278.019 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.036 * * * [progress]: [2/2] Setting up program.
0.043 * [progress]: [Phase 2 of 3] Improving.
0.044 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.044 * * [simplify]: Extracting # 0 : cost  0
0.044 * * [simplify]: Extracting # 1 : cost  0
0.044 * * [simplify]: Extracting # 2 : cost  0
0.044 * * [simplify]: Extracting # 3 : cost  0
0.044 * * [simplify]: Extracting # 4 : cost  0
0.044 * * [simplify]: Extracting # 5 : cost  0
0.045 * * [simplify]: Extracting # 6 : cost  0
0.045 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.048 * * [simplify]: Extracting # 0 : cost  0
0.048 * * [simplify]: Extracting # 1 : cost  0
0.048 * * [simplify]: Extracting # 2 : cost  0
0.048 * * [simplify]: iteration  1 :  13  enodes  (cost  12 )
0.052 * * [simplify]: Extracting # 0 : cost  0
0.052 * * [simplify]: Extracting # 1 : cost  0
0.053 * * [simplify]: Extracting # 2 : cost  0
0.053 * * [simplify]: iteration  2 :  20  enodes  (cost  12 )
0.059 * * [simplify]: Extracting # 0 : cost  0
0.059 * * [simplify]: iteration  3 :  22  enodes  (cost  12 )
0.064 * * [simplify]: Extracting # 0 : cost  0
0.064 * * [simplify]: iteration done:  22  enodes  (cost  12 )
0.064 * [simplify]: Simplified to:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.065 * * [progress]: iteration 1 / 4
0.065 * * * [progress]: picking best candidate
0.071 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.071 * * * [progress]: localizing error
0.095 * * * [progress]: generating rewritten candidates
0.095 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.162 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.216 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
0.235 * * * [progress]: generating series expansions
0.235 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.236 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.236 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.236 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.236 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.236 * [taylor]: Taking taylor expansion of x in z
0.236 * [backup-simplify]: Simplify x into x
0.236 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.236 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.236 * [taylor]: Taking taylor expansion of y in z
0.236 * [backup-simplify]: Simplify y into y
0.236 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.236 * [taylor]: Taking taylor expansion of z in z
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.236 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.236 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.237 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.237 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.237 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.237 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.239 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.239 * [taylor]: Taking taylor expansion of x in y
0.239 * [backup-simplify]: Simplify x into x
0.239 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.239 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.239 * [taylor]: Taking taylor expansion of y in y
0.239 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify 1 into 1
0.239 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.239 * [taylor]: Taking taylor expansion of z in y
0.239 * [backup-simplify]: Simplify z into z
0.239 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.239 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.239 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.239 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.240 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.240 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.240 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.241 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.241 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.241 * [taylor]: Taking taylor expansion of x in x
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 1 into 1
0.241 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.241 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.241 * [taylor]: Taking taylor expansion of y in x
0.241 * [backup-simplify]: Simplify y into y
0.241 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.241 * [taylor]: Taking taylor expansion of z in x
0.241 * [backup-simplify]: Simplify z into z
0.241 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.241 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.242 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.242 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.242 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.242 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.243 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.244 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.244 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.244 * [taylor]: Taking taylor expansion of x in x
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [backup-simplify]: Simplify 1 into 1
0.244 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.244 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.244 * [taylor]: Taking taylor expansion of y in x
0.244 * [backup-simplify]: Simplify y into y
0.244 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.244 * [taylor]: Taking taylor expansion of z in x
0.244 * [backup-simplify]: Simplify z into z
0.244 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.244 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.244 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.245 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.245 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.245 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.245 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.246 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.246 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.246 * [taylor]: Taking taylor expansion of y in y
0.246 * [backup-simplify]: Simplify 0 into 0
0.246 * [backup-simplify]: Simplify 1 into 1
0.246 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.246 * [taylor]: Taking taylor expansion of z in y
0.246 * [backup-simplify]: Simplify z into z
0.247 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.247 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.247 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.247 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.247 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.247 * [taylor]: Taking taylor expansion of z in z
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 0 in y
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 0 in z
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [taylor]: Taking taylor expansion of 0 in z
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (* 1 1) into 1
0.249 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.249 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (+ 1 0) into 1
0.251 * [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)))))
0.251 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.251 * [taylor]: Taking taylor expansion of 1/2 in y
0.251 * [backup-simplify]: Simplify 1/2 into 1/2
0.251 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.251 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.251 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.251 * [taylor]: Taking taylor expansion of y in y
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.251 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.251 * [taylor]: Taking taylor expansion of z in y
0.251 * [backup-simplify]: Simplify z into z
0.251 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.251 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.252 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.252 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.252 * [backup-simplify]: Simplify (+ 0 0) into 0
0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.253 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.253 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.253 * [taylor]: Taking taylor expansion of 1/2 in z
0.253 * [backup-simplify]: Simplify 1/2 into 1/2
0.253 * [taylor]: Taking taylor expansion of z in z
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.254 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [taylor]: Taking taylor expansion of 0 in z
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (* 1 1) into 1
0.255 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.256 * [backup-simplify]: Simplify (+ 1 0) into 1
0.256 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.256 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.256 * [taylor]: Taking taylor expansion of 1/2 in z
0.256 * [backup-simplify]: Simplify 1/2 into 1/2
0.256 * [taylor]: Taking taylor expansion of z in z
0.256 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.257 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.259 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
0.259 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.259 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.259 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.259 * [taylor]: Taking taylor expansion of x in z
0.259 * [backup-simplify]: Simplify x into x
0.259 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.259 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.259 * [taylor]: Taking taylor expansion of z in z
0.259 * [backup-simplify]: Simplify 0 into 0
0.259 * [backup-simplify]: Simplify 1 into 1
0.260 * [backup-simplify]: Simplify (* 1 1) into 1
0.260 * [backup-simplify]: Simplify (/ 1 1) into 1
0.260 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.260 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.260 * [taylor]: Taking taylor expansion of y in z
0.260 * [backup-simplify]: Simplify y into y
0.260 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.261 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.261 * [backup-simplify]: Simplify (+ 1 0) into 1
0.261 * [backup-simplify]: Simplify (+ 0 1) into 1
0.262 * [backup-simplify]: Simplify (sqrt 1) into 1
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.265 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.265 * [taylor]: Taking taylor expansion of x in y
0.265 * [backup-simplify]: Simplify x into x
0.265 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.265 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.265 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.265 * [taylor]: Taking taylor expansion of z in y
0.265 * [backup-simplify]: Simplify z into z
0.265 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.265 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.265 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.265 * [taylor]: Taking taylor expansion of y in y
0.265 * [backup-simplify]: Simplify 0 into 0
0.265 * [backup-simplify]: Simplify 1 into 1
0.266 * [backup-simplify]: Simplify (* 1 1) into 1
0.266 * [backup-simplify]: Simplify (/ 1 1) into 1
0.266 * [backup-simplify]: Simplify (+ 0 1) into 1
0.267 * [backup-simplify]: Simplify (+ 0 1) into 1
0.267 * [backup-simplify]: Simplify (sqrt 1) into 1
0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.270 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.270 * [taylor]: Taking taylor expansion of x in x
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.271 * [taylor]: Taking taylor expansion of z in x
0.271 * [backup-simplify]: Simplify z into z
0.271 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.271 * [taylor]: Taking taylor expansion of y in x
0.271 * [backup-simplify]: Simplify y into y
0.271 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.272 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [backup-simplify]: Simplify (sqrt 1) into 1
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.274 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.274 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.274 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.275 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.275 * [taylor]: Taking taylor expansion of x in x
0.275 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (* 1 1) into 1
0.275 * [backup-simplify]: Simplify (/ 1 1) into 1
0.275 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.275 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.275 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.275 * [taylor]: Taking taylor expansion of z in x
0.275 * [backup-simplify]: Simplify z into z
0.276 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.276 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.276 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.276 * [taylor]: Taking taylor expansion of y in x
0.276 * [backup-simplify]: Simplify y into y
0.276 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.276 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.277 * [backup-simplify]: Simplify (+ 1 0) into 1
0.277 * [backup-simplify]: Simplify (sqrt 1) into 1
0.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.279 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.279 * [taylor]: Taking taylor expansion of 1 in y
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [taylor]: Taking taylor expansion of 0 in y
0.279 * [backup-simplify]: Simplify 0 into 0
0.279 * [taylor]: Taking taylor expansion of 1 in z
0.280 * [backup-simplify]: Simplify 1 into 1
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.282 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.283 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.283 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.283 * [taylor]: Taking taylor expansion of 1/2 in y
0.283 * [backup-simplify]: Simplify 1/2 into 1/2
0.284 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.284 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.284 * [taylor]: Taking taylor expansion of z in y
0.284 * [backup-simplify]: Simplify z into z
0.284 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.284 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.284 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.284 * [taylor]: Taking taylor expansion of y in y
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (+ 0 1) into 1
0.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.287 * [taylor]: Taking taylor expansion of 0 in z
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [taylor]: Taking taylor expansion of 0 in z
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [taylor]: Taking taylor expansion of 0 in z
0.288 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify 1 into 1
0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.290 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.292 * [taylor]: Taking taylor expansion of 0 in y
0.292 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.294 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.295 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.295 * [taylor]: Taking taylor expansion of 1/2 in z
0.295 * [backup-simplify]: Simplify 1/2 into 1/2
0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.295 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.295 * [taylor]: Taking taylor expansion of z in z
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [taylor]: Taking taylor expansion of 0 in z
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [taylor]: Taking taylor expansion of 0 in z
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.300 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.301 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.302 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
0.304 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.304 * [taylor]: Taking taylor expansion of -1/2 in y
0.304 * [backup-simplify]: Simplify -1/2 into -1/2
0.304 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.304 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.304 * [taylor]: Taking taylor expansion of 1/4 in y
0.304 * [backup-simplify]: Simplify 1/4 into 1/4
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.304 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.304 * [taylor]: Taking taylor expansion of z in y
0.304 * [backup-simplify]: Simplify z into z
0.305 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.305 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.305 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.305 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.305 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.305 * [taylor]: Taking taylor expansion of 1/2 in y
0.305 * [backup-simplify]: Simplify 1/2 into 1/2
0.305 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.305 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.305 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.305 * [taylor]: Taking taylor expansion of z in y
0.305 * [backup-simplify]: Simplify z into z
0.305 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.305 * [taylor]: Taking taylor expansion of y in y
0.305 * [backup-simplify]: Simplify 0 into 0
0.305 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.306 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.306 * [taylor]: Taking taylor expansion of 1/4 in y
0.306 * [backup-simplify]: Simplify 1/4 into 1/4
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.306 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.306 * [taylor]: Taking taylor expansion of y in y
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.308 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.308 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.309 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.319 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.319 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.320 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.320 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.320 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.322 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.322 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.323 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.323 * [taylor]: Taking taylor expansion of 0 in z
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [taylor]: Taking taylor expansion of 0 in z
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.327 * [taylor]: Taking taylor expansion of 0 in z
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [taylor]: Taking taylor expansion of 0 in z
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [taylor]: Taking taylor expansion of 0 in z
0.327 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.330 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
0.330 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.331 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.331 * [taylor]: Taking taylor expansion of x in z
0.331 * [backup-simplify]: Simplify x into x
0.331 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.331 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.331 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.331 * [taylor]: Taking taylor expansion of z in z
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.332 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.332 * [taylor]: Taking taylor expansion of y in z
0.332 * [backup-simplify]: Simplify y into y
0.332 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.333 * [backup-simplify]: Simplify (+ 1 0) into 1
0.333 * [backup-simplify]: Simplify (+ 0 1) into 1
0.333 * [backup-simplify]: Simplify (sqrt 1) into 1
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.336 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.336 * [taylor]: Taking taylor expansion of x in y
0.336 * [backup-simplify]: Simplify x into x
0.336 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.336 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.336 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.336 * [taylor]: Taking taylor expansion of z in y
0.336 * [backup-simplify]: Simplify z into z
0.336 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.336 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.336 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.337 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.337 * [taylor]: Taking taylor expansion of y in y
0.337 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (* 1 1) into 1
0.337 * [backup-simplify]: Simplify (/ 1 1) into 1
0.338 * [backup-simplify]: Simplify (+ 0 1) into 1
0.338 * [backup-simplify]: Simplify (+ 0 1) into 1
0.338 * [backup-simplify]: Simplify (sqrt 1) into 1
0.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.340 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.341 * [taylor]: Taking taylor expansion of x in x
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (* 1 1) into 1
0.342 * [backup-simplify]: Simplify (/ 1 1) into 1
0.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.342 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.342 * [taylor]: Taking taylor expansion of z in x
0.342 * [backup-simplify]: Simplify z into z
0.342 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.342 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.342 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.342 * [taylor]: Taking taylor expansion of y in x
0.342 * [backup-simplify]: Simplify y into y
0.343 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.343 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.343 * [backup-simplify]: Simplify (+ 1 0) into 1
0.343 * [backup-simplify]: Simplify (sqrt 1) into 1
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.346 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.346 * [taylor]: Taking taylor expansion of x in x
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [backup-simplify]: Simplify 1 into 1
0.346 * [backup-simplify]: Simplify (* 1 1) into 1
0.346 * [backup-simplify]: Simplify (/ 1 1) into 1
0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.346 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.346 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.346 * [taylor]: Taking taylor expansion of z in x
0.346 * [backup-simplify]: Simplify z into z
0.347 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.347 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.347 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.347 * [taylor]: Taking taylor expansion of y in x
0.347 * [backup-simplify]: Simplify y into y
0.347 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.347 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.347 * [backup-simplify]: Simplify (+ 1 0) into 1
0.348 * [backup-simplify]: Simplify (sqrt 1) into 1
0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.349 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.350 * [taylor]: Taking taylor expansion of 1 in y
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [taylor]: Taking taylor expansion of 0 in y
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [taylor]: Taking taylor expansion of 1 in z
0.350 * [backup-simplify]: Simplify 1 into 1
0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.352 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.354 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.354 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.354 * [taylor]: Taking taylor expansion of 1/2 in y
0.354 * [backup-simplify]: Simplify 1/2 into 1/2
0.354 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.354 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.354 * [taylor]: Taking taylor expansion of z in y
0.354 * [backup-simplify]: Simplify z into z
0.354 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.354 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.354 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.354 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.354 * [taylor]: Taking taylor expansion of y in y
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.355 * [backup-simplify]: Simplify (* 1 1) into 1
0.355 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [backup-simplify]: Simplify (+ 0 1) into 1
0.357 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.357 * [taylor]: Taking taylor expansion of 0 in z
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [taylor]: Taking taylor expansion of 0 in z
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [taylor]: Taking taylor expansion of 0 in z
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.359 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.360 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.360 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.361 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.361 * [taylor]: Taking taylor expansion of 0 in y
0.362 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.364 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.366 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.366 * [taylor]: Taking taylor expansion of 1/2 in z
0.366 * [backup-simplify]: Simplify 1/2 into 1/2
0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.366 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.366 * [taylor]: Taking taylor expansion of z in z
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (* 1 1) into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [taylor]: Taking taylor expansion of 0 in z
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [taylor]: Taking taylor expansion of 0 in z
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.373 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.374 * [backup-simplify]: Simplify (+ 0 0) into 0
0.376 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
0.376 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
0.376 * [taylor]: Taking taylor expansion of -1/2 in y
0.376 * [backup-simplify]: Simplify -1/2 into -1/2
0.376 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.376 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.376 * [taylor]: Taking taylor expansion of 1/4 in y
0.376 * [backup-simplify]: Simplify 1/4 into 1/4
0.376 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.376 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.376 * [taylor]: Taking taylor expansion of z in y
0.376 * [backup-simplify]: Simplify z into z
0.376 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.376 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.376 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.377 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.377 * [taylor]: Taking taylor expansion of 1/2 in y
0.377 * [backup-simplify]: Simplify 1/2 into 1/2
0.377 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.377 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.377 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.377 * [taylor]: Taking taylor expansion of z in y
0.377 * [backup-simplify]: Simplify z into z
0.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.377 * [taylor]: Taking taylor expansion of y in y
0.377 * [backup-simplify]: Simplify 0 into 0
0.377 * [backup-simplify]: Simplify 1 into 1
0.377 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.377 * [backup-simplify]: Simplify (* 1 1) into 1
0.378 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.378 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.378 * [taylor]: Taking taylor expansion of 1/4 in y
0.378 * [backup-simplify]: Simplify 1/4 into 1/4
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.378 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.378 * [taylor]: Taking taylor expansion of y in y
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.382 * [backup-simplify]: Simplify (* 1 1) into 1
0.382 * [backup-simplify]: Simplify (/ 1 1) into 1
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.383 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.384 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.392 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (+ 0 0) into 0
0.393 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.394 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.394 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.394 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.395 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.395 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (+ 0 0) into 0
0.396 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.396 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.397 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.398 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.398 * [taylor]: Taking taylor expansion of 0 in z
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [taylor]: Taking taylor expansion of 0 in z
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.401 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.401 * [taylor]: Taking taylor expansion of 0 in z
0.401 * [backup-simplify]: Simplify 0 into 0
0.402 * [taylor]: Taking taylor expansion of 0 in z
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [taylor]: Taking taylor expansion of 0 in z
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.404 * [backup-simplify]: Simplify 0 into 0
0.404 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.404 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.405 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.405 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0
0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.405 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.405 * [taylor]: Taking taylor expansion of x in z
0.405 * [backup-simplify]: Simplify x into x
0.405 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.405 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.405 * [taylor]: Taking taylor expansion of y in z
0.405 * [backup-simplify]: Simplify y into y
0.405 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.405 * [taylor]: Taking taylor expansion of z in z
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.405 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.405 * [taylor]: Taking taylor expansion of x in y
0.405 * [backup-simplify]: Simplify x into x
0.405 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.405 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.405 * [taylor]: Taking taylor expansion of y in y
0.405 * [backup-simplify]: Simplify 0 into 0
0.405 * [backup-simplify]: Simplify 1 into 1
0.405 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.405 * [taylor]: Taking taylor expansion of z in y
0.406 * [backup-simplify]: Simplify z into z
0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.406 * [taylor]: Taking taylor expansion of y in x
0.406 * [backup-simplify]: Simplify y into y
0.406 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.406 * [taylor]: Taking taylor expansion of z in x
0.406 * [backup-simplify]: Simplify z into z
0.406 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.406 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.406 * [taylor]: Taking taylor expansion of x in x
0.406 * [backup-simplify]: Simplify 0 into 0
0.406 * [backup-simplify]: Simplify 1 into 1
0.406 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.406 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.406 * [taylor]: Taking taylor expansion of y in x
0.406 * [backup-simplify]: Simplify y into y
0.406 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.406 * [taylor]: Taking taylor expansion of z in x
0.406 * [backup-simplify]: Simplify z into z
0.406 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.406 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.407 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.407 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.407 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.407 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.407 * [taylor]: Taking taylor expansion of y in y
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.407 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.407 * [taylor]: Taking taylor expansion of z in y
0.407 * [backup-simplify]: Simplify z into z
0.407 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.407 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.407 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.407 * [taylor]: Taking taylor expansion of z in z
0.407 * [backup-simplify]: Simplify 0 into 0
0.407 * [backup-simplify]: Simplify 1 into 1
0.408 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.408 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.408 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [taylor]: Taking taylor expansion of 0 in y
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [taylor]: Taking taylor expansion of 0 in z
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [taylor]: Taking taylor expansion of 0 in z
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.411 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.411 * [backup-simplify]: Simplify (+ 0 0) into 0
0.411 * [backup-simplify]: Simplify (+ 1 0) into 1
0.412 * [taylor]: Taking taylor expansion of 1 in y
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [taylor]: Taking taylor expansion of 1 in z
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [backup-simplify]: Simplify 1 into 1
0.412 * [taylor]: Taking taylor expansion of 0 in z
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify 0 into 0
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.413 * [backup-simplify]: Simplify (+ 1 0) into 1
0.413 * [taylor]: Taking taylor expansion of 1 in z
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify 1 into 1
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify (* 1 1) into 1
0.413 * [backup-simplify]: Simplify 1 into 1
0.414 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.415 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.415 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.415 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.415 * [taylor]: Taking taylor expansion of x in z
0.415 * [backup-simplify]: Simplify x into x
0.415 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.415 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.415 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.415 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.415 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.415 * [taylor]: Taking taylor expansion of z in z
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (* 1 1) into 1
0.416 * [backup-simplify]: Simplify (/ 1 1) into 1
0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.416 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.416 * [taylor]: Taking taylor expansion of y in z
0.416 * [backup-simplify]: Simplify y into y
0.416 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.416 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.416 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.416 * [taylor]: Taking taylor expansion of x in y
0.417 * [backup-simplify]: Simplify x into x
0.417 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.417 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.417 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.417 * [taylor]: Taking taylor expansion of z in y
0.417 * [backup-simplify]: Simplify z into z
0.417 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.417 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.417 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.417 * [taylor]: Taking taylor expansion of y in y
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 1 into 1
0.418 * [backup-simplify]: Simplify (* 1 1) into 1
0.418 * [backup-simplify]: Simplify (/ 1 1) into 1
0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.418 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.418 * [taylor]: Taking taylor expansion of x in x
0.418 * [backup-simplify]: Simplify 0 into 0
0.418 * [backup-simplify]: Simplify 1 into 1
0.418 * [backup-simplify]: Simplify (* 1 1) into 1
0.419 * [backup-simplify]: Simplify (/ 1 1) into 1
0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.419 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.419 * [taylor]: Taking taylor expansion of z in x
0.419 * [backup-simplify]: Simplify z into z
0.419 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.419 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.419 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.419 * [taylor]: Taking taylor expansion of y in x
0.419 * [backup-simplify]: Simplify y into y
0.419 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.419 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (* 1 1) into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.420 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.420 * [taylor]: Taking taylor expansion of z in x
0.420 * [backup-simplify]: Simplify z into z
0.420 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.421 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.421 * [taylor]: Taking taylor expansion of y in x
0.421 * [backup-simplify]: Simplify y into y
0.421 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.421 * [backup-simplify]: Simplify (+ 1 0) into 1
0.421 * [taylor]: Taking taylor expansion of 1 in y
0.421 * [backup-simplify]: Simplify 1 into 1
0.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (+ 0 0) into 0
0.423 * [taylor]: Taking taylor expansion of 0 in y
0.423 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.425 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.425 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.425 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.425 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.425 * [taylor]: Taking taylor expansion of z in y
0.425 * [backup-simplify]: Simplify z into z
0.426 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.426 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.426 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.426 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.426 * [taylor]: Taking taylor expansion of y in y
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 1 into 1
0.426 * [backup-simplify]: Simplify (* 1 1) into 1
0.427 * [backup-simplify]: Simplify (/ 1 1) into 1
0.427 * [backup-simplify]: Simplify (+ 0 1) into 1
0.427 * [taylor]: Taking taylor expansion of 1 in z
0.427 * [backup-simplify]: Simplify 1 into 1
0.427 * [taylor]: Taking taylor expansion of 1 in z
0.427 * [backup-simplify]: Simplify 1 into 1
0.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.429 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.430 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [backup-simplify]: Simplify (+ 0 0) into 0
0.430 * [taylor]: Taking taylor expansion of 0 in y
0.430 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ 0 0) into 0
0.432 * [taylor]: Taking taylor expansion of 0 in z
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [taylor]: Taking taylor expansion of 0 in z
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [taylor]: Taking taylor expansion of 0 in z
0.432 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.434 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.435 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.436 * [backup-simplify]: Simplify (+ 0 0) into 0
0.436 * [backup-simplify]: Simplify (+ 0 0) into 0
0.436 * [taylor]: Taking taylor expansion of 0 in y
0.436 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.438 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.438 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.438 * [taylor]: Taking taylor expansion of z in z
0.438 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify (* 1 1) into 1
0.439 * [backup-simplify]: Simplify (/ 1 1) into 1
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [taylor]: Taking taylor expansion of 0 in z
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [taylor]: Taking taylor expansion of 0 in z
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [backup-simplify]: Simplify 1 into 1
0.439 * [backup-simplify]: Simplify 1 into 1
0.440 * [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 x 2) (+ (pow y 2) (pow z 2)))
0.441 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.441 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.441 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.441 * [taylor]: Taking taylor expansion of x in z
0.441 * [backup-simplify]: Simplify x into x
0.441 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.441 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.441 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.441 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.441 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.441 * [taylor]: Taking taylor expansion of z in z
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.442 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.442 * [taylor]: Taking taylor expansion of y in z
0.442 * [backup-simplify]: Simplify y into y
0.442 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.442 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.442 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.442 * [taylor]: Taking taylor expansion of x in y
0.442 * [backup-simplify]: Simplify x into x
0.443 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.443 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.443 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.443 * [taylor]: Taking taylor expansion of z in y
0.443 * [backup-simplify]: Simplify z into z
0.443 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.443 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.443 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.443 * [taylor]: Taking taylor expansion of y in y
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (* 1 1) into 1
0.444 * [backup-simplify]: Simplify (/ 1 1) into 1
0.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.444 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.444 * [taylor]: Taking taylor expansion of x in x
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.445 * [backup-simplify]: Simplify (* 1 1) into 1
0.445 * [backup-simplify]: Simplify (/ 1 1) into 1
0.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.445 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.445 * [taylor]: Taking taylor expansion of z in x
0.445 * [backup-simplify]: Simplify z into z
0.445 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.445 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.445 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.445 * [taylor]: Taking taylor expansion of y in x
0.445 * [backup-simplify]: Simplify y into y
0.446 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.446 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.446 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.446 * [taylor]: Taking taylor expansion of x in x
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (* 1 1) into 1
0.446 * [backup-simplify]: Simplify (/ 1 1) into 1
0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.447 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.447 * [taylor]: Taking taylor expansion of z in x
0.447 * [backup-simplify]: Simplify z into z
0.447 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.447 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.447 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.447 * [taylor]: Taking taylor expansion of y in x
0.447 * [backup-simplify]: Simplify y into y
0.447 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.447 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.448 * [backup-simplify]: Simplify (+ 1 0) into 1
0.448 * [taylor]: Taking taylor expansion of 1 in y
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.449 * [backup-simplify]: Simplify (+ 0 0) into 0
0.449 * [taylor]: Taking taylor expansion of 0 in y
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.451 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.451 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.452 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.452 * [taylor]: Taking taylor expansion of z in y
0.452 * [backup-simplify]: Simplify z into z
0.452 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.452 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.452 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.452 * [taylor]: Taking taylor expansion of y in y
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.453 * [backup-simplify]: Simplify (/ 1 1) into 1
0.453 * [backup-simplify]: Simplify (+ 0 1) into 1
0.453 * [taylor]: Taking taylor expansion of 1 in z
0.453 * [backup-simplify]: Simplify 1 into 1
0.453 * [taylor]: Taking taylor expansion of 1 in z
0.453 * [backup-simplify]: Simplify 1 into 1
0.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.455 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.456 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [taylor]: Taking taylor expansion of 0 in y
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.458 * [backup-simplify]: Simplify (+ 0 0) into 0
0.458 * [taylor]: Taking taylor expansion of 0 in z
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [taylor]: Taking taylor expansion of 0 in z
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [taylor]: Taking taylor expansion of 0 in z
0.458 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.462 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.463 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [backup-simplify]: Simplify (+ 0 0) into 0
0.463 * [taylor]: Taking taylor expansion of 0 in y
0.463 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.465 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.465 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.465 * [taylor]: Taking taylor expansion of z in z
0.465 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [backup-simplify]: Simplify (* 1 1) into 1
0.466 * [backup-simplify]: Simplify (/ 1 1) into 1
0.466 * [backup-simplify]: Simplify 1 into 1
0.466 * [taylor]: Taking taylor expansion of 0 in z
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [taylor]: Taking taylor expansion of 0 in z
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 1 into 1
0.467 * [backup-simplify]: Simplify 1 into 1
0.468 * [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 x 2) (+ (pow y 2) (pow z 2)))
0.468 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
0.468 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.468 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.468 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.468 * [taylor]: Taking taylor expansion of x in y
0.468 * [backup-simplify]: Simplify x into x
0.468 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.468 * [taylor]: Taking taylor expansion of y in y
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.468 * [taylor]: Taking taylor expansion of x in x
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.468 * [taylor]: Taking taylor expansion of y in x
0.468 * [backup-simplify]: Simplify y into y
0.468 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.468 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.469 * [taylor]: Taking taylor expansion of x in x
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.469 * [taylor]: Taking taylor expansion of y in x
0.469 * [backup-simplify]: Simplify y into y
0.469 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.469 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.469 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.469 * [taylor]: Taking taylor expansion of y in y
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.470 * [backup-simplify]: Simplify (+ 0 0) into 0
0.470 * [taylor]: Taking taylor expansion of 0 in y
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify (* 1 1) into 1
0.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.471 * [backup-simplify]: Simplify (+ 1 0) into 1
0.471 * [taylor]: Taking taylor expansion of 1 in y
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify (* 1 1) into 1
0.471 * [backup-simplify]: Simplify 1 into 1
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.473 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.473 * [backup-simplify]: Simplify (+ 0 0) into 0
0.473 * [taylor]: Taking taylor expansion of 0 in y
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.474 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.476 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.476 * [backup-simplify]: Simplify (+ 0 0) into 0
0.476 * [taylor]: Taking taylor expansion of 0 in y
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.476 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.477 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.477 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.477 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.477 * [taylor]: Taking taylor expansion of x in y
0.477 * [backup-simplify]: Simplify x into x
0.477 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.477 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.477 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.477 * [taylor]: Taking taylor expansion of y in y
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.478 * [backup-simplify]: Simplify (* 1 1) into 1
0.478 * [backup-simplify]: Simplify (/ 1 1) into 1
0.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.478 * [taylor]: Taking taylor expansion of x in x
0.478 * [backup-simplify]: Simplify 0 into 0
0.478 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (* 1 1) into 1
0.479 * [backup-simplify]: Simplify (/ 1 1) into 1
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.479 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.479 * [taylor]: Taking taylor expansion of y in x
0.479 * [backup-simplify]: Simplify y into y
0.479 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.479 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.480 * [taylor]: Taking taylor expansion of x in x
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.480 * [backup-simplify]: Simplify (* 1 1) into 1
0.480 * [backup-simplify]: Simplify (/ 1 1) into 1
0.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.480 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.480 * [taylor]: Taking taylor expansion of y in x
0.480 * [backup-simplify]: Simplify y into y
0.480 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.481 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.481 * [backup-simplify]: Simplify (+ 1 0) into 1
0.481 * [taylor]: Taking taylor expansion of 1 in y
0.481 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.483 * [backup-simplify]: Simplify (+ 0 0) into 0
0.483 * [taylor]: Taking taylor expansion of 0 in y
0.483 * [backup-simplify]: Simplify 0 into 0
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.485 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.485 * [taylor]: Taking taylor expansion of y in y
0.485 * [backup-simplify]: Simplify 0 into 0
0.485 * [backup-simplify]: Simplify 1 into 1
0.485 * [backup-simplify]: Simplify (* 1 1) into 1
0.485 * [backup-simplify]: Simplify (/ 1 1) into 1
0.485 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.488 * [backup-simplify]: Simplify (+ 0 0) into 0
0.488 * [taylor]: Taking taylor expansion of 0 in y
0.488 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.491 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [taylor]: Taking taylor expansion of 0 in y
0.492 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.495 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.495 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.495 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.495 * [taylor]: Taking taylor expansion of x in y
0.495 * [backup-simplify]: Simplify x into x
0.495 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.495 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.495 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.495 * [taylor]: Taking taylor expansion of y in y
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 1 into 1
0.496 * [backup-simplify]: Simplify (* 1 1) into 1
0.496 * [backup-simplify]: Simplify (/ 1 1) into 1
0.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.496 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.496 * [taylor]: Taking taylor expansion of x in x
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (* 1 1) into 1
0.497 * [backup-simplify]: Simplify (/ 1 1) into 1
0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.497 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.497 * [taylor]: Taking taylor expansion of y in x
0.497 * [backup-simplify]: Simplify y into y
0.497 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.497 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.497 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.497 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.497 * [taylor]: Taking taylor expansion of x in x
0.497 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 1 into 1
0.498 * [backup-simplify]: Simplify (* 1 1) into 1
0.498 * [backup-simplify]: Simplify (/ 1 1) into 1
0.498 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.498 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.498 * [taylor]: Taking taylor expansion of y in x
0.498 * [backup-simplify]: Simplify y into y
0.498 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.499 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.499 * [backup-simplify]: Simplify (+ 1 0) into 1
0.499 * [taylor]: Taking taylor expansion of 1 in y
0.499 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.501 * [backup-simplify]: Simplify (+ 0 0) into 0
0.501 * [taylor]: Taking taylor expansion of 0 in y
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.502 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.503 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.503 * [taylor]: Taking taylor expansion of y in y
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify (* 1 1) into 1
0.503 * [backup-simplify]: Simplify (/ 1 1) into 1
0.503 * [backup-simplify]: Simplify 1 into 1
0.503 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [taylor]: Taking taylor expansion of 0 in y
0.506 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.507 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.510 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [taylor]: Taking taylor expansion of 0 in y
0.511 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.512 * [backup-simplify]: Simplify 0 into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.513 * * * [progress]: simplifying candidates
0.514 * [simplify]: Simplifying:
  (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))))
  (* (* (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))
  (* (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))
  z
  x
  (* -1 x)
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.516 * * [simplify]: Extracting # 0 : cost  0
0.516 * * [simplify]: Extracting # 1 : cost  0
0.516 * * [simplify]: Extracting # 2 : cost  0
0.516 * * [simplify]: Extracting # 3 : cost  0
0.516 * * [simplify]: Extracting # 4 : cost  0
0.517 * * [simplify]: Extracting # 5 : cost  0
0.517 * * [simplify]: Extracting # 6 : cost  0
0.517 * * [simplify]: iteration  0 :  74  enodes  (cost  742 )
0.545 * * [simplify]: Extracting # 0 : cost  0
0.545 * * [simplify]: Extracting # 1 : cost  0
0.545 * * [simplify]: Extracting # 2 : cost  0
0.546 * * [simplify]: Extracting # 3 : cost  0
0.546 * * [simplify]: Extracting # 4 : cost  0
0.547 * * [simplify]: iteration  1 :  245  enodes  (cost  696 )
0.721 * * [simplify]: Extracting # 0 : cost  0
0.723 * * [simplify]: Extracting # 1 : cost  0
0.726 * * [simplify]: Extracting # 2 : cost  0
0.729 * * [simplify]: Extracting # 3 : cost  0
0.732 * * [simplify]: Extracting # 4 : cost  0
0.736 * * [simplify]: iteration  2 :  1298  enodes  (cost  621 )
1.409 * * [simplify]: Extracting # 0 : cost  0
1.421 * * [simplify]: Extracting # 1 : cost  0
1.439 * * [simplify]: Extracting # 2 : cost  0
1.454 * * [simplify]: Extracting # 3 : cost  0
1.475 * * [simplify]: Extracting # 4 : cost  0
1.488 * * [simplify]: iteration done:  5002  enodes  (cost  621 )
1.488 * [simplify]: Simplified to:
  (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))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (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))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow z 6) (pow (+ (* x x) (* y y)) 3)))
  (sqrt (+ (* (* z z) (- (* z z) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (pow z 4)))
  (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))))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* 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)))
  (pow (+ (+ (* x x) (* y y)) (* z z)) 3)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow z 6) (pow (+ (* x x) (* y y)) 3))
  (+ (* (* z z) (- (* z z) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (pow z 4))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  (exp (+ (* x x) (* 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)))
  (pow (+ (* x x) (* y y)) 3)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow x 6) (pow y 6))
  (+ (* (* y y) (- (* y y) (* x x))) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  z
  x
  (- x)
  (+ (+ (* x x) (* y y)) (* z z))
  (+ (+ (* x x) (* y y)) (* z z))
  (+ (+ (* x x) (* y y)) (* z z))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
1.489 * * * [progress]: adding candidates to table
1.812 * * [progress]: iteration 2 / 4
1.812 * * * [progress]: picking best candidate
1.836 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))>
1.836 * * * [progress]: localizing error
1.874 * * * [progress]: generating rewritten candidates
1.874 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
1.930 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
1.993 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
2.287 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
2.357 * * * [progress]: generating series expansions
2.358 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
2.358 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
2.358 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
2.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
2.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
2.358 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.358 * [taylor]: Taking taylor expansion of x in z
2.358 * [backup-simplify]: Simplify x into x
2.358 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
2.358 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.358 * [taylor]: Taking taylor expansion of y in z
2.358 * [backup-simplify]: Simplify y into y
2.358 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.358 * [taylor]: Taking taylor expansion of z in z
2.358 * [backup-simplify]: Simplify 0 into 0
2.358 * [backup-simplify]: Simplify 1 into 1
2.358 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.358 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.358 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.359 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.359 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.359 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.359 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.359 * [backup-simplify]: Simplify (+ 0 0) into 0
2.360 * [backup-simplify]: Simplify (+ 0 0) into 0
2.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.360 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
2.360 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
2.360 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.360 * [taylor]: Taking taylor expansion of x in y
2.360 * [backup-simplify]: Simplify x into x
2.360 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.360 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.360 * [taylor]: Taking taylor expansion of y in y
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify 1 into 1
2.360 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.360 * [taylor]: Taking taylor expansion of z in y
2.360 * [backup-simplify]: Simplify z into z
2.360 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.360 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.360 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.360 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.361 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.361 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.361 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.361 * [backup-simplify]: Simplify (+ 0 0) into 0
2.362 * [backup-simplify]: Simplify (+ 0 0) into 0
2.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.362 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.362 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.362 * [taylor]: Taking taylor expansion of x in x
2.362 * [backup-simplify]: Simplify 0 into 0
2.362 * [backup-simplify]: Simplify 1 into 1
2.362 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.362 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.362 * [taylor]: Taking taylor expansion of y in x
2.362 * [backup-simplify]: Simplify y into y
2.362 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.362 * [taylor]: Taking taylor expansion of z in x
2.363 * [backup-simplify]: Simplify z into z
2.363 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.363 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.363 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.363 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.363 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.364 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.364 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.364 * [backup-simplify]: Simplify (+ 0 0) into 0
2.365 * [backup-simplify]: Simplify (+ 0 0) into 0
2.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.365 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.365 * [taylor]: Taking taylor expansion of x in x
2.365 * [backup-simplify]: Simplify 0 into 0
2.365 * [backup-simplify]: Simplify 1 into 1
2.365 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.365 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.365 * [taylor]: Taking taylor expansion of y in x
2.365 * [backup-simplify]: Simplify y into y
2.365 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.365 * [taylor]: Taking taylor expansion of z in x
2.365 * [backup-simplify]: Simplify z into z
2.365 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.365 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.366 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.366 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.366 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.366 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.366 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.367 * [backup-simplify]: Simplify (+ 0 0) into 0
2.367 * [backup-simplify]: Simplify (+ 0 0) into 0
2.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.368 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.368 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.368 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.368 * [taylor]: Taking taylor expansion of y in y
2.368 * [backup-simplify]: Simplify 0 into 0
2.368 * [backup-simplify]: Simplify 1 into 1
2.368 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.368 * [taylor]: Taking taylor expansion of z in y
2.368 * [backup-simplify]: Simplify z into z
2.368 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.368 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.368 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.368 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.369 * [taylor]: Taking taylor expansion of z in z
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify 1 into 1
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [taylor]: Taking taylor expansion of 0 in y
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [taylor]: Taking taylor expansion of 0 in z
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [taylor]: Taking taylor expansion of 0 in z
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify 0 into 0
2.369 * [backup-simplify]: Simplify 1 into 1
2.370 * [backup-simplify]: Simplify (* 1 1) into 1
2.370 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.371 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.371 * [backup-simplify]: Simplify (+ 0 0) into 0
2.372 * [backup-simplify]: Simplify (+ 1 0) into 1
2.373 * [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)))))
2.373 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
2.373 * [taylor]: Taking taylor expansion of 1/2 in y
2.373 * [backup-simplify]: Simplify 1/2 into 1/2
2.373 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.373 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.373 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.373 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.373 * [taylor]: Taking taylor expansion of y in y
2.373 * [backup-simplify]: Simplify 0 into 0
2.373 * [backup-simplify]: Simplify 1 into 1
2.373 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.373 * [taylor]: Taking taylor expansion of z in y
2.373 * [backup-simplify]: Simplify z into z
2.373 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.373 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.373 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.373 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.374 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.374 * [backup-simplify]: Simplify (+ 0 0) into 0
2.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.375 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.375 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.375 * [taylor]: Taking taylor expansion of 1/2 in z
2.375 * [backup-simplify]: Simplify 1/2 into 1/2
2.375 * [taylor]: Taking taylor expansion of z in z
2.375 * [backup-simplify]: Simplify 0 into 0
2.375 * [backup-simplify]: Simplify 1 into 1
2.375 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [taylor]: Taking taylor expansion of 0 in z
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify 0 into 0
2.376 * [backup-simplify]: Simplify (* 1 1) into 1
2.377 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.377 * [backup-simplify]: Simplify (+ 1 0) into 1
2.378 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.378 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.378 * [taylor]: Taking taylor expansion of 1/2 in z
2.378 * [backup-simplify]: Simplify 1/2 into 1/2
2.378 * [taylor]: Taking taylor expansion of z in z
2.378 * [backup-simplify]: Simplify 0 into 0
2.378 * [backup-simplify]: Simplify 1 into 1
2.379 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.379 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify 0 into 0
2.380 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.380 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
2.381 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.381 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.381 * [taylor]: Taking taylor expansion of x in z
2.381 * [backup-simplify]: Simplify x into x
2.381 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.381 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.381 * [taylor]: Taking taylor expansion of z in z
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify 1 into 1
2.382 * [backup-simplify]: Simplify (* 1 1) into 1
2.382 * [backup-simplify]: Simplify (/ 1 1) into 1
2.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.382 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.382 * [taylor]: Taking taylor expansion of y in z
2.382 * [backup-simplify]: Simplify y into y
2.382 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.382 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.383 * [backup-simplify]: Simplify (+ 1 0) into 1
2.383 * [backup-simplify]: Simplify (+ 0 1) into 1
2.384 * [backup-simplify]: Simplify (sqrt 1) into 1
2.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.385 * [backup-simplify]: Simplify (+ 0 0) into 0
2.386 * [backup-simplify]: Simplify (+ 0 0) into 0
2.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.386 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.386 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.386 * [taylor]: Taking taylor expansion of x in y
2.386 * [backup-simplify]: Simplify x into x
2.387 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.387 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.387 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.387 * [taylor]: Taking taylor expansion of z in y
2.387 * [backup-simplify]: Simplify z into z
2.387 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.387 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.387 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.387 * [taylor]: Taking taylor expansion of y in y
2.387 * [backup-simplify]: Simplify 0 into 0
2.387 * [backup-simplify]: Simplify 1 into 1
2.388 * [backup-simplify]: Simplify (* 1 1) into 1
2.388 * [backup-simplify]: Simplify (/ 1 1) into 1
2.388 * [backup-simplify]: Simplify (+ 0 1) into 1
2.389 * [backup-simplify]: Simplify (+ 0 1) into 1
2.389 * [backup-simplify]: Simplify (sqrt 1) into 1
2.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.391 * [backup-simplify]: Simplify (+ 0 0) into 0
2.391 * [backup-simplify]: Simplify (+ 0 0) into 0
2.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.392 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.392 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.392 * [taylor]: Taking taylor expansion of x in x
2.392 * [backup-simplify]: Simplify 0 into 0
2.392 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (* 1 1) into 1
2.393 * [backup-simplify]: Simplify (/ 1 1) into 1
2.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.393 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.393 * [taylor]: Taking taylor expansion of z in x
2.393 * [backup-simplify]: Simplify z into z
2.393 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.393 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.393 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.393 * [taylor]: Taking taylor expansion of y in x
2.393 * [backup-simplify]: Simplify y into y
2.393 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.393 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.394 * [backup-simplify]: Simplify (+ 1 0) into 1
2.394 * [backup-simplify]: Simplify (sqrt 1) into 1
2.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.396 * [backup-simplify]: Simplify (+ 0 0) into 0
2.396 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.396 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.396 * [taylor]: Taking taylor expansion of x in x
2.396 * [backup-simplify]: Simplify 0 into 0
2.396 * [backup-simplify]: Simplify 1 into 1
2.397 * [backup-simplify]: Simplify (* 1 1) into 1
2.397 * [backup-simplify]: Simplify (/ 1 1) into 1
2.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.397 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.397 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.397 * [taylor]: Taking taylor expansion of z in x
2.397 * [backup-simplify]: Simplify z into z
2.397 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.398 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.398 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.398 * [taylor]: Taking taylor expansion of y in x
2.398 * [backup-simplify]: Simplify y into y
2.398 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.398 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.398 * [backup-simplify]: Simplify (+ 1 0) into 1
2.399 * [backup-simplify]: Simplify (sqrt 1) into 1
2.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.400 * [backup-simplify]: Simplify (+ 0 0) into 0
2.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.401 * [taylor]: Taking taylor expansion of 1 in y
2.401 * [backup-simplify]: Simplify 1 into 1
2.401 * [taylor]: Taking taylor expansion of 0 in y
2.401 * [backup-simplify]: Simplify 0 into 0
2.401 * [taylor]: Taking taylor expansion of 1 in z
2.401 * [backup-simplify]: Simplify 1 into 1
2.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.404 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.404 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.405 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.406 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.406 * [taylor]: Taking taylor expansion of 1/2 in y
2.406 * [backup-simplify]: Simplify 1/2 into 1/2
2.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.406 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.406 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.406 * [taylor]: Taking taylor expansion of z in y
2.406 * [backup-simplify]: Simplify z into z
2.406 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.406 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.406 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.406 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.406 * [taylor]: Taking taylor expansion of y in y
2.406 * [backup-simplify]: Simplify 0 into 0
2.406 * [backup-simplify]: Simplify 1 into 1
2.407 * [backup-simplify]: Simplify (* 1 1) into 1
2.407 * [backup-simplify]: Simplify (/ 1 1) into 1
2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.409 * [backup-simplify]: Simplify (+ 0 0) into 0
2.409 * [backup-simplify]: Simplify (+ 0 1) into 1
2.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.410 * [taylor]: Taking taylor expansion of 0 in z
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [taylor]: Taking taylor expansion of 0 in z
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [taylor]: Taking taylor expansion of 0 in z
2.410 * [backup-simplify]: Simplify 0 into 0
2.410 * [backup-simplify]: Simplify 1 into 1
2.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.412 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.412 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.413 * [backup-simplify]: Simplify (+ 0 0) into 0
2.413 * [backup-simplify]: Simplify (+ 0 0) into 0
2.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.414 * [taylor]: Taking taylor expansion of 0 in y
2.414 * [backup-simplify]: Simplify 0 into 0
2.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.417 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.419 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.420 * [taylor]: Taking taylor expansion of 1/2 in z
2.420 * [backup-simplify]: Simplify 1/2 into 1/2
2.420 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.420 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.420 * [taylor]: Taking taylor expansion of z in z
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.421 * [backup-simplify]: Simplify (* 1 1) into 1
2.421 * [backup-simplify]: Simplify (/ 1 1) into 1
2.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [taylor]: Taking taylor expansion of 0 in z
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [taylor]: Taking taylor expansion of 0 in z
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 0 into 0
2.424 * [backup-simplify]: Simplify 0 into 0
2.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.427 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.428 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.429 * [backup-simplify]: Simplify (+ 0 0) into 0
2.429 * [backup-simplify]: Simplify (+ 0 0) into 0
2.431 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.431 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.431 * [taylor]: Taking taylor expansion of -1/2 in y
2.431 * [backup-simplify]: Simplify -1/2 into -1/2
2.431 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.431 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.431 * [taylor]: Taking taylor expansion of 1/4 in y
2.431 * [backup-simplify]: Simplify 1/4 into 1/4
2.431 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.431 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.431 * [taylor]: Taking taylor expansion of z in y
2.431 * [backup-simplify]: Simplify z into z
2.431 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.431 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.432 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.432 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.432 * [taylor]: Taking taylor expansion of 1/2 in y
2.432 * [backup-simplify]: Simplify 1/2 into 1/2
2.432 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.432 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.432 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.432 * [taylor]: Taking taylor expansion of z in y
2.432 * [backup-simplify]: Simplify z into z
2.432 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.432 * [taylor]: Taking taylor expansion of y in y
2.432 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify 1 into 1
2.432 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.432 * [backup-simplify]: Simplify (* 1 1) into 1
2.432 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.432 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.432 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.432 * [taylor]: Taking taylor expansion of 1/4 in y
2.433 * [backup-simplify]: Simplify 1/4 into 1/4
2.433 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.433 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.433 * [taylor]: Taking taylor expansion of y in y
2.433 * [backup-simplify]: Simplify 0 into 0
2.433 * [backup-simplify]: Simplify 1 into 1
2.433 * [backup-simplify]: Simplify (* 1 1) into 1
2.433 * [backup-simplify]: Simplify (* 1 1) into 1
2.434 * [backup-simplify]: Simplify (/ 1 1) into 1
2.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.434 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.436 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.438 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.451 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.451 * [backup-simplify]: Simplify (+ 0 0) into 0
2.452 * [backup-simplify]: Simplify (+ 0 0) into 0
2.452 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.453 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.453 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.453 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.454 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.454 * [backup-simplify]: Simplify (+ 0 0) into 0
2.454 * [backup-simplify]: Simplify (+ 0 0) into 0
2.455 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.455 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.455 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.457 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.457 * [taylor]: Taking taylor expansion of 0 in z
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [taylor]: Taking taylor expansion of 0 in z
2.457 * [backup-simplify]: Simplify 0 into 0
2.457 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.459 * [backup-simplify]: Simplify (+ 0 0) into 0
2.460 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.460 * [taylor]: Taking taylor expansion of 0 in z
2.460 * [backup-simplify]: Simplify 0 into 0
2.460 * [taylor]: Taking taylor expansion of 0 in z
2.460 * [backup-simplify]: Simplify 0 into 0
2.460 * [taylor]: Taking taylor expansion of 0 in z
2.461 * [backup-simplify]: Simplify 0 into 0
2.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.463 * [backup-simplify]: Simplify 0 into 0
2.463 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.464 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
2.464 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.464 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.464 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.464 * [taylor]: Taking taylor expansion of x in z
2.464 * [backup-simplify]: Simplify x into x
2.464 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.464 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.464 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.464 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.464 * [taylor]: Taking taylor expansion of z in z
2.464 * [backup-simplify]: Simplify 0 into 0
2.464 * [backup-simplify]: Simplify 1 into 1
2.465 * [backup-simplify]: Simplify (* 1 1) into 1
2.465 * [backup-simplify]: Simplify (/ 1 1) into 1
2.465 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.465 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.465 * [taylor]: Taking taylor expansion of y in z
2.465 * [backup-simplify]: Simplify y into y
2.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.466 * [backup-simplify]: Simplify (+ 1 0) into 1
2.466 * [backup-simplify]: Simplify (+ 0 1) into 1
2.470 * [backup-simplify]: Simplify (sqrt 1) into 1
2.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.472 * [backup-simplify]: Simplify (+ 0 0) into 0
2.472 * [backup-simplify]: Simplify (+ 0 0) into 0
2.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.473 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.473 * [taylor]: Taking taylor expansion of x in y
2.473 * [backup-simplify]: Simplify x into x
2.473 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.474 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.474 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.474 * [taylor]: Taking taylor expansion of z in y
2.474 * [backup-simplify]: Simplify z into z
2.474 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.474 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.474 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.474 * [taylor]: Taking taylor expansion of y in y
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 1 into 1
2.474 * [backup-simplify]: Simplify (* 1 1) into 1
2.475 * [backup-simplify]: Simplify (/ 1 1) into 1
2.475 * [backup-simplify]: Simplify (+ 0 1) into 1
2.475 * [backup-simplify]: Simplify (+ 0 1) into 1
2.476 * [backup-simplify]: Simplify (sqrt 1) into 1
2.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (+ 0 0) into 0
2.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.478 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.478 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.478 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.478 * [taylor]: Taking taylor expansion of x in x
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 1 into 1
2.479 * [backup-simplify]: Simplify (* 1 1) into 1
2.479 * [backup-simplify]: Simplify (/ 1 1) into 1
2.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.479 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.479 * [taylor]: Taking taylor expansion of z in x
2.479 * [backup-simplify]: Simplify z into z
2.479 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.480 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.480 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.480 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.480 * [taylor]: Taking taylor expansion of y in x
2.480 * [backup-simplify]: Simplify y into y
2.480 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.480 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.480 * [backup-simplify]: Simplify (+ 1 0) into 1
2.481 * [backup-simplify]: Simplify (sqrt 1) into 1
2.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.482 * [backup-simplify]: Simplify (+ 0 0) into 0
2.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.483 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.483 * [taylor]: Taking taylor expansion of x in x
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 1 into 1
2.484 * [backup-simplify]: Simplify (* 1 1) into 1
2.484 * [backup-simplify]: Simplify (/ 1 1) into 1
2.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.484 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.484 * [taylor]: Taking taylor expansion of z in x
2.484 * [backup-simplify]: Simplify z into z
2.484 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.484 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.484 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.484 * [taylor]: Taking taylor expansion of y in x
2.484 * [backup-simplify]: Simplify y into y
2.484 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.485 * [backup-simplify]: Simplify (+ 1 0) into 1
2.485 * [backup-simplify]: Simplify (sqrt 1) into 1
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify (+ 0 0) into 0
2.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.488 * [taylor]: Taking taylor expansion of 1 in y
2.488 * [backup-simplify]: Simplify 1 into 1
2.488 * [taylor]: Taking taylor expansion of 0 in y
2.488 * [backup-simplify]: Simplify 0 into 0
2.488 * [taylor]: Taking taylor expansion of 1 in z
2.488 * [backup-simplify]: Simplify 1 into 1
2.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.490 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.490 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.491 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.491 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.491 * [taylor]: Taking taylor expansion of 1/2 in y
2.491 * [backup-simplify]: Simplify 1/2 into 1/2
2.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.491 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.491 * [taylor]: Taking taylor expansion of z in y
2.492 * [backup-simplify]: Simplify z into z
2.492 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.492 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.492 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.492 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.492 * [taylor]: Taking taylor expansion of y in y
2.492 * [backup-simplify]: Simplify 0 into 0
2.492 * [backup-simplify]: Simplify 1 into 1
2.492 * [backup-simplify]: Simplify (* 1 1) into 1
2.493 * [backup-simplify]: Simplify (/ 1 1) into 1
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.494 * [backup-simplify]: Simplify (+ 0 0) into 0
2.494 * [backup-simplify]: Simplify (+ 0 1) into 1
2.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.495 * [taylor]: Taking taylor expansion of 0 in z
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [taylor]: Taking taylor expansion of 0 in z
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [taylor]: Taking taylor expansion of 0 in z
2.495 * [backup-simplify]: Simplify 0 into 0
2.495 * [backup-simplify]: Simplify 1 into 1
2.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.497 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.498 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.498 * [backup-simplify]: Simplify (+ 0 0) into 0
2.499 * [backup-simplify]: Simplify (+ 0 0) into 0
2.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.499 * [taylor]: Taking taylor expansion of 0 in y
2.499 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.501 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.502 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.502 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.502 * [taylor]: Taking taylor expansion of 1/2 in z
2.503 * [backup-simplify]: Simplify 1/2 into 1/2
2.503 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.503 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.503 * [taylor]: Taking taylor expansion of z in z
2.503 * [backup-simplify]: Simplify 0 into 0
2.503 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (* 1 1) into 1
2.503 * [backup-simplify]: Simplify (/ 1 1) into 1
2.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.505 * [backup-simplify]: Simplify 0 into 0
2.506 * [taylor]: Taking taylor expansion of 0 in z
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [taylor]: Taking taylor expansion of 0 in z
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.506 * [backup-simplify]: Simplify 0 into 0
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.508 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.509 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.510 * [backup-simplify]: Simplify (+ 0 0) into 0
2.510 * [backup-simplify]: Simplify (+ 0 0) into 0
2.512 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.512 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.512 * [taylor]: Taking taylor expansion of -1/2 in y
2.512 * [backup-simplify]: Simplify -1/2 into -1/2
2.512 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.512 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.512 * [taylor]: Taking taylor expansion of 1/4 in y
2.512 * [backup-simplify]: Simplify 1/4 into 1/4
2.512 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.512 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.512 * [taylor]: Taking taylor expansion of z in y
2.512 * [backup-simplify]: Simplify z into z
2.512 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.513 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.513 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.513 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.513 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.513 * [taylor]: Taking taylor expansion of 1/2 in y
2.513 * [backup-simplify]: Simplify 1/2 into 1/2
2.513 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.513 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.513 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.513 * [taylor]: Taking taylor expansion of z in y
2.513 * [backup-simplify]: Simplify z into z
2.513 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.513 * [taylor]: Taking taylor expansion of y in y
2.513 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify 1 into 1
2.513 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.514 * [backup-simplify]: Simplify (* 1 1) into 1
2.514 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.514 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.514 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.514 * [taylor]: Taking taylor expansion of 1/4 in y
2.514 * [backup-simplify]: Simplify 1/4 into 1/4
2.514 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.514 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.514 * [taylor]: Taking taylor expansion of y in y
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 1 into 1
2.515 * [backup-simplify]: Simplify (* 1 1) into 1
2.515 * [backup-simplify]: Simplify (* 1 1) into 1
2.515 * [backup-simplify]: Simplify (/ 1 1) into 1
2.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.516 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.517 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.517 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.520 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.526 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.526 * [backup-simplify]: Simplify (+ 0 0) into 0
2.527 * [backup-simplify]: Simplify (+ 0 0) into 0
2.527 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.528 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.528 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.529 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.530 * [backup-simplify]: Simplify (+ 0 0) into 0
2.530 * [backup-simplify]: Simplify (+ 0 0) into 0
2.531 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.531 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.531 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.533 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.533 * [taylor]: Taking taylor expansion of 0 in z
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [taylor]: Taking taylor expansion of 0 in z
2.533 * [backup-simplify]: Simplify 0 into 0
2.533 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.536 * [backup-simplify]: Simplify (+ 0 0) into 0
2.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.537 * [taylor]: Taking taylor expansion of 0 in z
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [taylor]: Taking taylor expansion of 0 in z
2.537 * [backup-simplify]: Simplify 0 into 0
2.537 * [taylor]: Taking taylor expansion of 0 in z
2.537 * [backup-simplify]: Simplify 0 into 0
2.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.539 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.540 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
2.540 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
2.540 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
2.540 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
2.540 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
2.540 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.540 * [taylor]: Taking taylor expansion of x in z
2.540 * [backup-simplify]: Simplify x into x
2.540 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
2.540 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.540 * [taylor]: Taking taylor expansion of y in z
2.540 * [backup-simplify]: Simplify y into y
2.540 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.540 * [taylor]: Taking taylor expansion of z in z
2.540 * [backup-simplify]: Simplify 0 into 0
2.540 * [backup-simplify]: Simplify 1 into 1
2.540 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.541 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.541 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.541 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.541 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.541 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.541 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.542 * [backup-simplify]: Simplify (+ 0 0) into 0
2.542 * [backup-simplify]: Simplify (+ 0 0) into 0
2.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.543 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
2.543 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
2.543 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.543 * [taylor]: Taking taylor expansion of x in y
2.543 * [backup-simplify]: Simplify x into x
2.543 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.543 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.543 * [taylor]: Taking taylor expansion of y in y
2.543 * [backup-simplify]: Simplify 0 into 0
2.543 * [backup-simplify]: Simplify 1 into 1
2.543 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.543 * [taylor]: Taking taylor expansion of z in y
2.543 * [backup-simplify]: Simplify z into z
2.543 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.543 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.543 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.543 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.544 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.544 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.544 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.544 * [backup-simplify]: Simplify (+ 0 0) into 0
2.545 * [backup-simplify]: Simplify (+ 0 0) into 0
2.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.545 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.545 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.545 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.545 * [taylor]: Taking taylor expansion of x in x
2.545 * [backup-simplify]: Simplify 0 into 0
2.545 * [backup-simplify]: Simplify 1 into 1
2.545 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.545 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.545 * [taylor]: Taking taylor expansion of y in x
2.545 * [backup-simplify]: Simplify y into y
2.545 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.545 * [taylor]: Taking taylor expansion of z in x
2.545 * [backup-simplify]: Simplify z into z
2.545 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.545 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.546 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.546 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.546 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.546 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.546 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.547 * [backup-simplify]: Simplify (+ 0 0) into 0
2.547 * [backup-simplify]: Simplify (+ 0 0) into 0
2.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.548 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.548 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.548 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.548 * [taylor]: Taking taylor expansion of x in x
2.548 * [backup-simplify]: Simplify 0 into 0
2.548 * [backup-simplify]: Simplify 1 into 1
2.548 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.548 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.548 * [taylor]: Taking taylor expansion of y in x
2.548 * [backup-simplify]: Simplify y into y
2.548 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.548 * [taylor]: Taking taylor expansion of z in x
2.548 * [backup-simplify]: Simplify z into z
2.548 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.548 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.549 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.549 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.549 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.549 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.549 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.550 * [backup-simplify]: Simplify (+ 0 0) into 0
2.550 * [backup-simplify]: Simplify (+ 0 0) into 0
2.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.551 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.551 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.551 * [taylor]: Taking taylor expansion of y in y
2.551 * [backup-simplify]: Simplify 0 into 0
2.551 * [backup-simplify]: Simplify 1 into 1
2.551 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.551 * [taylor]: Taking taylor expansion of z in y
2.551 * [backup-simplify]: Simplify z into z
2.551 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.551 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.551 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.551 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.552 * [backup-simplify]: Simplify (+ 0 0) into 0
2.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.552 * [taylor]: Taking taylor expansion of z in z
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 1 into 1
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [taylor]: Taking taylor expansion of 0 in y
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [taylor]: Taking taylor expansion of 0 in z
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [taylor]: Taking taylor expansion of 0 in z
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 0 into 0
2.552 * [backup-simplify]: Simplify 1 into 1
2.553 * [backup-simplify]: Simplify (* 1 1) into 1
2.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.553 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.554 * [backup-simplify]: Simplify (+ 0 0) into 0
2.554 * [backup-simplify]: Simplify (+ 1 0) into 1
2.555 * [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)))))
2.555 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
2.555 * [taylor]: Taking taylor expansion of 1/2 in y
2.555 * [backup-simplify]: Simplify 1/2 into 1/2
2.555 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.555 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.555 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.555 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.555 * [taylor]: Taking taylor expansion of y in y
2.555 * [backup-simplify]: Simplify 0 into 0
2.555 * [backup-simplify]: Simplify 1 into 1
2.555 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.555 * [taylor]: Taking taylor expansion of z in y
2.555 * [backup-simplify]: Simplify z into z
2.555 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.556 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.556 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.556 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.556 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.556 * [backup-simplify]: Simplify (+ 0 0) into 0
2.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.557 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.557 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.557 * [taylor]: Taking taylor expansion of 1/2 in z
2.557 * [backup-simplify]: Simplify 1/2 into 1/2
2.557 * [taylor]: Taking taylor expansion of z in z
2.557 * [backup-simplify]: Simplify 0 into 0
2.557 * [backup-simplify]: Simplify 1 into 1
2.558 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.558 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.558 * [backup-simplify]: Simplify 0 into 0
2.558 * [taylor]: Taking taylor expansion of 0 in z
2.558 * [backup-simplify]: Simplify 0 into 0
2.558 * [backup-simplify]: Simplify 0 into 0
2.559 * [backup-simplify]: Simplify (* 1 1) into 1
2.559 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.560 * [backup-simplify]: Simplify (+ 1 0) into 1
2.560 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.560 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.560 * [taylor]: Taking taylor expansion of 1/2 in z
2.560 * [backup-simplify]: Simplify 1/2 into 1/2
2.560 * [taylor]: Taking taylor expansion of z in z
2.560 * [backup-simplify]: Simplify 0 into 0
2.560 * [backup-simplify]: Simplify 1 into 1
2.561 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify 0 into 0
2.562 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.563 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
2.563 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.563 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.563 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.563 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.563 * [taylor]: Taking taylor expansion of x in z
2.563 * [backup-simplify]: Simplify x into x
2.563 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.563 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.563 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.563 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.563 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.563 * [taylor]: Taking taylor expansion of z in z
2.563 * [backup-simplify]: Simplify 0 into 0
2.563 * [backup-simplify]: Simplify 1 into 1
2.564 * [backup-simplify]: Simplify (* 1 1) into 1
2.564 * [backup-simplify]: Simplify (/ 1 1) into 1
2.564 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.564 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.564 * [taylor]: Taking taylor expansion of y in z
2.564 * [backup-simplify]: Simplify y into y
2.564 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.564 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.565 * [backup-simplify]: Simplify (+ 1 0) into 1
2.565 * [backup-simplify]: Simplify (+ 0 1) into 1
2.566 * [backup-simplify]: Simplify (sqrt 1) into 1
2.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.567 * [backup-simplify]: Simplify (+ 0 0) into 0
2.567 * [backup-simplify]: Simplify (+ 0 0) into 0
2.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.568 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.568 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.568 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.568 * [taylor]: Taking taylor expansion of x in y
2.568 * [backup-simplify]: Simplify x into x
2.568 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.569 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.569 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.569 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.569 * [taylor]: Taking taylor expansion of z in y
2.569 * [backup-simplify]: Simplify z into z
2.569 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.569 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.569 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.569 * [taylor]: Taking taylor expansion of y in y
2.569 * [backup-simplify]: Simplify 0 into 0
2.569 * [backup-simplify]: Simplify 1 into 1
2.569 * [backup-simplify]: Simplify (* 1 1) into 1
2.570 * [backup-simplify]: Simplify (/ 1 1) into 1
2.570 * [backup-simplify]: Simplify (+ 0 1) into 1
2.570 * [backup-simplify]: Simplify (+ 0 1) into 1
2.571 * [backup-simplify]: Simplify (sqrt 1) into 1
2.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.572 * [backup-simplify]: Simplify (+ 0 0) into 0
2.573 * [backup-simplify]: Simplify (+ 0 0) into 0
2.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.573 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.573 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.573 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.573 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.573 * [taylor]: Taking taylor expansion of x in x
2.574 * [backup-simplify]: Simplify 0 into 0
2.574 * [backup-simplify]: Simplify 1 into 1
2.574 * [backup-simplify]: Simplify (* 1 1) into 1
2.574 * [backup-simplify]: Simplify (/ 1 1) into 1
2.574 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.574 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.574 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.574 * [taylor]: Taking taylor expansion of z in x
2.574 * [backup-simplify]: Simplify z into z
2.574 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.575 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.575 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.575 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.575 * [taylor]: Taking taylor expansion of y in x
2.575 * [backup-simplify]: Simplify y into y
2.575 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.575 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.575 * [backup-simplify]: Simplify (+ 1 0) into 1
2.576 * [backup-simplify]: Simplify (sqrt 1) into 1
2.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.577 * [backup-simplify]: Simplify (+ 0 0) into 0
2.578 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.578 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.578 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.578 * [taylor]: Taking taylor expansion of x in x
2.578 * [backup-simplify]: Simplify 0 into 0
2.578 * [backup-simplify]: Simplify 1 into 1
2.578 * [backup-simplify]: Simplify (* 1 1) into 1
2.579 * [backup-simplify]: Simplify (/ 1 1) into 1
2.579 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.579 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.579 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.579 * [taylor]: Taking taylor expansion of z in x
2.579 * [backup-simplify]: Simplify z into z
2.579 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.579 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.579 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.579 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.579 * [taylor]: Taking taylor expansion of y in x
2.579 * [backup-simplify]: Simplify y into y
2.579 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.579 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.580 * [backup-simplify]: Simplify (+ 1 0) into 1
2.580 * [backup-simplify]: Simplify (sqrt 1) into 1
2.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.582 * [backup-simplify]: Simplify (+ 0 0) into 0
2.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.582 * [taylor]: Taking taylor expansion of 1 in y
2.583 * [backup-simplify]: Simplify 1 into 1
2.583 * [taylor]: Taking taylor expansion of 0 in y
2.583 * [backup-simplify]: Simplify 0 into 0
2.583 * [taylor]: Taking taylor expansion of 1 in z
2.583 * [backup-simplify]: Simplify 1 into 1
2.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.585 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.585 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.587 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.587 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.587 * [taylor]: Taking taylor expansion of 1/2 in y
2.587 * [backup-simplify]: Simplify 1/2 into 1/2
2.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.587 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.587 * [taylor]: Taking taylor expansion of z in y
2.587 * [backup-simplify]: Simplify z into z
2.587 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.587 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.587 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.587 * [taylor]: Taking taylor expansion of y in y
2.587 * [backup-simplify]: Simplify 0 into 0
2.587 * [backup-simplify]: Simplify 1 into 1
2.588 * [backup-simplify]: Simplify (* 1 1) into 1
2.588 * [backup-simplify]: Simplify (/ 1 1) into 1
2.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.589 * [backup-simplify]: Simplify (+ 0 0) into 0
2.590 * [backup-simplify]: Simplify (+ 0 1) into 1
2.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.591 * [taylor]: Taking taylor expansion of 0 in z
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [taylor]: Taking taylor expansion of 0 in z
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [taylor]: Taking taylor expansion of 0 in z
2.591 * [backup-simplify]: Simplify 0 into 0
2.591 * [backup-simplify]: Simplify 1 into 1
2.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.593 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.593 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.593 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.594 * [backup-simplify]: Simplify (+ 0 0) into 0
2.594 * [backup-simplify]: Simplify (+ 0 0) into 0
2.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.595 * [taylor]: Taking taylor expansion of 0 in y
2.595 * [backup-simplify]: Simplify 0 into 0
2.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.597 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.597 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.598 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.598 * [taylor]: Taking taylor expansion of 1/2 in z
2.598 * [backup-simplify]: Simplify 1/2 into 1/2
2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.598 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.598 * [taylor]: Taking taylor expansion of z in z
2.598 * [backup-simplify]: Simplify 0 into 0
2.598 * [backup-simplify]: Simplify 1 into 1
2.598 * [backup-simplify]: Simplify (* 1 1) into 1
2.598 * [backup-simplify]: Simplify (/ 1 1) into 1
2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.600 * [backup-simplify]: Simplify 0 into 0
2.600 * [taylor]: Taking taylor expansion of 0 in z
2.600 * [backup-simplify]: Simplify 0 into 0
2.601 * [taylor]: Taking taylor expansion of 0 in z
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 0 into 0
2.601 * [backup-simplify]: Simplify 0 into 0
2.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.603 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.604 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.605 * [backup-simplify]: Simplify (+ 0 0) into 0
2.605 * [backup-simplify]: Simplify (+ 0 0) into 0
2.607 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.607 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.607 * [taylor]: Taking taylor expansion of -1/2 in y
2.607 * [backup-simplify]: Simplify -1/2 into -1/2
2.607 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.607 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.607 * [taylor]: Taking taylor expansion of 1/4 in y
2.607 * [backup-simplify]: Simplify 1/4 into 1/4
2.607 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.607 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.607 * [taylor]: Taking taylor expansion of z in y
2.607 * [backup-simplify]: Simplify z into z
2.607 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.607 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.607 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.607 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.608 * [taylor]: Taking taylor expansion of 1/2 in y
2.608 * [backup-simplify]: Simplify 1/2 into 1/2
2.608 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.608 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.608 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.608 * [taylor]: Taking taylor expansion of z in y
2.608 * [backup-simplify]: Simplify z into z
2.608 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.608 * [taylor]: Taking taylor expansion of y in y
2.608 * [backup-simplify]: Simplify 0 into 0
2.608 * [backup-simplify]: Simplify 1 into 1
2.608 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.608 * [backup-simplify]: Simplify (* 1 1) into 1
2.608 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.608 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.608 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.609 * [taylor]: Taking taylor expansion of 1/4 in y
2.609 * [backup-simplify]: Simplify 1/4 into 1/4
2.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.609 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.609 * [taylor]: Taking taylor expansion of y in y
2.609 * [backup-simplify]: Simplify 0 into 0
2.609 * [backup-simplify]: Simplify 1 into 1
2.609 * [backup-simplify]: Simplify (* 1 1) into 1
2.609 * [backup-simplify]: Simplify (* 1 1) into 1
2.610 * [backup-simplify]: Simplify (/ 1 1) into 1
2.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.610 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.611 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.624 * [backup-simplify]: Simplify (+ 0 0) into 0
2.624 * [backup-simplify]: Simplify (+ 0 0) into 0
2.624 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.626 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.626 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.626 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.627 * [backup-simplify]: Simplify (+ 0 0) into 0
2.627 * [backup-simplify]: Simplify (+ 0 0) into 0
2.627 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.628 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.628 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.629 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.630 * [taylor]: Taking taylor expansion of 0 in z
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [taylor]: Taking taylor expansion of 0 in z
2.630 * [backup-simplify]: Simplify 0 into 0
2.630 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.632 * [backup-simplify]: Simplify (+ 0 0) into 0
2.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.634 * [taylor]: Taking taylor expansion of 0 in z
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [taylor]: Taking taylor expansion of 0 in z
2.634 * [backup-simplify]: Simplify 0 into 0
2.634 * [taylor]: Taking taylor expansion of 0 in z
2.634 * [backup-simplify]: Simplify 0 into 0
2.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.637 * [backup-simplify]: Simplify 0 into 0
2.637 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.637 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
2.637 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.637 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.638 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.638 * [taylor]: Taking taylor expansion of x in z
2.638 * [backup-simplify]: Simplify x into x
2.638 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.638 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.638 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.638 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.638 * [taylor]: Taking taylor expansion of z in z
2.638 * [backup-simplify]: Simplify 0 into 0
2.638 * [backup-simplify]: Simplify 1 into 1
2.639 * [backup-simplify]: Simplify (* 1 1) into 1
2.639 * [backup-simplify]: Simplify (/ 1 1) into 1
2.639 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.639 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.639 * [taylor]: Taking taylor expansion of y in z
2.639 * [backup-simplify]: Simplify y into y
2.639 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.639 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.640 * [backup-simplify]: Simplify (+ 1 0) into 1
2.640 * [backup-simplify]: Simplify (+ 0 1) into 1
2.640 * [backup-simplify]: Simplify (sqrt 1) into 1
2.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.642 * [backup-simplify]: Simplify (+ 0 0) into 0
2.642 * [backup-simplify]: Simplify (+ 0 0) into 0
2.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.643 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.643 * [taylor]: Taking taylor expansion of x in y
2.643 * [backup-simplify]: Simplify x into x
2.643 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.643 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.644 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.644 * [taylor]: Taking taylor expansion of z in y
2.644 * [backup-simplify]: Simplify z into z
2.644 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.644 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.644 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.644 * [taylor]: Taking taylor expansion of y in y
2.644 * [backup-simplify]: Simplify 0 into 0
2.644 * [backup-simplify]: Simplify 1 into 1
2.644 * [backup-simplify]: Simplify (* 1 1) into 1
2.645 * [backup-simplify]: Simplify (/ 1 1) into 1
2.645 * [backup-simplify]: Simplify (+ 0 1) into 1
2.645 * [backup-simplify]: Simplify (+ 0 1) into 1
2.646 * [backup-simplify]: Simplify (sqrt 1) into 1
2.646 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.647 * [backup-simplify]: Simplify (+ 0 0) into 0
2.648 * [backup-simplify]: Simplify (+ 0 0) into 0
2.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.648 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.648 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.648 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.648 * [taylor]: Taking taylor expansion of x in x
2.648 * [backup-simplify]: Simplify 0 into 0
2.648 * [backup-simplify]: Simplify 1 into 1
2.649 * [backup-simplify]: Simplify (* 1 1) into 1
2.649 * [backup-simplify]: Simplify (/ 1 1) into 1
2.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.649 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.649 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.649 * [taylor]: Taking taylor expansion of z in x
2.649 * [backup-simplify]: Simplify z into z
2.649 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.650 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.650 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.650 * [taylor]: Taking taylor expansion of y in x
2.650 * [backup-simplify]: Simplify y into y
2.650 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.650 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.650 * [backup-simplify]: Simplify (+ 1 0) into 1
2.651 * [backup-simplify]: Simplify (sqrt 1) into 1
2.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.652 * [backup-simplify]: Simplify (+ 0 0) into 0
2.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.653 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.653 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.653 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.653 * [taylor]: Taking taylor expansion of x in x
2.653 * [backup-simplify]: Simplify 0 into 0
2.653 * [backup-simplify]: Simplify 1 into 1
2.653 * [backup-simplify]: Simplify (* 1 1) into 1
2.654 * [backup-simplify]: Simplify (/ 1 1) into 1
2.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.654 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.654 * [taylor]: Taking taylor expansion of z in x
2.654 * [backup-simplify]: Simplify z into z
2.654 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.654 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.654 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.654 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.654 * [taylor]: Taking taylor expansion of y in x
2.654 * [backup-simplify]: Simplify y into y
2.654 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.654 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.655 * [backup-simplify]: Simplify (+ 1 0) into 1
2.655 * [backup-simplify]: Simplify (sqrt 1) into 1
2.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.657 * [backup-simplify]: Simplify (+ 0 0) into 0
2.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.657 * [taylor]: Taking taylor expansion of 1 in y
2.657 * [backup-simplify]: Simplify 1 into 1
2.657 * [taylor]: Taking taylor expansion of 0 in y
2.658 * [backup-simplify]: Simplify 0 into 0
2.658 * [taylor]: Taking taylor expansion of 1 in z
2.658 * [backup-simplify]: Simplify 1 into 1
2.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.660 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.660 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.661 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.661 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.661 * [taylor]: Taking taylor expansion of 1/2 in y
2.661 * [backup-simplify]: Simplify 1/2 into 1/2
2.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.661 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.661 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.661 * [taylor]: Taking taylor expansion of z in y
2.661 * [backup-simplify]: Simplify z into z
2.662 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.662 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.662 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.662 * [taylor]: Taking taylor expansion of y in y
2.662 * [backup-simplify]: Simplify 0 into 0
2.662 * [backup-simplify]: Simplify 1 into 1
2.662 * [backup-simplify]: Simplify (* 1 1) into 1
2.663 * [backup-simplify]: Simplify (/ 1 1) into 1
2.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.664 * [backup-simplify]: Simplify (+ 0 0) into 0
2.664 * [backup-simplify]: Simplify (+ 0 1) into 1
2.665 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.665 * [taylor]: Taking taylor expansion of 0 in z
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [taylor]: Taking taylor expansion of 0 in z
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [taylor]: Taking taylor expansion of 0 in z
2.665 * [backup-simplify]: Simplify 0 into 0
2.665 * [backup-simplify]: Simplify 1 into 1
2.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.667 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.668 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.668 * [backup-simplify]: Simplify (+ 0 0) into 0
2.669 * [backup-simplify]: Simplify (+ 0 0) into 0
2.669 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.669 * [taylor]: Taking taylor expansion of 0 in y
2.669 * [backup-simplify]: Simplify 0 into 0
2.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.671 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.672 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.672 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.672 * [taylor]: Taking taylor expansion of 1/2 in z
2.672 * [backup-simplify]: Simplify 1/2 into 1/2
2.672 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.672 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.672 * [taylor]: Taking taylor expansion of z in z
2.672 * [backup-simplify]: Simplify 0 into 0
2.672 * [backup-simplify]: Simplify 1 into 1
2.673 * [backup-simplify]: Simplify (* 1 1) into 1
2.673 * [backup-simplify]: Simplify (/ 1 1) into 1
2.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.675 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [taylor]: Taking taylor expansion of 0 in z
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [taylor]: Taking taylor expansion of 0 in z
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 0 into 0
2.675 * [backup-simplify]: Simplify 0 into 0
2.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.678 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.679 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.680 * [backup-simplify]: Simplify (+ 0 0) into 0
2.681 * [backup-simplify]: Simplify (+ 0 0) into 0
2.683 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.683 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.683 * [taylor]: Taking taylor expansion of -1/2 in y
2.683 * [backup-simplify]: Simplify -1/2 into -1/2
2.683 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.683 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.683 * [taylor]: Taking taylor expansion of 1/4 in y
2.683 * [backup-simplify]: Simplify 1/4 into 1/4
2.683 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.683 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.684 * [taylor]: Taking taylor expansion of z in y
2.684 * [backup-simplify]: Simplify z into z
2.684 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.684 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.685 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.685 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.685 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.685 * [taylor]: Taking taylor expansion of 1/2 in y
2.685 * [backup-simplify]: Simplify 1/2 into 1/2
2.685 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.685 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.685 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.685 * [taylor]: Taking taylor expansion of z in y
2.685 * [backup-simplify]: Simplify z into z
2.685 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.685 * [taylor]: Taking taylor expansion of y in y
2.685 * [backup-simplify]: Simplify 0 into 0
2.685 * [backup-simplify]: Simplify 1 into 1
2.685 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.686 * [backup-simplify]: Simplify (* 1 1) into 1
2.686 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.686 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.686 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.686 * [taylor]: Taking taylor expansion of 1/4 in y
2.686 * [backup-simplify]: Simplify 1/4 into 1/4
2.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.686 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.686 * [taylor]: Taking taylor expansion of y in y
2.686 * [backup-simplify]: Simplify 0 into 0
2.686 * [backup-simplify]: Simplify 1 into 1
2.687 * [backup-simplify]: Simplify (* 1 1) into 1
2.687 * [backup-simplify]: Simplify (* 1 1) into 1
2.688 * [backup-simplify]: Simplify (/ 1 1) into 1
2.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.689 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.689 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.690 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.700 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.700 * [backup-simplify]: Simplify (+ 0 0) into 0
2.701 * [backup-simplify]: Simplify (+ 0 0) into 0
2.701 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.702 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.703 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.703 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.706 * [backup-simplify]: Simplify (+ 0 0) into 0
2.707 * [backup-simplify]: Simplify (+ 0 0) into 0
2.708 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.709 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.710 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.712 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.712 * [taylor]: Taking taylor expansion of 0 in z
2.712 * [backup-simplify]: Simplify 0 into 0
2.712 * [taylor]: Taking taylor expansion of 0 in z
2.712 * [backup-simplify]: Simplify 0 into 0
2.713 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.713 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.717 * [backup-simplify]: Simplify (+ 0 0) into 0
2.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.719 * [taylor]: Taking taylor expansion of 0 in z
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [taylor]: Taking taylor expansion of 0 in z
2.719 * [backup-simplify]: Simplify 0 into 0
2.719 * [taylor]: Taking taylor expansion of 0 in z
2.719 * [backup-simplify]: Simplify 0 into 0
2.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.721 * [backup-simplify]: Simplify 0 into 0
2.722 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.722 * * * * [progress]: [ 3 / 4 ] generating series at (2)
2.722 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
2.722 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
2.723 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
2.723 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
2.723 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.723 * [taylor]: Taking taylor expansion of x in z
2.723 * [backup-simplify]: Simplify x into x
2.723 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
2.723 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.723 * [taylor]: Taking taylor expansion of y in z
2.723 * [backup-simplify]: Simplify y into y
2.723 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.723 * [taylor]: Taking taylor expansion of z in z
2.723 * [backup-simplify]: Simplify 0 into 0
2.723 * [backup-simplify]: Simplify 1 into 1
2.723 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.723 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.723 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.723 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.724 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.724 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.724 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.724 * [backup-simplify]: Simplify (+ 0 0) into 0
2.725 * [backup-simplify]: Simplify (+ 0 0) into 0
2.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
2.725 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
2.725 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.725 * [taylor]: Taking taylor expansion of x in y
2.725 * [backup-simplify]: Simplify x into x
2.725 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.725 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.725 * [taylor]: Taking taylor expansion of y in y
2.725 * [backup-simplify]: Simplify 0 into 0
2.725 * [backup-simplify]: Simplify 1 into 1
2.725 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.725 * [taylor]: Taking taylor expansion of z in y
2.725 * [backup-simplify]: Simplify z into z
2.725 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.726 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.726 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.726 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.726 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.726 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.726 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (+ 0 0) into 0
2.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.727 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.728 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.728 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.728 * [taylor]: Taking taylor expansion of x in x
2.728 * [backup-simplify]: Simplify 0 into 0
2.728 * [backup-simplify]: Simplify 1 into 1
2.728 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.728 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.728 * [taylor]: Taking taylor expansion of y in x
2.728 * [backup-simplify]: Simplify y into y
2.728 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.728 * [taylor]: Taking taylor expansion of z in x
2.728 * [backup-simplify]: Simplify z into z
2.728 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.728 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.728 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.728 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.729 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.729 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.729 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.729 * [backup-simplify]: Simplify (+ 0 0) into 0
2.730 * [backup-simplify]: Simplify (+ 0 0) into 0
2.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.730 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.730 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.730 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.730 * [taylor]: Taking taylor expansion of x in x
2.730 * [backup-simplify]: Simplify 0 into 0
2.730 * [backup-simplify]: Simplify 1 into 1
2.730 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.730 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.730 * [taylor]: Taking taylor expansion of y in x
2.730 * [backup-simplify]: Simplify y into y
2.730 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.730 * [taylor]: Taking taylor expansion of z in x
2.730 * [backup-simplify]: Simplify z into z
2.730 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.730 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.731 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.731 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.731 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.731 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.731 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.732 * [backup-simplify]: Simplify (+ 0 0) into 0
2.732 * [backup-simplify]: Simplify (+ 0 0) into 0
2.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.732 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.732 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.733 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.733 * [taylor]: Taking taylor expansion of y in y
2.733 * [backup-simplify]: Simplify 0 into 0
2.733 * [backup-simplify]: Simplify 1 into 1
2.733 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.733 * [taylor]: Taking taylor expansion of z in y
2.733 * [backup-simplify]: Simplify z into z
2.733 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.733 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.733 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.733 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.733 * [backup-simplify]: Simplify (+ 0 0) into 0
2.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.734 * [taylor]: Taking taylor expansion of z in z
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [taylor]: Taking taylor expansion of 0 in y
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [taylor]: Taking taylor expansion of 0 in z
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [taylor]: Taking taylor expansion of 0 in z
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 0 into 0
2.734 * [backup-simplify]: Simplify 1 into 1
2.734 * [backup-simplify]: Simplify (* 1 1) into 1
2.735 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.735 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.736 * [backup-simplify]: Simplify (+ 0 0) into 0
2.736 * [backup-simplify]: Simplify (+ 1 0) into 1
2.737 * [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)))))
2.737 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
2.737 * [taylor]: Taking taylor expansion of 1/2 in y
2.737 * [backup-simplify]: Simplify 1/2 into 1/2
2.737 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.737 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.737 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.737 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.737 * [taylor]: Taking taylor expansion of y in y
2.737 * [backup-simplify]: Simplify 0 into 0
2.737 * [backup-simplify]: Simplify 1 into 1
2.737 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.737 * [taylor]: Taking taylor expansion of z in y
2.737 * [backup-simplify]: Simplify z into z
2.737 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.738 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.738 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.738 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.738 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.739 * [backup-simplify]: Simplify (+ 0 0) into 0
2.739 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.739 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.739 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.739 * [taylor]: Taking taylor expansion of 1/2 in z
2.739 * [backup-simplify]: Simplify 1/2 into 1/2
2.740 * [taylor]: Taking taylor expansion of z in z
2.740 * [backup-simplify]: Simplify 0 into 0
2.740 * [backup-simplify]: Simplify 1 into 1
2.740 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [taylor]: Taking taylor expansion of 0 in z
2.741 * [backup-simplify]: Simplify 0 into 0
2.741 * [backup-simplify]: Simplify 0 into 0
2.742 * [backup-simplify]: Simplify (* 1 1) into 1
2.742 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.743 * [backup-simplify]: Simplify (+ 1 0) into 1
2.743 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.743 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.743 * [taylor]: Taking taylor expansion of 1/2 in z
2.744 * [backup-simplify]: Simplify 1/2 into 1/2
2.744 * [taylor]: Taking taylor expansion of z in z
2.744 * [backup-simplify]: Simplify 0 into 0
2.744 * [backup-simplify]: Simplify 1 into 1
2.744 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.745 * [backup-simplify]: Simplify 0 into 0
2.746 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.747 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))) (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
2.747 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.747 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.747 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.747 * [taylor]: Taking taylor expansion of x in z
2.747 * [backup-simplify]: Simplify x into x
2.747 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.747 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.747 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.747 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.747 * [taylor]: Taking taylor expansion of z in z
2.747 * [backup-simplify]: Simplify 0 into 0
2.747 * [backup-simplify]: Simplify 1 into 1
2.748 * [backup-simplify]: Simplify (* 1 1) into 1
2.748 * [backup-simplify]: Simplify (/ 1 1) into 1
2.748 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.748 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.748 * [taylor]: Taking taylor expansion of y in z
2.748 * [backup-simplify]: Simplify y into y
2.748 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.748 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.749 * [backup-simplify]: Simplify (+ 1 0) into 1
2.749 * [backup-simplify]: Simplify (+ 0 1) into 1
2.749 * [backup-simplify]: Simplify (sqrt 1) into 1
2.750 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.751 * [backup-simplify]: Simplify (+ 0 0) into 0
2.751 * [backup-simplify]: Simplify (+ 0 0) into 0
2.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.752 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.752 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.752 * [taylor]: Taking taylor expansion of x in y
2.752 * [backup-simplify]: Simplify x into x
2.752 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.752 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.752 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.752 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.752 * [taylor]: Taking taylor expansion of z in y
2.752 * [backup-simplify]: Simplify z into z
2.752 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.753 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.753 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.753 * [taylor]: Taking taylor expansion of y in y
2.753 * [backup-simplify]: Simplify 0 into 0
2.753 * [backup-simplify]: Simplify 1 into 1
2.753 * [backup-simplify]: Simplify (* 1 1) into 1
2.753 * [backup-simplify]: Simplify (/ 1 1) into 1
2.754 * [backup-simplify]: Simplify (+ 0 1) into 1
2.754 * [backup-simplify]: Simplify (+ 0 1) into 1
2.754 * [backup-simplify]: Simplify (sqrt 1) into 1
2.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.756 * [backup-simplify]: Simplify (+ 0 0) into 0
2.756 * [backup-simplify]: Simplify (+ 0 0) into 0
2.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.757 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.757 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.757 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.757 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.757 * [taylor]: Taking taylor expansion of x in x
2.757 * [backup-simplify]: Simplify 0 into 0
2.757 * [backup-simplify]: Simplify 1 into 1
2.757 * [backup-simplify]: Simplify (* 1 1) into 1
2.758 * [backup-simplify]: Simplify (/ 1 1) into 1
2.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.758 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.758 * [taylor]: Taking taylor expansion of z in x
2.758 * [backup-simplify]: Simplify z into z
2.758 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.758 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.758 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.758 * [taylor]: Taking taylor expansion of y in x
2.758 * [backup-simplify]: Simplify y into y
2.758 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.758 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.759 * [backup-simplify]: Simplify (+ 1 0) into 1
2.759 * [backup-simplify]: Simplify (sqrt 1) into 1
2.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.761 * [backup-simplify]: Simplify (+ 0 0) into 0
2.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.762 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.762 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.762 * [taylor]: Taking taylor expansion of x in x
2.762 * [backup-simplify]: Simplify 0 into 0
2.762 * [backup-simplify]: Simplify 1 into 1
2.762 * [backup-simplify]: Simplify (* 1 1) into 1
2.762 * [backup-simplify]: Simplify (/ 1 1) into 1
2.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.762 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.763 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.763 * [taylor]: Taking taylor expansion of z in x
2.763 * [backup-simplify]: Simplify z into z
2.763 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.763 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.763 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.763 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.763 * [taylor]: Taking taylor expansion of y in x
2.763 * [backup-simplify]: Simplify y into y
2.763 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.763 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.764 * [backup-simplify]: Simplify (+ 1 0) into 1
2.764 * [backup-simplify]: Simplify (sqrt 1) into 1
2.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.765 * [backup-simplify]: Simplify (+ 0 0) into 0
2.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.766 * [taylor]: Taking taylor expansion of 1 in y
2.766 * [backup-simplify]: Simplify 1 into 1
2.766 * [taylor]: Taking taylor expansion of 0 in y
2.766 * [backup-simplify]: Simplify 0 into 0
2.766 * [taylor]: Taking taylor expansion of 1 in z
2.766 * [backup-simplify]: Simplify 1 into 1
2.767 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.768 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.769 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.770 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.770 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.770 * [taylor]: Taking taylor expansion of 1/2 in y
2.770 * [backup-simplify]: Simplify 1/2 into 1/2
2.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.770 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.770 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.770 * [taylor]: Taking taylor expansion of z in y
2.770 * [backup-simplify]: Simplify z into z
2.770 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.771 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.771 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.771 * [taylor]: Taking taylor expansion of y in y
2.771 * [backup-simplify]: Simplify 0 into 0
2.771 * [backup-simplify]: Simplify 1 into 1
2.771 * [backup-simplify]: Simplify (* 1 1) into 1
2.771 * [backup-simplify]: Simplify (/ 1 1) into 1
2.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.773 * [backup-simplify]: Simplify (+ 0 0) into 0
2.776 * [backup-simplify]: Simplify (+ 0 1) into 1
2.778 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.778 * [taylor]: Taking taylor expansion of 0 in z
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [taylor]: Taking taylor expansion of 0 in z
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [taylor]: Taking taylor expansion of 0 in z
2.778 * [backup-simplify]: Simplify 0 into 0
2.778 * [backup-simplify]: Simplify 1 into 1
2.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.780 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.780 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.781 * [backup-simplify]: Simplify (+ 0 0) into 0
2.781 * [backup-simplify]: Simplify (+ 0 0) into 0
2.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.782 * [taylor]: Taking taylor expansion of 0 in y
2.782 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.784 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.785 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.785 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.785 * [taylor]: Taking taylor expansion of 1/2 in z
2.785 * [backup-simplify]: Simplify 1/2 into 1/2
2.785 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.785 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.785 * [taylor]: Taking taylor expansion of z in z
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.786 * [backup-simplify]: Simplify (* 1 1) into 1
2.786 * [backup-simplify]: Simplify (/ 1 1) into 1
2.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [taylor]: Taking taylor expansion of 0 in z
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [taylor]: Taking taylor expansion of 0 in z
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.791 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.792 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.792 * [backup-simplify]: Simplify (+ 0 0) into 0
2.793 * [backup-simplify]: Simplify (+ 0 0) into 0
2.794 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.794 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.794 * [taylor]: Taking taylor expansion of -1/2 in y
2.794 * [backup-simplify]: Simplify -1/2 into -1/2
2.794 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.794 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.794 * [taylor]: Taking taylor expansion of 1/4 in y
2.794 * [backup-simplify]: Simplify 1/4 into 1/4
2.795 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.795 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.795 * [taylor]: Taking taylor expansion of z in y
2.795 * [backup-simplify]: Simplify z into z
2.795 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.795 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.795 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.795 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.795 * [taylor]: Taking taylor expansion of 1/2 in y
2.795 * [backup-simplify]: Simplify 1/2 into 1/2
2.795 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.795 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.795 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.795 * [taylor]: Taking taylor expansion of z in y
2.795 * [backup-simplify]: Simplify z into z
2.795 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.795 * [taylor]: Taking taylor expansion of y in y
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.796 * [backup-simplify]: Simplify (* 1 1) into 1
2.796 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.796 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.796 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.796 * [taylor]: Taking taylor expansion of 1/4 in y
2.796 * [backup-simplify]: Simplify 1/4 into 1/4
2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.796 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.796 * [taylor]: Taking taylor expansion of y in y
2.796 * [backup-simplify]: Simplify 0 into 0
2.796 * [backup-simplify]: Simplify 1 into 1
2.797 * [backup-simplify]: Simplify (* 1 1) into 1
2.797 * [backup-simplify]: Simplify (* 1 1) into 1
2.797 * [backup-simplify]: Simplify (/ 1 1) into 1
2.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.798 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.799 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.799 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.805 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.808 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.808 * [backup-simplify]: Simplify (+ 0 0) into 0
2.808 * [backup-simplify]: Simplify (+ 0 0) into 0
2.808 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.809 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.810 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.810 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.810 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.811 * [backup-simplify]: Simplify (+ 0 0) into 0
2.811 * [backup-simplify]: Simplify (+ 0 0) into 0
2.811 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.812 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.812 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.813 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.813 * [taylor]: Taking taylor expansion of 0 in z
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [taylor]: Taking taylor expansion of 0 in z
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.817 * [taylor]: Taking taylor expansion of 0 in z
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [taylor]: Taking taylor expansion of 0 in z
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [taylor]: Taking taylor expansion of 0 in z
2.817 * [backup-simplify]: Simplify 0 into 0
2.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.820 * [backup-simplify]: Simplify 0 into 0
2.820 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.821 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))) (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
2.821 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
2.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.821 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.821 * [taylor]: Taking taylor expansion of x in z
2.821 * [backup-simplify]: Simplify x into x
2.821 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.821 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.821 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.821 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.822 * [taylor]: Taking taylor expansion of z in z
2.822 * [backup-simplify]: Simplify 0 into 0
2.822 * [backup-simplify]: Simplify 1 into 1
2.822 * [backup-simplify]: Simplify (* 1 1) into 1
2.822 * [backup-simplify]: Simplify (/ 1 1) into 1
2.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.822 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.822 * [taylor]: Taking taylor expansion of y in z
2.822 * [backup-simplify]: Simplify y into y
2.823 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.823 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.823 * [backup-simplify]: Simplify (+ 1 0) into 1
2.824 * [backup-simplify]: Simplify (+ 0 1) into 1
2.824 * [backup-simplify]: Simplify (sqrt 1) into 1
2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.825 * [backup-simplify]: Simplify (+ 0 0) into 0
2.826 * [backup-simplify]: Simplify (+ 0 0) into 0
2.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.826 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.826 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.826 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.826 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.826 * [taylor]: Taking taylor expansion of x in y
2.827 * [backup-simplify]: Simplify x into x
2.827 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.827 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.827 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.827 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.827 * [taylor]: Taking taylor expansion of z in y
2.827 * [backup-simplify]: Simplify z into z
2.827 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.827 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.827 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.827 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.827 * [taylor]: Taking taylor expansion of y in y
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 1 into 1
2.828 * [backup-simplify]: Simplify (* 1 1) into 1
2.828 * [backup-simplify]: Simplify (/ 1 1) into 1
2.828 * [backup-simplify]: Simplify (+ 0 1) into 1
2.829 * [backup-simplify]: Simplify (+ 0 1) into 1
2.829 * [backup-simplify]: Simplify (sqrt 1) into 1
2.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.830 * [backup-simplify]: Simplify (+ 0 0) into 0
2.831 * [backup-simplify]: Simplify (+ 0 0) into 0
2.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.832 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.832 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.832 * [taylor]: Taking taylor expansion of x in x
2.832 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify 1 into 1
2.832 * [backup-simplify]: Simplify (* 1 1) into 1
2.832 * [backup-simplify]: Simplify (/ 1 1) into 1
2.832 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.832 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.832 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.832 * [taylor]: Taking taylor expansion of z in x
2.832 * [backup-simplify]: Simplify z into z
2.833 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.833 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.833 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.833 * [taylor]: Taking taylor expansion of y in x
2.833 * [backup-simplify]: Simplify y into y
2.833 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.833 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.833 * [backup-simplify]: Simplify (+ 1 0) into 1
2.834 * [backup-simplify]: Simplify (sqrt 1) into 1
2.834 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.835 * [backup-simplify]: Simplify (+ 0 0) into 0
2.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.836 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.836 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.836 * [taylor]: Taking taylor expansion of x in x
2.836 * [backup-simplify]: Simplify 0 into 0
2.836 * [backup-simplify]: Simplify 1 into 1
2.836 * [backup-simplify]: Simplify (* 1 1) into 1
2.837 * [backup-simplify]: Simplify (/ 1 1) into 1
2.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.837 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.837 * [taylor]: Taking taylor expansion of z in x
2.837 * [backup-simplify]: Simplify z into z
2.837 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.837 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.837 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.837 * [taylor]: Taking taylor expansion of y in x
2.837 * [backup-simplify]: Simplify y into y
2.837 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.838 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.838 * [backup-simplify]: Simplify (+ 1 0) into 1
2.838 * [backup-simplify]: Simplify (sqrt 1) into 1
2.839 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.840 * [backup-simplify]: Simplify (+ 0 0) into 0
2.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.841 * [taylor]: Taking taylor expansion of 1 in y
2.841 * [backup-simplify]: Simplify 1 into 1
2.841 * [taylor]: Taking taylor expansion of 0 in y
2.841 * [backup-simplify]: Simplify 0 into 0
2.841 * [taylor]: Taking taylor expansion of 1 in z
2.841 * [backup-simplify]: Simplify 1 into 1
2.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.843 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.843 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.844 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.844 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.844 * [taylor]: Taking taylor expansion of 1/2 in y
2.845 * [backup-simplify]: Simplify 1/2 into 1/2
2.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.845 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.845 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.845 * [taylor]: Taking taylor expansion of z in y
2.845 * [backup-simplify]: Simplify z into z
2.845 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.845 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.845 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.845 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.845 * [taylor]: Taking taylor expansion of y in y
2.845 * [backup-simplify]: Simplify 0 into 0
2.845 * [backup-simplify]: Simplify 1 into 1
2.845 * [backup-simplify]: Simplify (* 1 1) into 1
2.846 * [backup-simplify]: Simplify (/ 1 1) into 1
2.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.847 * [backup-simplify]: Simplify (+ 0 0) into 0
2.848 * [backup-simplify]: Simplify (+ 0 1) into 1
2.848 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.848 * [taylor]: Taking taylor expansion of 0 in z
2.848 * [backup-simplify]: Simplify 0 into 0
2.848 * [taylor]: Taking taylor expansion of 0 in z
2.848 * [backup-simplify]: Simplify 0 into 0
2.849 * [taylor]: Taking taylor expansion of 0 in z
2.849 * [backup-simplify]: Simplify 0 into 0
2.849 * [backup-simplify]: Simplify 1 into 1
2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.851 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.851 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.852 * [backup-simplify]: Simplify (+ 0 0) into 0
2.853 * [backup-simplify]: Simplify (+ 0 0) into 0
2.854 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.854 * [taylor]: Taking taylor expansion of 0 in y
2.854 * [backup-simplify]: Simplify 0 into 0
2.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.857 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.859 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.859 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.859 * [taylor]: Taking taylor expansion of 1/2 in z
2.859 * [backup-simplify]: Simplify 1/2 into 1/2
2.859 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.859 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.859 * [taylor]: Taking taylor expansion of z in z
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify 1 into 1
2.860 * [backup-simplify]: Simplify (* 1 1) into 1
2.861 * [backup-simplify]: Simplify (/ 1 1) into 1
2.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.863 * [backup-simplify]: Simplify 0 into 0
2.864 * [taylor]: Taking taylor expansion of 0 in z
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [taylor]: Taking taylor expansion of 0 in z
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify 0 into 0
2.864 * [backup-simplify]: Simplify 0 into 0
2.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.867 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
2.868 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.868 * [backup-simplify]: Simplify (+ 0 0) into 0
2.869 * [backup-simplify]: Simplify (+ 0 0) into 0
2.870 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.870 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.870 * [taylor]: Taking taylor expansion of -1/2 in y
2.870 * [backup-simplify]: Simplify -1/2 into -1/2
2.870 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.871 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.871 * [taylor]: Taking taylor expansion of 1/4 in y
2.871 * [backup-simplify]: Simplify 1/4 into 1/4
2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.871 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.871 * [taylor]: Taking taylor expansion of z in y
2.871 * [backup-simplify]: Simplify z into z
2.871 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.871 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.871 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.871 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.871 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.871 * [taylor]: Taking taylor expansion of 1/2 in y
2.871 * [backup-simplify]: Simplify 1/2 into 1/2
2.871 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.871 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.871 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.871 * [taylor]: Taking taylor expansion of z in y
2.871 * [backup-simplify]: Simplify z into z
2.871 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.871 * [taylor]: Taking taylor expansion of y in y
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.872 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.872 * [backup-simplify]: Simplify (* 1 1) into 1
2.872 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.872 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.872 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.872 * [taylor]: Taking taylor expansion of 1/4 in y
2.872 * [backup-simplify]: Simplify 1/4 into 1/4
2.872 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.872 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.872 * [taylor]: Taking taylor expansion of y in y
2.872 * [backup-simplify]: Simplify 0 into 0
2.872 * [backup-simplify]: Simplify 1 into 1
2.873 * [backup-simplify]: Simplify (* 1 1) into 1
2.873 * [backup-simplify]: Simplify (* 1 1) into 1
2.873 * [backup-simplify]: Simplify (/ 1 1) into 1
2.874 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.874 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.875 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.875 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.877 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.880 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.883 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.883 * [backup-simplify]: Simplify (+ 0 0) into 0
2.884 * [backup-simplify]: Simplify (+ 0 0) into 0
2.884 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.885 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.885 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.886 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.886 * [backup-simplify]: Simplify (+ 0 0) into 0
2.886 * [backup-simplify]: Simplify (+ 0 0) into 0
2.887 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.887 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.888 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.889 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.889 * [taylor]: Taking taylor expansion of 0 in z
2.889 * [backup-simplify]: Simplify 0 into 0
2.889 * [taylor]: Taking taylor expansion of 0 in z
2.889 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.891 * [backup-simplify]: Simplify (+ 0 0) into 0
2.893 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.893 * [taylor]: Taking taylor expansion of 0 in z
2.893 * [backup-simplify]: Simplify 0 into 0
2.893 * [taylor]: Taking taylor expansion of 0 in z
2.893 * [backup-simplify]: Simplify 0 into 0
2.893 * [taylor]: Taking taylor expansion of 0 in z
2.893 * [backup-simplify]: Simplify 0 into 0
2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.895 * [backup-simplify]: Simplify 0 into 0
2.895 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.896 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
2.896 * [backup-simplify]: Simplify (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) into (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4)
2.896 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in (x y z) around 0
2.896 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in z
2.896 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z
2.896 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z
2.896 * [taylor]: Taking taylor expansion of 1/4 in z
2.896 * [backup-simplify]: Simplify 1/4 into 1/4
2.896 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
2.896 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
2.896 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.896 * [taylor]: Taking taylor expansion of x in z
2.896 * [backup-simplify]: Simplify x into x
2.896 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
2.896 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.896 * [taylor]: Taking taylor expansion of y in z
2.896 * [backup-simplify]: Simplify y into y
2.896 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.896 * [taylor]: Taking taylor expansion of z in z
2.896 * [backup-simplify]: Simplify 0 into 0
2.897 * [backup-simplify]: Simplify 1 into 1
2.897 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.897 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.897 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
2.897 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.897 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
2.898 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow x 2) (pow y 2)))) into (* 1/4 (log (+ (pow x 2) (pow y 2))))
2.898 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/4)
2.898 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in y
2.898 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in y
2.898 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in y
2.898 * [taylor]: Taking taylor expansion of 1/4 in y
2.898 * [backup-simplify]: Simplify 1/4 into 1/4
2.898 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
2.898 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
2.898 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.898 * [taylor]: Taking taylor expansion of x in y
2.898 * [backup-simplify]: Simplify x into x
2.898 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.898 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.898 * [taylor]: Taking taylor expansion of y in y
2.898 * [backup-simplify]: Simplify 0 into 0
2.898 * [backup-simplify]: Simplify 1 into 1
2.898 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.898 * [taylor]: Taking taylor expansion of z in y
2.898 * [backup-simplify]: Simplify z into z
2.898 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.898 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.899 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.899 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.899 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2)))
2.899 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow x 2) (pow z 2)))) into (* 1/4 (log (+ (pow x 2) (pow z 2))))
2.900 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/4)
2.900 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in x
2.900 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
2.900 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
2.900 * [taylor]: Taking taylor expansion of 1/4 in x
2.900 * [backup-simplify]: Simplify 1/4 into 1/4
2.900 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.900 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.900 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.900 * [taylor]: Taking taylor expansion of x in x
2.900 * [backup-simplify]: Simplify 0 into 0
2.900 * [backup-simplify]: Simplify 1 into 1
2.900 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.900 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.900 * [taylor]: Taking taylor expansion of y in x
2.900 * [backup-simplify]: Simplify y into y
2.900 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.900 * [taylor]: Taking taylor expansion of z in x
2.900 * [backup-simplify]: Simplify z into z
2.900 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.900 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.900 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.901 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.901 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
2.901 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2))))
2.902 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
2.902 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/4) in x
2.902 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
2.902 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
2.902 * [taylor]: Taking taylor expansion of 1/4 in x
2.902 * [backup-simplify]: Simplify 1/4 into 1/4
2.902 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
2.902 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
2.902 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.902 * [taylor]: Taking taylor expansion of x in x
2.902 * [backup-simplify]: Simplify 0 into 0
2.902 * [backup-simplify]: Simplify 1 into 1
2.902 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
2.902 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.902 * [taylor]: Taking taylor expansion of y in x
2.902 * [backup-simplify]: Simplify y into y
2.902 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.902 * [taylor]: Taking taylor expansion of z in x
2.902 * [backup-simplify]: Simplify z into z
2.902 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.902 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.902 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.903 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
2.903 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
2.903 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2))))
2.904 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
2.904 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 1/4) in y
2.904 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) in y
2.904 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (pow z 2)))) in y
2.904 * [taylor]: Taking taylor expansion of 1/4 in y
2.904 * [backup-simplify]: Simplify 1/4 into 1/4
2.904 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow z 2))) in y
2.904 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.904 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.904 * [taylor]: Taking taylor expansion of y in y
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 1 into 1
2.904 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.904 * [taylor]: Taking taylor expansion of z in y
2.904 * [backup-simplify]: Simplify z into z
2.904 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.904 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.904 * [backup-simplify]: Simplify (log (pow z 2)) into (log (pow z 2))
2.904 * [backup-simplify]: Simplify (* 1/4 (log (pow z 2))) into (* 1/4 (log (pow z 2)))
2.905 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow z 2)))) into (pow (pow z 2) 1/4)
2.905 * [taylor]: Taking taylor expansion of (pow (pow z 2) 1/4) in z
2.905 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow z 2)))) in z
2.905 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow z 2))) in z
2.905 * [taylor]: Taking taylor expansion of 1/4 in z
2.905 * [backup-simplify]: Simplify 1/4 into 1/4
2.905 * [taylor]: Taking taylor expansion of (log (pow z 2)) in z
2.905 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.905 * [taylor]: Taking taylor expansion of z in z
2.905 * [backup-simplify]: Simplify 0 into 0
2.905 * [backup-simplify]: Simplify 1 into 1
2.905 * [backup-simplify]: Simplify (* 1 1) into 1
2.906 * [backup-simplify]: Simplify (log 1) into 0
2.906 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z))
2.906 * [backup-simplify]: Simplify (* 1/4 (* 2 (log z))) into (* 1/2 (log z))
2.906 * [backup-simplify]: Simplify (exp (* 1/2 (log z))) into (pow z 1/2)
2.906 * [backup-simplify]: Simplify (pow z 1/2) into (pow z 1/2)
2.907 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.907 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.907 * [backup-simplify]: Simplify (+ 0 0) into 0
2.907 * [backup-simplify]: Simplify (+ 0 0) into 0
2.908 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 1) into 0
2.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow y 2) (pow z 2))))) into 0
2.910 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
2.910 * [taylor]: Taking taylor expansion of 0 in y
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [taylor]: Taking taylor expansion of 0 in z
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.911 * [backup-simplify]: Simplify (+ 0 0) into 0
2.911 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow z 2) 1)))) 1) into 0
2.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow z 2)))) into 0
2.913 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow z 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
2.913 * [taylor]: Taking taylor expansion of 0 in z
2.913 * [backup-simplify]: Simplify 0 into 0
2.913 * [backup-simplify]: Simplify 0 into 0
2.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.914 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.915 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z))
2.915 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log z)))) into 0
2.916 * [backup-simplify]: Simplify (* (exp (* 1/2 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
2.916 * [backup-simplify]: Simplify 0 into 0
2.916 * [backup-simplify]: Simplify (* 1 1) into 1
2.917 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.917 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.918 * [backup-simplify]: Simplify (+ 0 0) into 0
2.918 * [backup-simplify]: Simplify (+ 1 0) into 1
2.920 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow y 2) (pow z 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 2) into (/ 1 (+ (pow y 2) (pow z 2)))
2.921 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (+ (pow y 2) (pow z 2)))) (+ (* 0 0) (* 0 (log (+ (pow y 2) (pow z 2)))))) into (* 1/4 (/ 1 (+ (pow y 2) (pow z 2))))
2.925 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (+ (pow y 2) (pow z 2)))) 1) 1)))) into (* 1/4 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4))
2.925 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4)) in y
2.925 * [taylor]: Taking taylor expansion of 1/4 in y
2.925 * [backup-simplify]: Simplify 1/4 into 1/4
2.925 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) in y
2.925 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) in y
2.926 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) in y
2.926 * [taylor]: Taking taylor expansion of 1/4 in y
2.926 * [backup-simplify]: Simplify 1/4 into 1/4
2.926 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))) in y
2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) in y
2.926 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 3) in y
2.926 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.926 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.926 * [taylor]: Taking taylor expansion of y in y
2.926 * [backup-simplify]: Simplify 0 into 0
2.926 * [backup-simplify]: Simplify 1 into 1
2.926 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.926 * [taylor]: Taking taylor expansion of z in y
2.926 * [backup-simplify]: Simplify z into z
2.926 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.926 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.926 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.926 * [backup-simplify]: Simplify (* (pow z 2) (pow z 4)) into (pow z 6)
2.927 * [backup-simplify]: Simplify (/ 1 (pow z 6)) into (/ 1 (pow z 6))
2.927 * [backup-simplify]: Simplify (log (/ 1 (pow z 6))) into (log (/ 1 (pow z 6)))
2.927 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow z 6)))) into (* 1/4 (log (/ 1 (pow z 6))))
2.927 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow z 6))))) into (pow (/ 1 (pow z 6)) 1/4)
2.927 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow z 6)) 1/4)) into (* 1/4 (sqrt (/ 1 (pow z 3))))
2.927 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow z 3)))) in z
2.928 * [taylor]: Taking taylor expansion of 1/4 in z
2.928 * [backup-simplify]: Simplify 1/4 into 1/4
2.928 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z
2.928 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z
2.928 * [taylor]: Taking taylor expansion of (pow z 3) in z
2.928 * [taylor]: Taking taylor expansion of z in z
2.928 * [backup-simplify]: Simplify 0 into 0
2.928 * [backup-simplify]: Simplify 1 into 1
2.928 * [backup-simplify]: Simplify (* 1 1) into 1
2.929 * [backup-simplify]: Simplify (* 1 1) into 1
2.929 * [backup-simplify]: Simplify (/ 1 1) into 1
2.929 * [backup-simplify]: Simplify (sqrt 0) into 0
2.931 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.935 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.937 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
2.938 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.938 * [taylor]: Taking taylor expansion of 0 in z
2.938 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify 0 into 0
2.938 * [backup-simplify]: Simplify (* 1 1) into 1
2.939 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.939 * [backup-simplify]: Simplify (+ 1 0) into 1
2.940 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow z 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow z 2) 1)))) 2) into (/ 1 (pow z 2))
2.941 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 (log (pow z 2))))) into (* 1/4 (/ 1 (pow z 2)))
2.942 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow z 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow z 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow z 3))))
2.942 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow z 3)))) in z
2.942 * [taylor]: Taking taylor expansion of 1/4 in z
2.942 * [backup-simplify]: Simplify 1/4 into 1/4
2.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z
2.942 * [taylor]: Taking taylor expansion of (pow z 3) in z
2.942 * [taylor]: Taking taylor expansion of z in z
2.942 * [backup-simplify]: Simplify 0 into 0
2.942 * [backup-simplify]: Simplify 1 into 1
2.943 * [backup-simplify]: Simplify (* 1 1) into 1
2.943 * [backup-simplify]: Simplify (* 1 1) into 1
2.943 * [backup-simplify]: Simplify (/ 1 1) into 1
2.944 * [backup-simplify]: Simplify (sqrt 0) into 0
2.945 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
2.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.950 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
2.952 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
2.953 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
2.954 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (* y 1)) 2)) (+ (* (- +nan.0) (pow (* 1 (* 1 x)) 2)) (pow z 1/2))) into (- (pow z 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow y 2)))))
2.954 * [backup-simplify]: Simplify (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4)
2.954 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in (x y z) around 0
2.954 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in z
2.955 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
2.955 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
2.955 * [taylor]: Taking taylor expansion of 1/4 in z
2.955 * [backup-simplify]: Simplify 1/4 into 1/4
2.955 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.955 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.955 * [taylor]: Taking taylor expansion of x in z
2.955 * [backup-simplify]: Simplify x into x
2.955 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.955 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.955 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.955 * [taylor]: Taking taylor expansion of z in z
2.955 * [backup-simplify]: Simplify 0 into 0
2.955 * [backup-simplify]: Simplify 1 into 1
2.956 * [backup-simplify]: Simplify (* 1 1) into 1
2.956 * [backup-simplify]: Simplify (/ 1 1) into 1
2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.956 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.956 * [taylor]: Taking taylor expansion of y in z
2.956 * [backup-simplify]: Simplify y into y
2.956 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.956 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.957 * [backup-simplify]: Simplify (+ 1 0) into 1
2.957 * [backup-simplify]: Simplify (+ 0 1) into 1
2.957 * [backup-simplify]: Simplify (log 1) into 0
2.958 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
2.958 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z))
2.958 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2)
2.958 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in y
2.958 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
2.958 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
2.958 * [taylor]: Taking taylor expansion of 1/4 in y
2.958 * [backup-simplify]: Simplify 1/4 into 1/4
2.958 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.958 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.958 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.958 * [taylor]: Taking taylor expansion of x in y
2.958 * [backup-simplify]: Simplify x into x
2.958 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.958 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.959 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.959 * [taylor]: Taking taylor expansion of z in y
2.959 * [backup-simplify]: Simplify z into z
2.959 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.959 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.959 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.959 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.959 * [taylor]: Taking taylor expansion of y in y
2.959 * [backup-simplify]: Simplify 0 into 0
2.959 * [backup-simplify]: Simplify 1 into 1
2.959 * [backup-simplify]: Simplify (* 1 1) into 1
2.960 * [backup-simplify]: Simplify (/ 1 1) into 1
2.960 * [backup-simplify]: Simplify (+ 0 1) into 1
2.960 * [backup-simplify]: Simplify (+ 0 1) into 1
2.961 * [backup-simplify]: Simplify (log 1) into 0
2.961 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
2.961 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
2.961 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
2.961 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in x
2.962 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
2.962 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
2.962 * [taylor]: Taking taylor expansion of 1/4 in x
2.962 * [backup-simplify]: Simplify 1/4 into 1/4
2.962 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.962 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.962 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.962 * [taylor]: Taking taylor expansion of x in x
2.962 * [backup-simplify]: Simplify 0 into 0
2.962 * [backup-simplify]: Simplify 1 into 1
2.962 * [backup-simplify]: Simplify (* 1 1) into 1
2.962 * [backup-simplify]: Simplify (/ 1 1) into 1
2.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.963 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.963 * [taylor]: Taking taylor expansion of z in x
2.963 * [backup-simplify]: Simplify z into z
2.963 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.963 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.963 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.963 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.963 * [taylor]: Taking taylor expansion of y in x
2.963 * [backup-simplify]: Simplify y into y
2.963 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.963 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.964 * [backup-simplify]: Simplify (+ 1 0) into 1
2.964 * [backup-simplify]: Simplify (log 1) into 0
2.964 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.964 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.965 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.965 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in x
2.965 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
2.965 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
2.965 * [taylor]: Taking taylor expansion of 1/4 in x
2.965 * [backup-simplify]: Simplify 1/4 into 1/4
2.965 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
2.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
2.965 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.965 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.965 * [taylor]: Taking taylor expansion of x in x
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [backup-simplify]: Simplify 1 into 1
2.965 * [backup-simplify]: Simplify (* 1 1) into 1
2.966 * [backup-simplify]: Simplify (/ 1 1) into 1
2.966 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
2.966 * [taylor]: Taking taylor expansion of (pow z 2) in x
2.966 * [taylor]: Taking taylor expansion of z in x
2.966 * [backup-simplify]: Simplify z into z
2.966 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.966 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.966 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.966 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.966 * [taylor]: Taking taylor expansion of y in x
2.966 * [backup-simplify]: Simplify y into y
2.966 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.966 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.967 * [backup-simplify]: Simplify (+ 1 0) into 1
2.967 * [backup-simplify]: Simplify (log 1) into 0
2.967 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.968 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
2.968 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.968 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
2.968 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
2.968 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
2.968 * [taylor]: Taking taylor expansion of -1/2 in y
2.968 * [backup-simplify]: Simplify -1/2 into -1/2
2.968 * [taylor]: Taking taylor expansion of (log x) in y
2.968 * [taylor]: Taking taylor expansion of x in y
2.968 * [backup-simplify]: Simplify x into x
2.968 * [backup-simplify]: Simplify (log x) into (log x)
2.968 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
2.968 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.968 * [taylor]: Taking taylor expansion of (pow x -1/2) in z
2.968 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in z
2.968 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in z
2.968 * [taylor]: Taking taylor expansion of -1/2 in z
2.968 * [backup-simplify]: Simplify -1/2 into -1/2
2.968 * [taylor]: Taking taylor expansion of (log x) in z
2.968 * [taylor]: Taking taylor expansion of x in z
2.968 * [backup-simplify]: Simplify x into x
2.968 * [backup-simplify]: Simplify (log x) into (log x)
2.969 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
2.969 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
2.969 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
2.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.970 * [backup-simplify]: Simplify (+ 0 0) into 0
2.972 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
2.972 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.973 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
2.973 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.973 * [taylor]: Taking taylor expansion of 0 in y
2.973 * [backup-simplify]: Simplify 0 into 0
2.973 * [taylor]: Taking taylor expansion of 0 in z
2.973 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.975 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
2.976 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.976 * [taylor]: Taking taylor expansion of 0 in z
2.976 * [backup-simplify]: Simplify 0 into 0
2.976 * [backup-simplify]: Simplify 0 into 0
2.977 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
2.977 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
2.978 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
2.978 * [backup-simplify]: Simplify 0 into 0
2.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.980 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.980 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.982 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))
2.983 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
2.984 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2))))
2.985 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) 1) 1)))) into (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
2.985 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2))))) in y
2.985 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
2.985 * [taylor]: Taking taylor expansion of (/ 1 x) in y
2.985 * [taylor]: Taking taylor expansion of x in y
2.985 * [backup-simplify]: Simplify x into x
2.985 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.985 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
2.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.985 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
2.985 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) in y
2.985 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 2))) in y
2.985 * [taylor]: Taking taylor expansion of 1/4 in y
2.986 * [backup-simplify]: Simplify 1/4 into 1/4
2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.986 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.986 * [taylor]: Taking taylor expansion of z in y
2.986 * [backup-simplify]: Simplify z into z
2.986 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.986 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.986 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 2))) in y
2.986 * [taylor]: Taking taylor expansion of 1/4 in y
2.986 * [backup-simplify]: Simplify 1/4 into 1/4
2.986 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.986 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.986 * [taylor]: Taking taylor expansion of y in y
2.986 * [backup-simplify]: Simplify 0 into 0
2.986 * [backup-simplify]: Simplify 1 into 1
2.986 * [backup-simplify]: Simplify (* 1 1) into 1
2.987 * [backup-simplify]: Simplify (/ 1 1) into 1
2.987 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow z 2))) into (/ 1/4 (pow z 2))
2.988 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.988 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.991 * [backup-simplify]: Simplify (+ (/ 1/4 (pow z 2)) 0) into (* 1/4 (/ 1 (pow z 2)))
2.992 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.992 * [backup-simplify]: Simplify (+ 0 0) into 0
2.992 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
2.993 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
2.993 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.993 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.994 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) (* 1/4 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow z 2))))
2.994 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow z 2)))) in z
2.995 * [taylor]: Taking taylor expansion of 1/4 in z
2.995 * [backup-simplify]: Simplify 1/4 into 1/4
2.995 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow z 2))) in z
2.995 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
2.995 * [taylor]: Taking taylor expansion of (/ 1 x) in z
2.995 * [taylor]: Taking taylor expansion of x in z
2.995 * [backup-simplify]: Simplify x into x
2.995 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
2.995 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
2.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
2.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
2.995 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.995 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.995 * [taylor]: Taking taylor expansion of z in z
2.995 * [backup-simplify]: Simplify 0 into 0
2.995 * [backup-simplify]: Simplify 1 into 1
2.996 * [backup-simplify]: Simplify (* 1 1) into 1
2.996 * [backup-simplify]: Simplify (/ 1 1) into 1
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
3.000 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
3.000 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
3.001 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
3.001 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
3.001 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [taylor]: Taking taylor expansion of 0 in z
3.002 * [backup-simplify]: Simplify 0 into 0
3.002 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
3.004 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
3.005 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.005 * [taylor]: Taking taylor expansion of 0 in z
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify (pow (/ 1 x) -1/2) into (pow (/ 1 x) -1/2)
3.006 * [backup-simplify]: Simplify (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4)
3.006 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in (x y z) around 0
3.006 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in z
3.006 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
3.006 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
3.006 * [taylor]: Taking taylor expansion of 1/4 in z
3.006 * [backup-simplify]: Simplify 1/4 into 1/4
3.006 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
3.006 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
3.006 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.006 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.006 * [taylor]: Taking taylor expansion of x in z
3.006 * [backup-simplify]: Simplify x into x
3.006 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.007 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.007 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
3.007 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.007 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.007 * [taylor]: Taking taylor expansion of z in z
3.007 * [backup-simplify]: Simplify 0 into 0
3.007 * [backup-simplify]: Simplify 1 into 1
3.007 * [backup-simplify]: Simplify (* 1 1) into 1
3.007 * [backup-simplify]: Simplify (/ 1 1) into 1
3.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.008 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.008 * [taylor]: Taking taylor expansion of y in z
3.008 * [backup-simplify]: Simplify y into y
3.008 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.008 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.008 * [backup-simplify]: Simplify (+ 1 0) into 1
3.009 * [backup-simplify]: Simplify (+ 0 1) into 1
3.009 * [backup-simplify]: Simplify (log 1) into 0
3.009 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
3.010 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z))
3.010 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2)
3.010 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in y
3.010 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
3.010 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
3.010 * [taylor]: Taking taylor expansion of 1/4 in y
3.010 * [backup-simplify]: Simplify 1/4 into 1/4
3.010 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.010 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.010 * [taylor]: Taking taylor expansion of x in y
3.010 * [backup-simplify]: Simplify x into x
3.010 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.010 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.010 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.010 * [taylor]: Taking taylor expansion of z in y
3.010 * [backup-simplify]: Simplify z into z
3.010 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.011 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.011 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.011 * [taylor]: Taking taylor expansion of y in y
3.011 * [backup-simplify]: Simplify 0 into 0
3.011 * [backup-simplify]: Simplify 1 into 1
3.011 * [backup-simplify]: Simplify (* 1 1) into 1
3.011 * [backup-simplify]: Simplify (/ 1 1) into 1
3.012 * [backup-simplify]: Simplify (+ 0 1) into 1
3.012 * [backup-simplify]: Simplify (+ 0 1) into 1
3.013 * [backup-simplify]: Simplify (log 1) into 0
3.013 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
3.013 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
3.013 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
3.013 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in x
3.013 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
3.013 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
3.013 * [taylor]: Taking taylor expansion of 1/4 in x
3.013 * [backup-simplify]: Simplify 1/4 into 1/4
3.013 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
3.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
3.013 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.014 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.014 * [taylor]: Taking taylor expansion of x in x
3.014 * [backup-simplify]: Simplify 0 into 0
3.014 * [backup-simplify]: Simplify 1 into 1
3.014 * [backup-simplify]: Simplify (* 1 1) into 1
3.014 * [backup-simplify]: Simplify (/ 1 1) into 1
3.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.014 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.014 * [taylor]: Taking taylor expansion of z in x
3.014 * [backup-simplify]: Simplify z into z
3.014 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.015 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.015 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.015 * [taylor]: Taking taylor expansion of y in x
3.015 * [backup-simplify]: Simplify y into y
3.015 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.015 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.015 * [backup-simplify]: Simplify (+ 1 0) into 1
3.016 * [backup-simplify]: Simplify (log 1) into 0
3.016 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.016 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
3.016 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
3.016 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/4) in x
3.016 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
3.016 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
3.016 * [taylor]: Taking taylor expansion of 1/4 in x
3.017 * [backup-simplify]: Simplify 1/4 into 1/4
3.017 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.017 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.017 * [taylor]: Taking taylor expansion of x in x
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.017 * [backup-simplify]: Simplify (* 1 1) into 1
3.017 * [backup-simplify]: Simplify (/ 1 1) into 1
3.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.017 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.017 * [taylor]: Taking taylor expansion of z in x
3.018 * [backup-simplify]: Simplify z into z
3.018 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.018 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.018 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.018 * [taylor]: Taking taylor expansion of y in x
3.018 * [backup-simplify]: Simplify y into y
3.018 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.018 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.018 * [backup-simplify]: Simplify (+ 1 0) into 1
3.019 * [backup-simplify]: Simplify (log 1) into 0
3.019 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.019 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
3.019 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
3.019 * [taylor]: Taking taylor expansion of (pow x -1/2) in y
3.020 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in y
3.020 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in y
3.020 * [taylor]: Taking taylor expansion of -1/2 in y
3.020 * [backup-simplify]: Simplify -1/2 into -1/2
3.020 * [taylor]: Taking taylor expansion of (log x) in y
3.020 * [taylor]: Taking taylor expansion of x in y
3.020 * [backup-simplify]: Simplify x into x
3.020 * [backup-simplify]: Simplify (log x) into (log x)
3.020 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
3.020 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
3.020 * [taylor]: Taking taylor expansion of (pow x -1/2) in z
3.020 * [taylor]: Taking taylor expansion of (exp (* -1/2 (log x))) in z
3.020 * [taylor]: Taking taylor expansion of (* -1/2 (log x)) in z
3.020 * [taylor]: Taking taylor expansion of -1/2 in z
3.020 * [backup-simplify]: Simplify -1/2 into -1/2
3.020 * [taylor]: Taking taylor expansion of (log x) in z
3.020 * [taylor]: Taking taylor expansion of x in z
3.020 * [backup-simplify]: Simplify x into x
3.020 * [backup-simplify]: Simplify (log x) into (log x)
3.020 * [backup-simplify]: Simplify (* -1/2 (log x)) into (* -1/2 (log x))
3.020 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
3.020 * [backup-simplify]: Simplify (pow x -1/2) into (pow x -1/2)
3.021 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.022 * [backup-simplify]: Simplify (+ 0 0) into 0
3.023 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.024 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.024 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
3.025 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.025 * [taylor]: Taking taylor expansion of 0 in y
3.025 * [backup-simplify]: Simplify 0 into 0
3.025 * [taylor]: Taking taylor expansion of 0 in z
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [backup-simplify]: Simplify 0 into 0
3.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
3.027 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
3.028 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.028 * [taylor]: Taking taylor expansion of 0 in z
3.028 * [backup-simplify]: Simplify 0 into 0
3.028 * [backup-simplify]: Simplify 0 into 0
3.029 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
3.030 * [backup-simplify]: Simplify (+ (* -1/2 0) (* 0 (log x))) into 0
3.031 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.031 * [backup-simplify]: Simplify 0 into 0
3.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.033 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.033 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.036 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))
3.036 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.037 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (+ (* 2 (/ 1 (pow z 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2))))
3.039 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) 1) 1)))) into (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))))
3.039 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2))))) in y
3.039 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
3.039 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.039 * [taylor]: Taking taylor expansion of x in y
3.039 * [backup-simplify]: Simplify x into x
3.039 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.039 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
3.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
3.039 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 2))) (* 1/4 (/ 1 (pow y 2)))) in y
3.039 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 2))) in y
3.039 * [taylor]: Taking taylor expansion of 1/4 in y
3.040 * [backup-simplify]: Simplify 1/4 into 1/4
3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.040 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.040 * [taylor]: Taking taylor expansion of z in y
3.040 * [backup-simplify]: Simplify z into z
3.040 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.040 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.040 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 2))) in y
3.040 * [taylor]: Taking taylor expansion of 1/4 in y
3.040 * [backup-simplify]: Simplify 1/4 into 1/4
3.040 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.040 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.040 * [taylor]: Taking taylor expansion of y in y
3.040 * [backup-simplify]: Simplify 0 into 0
3.040 * [backup-simplify]: Simplify 1 into 1
3.041 * [backup-simplify]: Simplify (* 1 1) into 1
3.041 * [backup-simplify]: Simplify (/ 1 1) into 1
3.041 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow z 2))) into (/ 1/4 (pow z 2))
3.042 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.046 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.046 * [backup-simplify]: Simplify (+ (/ 1/4 (pow z 2)) 0) into (* 1/4 (/ 1 (pow z 2)))
3.047 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.047 * [backup-simplify]: Simplify (+ 0 0) into 0
3.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
3.048 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
3.049 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.049 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.050 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) (* 1/4 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4))) into (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow z 2))))
3.050 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ 1 (pow z 2)))) in z
3.050 * [taylor]: Taking taylor expansion of 1/4 in z
3.050 * [backup-simplify]: Simplify 1/4 into 1/4
3.050 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ 1 (pow z 2))) in z
3.050 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
3.050 * [taylor]: Taking taylor expansion of (/ 1 x) in z
3.050 * [taylor]: Taking taylor expansion of x in z
3.050 * [backup-simplify]: Simplify x into x
3.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.050 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
3.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
3.051 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.051 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.051 * [taylor]: Taking taylor expansion of z in z
3.051 * [backup-simplify]: Simplify 0 into 0
3.051 * [backup-simplify]: Simplify 1 into 1
3.051 * [backup-simplify]: Simplify (* 1 1) into 1
3.052 * [backup-simplify]: Simplify (/ 1 1) into 1
3.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.055 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
3.056 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
3.057 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 1))) into 0
3.057 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 1)) into 0
3.057 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) 1) into (sqrt (/ 1 x))
3.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (sqrt (/ 1 x))))) into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [taylor]: Taking taylor expansion of 0 in z
3.058 * [backup-simplify]: Simplify 0 into 0
3.058 * [backup-simplify]: Simplify 0 into 0
3.061 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
3.061 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 0) (* 0 (log x)))) into 0
3.063 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.063 * [taylor]: Taking taylor expansion of 0 in z
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify 0 into 0
3.063 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -1/2) into (pow (/ -1 x) -1/2)
3.063 * * * [progress]: simplifying candidates
3.068 * [simplify]: Simplifying:
  (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))))
  (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))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1/2 2) (/ 1/2 2))
  (+ (/ 1/2 2) (/ (/ 1 2) 2))
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (+ (/ (/ 1 2) 2) (/ 1/2 2))
  (+ (/ (/ 1 2) 2) (/ (/ 1 2) 2))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* 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))))
  (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z)))
  (+ 1 1)
  (+ (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (log (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (exp (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (cbrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))))
  (* (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))))
  (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))) (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))))
  (* (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z)))))
  (* (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))
  (* (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt 1)) (sqrt (sqrt 1)))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
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  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
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  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1/2 2))
  (* 2 (/ 1 2))
  (* 2 (/ (/ 1 2) 2))
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  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))
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  (log (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (exp (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (sqrt (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))))
  (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt 1))
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  (sqrt 1)
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  (sqrt (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))))
  (sqrt (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))
  (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))))
  (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z))))
  (/ 1/2 2)
  (/ 1 2)
  (/ (/ 1 2) 2)
  (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (- (pow z 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow y 2)))))
  (pow (/ 1 x) -1/2)
  (pow (/ -1 x) -1/2)
3.077 * * [simplify]: Extracting # 0 : cost  0
3.078 * * [simplify]: Extracting # 1 : cost  0
3.078 * * [simplify]: Extracting # 2 : cost  0
3.078 * * [simplify]: Extracting # 3 : cost  0
3.079 * * [simplify]: Extracting # 4 : cost  0
3.079 * * [simplify]: Extracting # 5 : cost  0
3.079 * * [simplify]: Extracting # 6 : cost  0
3.080 * * [simplify]: Extracting # 7 : cost  0
3.080 * * [simplify]: Extracting # 8 : cost  0
3.085 * * [simplify]: Extracting # 9 : cost  0
3.086 * * [simplify]: Extracting # 10 : cost  0
3.086 * * [simplify]: iteration  0 :  130  enodes  (cost  4100 )
3.162 * * [simplify]: Extracting # 0 : cost  0
3.163 * * [simplify]: Extracting # 1 : cost  0
3.163 * * [simplify]: Extracting # 2 : cost  0
3.164 * * [simplify]: Extracting # 3 : cost  0
3.164 * * [simplify]: Extracting # 4 : cost  0
3.165 * * [simplify]: Extracting # 5 : cost  0
3.165 * * [simplify]: iteration  1 :  290  enodes  (cost  2689 )
3.378 * * [simplify]: Extracting # 0 : cost  0
3.382 * * [simplify]: Extracting # 1 : cost  0
3.386 * * [simplify]: Extracting # 2 : cost  0
3.390 * * [simplify]: Extracting # 3 : cost  0
3.393 * * [simplify]: Extracting # 4 : cost  0
3.396 * * [simplify]: Extracting # 5 : cost  0
3.400 * * [simplify]: Extracting # 6 : cost  0
3.404 * * [simplify]: iteration  2 :  1472  enodes  (cost  2489 )
5.721 * * [simplify]: Extracting # 0 : cost  0
5.830 * * [simplify]: Extracting # 1 : cost  0
5.840 * * [simplify]: Extracting # 2 : cost  0
5.853 * * [simplify]: Extracting # 3 : cost  0
5.862 * * [simplify]: Extracting # 4 : cost  0
5.870 * * [simplify]: iteration done:  5000  enodes  (cost  2442 )
5.872 * [simplify]: Simplified to:
  (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)))))
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  1
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  (sqrt (+ (* (* z z) (- (* z z) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* z (pow z 3))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
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  (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y)))))
  (pow (sqrt (+ (+ (* y y) (* z z)) (* x x))) 3)
  (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  1
  (sqrt (+ (+ (* y y) (* z z)) (* x x)))
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  (sqrt (+ (* (* z z) (- (* z z) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* z (pow z 3))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  1
  1
  2
  1/2
  1/2
  1
  1
  1/2
  1/2
  (+ (+ (* y y) (* z z)) (* x x))
  (sqrt (+ (+ (* y y) (* z z)) (* x x)))
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  (pow (sqrt (+ (+ (* y y) (* z z)) (* x x))) (+ 3 1))
  2
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  (pow (sqrt (+ (+ (* y y) (* z z)) (* x x))) 3)
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  1
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  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
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  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  1
  (sqrt (+ (+ (* y y) (* z z)) (* x x)))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
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  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  1
  (sqrt (+ (+ (* y y) (* z z)) (* x x)))
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  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  1
  2
  1/2
  1
  1/2
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  (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (pow z 6) (pow (+ (* x x) (* y y)) 3)))))
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  (exp (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (* (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))
  (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  (pow (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))) 3)
  (fabs (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* x x) (* y y))))))
  (sqrt (fabs (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  1
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  1
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (pow z 6) (pow (+ (* x x) (* y y)) 3))))
  (sqrt (sqrt (+ (* (* z z) (- (* z z) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y))))))
  (sqrt (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* z (pow z 3)))))
  (sqrt (sqrt (- (+ (* x x) (* y y)) (* z z))))
  1/4
  1/2
  1/4
  (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  z
  x
  (- x)
  z
  x
  (- x)
  z
  x
  (- x)
  (- (sqrt z) (* +nan.0 (- (* x x) (* y y))))
  (pow (/ 1 x) -1/2)
  (pow (/ -1 x) -1/2)
5.873 * * * [progress]: adding candidates to table
6.718 * * [progress]: iteration 3 / 4
6.718 * * * [progress]: picking best candidate
6.741 * * * * [pick]: Picked  #<alt (λ (x y z) (* (* (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))>
6.741 * * * [progress]: localizing error
6.834 * * * [progress]: generating rewritten candidates
6.834 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
6.887 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1 1)
6.939 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1)
6.989 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
7.060 * * * [progress]: generating series expansions
7.060 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
7.060 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
7.060 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
7.061 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
7.061 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
7.061 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.061 * [taylor]: Taking taylor expansion of x in z
7.061 * [backup-simplify]: Simplify x into x
7.061 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
7.061 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.061 * [taylor]: Taking taylor expansion of y in z
7.061 * [backup-simplify]: Simplify y into y
7.061 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.061 * [taylor]: Taking taylor expansion of z in z
7.061 * [backup-simplify]: Simplify 0 into 0
7.061 * [backup-simplify]: Simplify 1 into 1
7.061 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.061 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.061 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.061 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.062 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.062 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.062 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.062 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (+ 0 0) into 0
7.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.063 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.063 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.063 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.063 * [taylor]: Taking taylor expansion of x in y
7.063 * [backup-simplify]: Simplify x into x
7.063 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.063 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.063 * [taylor]: Taking taylor expansion of y in y
7.063 * [backup-simplify]: Simplify 0 into 0
7.063 * [backup-simplify]: Simplify 1 into 1
7.063 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.063 * [taylor]: Taking taylor expansion of z in y
7.063 * [backup-simplify]: Simplify z into z
7.063 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.064 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.064 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.064 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.064 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.064 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.064 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.065 * [backup-simplify]: Simplify (+ 0 0) into 0
7.065 * [backup-simplify]: Simplify (+ 0 0) into 0
7.065 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
7.065 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
7.065 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
7.065 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.065 * [taylor]: Taking taylor expansion of x in x
7.065 * [backup-simplify]: Simplify 0 into 0
7.065 * [backup-simplify]: Simplify 1 into 1
7.065 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
7.065 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.066 * [taylor]: Taking taylor expansion of y in x
7.066 * [backup-simplify]: Simplify y into y
7.066 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.066 * [taylor]: Taking taylor expansion of z in x
7.066 * [backup-simplify]: Simplify z into z
7.066 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.066 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.066 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.066 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
7.066 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.067 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.067 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.067 * [backup-simplify]: Simplify (+ 0 0) into 0
7.067 * [backup-simplify]: Simplify (+ 0 0) into 0
7.068 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.068 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
7.068 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
7.068 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.068 * [taylor]: Taking taylor expansion of x in x
7.068 * [backup-simplify]: Simplify 0 into 0
7.068 * [backup-simplify]: Simplify 1 into 1
7.068 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
7.068 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.068 * [taylor]: Taking taylor expansion of y in x
7.068 * [backup-simplify]: Simplify y into y
7.068 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.068 * [taylor]: Taking taylor expansion of z in x
7.068 * [backup-simplify]: Simplify z into z
7.068 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.068 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.068 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.069 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
7.069 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.069 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.069 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.069 * [backup-simplify]: Simplify (+ 0 0) into 0
7.070 * [backup-simplify]: Simplify (+ 0 0) into 0
7.070 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.070 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
7.070 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.070 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.070 * [taylor]: Taking taylor expansion of y in y
7.070 * [backup-simplify]: Simplify 0 into 0
7.070 * [backup-simplify]: Simplify 1 into 1
7.070 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.070 * [taylor]: Taking taylor expansion of z in y
7.070 * [backup-simplify]: Simplify z into z
7.070 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.070 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.071 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
7.071 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.071 * [backup-simplify]: Simplify (+ 0 0) into 0
7.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
7.071 * [taylor]: Taking taylor expansion of z in z
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 1 into 1
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [taylor]: Taking taylor expansion of 0 in y
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [taylor]: Taking taylor expansion of 0 in z
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [taylor]: Taking taylor expansion of 0 in z
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 1 into 1
7.072 * [backup-simplify]: Simplify (* 1 1) into 1
7.072 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.073 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.073 * [backup-simplify]: Simplify (+ 0 0) into 0
7.073 * [backup-simplify]: Simplify (+ 1 0) into 1
7.074 * [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)))))
7.074 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
7.074 * [taylor]: Taking taylor expansion of 1/2 in y
7.074 * [backup-simplify]: Simplify 1/2 into 1/2
7.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
7.074 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
7.074 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.074 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.074 * [taylor]: Taking taylor expansion of y in y
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 1 into 1
7.075 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.075 * [taylor]: Taking taylor expansion of z in y
7.075 * [backup-simplify]: Simplify z into z
7.075 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.075 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.075 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.075 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
7.075 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.076 * [backup-simplify]: Simplify (+ 0 0) into 0
7.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
7.076 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
7.076 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.076 * [taylor]: Taking taylor expansion of 1/2 in z
7.076 * [backup-simplify]: Simplify 1/2 into 1/2
7.076 * [taylor]: Taking taylor expansion of z in z
7.076 * [backup-simplify]: Simplify 0 into 0
7.076 * [backup-simplify]: Simplify 1 into 1
7.077 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.078 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [taylor]: Taking taylor expansion of 0 in z
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify 0 into 0
7.078 * [backup-simplify]: Simplify (* 1 1) into 1
7.079 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.079 * [backup-simplify]: Simplify (+ 1 0) into 1
7.080 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
7.080 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
7.080 * [taylor]: Taking taylor expansion of 1/2 in z
7.080 * [backup-simplify]: Simplify 1/2 into 1/2
7.080 * [taylor]: Taking taylor expansion of z in z
7.080 * [backup-simplify]: Simplify 0 into 0
7.080 * [backup-simplify]: Simplify 1 into 1
7.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify 0 into 0
7.081 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
7.082 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.082 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
7.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.082 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.082 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.082 * [taylor]: Taking taylor expansion of x in z
7.082 * [backup-simplify]: Simplify x into x
7.082 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.082 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.082 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.082 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.082 * [taylor]: Taking taylor expansion of z in z
7.082 * [backup-simplify]: Simplify 0 into 0
7.082 * [backup-simplify]: Simplify 1 into 1
7.083 * [backup-simplify]: Simplify (* 1 1) into 1
7.083 * [backup-simplify]: Simplify (/ 1 1) into 1
7.083 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.083 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.083 * [taylor]: Taking taylor expansion of y in z
7.083 * [backup-simplify]: Simplify y into y
7.083 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.083 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.084 * [backup-simplify]: Simplify (+ 1 0) into 1
7.084 * [backup-simplify]: Simplify (+ 0 1) into 1
7.084 * [backup-simplify]: Simplify (sqrt 1) into 1
7.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.086 * [backup-simplify]: Simplify (+ 0 0) into 0
7.086 * [backup-simplify]: Simplify (+ 0 0) into 0
7.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.087 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.087 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.087 * [taylor]: Taking taylor expansion of x in y
7.087 * [backup-simplify]: Simplify x into x
7.087 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.087 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.087 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.087 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.087 * [taylor]: Taking taylor expansion of z in y
7.087 * [backup-simplify]: Simplify z into z
7.087 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.088 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.088 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.088 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.088 * [taylor]: Taking taylor expansion of y in y
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.088 * [backup-simplify]: Simplify (* 1 1) into 1
7.088 * [backup-simplify]: Simplify (/ 1 1) into 1
7.089 * [backup-simplify]: Simplify (+ 0 1) into 1
7.089 * [backup-simplify]: Simplify (+ 0 1) into 1
7.089 * [backup-simplify]: Simplify (sqrt 1) into 1
7.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.091 * [backup-simplify]: Simplify (+ 0 0) into 0
7.092 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.092 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.092 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.092 * [taylor]: Taking taylor expansion of x in x
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.092 * [backup-simplify]: Simplify (* 1 1) into 1
7.093 * [backup-simplify]: Simplify (/ 1 1) into 1
7.093 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.093 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.093 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.093 * [taylor]: Taking taylor expansion of z in x
7.093 * [backup-simplify]: Simplify z into z
7.093 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.093 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.093 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.093 * [taylor]: Taking taylor expansion of y in x
7.093 * [backup-simplify]: Simplify y into y
7.093 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.093 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.094 * [backup-simplify]: Simplify (+ 1 0) into 1
7.094 * [backup-simplify]: Simplify (sqrt 1) into 1
7.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.095 * [backup-simplify]: Simplify (+ 0 0) into 0
7.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.096 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.096 * [taylor]: Taking taylor expansion of x in x
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 1 into 1
7.097 * [backup-simplify]: Simplify (* 1 1) into 1
7.097 * [backup-simplify]: Simplify (/ 1 1) into 1
7.097 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.097 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.097 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.097 * [taylor]: Taking taylor expansion of z in x
7.097 * [backup-simplify]: Simplify z into z
7.097 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.097 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.097 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.097 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.097 * [taylor]: Taking taylor expansion of y in x
7.097 * [backup-simplify]: Simplify y into y
7.097 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.098 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.098 * [backup-simplify]: Simplify (+ 1 0) into 1
7.098 * [backup-simplify]: Simplify (sqrt 1) into 1
7.099 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.100 * [backup-simplify]: Simplify (+ 0 0) into 0
7.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.100 * [taylor]: Taking taylor expansion of 1 in y
7.101 * [backup-simplify]: Simplify 1 into 1
7.101 * [taylor]: Taking taylor expansion of 0 in y
7.101 * [backup-simplify]: Simplify 0 into 0
7.101 * [taylor]: Taking taylor expansion of 1 in z
7.101 * [backup-simplify]: Simplify 1 into 1
7.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.102 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
7.103 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
7.104 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
7.104 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.104 * [taylor]: Taking taylor expansion of 1/2 in y
7.104 * [backup-simplify]: Simplify 1/2 into 1/2
7.104 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.104 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.104 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.104 * [taylor]: Taking taylor expansion of z in y
7.104 * [backup-simplify]: Simplify z into z
7.104 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.105 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.105 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.105 * [taylor]: Taking taylor expansion of y in y
7.105 * [backup-simplify]: Simplify 0 into 0
7.105 * [backup-simplify]: Simplify 1 into 1
7.105 * [backup-simplify]: Simplify (* 1 1) into 1
7.105 * [backup-simplify]: Simplify (/ 1 1) into 1
7.106 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.107 * [backup-simplify]: Simplify (+ 0 0) into 0
7.107 * [backup-simplify]: Simplify (+ 0 1) into 1
7.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.108 * [taylor]: Taking taylor expansion of 0 in z
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [taylor]: Taking taylor expansion of 0 in z
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [taylor]: Taking taylor expansion of 0 in z
7.108 * [backup-simplify]: Simplify 0 into 0
7.108 * [backup-simplify]: Simplify 1 into 1
7.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.110 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.110 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.111 * [backup-simplify]: Simplify (+ 0 0) into 0
7.111 * [backup-simplify]: Simplify (+ 0 0) into 0
7.112 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
7.112 * [taylor]: Taking taylor expansion of 0 in y
7.112 * [backup-simplify]: Simplify 0 into 0
7.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.114 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
7.114 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
7.114 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
7.114 * [taylor]: Taking taylor expansion of 1/2 in z
7.114 * [backup-simplify]: Simplify 1/2 into 1/2
7.114 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.115 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.115 * [taylor]: Taking taylor expansion of z in z
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 1 into 1
7.115 * [backup-simplify]: Simplify (* 1 1) into 1
7.115 * [backup-simplify]: Simplify (/ 1 1) into 1
7.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.117 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [taylor]: Taking taylor expansion of 0 in z
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [taylor]: Taking taylor expansion of 0 in z
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [backup-simplify]: Simplify 0 into 0
7.117 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.119 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.120 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.121 * [backup-simplify]: Simplify (+ 0 0) into 0
7.121 * [backup-simplify]: Simplify (+ 0 0) into 0
7.123 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
7.123 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
7.123 * [taylor]: Taking taylor expansion of -1/2 in y
7.123 * [backup-simplify]: Simplify -1/2 into -1/2
7.123 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
7.123 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
7.123 * [taylor]: Taking taylor expansion of 1/4 in y
7.123 * [backup-simplify]: Simplify 1/4 into 1/4
7.123 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
7.123 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.123 * [taylor]: Taking taylor expansion of z in y
7.123 * [backup-simplify]: Simplify z into z
7.123 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.124 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.124 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
7.124 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
7.124 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
7.124 * [taylor]: Taking taylor expansion of 1/2 in y
7.124 * [backup-simplify]: Simplify 1/2 into 1/2
7.124 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
7.124 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
7.124 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.124 * [taylor]: Taking taylor expansion of z in y
7.124 * [backup-simplify]: Simplify z into z
7.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.124 * [taylor]: Taking taylor expansion of y in y
7.124 * [backup-simplify]: Simplify 0 into 0
7.124 * [backup-simplify]: Simplify 1 into 1
7.124 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.124 * [backup-simplify]: Simplify (* 1 1) into 1
7.125 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
7.125 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.125 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.125 * [taylor]: Taking taylor expansion of 1/4 in y
7.125 * [backup-simplify]: Simplify 1/4 into 1/4
7.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.125 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.125 * [taylor]: Taking taylor expansion of y in y
7.125 * [backup-simplify]: Simplify 0 into 0
7.125 * [backup-simplify]: Simplify 1 into 1
7.125 * [backup-simplify]: Simplify (* 1 1) into 1
7.126 * [backup-simplify]: Simplify (* 1 1) into 1
7.126 * [backup-simplify]: Simplify (/ 1 1) into 1
7.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.127 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.127 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
7.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
7.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.135 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.136 * [backup-simplify]: Simplify (+ 0 0) into 0
7.136 * [backup-simplify]: Simplify (+ 0 0) into 0
7.136 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
7.137 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.137 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
7.138 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
7.138 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.138 * [backup-simplify]: Simplify (+ 0 0) into 0
7.139 * [backup-simplify]: Simplify (+ 0 0) into 0
7.139 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.140 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.140 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.141 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.141 * [taylor]: Taking taylor expansion of 0 in z
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [taylor]: Taking taylor expansion of 0 in z
7.141 * [backup-simplify]: Simplify 0 into 0
7.141 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.142 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.143 * [backup-simplify]: Simplify (+ 0 0) into 0
7.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
7.145 * [taylor]: Taking taylor expansion of 0 in z
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [taylor]: Taking taylor expansion of 0 in z
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [taylor]: Taking taylor expansion of 0 in z
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.147 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
7.148 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.148 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
7.148 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.148 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.148 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.148 * [taylor]: Taking taylor expansion of x in z
7.148 * [backup-simplify]: Simplify x into x
7.148 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.148 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.148 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.148 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.148 * [taylor]: Taking taylor expansion of z in z
7.148 * [backup-simplify]: Simplify 0 into 0
7.148 * [backup-simplify]: Simplify 1 into 1
7.149 * [backup-simplify]: Simplify (* 1 1) into 1
7.149 * [backup-simplify]: Simplify (/ 1 1) into 1
7.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.149 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.149 * [taylor]: Taking taylor expansion of y in z
7.149 * [backup-simplify]: Simplify y into y
7.149 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.150 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.153 * [backup-simplify]: Simplify (+ 1 0) into 1
7.154 * [backup-simplify]: Simplify (+ 0 1) into 1
7.154 * [backup-simplify]: Simplify (sqrt 1) into 1
7.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.155 * [backup-simplify]: Simplify (+ 0 0) into 0
7.156 * [backup-simplify]: Simplify (+ 0 0) into 0
7.156 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.156 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.156 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.156 * [taylor]: Taking taylor expansion of x in y
7.157 * [backup-simplify]: Simplify x into x
7.157 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.157 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.157 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.157 * [taylor]: Taking taylor expansion of z in y
7.157 * [backup-simplify]: Simplify z into z
7.157 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.157 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.157 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.157 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.157 * [taylor]: Taking taylor expansion of y in y
7.157 * [backup-simplify]: Simplify 0 into 0
7.157 * [backup-simplify]: Simplify 1 into 1
7.158 * [backup-simplify]: Simplify (* 1 1) into 1
7.158 * [backup-simplify]: Simplify (/ 1 1) into 1
7.158 * [backup-simplify]: Simplify (+ 0 1) into 1
7.159 * [backup-simplify]: Simplify (+ 0 1) into 1
7.159 * [backup-simplify]: Simplify (sqrt 1) into 1
7.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.160 * [backup-simplify]: Simplify (+ 0 0) into 0
7.161 * [backup-simplify]: Simplify (+ 0 0) into 0
7.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.161 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.161 * [taylor]: Taking taylor expansion of x in x
7.162 * [backup-simplify]: Simplify 0 into 0
7.162 * [backup-simplify]: Simplify 1 into 1
7.162 * [backup-simplify]: Simplify (* 1 1) into 1
7.162 * [backup-simplify]: Simplify (/ 1 1) into 1
7.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.162 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.162 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.162 * [taylor]: Taking taylor expansion of z in x
7.162 * [backup-simplify]: Simplify z into z
7.162 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.163 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.163 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.163 * [taylor]: Taking taylor expansion of y in x
7.163 * [backup-simplify]: Simplify y into y
7.163 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.163 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.163 * [backup-simplify]: Simplify (+ 1 0) into 1
7.164 * [backup-simplify]: Simplify (sqrt 1) into 1
7.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.165 * [backup-simplify]: Simplify (+ 0 0) into 0
7.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.166 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.166 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.166 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.166 * [taylor]: Taking taylor expansion of x in x
7.166 * [backup-simplify]: Simplify 0 into 0
7.166 * [backup-simplify]: Simplify 1 into 1
7.166 * [backup-simplify]: Simplify (* 1 1) into 1
7.167 * [backup-simplify]: Simplify (/ 1 1) into 1
7.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.167 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.167 * [taylor]: Taking taylor expansion of z in x
7.167 * [backup-simplify]: Simplify z into z
7.167 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.167 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.167 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.167 * [taylor]: Taking taylor expansion of y in x
7.167 * [backup-simplify]: Simplify y into y
7.167 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.167 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.168 * [backup-simplify]: Simplify (+ 1 0) into 1
7.168 * [backup-simplify]: Simplify (sqrt 1) into 1
7.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.169 * [backup-simplify]: Simplify (+ 0 0) into 0
7.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.170 * [taylor]: Taking taylor expansion of 1 in y
7.170 * [backup-simplify]: Simplify 1 into 1
7.170 * [taylor]: Taking taylor expansion of 0 in y
7.170 * [backup-simplify]: Simplify 0 into 0
7.170 * [taylor]: Taking taylor expansion of 1 in z
7.170 * [backup-simplify]: Simplify 1 into 1
7.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.172 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
7.173 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
7.174 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
7.174 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.174 * [taylor]: Taking taylor expansion of 1/2 in y
7.174 * [backup-simplify]: Simplify 1/2 into 1/2
7.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.174 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.174 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.174 * [taylor]: Taking taylor expansion of z in y
7.174 * [backup-simplify]: Simplify z into z
7.174 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.174 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.174 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.174 * [taylor]: Taking taylor expansion of y in y
7.174 * [backup-simplify]: Simplify 0 into 0
7.174 * [backup-simplify]: Simplify 1 into 1
7.175 * [backup-simplify]: Simplify (* 1 1) into 1
7.175 * [backup-simplify]: Simplify (/ 1 1) into 1
7.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.177 * [backup-simplify]: Simplify (+ 0 0) into 0
7.177 * [backup-simplify]: Simplify (+ 0 1) into 1
7.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.178 * [taylor]: Taking taylor expansion of 0 in z
7.178 * [backup-simplify]: Simplify 0 into 0
7.178 * [taylor]: Taking taylor expansion of 0 in z
7.178 * [backup-simplify]: Simplify 0 into 0
7.178 * [taylor]: Taking taylor expansion of 0 in z
7.178 * [backup-simplify]: Simplify 0 into 0
7.178 * [backup-simplify]: Simplify 1 into 1
7.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.180 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.180 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.180 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.181 * [backup-simplify]: Simplify (+ 0 0) into 0
7.181 * [backup-simplify]: Simplify (+ 0 0) into 0
7.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
7.182 * [taylor]: Taking taylor expansion of 0 in y
7.182 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.184 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
7.184 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
7.185 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
7.185 * [taylor]: Taking taylor expansion of 1/2 in z
7.185 * [backup-simplify]: Simplify 1/2 into 1/2
7.185 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.185 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.185 * [taylor]: Taking taylor expansion of z in z
7.185 * [backup-simplify]: Simplify 0 into 0
7.185 * [backup-simplify]: Simplify 1 into 1
7.185 * [backup-simplify]: Simplify (* 1 1) into 1
7.185 * [backup-simplify]: Simplify (/ 1 1) into 1
7.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [taylor]: Taking taylor expansion of 0 in z
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [taylor]: Taking taylor expansion of 0 in z
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify 0 into 0
7.187 * [backup-simplify]: Simplify 0 into 0
7.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.190 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.191 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.191 * [backup-simplify]: Simplify (+ 0 0) into 0
7.192 * [backup-simplify]: Simplify (+ 0 0) into 0
7.193 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
7.193 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
7.193 * [taylor]: Taking taylor expansion of -1/2 in y
7.193 * [backup-simplify]: Simplify -1/2 into -1/2
7.193 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
7.193 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
7.193 * [taylor]: Taking taylor expansion of 1/4 in y
7.193 * [backup-simplify]: Simplify 1/4 into 1/4
7.193 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
7.194 * [taylor]: Taking taylor expansion of (pow z 4) in y
7.194 * [taylor]: Taking taylor expansion of z in y
7.194 * [backup-simplify]: Simplify z into z
7.194 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.194 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
7.194 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
7.194 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
7.194 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
7.194 * [taylor]: Taking taylor expansion of 1/2 in y
7.194 * [backup-simplify]: Simplify 1/2 into 1/2
7.194 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
7.194 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
7.194 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.194 * [taylor]: Taking taylor expansion of z in y
7.194 * [backup-simplify]: Simplify z into z
7.194 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.194 * [taylor]: Taking taylor expansion of y in y
7.194 * [backup-simplify]: Simplify 0 into 0
7.194 * [backup-simplify]: Simplify 1 into 1
7.194 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.195 * [backup-simplify]: Simplify (* 1 1) into 1
7.195 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
7.195 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.195 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.195 * [taylor]: Taking taylor expansion of 1/4 in y
7.195 * [backup-simplify]: Simplify 1/4 into 1/4
7.195 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.195 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.195 * [taylor]: Taking taylor expansion of y in y
7.195 * [backup-simplify]: Simplify 0 into 0
7.195 * [backup-simplify]: Simplify 1 into 1
7.196 * [backup-simplify]: Simplify (* 1 1) into 1
7.196 * [backup-simplify]: Simplify (* 1 1) into 1
7.196 * [backup-simplify]: Simplify (/ 1 1) into 1
7.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.197 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.198 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
7.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
7.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.208 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.208 * [backup-simplify]: Simplify (+ 0 0) into 0
7.209 * [backup-simplify]: Simplify (+ 0 0) into 0
7.209 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
7.210 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.210 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
7.210 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
7.211 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.212 * [backup-simplify]: Simplify (+ 0 0) into 0
7.212 * [backup-simplify]: Simplify (+ 0 0) into 0
7.212 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.213 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.213 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.214 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.214 * [taylor]: Taking taylor expansion of 0 in z
7.214 * [backup-simplify]: Simplify 0 into 0
7.214 * [taylor]: Taking taylor expansion of 0 in z
7.214 * [backup-simplify]: Simplify 0 into 0
7.214 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.217 * [backup-simplify]: Simplify (+ 0 0) into 0
7.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
7.218 * [taylor]: Taking taylor expansion of 0 in z
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [taylor]: Taking taylor expansion of 0 in z
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [taylor]: Taking taylor expansion of 0 in z
7.218 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.220 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.220 * [backup-simplify]: Simplify 0 into 0
7.220 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
7.221 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1 1)
7.221 * [backup-simplify]: Simplify (sqrt (+ (+ (* y y) (* z z)) (* x x))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
7.221 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (y z x) around 0
7.221 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
7.221 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
7.221 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.221 * [taylor]: Taking taylor expansion of x in x
7.221 * [backup-simplify]: Simplify 0 into 0
7.221 * [backup-simplify]: Simplify 1 into 1
7.221 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
7.221 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.221 * [taylor]: Taking taylor expansion of y in x
7.221 * [backup-simplify]: Simplify y into y
7.221 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.221 * [taylor]: Taking taylor expansion of z in x
7.221 * [backup-simplify]: Simplify z into z
7.221 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.221 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.222 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.222 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
7.222 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.222 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.222 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.223 * [backup-simplify]: Simplify (+ 0 0) into 0
7.223 * [backup-simplify]: Simplify (+ 0 0) into 0
7.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.223 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
7.224 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
7.224 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.224 * [taylor]: Taking taylor expansion of x in z
7.224 * [backup-simplify]: Simplify x into x
7.224 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
7.224 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.224 * [taylor]: Taking taylor expansion of y in z
7.224 * [backup-simplify]: Simplify y into y
7.224 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.224 * [taylor]: Taking taylor expansion of z in z
7.224 * [backup-simplify]: Simplify 0 into 0
7.224 * [backup-simplify]: Simplify 1 into 1
7.224 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.224 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.224 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.224 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.225 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.225 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.225 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.225 * [backup-simplify]: Simplify (+ 0 0) into 0
7.226 * [backup-simplify]: Simplify (+ 0 0) into 0
7.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.226 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.226 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.226 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.226 * [taylor]: Taking taylor expansion of x in y
7.226 * [backup-simplify]: Simplify x into x
7.226 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.226 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.226 * [taylor]: Taking taylor expansion of y in y
7.226 * [backup-simplify]: Simplify 0 into 0
7.226 * [backup-simplify]: Simplify 1 into 1
7.226 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.226 * [taylor]: Taking taylor expansion of z in y
7.226 * [backup-simplify]: Simplify z into z
7.226 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.226 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.227 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.227 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.227 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.227 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.227 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.228 * [backup-simplify]: Simplify (+ 0 0) into 0
7.228 * [backup-simplify]: Simplify (+ 0 0) into 0
7.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
7.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.229 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.229 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.229 * [taylor]: Taking taylor expansion of x in y
7.229 * [backup-simplify]: Simplify x into x
7.229 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.229 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.229 * [taylor]: Taking taylor expansion of y in y
7.229 * [backup-simplify]: Simplify 0 into 0
7.229 * [backup-simplify]: Simplify 1 into 1
7.229 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.229 * [taylor]: Taking taylor expansion of z in y
7.229 * [backup-simplify]: Simplify z into z
7.229 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.229 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.229 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.229 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.230 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.230 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.230 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.230 * [backup-simplify]: Simplify (+ 0 0) into 0
7.231 * [backup-simplify]: Simplify (+ 0 0) into 0
7.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
7.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in z
7.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.231 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.231 * [taylor]: Taking taylor expansion of x in z
7.231 * [backup-simplify]: Simplify x into x
7.231 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.231 * [taylor]: Taking taylor expansion of z in z
7.231 * [backup-simplify]: Simplify 0 into 0
7.231 * [backup-simplify]: Simplify 1 into 1
7.231 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.231 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.231 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.232 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.232 * [backup-simplify]: Simplify (+ 0 0) into 0
7.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.232 * [taylor]: Taking taylor expansion of x in x
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify 1 into 1
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [taylor]: Taking taylor expansion of 0 in z
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [taylor]: Taking taylor expansion of 0 in x
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [taylor]: Taking taylor expansion of 0 in x
7.232 * [backup-simplify]: Simplify 0 into 0
7.233 * [backup-simplify]: Simplify 0 into 0
7.233 * [backup-simplify]: Simplify 1 into 1
7.233 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.233 * [backup-simplify]: Simplify (* 1 1) into 1
7.234 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.234 * [backup-simplify]: Simplify (+ 1 0) into 1
7.234 * [backup-simplify]: Simplify (+ 0 1) into 1
7.235 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
7.236 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) in z
7.236 * [taylor]: Taking taylor expansion of 1/2 in z
7.236 * [backup-simplify]: Simplify 1/2 into 1/2
7.236 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in z
7.236 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in z
7.236 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.236 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.236 * [taylor]: Taking taylor expansion of x in z
7.236 * [backup-simplify]: Simplify x into x
7.236 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.236 * [taylor]: Taking taylor expansion of z in z
7.236 * [backup-simplify]: Simplify 0 into 0
7.236 * [backup-simplify]: Simplify 1 into 1
7.236 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.236 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.236 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.237 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
7.237 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.237 * [backup-simplify]: Simplify (+ 0 0) into 0
7.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
7.238 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
7.238 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.238 * [taylor]: Taking taylor expansion of 1/2 in x
7.238 * [backup-simplify]: Simplify 1/2 into 1/2
7.238 * [taylor]: Taking taylor expansion of x in x
7.238 * [backup-simplify]: Simplify 0 into 0
7.238 * [backup-simplify]: Simplify 1 into 1
7.238 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.239 * [backup-simplify]: Simplify 0 into 0
7.239 * [taylor]: Taking taylor expansion of 0 in x
7.239 * [backup-simplify]: Simplify 0 into 0
7.239 * [backup-simplify]: Simplify 0 into 0
7.240 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.240 * [backup-simplify]: Simplify (* 1 1) into 1
7.240 * [backup-simplify]: Simplify (+ 0 1) into 1
7.241 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
7.241 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.241 * [taylor]: Taking taylor expansion of 1/2 in x
7.241 * [backup-simplify]: Simplify 1/2 into 1/2
7.241 * [taylor]: Taking taylor expansion of x in x
7.241 * [backup-simplify]: Simplify 0 into 0
7.241 * [backup-simplify]: Simplify 1 into 1
7.242 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.242 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.242 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
7.243 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.244 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (y z x) around 0
7.244 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.244 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.244 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.244 * [taylor]: Taking taylor expansion of x in x
7.244 * [backup-simplify]: Simplify 0 into 0
7.244 * [backup-simplify]: Simplify 1 into 1
7.244 * [backup-simplify]: Simplify (* 1 1) into 1
7.244 * [backup-simplify]: Simplify (/ 1 1) into 1
7.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.245 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.245 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.245 * [taylor]: Taking taylor expansion of z in x
7.245 * [backup-simplify]: Simplify z into z
7.245 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.245 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.245 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.245 * [taylor]: Taking taylor expansion of y in x
7.245 * [backup-simplify]: Simplify y into y
7.245 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.245 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.246 * [backup-simplify]: Simplify (+ 1 0) into 1
7.246 * [backup-simplify]: Simplify (sqrt 1) into 1
7.246 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.248 * [backup-simplify]: Simplify (+ 0 0) into 0
7.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.249 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.249 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.249 * [taylor]: Taking taylor expansion of x in z
7.249 * [backup-simplify]: Simplify x into x
7.249 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.249 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.249 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.249 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.249 * [taylor]: Taking taylor expansion of z in z
7.250 * [backup-simplify]: Simplify 0 into 0
7.250 * [backup-simplify]: Simplify 1 into 1
7.250 * [backup-simplify]: Simplify (* 1 1) into 1
7.251 * [backup-simplify]: Simplify (/ 1 1) into 1
7.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.251 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.251 * [taylor]: Taking taylor expansion of y in z
7.251 * [backup-simplify]: Simplify y into y
7.251 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.252 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.252 * [backup-simplify]: Simplify (+ 1 0) into 1
7.253 * [backup-simplify]: Simplify (+ 0 1) into 1
7.253 * [backup-simplify]: Simplify (sqrt 1) into 1
7.254 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.255 * [backup-simplify]: Simplify (+ 0 0) into 0
7.255 * [backup-simplify]: Simplify (+ 0 0) into 0
7.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.256 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.256 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.256 * [taylor]: Taking taylor expansion of x in y
7.256 * [backup-simplify]: Simplify x into x
7.256 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.256 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.257 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.257 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.257 * [taylor]: Taking taylor expansion of z in y
7.257 * [backup-simplify]: Simplify z into z
7.257 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.257 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.257 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.257 * [taylor]: Taking taylor expansion of y in y
7.257 * [backup-simplify]: Simplify 0 into 0
7.257 * [backup-simplify]: Simplify 1 into 1
7.257 * [backup-simplify]: Simplify (* 1 1) into 1
7.258 * [backup-simplify]: Simplify (/ 1 1) into 1
7.258 * [backup-simplify]: Simplify (+ 0 1) into 1
7.258 * [backup-simplify]: Simplify (+ 0 1) into 1
7.259 * [backup-simplify]: Simplify (sqrt 1) into 1
7.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.260 * [backup-simplify]: Simplify (+ 0 0) into 0
7.261 * [backup-simplify]: Simplify (+ 0 0) into 0
7.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.261 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.262 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.262 * [taylor]: Taking taylor expansion of x in y
7.262 * [backup-simplify]: Simplify x into x
7.262 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.262 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.262 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.262 * [taylor]: Taking taylor expansion of z in y
7.262 * [backup-simplify]: Simplify z into z
7.262 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.262 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.262 * [taylor]: Taking taylor expansion of y in y
7.262 * [backup-simplify]: Simplify 0 into 0
7.262 * [backup-simplify]: Simplify 1 into 1
7.263 * [backup-simplify]: Simplify (* 1 1) into 1
7.263 * [backup-simplify]: Simplify (/ 1 1) into 1
7.263 * [backup-simplify]: Simplify (+ 0 1) into 1
7.264 * [backup-simplify]: Simplify (+ 0 1) into 1
7.264 * [backup-simplify]: Simplify (sqrt 1) into 1
7.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.266 * [backup-simplify]: Simplify (+ 0 0) into 0
7.266 * [backup-simplify]: Simplify (+ 0 0) into 0
7.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.267 * [taylor]: Taking taylor expansion of 1 in z
7.267 * [backup-simplify]: Simplify 1 into 1
7.267 * [taylor]: Taking taylor expansion of 0 in z
7.267 * [backup-simplify]: Simplify 0 into 0
7.267 * [taylor]: Taking taylor expansion of 1 in x
7.267 * [backup-simplify]: Simplify 1 into 1
7.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.268 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
7.269 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.270 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
7.270 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.270 * [taylor]: Taking taylor expansion of 1/2 in z
7.270 * [backup-simplify]: Simplify 1/2 into 1/2
7.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.270 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.270 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.270 * [taylor]: Taking taylor expansion of x in z
7.270 * [backup-simplify]: Simplify x into x
7.270 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.270 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.270 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.270 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.271 * [taylor]: Taking taylor expansion of z in z
7.271 * [backup-simplify]: Simplify 0 into 0
7.271 * [backup-simplify]: Simplify 1 into 1
7.271 * [backup-simplify]: Simplify (* 1 1) into 1
7.271 * [backup-simplify]: Simplify (/ 1 1) into 1
7.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.273 * [backup-simplify]: Simplify (+ 0 0) into 0
7.273 * [backup-simplify]: Simplify (+ 0 1) into 1
7.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.274 * [taylor]: Taking taylor expansion of 0 in x
7.274 * [backup-simplify]: Simplify 0 into 0
7.274 * [taylor]: Taking taylor expansion of 0 in x
7.274 * [backup-simplify]: Simplify 0 into 0
7.274 * [taylor]: Taking taylor expansion of 0 in x
7.274 * [backup-simplify]: Simplify 0 into 0
7.274 * [backup-simplify]: Simplify 1 into 1
7.274 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.274 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.277 * [backup-simplify]: Simplify (+ 0 0) into 0
7.277 * [backup-simplify]: Simplify (+ 0 0) into 0
7.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.278 * [taylor]: Taking taylor expansion of 0 in z
7.278 * [backup-simplify]: Simplify 0 into 0
7.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.279 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.280 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.280 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.280 * [taylor]: Taking taylor expansion of 1/2 in x
7.280 * [backup-simplify]: Simplify 1/2 into 1/2
7.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.280 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.280 * [taylor]: Taking taylor expansion of x in x
7.280 * [backup-simplify]: Simplify 0 into 0
7.280 * [backup-simplify]: Simplify 1 into 1
7.281 * [backup-simplify]: Simplify (* 1 1) into 1
7.281 * [backup-simplify]: Simplify (/ 1 1) into 1
7.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.283 * [backup-simplify]: Simplify 0 into 0
7.283 * [taylor]: Taking taylor expansion of 0 in x
7.283 * [backup-simplify]: Simplify 0 into 0
7.283 * [taylor]: Taking taylor expansion of 0 in x
7.283 * [backup-simplify]: Simplify 0 into 0
7.283 * [backup-simplify]: Simplify 0 into 0
7.283 * [backup-simplify]: Simplify 0 into 0
7.283 * [backup-simplify]: Simplify 0 into 0
7.283 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.284 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.287 * [backup-simplify]: Simplify (+ 0 0) into 0
7.288 * [backup-simplify]: Simplify (+ 0 0) into 0
7.289 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))))))
7.289 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2))))))) in z
7.289 * [taylor]: Taking taylor expansion of -1/2 in z
7.289 * [backup-simplify]: Simplify -1/2 into -1/2
7.289 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))))) in z
7.289 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
7.289 * [taylor]: Taking taylor expansion of 1/4 in z
7.289 * [backup-simplify]: Simplify 1/4 into 1/4
7.289 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
7.289 * [taylor]: Taking taylor expansion of (pow z 4) in z
7.289 * [taylor]: Taking taylor expansion of z in z
7.289 * [backup-simplify]: Simplify 0 into 0
7.289 * [backup-simplify]: Simplify 1 into 1
7.290 * [backup-simplify]: Simplify (* 1 1) into 1
7.290 * [backup-simplify]: Simplify (* 1 1) into 1
7.290 * [backup-simplify]: Simplify (/ 1 1) into 1
7.291 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2))))) in z
7.291 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
7.291 * [taylor]: Taking taylor expansion of 1/4 in z
7.291 * [backup-simplify]: Simplify 1/4 into 1/4
7.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
7.291 * [taylor]: Taking taylor expansion of (pow x 4) in z
7.291 * [taylor]: Taking taylor expansion of x in z
7.291 * [backup-simplify]: Simplify x into x
7.291 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.291 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.291 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
7.291 * [taylor]: Taking taylor expansion of 1/2 in z
7.291 * [backup-simplify]: Simplify 1/2 into 1/2
7.291 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
7.291 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
7.291 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.291 * [taylor]: Taking taylor expansion of x in z
7.291 * [backup-simplify]: Simplify x into x
7.291 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.291 * [taylor]: Taking taylor expansion of z in z
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify 1 into 1
7.292 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.292 * [backup-simplify]: Simplify (* 1 1) into 1
7.292 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.292 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.302 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.303 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.304 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.305 * [backup-simplify]: Simplify (+ 0 0) into 0
7.305 * [backup-simplify]: Simplify (+ 0 0) into 0
7.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.306 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.306 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow x 2))) into (* 1/2 (/ 1 (pow x 2)))
7.306 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow x 2)))) into (* 1/2 (/ 1 (pow x 2)))
7.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.307 * [backup-simplify]: Simplify (+ 0 0) into 0
7.308 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.308 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.309 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.309 * [taylor]: Taking taylor expansion of 0 in x
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [taylor]: Taking taylor expansion of 0 in x
7.309 * [backup-simplify]: Simplify 0 into 0
7.309 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.312 * [backup-simplify]: Simplify (+ 0 0) into 0
7.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.313 * [taylor]: Taking taylor expansion of 0 in x
7.313 * [backup-simplify]: Simplify 0 into 0
7.313 * [taylor]: Taking taylor expansion of 0 in x
7.313 * [backup-simplify]: Simplify 0 into 0
7.313 * [taylor]: Taking taylor expansion of 0 in x
7.313 * [backup-simplify]: Simplify 0 into 0
7.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.315 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.315 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 y))))) into y
7.316 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.316 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (y z x) around 0
7.316 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.316 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.316 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.316 * [taylor]: Taking taylor expansion of x in x
7.316 * [backup-simplify]: Simplify 0 into 0
7.316 * [backup-simplify]: Simplify 1 into 1
7.317 * [backup-simplify]: Simplify (* 1 1) into 1
7.317 * [backup-simplify]: Simplify (/ 1 1) into 1
7.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.317 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.317 * [taylor]: Taking taylor expansion of z in x
7.317 * [backup-simplify]: Simplify z into z
7.317 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.317 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.317 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.317 * [taylor]: Taking taylor expansion of y in x
7.317 * [backup-simplify]: Simplify y into y
7.317 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.318 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.318 * [backup-simplify]: Simplify (+ 1 0) into 1
7.318 * [backup-simplify]: Simplify (sqrt 1) into 1
7.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.320 * [backup-simplify]: Simplify (+ 0 0) into 0
7.320 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.320 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.320 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.320 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.320 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.320 * [taylor]: Taking taylor expansion of x in z
7.320 * [backup-simplify]: Simplify x into x
7.321 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.321 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.321 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.321 * [taylor]: Taking taylor expansion of z in z
7.321 * [backup-simplify]: Simplify 0 into 0
7.321 * [backup-simplify]: Simplify 1 into 1
7.321 * [backup-simplify]: Simplify (* 1 1) into 1
7.322 * [backup-simplify]: Simplify (/ 1 1) into 1
7.322 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.322 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.322 * [taylor]: Taking taylor expansion of y in z
7.322 * [backup-simplify]: Simplify y into y
7.322 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.322 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.322 * [backup-simplify]: Simplify (+ 1 0) into 1
7.323 * [backup-simplify]: Simplify (+ 0 1) into 1
7.323 * [backup-simplify]: Simplify (sqrt 1) into 1
7.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.324 * [backup-simplify]: Simplify (+ 0 0) into 0
7.325 * [backup-simplify]: Simplify (+ 0 0) into 0
7.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.325 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.325 * [taylor]: Taking taylor expansion of x in y
7.325 * [backup-simplify]: Simplify x into x
7.326 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.326 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.326 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.326 * [taylor]: Taking taylor expansion of z in y
7.326 * [backup-simplify]: Simplify z into z
7.326 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.326 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.326 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.326 * [taylor]: Taking taylor expansion of y in y
7.326 * [backup-simplify]: Simplify 0 into 0
7.326 * [backup-simplify]: Simplify 1 into 1
7.326 * [backup-simplify]: Simplify (* 1 1) into 1
7.327 * [backup-simplify]: Simplify (/ 1 1) into 1
7.327 * [backup-simplify]: Simplify (+ 0 1) into 1
7.328 * [backup-simplify]: Simplify (+ 0 1) into 1
7.328 * [backup-simplify]: Simplify (sqrt 1) into 1
7.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.329 * [backup-simplify]: Simplify (+ 0 0) into 0
7.330 * [backup-simplify]: Simplify (+ 0 0) into 0
7.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.330 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.330 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.330 * [taylor]: Taking taylor expansion of x in y
7.330 * [backup-simplify]: Simplify x into x
7.331 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.331 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.331 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.331 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.331 * [taylor]: Taking taylor expansion of z in y
7.331 * [backup-simplify]: Simplify z into z
7.331 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.331 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.331 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.331 * [taylor]: Taking taylor expansion of y in y
7.331 * [backup-simplify]: Simplify 0 into 0
7.331 * [backup-simplify]: Simplify 1 into 1
7.331 * [backup-simplify]: Simplify (* 1 1) into 1
7.332 * [backup-simplify]: Simplify (/ 1 1) into 1
7.332 * [backup-simplify]: Simplify (+ 0 1) into 1
7.333 * [backup-simplify]: Simplify (+ 0 1) into 1
7.333 * [backup-simplify]: Simplify (sqrt 1) into 1
7.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.334 * [backup-simplify]: Simplify (+ 0 0) into 0
7.335 * [backup-simplify]: Simplify (+ 0 0) into 0
7.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.335 * [taylor]: Taking taylor expansion of 1 in z
7.335 * [backup-simplify]: Simplify 1 into 1
7.335 * [taylor]: Taking taylor expansion of 0 in z
7.335 * [backup-simplify]: Simplify 0 into 0
7.336 * [taylor]: Taking taylor expansion of 1 in x
7.336 * [backup-simplify]: Simplify 1 into 1
7.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.338 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
7.338 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.339 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
7.339 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.339 * [taylor]: Taking taylor expansion of 1/2 in z
7.339 * [backup-simplify]: Simplify 1/2 into 1/2
7.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.339 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.339 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.339 * [taylor]: Taking taylor expansion of x in z
7.339 * [backup-simplify]: Simplify x into x
7.339 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.340 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.340 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.340 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.340 * [taylor]: Taking taylor expansion of z in z
7.340 * [backup-simplify]: Simplify 0 into 0
7.340 * [backup-simplify]: Simplify 1 into 1
7.340 * [backup-simplify]: Simplify (* 1 1) into 1
7.340 * [backup-simplify]: Simplify (/ 1 1) into 1
7.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.342 * [backup-simplify]: Simplify (+ 0 0) into 0
7.342 * [backup-simplify]: Simplify (+ 0 1) into 1
7.343 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.343 * [taylor]: Taking taylor expansion of 0 in x
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [taylor]: Taking taylor expansion of 0 in x
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [taylor]: Taking taylor expansion of 0 in x
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 1 into 1
7.343 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.344 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.346 * [backup-simplify]: Simplify (+ 0 0) into 0
7.346 * [backup-simplify]: Simplify (+ 0 0) into 0
7.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.347 * [taylor]: Taking taylor expansion of 0 in z
7.347 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.349 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.349 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.350 * [taylor]: Taking taylor expansion of 1/2 in x
7.350 * [backup-simplify]: Simplify 1/2 into 1/2
7.350 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.350 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.350 * [taylor]: Taking taylor expansion of x in x
7.350 * [backup-simplify]: Simplify 0 into 0
7.350 * [backup-simplify]: Simplify 1 into 1
7.350 * [backup-simplify]: Simplify (* 1 1) into 1
7.350 * [backup-simplify]: Simplify (/ 1 1) into 1
7.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.352 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.352 * [backup-simplify]: Simplify 0 into 0
7.352 * [taylor]: Taking taylor expansion of 0 in x
7.352 * [backup-simplify]: Simplify 0 into 0
7.352 * [taylor]: Taking taylor expansion of 0 in x
7.352 * [backup-simplify]: Simplify 0 into 0
7.352 * [backup-simplify]: Simplify 0 into 0
7.352 * [backup-simplify]: Simplify 0 into 0
7.352 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify 0 into 0
7.353 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.354 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.356 * [backup-simplify]: Simplify (+ 0 0) into 0
7.357 * [backup-simplify]: Simplify (+ 0 0) into 0
7.358 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))))))
7.358 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2))))))) in z
7.358 * [taylor]: Taking taylor expansion of -1/2 in z
7.358 * [backup-simplify]: Simplify -1/2 into -1/2
7.358 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))))) in z
7.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
7.358 * [taylor]: Taking taylor expansion of 1/4 in z
7.358 * [backup-simplify]: Simplify 1/4 into 1/4
7.358 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
7.358 * [taylor]: Taking taylor expansion of (pow z 4) in z
7.358 * [taylor]: Taking taylor expansion of z in z
7.358 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify 1 into 1
7.359 * [backup-simplify]: Simplify (* 1 1) into 1
7.359 * [backup-simplify]: Simplify (* 1 1) into 1
7.359 * [backup-simplify]: Simplify (/ 1 1) into 1
7.359 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2))))) in z
7.359 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
7.360 * [taylor]: Taking taylor expansion of 1/4 in z
7.360 * [backup-simplify]: Simplify 1/4 into 1/4
7.360 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
7.360 * [taylor]: Taking taylor expansion of (pow x 4) in z
7.360 * [taylor]: Taking taylor expansion of x in z
7.360 * [backup-simplify]: Simplify x into x
7.360 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.360 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.360 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.360 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
7.360 * [taylor]: Taking taylor expansion of 1/2 in z
7.360 * [backup-simplify]: Simplify 1/2 into 1/2
7.360 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
7.360 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
7.360 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.360 * [taylor]: Taking taylor expansion of x in z
7.360 * [backup-simplify]: Simplify x into x
7.360 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.360 * [taylor]: Taking taylor expansion of z in z
7.360 * [backup-simplify]: Simplify 0 into 0
7.360 * [backup-simplify]: Simplify 1 into 1
7.360 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.361 * [backup-simplify]: Simplify (* 1 1) into 1
7.361 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.361 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.362 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.368 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.369 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.370 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.371 * [backup-simplify]: Simplify (+ 0 0) into 0
7.371 * [backup-simplify]: Simplify (+ 0 0) into 0
7.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.372 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.372 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow x 2))) into (* 1/2 (/ 1 (pow x 2)))
7.372 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow x 2)))) into (* 1/2 (/ 1 (pow x 2)))
7.373 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.373 * [backup-simplify]: Simplify (+ 0 0) into 0
7.374 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.374 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.375 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.375 * [taylor]: Taking taylor expansion of 0 in x
7.375 * [backup-simplify]: Simplify 0 into 0
7.375 * [taylor]: Taking taylor expansion of 0 in x
7.375 * [backup-simplify]: Simplify 0 into 0
7.375 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.378 * [backup-simplify]: Simplify (+ 0 0) into 0
7.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.379 * [taylor]: Taking taylor expansion of 0 in x
7.379 * [backup-simplify]: Simplify 0 into 0
7.379 * [taylor]: Taking taylor expansion of 0 in x
7.379 * [backup-simplify]: Simplify 0 into 0
7.379 * [taylor]: Taking taylor expansion of 0 in x
7.379 * [backup-simplify]: Simplify 0 into 0
7.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.382 * [backup-simplify]: Simplify 0 into 0
7.382 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 y)
7.382 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1)
7.382 * [backup-simplify]: Simplify (sqrt (+ (+ (* y y) (* z z)) (* x x))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
7.383 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (y z x) around 0
7.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
7.383 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
7.383 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.383 * [taylor]: Taking taylor expansion of x in x
7.383 * [backup-simplify]: Simplify 0 into 0
7.383 * [backup-simplify]: Simplify 1 into 1
7.383 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
7.383 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.383 * [taylor]: Taking taylor expansion of y in x
7.383 * [backup-simplify]: Simplify y into y
7.383 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.383 * [taylor]: Taking taylor expansion of z in x
7.383 * [backup-simplify]: Simplify z into z
7.383 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.383 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.383 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.384 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
7.384 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.384 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.384 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.385 * [backup-simplify]: Simplify (+ 0 0) into 0
7.385 * [backup-simplify]: Simplify (+ 0 0) into 0
7.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
7.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
7.385 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.385 * [taylor]: Taking taylor expansion of x in z
7.385 * [backup-simplify]: Simplify x into x
7.385 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
7.385 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.386 * [taylor]: Taking taylor expansion of y in z
7.386 * [backup-simplify]: Simplify y into y
7.386 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.386 * [taylor]: Taking taylor expansion of z in z
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [backup-simplify]: Simplify 1 into 1
7.386 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.386 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.386 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.386 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.386 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.387 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.387 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.387 * [backup-simplify]: Simplify (+ 0 0) into 0
7.387 * [backup-simplify]: Simplify (+ 0 0) into 0
7.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.388 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.388 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.388 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.388 * [taylor]: Taking taylor expansion of x in y
7.388 * [backup-simplify]: Simplify x into x
7.388 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.388 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.388 * [taylor]: Taking taylor expansion of y in y
7.388 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify 1 into 1
7.388 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.388 * [taylor]: Taking taylor expansion of z in y
7.388 * [backup-simplify]: Simplify z into z
7.388 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.388 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.388 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.389 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.389 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.389 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.389 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.389 * [backup-simplify]: Simplify (+ 0 0) into 0
7.390 * [backup-simplify]: Simplify (+ 0 0) into 0
7.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
7.390 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.390 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.390 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.390 * [taylor]: Taking taylor expansion of x in y
7.390 * [backup-simplify]: Simplify x into x
7.390 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.390 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.390 * [taylor]: Taking taylor expansion of y in y
7.390 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify 1 into 1
7.391 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.391 * [taylor]: Taking taylor expansion of z in y
7.391 * [backup-simplify]: Simplify z into z
7.391 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.391 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.391 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.391 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.391 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.391 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.391 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.392 * [backup-simplify]: Simplify (+ 0 0) into 0
7.392 * [backup-simplify]: Simplify (+ 0 0) into 0
7.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
7.392 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow z 2))) in z
7.392 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.393 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.393 * [taylor]: Taking taylor expansion of x in z
7.393 * [backup-simplify]: Simplify x into x
7.393 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.393 * [taylor]: Taking taylor expansion of z in z
7.393 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify 1 into 1
7.393 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.393 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.393 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.393 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.393 * [backup-simplify]: Simplify (+ 0 0) into 0
7.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.394 * [taylor]: Taking taylor expansion of x in x
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify 1 into 1
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [taylor]: Taking taylor expansion of 0 in z
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [taylor]: Taking taylor expansion of 0 in x
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [taylor]: Taking taylor expansion of 0 in x
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify 1 into 1
7.394 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.395 * [backup-simplify]: Simplify (* 1 1) into 1
7.395 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.395 * [backup-simplify]: Simplify (+ 1 0) into 1
7.396 * [backup-simplify]: Simplify (+ 0 1) into 1
7.397 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2)))))
7.397 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow z 2))))) in z
7.397 * [taylor]: Taking taylor expansion of 1/2 in z
7.397 * [backup-simplify]: Simplify 1/2 into 1/2
7.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow z 2)))) in z
7.397 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow z 2))) in z
7.397 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.397 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.397 * [taylor]: Taking taylor expansion of x in z
7.397 * [backup-simplify]: Simplify x into x
7.397 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.397 * [taylor]: Taking taylor expansion of z in z
7.397 * [backup-simplify]: Simplify 0 into 0
7.397 * [backup-simplify]: Simplify 1 into 1
7.397 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.397 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.398 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.398 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
7.398 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.398 * [backup-simplify]: Simplify (+ 0 0) into 0
7.398 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
7.399 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
7.399 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.399 * [taylor]: Taking taylor expansion of 1/2 in x
7.399 * [backup-simplify]: Simplify 1/2 into 1/2
7.399 * [taylor]: Taking taylor expansion of x in x
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify 1 into 1
7.399 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.400 * [backup-simplify]: Simplify 0 into 0
7.400 * [taylor]: Taking taylor expansion of 0 in x
7.400 * [backup-simplify]: Simplify 0 into 0
7.400 * [backup-simplify]: Simplify 0 into 0
7.401 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.401 * [backup-simplify]: Simplify (* 1 1) into 1
7.401 * [backup-simplify]: Simplify (+ 0 1) into 1
7.402 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
7.402 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.402 * [taylor]: Taking taylor expansion of 1/2 in x
7.402 * [backup-simplify]: Simplify 1/2 into 1/2
7.402 * [taylor]: Taking taylor expansion of x in x
7.402 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify 1 into 1
7.402 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.403 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.403 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify 0 into 0
7.403 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
7.404 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.404 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (y z x) around 0
7.404 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.404 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.404 * [taylor]: Taking taylor expansion of x in x
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 1 into 1
7.405 * [backup-simplify]: Simplify (* 1 1) into 1
7.405 * [backup-simplify]: Simplify (/ 1 1) into 1
7.405 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.405 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.405 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.405 * [taylor]: Taking taylor expansion of z in x
7.405 * [backup-simplify]: Simplify z into z
7.405 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.405 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.405 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.405 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.405 * [taylor]: Taking taylor expansion of y in x
7.406 * [backup-simplify]: Simplify y into y
7.406 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.406 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.406 * [backup-simplify]: Simplify (+ 1 0) into 1
7.406 * [backup-simplify]: Simplify (sqrt 1) into 1
7.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.408 * [backup-simplify]: Simplify (+ 0 0) into 0
7.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.409 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.409 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.409 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.409 * [taylor]: Taking taylor expansion of x in z
7.409 * [backup-simplify]: Simplify x into x
7.409 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.409 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.409 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.409 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.409 * [taylor]: Taking taylor expansion of z in z
7.409 * [backup-simplify]: Simplify 0 into 0
7.409 * [backup-simplify]: Simplify 1 into 1
7.409 * [backup-simplify]: Simplify (* 1 1) into 1
7.410 * [backup-simplify]: Simplify (/ 1 1) into 1
7.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.410 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.410 * [taylor]: Taking taylor expansion of y in z
7.410 * [backup-simplify]: Simplify y into y
7.410 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.410 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.411 * [backup-simplify]: Simplify (+ 1 0) into 1
7.411 * [backup-simplify]: Simplify (+ 0 1) into 1
7.411 * [backup-simplify]: Simplify (sqrt 1) into 1
7.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.413 * [backup-simplify]: Simplify (+ 0 0) into 0
7.413 * [backup-simplify]: Simplify (+ 0 0) into 0
7.414 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.414 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.414 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.414 * [taylor]: Taking taylor expansion of x in y
7.414 * [backup-simplify]: Simplify x into x
7.414 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.414 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.414 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.414 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.414 * [taylor]: Taking taylor expansion of z in y
7.414 * [backup-simplify]: Simplify z into z
7.414 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.414 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.414 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.414 * [taylor]: Taking taylor expansion of y in y
7.414 * [backup-simplify]: Simplify 0 into 0
7.414 * [backup-simplify]: Simplify 1 into 1
7.415 * [backup-simplify]: Simplify (* 1 1) into 1
7.415 * [backup-simplify]: Simplify (/ 1 1) into 1
7.415 * [backup-simplify]: Simplify (+ 0 1) into 1
7.416 * [backup-simplify]: Simplify (+ 0 1) into 1
7.416 * [backup-simplify]: Simplify (sqrt 1) into 1
7.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.418 * [backup-simplify]: Simplify (+ 0 0) into 0
7.418 * [backup-simplify]: Simplify (+ 0 0) into 0
7.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.419 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.419 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.419 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.419 * [taylor]: Taking taylor expansion of x in y
7.419 * [backup-simplify]: Simplify x into x
7.419 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.419 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.419 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.419 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.419 * [taylor]: Taking taylor expansion of z in y
7.419 * [backup-simplify]: Simplify z into z
7.419 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.419 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.419 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.419 * [taylor]: Taking taylor expansion of y in y
7.420 * [backup-simplify]: Simplify 0 into 0
7.420 * [backup-simplify]: Simplify 1 into 1
7.420 * [backup-simplify]: Simplify (* 1 1) into 1
7.420 * [backup-simplify]: Simplify (/ 1 1) into 1
7.421 * [backup-simplify]: Simplify (+ 0 1) into 1
7.421 * [backup-simplify]: Simplify (+ 0 1) into 1
7.421 * [backup-simplify]: Simplify (sqrt 1) into 1
7.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.423 * [backup-simplify]: Simplify (+ 0 0) into 0
7.423 * [backup-simplify]: Simplify (+ 0 0) into 0
7.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.424 * [taylor]: Taking taylor expansion of 1 in z
7.424 * [backup-simplify]: Simplify 1 into 1
7.424 * [taylor]: Taking taylor expansion of 0 in z
7.424 * [backup-simplify]: Simplify 0 into 0
7.424 * [taylor]: Taking taylor expansion of 1 in x
7.424 * [backup-simplify]: Simplify 1 into 1
7.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.426 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
7.426 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.427 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
7.427 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.427 * [taylor]: Taking taylor expansion of 1/2 in z
7.427 * [backup-simplify]: Simplify 1/2 into 1/2
7.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.427 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.427 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.427 * [taylor]: Taking taylor expansion of x in z
7.427 * [backup-simplify]: Simplify x into x
7.427 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.428 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.428 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.428 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.428 * [taylor]: Taking taylor expansion of z in z
7.428 * [backup-simplify]: Simplify 0 into 0
7.428 * [backup-simplify]: Simplify 1 into 1
7.428 * [backup-simplify]: Simplify (* 1 1) into 1
7.428 * [backup-simplify]: Simplify (/ 1 1) into 1
7.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.430 * [backup-simplify]: Simplify (+ 0 0) into 0
7.430 * [backup-simplify]: Simplify (+ 0 1) into 1
7.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.431 * [taylor]: Taking taylor expansion of 0 in x
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [taylor]: Taking taylor expansion of 0 in x
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [taylor]: Taking taylor expansion of 0 in x
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [backup-simplify]: Simplify 1 into 1
7.431 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.432 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.437 * [backup-simplify]: Simplify (+ 0 0) into 0
7.437 * [backup-simplify]: Simplify (+ 0 0) into 0
7.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.438 * [taylor]: Taking taylor expansion of 0 in z
7.438 * [backup-simplify]: Simplify 0 into 0
7.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.440 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.440 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.440 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.441 * [taylor]: Taking taylor expansion of 1/2 in x
7.441 * [backup-simplify]: Simplify 1/2 into 1/2
7.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.441 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.441 * [taylor]: Taking taylor expansion of x in x
7.441 * [backup-simplify]: Simplify 0 into 0
7.441 * [backup-simplify]: Simplify 1 into 1
7.441 * [backup-simplify]: Simplify (* 1 1) into 1
7.441 * [backup-simplify]: Simplify (/ 1 1) into 1
7.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.443 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [taylor]: Taking taylor expansion of 0 in x
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [taylor]: Taking taylor expansion of 0 in x
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [backup-simplify]: Simplify 0 into 0
7.444 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.445 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.447 * [backup-simplify]: Simplify (+ 0 0) into 0
7.447 * [backup-simplify]: Simplify (+ 0 0) into 0
7.449 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))))))
7.449 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2))))))) in z
7.449 * [taylor]: Taking taylor expansion of -1/2 in z
7.449 * [backup-simplify]: Simplify -1/2 into -1/2
7.449 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))))) in z
7.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
7.449 * [taylor]: Taking taylor expansion of 1/4 in z
7.450 * [backup-simplify]: Simplify 1/4 into 1/4
7.450 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
7.450 * [taylor]: Taking taylor expansion of (pow z 4) in z
7.450 * [taylor]: Taking taylor expansion of z in z
7.450 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify 1 into 1
7.450 * [backup-simplify]: Simplify (* 1 1) into 1
7.450 * [backup-simplify]: Simplify (* 1 1) into 1
7.451 * [backup-simplify]: Simplify (/ 1 1) into 1
7.451 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2))))) in z
7.451 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
7.451 * [taylor]: Taking taylor expansion of 1/4 in z
7.451 * [backup-simplify]: Simplify 1/4 into 1/4
7.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
7.451 * [taylor]: Taking taylor expansion of (pow x 4) in z
7.451 * [taylor]: Taking taylor expansion of x in z
7.451 * [backup-simplify]: Simplify x into x
7.451 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.451 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.451 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.451 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
7.451 * [taylor]: Taking taylor expansion of 1/2 in z
7.451 * [backup-simplify]: Simplify 1/2 into 1/2
7.451 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
7.451 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
7.451 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.451 * [taylor]: Taking taylor expansion of x in z
7.451 * [backup-simplify]: Simplify x into x
7.451 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.451 * [taylor]: Taking taylor expansion of z in z
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify 1 into 1
7.452 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.452 * [backup-simplify]: Simplify (* 1 1) into 1
7.452 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.452 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.459 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.460 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.461 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.462 * [backup-simplify]: Simplify (+ 0 0) into 0
7.462 * [backup-simplify]: Simplify (+ 0 0) into 0
7.463 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.463 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.463 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow x 2))) into (* 1/2 (/ 1 (pow x 2)))
7.463 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow x 2)))) into (* 1/2 (/ 1 (pow x 2)))
7.464 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.464 * [backup-simplify]: Simplify (+ 0 0) into 0
7.465 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.465 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.466 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.466 * [taylor]: Taking taylor expansion of 0 in x
7.466 * [backup-simplify]: Simplify 0 into 0
7.466 * [taylor]: Taking taylor expansion of 0 in x
7.466 * [backup-simplify]: Simplify 0 into 0
7.466 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.469 * [backup-simplify]: Simplify (+ 0 0) into 0
7.470 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.470 * [taylor]: Taking taylor expansion of 0 in x
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [taylor]: Taking taylor expansion of 0 in x
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [taylor]: Taking taylor expansion of 0 in x
7.470 * [backup-simplify]: Simplify 0 into 0
7.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.472 * [backup-simplify]: Simplify 0 into 0
7.473 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 y))))) into y
7.473 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.473 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (y z x) around 0
7.473 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.473 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.473 * [taylor]: Taking taylor expansion of x in x
7.473 * [backup-simplify]: Simplify 0 into 0
7.473 * [backup-simplify]: Simplify 1 into 1
7.474 * [backup-simplify]: Simplify (* 1 1) into 1
7.474 * [backup-simplify]: Simplify (/ 1 1) into 1
7.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.474 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.474 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.474 * [taylor]: Taking taylor expansion of z in x
7.474 * [backup-simplify]: Simplify z into z
7.474 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.475 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.475 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.475 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.475 * [taylor]: Taking taylor expansion of y in x
7.475 * [backup-simplify]: Simplify y into y
7.475 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.475 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.475 * [backup-simplify]: Simplify (+ 1 0) into 1
7.476 * [backup-simplify]: Simplify (sqrt 1) into 1
7.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.477 * [backup-simplify]: Simplify (+ 0 0) into 0
7.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.478 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.479 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.479 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.479 * [taylor]: Taking taylor expansion of x in z
7.479 * [backup-simplify]: Simplify x into x
7.479 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.479 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.479 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.479 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.479 * [taylor]: Taking taylor expansion of z in z
7.479 * [backup-simplify]: Simplify 0 into 0
7.479 * [backup-simplify]: Simplify 1 into 1
7.480 * [backup-simplify]: Simplify (* 1 1) into 1
7.481 * [backup-simplify]: Simplify (/ 1 1) into 1
7.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.481 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.481 * [taylor]: Taking taylor expansion of y in z
7.481 * [backup-simplify]: Simplify y into y
7.481 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.482 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.483 * [backup-simplify]: Simplify (+ 1 0) into 1
7.483 * [backup-simplify]: Simplify (+ 0 1) into 1
7.484 * [backup-simplify]: Simplify (sqrt 1) into 1
7.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.486 * [backup-simplify]: Simplify (+ 0 0) into 0
7.486 * [backup-simplify]: Simplify (+ 0 0) into 0
7.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.487 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.487 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.487 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.487 * [taylor]: Taking taylor expansion of x in y
7.487 * [backup-simplify]: Simplify x into x
7.487 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.487 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.487 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.487 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.487 * [taylor]: Taking taylor expansion of z in y
7.487 * [backup-simplify]: Simplify z into z
7.488 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.488 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.488 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.488 * [taylor]: Taking taylor expansion of y in y
7.488 * [backup-simplify]: Simplify 0 into 0
7.488 * [backup-simplify]: Simplify 1 into 1
7.488 * [backup-simplify]: Simplify (* 1 1) into 1
7.489 * [backup-simplify]: Simplify (/ 1 1) into 1
7.489 * [backup-simplify]: Simplify (+ 0 1) into 1
7.490 * [backup-simplify]: Simplify (+ 0 1) into 1
7.490 * [backup-simplify]: Simplify (sqrt 1) into 1
7.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.492 * [backup-simplify]: Simplify (+ 0 0) into 0
7.492 * [backup-simplify]: Simplify (+ 0 0) into 0
7.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.493 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.493 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.493 * [taylor]: Taking taylor expansion of x in y
7.493 * [backup-simplify]: Simplify x into x
7.493 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.493 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.493 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.493 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.493 * [taylor]: Taking taylor expansion of z in y
7.493 * [backup-simplify]: Simplify z into z
7.493 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.494 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.494 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.494 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.494 * [taylor]: Taking taylor expansion of y in y
7.494 * [backup-simplify]: Simplify 0 into 0
7.494 * [backup-simplify]: Simplify 1 into 1
7.494 * [backup-simplify]: Simplify (* 1 1) into 1
7.494 * [backup-simplify]: Simplify (/ 1 1) into 1
7.495 * [backup-simplify]: Simplify (+ 0 1) into 1
7.495 * [backup-simplify]: Simplify (+ 0 1) into 1
7.496 * [backup-simplify]: Simplify (sqrt 1) into 1
7.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.497 * [backup-simplify]: Simplify (+ 0 0) into 0
7.498 * [backup-simplify]: Simplify (+ 0 0) into 0
7.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.499 * [taylor]: Taking taylor expansion of 1 in z
7.499 * [backup-simplify]: Simplify 1 into 1
7.499 * [taylor]: Taking taylor expansion of 0 in z
7.499 * [backup-simplify]: Simplify 0 into 0
7.499 * [taylor]: Taking taylor expansion of 1 in x
7.499 * [backup-simplify]: Simplify 1 into 1
7.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.501 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
7.501 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.503 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))
7.503 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
7.503 * [taylor]: Taking taylor expansion of 1/2 in z
7.503 * [backup-simplify]: Simplify 1/2 into 1/2
7.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
7.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.503 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.503 * [taylor]: Taking taylor expansion of x in z
7.503 * [backup-simplify]: Simplify x into x
7.503 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.503 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.503 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.503 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.503 * [taylor]: Taking taylor expansion of z in z
7.503 * [backup-simplify]: Simplify 0 into 0
7.504 * [backup-simplify]: Simplify 1 into 1
7.504 * [backup-simplify]: Simplify (* 1 1) into 1
7.504 * [backup-simplify]: Simplify (/ 1 1) into 1
7.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.506 * [backup-simplify]: Simplify (+ 0 0) into 0
7.506 * [backup-simplify]: Simplify (+ 0 1) into 1
7.507 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.507 * [taylor]: Taking taylor expansion of 0 in x
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [taylor]: Taking taylor expansion of 0 in x
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [taylor]: Taking taylor expansion of 0 in x
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify 1 into 1
7.507 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.508 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
7.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify (+ 0 0) into 0
7.511 * [backup-simplify]: Simplify (+ 0 0) into 0
7.512 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
7.512 * [taylor]: Taking taylor expansion of 0 in z
7.512 * [backup-simplify]: Simplify 0 into 0
7.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.514 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.515 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.515 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.515 * [taylor]: Taking taylor expansion of 1/2 in x
7.515 * [backup-simplify]: Simplify 1/2 into 1/2
7.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.515 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.515 * [taylor]: Taking taylor expansion of x in x
7.515 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify 1 into 1
7.515 * [backup-simplify]: Simplify (* 1 1) into 1
7.516 * [backup-simplify]: Simplify (/ 1 1) into 1
7.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.518 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.518 * [backup-simplify]: Simplify 0 into 0
7.518 * [taylor]: Taking taylor expansion of 0 in x
7.518 * [backup-simplify]: Simplify 0 into 0
7.518 * [taylor]: Taking taylor expansion of 0 in x
7.518 * [backup-simplify]: Simplify 0 into 0
7.518 * [backup-simplify]: Simplify 0 into 0
7.518 * [backup-simplify]: Simplify 0 into 0
7.518 * [backup-simplify]: Simplify 0 into 0
7.518 * [backup-simplify]: Simplify 0 into 0
7.518 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.519 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
7.521 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.522 * [backup-simplify]: Simplify (+ 0 0) into 0
7.523 * [backup-simplify]: Simplify (+ 0 0) into 0
7.524 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))))))
7.524 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2))))))) in z
7.524 * [taylor]: Taking taylor expansion of -1/2 in z
7.524 * [backup-simplify]: Simplify -1/2 into -1/2
7.525 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))))) in z
7.525 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in z
7.525 * [taylor]: Taking taylor expansion of 1/4 in z
7.525 * [backup-simplify]: Simplify 1/4 into 1/4
7.525 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in z
7.525 * [taylor]: Taking taylor expansion of (pow z 4) in z
7.525 * [taylor]: Taking taylor expansion of z in z
7.525 * [backup-simplify]: Simplify 0 into 0
7.525 * [backup-simplify]: Simplify 1 into 1
7.525 * [backup-simplify]: Simplify (* 1 1) into 1
7.525 * [backup-simplify]: Simplify (* 1 1) into 1
7.526 * [backup-simplify]: Simplify (/ 1 1) into 1
7.526 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/2 (/ 1 (* (pow x 2) (pow z 2))))) in z
7.526 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in z
7.526 * [taylor]: Taking taylor expansion of 1/4 in z
7.526 * [backup-simplify]: Simplify 1/4 into 1/4
7.526 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in z
7.526 * [taylor]: Taking taylor expansion of (pow x 4) in z
7.526 * [taylor]: Taking taylor expansion of x in z
7.526 * [backup-simplify]: Simplify x into x
7.526 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.526 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.527 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.527 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow z 2)))) in z
7.527 * [taylor]: Taking taylor expansion of 1/2 in z
7.527 * [backup-simplify]: Simplify 1/2 into 1/2
7.527 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow z 2))) in z
7.527 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow z 2)) in z
7.527 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.527 * [taylor]: Taking taylor expansion of x in z
7.527 * [backup-simplify]: Simplify x into x
7.527 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.527 * [taylor]: Taking taylor expansion of z in z
7.527 * [backup-simplify]: Simplify 0 into 0
7.527 * [backup-simplify]: Simplify 1 into 1
7.527 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.527 * [backup-simplify]: Simplify (* 1 1) into 1
7.527 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.528 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.529 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.536 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.537 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.537 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.538 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.538 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.539 * [backup-simplify]: Simplify (+ 0 0) into 0
7.539 * [backup-simplify]: Simplify (+ 0 0) into 0
7.540 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.540 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.540 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow x 2))) into (* 1/2 (/ 1 (pow x 2)))
7.541 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow x 2)))) into (* 1/2 (/ 1 (pow x 2)))
7.541 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.542 * [backup-simplify]: Simplify (+ 0 0) into 0
7.542 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.542 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
7.543 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.544 * [taylor]: Taking taylor expansion of 0 in x
7.544 * [backup-simplify]: Simplify 0 into 0
7.544 * [taylor]: Taking taylor expansion of 0 in x
7.544 * [backup-simplify]: Simplify 0 into 0
7.544 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.546 * [backup-simplify]: Simplify (+ 0 0) into 0
7.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.547 * [taylor]: Taking taylor expansion of 0 in x
7.549 * [backup-simplify]: Simplify 0 into 0
7.549 * [taylor]: Taking taylor expansion of 0 in x
7.549 * [backup-simplify]: Simplify 0 into 0
7.549 * [taylor]: Taking taylor expansion of 0 in x
7.549 * [backup-simplify]: Simplify 0 into 0
7.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.551 * [backup-simplify]: Simplify 0 into 0
7.552 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- y)))))) into (* -1 y)
7.552 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
7.553 * [backup-simplify]: Simplify (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)) into (pow (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) 4)
7.553 * [approximate]: Taking taylor expansion of (pow (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) 4) in (y z x) around 0
7.553 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) 4) in x
7.553 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) in x
7.553 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
7.553 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
7.553 * [taylor]: Taking taylor expansion of 1/12 in x
7.553 * [backup-simplify]: Simplify 1/12 into 1/12
7.553 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
7.553 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
7.553 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.553 * [taylor]: Taking taylor expansion of x in x
7.553 * [backup-simplify]: Simplify 0 into 0
7.553 * [backup-simplify]: Simplify 1 into 1
7.553 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
7.553 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.553 * [taylor]: Taking taylor expansion of y in x
7.553 * [backup-simplify]: Simplify y into y
7.553 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.553 * [taylor]: Taking taylor expansion of z in x
7.553 * [backup-simplify]: Simplify z into z
7.553 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.553 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.554 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.554 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
7.554 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
7.554 * [backup-simplify]: Simplify (* 1/12 (log (+ (pow y 2) (pow z 2)))) into (* 1/12 (log (+ (pow y 2) (pow z 2))))
7.555 * [backup-simplify]: Simplify (exp (* 1/12 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/12)
7.555 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) 4) in z
7.555 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) in z
7.555 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z
7.555 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z
7.555 * [taylor]: Taking taylor expansion of 1/12 in z
7.555 * [backup-simplify]: Simplify 1/12 into 1/12
7.555 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
7.555 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
7.555 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.555 * [taylor]: Taking taylor expansion of x in z
7.555 * [backup-simplify]: Simplify x into x
7.555 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
7.555 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.555 * [taylor]: Taking taylor expansion of y in z
7.555 * [backup-simplify]: Simplify y into y
7.555 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.555 * [taylor]: Taking taylor expansion of z in z
7.555 * [backup-simplify]: Simplify 0 into 0
7.555 * [backup-simplify]: Simplify 1 into 1
7.555 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.555 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.555 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.556 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.556 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
7.556 * [backup-simplify]: Simplify (* 1/12 (log (+ (pow x 2) (pow y 2)))) into (* 1/12 (log (+ (pow x 2) (pow y 2))))
7.556 * [backup-simplify]: Simplify (exp (* 1/12 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/12)
7.556 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) 4) in y
7.556 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) in y
7.556 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in y
7.557 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in y
7.557 * [taylor]: Taking taylor expansion of 1/12 in y
7.557 * [backup-simplify]: Simplify 1/12 into 1/12
7.557 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.557 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.557 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.557 * [taylor]: Taking taylor expansion of x in y
7.557 * [backup-simplify]: Simplify x into x
7.557 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.557 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.557 * [taylor]: Taking taylor expansion of y in y
7.557 * [backup-simplify]: Simplify 0 into 0
7.557 * [backup-simplify]: Simplify 1 into 1
7.557 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.557 * [taylor]: Taking taylor expansion of z in y
7.557 * [backup-simplify]: Simplify z into z
7.557 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.557 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.557 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.557 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.558 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2)))
7.558 * [backup-simplify]: Simplify (* 1/12 (log (+ (pow x 2) (pow z 2)))) into (* 1/12 (log (+ (pow x 2) (pow z 2))))
7.558 * [backup-simplify]: Simplify (exp (* 1/12 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/12)
7.558 * [taylor]: Taking taylor expansion of (pow (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) 4) in y
7.558 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/12) in y
7.558 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in y
7.558 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in y
7.558 * [taylor]: Taking taylor expansion of 1/12 in y
7.558 * [backup-simplify]: Simplify 1/12 into 1/12
7.558 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.558 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.558 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.558 * [taylor]: Taking taylor expansion of x in y
7.558 * [backup-simplify]: Simplify x into x
7.558 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.558 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.559 * [taylor]: Taking taylor expansion of y in y
7.559 * [backup-simplify]: Simplify 0 into 0
7.559 * [backup-simplify]: Simplify 1 into 1
7.559 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.559 * [taylor]: Taking taylor expansion of z in y
7.559 * [backup-simplify]: Simplify z into z
7.559 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.559 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.559 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.559 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.559 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2)))
7.560 * [backup-simplify]: Simplify (* 1/12 (log (+ (pow x 2) (pow z 2)))) into (* 1/12 (log (+ (pow x 2) (pow z 2))))
7.560 * [backup-simplify]: Simplify (exp (* 1/12 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/12)
7.560 * [backup-simplify]: Simplify (* (pow (+ (pow x 2) (pow z 2)) 1/12) (pow (+ (pow x 2) (pow z 2)) 1/12)) into (pow (+ (pow x 2) (pow z 2)) 1/6)
7.561 * [backup-simplify]: Simplify (* (pow (+ (pow x 2) (pow z 2)) 1/6) (pow (+ (pow x 2) (pow z 2)) 1/6)) into (pow (+ (pow x 2) (pow z 2)) 1/3)
7.561 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow z 2)) 1/3) in z
7.561 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow z 2))))) in z
7.561 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow z 2)))) in z
7.561 * [taylor]: Taking taylor expansion of 1/3 in z
7.561 * [backup-simplify]: Simplify 1/3 into 1/3
7.561 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow z 2))) in z
7.561 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.561 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.561 * [taylor]: Taking taylor expansion of x in z
7.561 * [backup-simplify]: Simplify x into x
7.561 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.561 * [taylor]: Taking taylor expansion of z in z
7.561 * [backup-simplify]: Simplify 0 into 0
7.561 * [backup-simplify]: Simplify 1 into 1
7.561 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.562 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.562 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
7.562 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2)))
7.562 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3)
7.562 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/3) in x
7.562 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow x 2)))) in x
7.562 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow x 2))) in x
7.562 * [taylor]: Taking taylor expansion of 1/3 in x
7.562 * [backup-simplify]: Simplify 1/3 into 1/3
7.562 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x
7.562 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.562 * [taylor]: Taking taylor expansion of x in x
7.562 * [backup-simplify]: Simplify 0 into 0
7.562 * [backup-simplify]: Simplify 1 into 1
7.563 * [backup-simplify]: Simplify (* 1 1) into 1
7.563 * [backup-simplify]: Simplify (log 1) into 0
7.563 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x))
7.564 * [backup-simplify]: Simplify (* 1/3 (* 2 (log x))) into (* 2/3 (log x))
7.564 * [backup-simplify]: Simplify (exp (* 2/3 (log x))) into (pow x 2/3)
7.564 * [backup-simplify]: Simplify (pow x 2/3) into (pow x 2/3)
7.564 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.564 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.564 * [backup-simplify]: Simplify (+ 0 0) into 0
7.565 * [backup-simplify]: Simplify (+ 0 0) into 0
7.566 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow x 2) (pow z 2)) 1)))) 1) into 0
7.566 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (log (+ (pow x 2) (pow z 2))))) into 0
7.567 * [backup-simplify]: Simplify (* (exp (* 1/12 (log (+ (pow x 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.568 * [backup-simplify]: Simplify (+ (* (pow (+ (pow x 2) (pow z 2)) 1/12) 0) (* 0 (pow (+ (pow x 2) (pow z 2)) 1/12))) into 0
7.568 * [backup-simplify]: Simplify (+ (* (pow (+ (pow x 2) (pow z 2)) 1/6) 0) (* 0 (pow (+ (pow x 2) (pow z 2)) 1/6))) into 0
7.568 * [taylor]: Taking taylor expansion of 0 in z
7.568 * [backup-simplify]: Simplify 0 into 0
7.568 * [taylor]: Taking taylor expansion of 0 in x
7.568 * [backup-simplify]: Simplify 0 into 0
7.569 * [backup-simplify]: Simplify 0 into 0
7.569 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.569 * [backup-simplify]: Simplify (+ 0 0) into 0
7.570 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0
7.570 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow x 2)))) into 0
7.571 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
7.571 * [taylor]: Taking taylor expansion of 0 in x
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 0 into 0
7.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.573 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x))
7.574 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log x)))) into 0
7.574 * [backup-simplify]: Simplify (* (exp (* 2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
7.574 * [backup-simplify]: Simplify 0 into 0
7.575 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.575 * [backup-simplify]: Simplify (* 1 1) into 1
7.576 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
7.576 * [backup-simplify]: Simplify (+ 1 0) into 1
7.576 * [backup-simplify]: Simplify (+ 0 1) into 1
7.578 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow x 2) (pow z 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow x 2) (pow z 2)) 1)))) 2) into (/ 1 (+ (pow x 2) (pow z 2)))
7.579 * [backup-simplify]: Simplify (+ (* 1/12 (/ 1 (+ (pow x 2) (pow z 2)))) (+ (* 0 0) (* 0 (log (+ (pow x 2) (pow z 2)))))) into (* 1/12 (/ 1 (+ (pow x 2) (pow z 2))))
7.580 * [backup-simplify]: Simplify (* (exp (* 1/12 (log (+ (pow x 2) (pow z 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/12 (/ 1 (+ (pow x 2) (pow z 2)))) 1) 1)))) into (* 1/12 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 11)) 1/12))
7.585 * [backup-simplify]: Simplify (+ (* (pow (+ (pow x 2) (pow z 2)) 1/12) (* 1/12 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 11)) 1/12))) (+ (* 0 0) (* (* 1/12 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 11)) 1/12)) (pow (+ (pow x 2) (pow z 2)) 1/12)))) into (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 5)) 1/6))
7.588 * [backup-simplify]: Simplify (+ (* (pow (+ (pow x 2) (pow z 2)) 1/6) (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 5)) 1/6))) (+ (* 0 0) (* (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 5)) 1/6)) (pow (+ (pow x 2) (pow z 2)) 1/6)))) into (* 1/3 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 2)) 1/3))
7.588 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 2)) 1/3)) in z
7.588 * [taylor]: Taking taylor expansion of 1/3 in z
7.588 * [backup-simplify]: Simplify 1/3 into 1/3
7.588 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow x 2) (pow z 2)) 2)) 1/3) in z
7.588 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow (+ (pow x 2) (pow z 2)) 2))))) in z
7.588 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow (+ (pow x 2) (pow z 2)) 2)))) in z
7.588 * [taylor]: Taking taylor expansion of 1/3 in z
7.588 * [backup-simplify]: Simplify 1/3 into 1/3
7.588 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow x 2) (pow z 2)) 2))) in z
7.588 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (pow z 2)) 2)) in z
7.588 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow z 2)) 2) in z
7.588 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
7.588 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.588 * [taylor]: Taking taylor expansion of x in z
7.588 * [backup-simplify]: Simplify x into x
7.588 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.588 * [taylor]: Taking taylor expansion of z in z
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 1 into 1
7.588 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.588 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.588 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.589 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.589 * [backup-simplify]: Simplify (log (/ 1 (pow x 4))) into (log (/ 1 (pow x 4)))
7.589 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 4)))) into (* 1/3 (log (/ 1 (pow x 4))))
7.589 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 4))))) into (pow (/ 1 (pow x 4)) 1/3)
7.589 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3))
7.589 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) in x
7.589 * [taylor]: Taking taylor expansion of 1/3 in x
7.589 * [backup-simplify]: Simplify 1/3 into 1/3
7.589 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x
7.589 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x
7.589 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x
7.590 * [taylor]: Taking taylor expansion of 1/3 in x
7.590 * [backup-simplify]: Simplify 1/3 into 1/3
7.590 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x
7.590 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.590 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.590 * [taylor]: Taking taylor expansion of x in x
7.590 * [backup-simplify]: Simplify 0 into 0
7.590 * [backup-simplify]: Simplify 1 into 1
7.590 * [backup-simplify]: Simplify (* 1 1) into 1
7.590 * [backup-simplify]: Simplify (* 1 1) into 1
7.591 * [backup-simplify]: Simplify (/ 1 1) into 1
7.591 * [backup-simplify]: Simplify (log 1) into 0
7.591 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x)))
7.591 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x))
7.591 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3)
7.592 * [backup-simplify]: Simplify (* 1/3 (pow x -4/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3))
7.592 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3))
7.592 * [taylor]: Taking taylor expansion of 0 in x
7.592 * [backup-simplify]: Simplify 0 into 0
7.592 * [backup-simplify]: Simplify 0 into 0
7.592 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.592 * [backup-simplify]: Simplify (* 1 1) into 1
7.593 * [backup-simplify]: Simplify (+ 0 1) into 1
7.594 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow x 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow x 2) 1)))) 2) into (/ 1 (pow x 2))
7.594 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 1/3 (/ 1 (pow x 2)))
7.595 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow x 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3))
7.595 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) in x
7.595 * [taylor]: Taking taylor expansion of 1/3 in x
7.595 * [backup-simplify]: Simplify 1/3 into 1/3
7.595 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 4)) 1/3) in x
7.595 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 4))))) in x
7.595 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 4)))) in x
7.595 * [taylor]: Taking taylor expansion of 1/3 in x
7.595 * [backup-simplify]: Simplify 1/3 into 1/3
7.595 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 4))) in x
7.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x
7.595 * [taylor]: Taking taylor expansion of (pow x 4) in x
7.595 * [taylor]: Taking taylor expansion of x in x
7.595 * [backup-simplify]: Simplify 0 into 0
7.595 * [backup-simplify]: Simplify 1 into 1
7.596 * [backup-simplify]: Simplify (* 1 1) into 1
7.596 * [backup-simplify]: Simplify (* 1 1) into 1
7.596 * [backup-simplify]: Simplify (/ 1 1) into 1
7.597 * [backup-simplify]: Simplify (log 1) into 0
7.597 * [backup-simplify]: Simplify (+ (* (- 4) (log x)) 0) into (- (* 4 (log x)))
7.597 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log x)))) into (* -4/3 (log x))
7.597 * [backup-simplify]: Simplify (exp (* -4/3 (log x))) into (pow x -4/3)
7.597 * [backup-simplify]: Simplify (* 1/3 (pow x -4/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3))
7.598 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow x 4)) 1/3))
7.599 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) (pow (* 1 (* z 1)) 2)) (+ (* (* 1/3 (pow (/ 1 (pow x 4)) 1/3)) (pow (* 1 (* 1 y)) 2)) (pow x 2/3))) into (+ (pow x 2/3) (+ (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (pow z 2))) (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2)))))
7.600 * [backup-simplify]: Simplify (pow (cbrt (sqrt (sqrt (+ (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))) (* (/ 1 x) (/ 1 x)))))) (+ 3 1)) into (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4)
7.600 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in (y z x) around 0
7.600 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in x
7.600 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) in x
7.600 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
7.600 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
7.600 * [taylor]: Taking taylor expansion of 1/12 in x
7.600 * [backup-simplify]: Simplify 1/12 into 1/12
7.600 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.600 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.600 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.600 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.600 * [taylor]: Taking taylor expansion of x in x
7.600 * [backup-simplify]: Simplify 0 into 0
7.600 * [backup-simplify]: Simplify 1 into 1
7.600 * [backup-simplify]: Simplify (* 1 1) into 1
7.601 * [backup-simplify]: Simplify (/ 1 1) into 1
7.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.601 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.601 * [taylor]: Taking taylor expansion of z in x
7.601 * [backup-simplify]: Simplify z into z
7.601 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.601 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.601 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.601 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.601 * [taylor]: Taking taylor expansion of y in x
7.601 * [backup-simplify]: Simplify y into y
7.601 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.601 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.602 * [backup-simplify]: Simplify (+ 1 0) into 1
7.602 * [backup-simplify]: Simplify (log 1) into 0
7.603 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
7.603 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log x)))) into (* -1/6 (log x))
7.603 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6)
7.603 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in z
7.603 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) in z
7.603 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
7.603 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
7.603 * [taylor]: Taking taylor expansion of 1/12 in z
7.603 * [backup-simplify]: Simplify 1/12 into 1/12
7.603 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.603 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.603 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.603 * [taylor]: Taking taylor expansion of x in z
7.603 * [backup-simplify]: Simplify x into x
7.603 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.603 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.603 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.603 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.603 * [taylor]: Taking taylor expansion of z in z
7.603 * [backup-simplify]: Simplify 0 into 0
7.603 * [backup-simplify]: Simplify 1 into 1
7.604 * [backup-simplify]: Simplify (* 1 1) into 1
7.604 * [backup-simplify]: Simplify (/ 1 1) into 1
7.604 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.604 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.604 * [taylor]: Taking taylor expansion of y in z
7.604 * [backup-simplify]: Simplify y into y
7.604 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.604 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.605 * [backup-simplify]: Simplify (+ 1 0) into 1
7.605 * [backup-simplify]: Simplify (+ 0 1) into 1
7.606 * [backup-simplify]: Simplify (log 1) into 0
7.606 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
7.606 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log z)))) into (* -1/6 (log z))
7.606 * [backup-simplify]: Simplify (exp (* -1/6 (log z))) into (pow z -1/6)
7.606 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in y
7.606 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) in y
7.606 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
7.606 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
7.606 * [taylor]: Taking taylor expansion of 1/12 in y
7.606 * [backup-simplify]: Simplify 1/12 into 1/12
7.606 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.606 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.606 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.606 * [taylor]: Taking taylor expansion of x in y
7.606 * [backup-simplify]: Simplify x into x
7.607 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.607 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.607 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.607 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.607 * [taylor]: Taking taylor expansion of z in y
7.607 * [backup-simplify]: Simplify z into z
7.607 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.607 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.607 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.607 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.607 * [taylor]: Taking taylor expansion of y in y
7.607 * [backup-simplify]: Simplify 0 into 0
7.607 * [backup-simplify]: Simplify 1 into 1
7.608 * [backup-simplify]: Simplify (* 1 1) into 1
7.608 * [backup-simplify]: Simplify (/ 1 1) into 1
7.608 * [backup-simplify]: Simplify (+ 0 1) into 1
7.609 * [backup-simplify]: Simplify (+ 0 1) into 1
7.609 * [backup-simplify]: Simplify (log 1) into 0
7.610 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
7.610 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log y)))) into (* -1/6 (log y))
7.610 * [backup-simplify]: Simplify (exp (* -1/6 (log y))) into (pow y -1/6)
7.610 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in y
7.610 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) in y
7.610 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
7.610 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
7.610 * [taylor]: Taking taylor expansion of 1/12 in y
7.610 * [backup-simplify]: Simplify 1/12 into 1/12
7.610 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.610 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.610 * [taylor]: Taking taylor expansion of x in y
7.610 * [backup-simplify]: Simplify x into x
7.610 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.610 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.610 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.610 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.610 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.610 * [taylor]: Taking taylor expansion of z in y
7.611 * [backup-simplify]: Simplify z into z
7.611 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.611 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.611 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.611 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.611 * [taylor]: Taking taylor expansion of y in y
7.611 * [backup-simplify]: Simplify 0 into 0
7.611 * [backup-simplify]: Simplify 1 into 1
7.611 * [backup-simplify]: Simplify (* 1 1) into 1
7.612 * [backup-simplify]: Simplify (/ 1 1) into 1
7.612 * [backup-simplify]: Simplify (+ 0 1) into 1
7.612 * [backup-simplify]: Simplify (+ 0 1) into 1
7.613 * [backup-simplify]: Simplify (log 1) into 0
7.613 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
7.613 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log y)))) into (* -1/6 (log y))
7.613 * [backup-simplify]: Simplify (exp (* -1/6 (log y))) into (pow y -1/6)
7.613 * [backup-simplify]: Simplify (* (pow y -1/6) (pow y -1/6)) into (pow (/ 1 y) 1/3)
7.614 * [backup-simplify]: Simplify (* (pow (/ 1 y) 1/3) (pow (/ 1 y) 1/3)) into (pow (/ 1 (pow y 2)) 1/3)
7.614 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in z
7.614 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in z
7.614 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in z
7.614 * [taylor]: Taking taylor expansion of 1/3 in z
7.614 * [backup-simplify]: Simplify 1/3 into 1/3
7.614 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in z
7.614 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.614 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.614 * [taylor]: Taking taylor expansion of y in z
7.614 * [backup-simplify]: Simplify y into y
7.614 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.614 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.614 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.614 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.615 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.615 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x
7.615 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x
7.615 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x
7.615 * [taylor]: Taking taylor expansion of 1/3 in x
7.615 * [backup-simplify]: Simplify 1/3 into 1/3
7.615 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x
7.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.615 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.615 * [taylor]: Taking taylor expansion of y in x
7.615 * [backup-simplify]: Simplify y into y
7.615 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.615 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.615 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.615 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.616 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.616 * [backup-simplify]: Simplify (pow (/ 1 (pow y 2)) 1/3) into (pow (/ 1 (pow y 2)) 1/3)
7.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.618 * [backup-simplify]: Simplify (+ 0 0) into 0
7.618 * [backup-simplify]: Simplify (+ 0 0) into 0
7.619 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.619 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
7.620 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (- (* 2 (log y))))) into 0
7.621 * [backup-simplify]: Simplify (* (exp (* -1/6 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
7.621 * [backup-simplify]: Simplify (+ (* (pow y -1/6) 0) (* 0 (pow y -1/6))) into 0
7.621 * [backup-simplify]: Simplify (+ (* (pow (/ 1 y) 1/3) 0) (* 0 (pow (/ 1 y) 1/3))) into 0
7.621 * [taylor]: Taking taylor expansion of 0 in z
7.621 * [backup-simplify]: Simplify 0 into 0
7.621 * [taylor]: Taking taylor expansion of 0 in x
7.621 * [backup-simplify]: Simplify 0 into 0
7.621 * [backup-simplify]: Simplify 0 into 0
7.622 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.623 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0
7.624 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0
7.626 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.626 * [taylor]: Taking taylor expansion of 0 in x
7.626 * [backup-simplify]: Simplify 0 into 0
7.626 * [backup-simplify]: Simplify 0 into 0
7.626 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.628 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0
7.629 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0
7.630 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.630 * [backup-simplify]: Simplify 0 into 0
7.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.632 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
7.632 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.634 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow z 2)))))
7.635 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
7.636 * [backup-simplify]: Simplify (+ (* 1/12 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow z 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2))))
7.637 * [backup-simplify]: Simplify (* (exp (* -1/6 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2)))) 1) 1)))) into (* (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2)))) (pow (/ 1 y) 1/6))
7.639 * [backup-simplify]: Simplify (+ (* (pow y -1/6) (* (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2)))) (pow (/ 1 y) 1/6))) (+ (* 0 0) (* (* (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2)))) (pow (/ 1 y) 1/6)) (pow y -1/6)))) into (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) (* 1/6 (* (/ 1 (pow z 2)) (pow (/ 1 y) 1/3))))
7.641 * [backup-simplify]: Simplify (+ (* (pow (/ 1 y) 1/3) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) (* 1/6 (* (/ 1 (pow z 2)) (pow (/ 1 y) 1/3))))) (+ (* 0 0) (* (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) (* 1/6 (* (/ 1 (pow z 2)) (pow (/ 1 y) 1/3)))) (pow (/ 1 y) 1/3)))) into (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (pow y 2)) 1/3))))
7.642 * [taylor]: Taking taylor expansion of (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (pow y 2)) 1/3)))) in z
7.642 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in z
7.642 * [taylor]: Taking taylor expansion of 1/3 in z
7.642 * [backup-simplify]: Simplify 1/3 into 1/3
7.642 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in z
7.642 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.642 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.642 * [taylor]: Taking taylor expansion of x in z
7.642 * [backup-simplify]: Simplify x into x
7.642 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.642 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.642 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in z
7.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in z
7.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in z
7.642 * [taylor]: Taking taylor expansion of 1/3 in z
7.642 * [backup-simplify]: Simplify 1/3 into 1/3
7.642 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in z
7.642 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.642 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.642 * [taylor]: Taking taylor expansion of y in z
7.642 * [backup-simplify]: Simplify y into y
7.642 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.642 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.643 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.643 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.643 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.643 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (pow y 2)) 1/3))) in z
7.643 * [taylor]: Taking taylor expansion of 1/3 in z
7.643 * [backup-simplify]: Simplify 1/3 into 1/3
7.643 * [taylor]: Taking taylor expansion of (* (/ 1 (pow z 2)) (pow (/ 1 (pow y 2)) 1/3)) in z
7.643 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.643 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.643 * [taylor]: Taking taylor expansion of z in z
7.643 * [backup-simplify]: Simplify 0 into 0
7.643 * [backup-simplify]: Simplify 1 into 1
7.644 * [backup-simplify]: Simplify (* 1 1) into 1
7.644 * [backup-simplify]: Simplify (/ 1 1) into 1
7.644 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in z
7.644 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in z
7.644 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in z
7.644 * [taylor]: Taking taylor expansion of 1/3 in z
7.644 * [backup-simplify]: Simplify 1/3 into 1/3
7.644 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in z
7.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.644 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.644 * [taylor]: Taking taylor expansion of y in z
7.644 * [backup-simplify]: Simplify y into y
7.644 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.644 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.645 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.645 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.645 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.645 * [backup-simplify]: Simplify (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) into (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))
7.646 * [backup-simplify]: Simplify (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))
7.646 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.647 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0
7.647 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0
7.648 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.648 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.650 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0
7.651 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0
7.652 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.654 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.655 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0
7.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0
7.657 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 2)) 1/3)
7.658 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0
7.659 * [backup-simplify]: Simplify (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 0) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))
7.659 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in x
7.659 * [taylor]: Taking taylor expansion of 1/3 in x
7.659 * [backup-simplify]: Simplify 1/3 into 1/3
7.659 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in x
7.659 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.659 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.659 * [taylor]: Taking taylor expansion of x in x
7.659 * [backup-simplify]: Simplify 0 into 0
7.659 * [backup-simplify]: Simplify 1 into 1
7.660 * [backup-simplify]: Simplify (* 1 1) into 1
7.660 * [backup-simplify]: Simplify (/ 1 1) into 1
7.660 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x
7.660 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x
7.660 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x
7.660 * [taylor]: Taking taylor expansion of 1/3 in x
7.660 * [backup-simplify]: Simplify 1/3 into 1/3
7.660 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x
7.660 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.660 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.660 * [taylor]: Taking taylor expansion of y in x
7.660 * [backup-simplify]: Simplify y into y
7.660 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.660 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.661 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.661 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.661 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.661 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.662 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0
7.663 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0
7.663 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.663 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.665 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0
7.666 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0
7.667 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.669 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0
7.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0
7.672 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 2)) 1/3)
7.673 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0
7.673 * [backup-simplify]: Simplify 0 into 0
7.673 * [taylor]: Taking taylor expansion of 0 in x
7.673 * [backup-simplify]: Simplify 0 into 0
7.673 * [backup-simplify]: Simplify 0 into 0
7.674 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.676 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0
7.677 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0
7.678 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.678 * [taylor]: Taking taylor expansion of 0 in x
7.678 * [backup-simplify]: Simplify 0 into 0
7.678 * [backup-simplify]: Simplify 0 into 0
7.678 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 y) 2)) 1/3) into (pow (pow y 2) 1/3)
7.679 * [backup-simplify]: Simplify (pow (cbrt (sqrt (sqrt (+ (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))) (* (/ 1 (- x)) (/ 1 (- x))))))) (+ 3 1)) into (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4)
7.679 * [approximate]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in (y z x) around 0
7.680 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in x
7.680 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) in x
7.680 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
7.680 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
7.680 * [taylor]: Taking taylor expansion of 1/12 in x
7.680 * [backup-simplify]: Simplify 1/12 into 1/12
7.680 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.680 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.680 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.680 * [taylor]: Taking taylor expansion of x in x
7.680 * [backup-simplify]: Simplify 0 into 0
7.680 * [backup-simplify]: Simplify 1 into 1
7.680 * [backup-simplify]: Simplify (* 1 1) into 1
7.681 * [backup-simplify]: Simplify (/ 1 1) into 1
7.681 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.681 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.681 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.681 * [taylor]: Taking taylor expansion of z in x
7.681 * [backup-simplify]: Simplify z into z
7.681 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.681 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.681 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.681 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.681 * [taylor]: Taking taylor expansion of y in x
7.681 * [backup-simplify]: Simplify y into y
7.681 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.681 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.682 * [backup-simplify]: Simplify (+ 1 0) into 1
7.682 * [backup-simplify]: Simplify (log 1) into 0
7.682 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
7.682 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log x)))) into (* -1/6 (log x))
7.683 * [backup-simplify]: Simplify (exp (* -1/6 (log x))) into (pow x -1/6)
7.683 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in z
7.683 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) in z
7.683 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
7.683 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
7.683 * [taylor]: Taking taylor expansion of 1/12 in z
7.683 * [backup-simplify]: Simplify 1/12 into 1/12
7.683 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.683 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.683 * [taylor]: Taking taylor expansion of x in z
7.683 * [backup-simplify]: Simplify x into x
7.683 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.683 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.683 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.683 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.683 * [taylor]: Taking taylor expansion of z in z
7.683 * [backup-simplify]: Simplify 0 into 0
7.683 * [backup-simplify]: Simplify 1 into 1
7.684 * [backup-simplify]: Simplify (* 1 1) into 1
7.684 * [backup-simplify]: Simplify (/ 1 1) into 1
7.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.684 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.684 * [taylor]: Taking taylor expansion of y in z
7.684 * [backup-simplify]: Simplify y into y
7.684 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.684 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.685 * [backup-simplify]: Simplify (+ 1 0) into 1
7.685 * [backup-simplify]: Simplify (+ 0 1) into 1
7.685 * [backup-simplify]: Simplify (log 1) into 0
7.686 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
7.686 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log z)))) into (* -1/6 (log z))
7.686 * [backup-simplify]: Simplify (exp (* -1/6 (log z))) into (pow z -1/6)
7.686 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in y
7.686 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) in y
7.686 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
7.686 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
7.686 * [taylor]: Taking taylor expansion of 1/12 in y
7.686 * [backup-simplify]: Simplify 1/12 into 1/12
7.686 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.686 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.686 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.686 * [taylor]: Taking taylor expansion of x in y
7.686 * [backup-simplify]: Simplify x into x
7.686 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.687 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.687 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.687 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.687 * [taylor]: Taking taylor expansion of z in y
7.687 * [backup-simplify]: Simplify z into z
7.687 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.687 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.687 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.687 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.687 * [taylor]: Taking taylor expansion of y in y
7.687 * [backup-simplify]: Simplify 0 into 0
7.687 * [backup-simplify]: Simplify 1 into 1
7.687 * [backup-simplify]: Simplify (* 1 1) into 1
7.688 * [backup-simplify]: Simplify (/ 1 1) into 1
7.688 * [backup-simplify]: Simplify (+ 0 1) into 1
7.689 * [backup-simplify]: Simplify (+ 0 1) into 1
7.689 * [backup-simplify]: Simplify (log 1) into 0
7.689 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
7.689 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log y)))) into (* -1/6 (log y))
7.689 * [backup-simplify]: Simplify (exp (* -1/6 (log y))) into (pow y -1/6)
7.689 * [taylor]: Taking taylor expansion of (pow (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) 4) in y
7.690 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/12) in y
7.690 * [taylor]: Taking taylor expansion of (exp (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
7.690 * [taylor]: Taking taylor expansion of (* 1/12 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
7.690 * [taylor]: Taking taylor expansion of 1/12 in y
7.690 * [backup-simplify]: Simplify 1/12 into 1/12
7.690 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.690 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.690 * [taylor]: Taking taylor expansion of x in y
7.690 * [backup-simplify]: Simplify x into x
7.690 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.690 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.690 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.690 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.690 * [taylor]: Taking taylor expansion of z in y
7.690 * [backup-simplify]: Simplify z into z
7.690 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.690 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.690 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.690 * [taylor]: Taking taylor expansion of y in y
7.690 * [backup-simplify]: Simplify 0 into 0
7.690 * [backup-simplify]: Simplify 1 into 1
7.691 * [backup-simplify]: Simplify (* 1 1) into 1
7.691 * [backup-simplify]: Simplify (/ 1 1) into 1
7.691 * [backup-simplify]: Simplify (+ 0 1) into 1
7.692 * [backup-simplify]: Simplify (+ 0 1) into 1
7.692 * [backup-simplify]: Simplify (log 1) into 0
7.693 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
7.693 * [backup-simplify]: Simplify (* 1/12 (- (* 2 (log y)))) into (* -1/6 (log y))
7.693 * [backup-simplify]: Simplify (exp (* -1/6 (log y))) into (pow y -1/6)
7.693 * [backup-simplify]: Simplify (* (pow y -1/6) (pow y -1/6)) into (pow (/ 1 y) 1/3)
7.693 * [backup-simplify]: Simplify (* (pow (/ 1 y) 1/3) (pow (/ 1 y) 1/3)) into (pow (/ 1 (pow y 2)) 1/3)
7.693 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in z
7.693 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in z
7.693 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in z
7.693 * [taylor]: Taking taylor expansion of 1/3 in z
7.693 * [backup-simplify]: Simplify 1/3 into 1/3
7.693 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in z
7.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.693 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.693 * [taylor]: Taking taylor expansion of y in z
7.694 * [backup-simplify]: Simplify y into y
7.694 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.694 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.694 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.694 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.694 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.694 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x
7.694 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x
7.694 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x
7.694 * [taylor]: Taking taylor expansion of 1/3 in x
7.694 * [backup-simplify]: Simplify 1/3 into 1/3
7.694 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x
7.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.694 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.694 * [taylor]: Taking taylor expansion of y in x
7.695 * [backup-simplify]: Simplify y into y
7.695 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.695 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.695 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.695 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.695 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.695 * [backup-simplify]: Simplify (pow (/ 1 (pow y 2)) 1/3) into (pow (/ 1 (pow y 2)) 1/3)
7.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.697 * [backup-simplify]: Simplify (+ 0 0) into 0
7.697 * [backup-simplify]: Simplify (+ 0 0) into 0
7.698 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
7.699 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
7.699 * [backup-simplify]: Simplify (+ (* 1/12 0) (* 0 (- (* 2 (log y))))) into 0
7.700 * [backup-simplify]: Simplify (* (exp (* -1/6 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
7.700 * [backup-simplify]: Simplify (+ (* (pow y -1/6) 0) (* 0 (pow y -1/6))) into 0
7.701 * [backup-simplify]: Simplify (+ (* (pow (/ 1 y) 1/3) 0) (* 0 (pow (/ 1 y) 1/3))) into 0
7.701 * [taylor]: Taking taylor expansion of 0 in z
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [taylor]: Taking taylor expansion of 0 in x
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify 0 into 0
7.701 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.702 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0
7.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0
7.703 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.703 * [taylor]: Taking taylor expansion of 0 in x
7.703 * [backup-simplify]: Simplify 0 into 0
7.703 * [backup-simplify]: Simplify 0 into 0
7.704 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.705 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0
7.705 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0
7.706 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.706 * [backup-simplify]: Simplify 0 into 0
7.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.708 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
7.708 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))
7.710 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow z 2)))))
7.711 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
7.711 * [backup-simplify]: Simplify (+ (* 1/12 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow z 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log y)))))) into (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2))))
7.713 * [backup-simplify]: Simplify (* (exp (* -1/6 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2)))) 1) 1)))) into (* (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2)))) (pow (/ 1 y) 1/6))
7.714 * [backup-simplify]: Simplify (+ (* (pow y -1/6) (* (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2)))) (pow (/ 1 y) 1/6))) (+ (* 0 0) (* (* (+ (* 1/12 (/ 1 (pow x 2))) (* 1/12 (/ 1 (pow z 2)))) (pow (/ 1 y) 1/6)) (pow y -1/6)))) into (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) (* 1/6 (* (/ 1 (pow z 2)) (pow (/ 1 y) 1/3))))
7.717 * [backup-simplify]: Simplify (+ (* (pow (/ 1 y) 1/3) (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) (* 1/6 (* (/ 1 (pow z 2)) (pow (/ 1 y) 1/3))))) (+ (* 0 0) (* (+ (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 y) 1/3))) (* 1/6 (* (/ 1 (pow z 2)) (pow (/ 1 y) 1/3)))) (pow (/ 1 y) 1/3)))) into (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (pow y 2)) 1/3))))
7.717 * [taylor]: Taking taylor expansion of (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (pow y 2)) 1/3)))) in z
7.717 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in z
7.717 * [taylor]: Taking taylor expansion of 1/3 in z
7.717 * [backup-simplify]: Simplify 1/3 into 1/3
7.717 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in z
7.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.717 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.717 * [taylor]: Taking taylor expansion of x in z
7.718 * [backup-simplify]: Simplify x into x
7.718 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.718 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.718 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in z
7.718 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in z
7.718 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in z
7.718 * [taylor]: Taking taylor expansion of 1/3 in z
7.718 * [backup-simplify]: Simplify 1/3 into 1/3
7.718 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in z
7.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.718 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.718 * [taylor]: Taking taylor expansion of y in z
7.718 * [backup-simplify]: Simplify y into y
7.718 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.718 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.718 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.719 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.719 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.719 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow z 2)) (pow (/ 1 (pow y 2)) 1/3))) in z
7.719 * [taylor]: Taking taylor expansion of 1/3 in z
7.719 * [backup-simplify]: Simplify 1/3 into 1/3
7.719 * [taylor]: Taking taylor expansion of (* (/ 1 (pow z 2)) (pow (/ 1 (pow y 2)) 1/3)) in z
7.719 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.719 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.719 * [taylor]: Taking taylor expansion of z in z
7.719 * [backup-simplify]: Simplify 0 into 0
7.719 * [backup-simplify]: Simplify 1 into 1
7.719 * [backup-simplify]: Simplify (* 1 1) into 1
7.720 * [backup-simplify]: Simplify (/ 1 1) into 1
7.720 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in z
7.720 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in z
7.720 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in z
7.720 * [taylor]: Taking taylor expansion of 1/3 in z
7.720 * [backup-simplify]: Simplify 1/3 into 1/3
7.720 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in z
7.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.720 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.720 * [taylor]: Taking taylor expansion of y in z
7.720 * [backup-simplify]: Simplify y into y
7.720 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.720 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.720 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.720 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.721 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.721 * [backup-simplify]: Simplify (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) into (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))
7.721 * [backup-simplify]: Simplify (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))
7.721 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.723 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0
7.723 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0
7.723 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.724 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.726 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0
7.726 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0
7.728 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.730 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0
7.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0
7.736 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 2)) 1/3)
7.737 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0
7.738 * [backup-simplify]: Simplify (+ (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) 0) into (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)))
7.738 * [taylor]: Taking taylor expansion of (* 1/3 (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3))) in x
7.738 * [taylor]: Taking taylor expansion of 1/3 in x
7.738 * [backup-simplify]: Simplify 1/3 into 1/3
7.738 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 (pow y 2)) 1/3)) in x
7.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.738 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.738 * [taylor]: Taking taylor expansion of x in x
7.738 * [backup-simplify]: Simplify 0 into 0
7.738 * [backup-simplify]: Simplify 1 into 1
7.738 * [backup-simplify]: Simplify (* 1 1) into 1
7.739 * [backup-simplify]: Simplify (/ 1 1) into 1
7.739 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 2)) 1/3) in x
7.739 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 2))))) in x
7.739 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 2)))) in x
7.739 * [taylor]: Taking taylor expansion of 1/3 in x
7.739 * [backup-simplify]: Simplify 1/3 into 1/3
7.739 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 2))) in x
7.739 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.739 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.739 * [taylor]: Taking taylor expansion of y in x
7.739 * [backup-simplify]: Simplify y into y
7.739 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.739 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.739 * [backup-simplify]: Simplify (log (/ 1 (pow y 2))) into (log (/ 1 (pow y 2)))
7.739 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow y 2)))) into (* 1/3 (log (/ 1 (pow y 2))))
7.739 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow y 2))))) into (pow (/ 1 (pow y 2)) 1/3)
7.740 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.740 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 1) into 0
7.741 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow y 2))))) into 0
7.742 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0
7.745 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0
7.746 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.748 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
7.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0
7.751 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 (pow y 2)) 1/3))) into 0
7.751 * [backup-simplify]: Simplify (* 1 (pow (/ 1 (pow y 2)) 1/3)) into (pow (/ 1 (pow y 2)) 1/3)
7.752 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow y 2)) 1/3)))) into 0
7.752 * [backup-simplify]: Simplify 0 into 0
7.752 * [taylor]: Taking taylor expansion of 0 in x
7.752 * [backup-simplify]: Simplify 0 into 0
7.752 * [backup-simplify]: Simplify 0 into 0
7.753 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow y 2)) 1)))) 2) into 0
7.756 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow y 2)))))) into 0
7.757 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
7.757 * [taylor]: Taking taylor expansion of 0 in x
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify 0 into 0
7.757 * [backup-simplify]: Simplify (pow (/ 1 (pow (/ 1 (- y)) 2)) 1/3) into (pow (pow y 2) 1/3)
7.757 * * * [progress]: simplifying candidates
7.760 * [simplify]: Simplifying:
  (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))))
  (log (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (exp (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (* (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (* (* (sqrt (+ (+ (* y y) (* z z)) (* x x))) (sqrt (+ (+ (* y y) (* z z)) (* x x)))) (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (* (cbrt (+ (+ (* y y) (* z z)) (* x x))) (cbrt (+ (+ (* y y) (* z z)) (* x x)))))
  (sqrt (cbrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt 1)
  (sqrt (+ (+ (* y y) (* z z)) (* x x)))
  (sqrt (+ (pow (+ (* y y) (* z z)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (* x x)))))
  (sqrt (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* (* x x) (* x x))))
  (sqrt (- (+ (* y y) (* z z)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (log (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (exp (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (* (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))
  (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (* (* (sqrt (+ (+ (* y y) (* z z)) (* x x))) (sqrt (+ (+ (* y y) (* z z)) (* x x)))) (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (* (cbrt (+ (+ (* y y) (* z z)) (* x x))) (cbrt (+ (+ (* y y) (* z z)) (* x x)))))
  (sqrt (cbrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt 1)
  (sqrt (+ (+ (* y y) (* z z)) (* x x)))
  (sqrt (+ (pow (+ (* y y) (* z z)) 3) (pow (* x x) 3)))
  (sqrt (+ (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (* x x)))))
  (sqrt (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* (* x x) (* x x))))
  (sqrt (- (+ (* y y) (* z z)) (* x x)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))
  (* (log (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (* (log (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (* 1/3 (+ 3 1))
  (* 1 (+ 3 1))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (* (cbrt (+ 3 1)) (cbrt (+ 3 1))))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (sqrt (+ 3 1)))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 1)
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 1)
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 3)
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 1)
  (pow (cbrt (* (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))))) (+ 3 1))
  (pow (cbrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt (sqrt (* (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))) (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))))) (+ 3 1))
  (pow (cbrt (sqrt (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (* (cbrt (+ (+ (* y y) (* z z)) (* x x))) (cbrt (+ (+ (* y y) (* z z)) (* x x))))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (cbrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt 1))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt (sqrt 1)) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (cbrt 1) (+ 3 1))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1))
  (pow (* (cbrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))))) (+ 3 1))
  (pow (cbrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (sqrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow (sqrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (+ 3 1))
  (pow 1 (+ 3 1))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1))
  (log (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)))
  (exp (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)))
  (* (cbrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1))) (cbrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1))))
  (cbrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)))
  (* (* (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)) (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1))) (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)))
  (sqrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)))
  (sqrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (+ 3 1)))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (/ (+ 3 1) 2))
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (/ (+ 3 1) 2))
  z
  x
  (* -1 x)
  x
  y
  (* -1 y)
  x
  y
  (* -1 y)
  (+ (pow x 2/3) (+ (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (pow z 2))) (* 1/3 (* (pow (/ 1 (pow x 4)) 1/3) (pow y 2)))))
  (pow (pow y 2) 1/3)
  (pow (pow y 2) 1/3)
7.763 * * [simplify]: Extracting # 0 : cost  0
7.764 * * [simplify]: Extracting # 1 : cost  0
7.764 * * [simplify]: Extracting # 2 : cost  0
7.764 * * [simplify]: Extracting # 3 : cost  0
7.764 * * [simplify]: Extracting # 4 : cost  0
7.765 * * [simplify]: Extracting # 5 : cost  0
7.765 * * [simplify]: Extracting # 6 : cost  0
7.765 * * [simplify]: Extracting # 7 : cost  0
7.765 * * [simplify]: Extracting # 8 : cost  0
7.766 * * [simplify]: Extracting # 9 : cost  0
7.766 * * [simplify]: iteration  0 :  141  enodes  (cost  1801 )
7.834 * * [simplify]: Extracting # 0 : cost  0
7.835 * * [simplify]: Extracting # 1 : cost  0
7.836 * * [simplify]: Extracting # 2 : cost  0
7.836 * * [simplify]: Extracting # 3 : cost  0
7.837 * * [simplify]: Extracting # 4 : cost  0
7.837 * * [simplify]: Extracting # 5 : cost  0
7.838 * * [simplify]: iteration  1 :  398  enodes  (cost  1535 )
8.159 * * [simplify]: Extracting # 0 : cost  0
8.161 * * [simplify]: Extracting # 1 : cost  0
8.164 * * [simplify]: Extracting # 2 : cost  0
8.166 * * [simplify]: Extracting # 3 : cost  0
8.168 * * [simplify]: Extracting # 4 : cost  0
8.171 * * [simplify]: iteration  2 :  1539  enodes  (cost  1431 )
8.714 * * [simplify]: Extracting # 0 : cost  0
8.722 * * [simplify]: Extracting # 1 : cost  0
8.732 * * [simplify]: Extracting # 2 : cost  0
8.743 * * [simplify]: Extracting # 3 : cost  0
8.753 * * [simplify]: Extracting # 4 : cost  0
8.763 * * [simplify]: iteration done:  5001  enodes  (cost  1429 )
8.764 * [simplify]: Simplified to:
  (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))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (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))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow z 6) (pow (+ (* x x) (* y y)) 3)))
  (sqrt (+ (* (* z z) (- (* z z) (+ (* x x) (* y y)))) (* (+ (* x x) (* y y)) (+ (* x x) (* y y)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (pow z 4)))
  (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))))
  (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))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (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))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* y y) (* z z)) 3) (pow x 6)))
  (sqrt (+ (* (* x x) (- (* x x) (+ (* y y) (* z z)))) (* (+ (* y y) (* z z)) (+ (* y y) (* z z)))))
  (sqrt (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (pow x 4)))
  (sqrt (- (+ (* y y) (* z z)) (* x x)))
  1/2
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (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))))
  (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3)
  (fabs (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))))
  1
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* y y) (* z z)) 3) (pow x 6)))
  (sqrt (+ (* (* x x) (- (* x x) (+ (* y y) (* z z)))) (* (+ (* y y) (* z z)) (+ (* y y) (* z z)))))
  (sqrt (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (pow x 4)))
  (sqrt (- (+ (* y y) (* z z)) (* x x)))
  1/2
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* 4 (log (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))))
  (* 4 (log (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))))
  4/3
  4
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) (* (cbrt 4) (cbrt 4)))
  (pow (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 2)
  (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (pow (cbrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 2)) 4)
  (pow (cbrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (fabs (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (sqrt (cbrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (sqrt (fabs (cbrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (sqrt (sqrt (cbrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  1
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  1
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (sqrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  1
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4)
  (pow (pow (cbrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 2) 4)
  (pow (cbrt (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) 4)
  (pow (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 2)
  (pow (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 2)
  1
  (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4)
  (* 4 (log (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))))
  (exp (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4))
  (* (cbrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4)) (cbrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4)))
  (cbrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4))
  (pow (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4) 3)
  (sqrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4))
  (sqrt (pow (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x))))) 4))
  (pow (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 2)
  (pow (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 2)
  z
  x
  (- x)
  x
  y
  (- y)
  x
  y
  (- y)
  (+ (* (* 1/3 (cbrt (/ 1 (pow x 4)))) (+ (* y y) (* z z))) (pow x 2/3))
  (cbrt (* y y))
  (cbrt (* y y))
8.766 * * * [progress]: adding candidates to table
9.647 * * [progress]: iteration 4 / 4
9.647 * * * [progress]: picking best candidate
9.668 * * * * [pick]: Picked  #<alt (λ (x y z) (- x))>
9.668 * * * [progress]: localizing error
9.671 * * * [progress]: generating rewritten candidates
9.672 * * * [progress]: generating series expansions
9.672 * * * [progress]: simplifying candidates
9.672 * [simplify]: Simplifying:
  
9.672 * * [simplify]: Extracting # 0 : cost  0
9.672 * * [simplify]: iteration  0 :  0  enodes  (cost  0 )
9.672 * * [simplify]: Extracting # 0 : cost  0
9.672 * * [simplify]: iteration done:  0  enodes  (cost  0 )
9.672 * [simplify]: Simplified to:
  
9.672 * * * [progress]: adding candidates to table
9.672 * [progress]: [Phase 3 of 3] Extracting.
9.672 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
9.675 * * * [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)
9.675 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
9.782 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
9.875 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
9.951 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.026 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.093 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.176 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) z)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.248 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.346 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.402 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.490 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.539 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.644 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.774 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
10.885 * * * [regime]: Found split indices: #<option (#s(si 0 42) #s(si 5 125) #s(si 1 134) #s(si 5 212) #s(si 2 255))>
10.886 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
11.094 * [regimes]: Found splitpoints: (#s(sp 0 x -3.983694464815315e+143) #s(sp 5 x -1.5378615096700336e-273) #s(sp 1 x -1.7754786637459033e-299) #s(sp 5 x 1.119152176003768e+99) #s(sp 2 x +nan.0)) , with alts (#<alt (λ (x y z) (- x))> #<alt (λ (x y z) z)> #<alt (λ (x y z) x)> #<alt (λ (x y z) (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))> #<alt (λ (x y z) (* (* (pow (cbrt (sqrt y)) (+ 3 1)) (cbrt (sqrt (sqrt (+ (+ (* y y) (* z z)) (* x x)))))) (cbrt (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
11.095 * [simplify]: Simplifying:
  (if (<= x -3.983694464815315e+143) (- x) (if (<= x -1.5378615096700336e-273) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (if (<= x -1.7754786637459033e-299) z (if (<= x 1.119152176003768e+99) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))))
11.095 * * [simplify]: Extracting # 0 : cost  0
11.095 * * [simplify]: Extracting # 1 : cost  0
11.095 * * [simplify]: Extracting # 2 : cost  0
11.095 * * [simplify]: Extracting # 3 : cost  0
11.095 * * [simplify]: Extracting # 4 : cost  0
11.095 * * [simplify]: Extracting # 5 : cost  0
11.095 * * [simplify]: Extracting # 6 : cost  0
11.095 * * [simplify]: Extracting # 7 : cost  0
11.095 * * [simplify]: Extracting # 8 : cost  0
11.095 * * [simplify]: Extracting # 9 : cost  0
11.095 * * [simplify]: Extracting # 10 : cost  0
11.095 * * [simplify]: Extracting # 11 : cost  0
11.095 * * [simplify]: Extracting # 12 : cost  0
11.095 * * [simplify]: iteration  0 :  22  enodes  (cost  44 )
11.097 * * [simplify]: Extracting # 0 : cost  0
11.097 * * [simplify]: iteration  1 :  24  enodes  (cost  44 )
11.098 * * [simplify]: Extracting # 0 : cost  0
11.098 * * [simplify]: iteration done:  24  enodes  (cost  44 )
11.098 * [simplify]: Simplified to:
  (if (<= x -3.983694464815315e+143) (- x) (if (<= x -1.5378615096700336e-273) (sqrt (+ (+ (* x x) (* y y)) (* z z))) (if (<= x -1.7754786637459033e-299) z (if (<= x 1.119152176003768e+99) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))))
13.299 * [regime-testing]: Baseline error score: 37.95271956251966
13.302 * [regime-testing]: Oracle error score: 18.41436895611208
13.310 * [regime-testing]: End program error score: 25.740580214026128
13.439 * [regime-testing]: Target error score: 25.448204002103047