * [backup-simplify]: Simplify 0 into 0
2.139 * [backup-simplify]: Simplify 0 into 0
2.140 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.140 * [backup-simplify]: Simplify (* 1 1) into 1
2.140 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.141 * [backup-simplify]: Simplify (+ 1 0) into 1
2.141 * [backup-simplify]: Simplify (+ 0 1) into 1
2.141 * [taylor]: Taking taylor expansion of 1 in y
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [taylor]: Taking taylor expansion of 1 in z
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [backup-simplify]: Simplify 1 into 1
2.141 * [taylor]: Taking taylor expansion of 0 in z
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify 0 into 0
2.141 * [backup-simplify]: Simplify (* 1 1) into 1
2.142 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.142 * [backup-simplify]: Simplify (+ 1 0) into 1
2.142 * [taylor]: Taking taylor expansion of 1 in z
2.142 * [backup-simplify]: Simplify 1 into 1
2.142 * [backup-simplify]: Simplify 1 into 1
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify 0 into 0
2.142 * [backup-simplify]: Simplify (* 1 1) into 1
2.142 * [backup-simplify]: Simplify 1 into 1
2.143 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.143 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
2.143 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.143 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.143 * [taylor]: Taking taylor expansion of y in z
2.143 * [backup-simplify]: Simplify y into y
2.143 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.143 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
2.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.143 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.143 * [taylor]: Taking taylor expansion of x in z
2.143 * [backup-simplify]: Simplify x into x
2.144 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.144 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.144 * [taylor]: Taking taylor expansion of z in z
2.144 * [backup-simplify]: Simplify 0 into 0
2.144 * [backup-simplify]: Simplify 1 into 1
2.144 * [backup-simplify]: Simplify (* 1 1) into 1
2.144 * [backup-simplify]: Simplify (/ 1 1) into 1
2.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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
2.145 * [backup-simplify]: Simplify (* 1 1) into 1
2.145 * [backup-simplify]: Simplify (/ 1 1) into 1
2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.145 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.145 * [taylor]: Taking taylor expansion of x in y
2.145 * [backup-simplify]: Simplify x into x
2.145 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.145 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.145 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.145 * [taylor]: Taking taylor expansion of z in y
2.145 * [backup-simplify]: Simplify z into z
2.145 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.145 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.145 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.145 * [taylor]: Taking taylor expansion of y in x
2.145 * [backup-simplify]: Simplify y into y
2.145 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.145 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.145 * [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 * [backup-simplify]: Simplify (* 1 1) into 1
2.146 * [backup-simplify]: Simplify (/ 1 1) into 1
2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
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 (* z z) into (pow z 2)
2.146 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
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 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.147 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.147 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.147 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.147 * [taylor]: Taking taylor expansion of x in x
2.147 * [backup-simplify]: Simplify 0 into 0
2.147 * [backup-simplify]: Simplify 1 into 1
2.147 * [backup-simplify]: Simplify (* 1 1) into 1
2.147 * [backup-simplify]: Simplify (/ 1 1) into 1
2.147 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.148 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.148 * [taylor]: Taking taylor expansion of z in x
2.148 * [backup-simplify]: Simplify z into z
2.148 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.148 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.148 * [backup-simplify]: Simplify (+ 1 0) into 1
2.149 * [backup-simplify]: Simplify (+ 0 1) into 1
2.149 * [taylor]: Taking taylor expansion of 1 in y
2.149 * [backup-simplify]: Simplify 1 into 1
2.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.151 * [backup-simplify]: Simplify (+ 0 0) into 0
2.151 * [backup-simplify]: Simplify (+ 0 0) into 0
2.151 * [taylor]: Taking taylor expansion of 0 in y
2.151 * [backup-simplify]: Simplify 0 into 0
2.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.154 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.154 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.154 * [taylor]: Taking taylor expansion of y in y
2.154 * [backup-simplify]: Simplify 0 into 0
2.154 * [backup-simplify]: Simplify 1 into 1
2.155 * [backup-simplify]: Simplify (* 1 1) into 1
2.155 * [backup-simplify]: Simplify (/ 1 1) into 1
2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.155 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.155 * [taylor]: Taking taylor expansion of z in y
2.155 * [backup-simplify]: Simplify z into z
2.156 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.156 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.156 * [backup-simplify]: Simplify (+ 1 0) into 1
2.156 * [taylor]: Taking taylor expansion of 1 in z
2.156 * [backup-simplify]: Simplify 1 into 1
2.156 * [taylor]: Taking taylor expansion of 1 in z
2.156 * [backup-simplify]: Simplify 1 into 1
2.156 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.159 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.160 * [backup-simplify]: Simplify (+ 0 0) into 0
2.160 * [taylor]: Taking taylor expansion of 0 in y
2.160 * [backup-simplify]: Simplify 0 into 0
2.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.162 * [backup-simplify]: Simplify (+ 0 0) into 0
2.162 * [taylor]: Taking taylor expansion of 0 in z
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [taylor]: Taking taylor expansion of 0 in z
2.162 * [backup-simplify]: Simplify 0 into 0
2.162 * [taylor]: Taking taylor expansion of 0 in z
2.162 * [backup-simplify]: Simplify 0 into 0
2.163 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.166 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.167 * [backup-simplify]: Simplify (+ 0 0) into 0
2.167 * [backup-simplify]: Simplify (+ 0 0) into 0
2.167 * [taylor]: Taking taylor expansion of 0 in y
2.167 * [backup-simplify]: Simplify 0 into 0
2.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.169 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.169 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.169 * [taylor]: Taking taylor expansion of z in z
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 1 into 1
2.169 * [backup-simplify]: Simplify (* 1 1) into 1
2.169 * [backup-simplify]: Simplify (/ 1 1) into 1
2.169 * [backup-simplify]: Simplify 1 into 1
2.169 * [taylor]: Taking taylor expansion of 0 in z
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [taylor]: Taking taylor expansion of 0 in z
2.169 * [backup-simplify]: Simplify 0 into 0
2.169 * [backup-simplify]: Simplify 1 into 1
2.169 * [backup-simplify]: Simplify 1 into 1
2.170 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.170 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
2.170 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in (x y z) around 0
2.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.171 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.171 * [taylor]: Taking taylor expansion of y in z
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 x 2)) (/ 1 (pow z 2))) in z
2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.171 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.171 * [taylor]: Taking taylor expansion of x in z
2.171 * [backup-simplify]: Simplify x into x
2.171 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.171 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.171 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.171 * [taylor]: Taking taylor expansion of z in z
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [backup-simplify]: Simplify 1 into 1
2.171 * [backup-simplify]: Simplify (* 1 1) into 1
2.172 * [backup-simplify]: Simplify (/ 1 1) into 1
2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.172 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.172 * [taylor]: Taking taylor expansion of y in y
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.172 * [backup-simplify]: Simplify (* 1 1) into 1
2.172 * [backup-simplify]: Simplify (/ 1 1) into 1
2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.172 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.172 * [taylor]: Taking taylor expansion of x in y
2.172 * [backup-simplify]: Simplify x into x
2.172 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.173 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.173 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.173 * [taylor]: Taking taylor expansion of z in y
2.173 * [backup-simplify]: Simplify z into z
2.173 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.173 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.173 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.173 * [taylor]: Taking taylor expansion of y in x
2.173 * [backup-simplify]: Simplify y into y
2.173 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.173 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.173 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.173 * [taylor]: Taking taylor expansion of x in x
2.173 * [backup-simplify]: Simplify 0 into 0
2.173 * [backup-simplify]: Simplify 1 into 1
2.173 * [backup-simplify]: Simplify (* 1 1) into 1
2.174 * [backup-simplify]: Simplify (/ 1 1) into 1
2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.174 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.174 * [taylor]: Taking taylor expansion of z in x
2.174 * [backup-simplify]: Simplify z into z
2.174 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.174 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.174 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.174 * [taylor]: Taking taylor expansion of y in x
2.174 * [backup-simplify]: Simplify y into y
2.174 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.174 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.174 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.174 * [taylor]: Taking taylor expansion of x in x
2.174 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify 1 into 1
2.174 * [backup-simplify]: Simplify (* 1 1) into 1
2.175 * [backup-simplify]: Simplify (/ 1 1) into 1
2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.175 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.175 * [taylor]: Taking taylor expansion of z in x
2.175 * [backup-simplify]: Simplify z into z
2.175 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.175 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.175 * [backup-simplify]: Simplify (+ 1 0) into 1
2.175 * [backup-simplify]: Simplify (+ 0 1) into 1
2.175 * [taylor]: Taking taylor expansion of 1 in y
2.175 * [backup-simplify]: Simplify 1 into 1
2.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.177 * [backup-simplify]: Simplify (+ 0 0) into 0
2.177 * [backup-simplify]: Simplify (+ 0 0) into 0
2.177 * [taylor]: Taking taylor expansion of 0 in y
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.178 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.178 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
2.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.178 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.178 * [taylor]: Taking taylor expansion of y in y
2.178 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify 1 into 1
2.179 * [backup-simplify]: Simplify (* 1 1) into 1
2.179 * [backup-simplify]: Simplify (/ 1 1) into 1
2.179 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.179 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.179 * [taylor]: Taking taylor expansion of z in y
2.179 * [backup-simplify]: Simplify z into z
2.179 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.179 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.180 * [backup-simplify]: Simplify (+ 1 0) into 1
2.180 * [taylor]: Taking taylor expansion of 1 in z
2.180 * [backup-simplify]: Simplify 1 into 1
2.180 * [taylor]: Taking taylor expansion of 1 in z
2.180 * [backup-simplify]: Simplify 1 into 1
2.180 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.181 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.182 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.182 * [backup-simplify]: Simplify (+ 0 0) into 0
2.182 * [backup-simplify]: Simplify (+ 0 0) into 0
2.182 * [taylor]: Taking taylor expansion of 0 in y
2.182 * [backup-simplify]: Simplify 0 into 0
2.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.183 * [backup-simplify]: Simplify (+ 0 0) into 0
2.183 * [taylor]: Taking taylor expansion of 0 in z
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [taylor]: Taking taylor expansion of 0 in z
2.183 * [backup-simplify]: Simplify 0 into 0
2.183 * [taylor]: Taking taylor expansion of 0 in z
2.183 * [backup-simplify]: Simplify 0 into 0
2.184 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.186 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.186 * [backup-simplify]: Simplify (+ 0 0) into 0
2.187 * [backup-simplify]: Simplify (+ 0 0) into 0
2.187 * [taylor]: Taking taylor expansion of 0 in y
2.187 * [backup-simplify]: Simplify 0 into 0
2.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.188 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
2.188 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.188 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.188 * [taylor]: Taking taylor expansion of z in z
2.188 * [backup-simplify]: Simplify 0 into 0
2.188 * [backup-simplify]: Simplify 1 into 1
2.188 * [backup-simplify]: Simplify (* 1 1) into 1
2.189 * [backup-simplify]: Simplify (/ 1 1) into 1
2.189 * [backup-simplify]: Simplify 1 into 1
2.189 * [taylor]: Taking taylor expansion of 0 in z
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [taylor]: Taking taylor expansion of 0 in z
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify 1 into 1
2.189 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.190 * * * [progress]: simplifying candidates
2.191 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  (expm1 (+ (+ (* x x) (* y y)) (* z z)))
  (log1p (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (exp (* x x)) (exp (* y y))) (exp (* z z)))
  (* (exp (+ (* x x) (* y y))) (exp (* z z)))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  z
  x
  (* -1 x)
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (pow x 2))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
  (+ (pow y 2) (+ (pow x 2) (pow z 2)))
2.192 * * [simplify]: iteration 0: 80 enodes
2.216 * * [simplify]: iteration 1: 253 enodes
2.382 * * [simplify]: iteration 2: 1572 enodes
3.096 * * [simplify]: iteration complete: 5000 enodes
3.097 * * [simplify]: Extracting #0: cost 46 inf + 0
3.099 * * [simplify]: Extracting #1: cost 509 inf + 4
3.109 * * [simplify]: Extracting #2: cost 1519 inf + 620
3.124 * * [simplify]: Extracting #3: cost 776 inf + 5760
3.138 * * [simplify]: Extracting #4: cost 155 inf + 11675
3.152 * * [simplify]: Extracting #5: cost 19 inf + 12378
3.170 * * [simplify]: Extracting #6: cost 0 inf + 12525
3.184 * [simplify]: Simplified to:
  (expm1 (sqrt (fma x x (fma y y (* z z)))))
  (log1p (sqrt (fma x x (fma y y (* z z)))))
  (log (sqrt (fma x x (fma y y (* z z)))))
  (exp (sqrt (fma x x (fma y y (* z z)))))
  (* (cbrt (sqrt (fma x x (fma y y (* z z))))) (cbrt (sqrt (fma x x (fma y y (* z z))))))
  (cbrt (sqrt (fma x x (fma y y (* z z)))))
  (pow (sqrt (fma x x (fma y y (* z z)))) 3)
  (fabs (cbrt (fma x x (fma y y (* z z)))))
  (sqrt (cbrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  1
  (sqrt (fma x x (fma y y (* z z))))
  (hypot (pow z 3) (pow (fma x x (* y y)) 3/2))
  (sqrt (fma (* z z) (fma z z (- (fma x x (* y y)))) (* (fma x x (* y y)) (fma x x (* y y)))))
  (sqrt (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4)))
  (sqrt (fma x x (fma y y (- (* z z)))))
  1/2
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (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)
  (+ (pow y 6) (pow x 6))
  (fma (* y y) (* (+ y x) (- y x)) (pow x 4))
  (- (pow x 4) (pow y 4))
  (fma y (- y) (* x x))
  (expm1 (fma x x (fma y y (* z z))))
  (log1p (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (log (fma x x (fma y y (* z z))))
  (exp (fma x x (fma y y (* z z))))
  (* (cbrt (fma x x (fma y y (* z z)))) (cbrt (fma x x (fma y y (* z z)))))
  (cbrt (fma x x (fma y y (* z z))))
  (pow (fma x x (fma y y (* z z))) 3)
  (sqrt (fma x x (fma y y (* z z))))
  (sqrt (fma x x (fma y y (* z z))))
  (+ (pow (fma x x (* y y)) 3) (pow z 6))
  (fma (* z z) (fma z z (- (fma x x (* y y)))) (* (fma x x (* y y)) (fma x x (* y y))))
  (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4))
  (fma x x (fma y y (- (* z z))))
  (fma y y (* z z))
  z
  x
  (- x)
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
3.184 * * * [progress]: adding candidates to table
3.565 * * [progress]: iteration 3 / 4
3.565 * * * [progress]: picking best candidate
3.582 * * * * [pick]: Picked  #<alt (λ (x y z) z)>
3.582 * * * [progress]: localizing error
3.584 * * * [progress]: generating rewritten candidates
3.584 * * * [progress]: generating series expansions
3.584 * * * [progress]: simplifying candidates
3.584 * [simplify]: Simplifying:
  
3.584 * * [simplify]: iteration 0: 0 enodes
3.584 * * [simplify]: iteration complete: 0 enodes
3.584 * * [simplify]: Extracting #0: cost 0 inf + 0
3.584 * [simplify]: Simplified to:
  
3.584 * * * [progress]: adding candidates to table
3.585 * * [progress]: iteration 4 / 4
3.585 * * * [progress]: picking best candidate
3.599 * * * * [pick]: Picked  #<alt (λ (x y z) (- z))>
3.599 * * * [progress]: localizing error
3.603 * * * [progress]: generating rewritten candidates
3.603 * * * [progress]: generating series expansions
3.603 * * * [progress]: simplifying candidates
3.603 * [simplify]: Simplifying:
  
3.603 * * [simplify]: iteration 0: 0 enodes
3.603 * * [simplify]: iteration complete: 0 enodes
3.604 * * [simplify]: Extracting #0: cost 0 inf + 0
3.604 * [simplify]: Simplified to:
  
3.604 * * * [progress]: adding candidates to table
3.604 * [progress]: [Phase 3 of 3] Extracting.
3.604 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
3.605 * * * [regime-changes]: Trying 9 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (sqrt (+ (+ (* x x) (* y y)) (* z z))) z y x)
3.605 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
3.684 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))>)
3.733 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
3.782 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
3.842 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
3.930 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
3.997 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
4.059 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) z)>)
4.111 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
4.170 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
4.242 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
4.314 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
4.412 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
4.506 * * * [regime]: Found split indices: #<option (#s(si 2 44) #s(si 0 226) #s(si 5 255))>
4.506 * [binary-search]: Improving bounds with binary search for z and (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
4.582 * [regimes]: Found splitpoints: (#s(sp 2 z -2.0158187983075897e+101) #s(sp 0 z 6.823938244536721e+139) #s(sp 5 z +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (fma z z (fma y y (* x x)))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (- z))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)>)
4.583 * [simplify]: Simplifying:
  (if (<= z -2.0158187983075897e+101) (- z) (if (<= z 6.823938244536721e+139) (sqrt (fma z z (fma y y (* x x)))) z))
4.583 * * [simplify]: iteration 0: 14 enodes
4.583 * * [simplify]: iteration complete: 14 enodes
4.583 * * [simplify]: Extracting #0: cost 1 inf + 0
4.583 * * [simplify]: Extracting #1: cost 4 inf + 0
4.583 * * [simplify]: Extracting #2: cost 8 inf + 0
4.583 * * [simplify]: Extracting #3: cost 8 inf + 2
4.583 * * [simplify]: Extracting #4: cost 5 inf + 11
4.583 * * [simplify]: Extracting #5: cost 7 inf + 11
4.583 * * [simplify]: Extracting #6: cost 7 inf + 12
4.584 * * [simplify]: Extracting #7: cost 6 inf + 13
4.584 * * [simplify]: Extracting #8: cost 4 inf + 22
4.584 * * [simplify]: Extracting #9: cost 2 inf + 41
4.584 * * [simplify]: Extracting #10: cost 0 inf + 77
4.584 * [simplify]: Simplified to:
  (if (<= z -2.0158187983075897e+101) (- z) (if (<= z 6.823938244536721e+139) (sqrt (fma z z (fma y y (* x x)))) z))
6.589 * [regime-testing]: Baseline error score: 37.693232712958036
6.591 * [regime-testing]: Oracle error score: 12.328646190943083
6.595 * [regime-testing]: End program error score: 25.65128068150619
6.693 * [regime-testing]: Target error score: 25.575088225660046