278.198 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.035 * * * [progress]: [2/2] Setting up program.
0.038 * [progress]: [Phase 2 of 3] Improving.
0.039 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.039 * * [simplify]: Extracting # 0 : cost  0
0.039 * * [simplify]: Extracting # 1 : cost  0
0.039 * * [simplify]: Extracting # 2 : cost  0
0.039 * * [simplify]: Extracting # 3 : cost  0
0.039 * * [simplify]: Extracting # 4 : cost  0
0.039 * * [simplify]: Extracting # 5 : cost  0
0.039 * * [simplify]: Extracting # 6 : cost  0
0.039 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.042 * * [simplify]: Extracting # 0 : cost  0
0.042 * * [simplify]: Extracting # 1 : cost  0
0.042 * * [simplify]: Extracting # 2 : cost  0
0.042 * * [simplify]: iteration  1 :  13  enodes  (cost  12 )
0.045 * * [simplify]: Extracting # 0 : cost  0
0.046 * * [simplify]: Extracting # 1 : cost  0
0.046 * * [simplify]: Extracting # 2 : cost  0
0.046 * * [simplify]: iteration  2 :  20  enodes  (cost  12 )
0.051 * * [simplify]: Extracting # 0 : cost  0
0.051 * * [simplify]: iteration  3 :  22  enodes  (cost  12 )
0.056 * * [simplify]: Extracting # 0 : cost  0
0.056 * * [simplify]: iteration done:  22  enodes  (cost  12 )
0.056 * [simplify]: Simplified to:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.057 * * [progress]: iteration 1 / 4
0.057 * * * [progress]: picking best candidate
0.060 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.060 * * * [progress]: localizing error
0.075 * * * [progress]: generating rewritten candidates
0.075 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.137 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1)
0.154 * * * [progress]: generating series expansions
0.154 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.154 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.154 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.154 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.154 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.154 * [taylor]: Taking taylor expansion of x in z
0.154 * [backup-simplify]: Simplify x into x
0.154 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.154 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.154 * [taylor]: Taking taylor expansion of y in z
0.155 * [backup-simplify]: Simplify y into y
0.155 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.155 * [taylor]: Taking taylor expansion of z in z
0.155 * [backup-simplify]: Simplify 0 into 0
0.155 * [backup-simplify]: Simplify 1 into 1
0.155 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.155 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.155 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.155 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.155 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.155 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.155 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.156 * [backup-simplify]: Simplify (+ 0 0) into 0
0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.157 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.157 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.157 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.157 * [taylor]: Taking taylor expansion of x in y
0.157 * [backup-simplify]: Simplify x into x
0.157 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.157 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.157 * [taylor]: Taking taylor expansion of y in y
0.157 * [backup-simplify]: Simplify 0 into 0
0.157 * [backup-simplify]: Simplify 1 into 1
0.157 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.157 * [taylor]: Taking taylor expansion of z in y
0.157 * [backup-simplify]: Simplify z into z
0.157 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.157 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.157 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.158 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.158 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.158 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.158 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.158 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (+ 0 0) into 0
0.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.159 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.159 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.159 * [taylor]: Taking taylor expansion of x in x
0.159 * [backup-simplify]: Simplify 0 into 0
0.159 * [backup-simplify]: Simplify 1 into 1
0.159 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.159 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.159 * [taylor]: Taking taylor expansion of y in x
0.159 * [backup-simplify]: Simplify y into y
0.159 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.159 * [taylor]: Taking taylor expansion of z in x
0.159 * [backup-simplify]: Simplify z into z
0.159 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.159 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.160 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.160 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.160 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.160 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.160 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [backup-simplify]: Simplify (+ 0 0) into 0
0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.161 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.161 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.161 * [taylor]: Taking taylor expansion of x in x
0.161 * [backup-simplify]: Simplify 0 into 0
0.161 * [backup-simplify]: Simplify 1 into 1
0.161 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.162 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.162 * [taylor]: Taking taylor expansion of y in x
0.162 * [backup-simplify]: Simplify y into y
0.162 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.162 * [taylor]: Taking taylor expansion of z in x
0.162 * [backup-simplify]: Simplify z into z
0.162 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.162 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.162 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.162 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.162 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.163 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.163 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.163 * [backup-simplify]: Simplify (+ 0 0) into 0
0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.164 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.164 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.164 * [taylor]: Taking taylor expansion of y in y
0.164 * [backup-simplify]: Simplify 0 into 0
0.164 * [backup-simplify]: Simplify 1 into 1
0.164 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.164 * [taylor]: Taking taylor expansion of z in y
0.164 * [backup-simplify]: Simplify z into z
0.164 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.164 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.164 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.164 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.165 * [backup-simplify]: Simplify (+ 0 0) into 0
0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.165 * [taylor]: Taking taylor expansion of z in z
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [taylor]: Taking taylor expansion of 0 in y
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [taylor]: Taking taylor expansion of 0 in z
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [taylor]: Taking taylor expansion of 0 in z
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 0 into 0
0.165 * [backup-simplify]: Simplify 1 into 1
0.166 * [backup-simplify]: Simplify (* 1 1) into 1
0.166 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.166 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.167 * [backup-simplify]: Simplify (+ 0 0) into 0
0.167 * [backup-simplify]: Simplify (+ 1 0) into 1
0.168 * [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)))))
0.169 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.169 * [taylor]: Taking taylor expansion of 1/2 in y
0.169 * [backup-simplify]: Simplify 1/2 into 1/2
0.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.169 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.169 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.169 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.169 * [taylor]: Taking taylor expansion of y in y
0.169 * [backup-simplify]: Simplify 0 into 0
0.169 * [backup-simplify]: Simplify 1 into 1
0.169 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.169 * [taylor]: Taking taylor expansion of z in y
0.169 * [backup-simplify]: Simplify z into z
0.169 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.169 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.169 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.169 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.170 * [backup-simplify]: Simplify (+ 0 0) into 0
0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.171 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.171 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.171 * [taylor]: Taking taylor expansion of 1/2 in z
0.171 * [backup-simplify]: Simplify 1/2 into 1/2
0.171 * [taylor]: Taking taylor expansion of z in z
0.171 * [backup-simplify]: Simplify 0 into 0
0.171 * [backup-simplify]: Simplify 1 into 1
0.171 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [taylor]: Taking taylor expansion of 0 in z
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify 0 into 0
0.172 * [backup-simplify]: Simplify (* 1 1) into 1
0.173 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.173 * [backup-simplify]: Simplify (+ 1 0) into 1
0.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.174 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.174 * [taylor]: Taking taylor expansion of 1/2 in z
0.174 * [backup-simplify]: Simplify 1/2 into 1/2
0.174 * [taylor]: Taking taylor expansion of z in z
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.175 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.176 * [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)))))
0.176 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.176 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.176 * [taylor]: Taking taylor expansion of x in z
0.176 * [backup-simplify]: Simplify x into x
0.176 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.176 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.177 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.177 * [taylor]: Taking taylor expansion of z in z
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [backup-simplify]: Simplify (* 1 1) into 1
0.177 * [backup-simplify]: Simplify (/ 1 1) into 1
0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.177 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.177 * [taylor]: Taking taylor expansion of y in z
0.177 * [backup-simplify]: Simplify y into y
0.178 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.178 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.178 * [backup-simplify]: Simplify (+ 1 0) into 1
0.178 * [backup-simplify]: Simplify (+ 0 1) into 1
0.179 * [backup-simplify]: Simplify (sqrt 1) into 1
0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.180 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.181 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.181 * [taylor]: Taking taylor expansion of x in y
0.181 * [backup-simplify]: Simplify x into x
0.182 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.182 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.182 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.182 * [taylor]: Taking taylor expansion of z in y
0.182 * [backup-simplify]: Simplify z into z
0.182 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.182 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.182 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.182 * [taylor]: Taking taylor expansion of y in y
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify 1 into 1
0.182 * [backup-simplify]: Simplify (* 1 1) into 1
0.183 * [backup-simplify]: Simplify (/ 1 1) into 1
0.183 * [backup-simplify]: Simplify (+ 0 1) into 1
0.184 * [backup-simplify]: Simplify (+ 0 1) into 1
0.184 * [backup-simplify]: Simplify (sqrt 1) into 1
0.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.185 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (+ 0 0) into 0
0.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.187 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.187 * [taylor]: Taking taylor expansion of x in x
0.187 * [backup-simplify]: Simplify 0 into 0
0.187 * [backup-simplify]: Simplify 1 into 1
0.187 * [backup-simplify]: Simplify (* 1 1) into 1
0.187 * [backup-simplify]: Simplify (/ 1 1) into 1
0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.187 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.187 * [taylor]: Taking taylor expansion of z in x
0.187 * [backup-simplify]: Simplify z into z
0.188 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.188 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.188 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.188 * [taylor]: Taking taylor expansion of y in x
0.188 * [backup-simplify]: Simplify y into y
0.188 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.188 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.188 * [backup-simplify]: Simplify (+ 1 0) into 1
0.189 * [backup-simplify]: Simplify (sqrt 1) into 1
0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.190 * [backup-simplify]: Simplify (+ 0 0) into 0
0.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.191 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.191 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.191 * [taylor]: Taking taylor expansion of x in x
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 1 into 1
0.191 * [backup-simplify]: Simplify (* 1 1) into 1
0.192 * [backup-simplify]: Simplify (/ 1 1) into 1
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.192 * [taylor]: Taking taylor expansion of z in x
0.192 * [backup-simplify]: Simplify z into z
0.192 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.192 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.192 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.192 * [taylor]: Taking taylor expansion of y in x
0.192 * [backup-simplify]: Simplify y into y
0.192 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.192 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.193 * [backup-simplify]: Simplify (+ 1 0) into 1
0.193 * [backup-simplify]: Simplify (sqrt 1) into 1
0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.195 * [backup-simplify]: Simplify (+ 0 0) into 0
0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.195 * [taylor]: Taking taylor expansion of 1 in y
0.195 * [backup-simplify]: Simplify 1 into 1
0.195 * [taylor]: Taking taylor expansion of 0 in y
0.195 * [backup-simplify]: Simplify 0 into 0
0.195 * [taylor]: Taking taylor expansion of 1 in z
0.195 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.197 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.197 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.199 * [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))))
0.199 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.199 * [taylor]: Taking taylor expansion of 1/2 in y
0.199 * [backup-simplify]: Simplify 1/2 into 1/2
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.199 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.199 * [taylor]: Taking taylor expansion of z in y
0.199 * [backup-simplify]: Simplify z into z
0.199 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.199 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.199 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.199 * [taylor]: Taking taylor expansion of y in y
0.199 * [backup-simplify]: Simplify 0 into 0
0.199 * [backup-simplify]: Simplify 1 into 1
0.200 * [backup-simplify]: Simplify (* 1 1) into 1
0.200 * [backup-simplify]: Simplify (/ 1 1) into 1
0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.201 * [backup-simplify]: Simplify (+ 0 0) into 0
0.202 * [backup-simplify]: Simplify (+ 0 1) into 1
0.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.202 * [taylor]: Taking taylor expansion of 0 in z
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [taylor]: Taking taylor expansion of 0 in z
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [taylor]: Taking taylor expansion of 0 in z
0.202 * [backup-simplify]: Simplify 0 into 0
0.202 * [backup-simplify]: Simplify 1 into 1
0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.204 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.205 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.205 * [backup-simplify]: Simplify (+ 0 0) into 0
0.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.206 * [taylor]: Taking taylor expansion of 0 in y
0.206 * [backup-simplify]: Simplify 0 into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.208 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.208 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.209 * [taylor]: Taking taylor expansion of 1/2 in z
0.209 * [backup-simplify]: Simplify 1/2 into 1/2
0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.209 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.209 * [taylor]: Taking taylor expansion of z in z
0.209 * [backup-simplify]: Simplify 0 into 0
0.209 * [backup-simplify]: Simplify 1 into 1
0.209 * [backup-simplify]: Simplify (* 1 1) into 1
0.209 * [backup-simplify]: Simplify (/ 1 1) into 1
0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [taylor]: Taking taylor expansion of 0 in z
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [taylor]: Taking taylor expansion of 0 in z
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 0 into 0
0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.213 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.213 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [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))))))
0.215 * [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
0.215 * [taylor]: Taking taylor expansion of -1/2 in y
0.215 * [backup-simplify]: Simplify -1/2 into -1/2
0.215 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
0.215 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.215 * [taylor]: Taking taylor expansion of 1/4 in y
0.215 * [backup-simplify]: Simplify 1/4 into 1/4
0.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.215 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.215 * [taylor]: Taking taylor expansion of z in y
0.215 * [backup-simplify]: Simplify z into z
0.216 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.216 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.216 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.216 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.216 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.216 * [taylor]: Taking taylor expansion of 1/2 in y
0.216 * [backup-simplify]: Simplify 1/2 into 1/2
0.216 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.216 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.216 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.216 * [taylor]: Taking taylor expansion of z in y
0.216 * [backup-simplify]: Simplify z into z
0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.216 * [taylor]: Taking taylor expansion of y in y
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.216 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.216 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.216 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.216 * [taylor]: Taking taylor expansion of 1/4 in y
0.217 * [backup-simplify]: Simplify 1/4 into 1/4
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.217 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.217 * [taylor]: Taking taylor expansion of y in y
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.218 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.225 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.225 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.225 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.226 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.227 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.227 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.228 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [taylor]: Taking taylor expansion of 0 in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.230 * [taylor]: Taking taylor expansion of 0 in z
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [taylor]: Taking taylor expansion of 0 in z
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [taylor]: Taking taylor expansion of 0 in z
0.230 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.232 * [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)))))
0.232 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.232 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.232 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.233 * [taylor]: Taking taylor expansion of x in z
0.233 * [backup-simplify]: Simplify x into x
0.233 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.233 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.233 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.233 * [taylor]: Taking taylor expansion of z in z
0.233 * [backup-simplify]: Simplify 0 into 0
0.233 * [backup-simplify]: Simplify 1 into 1
0.233 * [backup-simplify]: Simplify (* 1 1) into 1
0.233 * [backup-simplify]: Simplify (/ 1 1) into 1
0.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.233 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.233 * [taylor]: Taking taylor expansion of y in z
0.233 * [backup-simplify]: Simplify y into y
0.233 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.234 * [backup-simplify]: Simplify (+ 1 0) into 1
0.234 * [backup-simplify]: Simplify (+ 0 1) into 1
0.234 * [backup-simplify]: Simplify (sqrt 1) into 1
0.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.235 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.236 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.236 * [taylor]: Taking taylor expansion of x in y
0.237 * [backup-simplify]: Simplify x into x
0.237 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.237 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.237 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.237 * [taylor]: Taking taylor expansion of z in y
0.237 * [backup-simplify]: Simplify z into z
0.237 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.237 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.237 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.237 * [taylor]: Taking taylor expansion of y in y
0.237 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (* 1 1) into 1
0.238 * [backup-simplify]: Simplify (/ 1 1) into 1
0.238 * [backup-simplify]: Simplify (+ 0 1) into 1
0.238 * [backup-simplify]: Simplify (+ 0 1) into 1
0.239 * [backup-simplify]: Simplify (sqrt 1) into 1
0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.240 * [backup-simplify]: Simplify (+ 0 0) into 0
0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow x 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
0.242 * [backup-simplify]: Simplify (* 1 1) into 1
0.242 * [backup-simplify]: Simplify (/ 1 1) into 1
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.242 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.242 * [taylor]: Taking taylor expansion of z in x
0.242 * [backup-simplify]: Simplify z into z
0.242 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.242 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.242 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.242 * [taylor]: Taking taylor expansion of y in x
0.242 * [backup-simplify]: Simplify y into y
0.242 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.243 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.243 * [backup-simplify]: Simplify (+ 1 0) into 1
0.243 * [backup-simplify]: Simplify (sqrt 1) into 1
0.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.245 * [backup-simplify]: Simplify (+ 0 0) into 0
0.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.245 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.245 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.245 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.245 * [taylor]: Taking taylor expansion of x in x
0.245 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify 1 into 1
0.246 * [backup-simplify]: Simplify (* 1 1) into 1
0.246 * [backup-simplify]: Simplify (/ 1 1) into 1
0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.246 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.246 * [taylor]: Taking taylor expansion of z in x
0.246 * [backup-simplify]: Simplify z into z
0.246 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.246 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.247 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.247 * [taylor]: Taking taylor expansion of y in x
0.247 * [backup-simplify]: Simplify y into y
0.247 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.247 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.247 * [backup-simplify]: Simplify (+ 1 0) into 1
0.247 * [backup-simplify]: Simplify (sqrt 1) into 1
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.249 * [backup-simplify]: Simplify (+ 0 0) into 0
0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.250 * [taylor]: Taking taylor expansion of 1 in y
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [taylor]: Taking taylor expansion of 0 in y
0.250 * [backup-simplify]: Simplify 0 into 0
0.250 * [taylor]: Taking taylor expansion of 1 in z
0.250 * [backup-simplify]: Simplify 1 into 1
0.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.252 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.253 * [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))))
0.253 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.253 * [taylor]: Taking taylor expansion of 1/2 in y
0.253 * [backup-simplify]: Simplify 1/2 into 1/2
0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.253 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.253 * [taylor]: Taking taylor expansion of z in y
0.253 * [backup-simplify]: Simplify z into z
0.253 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.253 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.254 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.254 * [taylor]: Taking taylor expansion of y in y
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 1 into 1
0.254 * [backup-simplify]: Simplify (* 1 1) into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.255 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.256 * [backup-simplify]: Simplify (+ 0 1) into 1
0.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.261 * [taylor]: Taking taylor expansion of 0 in z
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [taylor]: Taking taylor expansion of 0 in z
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [taylor]: Taking taylor expansion of 0 in z
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.263 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.263 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.264 * [backup-simplify]: Simplify (+ 0 0) into 0
0.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.265 * [taylor]: Taking taylor expansion of 0 in y
0.265 * [backup-simplify]: Simplify 0 into 0
0.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.267 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.267 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.267 * [taylor]: Taking taylor expansion of 1/2 in z
0.267 * [backup-simplify]: Simplify 1/2 into 1/2
0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.267 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.267 * [taylor]: Taking taylor expansion of z in z
0.267 * [backup-simplify]: Simplify 0 into 0
0.268 * [backup-simplify]: Simplify 1 into 1
0.268 * [backup-simplify]: Simplify (* 1 1) into 1
0.268 * [backup-simplify]: Simplify (/ 1 1) into 1
0.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.270 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [taylor]: Taking taylor expansion of 0 in z
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [taylor]: Taking taylor expansion of 0 in z
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.273 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [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))))))
0.276 * [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
0.276 * [taylor]: Taking taylor expansion of -1/2 in y
0.276 * [backup-simplify]: Simplify -1/2 into -1/2
0.276 * [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
0.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.276 * [taylor]: Taking taylor expansion of 1/4 in y
0.276 * [backup-simplify]: Simplify 1/4 into 1/4
0.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.276 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.276 * [taylor]: Taking taylor expansion of z in y
0.276 * [backup-simplify]: Simplify z into z
0.276 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.276 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.277 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.277 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.277 * [taylor]: Taking taylor expansion of 1/2 in y
0.277 * [backup-simplify]: Simplify 1/2 into 1/2
0.277 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.277 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.277 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.277 * [taylor]: Taking taylor expansion of z in y
0.277 * [backup-simplify]: Simplify z into z
0.277 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.277 * [taylor]: Taking taylor expansion of y in y
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.277 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.277 * [backup-simplify]: Simplify (* 1 1) into 1
0.277 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.277 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.278 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.278 * [taylor]: Taking taylor expansion of 1/4 in y
0.278 * [backup-simplify]: Simplify 1/4 into 1/4
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.278 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.278 * [taylor]: Taking taylor expansion of y in y
0.278 * [backup-simplify]: Simplify 0 into 0
0.278 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.279 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.279 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.285 * [backup-simplify]: Simplify (+ 0 0) into 0
0.286 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.286 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.287 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.287 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.287 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.288 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.289 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.289 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.290 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in z
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [taylor]: Taking taylor expansion of 0 in z
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.292 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.293 * [taylor]: Taking taylor expansion of 0 in z
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [taylor]: Taking taylor expansion of 0 in z
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [taylor]: Taking taylor expansion of 0 in z
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.296 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1)
0.296 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.296 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.296 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.296 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.296 * [taylor]: Taking taylor expansion of x in y
0.296 * [backup-simplify]: Simplify x into x
0.296 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.296 * [taylor]: Taking taylor expansion of y in y
0.296 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.297 * [taylor]: Taking taylor expansion of x in x
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.297 * [taylor]: Taking taylor expansion of y in x
0.297 * [backup-simplify]: Simplify y into y
0.297 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.297 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.297 * [taylor]: Taking taylor expansion of x in x
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.297 * [taylor]: Taking taylor expansion of y in x
0.297 * [backup-simplify]: Simplify y into y
0.297 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.297 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.297 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.297 * [taylor]: Taking taylor expansion of y in y
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.298 * [backup-simplify]: Simplify (+ 0 0) into 0
0.298 * [taylor]: Taking taylor expansion of 0 in y
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify (* 1 1) into 1
0.298 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.299 * [backup-simplify]: Simplify (+ 1 0) into 1
0.299 * [taylor]: Taking taylor expansion of 1 in y
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify 1 into 1
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (* 1 1) into 1
0.299 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.301 * [taylor]: Taking taylor expansion of 0 in y
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.302 * [backup-simplify]: Simplify 0 into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.303 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.304 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [taylor]: Taking taylor expansion of 0 in y
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify 0 into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.304 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.304 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.304 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.304 * [taylor]: Taking taylor expansion of x in y
0.304 * [backup-simplify]: Simplify x into x
0.304 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.305 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
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 (* 1 1) into 1
0.305 * [backup-simplify]: Simplify (/ 1 1) into 1
0.305 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.305 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.305 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.306 * [taylor]: Taking taylor expansion of x in x
0.306 * [backup-simplify]: Simplify 0 into 0
0.306 * [backup-simplify]: Simplify 1 into 1
0.306 * [backup-simplify]: Simplify (* 1 1) into 1
0.306 * [backup-simplify]: Simplify (/ 1 1) into 1
0.306 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.306 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.306 * [taylor]: Taking taylor expansion of y in x
0.306 * [backup-simplify]: Simplify y into y
0.306 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.306 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.306 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.307 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.307 * [taylor]: Taking taylor expansion of x in x
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [backup-simplify]: Simplify 1 into 1
0.307 * [backup-simplify]: Simplify (* 1 1) into 1
0.307 * [backup-simplify]: Simplify (/ 1 1) into 1
0.307 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.307 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.307 * [taylor]: Taking taylor expansion of y in x
0.307 * [backup-simplify]: Simplify y into y
0.307 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.308 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.308 * [backup-simplify]: Simplify (+ 1 0) into 1
0.308 * [taylor]: Taking taylor expansion of 1 in y
0.308 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.309 * [backup-simplify]: Simplify (+ 0 0) into 0
0.309 * [taylor]: Taking taylor expansion of 0 in y
0.309 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.311 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.311 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.311 * [taylor]: Taking taylor expansion of y in y
0.311 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify (* 1 1) into 1
0.312 * [backup-simplify]: Simplify (/ 1 1) into 1
0.312 * [backup-simplify]: Simplify 1 into 1
0.312 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.314 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.314 * [backup-simplify]: Simplify (+ 0 0) into 0
0.314 * [taylor]: Taking taylor expansion of 0 in y
0.314 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.315 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.318 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.318 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [taylor]: Taking taylor expansion of 0 in y
0.318 * [backup-simplify]: Simplify 0 into 0
0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.321 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.321 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.321 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.321 * [taylor]: Taking taylor expansion of x in y
0.321 * [backup-simplify]: Simplify x into x
0.321 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.321 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.321 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.321 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.321 * [taylor]: Taking taylor expansion of y in y
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (* 1 1) into 1
0.322 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.322 * [taylor]: Taking taylor expansion of x in x
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (* 1 1) into 1
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.323 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.323 * [taylor]: Taking taylor expansion of y in x
0.323 * [backup-simplify]: Simplify y into y
0.323 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.323 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.323 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.323 * [taylor]: Taking taylor expansion of x in x
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (* 1 1) into 1
0.324 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.324 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.324 * [taylor]: Taking taylor expansion of y in x
0.324 * [backup-simplify]: Simplify y into y
0.324 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.324 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.324 * [backup-simplify]: Simplify (+ 1 0) into 1
0.325 * [taylor]: Taking taylor expansion of 1 in y
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (+ 0 0) into 0
0.326 * [taylor]: Taking taylor expansion of 0 in y
0.326 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.328 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.328 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.328 * [taylor]: Taking taylor expansion of y in y
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify (* 1 1) into 1
0.328 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.331 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [taylor]: Taking taylor expansion of 0 in y
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.334 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [taylor]: Taking taylor expansion of 0 in y
0.335 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [backup-simplify]: Simplify 0 into 0
0.337 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.337 * * * [progress]: simplifying candidates
0.338 * [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)))
  (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 x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.339 * * [simplify]: Extracting # 0 : cost  0
0.339 * * [simplify]: Extracting # 1 : cost  0
0.339 * * [simplify]: Extracting # 2 : cost  0
0.339 * * [simplify]: Extracting # 3 : cost  0
0.339 * * [simplify]: Extracting # 4 : cost  0
0.339 * * [simplify]: Extracting # 5 : cost  0
0.340 * * [simplify]: Extracting # 6 : cost  0
0.340 * * [simplify]: iteration  0 :  63  enodes  (cost  471 )
0.361 * * [simplify]: Extracting # 0 : cost  0
0.362 * * [simplify]: Extracting # 1 : cost  0
0.362 * * [simplify]: Extracting # 2 : cost  0
0.362 * * [simplify]: Extracting # 3 : cost  0
0.362 * * [simplify]: Extracting # 4 : cost  0
0.363 * * [simplify]: iteration  1 :  172  enodes  (cost  417 )
0.429 * * [simplify]: Extracting # 0 : cost  0
0.430 * * [simplify]: Extracting # 1 : cost  0
0.431 * * [simplify]: Extracting # 2 : cost  0
0.431 * * [simplify]: Extracting # 3 : cost  0
0.432 * * [simplify]: Extracting # 4 : cost  0
0.432 * * [simplify]: iteration  2 :  496  enodes  (cost  387 )
0.657 * * [simplify]: Extracting # 0 : cost  0
0.659 * * [simplify]: Extracting # 1 : cost  0
0.661 * * [simplify]: Extracting # 2 : cost  0
0.663 * * [simplify]: Extracting # 3 : cost  0
0.665 * * [simplify]: Extracting # 4 : cost  0
0.667 * * [simplify]: iteration  3 :  1364  enodes  (cost  377 )
1.697 * * [simplify]: Extracting # 0 : cost  0
1.706 * * [simplify]: Extracting # 1 : cost  0
1.714 * * [simplify]: Extracting # 2 : cost  0
1.721 * * [simplify]: Extracting # 3 : cost  0
1.728 * * [simplify]: Extracting # 4 : cost  0
1.734 * * [simplify]: iteration  4 :  4252  enodes  (cost  377 )
3.355 * * [simplify]: Extracting # 0 : cost  0
3.363 * * [simplify]: Extracting # 1 : cost  0
3.372 * * [simplify]: Extracting # 2 : cost  0
3.379 * * [simplify]: Extracting # 3 : cost  0
3.389 * * [simplify]: Extracting # 4 : cost  0
3.394 * * [simplify]: iteration done:  5001  enodes  (cost  377 )
3.394 * [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 (- (pow z 4) (* (+ (* x x) (* y y)) (- (* z z) (+ (* 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)))
  (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))
  (+ (* x x) (* y y))
  (+ (* x x) (* y y))
3.394 * * * [progress]: adding candidates to table
3.491 * * [progress]: iteration 2 / 4
3.491 * * * [progress]: picking best candidate
3.505 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))>
3.505 * * * [progress]: localizing error
3.530 * * * [progress]: generating rewritten candidates
3.530 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
3.700 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2)
3.705 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 2)
3.712 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 1 1)
3.718 * * * [progress]: generating series expansions
3.718 * * * * [progress]: [ 1 / 4 ] generating series at (2)
3.719 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
3.719 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
3.719 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
3.719 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
3.719 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.719 * [taylor]: Taking taylor expansion of x in z
3.719 * [backup-simplify]: Simplify x into x
3.719 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
3.719 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.719 * [taylor]: Taking taylor expansion of y in z
3.719 * [backup-simplify]: Simplify y into y
3.719 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.719 * [taylor]: Taking taylor expansion of z in z
3.719 * [backup-simplify]: Simplify 0 into 0
3.719 * [backup-simplify]: Simplify 1 into 1
3.719 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.719 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.719 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
3.720 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
3.720 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
3.720 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.720 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.720 * [backup-simplify]: Simplify (+ 0 0) into 0
3.721 * [backup-simplify]: Simplify (+ 0 0) into 0
3.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
3.721 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
3.721 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
3.721 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.721 * [taylor]: Taking taylor expansion of x in y
3.721 * [backup-simplify]: Simplify x into x
3.721 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.721 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.721 * [taylor]: Taking taylor expansion of y in y
3.721 * [backup-simplify]: Simplify 0 into 0
3.721 * [backup-simplify]: Simplify 1 into 1
3.721 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.721 * [taylor]: Taking taylor expansion of z in y
3.721 * [backup-simplify]: Simplify z into z
3.721 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.721 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.721 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.721 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.721 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.722 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.722 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.722 * [backup-simplify]: Simplify (+ 0 0) into 0
3.722 * [backup-simplify]: Simplify (+ 0 0) into 0
3.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
3.722 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
3.722 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
3.722 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.722 * [taylor]: Taking taylor expansion of x in x
3.722 * [backup-simplify]: Simplify 0 into 0
3.722 * [backup-simplify]: Simplify 1 into 1
3.722 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
3.722 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.722 * [taylor]: Taking taylor expansion of y in x
3.722 * [backup-simplify]: Simplify y into y
3.722 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.722 * [taylor]: Taking taylor expansion of z in x
3.723 * [backup-simplify]: Simplify z into z
3.723 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.723 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.723 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.723 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
3.723 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.723 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.723 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.723 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
3.724 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
3.724 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.724 * [taylor]: Taking taylor expansion of x in x
3.724 * [backup-simplify]: Simplify 0 into 0
3.724 * [backup-simplify]: Simplify 1 into 1
3.724 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
3.724 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.724 * [taylor]: Taking taylor expansion of y in x
3.724 * [backup-simplify]: Simplify y into y
3.724 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.724 * [taylor]: Taking taylor expansion of z in x
3.724 * [backup-simplify]: Simplify z into z
3.724 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.724 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.724 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.724 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
3.725 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.725 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.725 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.725 * [backup-simplify]: Simplify (+ 0 0) into 0
3.725 * [backup-simplify]: Simplify (+ 0 0) into 0
3.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.726 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.726 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.726 * [taylor]: Taking taylor expansion of y in y
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [backup-simplify]: Simplify 1 into 1
3.726 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.726 * [taylor]: Taking taylor expansion of z in y
3.726 * [backup-simplify]: Simplify z into z
3.726 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.726 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.726 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.726 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.726 * [backup-simplify]: Simplify (+ 0 0) into 0
3.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.726 * [taylor]: Taking taylor expansion of z in z
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [backup-simplify]: Simplify 1 into 1
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [taylor]: Taking taylor expansion of 0 in y
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [taylor]: Taking taylor expansion of 0 in z
3.726 * [backup-simplify]: Simplify 0 into 0
3.726 * [backup-simplify]: Simplify 0 into 0
3.727 * [taylor]: Taking taylor expansion of 0 in z
3.727 * [backup-simplify]: Simplify 0 into 0
3.727 * [backup-simplify]: Simplify 0 into 0
3.727 * [backup-simplify]: Simplify 1 into 1
3.727 * [backup-simplify]: Simplify (* 1 1) into 1
3.727 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.727 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.728 * [backup-simplify]: Simplify (+ 0 0) into 0
3.728 * [backup-simplify]: Simplify (+ 1 0) into 1
3.729 * [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)))))
3.729 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
3.729 * [taylor]: Taking taylor expansion of 1/2 in y
3.729 * [backup-simplify]: Simplify 1/2 into 1/2
3.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.729 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.729 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.729 * [taylor]: Taking taylor expansion of y in y
3.729 * [backup-simplify]: Simplify 0 into 0
3.729 * [backup-simplify]: Simplify 1 into 1
3.729 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.729 * [taylor]: Taking taylor expansion of z in y
3.729 * [backup-simplify]: Simplify z into z
3.729 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.729 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.729 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.729 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.729 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.729 * [backup-simplify]: Simplify (+ 0 0) into 0
3.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.730 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
3.730 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.730 * [taylor]: Taking taylor expansion of 1/2 in z
3.730 * [backup-simplify]: Simplify 1/2 into 1/2
3.730 * [taylor]: Taking taylor expansion of z in z
3.730 * [backup-simplify]: Simplify 0 into 0
3.730 * [backup-simplify]: Simplify 1 into 1
3.730 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.731 * [backup-simplify]: Simplify 0 into 0
3.731 * [taylor]: Taking taylor expansion of 0 in z
3.731 * [backup-simplify]: Simplify 0 into 0
3.731 * [backup-simplify]: Simplify 0 into 0
3.731 * [backup-simplify]: Simplify (* 1 1) into 1
3.732 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.732 * [backup-simplify]: Simplify (+ 1 0) into 1
3.732 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.732 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.732 * [taylor]: Taking taylor expansion of 1/2 in z
3.732 * [backup-simplify]: Simplify 1/2 into 1/2
3.732 * [taylor]: Taking taylor expansion of z in z
3.732 * [backup-simplify]: Simplify 0 into 0
3.732 * [backup-simplify]: Simplify 1 into 1
3.733 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.733 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify 0 into 0
3.733 * [backup-simplify]: Simplify 0 into 0
3.734 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
3.734 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) (cbrt (+ (* (/ 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)))))
3.734 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
3.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
3.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
3.734 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.734 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.734 * [taylor]: Taking taylor expansion of x in z
3.734 * [backup-simplify]: Simplify x into x
3.734 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.735 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
3.735 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.735 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.735 * [taylor]: Taking taylor expansion of z in z
3.735 * [backup-simplify]: Simplify 0 into 0
3.735 * [backup-simplify]: Simplify 1 into 1
3.735 * [backup-simplify]: Simplify (* 1 1) into 1
3.735 * [backup-simplify]: Simplify (/ 1 1) into 1
3.735 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.735 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.735 * [taylor]: Taking taylor expansion of y in z
3.735 * [backup-simplify]: Simplify y into y
3.735 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.735 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.736 * [backup-simplify]: Simplify (+ 1 0) into 1
3.736 * [backup-simplify]: Simplify (+ 0 1) into 1
3.736 * [backup-simplify]: Simplify (sqrt 1) into 1
3.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.737 * [backup-simplify]: Simplify (+ 0 0) into 0
3.737 * [backup-simplify]: Simplify (+ 0 0) into 0
3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
3.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.738 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.738 * [taylor]: Taking taylor expansion of x in y
3.738 * [backup-simplify]: Simplify x into x
3.738 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.738 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.738 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.738 * [taylor]: Taking taylor expansion of z in y
3.738 * [backup-simplify]: Simplify z into z
3.738 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.738 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.738 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.738 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.738 * [taylor]: Taking taylor expansion of y in y
3.738 * [backup-simplify]: Simplify 0 into 0
3.738 * [backup-simplify]: Simplify 1 into 1
3.739 * [backup-simplify]: Simplify (* 1 1) into 1
3.739 * [backup-simplify]: Simplify (/ 1 1) into 1
3.739 * [backup-simplify]: Simplify (+ 0 1) into 1
3.739 * [backup-simplify]: Simplify (+ 0 1) into 1
3.740 * [backup-simplify]: Simplify (sqrt 1) into 1
3.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.741 * [backup-simplify]: Simplify (+ 0 0) into 0
3.741 * [backup-simplify]: Simplify (+ 0 0) into 0
3.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
3.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
3.742 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.742 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.742 * [taylor]: Taking taylor expansion of x in x
3.742 * [backup-simplify]: Simplify 0 into 0
3.742 * [backup-simplify]: Simplify 1 into 1
3.742 * [backup-simplify]: Simplify (* 1 1) into 1
3.742 * [backup-simplify]: Simplify (/ 1 1) into 1
3.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
3.742 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.742 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.742 * [taylor]: Taking taylor expansion of z in x
3.742 * [backup-simplify]: Simplify z into z
3.742 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.742 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.742 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.742 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.742 * [taylor]: Taking taylor expansion of y in x
3.742 * [backup-simplify]: Simplify y into y
3.742 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.743 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.743 * [backup-simplify]: Simplify (+ 1 0) into 1
3.743 * [backup-simplify]: Simplify (sqrt 1) into 1
3.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.745 * [backup-simplify]: Simplify (+ 0 0) into 0
3.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
3.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
3.745 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.745 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.745 * [taylor]: Taking taylor expansion of x in x
3.745 * [backup-simplify]: Simplify 0 into 0
3.745 * [backup-simplify]: Simplify 1 into 1
3.746 * [backup-simplify]: Simplify (* 1 1) into 1
3.746 * [backup-simplify]: Simplify (/ 1 1) into 1
3.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
3.746 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.746 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.746 * [taylor]: Taking taylor expansion of z in x
3.746 * [backup-simplify]: Simplify z into z
3.746 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.746 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.746 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.747 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.747 * [taylor]: Taking taylor expansion of y in x
3.747 * [backup-simplify]: Simplify y into y
3.747 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.747 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.747 * [backup-simplify]: Simplify (+ 1 0) into 1
3.747 * [backup-simplify]: Simplify (sqrt 1) into 1
3.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.748 * [backup-simplify]: Simplify (+ 0 0) into 0
3.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.749 * [taylor]: Taking taylor expansion of 1 in y
3.749 * [backup-simplify]: Simplify 1 into 1
3.749 * [taylor]: Taking taylor expansion of 0 in y
3.749 * [backup-simplify]: Simplify 0 into 0
3.749 * [taylor]: Taking taylor expansion of 1 in z
3.749 * [backup-simplify]: Simplify 1 into 1
3.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.750 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.750 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.751 * [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))))
3.751 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
3.751 * [taylor]: Taking taylor expansion of 1/2 in y
3.752 * [backup-simplify]: Simplify 1/2 into 1/2
3.752 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
3.752 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.752 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.752 * [taylor]: Taking taylor expansion of z in y
3.752 * [backup-simplify]: Simplify z into z
3.752 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.752 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.752 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.752 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.752 * [taylor]: Taking taylor expansion of y in y
3.752 * [backup-simplify]: Simplify 0 into 0
3.752 * [backup-simplify]: Simplify 1 into 1
3.752 * [backup-simplify]: Simplify (* 1 1) into 1
3.752 * [backup-simplify]: Simplify (/ 1 1) into 1
3.753 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.753 * [backup-simplify]: Simplify (+ 0 0) into 0
3.754 * [backup-simplify]: Simplify (+ 0 1) into 1
3.754 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.754 * [taylor]: Taking taylor expansion of 0 in z
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [taylor]: Taking taylor expansion of 0 in z
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [taylor]: Taking taylor expansion of 0 in z
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 1 into 1
3.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.755 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.756 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.756 * [backup-simplify]: Simplify (+ 0 0) into 0
3.756 * [backup-simplify]: Simplify (+ 0 0) into 0
3.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
3.757 * [taylor]: Taking taylor expansion of 0 in y
3.757 * [backup-simplify]: Simplify 0 into 0
3.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.758 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
3.759 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.759 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.759 * [taylor]: Taking taylor expansion of 1/2 in z
3.759 * [backup-simplify]: Simplify 1/2 into 1/2
3.759 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.759 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.759 * [taylor]: Taking taylor expansion of z in z
3.759 * [backup-simplify]: Simplify 0 into 0
3.759 * [backup-simplify]: Simplify 1 into 1
3.759 * [backup-simplify]: Simplify (* 1 1) into 1
3.759 * [backup-simplify]: Simplify (/ 1 1) into 1
3.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.760 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [taylor]: Taking taylor expansion of 0 in z
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [taylor]: Taking taylor expansion of 0 in z
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.762 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.763 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.763 * [backup-simplify]: Simplify (+ 0 0) into 0
3.764 * [backup-simplify]: Simplify (+ 0 0) into 0
3.765 * [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))))))
3.765 * [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
3.765 * [taylor]: Taking taylor expansion of -1/2 in y
3.765 * [backup-simplify]: Simplify -1/2 into -1/2
3.765 * [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
3.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.765 * [taylor]: Taking taylor expansion of 1/4 in y
3.765 * [backup-simplify]: Simplify 1/4 into 1/4
3.765 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.765 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.765 * [taylor]: Taking taylor expansion of z in y
3.765 * [backup-simplify]: Simplify z into z
3.765 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.765 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.765 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.765 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
3.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.765 * [taylor]: Taking taylor expansion of 1/2 in y
3.765 * [backup-simplify]: Simplify 1/2 into 1/2
3.765 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.765 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.765 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.765 * [taylor]: Taking taylor expansion of z in y
3.765 * [backup-simplify]: Simplify z into z
3.765 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.765 * [taylor]: Taking taylor expansion of y in y
3.765 * [backup-simplify]: Simplify 0 into 0
3.765 * [backup-simplify]: Simplify 1 into 1
3.765 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.766 * [backup-simplify]: Simplify (* 1 1) into 1
3.766 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.766 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.766 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.766 * [taylor]: Taking taylor expansion of 1/4 in y
3.766 * [backup-simplify]: Simplify 1/4 into 1/4
3.766 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.766 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.766 * [taylor]: Taking taylor expansion of y in y
3.766 * [backup-simplify]: Simplify 0 into 0
3.766 * [backup-simplify]: Simplify 1 into 1
3.766 * [backup-simplify]: Simplify (* 1 1) into 1
3.766 * [backup-simplify]: Simplify (* 1 1) into 1
3.767 * [backup-simplify]: Simplify (/ 1 1) into 1
3.767 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.767 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.768 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.773 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.773 * [backup-simplify]: Simplify (+ 0 0) into 0
3.774 * [backup-simplify]: Simplify (+ 0 0) into 0
3.774 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.774 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.774 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.775 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
3.775 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.775 * [backup-simplify]: Simplify (+ 0 0) into 0
3.775 * [backup-simplify]: Simplify (+ 0 0) into 0
3.776 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.776 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.776 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.777 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.777 * [taylor]: Taking taylor expansion of 0 in z
3.777 * [backup-simplify]: Simplify 0 into 0
3.777 * [taylor]: Taking taylor expansion of 0 in z
3.777 * [backup-simplify]: Simplify 0 into 0
3.777 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.779 * [backup-simplify]: Simplify (+ 0 0) into 0
3.779 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.779 * [taylor]: Taking taylor expansion of 0 in z
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [taylor]: Taking taylor expansion of 0 in z
3.779 * [backup-simplify]: Simplify 0 into 0
3.780 * [taylor]: Taking taylor expansion of 0 in z
3.780 * [backup-simplify]: Simplify 0 into 0
3.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.781 * [backup-simplify]: Simplify 0 into 0
3.781 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.782 * [backup-simplify]: Simplify (sqrt (+ (* (* (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) (cbrt (+ (* (/ 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)))))
3.782 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
3.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
3.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
3.782 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.782 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.782 * [taylor]: Taking taylor expansion of x in z
3.782 * [backup-simplify]: Simplify x into x
3.782 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.783 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
3.783 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.783 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.783 * [taylor]: Taking taylor expansion of z in z
3.783 * [backup-simplify]: Simplify 0 into 0
3.783 * [backup-simplify]: Simplify 1 into 1
3.783 * [backup-simplify]: Simplify (* 1 1) into 1
3.783 * [backup-simplify]: Simplify (/ 1 1) into 1
3.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.783 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.783 * [taylor]: Taking taylor expansion of y in z
3.783 * [backup-simplify]: Simplify y into y
3.783 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.783 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.784 * [backup-simplify]: Simplify (+ 1 0) into 1
3.784 * [backup-simplify]: Simplify (+ 0 1) into 1
3.784 * [backup-simplify]: Simplify (sqrt 1) into 1
3.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.785 * [backup-simplify]: Simplify (+ 0 0) into 0
3.785 * [backup-simplify]: Simplify (+ 0 0) into 0
3.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.786 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
3.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.786 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.786 * [taylor]: Taking taylor expansion of x in y
3.786 * [backup-simplify]: Simplify x into x
3.786 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.786 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.786 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.786 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.786 * [taylor]: Taking taylor expansion of z in y
3.786 * [backup-simplify]: Simplify z into z
3.786 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.786 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.786 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.786 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.786 * [taylor]: Taking taylor expansion of y in y
3.786 * [backup-simplify]: Simplify 0 into 0
3.786 * [backup-simplify]: Simplify 1 into 1
3.787 * [backup-simplify]: Simplify (* 1 1) into 1
3.787 * [backup-simplify]: Simplify (/ 1 1) into 1
3.787 * [backup-simplify]: Simplify (+ 0 1) into 1
3.787 * [backup-simplify]: Simplify (+ 0 1) into 1
3.788 * [backup-simplify]: Simplify (sqrt 1) into 1
3.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.789 * [backup-simplify]: Simplify (+ 0 0) into 0
3.789 * [backup-simplify]: Simplify (+ 0 0) into 0
3.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
3.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
3.790 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.790 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.790 * [taylor]: Taking taylor expansion of x in x
3.790 * [backup-simplify]: Simplify 0 into 0
3.790 * [backup-simplify]: Simplify 1 into 1
3.790 * [backup-simplify]: Simplify (* 1 1) into 1
3.791 * [backup-simplify]: Simplify (/ 1 1) into 1
3.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
3.791 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.791 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.791 * [taylor]: Taking taylor expansion of z in x
3.791 * [backup-simplify]: Simplify z into z
3.791 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.791 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.791 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.791 * [taylor]: Taking taylor expansion of y in x
3.791 * [backup-simplify]: Simplify y into y
3.791 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.791 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.792 * [backup-simplify]: Simplify (+ 1 0) into 1
3.792 * [backup-simplify]: Simplify (sqrt 1) into 1
3.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.794 * [backup-simplify]: Simplify (+ 0 0) into 0
3.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.794 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
3.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
3.794 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.794 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.794 * [taylor]: Taking taylor expansion of x in x
3.795 * [backup-simplify]: Simplify 0 into 0
3.795 * [backup-simplify]: Simplify 1 into 1
3.795 * [backup-simplify]: Simplify (* 1 1) into 1
3.795 * [backup-simplify]: Simplify (/ 1 1) into 1
3.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
3.795 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.795 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.795 * [taylor]: Taking taylor expansion of z in x
3.795 * [backup-simplify]: Simplify z into z
3.795 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.796 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.796 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.796 * [taylor]: Taking taylor expansion of y in x
3.796 * [backup-simplify]: Simplify y into y
3.796 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.796 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.796 * [backup-simplify]: Simplify (+ 1 0) into 1
3.797 * [backup-simplify]: Simplify (sqrt 1) into 1
3.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.798 * [backup-simplify]: Simplify (+ 0 0) into 0
3.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.799 * [taylor]: Taking taylor expansion of 1 in y
3.799 * [backup-simplify]: Simplify 1 into 1
3.799 * [taylor]: Taking taylor expansion of 0 in y
3.799 * [backup-simplify]: Simplify 0 into 0
3.799 * [taylor]: Taking taylor expansion of 1 in z
3.799 * [backup-simplify]: Simplify 1 into 1
3.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.801 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.801 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.803 * [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))))
3.803 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
3.803 * [taylor]: Taking taylor expansion of 1/2 in y
3.803 * [backup-simplify]: Simplify 1/2 into 1/2
3.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
3.803 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.803 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.803 * [taylor]: Taking taylor expansion of z in y
3.803 * [backup-simplify]: Simplify z into z
3.803 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.803 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.803 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.803 * [taylor]: Taking taylor expansion of y in y
3.803 * [backup-simplify]: Simplify 0 into 0
3.803 * [backup-simplify]: Simplify 1 into 1
3.804 * [backup-simplify]: Simplify (* 1 1) into 1
3.804 * [backup-simplify]: Simplify (/ 1 1) into 1
3.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.809 * [backup-simplify]: Simplify (+ 0 0) into 0
3.810 * [backup-simplify]: Simplify (+ 0 1) into 1
3.810 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.810 * [taylor]: Taking taylor expansion of 0 in z
3.810 * [backup-simplify]: Simplify 0 into 0
3.811 * [taylor]: Taking taylor expansion of 0 in z
3.811 * [backup-simplify]: Simplify 0 into 0
3.811 * [taylor]: Taking taylor expansion of 0 in z
3.811 * [backup-simplify]: Simplify 0 into 0
3.811 * [backup-simplify]: Simplify 1 into 1
3.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.812 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.812 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.813 * [backup-simplify]: Simplify (+ 0 0) into 0
3.813 * [backup-simplify]: Simplify (+ 0 0) into 0
3.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
3.814 * [taylor]: Taking taylor expansion of 0 in y
3.814 * [backup-simplify]: Simplify 0 into 0
3.814 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.815 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
3.815 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.815 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.815 * [taylor]: Taking taylor expansion of 1/2 in z
3.815 * [backup-simplify]: Simplify 1/2 into 1/2
3.815 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.815 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.815 * [taylor]: Taking taylor expansion of z in z
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 1 into 1
3.816 * [backup-simplify]: Simplify (* 1 1) into 1
3.816 * [backup-simplify]: Simplify (/ 1 1) into 1
3.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.817 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [taylor]: Taking taylor expansion of 0 in z
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [taylor]: Taking taylor expansion of 0 in z
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.817 * [backup-simplify]: Simplify 0 into 0
3.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.819 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.819 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.820 * [backup-simplify]: Simplify (+ 0 0) into 0
3.820 * [backup-simplify]: Simplify (+ 0 0) into 0
3.821 * [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))))))
3.821 * [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
3.821 * [taylor]: Taking taylor expansion of -1/2 in y
3.821 * [backup-simplify]: Simplify -1/2 into -1/2
3.821 * [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
3.821 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.821 * [taylor]: Taking taylor expansion of 1/4 in y
3.821 * [backup-simplify]: Simplify 1/4 into 1/4
3.821 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.821 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.821 * [taylor]: Taking taylor expansion of z in y
3.821 * [backup-simplify]: Simplify z into z
3.821 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.821 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.822 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.822 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
3.822 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.822 * [taylor]: Taking taylor expansion of 1/2 in y
3.822 * [backup-simplify]: Simplify 1/2 into 1/2
3.822 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.822 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.822 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.822 * [taylor]: Taking taylor expansion of z in y
3.822 * [backup-simplify]: Simplify z into z
3.822 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.822 * [taylor]: Taking taylor expansion of y in y
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.822 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.822 * [backup-simplify]: Simplify (* 1 1) into 1
3.822 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.822 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.822 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.822 * [taylor]: Taking taylor expansion of 1/4 in y
3.822 * [backup-simplify]: Simplify 1/4 into 1/4
3.822 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.822 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.822 * [taylor]: Taking taylor expansion of y in y
3.822 * [backup-simplify]: Simplify 0 into 0
3.822 * [backup-simplify]: Simplify 1 into 1
3.823 * [backup-simplify]: Simplify (* 1 1) into 1
3.823 * [backup-simplify]: Simplify (* 1 1) into 1
3.823 * [backup-simplify]: Simplify (/ 1 1) into 1
3.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.824 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.824 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.829 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.830 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [backup-simplify]: Simplify (+ 0 0) into 0
3.830 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.831 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.831 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.831 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
3.832 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.832 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.833 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.833 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.834 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.834 * [taylor]: Taking taylor expansion of 0 in z
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [taylor]: Taking taylor expansion of 0 in z
3.834 * [backup-simplify]: Simplify 0 into 0
3.834 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.834 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.836 * [backup-simplify]: Simplify (+ 0 0) into 0
3.836 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.836 * [taylor]: Taking taylor expansion of 0 in z
3.836 * [backup-simplify]: Simplify 0 into 0
3.836 * [taylor]: Taking taylor expansion of 0 in z
3.836 * [backup-simplify]: Simplify 0 into 0
3.837 * [taylor]: Taking taylor expansion of 0 in z
3.837 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.838 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.838 * [backup-simplify]: Simplify 0 into 0
3.838 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.838 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2)
3.838 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3)
3.838 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0
3.838 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y
3.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y
3.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y
3.839 * [taylor]: Taking taylor expansion of 1/3 in y
3.839 * [backup-simplify]: Simplify 1/3 into 1/3
3.839 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y
3.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.839 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.839 * [taylor]: Taking taylor expansion of x in y
3.839 * [backup-simplify]: Simplify x into x
3.839 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.839 * [taylor]: Taking taylor expansion of y in y
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 1 into 1
3.839 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.839 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.839 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
3.839 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2)))
3.839 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3)
3.839 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x
3.839 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x
3.839 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x
3.839 * [taylor]: Taking taylor expansion of 1/3 in x
3.839 * [backup-simplify]: Simplify 1/3 into 1/3
3.839 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
3.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.839 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.839 * [taylor]: Taking taylor expansion of x in x
3.839 * [backup-simplify]: Simplify 0 into 0
3.839 * [backup-simplify]: Simplify 1 into 1
3.839 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.839 * [taylor]: Taking taylor expansion of y in x
3.839 * [backup-simplify]: Simplify y into y
3.839 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.840 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.840 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
3.840 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2)))
3.840 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3)
3.840 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x
3.840 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x
3.840 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x
3.840 * [taylor]: Taking taylor expansion of 1/3 in x
3.840 * [backup-simplify]: Simplify 1/3 into 1/3
3.840 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
3.840 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.840 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.840 * [taylor]: Taking taylor expansion of x in x
3.840 * [backup-simplify]: Simplify 0 into 0
3.840 * [backup-simplify]: Simplify 1 into 1
3.840 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.840 * [taylor]: Taking taylor expansion of y in x
3.840 * [backup-simplify]: Simplify y into y
3.840 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.840 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.840 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
3.840 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2)))
3.840 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3)
3.841 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y
3.841 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y
3.841 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y
3.841 * [taylor]: Taking taylor expansion of 1/3 in y
3.841 * [backup-simplify]: Simplify 1/3 into 1/3
3.841 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y
3.841 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.841 * [taylor]: Taking taylor expansion of y in y
3.841 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify 1 into 1
3.841 * [backup-simplify]: Simplify (* 1 1) into 1
3.841 * [backup-simplify]: Simplify (log 1) into 0
3.841 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
3.842 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y))
3.842 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3)
3.842 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3)
3.842 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.842 * [backup-simplify]: Simplify (+ 0 0) into 0
3.843 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0
3.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0
3.843 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.843 * [taylor]: Taking taylor expansion of 0 in y
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.845 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.845 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
3.845 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0
3.846 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
3.846 * [backup-simplify]: Simplify 0 into 0
3.846 * [backup-simplify]: Simplify (* 1 1) into 1
3.846 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.847 * [backup-simplify]: Simplify (+ 1 0) into 1
3.848 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2))
3.849 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2)))
3.850 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
3.850 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y
3.850 * [taylor]: Taking taylor expansion of 1/3 in y
3.850 * [backup-simplify]: Simplify 1/3 into 1/3
3.850 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y
3.850 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y
3.850 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y
3.850 * [taylor]: Taking taylor expansion of 1/3 in y
3.850 * [backup-simplify]: Simplify 1/3 into 1/3
3.850 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y
3.850 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.850 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.850 * [taylor]: Taking taylor expansion of y in y
3.850 * [backup-simplify]: Simplify 0 into 0
3.850 * [backup-simplify]: Simplify 1 into 1
3.851 * [backup-simplify]: Simplify (* 1 1) into 1
3.851 * [backup-simplify]: Simplify (* 1 1) into 1
3.851 * [backup-simplify]: Simplify (/ 1 1) into 1
3.852 * [backup-simplify]: Simplify (log 1) into 0
3.852 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y)))
3.852 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y))
3.852 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3)
3.852 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
3.853 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
3.853 * [backup-simplify]: Simplify 0 into 0
3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.856 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.856 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
3.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0
3.858 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.858 * [backup-simplify]: Simplify 0 into 0
3.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.860 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.860 * [backup-simplify]: Simplify (+ 0 0) into 0
3.863 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0
3.864 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0
3.866 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.866 * [taylor]: Taking taylor expansion of 0 in y
3.866 * [backup-simplify]: Simplify 0 into 0
3.866 * [backup-simplify]: Simplify 0 into 0
3.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.869 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.869 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y)))
3.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0
3.870 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
3.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0
3.870 * [backup-simplify]: Simplify 0 into 0
3.871 * [backup-simplify]: Simplify 0 into 0
3.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.874 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.874 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
3.875 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0
3.876 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
3.876 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)
3.876 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0
3.876 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y
3.876 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
3.876 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
3.877 * [taylor]: Taking taylor expansion of 1/3 in y
3.877 * [backup-simplify]: Simplify 1/3 into 1/3
3.877 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.877 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.877 * [taylor]: Taking taylor expansion of x in y
3.877 * [backup-simplify]: Simplify x into x
3.877 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.877 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.877 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.877 * [taylor]: Taking taylor expansion of y in y
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [backup-simplify]: Simplify (* 1 1) into 1
3.877 * [backup-simplify]: Simplify (/ 1 1) into 1
3.878 * [backup-simplify]: Simplify (+ 0 1) into 1
3.878 * [backup-simplify]: Simplify (log 1) into 0
3.878 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
3.878 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y))
3.878 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3)
3.878 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
3.878 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
3.878 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
3.878 * [taylor]: Taking taylor expansion of 1/3 in x
3.878 * [backup-simplify]: Simplify 1/3 into 1/3
3.878 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.878 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.878 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.878 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.878 * [taylor]: Taking taylor expansion of x in x
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.879 * [backup-simplify]: Simplify (* 1 1) into 1
3.879 * [backup-simplify]: Simplify (/ 1 1) into 1
3.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.879 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.879 * [taylor]: Taking taylor expansion of y in x
3.879 * [backup-simplify]: Simplify y into y
3.879 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.879 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.879 * [backup-simplify]: Simplify (+ 1 0) into 1
3.880 * [backup-simplify]: Simplify (log 1) into 0
3.880 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.880 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
3.880 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.880 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
3.880 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
3.880 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
3.880 * [taylor]: Taking taylor expansion of 1/3 in x
3.880 * [backup-simplify]: Simplify 1/3 into 1/3
3.880 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.880 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.880 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.880 * [taylor]: Taking taylor expansion of x in x
3.880 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify 1 into 1
3.881 * [backup-simplify]: Simplify (* 1 1) into 1
3.881 * [backup-simplify]: Simplify (/ 1 1) into 1
3.881 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.881 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.881 * [taylor]: Taking taylor expansion of y in x
3.881 * [backup-simplify]: Simplify y into y
3.881 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.881 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.882 * [backup-simplify]: Simplify (+ 1 0) into 1
3.882 * [backup-simplify]: Simplify (log 1) into 0
3.882 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.882 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
3.883 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.883 * [taylor]: Taking taylor expansion of (pow x -2/3) in y
3.883 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y
3.883 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y
3.883 * [taylor]: Taking taylor expansion of -2/3 in y
3.883 * [backup-simplify]: Simplify -2/3 into -2/3
3.883 * [taylor]: Taking taylor expansion of (log x) in y
3.883 * [taylor]: Taking taylor expansion of x in y
3.883 * [backup-simplify]: Simplify x into x
3.883 * [backup-simplify]: Simplify (log x) into (log x)
3.883 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x))
3.883 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.883 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3)
3.884 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.885 * [backup-simplify]: Simplify (+ 0 0) into 0
3.886 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.886 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.887 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0
3.888 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.888 * [taylor]: Taking taylor expansion of 0 in y
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
3.888 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0
3.889 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.889 * [backup-simplify]: Simplify 0 into 0
3.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.890 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.891 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
3.892 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.892 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2)))
3.893 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))))
3.893 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y
3.893 * [taylor]: Taking taylor expansion of 1/3 in y
3.893 * [backup-simplify]: Simplify 1/3 into 1/3
3.893 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y
3.893 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y
3.893 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y
3.893 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y
3.893 * [taylor]: Taking taylor expansion of 1/3 in y
3.893 * [backup-simplify]: Simplify 1/3 into 1/3
3.893 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y
3.893 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.893 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.893 * [taylor]: Taking taylor expansion of x in y
3.893 * [backup-simplify]: Simplify x into x
3.893 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.893 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.893 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2)))
3.893 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2))))
3.894 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3)
3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.894 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.894 * [taylor]: Taking taylor expansion of y in y
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (* 1 1) into 1
3.894 * [backup-simplify]: Simplify (/ 1 1) into 1
3.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.896 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.896 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.897 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0
3.897 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0
3.898 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.898 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
3.900 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0
3.900 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0
3.901 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.902 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
3.902 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0
3.902 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3)
3.903 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
3.904 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
3.905 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.905 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.906 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.907 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.909 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.910 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
3.915 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.915 * [taylor]: Taking taylor expansion of 0 in y
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify 0 into 0
3.915 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3)
3.915 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)
3.916 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0
3.916 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y
3.916 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
3.916 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
3.916 * [taylor]: Taking taylor expansion of 1/3 in y
3.916 * [backup-simplify]: Simplify 1/3 into 1/3
3.916 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.916 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.916 * [taylor]: Taking taylor expansion of x in y
3.916 * [backup-simplify]: Simplify x into x
3.916 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.916 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.916 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.916 * [taylor]: Taking taylor expansion of y in y
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [backup-simplify]: Simplify (* 1 1) into 1
3.917 * [backup-simplify]: Simplify (/ 1 1) into 1
3.917 * [backup-simplify]: Simplify (+ 0 1) into 1
3.917 * [backup-simplify]: Simplify (log 1) into 0
3.917 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
3.917 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y))
3.918 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3)
3.918 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
3.918 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
3.918 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
3.918 * [taylor]: Taking taylor expansion of 1/3 in x
3.918 * [backup-simplify]: Simplify 1/3 into 1/3
3.918 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.918 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.918 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.918 * [taylor]: Taking taylor expansion of x in x
3.918 * [backup-simplify]: Simplify 0 into 0
3.918 * [backup-simplify]: Simplify 1 into 1
3.918 * [backup-simplify]: Simplify (* 1 1) into 1
3.918 * [backup-simplify]: Simplify (/ 1 1) into 1
3.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.918 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.918 * [taylor]: Taking taylor expansion of y in x
3.918 * [backup-simplify]: Simplify y into y
3.918 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.918 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.919 * [backup-simplify]: Simplify (+ 1 0) into 1
3.919 * [backup-simplify]: Simplify (log 1) into 0
3.919 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.919 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
3.919 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.919 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
3.919 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
3.919 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
3.919 * [taylor]: Taking taylor expansion of 1/3 in x
3.919 * [backup-simplify]: Simplify 1/3 into 1/3
3.920 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.920 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.920 * [taylor]: Taking taylor expansion of x in x
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 1 into 1
3.920 * [backup-simplify]: Simplify (* 1 1) into 1
3.920 * [backup-simplify]: Simplify (/ 1 1) into 1
3.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.920 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.920 * [taylor]: Taking taylor expansion of y in x
3.920 * [backup-simplify]: Simplify y into y
3.920 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.920 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.921 * [backup-simplify]: Simplify (+ 1 0) into 1
3.921 * [backup-simplify]: Simplify (log 1) into 0
3.921 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.921 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
3.921 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.921 * [taylor]: Taking taylor expansion of (pow x -2/3) in y
3.921 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y
3.921 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y
3.921 * [taylor]: Taking taylor expansion of -2/3 in y
3.921 * [backup-simplify]: Simplify -2/3 into -2/3
3.921 * [taylor]: Taking taylor expansion of (log x) in y
3.921 * [taylor]: Taking taylor expansion of x in y
3.921 * [backup-simplify]: Simplify x into x
3.921 * [backup-simplify]: Simplify (log x) into (log x)
3.922 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x))
3.922 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.922 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3)
3.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.923 * [backup-simplify]: Simplify (+ 0 0) into 0
3.924 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.924 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.924 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0
3.925 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.925 * [taylor]: Taking taylor expansion of 0 in y
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
3.926 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0
3.926 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.926 * [backup-simplify]: Simplify 0 into 0
3.927 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.927 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.928 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
3.929 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.929 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2)))
3.930 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))))
3.930 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y
3.930 * [taylor]: Taking taylor expansion of 1/3 in y
3.930 * [backup-simplify]: Simplify 1/3 into 1/3
3.930 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y
3.930 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y
3.930 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y
3.930 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y
3.930 * [taylor]: Taking taylor expansion of 1/3 in y
3.930 * [backup-simplify]: Simplify 1/3 into 1/3
3.930 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y
3.930 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.930 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.930 * [taylor]: Taking taylor expansion of x in y
3.930 * [backup-simplify]: Simplify x into x
3.930 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.930 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.930 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2)))
3.930 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2))))
3.930 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3)
3.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.931 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.931 * [taylor]: Taking taylor expansion of y in y
3.931 * [backup-simplify]: Simplify 0 into 0
3.931 * [backup-simplify]: Simplify 1 into 1
3.931 * [backup-simplify]: Simplify (* 1 1) into 1
3.931 * [backup-simplify]: Simplify (/ 1 1) into 1
3.932 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.932 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.933 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.934 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0
3.934 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0
3.935 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
3.935 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
3.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
3.937 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0
3.937 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0
3.938 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.939 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
3.939 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0
3.939 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3)
3.940 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 0 into 0
3.941 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
3.942 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
3.942 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.943 * [backup-simplify]: Simplify 0 into 0
3.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.944 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.944 * [backup-simplify]: Simplify (+ 0 0) into 0
3.946 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.947 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.947 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
3.949 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.949 * [taylor]: Taking taylor expansion of 0 in y
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3)
3.949 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 2)
3.949 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3)
3.949 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0
3.949 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y
3.949 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y
3.949 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y
3.949 * [taylor]: Taking taylor expansion of 1/3 in y
3.949 * [backup-simplify]: Simplify 1/3 into 1/3
3.949 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y
3.949 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
3.949 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.949 * [taylor]: Taking taylor expansion of x in y
3.949 * [backup-simplify]: Simplify x into x
3.949 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.949 * [taylor]: Taking taylor expansion of y in y
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 1 into 1
3.949 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.949 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.950 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
3.950 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2)))
3.950 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3)
3.950 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x
3.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x
3.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x
3.950 * [taylor]: Taking taylor expansion of 1/3 in x
3.950 * [backup-simplify]: Simplify 1/3 into 1/3
3.950 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
3.950 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.950 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.950 * [taylor]: Taking taylor expansion of x in x
3.950 * [backup-simplify]: Simplify 0 into 0
3.950 * [backup-simplify]: Simplify 1 into 1
3.950 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.950 * [taylor]: Taking taylor expansion of y in x
3.950 * [backup-simplify]: Simplify y into y
3.950 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.950 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.950 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
3.950 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2)))
3.950 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3)
3.950 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x
3.950 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x
3.950 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x
3.950 * [taylor]: Taking taylor expansion of 1/3 in x
3.951 * [backup-simplify]: Simplify 1/3 into 1/3
3.951 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
3.951 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
3.951 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.951 * [taylor]: Taking taylor expansion of x in x
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 1 into 1
3.951 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.951 * [taylor]: Taking taylor expansion of y in x
3.951 * [backup-simplify]: Simplify y into y
3.951 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.951 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.951 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
3.951 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2)))
3.951 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3)
3.951 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y
3.951 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y
3.951 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y
3.951 * [taylor]: Taking taylor expansion of 1/3 in y
3.951 * [backup-simplify]: Simplify 1/3 into 1/3
3.951 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y
3.951 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.951 * [taylor]: Taking taylor expansion of y in y
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 1 into 1
3.952 * [backup-simplify]: Simplify (* 1 1) into 1
3.952 * [backup-simplify]: Simplify (log 1) into 0
3.952 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
3.952 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y))
3.952 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3)
3.952 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3)
3.952 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.953 * [backup-simplify]: Simplify (+ 0 0) into 0
3.953 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0
3.954 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0
3.954 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
3.954 * [taylor]: Taking taylor expansion of 0 in y
3.954 * [backup-simplify]: Simplify 0 into 0
3.954 * [backup-simplify]: Simplify 0 into 0
3.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.955 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.956 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
3.956 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0
3.956 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
3.956 * [backup-simplify]: Simplify 0 into 0
3.957 * [backup-simplify]: Simplify (* 1 1) into 1
3.957 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.957 * [backup-simplify]: Simplify (+ 1 0) into 1
3.958 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2))
3.959 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2)))
3.959 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
3.960 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y
3.960 * [taylor]: Taking taylor expansion of 1/3 in y
3.960 * [backup-simplify]: Simplify 1/3 into 1/3
3.960 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y
3.960 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y
3.960 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y
3.960 * [taylor]: Taking taylor expansion of 1/3 in y
3.960 * [backup-simplify]: Simplify 1/3 into 1/3
3.960 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y
3.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.960 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.960 * [taylor]: Taking taylor expansion of y in y
3.960 * [backup-simplify]: Simplify 0 into 0
3.960 * [backup-simplify]: Simplify 1 into 1
3.960 * [backup-simplify]: Simplify (* 1 1) into 1
3.960 * [backup-simplify]: Simplify (* 1 1) into 1
3.960 * [backup-simplify]: Simplify (/ 1 1) into 1
3.961 * [backup-simplify]: Simplify (log 1) into 0
3.961 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y)))
3.961 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y))
3.961 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3)
3.961 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
3.961 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
3.961 * [backup-simplify]: Simplify 0 into 0
3.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.964 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
3.964 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
3.964 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0
3.965 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
3.965 * [backup-simplify]: Simplify 0 into 0
3.966 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.966 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
3.966 * [backup-simplify]: Simplify (+ 0 0) into 0
3.968 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0
3.969 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0
3.970 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.970 * [taylor]: Taking taylor expansion of 0 in y
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 0 into 0
3.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.973 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.973 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y)))
3.973 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0
3.974 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
3.974 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify 0 into 0
3.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.978 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
3.978 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
3.979 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0
3.980 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
3.980 * [backup-simplify]: Simplify 0 into 0
3.980 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
3.981 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)
3.981 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0
3.981 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y
3.981 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
3.981 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
3.981 * [taylor]: Taking taylor expansion of 1/3 in y
3.981 * [backup-simplify]: Simplify 1/3 into 1/3
3.981 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
3.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
3.981 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.981 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.981 * [taylor]: Taking taylor expansion of x in y
3.981 * [backup-simplify]: Simplify x into x
3.981 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.981 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.981 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.981 * [taylor]: Taking taylor expansion of y in y
3.981 * [backup-simplify]: Simplify 0 into 0
3.981 * [backup-simplify]: Simplify 1 into 1
3.981 * [backup-simplify]: Simplify (* 1 1) into 1
3.981 * [backup-simplify]: Simplify (/ 1 1) into 1
3.982 * [backup-simplify]: Simplify (+ 0 1) into 1
3.982 * [backup-simplify]: Simplify (log 1) into 0
3.982 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
3.983 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y))
3.983 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3)
3.983 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
3.983 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
3.983 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
3.983 * [taylor]: Taking taylor expansion of 1/3 in x
3.983 * [backup-simplify]: Simplify 1/3 into 1/3
3.983 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.983 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.983 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.983 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.983 * [taylor]: Taking taylor expansion of x in x
3.983 * [backup-simplify]: Simplify 0 into 0
3.983 * [backup-simplify]: Simplify 1 into 1
3.983 * [backup-simplify]: Simplify (* 1 1) into 1
3.983 * [backup-simplify]: Simplify (/ 1 1) into 1
3.983 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.983 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.983 * [taylor]: Taking taylor expansion of y in x
3.983 * [backup-simplify]: Simplify y into y
3.983 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.984 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.984 * [backup-simplify]: Simplify (+ 1 0) into 1
3.984 * [backup-simplify]: Simplify (log 1) into 0
3.984 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.984 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
3.984 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.984 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
3.985 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
3.985 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
3.985 * [taylor]: Taking taylor expansion of 1/3 in x
3.985 * [backup-simplify]: Simplify 1/3 into 1/3
3.985 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
3.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.985 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.985 * [taylor]: Taking taylor expansion of x in x
3.985 * [backup-simplify]: Simplify 0 into 0
3.985 * [backup-simplify]: Simplify 1 into 1
3.985 * [backup-simplify]: Simplify (* 1 1) into 1
3.985 * [backup-simplify]: Simplify (/ 1 1) into 1
3.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.985 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.985 * [taylor]: Taking taylor expansion of y in x
3.985 * [backup-simplify]: Simplify y into y
3.985 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.986 * [backup-simplify]: Simplify (+ 1 0) into 1
3.986 * [backup-simplify]: Simplify (log 1) into 0
3.986 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.986 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
3.986 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.986 * [taylor]: Taking taylor expansion of (pow x -2/3) in y
3.986 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y
3.986 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y
3.986 * [taylor]: Taking taylor expansion of -2/3 in y
3.986 * [backup-simplify]: Simplify -2/3 into -2/3
3.986 * [taylor]: Taking taylor expansion of (log x) in y
3.987 * [taylor]: Taking taylor expansion of x in y
3.987 * [backup-simplify]: Simplify x into x
3.987 * [backup-simplify]: Simplify (log x) into (log x)
3.987 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x))
3.987 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
3.987 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3)
3.987 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.988 * [backup-simplify]: Simplify (+ 0 0) into 0
3.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
3.989 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.989 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0
3.990 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.990 * [taylor]: Taking taylor expansion of 0 in y
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify 0 into 0
3.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
3.991 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0
3.991 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
3.991 * [backup-simplify]: Simplify 0 into 0
3.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.992 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.994 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
3.994 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
3.994 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2)))
3.995 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))))
3.995 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y
3.995 * [taylor]: Taking taylor expansion of 1/3 in y
3.995 * [backup-simplify]: Simplify 1/3 into 1/3
3.995 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y
3.995 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y
3.995 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y
3.995 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y
3.995 * [taylor]: Taking taylor expansion of 1/3 in y
3.995 * [backup-simplify]: Simplify 1/3 into 1/3
3.995 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y
3.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.995 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.995 * [taylor]: Taking taylor expansion of x in y
3.995 * [backup-simplify]: Simplify x into x
3.995 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.995 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.995 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2)))
3.996 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2))))
3.996 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3)
3.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.996 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.996 * [taylor]: Taking taylor expansion of y in y
3.996 * [backup-simplify]: Simplify 0 into 0
3.996 * [backup-simplify]: Simplify 1 into 1
3.996 * [backup-simplify]: Simplify (* 1 1) into 1
3.996 * [backup-simplify]: Simplify (/ 1 1) into 1
3.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.998 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
3.999 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0
3.999 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0
4.000 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.000 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.002 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0
4.002 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0
4.003 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.004 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
4.004 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0
4.004 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3)
4.005 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0
4.005 * [backup-simplify]: Simplify 0 into 0
4.005 * [backup-simplify]: Simplify 0 into 0
4.006 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.006 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.007 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.007 * [backup-simplify]: Simplify 0 into 0
4.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.008 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.009 * [backup-simplify]: Simplify (+ 0 0) into 0
4.014 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.014 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.015 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
4.016 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.016 * [taylor]: Taking taylor expansion of 0 in y
4.016 * [backup-simplify]: Simplify 0 into 0
4.016 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3)
4.017 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)
4.017 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0
4.017 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y
4.017 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
4.017 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
4.017 * [taylor]: Taking taylor expansion of 1/3 in y
4.017 * [backup-simplify]: Simplify 1/3 into 1/3
4.017 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.017 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.017 * [taylor]: Taking taylor expansion of x in y
4.017 * [backup-simplify]: Simplify x into x
4.017 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.017 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.017 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.017 * [taylor]: Taking taylor expansion of y in y
4.017 * [backup-simplify]: Simplify 0 into 0
4.017 * [backup-simplify]: Simplify 1 into 1
4.018 * [backup-simplify]: Simplify (* 1 1) into 1
4.018 * [backup-simplify]: Simplify (/ 1 1) into 1
4.018 * [backup-simplify]: Simplify (+ 0 1) into 1
4.018 * [backup-simplify]: Simplify (log 1) into 0
4.019 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
4.019 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y))
4.019 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3)
4.019 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
4.019 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
4.019 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.019 * [taylor]: Taking taylor expansion of 1/3 in x
4.019 * [backup-simplify]: Simplify 1/3 into 1/3
4.019 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.019 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.019 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.019 * [taylor]: Taking taylor expansion of x in x
4.019 * [backup-simplify]: Simplify 0 into 0
4.019 * [backup-simplify]: Simplify 1 into 1
4.019 * [backup-simplify]: Simplify (* 1 1) into 1
4.020 * [backup-simplify]: Simplify (/ 1 1) into 1
4.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.020 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.020 * [taylor]: Taking taylor expansion of y in x
4.020 * [backup-simplify]: Simplify y into y
4.020 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.020 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.020 * [backup-simplify]: Simplify (+ 1 0) into 1
4.020 * [backup-simplify]: Simplify (log 1) into 0
4.021 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.021 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
4.021 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.021 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
4.021 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
4.021 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.021 * [taylor]: Taking taylor expansion of 1/3 in x
4.021 * [backup-simplify]: Simplify 1/3 into 1/3
4.021 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.021 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.021 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.021 * [taylor]: Taking taylor expansion of x in x
4.021 * [backup-simplify]: Simplify 0 into 0
4.021 * [backup-simplify]: Simplify 1 into 1
4.021 * [backup-simplify]: Simplify (* 1 1) into 1
4.021 * [backup-simplify]: Simplify (/ 1 1) into 1
4.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.021 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.022 * [taylor]: Taking taylor expansion of y in x
4.022 * [backup-simplify]: Simplify y into y
4.022 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.022 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.022 * [backup-simplify]: Simplify (+ 1 0) into 1
4.022 * [backup-simplify]: Simplify (log 1) into 0
4.022 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.023 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
4.023 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.023 * [taylor]: Taking taylor expansion of (pow x -2/3) in y
4.023 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y
4.023 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y
4.023 * [taylor]: Taking taylor expansion of -2/3 in y
4.023 * [backup-simplify]: Simplify -2/3 into -2/3
4.023 * [taylor]: Taking taylor expansion of (log x) in y
4.023 * [taylor]: Taking taylor expansion of x in y
4.023 * [backup-simplify]: Simplify x into x
4.023 * [backup-simplify]: Simplify (log x) into (log x)
4.023 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x))
4.023 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.023 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3)
4.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.024 * [backup-simplify]: Simplify (+ 0 0) into 0
4.025 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.025 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.026 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0
4.026 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
4.026 * [taylor]: Taking taylor expansion of 0 in y
4.026 * [backup-simplify]: Simplify 0 into 0
4.026 * [backup-simplify]: Simplify 0 into 0
4.027 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.027 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0
4.027 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
4.027 * [backup-simplify]: Simplify 0 into 0
4.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.029 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.030 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
4.030 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.030 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2)))
4.031 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))))
4.031 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y
4.031 * [taylor]: Taking taylor expansion of 1/3 in y
4.031 * [backup-simplify]: Simplify 1/3 into 1/3
4.031 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y
4.031 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y
4.031 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y
4.031 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y
4.031 * [taylor]: Taking taylor expansion of 1/3 in y
4.031 * [backup-simplify]: Simplify 1/3 into 1/3
4.031 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y
4.031 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.031 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.031 * [taylor]: Taking taylor expansion of x in y
4.031 * [backup-simplify]: Simplify x into x
4.031 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.032 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.032 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2)))
4.032 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2))))
4.032 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3)
4.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.032 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.032 * [taylor]: Taking taylor expansion of y in y
4.032 * [backup-simplify]: Simplify 0 into 0
4.032 * [backup-simplify]: Simplify 1 into 1
4.032 * [backup-simplify]: Simplify (* 1 1) into 1
4.033 * [backup-simplify]: Simplify (/ 1 1) into 1
4.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.035 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.035 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0
4.036 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0
4.036 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.037 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0
4.039 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0
4.040 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.040 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
4.041 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0
4.041 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3)
4.041 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0
4.041 * [backup-simplify]: Simplify 0 into 0
4.041 * [backup-simplify]: Simplify 0 into 0
4.042 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.043 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.044 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.044 * [backup-simplify]: Simplify 0 into 0
4.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.045 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.045 * [backup-simplify]: Simplify (+ 0 0) into 0
4.048 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.048 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.048 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
4.050 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.050 * [taylor]: Taking taylor expansion of 0 in y
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3)
4.050 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 1 1)
4.050 * [backup-simplify]: Simplify (cbrt (+ (* x x) (* y y))) into (pow (+ (pow x 2) (pow y 2)) 1/3)
4.050 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in (x y) around 0
4.050 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in y
4.050 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in y
4.050 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in y
4.050 * [taylor]: Taking taylor expansion of 1/3 in y
4.050 * [backup-simplify]: Simplify 1/3 into 1/3
4.050 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y
4.050 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
4.050 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.050 * [taylor]: Taking taylor expansion of x in y
4.050 * [backup-simplify]: Simplify x into x
4.050 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.050 * [taylor]: Taking taylor expansion of y in y
4.050 * [backup-simplify]: Simplify 0 into 0
4.050 * [backup-simplify]: Simplify 1 into 1
4.051 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.051 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.051 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
4.051 * [backup-simplify]: Simplify (* 1/3 (log (pow x 2))) into (* 1/3 (log (pow x 2)))
4.051 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow x 2)))) into (pow (pow x 2) 1/3)
4.051 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x
4.051 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x
4.051 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x
4.051 * [taylor]: Taking taylor expansion of 1/3 in x
4.051 * [backup-simplify]: Simplify 1/3 into 1/3
4.051 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
4.051 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.051 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.051 * [taylor]: Taking taylor expansion of x in x
4.051 * [backup-simplify]: Simplify 0 into 0
4.051 * [backup-simplify]: Simplify 1 into 1
4.051 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.051 * [taylor]: Taking taylor expansion of y in x
4.051 * [backup-simplify]: Simplify y into y
4.051 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.051 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.051 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
4.051 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2)))
4.052 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3)
4.052 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/3) in x
4.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (pow x 2) (pow y 2))))) in x
4.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (pow x 2) (pow y 2)))) in x
4.052 * [taylor]: Taking taylor expansion of 1/3 in x
4.052 * [backup-simplify]: Simplify 1/3 into 1/3
4.052 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in x
4.052 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
4.052 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.052 * [taylor]: Taking taylor expansion of x in x
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 1 into 1
4.052 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.052 * [taylor]: Taking taylor expansion of y in x
4.052 * [backup-simplify]: Simplify y into y
4.052 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.052 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
4.052 * [backup-simplify]: Simplify (log (pow y 2)) into (log (pow y 2))
4.052 * [backup-simplify]: Simplify (* 1/3 (log (pow y 2))) into (* 1/3 (log (pow y 2)))
4.052 * [backup-simplify]: Simplify (exp (* 1/3 (log (pow y 2)))) into (pow (pow y 2) 1/3)
4.052 * [taylor]: Taking taylor expansion of (pow (pow y 2) 1/3) in y
4.052 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (pow y 2)))) in y
4.052 * [taylor]: Taking taylor expansion of (* 1/3 (log (pow y 2))) in y
4.052 * [taylor]: Taking taylor expansion of 1/3 in y
4.052 * [backup-simplify]: Simplify 1/3 into 1/3
4.052 * [taylor]: Taking taylor expansion of (log (pow y 2)) in y
4.052 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.052 * [taylor]: Taking taylor expansion of y in y
4.052 * [backup-simplify]: Simplify 0 into 0
4.052 * [backup-simplify]: Simplify 1 into 1
4.053 * [backup-simplify]: Simplify (* 1 1) into 1
4.053 * [backup-simplify]: Simplify (log 1) into 0
4.053 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
4.053 * [backup-simplify]: Simplify (* 1/3 (* 2 (log y))) into (* 2/3 (log y))
4.053 * [backup-simplify]: Simplify (exp (* 2/3 (log y))) into (pow y 2/3)
4.053 * [backup-simplify]: Simplify (pow y 2/3) into (pow y 2/3)
4.054 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.054 * [backup-simplify]: Simplify (+ 0 0) into 0
4.054 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow y 2) 1)))) 1) into 0
4.055 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (pow y 2)))) into 0
4.055 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
4.055 * [taylor]: Taking taylor expansion of 0 in y
4.055 * [backup-simplify]: Simplify 0 into 0
4.055 * [backup-simplify]: Simplify 0 into 0
4.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.056 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.057 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
4.057 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (* 2 (log y)))) into 0
4.058 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
4.058 * [backup-simplify]: Simplify 0 into 0
4.058 * [backup-simplify]: Simplify (* 1 1) into 1
4.058 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
4.058 * [backup-simplify]: Simplify (+ 1 0) into 1
4.060 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow y 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow y 2) 1)))) 2) into (/ 1 (pow y 2))
4.060 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2))))) into (* 1/3 (/ 1 (pow y 2)))
4.061 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
4.061 * [taylor]: Taking taylor expansion of (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) in y
4.061 * [taylor]: Taking taylor expansion of 1/3 in y
4.061 * [backup-simplify]: Simplify 1/3 into 1/3
4.061 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow y 4)) 1/3) in y
4.061 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow y 4))))) in y
4.061 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow y 4)))) in y
4.061 * [taylor]: Taking taylor expansion of 1/3 in y
4.061 * [backup-simplify]: Simplify 1/3 into 1/3
4.061 * [taylor]: Taking taylor expansion of (log (/ 1 (pow y 4))) in y
4.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
4.061 * [taylor]: Taking taylor expansion of (pow y 4) in y
4.061 * [taylor]: Taking taylor expansion of y in y
4.061 * [backup-simplify]: Simplify 0 into 0
4.061 * [backup-simplify]: Simplify 1 into 1
4.061 * [backup-simplify]: Simplify (* 1 1) into 1
4.061 * [backup-simplify]: Simplify (* 1 1) into 1
4.062 * [backup-simplify]: Simplify (/ 1 1) into 1
4.062 * [backup-simplify]: Simplify (log 1) into 0
4.062 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y)))
4.062 * [backup-simplify]: Simplify (* 1/3 (- (* 4 (log y)))) into (* -4/3 (log y))
4.062 * [backup-simplify]: Simplify (exp (* -4/3 (log y))) into (pow y -4/3)
4.062 * [backup-simplify]: Simplify (* 1/3 (pow y -4/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
4.063 * [backup-simplify]: Simplify (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) into (* 1/3 (pow (/ 1 (pow y 4)) 1/3))
4.063 * [backup-simplify]: Simplify 0 into 0
4.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.065 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into 0
4.065 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
4.066 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (* 2 (log y))))) into 0
4.066 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.066 * [backup-simplify]: Simplify 0 into 0
4.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.067 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
4.068 * [backup-simplify]: Simplify (+ 0 0) into 0
4.069 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow y 2) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 1) 1)) (pow (pow y 2) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow y 2) 1)))) 6) into 0
4.070 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (log (pow y 2)))))) into 0
4.071 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (pow y 2)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.071 * [taylor]: Taking taylor expansion of 0 in y
4.071 * [backup-simplify]: Simplify 0 into 0
4.071 * [backup-simplify]: Simplify 0 into 0
4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.073 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.074 * [backup-simplify]: Simplify (+ (* (- 4) (log y)) 0) into (- (* 4 (log y)))
4.074 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 4 (log y))))) into 0
4.075 * [backup-simplify]: Simplify (* (exp (* -4/3 (log y))) (+ (* (/ (pow 0 1) 1)))) into 0
4.075 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (pow y -4/3))) into 0
4.075 * [backup-simplify]: Simplify 0 into 0
4.075 * [backup-simplify]: Simplify 0 into 0
4.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.078 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.079 * [backup-simplify]: Simplify (+ (* (- -2) (log y)) 0) into (* 2 (log y))
4.079 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* 2 (log y)))))) into 0
4.080 * [backup-simplify]: Simplify (* (exp (* 2/3 (log y))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.080 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify (+ (* (* 1/3 (pow (/ 1 (pow y 4)) 1/3)) (pow (* 1 x) 2)) (pow y 2/3)) into (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
4.081 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)
4.081 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0
4.081 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y
4.081 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
4.081 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
4.081 * [taylor]: Taking taylor expansion of 1/3 in y
4.081 * [backup-simplify]: Simplify 1/3 into 1/3
4.081 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.081 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.081 * [taylor]: Taking taylor expansion of x in y
4.081 * [backup-simplify]: Simplify x into x
4.081 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.081 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.081 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.081 * [taylor]: Taking taylor expansion of y in y
4.081 * [backup-simplify]: Simplify 0 into 0
4.081 * [backup-simplify]: Simplify 1 into 1
4.082 * [backup-simplify]: Simplify (* 1 1) into 1
4.082 * [backup-simplify]: Simplify (/ 1 1) into 1
4.082 * [backup-simplify]: Simplify (+ 0 1) into 1
4.083 * [backup-simplify]: Simplify (log 1) into 0
4.083 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
4.083 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y))
4.083 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3)
4.083 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
4.083 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
4.083 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.083 * [taylor]: Taking taylor expansion of 1/3 in x
4.083 * [backup-simplify]: Simplify 1/3 into 1/3
4.083 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.083 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.083 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.083 * [taylor]: Taking taylor expansion of x in x
4.083 * [backup-simplify]: Simplify 0 into 0
4.083 * [backup-simplify]: Simplify 1 into 1
4.083 * [backup-simplify]: Simplify (* 1 1) into 1
4.084 * [backup-simplify]: Simplify (/ 1 1) into 1
4.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.084 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.084 * [taylor]: Taking taylor expansion of y in x
4.084 * [backup-simplify]: Simplify y into y
4.084 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.084 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.084 * [backup-simplify]: Simplify (+ 1 0) into 1
4.084 * [backup-simplify]: Simplify (log 1) into 0
4.085 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.085 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
4.085 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.085 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
4.085 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
4.085 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.085 * [taylor]: Taking taylor expansion of 1/3 in x
4.085 * [backup-simplify]: Simplify 1/3 into 1/3
4.085 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.085 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.085 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.085 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.085 * [taylor]: Taking taylor expansion of x in x
4.085 * [backup-simplify]: Simplify 0 into 0
4.085 * [backup-simplify]: Simplify 1 into 1
4.085 * [backup-simplify]: Simplify (* 1 1) into 1
4.086 * [backup-simplify]: Simplify (/ 1 1) into 1
4.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.086 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.086 * [taylor]: Taking taylor expansion of y in x
4.086 * [backup-simplify]: Simplify y into y
4.086 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.086 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.086 * [backup-simplify]: Simplify (+ 1 0) into 1
4.086 * [backup-simplify]: Simplify (log 1) into 0
4.087 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.087 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
4.087 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.087 * [taylor]: Taking taylor expansion of (pow x -2/3) in y
4.087 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y
4.087 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y
4.087 * [taylor]: Taking taylor expansion of -2/3 in y
4.087 * [backup-simplify]: Simplify -2/3 into -2/3
4.087 * [taylor]: Taking taylor expansion of (log x) in y
4.087 * [taylor]: Taking taylor expansion of x in y
4.087 * [backup-simplify]: Simplify x into x
4.087 * [backup-simplify]: Simplify (log x) into (log x)
4.087 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x))
4.087 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.087 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3)
4.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.088 * [backup-simplify]: Simplify (+ 0 0) into 0
4.089 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.089 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.090 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0
4.090 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
4.090 * [taylor]: Taking taylor expansion of 0 in y
4.090 * [backup-simplify]: Simplify 0 into 0
4.090 * [backup-simplify]: Simplify 0 into 0
4.091 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.091 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0
4.092 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
4.092 * [backup-simplify]: Simplify 0 into 0
4.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.094 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
4.095 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.095 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2)))
4.096 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))))
4.096 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y
4.096 * [taylor]: Taking taylor expansion of 1/3 in y
4.096 * [backup-simplify]: Simplify 1/3 into 1/3
4.096 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y
4.096 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y
4.096 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y
4.096 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y
4.096 * [taylor]: Taking taylor expansion of 1/3 in y
4.096 * [backup-simplify]: Simplify 1/3 into 1/3
4.096 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y
4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.096 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.096 * [taylor]: Taking taylor expansion of x in y
4.096 * [backup-simplify]: Simplify x into x
4.096 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.096 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.096 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2)))
4.096 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2))))
4.096 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3)
4.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.096 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.096 * [taylor]: Taking taylor expansion of y in y
4.096 * [backup-simplify]: Simplify 0 into 0
4.096 * [backup-simplify]: Simplify 1 into 1
4.097 * [backup-simplify]: Simplify (* 1 1) into 1
4.097 * [backup-simplify]: Simplify (/ 1 1) into 1
4.097 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.099 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.100 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0
4.100 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0
4.101 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.101 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.101 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.102 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0
4.103 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0
4.104 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.104 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
4.105 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0
4.105 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3)
4.106 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0
4.106 * [backup-simplify]: Simplify 0 into 0
4.106 * [backup-simplify]: Simplify 0 into 0
4.110 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.110 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.111 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.111 * [backup-simplify]: Simplify 0 into 0
4.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.112 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.112 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.113 * [backup-simplify]: Simplify (+ 0 0) into 0
4.115 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.115 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.116 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
4.117 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.117 * [taylor]: Taking taylor expansion of 0 in y
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify 0 into 0
4.117 * [backup-simplify]: Simplify (pow (/ 1 x) -2/3) into (pow (/ 1 x) -2/3)
4.117 * [backup-simplify]: Simplify (cbrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3)
4.117 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in (x y) around 0
4.117 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in y
4.117 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in y
4.117 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
4.118 * [taylor]: Taking taylor expansion of 1/3 in y
4.118 * [backup-simplify]: Simplify 1/3 into 1/3
4.118 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
4.118 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
4.118 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.118 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.118 * [taylor]: Taking taylor expansion of x in y
4.118 * [backup-simplify]: Simplify x into x
4.118 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.118 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.118 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.118 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.118 * [taylor]: Taking taylor expansion of y in y
4.118 * [backup-simplify]: Simplify 0 into 0
4.118 * [backup-simplify]: Simplify 1 into 1
4.118 * [backup-simplify]: Simplify (* 1 1) into 1
4.118 * [backup-simplify]: Simplify (/ 1 1) into 1
4.119 * [backup-simplify]: Simplify (+ 0 1) into 1
4.119 * [backup-simplify]: Simplify (log 1) into 0
4.119 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
4.119 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log y)))) into (* -2/3 (log y))
4.119 * [backup-simplify]: Simplify (exp (* -2/3 (log y))) into (pow y -2/3)
4.119 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
4.119 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
4.119 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.119 * [taylor]: Taking taylor expansion of 1/3 in x
4.119 * [backup-simplify]: Simplify 1/3 into 1/3
4.119 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.119 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.119 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.119 * [taylor]: Taking taylor expansion of x in x
4.119 * [backup-simplify]: Simplify 0 into 0
4.119 * [backup-simplify]: Simplify 1 into 1
4.120 * [backup-simplify]: Simplify (* 1 1) into 1
4.120 * [backup-simplify]: Simplify (/ 1 1) into 1
4.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.120 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.120 * [taylor]: Taking taylor expansion of y in x
4.120 * [backup-simplify]: Simplify y into y
4.120 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.120 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.120 * [backup-simplify]: Simplify (+ 1 0) into 1
4.121 * [backup-simplify]: Simplify (log 1) into 0
4.121 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.121 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
4.121 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.121 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) 1/3) in x
4.121 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) in x
4.121 * [taylor]: Taking taylor expansion of (* 1/3 (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
4.121 * [taylor]: Taking taylor expansion of 1/3 in x
4.121 * [backup-simplify]: Simplify 1/3 into 1/3
4.121 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
4.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
4.121 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
4.121 * [taylor]: Taking taylor expansion of (pow x 2) in x
4.121 * [taylor]: Taking taylor expansion of x in x
4.121 * [backup-simplify]: Simplify 0 into 0
4.121 * [backup-simplify]: Simplify 1 into 1
4.122 * [backup-simplify]: Simplify (* 1 1) into 1
4.122 * [backup-simplify]: Simplify (/ 1 1) into 1
4.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
4.122 * [taylor]: Taking taylor expansion of (pow y 2) in x
4.122 * [taylor]: Taking taylor expansion of y in x
4.122 * [backup-simplify]: Simplify y into y
4.122 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.122 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
4.122 * [backup-simplify]: Simplify (+ 1 0) into 1
4.123 * [backup-simplify]: Simplify (log 1) into 0
4.123 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.123 * [backup-simplify]: Simplify (* 1/3 (- (* 2 (log x)))) into (* -2/3 (log x))
4.123 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.123 * [taylor]: Taking taylor expansion of (pow x -2/3) in y
4.123 * [taylor]: Taking taylor expansion of (exp (* -2/3 (log x))) in y
4.123 * [taylor]: Taking taylor expansion of (* -2/3 (log x)) in y
4.123 * [taylor]: Taking taylor expansion of -2/3 in y
4.123 * [backup-simplify]: Simplify -2/3 into -2/3
4.123 * [taylor]: Taking taylor expansion of (log x) in y
4.123 * [taylor]: Taking taylor expansion of x in y
4.123 * [backup-simplify]: Simplify x into x
4.123 * [backup-simplify]: Simplify (log x) into (log x)
4.123 * [backup-simplify]: Simplify (* -2/3 (log x)) into (* -2/3 (log x))
4.123 * [backup-simplify]: Simplify (exp (* -2/3 (log x))) into (pow x -2/3)
4.123 * [backup-simplify]: Simplify (pow x -2/3) into (pow x -2/3)
4.124 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.124 * [backup-simplify]: Simplify (+ 0 0) into 0
4.125 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
4.125 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.126 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (* 2 (log x))))) into 0
4.126 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
4.126 * [taylor]: Taking taylor expansion of 0 in y
4.126 * [backup-simplify]: Simplify 0 into 0
4.126 * [backup-simplify]: Simplify 0 into 0
4.127 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow x 1)))) 1) into 0
4.127 * [backup-simplify]: Simplify (+ (* -2/3 0) (* 0 (log x))) into 0
4.128 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
4.128 * [backup-simplify]: Simplify 0 into 0
4.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.129 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
4.130 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 1)))) 2) into (/ 1 (pow y 2))
4.130 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.131 * [backup-simplify]: Simplify (+ (* 1/3 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (* 1/3 (/ 1 (pow y 2)))
4.131 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)))) into (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))))
4.131 * [taylor]: Taking taylor expansion of (* 1/3 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2)))) in y
4.132 * [taylor]: Taking taylor expansion of 1/3 in y
4.132 * [backup-simplify]: Simplify 1/3 into 1/3
4.132 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow y 2))) in y
4.132 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 2)) 1/3) in y
4.132 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 2))))) in y
4.132 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 2)))) in y
4.132 * [taylor]: Taking taylor expansion of 1/3 in y
4.132 * [backup-simplify]: Simplify 1/3 into 1/3
4.132 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 2))) in y
4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
4.132 * [taylor]: Taking taylor expansion of (pow x 2) in y
4.132 * [taylor]: Taking taylor expansion of x in y
4.132 * [backup-simplify]: Simplify x into x
4.132 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.132 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
4.132 * [backup-simplify]: Simplify (log (/ 1 (pow x 2))) into (log (/ 1 (pow x 2)))
4.132 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 (pow x 2)))) into (* 1/3 (log (/ 1 (pow x 2))))
4.132 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 (pow x 2))))) into (pow (/ 1 (pow x 2)) 1/3)
4.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
4.132 * [taylor]: Taking taylor expansion of (pow y 2) in y
4.132 * [taylor]: Taking taylor expansion of y in y
4.132 * [backup-simplify]: Simplify 0 into 0
4.132 * [backup-simplify]: Simplify 1 into 1
4.133 * [backup-simplify]: Simplify (* 1 1) into 1
4.133 * [backup-simplify]: Simplify (/ 1 1) into 1
4.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.135 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
4.136 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 1) into 0
4.136 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 (pow x 2))))) into 0
4.137 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
4.137 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
4.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
4.138 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 (pow x 2)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 (pow x 2)) 1)))) 2) into 0
4.139 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 (pow x 2)))))) into 0
4.140 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 (pow x 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.140 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (+ (* 0 0) (* 0 1))) into 0
4.141 * [backup-simplify]: Simplify (+ (* (pow (/ 1 (pow x 2)) 1/3) 0) (* 0 1)) into 0
4.141 * [backup-simplify]: Simplify (* (pow (/ 1 (pow x 2)) 1/3) 1) into (pow (/ 1 (pow x 2)) 1/3)
4.142 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 (pow x 2)) 1/3)))) into 0
4.142 * [backup-simplify]: Simplify 0 into 0
4.142 * [backup-simplify]: Simplify 0 into 0
4.143 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow x 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow x 1)))) 2) into 0
4.143 * [backup-simplify]: Simplify (+ (* -2/3 0) (+ (* 0 0) (* 0 (log x)))) into 0
4.144 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
4.144 * [backup-simplify]: Simplify 0 into 0
4.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.145 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
4.146 * [backup-simplify]: Simplify (+ 0 0) into 0
4.148 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1 (pow y 2))) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
4.149 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
4.150 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 (- (* 2 (log x))))))) into 0
4.152 * [backup-simplify]: Simplify (* (exp (* -2/3 (log x))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/3 (/ 1 (pow y 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0
4.152 * [taylor]: Taking taylor expansion of 0 in y
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify 0 into 0
4.152 * [backup-simplify]: Simplify (pow (/ 1 (- x)) -2/3) into (pow (/ -1 x) -2/3)
4.152 * * * [progress]: simplifying candidates
4.153 * [simplify]: Simplifying:
  (log (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (exp (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (* (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))))
  (cbrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (* (* (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (sqrt (* (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))) (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))))
  (sqrt (cbrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (sqrt 1)
  (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))
  (sqrt (+ (pow (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) 3) (pow (* z z) 3)))
  (sqrt (+ (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (- (* (* z z) (* z z)) (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))))
  (sqrt (- (* (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))) (* (* z z) (* z z))))
  (sqrt (- (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (sqrt (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))
  (log (cbrt (+ (* x x) (* y y))))
  (exp (cbrt (+ (* x x) (* y y))))
  (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt 1)
  (cbrt (+ (* x x) (* y y)))
  (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (cbrt (- (* x x) (* y y)))
  (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (log (cbrt (+ (* x x) (* y y))))
  (exp (cbrt (+ (* x x) (* y y))))
  (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt 1)
  (cbrt (+ (* x x) (* y y)))
  (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (cbrt (- (* x x) (* y y)))
  (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (log (cbrt (+ (* x x) (* y y))))
  (exp (cbrt (+ (* x x) (* y y))))
  (cbrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt 1)
  (cbrt (+ (* x x) (* y y)))
  (cbrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (cbrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (cbrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (cbrt (- (* x x) (* y y)))
  (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  z
  x
  (* -1 x)
  (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
  (pow (/ 1 x) -2/3)
  (pow (/ -1 x) -2/3)
  (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
  (pow (/ 1 x) -2/3)
  (pow (/ -1 x) -2/3)
  (+ (pow y 2/3) (* 1/3 (* (pow x 2) (pow (/ 1 (pow y 4)) 1/3))))
  (pow (/ 1 x) -2/3)
  (pow (/ -1 x) -2/3)
4.155 * * [simplify]: Extracting # 0 : cost  0
4.155 * * [simplify]: Extracting # 1 : cost  0
4.155 * * [simplify]: Extracting # 2 : cost  0
4.155 * * [simplify]: Extracting # 3 : cost  0
4.155 * * [simplify]: Extracting # 4 : cost  0
4.155 * * [simplify]: Extracting # 5 : cost  0
4.155 * * [simplify]: Extracting # 6 : cost  0
4.155 * * [simplify]: Extracting # 7 : cost  0
4.156 * * [simplify]: iteration  0 :  83  enodes  (cost  1438 )
4.186 * * [simplify]: Extracting # 0 : cost  0
4.186 * * [simplify]: Extracting # 1 : cost  0
4.186 * * [simplify]: Extracting # 2 : cost  0
4.187 * * [simplify]: Extracting # 3 : cost  0
4.187 * * [simplify]: Extracting # 4 : cost  0
4.188 * * [simplify]: iteration  1 :  204  enodes  (cost  1347 )
4.274 * * [simplify]: Extracting # 0 : cost  0
4.274 * * [simplify]: Extracting # 1 : cost  0
4.275 * * [simplify]: Extracting # 2 : cost  0
4.275 * * [simplify]: Extracting # 3 : cost  0
4.276 * * [simplify]: Extracting # 4 : cost  0
4.276 * * [simplify]: iteration  2 :  480  enodes  (cost  829 )
4.505 * * [simplify]: Extracting # 0 : cost  0
4.506 * * [simplify]: Extracting # 1 : cost  0
4.507 * * [simplify]: Extracting # 2 : cost  0
4.509 * * [simplify]: Extracting # 3 : cost  0
4.510 * * [simplify]: Extracting # 4 : cost  0
4.511 * * [simplify]: iteration  3 :  1257  enodes  (cost  814 )
5.623 * * [simplify]: Extracting # 0 : cost  0
5.628 * * [simplify]: Extracting # 1 : cost  0
5.633 * * [simplify]: Extracting # 2 : cost  0
5.637 * * [simplify]: Extracting # 3 : cost  0
5.642 * * [simplify]: Extracting # 4 : cost  0
5.646 * * [simplify]: iteration  4 :  4436  enodes  (cost  814 )
7.315 * * [simplify]: Extracting # 0 : cost  0
7.331 * * [simplify]: Extracting # 1 : cost  0
7.340 * * [simplify]: Extracting # 2 : cost  0
7.348 * * [simplify]: Extracting # 3 : cost  0
7.356 * * [simplify]: Extracting # 4 : cost  0
7.364 * * [simplify]: iteration done:  5001  enodes  (cost  793 )
7.365 * [simplify]: Simplified to:
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (sqrt (+ (* z z) (+ (* y y) (* x x)))) 3)
  (fabs (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  1
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow z 6) (pow (+ (* y y) (* x x)) 3)))
  (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (- (* z z) (+ (* x x) (* y y))))))
  (sqrt (- (pow (cbrt (+ (* x x) (* y y))) 6) (pow z 4)))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (cbrt (+ (* x x) (* y y))))
  (exp (cbrt (+ (* x x) (* y y))))
  (cbrt (pow (cbrt (+ (* x x) (* y y))) 2))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  1
  (cbrt (+ (* x x) (* y y)))
  (cbrt (+ (pow y 6) (pow x 6)))
  (cbrt (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))))
  (cbrt (- (pow x 4) (pow y 4)))
  (cbrt (- (* x x) (* y y)))
  (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (+ (* y y) (* x x))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (log (cbrt (+ (* x x) (* y y))))
  (exp (cbrt (+ (* x x) (* y y))))
  (cbrt (pow (cbrt (+ (* x x) (* y y))) 2))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  1
  (cbrt (+ (* x x) (* y y)))
  (cbrt (+ (pow y 6) (pow x 6)))
  (cbrt (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))))
  (cbrt (- (pow x 4) (pow y 4)))
  (cbrt (- (* x x) (* y y)))
  (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (+ (* y y) (* x x))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (log (cbrt (+ (* x x) (* y y))))
  (exp (cbrt (+ (* x x) (* y y))))
  (cbrt (pow (cbrt (+ (* x x) (* y y))) 2))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  1
  (cbrt (+ (* x x) (* y y)))
  (cbrt (+ (pow y 6) (pow x 6)))
  (cbrt (+ (pow x 4) (* (* y y) (- (* y y) (* x x)))))
  (cbrt (- (pow x 4) (pow y 4)))
  (cbrt (- (* x x) (* y y)))
  (* (cbrt (cbrt (+ (* x x) (* y y)))) (cbrt (cbrt (+ (* x x) (* y y)))))
  (cbrt (cbrt (+ (* x x) (* y y))))
  (+ (* y y) (* x x))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  z
  x
  (- x)
  (+ (pow y 2/3) (* (* (cbrt (/ 1 (pow y 4))) (pow x 2)) 1/3))
  (pow (/ 1 x) -2/3)
  (pow (/ -1 x) -2/3)
  (+ (pow y 2/3) (* (* (cbrt (/ 1 (pow y 4))) (pow x 2)) 1/3))
  (pow (/ 1 x) -2/3)
  (pow (/ -1 x) -2/3)
  (+ (pow y 2/3) (* (* (cbrt (/ 1 (pow y 4))) (pow x 2)) 1/3))
  (pow (/ 1 x) -2/3)
  (pow (/ -1 x) -2/3)
7.366 * * * [progress]: adding candidates to table
7.670 * * [progress]: iteration 3 / 4
7.670 * * * [progress]: picking best candidate
7.676 * * * * [pick]: Picked  #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))>
7.676 * * * [progress]: localizing error
7.695 * * * [progress]: generating rewritten candidates
7.695 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
7.726 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
7.779 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
7.809 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
7.828 * * * [progress]: generating series expansions
7.829 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
7.829 * [backup-simplify]: Simplify (sqrt (+ (* z z) (+ (* y y) (* x x)))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
7.829 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (z y x) around 0
7.829 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
7.829 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
7.829 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.829 * [taylor]: Taking taylor expansion of x in x
7.829 * [backup-simplify]: Simplify 0 into 0
7.829 * [backup-simplify]: Simplify 1 into 1
7.829 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
7.829 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.829 * [taylor]: Taking taylor expansion of y in x
7.829 * [backup-simplify]: Simplify y into y
7.829 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.829 * [taylor]: Taking taylor expansion of z in x
7.829 * [backup-simplify]: Simplify z into z
7.829 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.829 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.829 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.829 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
7.830 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.830 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.830 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.830 * [backup-simplify]: Simplify (+ 0 0) into 0
7.831 * [backup-simplify]: Simplify (+ 0 0) into 0
7.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.831 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.831 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.831 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.831 * [taylor]: Taking taylor expansion of x in y
7.831 * [backup-simplify]: Simplify x into x
7.831 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.831 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.831 * [taylor]: Taking taylor expansion of y in y
7.831 * [backup-simplify]: Simplify 0 into 0
7.831 * [backup-simplify]: Simplify 1 into 1
7.831 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.831 * [taylor]: Taking taylor expansion of z in y
7.831 * [backup-simplify]: Simplify z into z
7.831 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.831 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.831 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.831 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.831 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.832 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.832 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.832 * [backup-simplify]: Simplify (+ 0 0) into 0
7.832 * [backup-simplify]: Simplify (+ 0 0) into 0
7.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
7.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
7.832 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
7.832 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.832 * [taylor]: Taking taylor expansion of x in z
7.832 * [backup-simplify]: Simplify x into x
7.832 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
7.832 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.832 * [taylor]: Taking taylor expansion of y in z
7.832 * [backup-simplify]: Simplify y into y
7.832 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.832 * [taylor]: Taking taylor expansion of z in z
7.832 * [backup-simplify]: Simplify 0 into 0
7.832 * [backup-simplify]: Simplify 1 into 1
7.833 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.833 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.833 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.833 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.833 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.833 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.833 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.833 * [backup-simplify]: Simplify (+ 0 0) into 0
7.834 * [backup-simplify]: Simplify (+ 0 0) into 0
7.834 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.834 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
7.834 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
7.834 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.834 * [taylor]: Taking taylor expansion of x in z
7.834 * [backup-simplify]: Simplify x into x
7.834 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
7.834 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.834 * [taylor]: Taking taylor expansion of y in z
7.834 * [backup-simplify]: Simplify y into y
7.834 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.834 * [taylor]: Taking taylor expansion of z in z
7.834 * [backup-simplify]: Simplify 0 into 0
7.834 * [backup-simplify]: Simplify 1 into 1
7.834 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.834 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.834 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.834 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.834 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.835 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.835 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.835 * [backup-simplify]: Simplify (+ 0 0) into 0
7.835 * [backup-simplify]: Simplify (+ 0 0) into 0
7.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.835 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
7.835 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
7.835 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.835 * [taylor]: Taking taylor expansion of x in y
7.835 * [backup-simplify]: Simplify x into x
7.835 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.835 * [taylor]: Taking taylor expansion of y in y
7.835 * [backup-simplify]: Simplify 0 into 0
7.835 * [backup-simplify]: Simplify 1 into 1
7.836 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.836 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.836 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.836 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.836 * [backup-simplify]: Simplify (+ 0 0) into 0
7.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.836 * [taylor]: Taking taylor expansion of x in x
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 1 into 1
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [taylor]: Taking taylor expansion of 0 in y
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [taylor]: Taking taylor expansion of 0 in x
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [taylor]: Taking taylor expansion of 0 in x
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 0 into 0
7.836 * [backup-simplify]: Simplify 1 into 1
7.837 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.837 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.837 * [backup-simplify]: Simplify (* 1 1) into 1
7.837 * [backup-simplify]: Simplify (+ 0 1) into 1
7.838 * [backup-simplify]: Simplify (+ 0 1) into 1
7.839 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
7.839 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y
7.839 * [taylor]: Taking taylor expansion of 1/2 in y
7.839 * [backup-simplify]: Simplify 1/2 into 1/2
7.839 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y
7.839 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y
7.839 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
7.839 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.839 * [taylor]: Taking taylor expansion of x in y
7.839 * [backup-simplify]: Simplify x into x
7.839 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.839 * [taylor]: Taking taylor expansion of y in y
7.839 * [backup-simplify]: Simplify 0 into 0
7.839 * [backup-simplify]: Simplify 1 into 1
7.839 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.839 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.839 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.840 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
7.840 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.840 * [backup-simplify]: Simplify (+ 0 0) into 0
7.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
7.841 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
7.841 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.841 * [taylor]: Taking taylor expansion of 1/2 in x
7.841 * [backup-simplify]: Simplify 1/2 into 1/2
7.841 * [taylor]: Taking taylor expansion of x in x
7.841 * [backup-simplify]: Simplify 0 into 0
7.841 * [backup-simplify]: Simplify 1 into 1
7.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [taylor]: Taking taylor expansion of 0 in x
7.842 * [backup-simplify]: Simplify 0 into 0
7.842 * [backup-simplify]: Simplify 0 into 0
7.843 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.843 * [backup-simplify]: Simplify (* 1 1) into 1
7.843 * [backup-simplify]: Simplify (+ 0 1) into 1
7.844 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
7.844 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.844 * [taylor]: Taking taylor expansion of 1/2 in x
7.844 * [backup-simplify]: Simplify 1/2 into 1/2
7.844 * [taylor]: Taking taylor expansion of x in x
7.845 * [backup-simplify]: Simplify 0 into 0
7.845 * [backup-simplify]: Simplify 1 into 1
7.845 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify 0 into 0
7.846 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
7.847 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 z) (/ 1 z)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.847 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
7.847 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.847 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.847 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.847 * [taylor]: Taking taylor expansion of x in x
7.847 * [backup-simplify]: Simplify 0 into 0
7.847 * [backup-simplify]: Simplify 1 into 1
7.848 * [backup-simplify]: Simplify (* 1 1) into 1
7.848 * [backup-simplify]: Simplify (/ 1 1) into 1
7.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.848 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.848 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.848 * [taylor]: Taking taylor expansion of z in x
7.848 * [backup-simplify]: Simplify z into z
7.848 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.849 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.849 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.849 * [taylor]: Taking taylor expansion of y in x
7.849 * [backup-simplify]: Simplify y into y
7.849 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.849 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.850 * [backup-simplify]: Simplify (+ 1 0) into 1
7.850 * [backup-simplify]: Simplify (sqrt 1) into 1
7.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.852 * [backup-simplify]: Simplify (+ 0 0) into 0
7.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.853 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.853 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.853 * [taylor]: Taking taylor expansion of x in y
7.853 * [backup-simplify]: Simplify x into x
7.853 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.853 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.853 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.853 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.853 * [taylor]: Taking taylor expansion of z in y
7.853 * [backup-simplify]: Simplify z into z
7.853 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.854 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.854 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.854 * [taylor]: Taking taylor expansion of y in y
7.854 * [backup-simplify]: Simplify 0 into 0
7.854 * [backup-simplify]: Simplify 1 into 1
7.854 * [backup-simplify]: Simplify (* 1 1) into 1
7.855 * [backup-simplify]: Simplify (/ 1 1) into 1
7.855 * [backup-simplify]: Simplify (+ 0 1) into 1
7.856 * [backup-simplify]: Simplify (+ 0 1) into 1
7.856 * [backup-simplify]: Simplify (sqrt 1) into 1
7.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.858 * [backup-simplify]: Simplify (+ 0 0) into 0
7.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.859 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.859 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.859 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.859 * [taylor]: Taking taylor expansion of x in z
7.859 * [backup-simplify]: Simplify x into x
7.859 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.859 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.859 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.859 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.859 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.859 * [taylor]: Taking taylor expansion of z in z
7.859 * [backup-simplify]: Simplify 0 into 0
7.859 * [backup-simplify]: Simplify 1 into 1
7.860 * [backup-simplify]: Simplify (* 1 1) into 1
7.860 * [backup-simplify]: Simplify (/ 1 1) into 1
7.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.860 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.860 * [taylor]: Taking taylor expansion of y in z
7.860 * [backup-simplify]: Simplify y into y
7.860 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.860 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.861 * [backup-simplify]: Simplify (+ 1 0) into 1
7.861 * [backup-simplify]: Simplify (+ 0 1) into 1
7.862 * [backup-simplify]: Simplify (sqrt 1) into 1
7.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.863 * [backup-simplify]: Simplify (+ 0 0) into 0
7.864 * [backup-simplify]: Simplify (+ 0 0) into 0
7.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.864 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.864 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.864 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.865 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.865 * [taylor]: Taking taylor expansion of x in z
7.865 * [backup-simplify]: Simplify x into x
7.865 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.865 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.865 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.865 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.865 * [taylor]: Taking taylor expansion of z in z
7.865 * [backup-simplify]: Simplify 0 into 0
7.865 * [backup-simplify]: Simplify 1 into 1
7.865 * [backup-simplify]: Simplify (* 1 1) into 1
7.865 * [backup-simplify]: Simplify (/ 1 1) into 1
7.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.866 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.866 * [taylor]: Taking taylor expansion of y in z
7.866 * [backup-simplify]: Simplify y into y
7.866 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.866 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.866 * [backup-simplify]: Simplify (+ 1 0) into 1
7.867 * [backup-simplify]: Simplify (+ 0 1) into 1
7.867 * [backup-simplify]: Simplify (sqrt 1) into 1
7.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.872 * [backup-simplify]: Simplify (+ 0 0) into 0
7.872 * [backup-simplify]: Simplify (+ 0 0) into 0
7.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.873 * [taylor]: Taking taylor expansion of 1 in y
7.873 * [backup-simplify]: Simplify 1 into 1
7.873 * [taylor]: Taking taylor expansion of 0 in y
7.873 * [backup-simplify]: Simplify 0 into 0
7.873 * [taylor]: Taking taylor expansion of 1 in x
7.873 * [backup-simplify]: Simplify 1 into 1
7.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.875 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.875 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.877 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.877 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.877 * [taylor]: Taking taylor expansion of 1/2 in y
7.877 * [backup-simplify]: Simplify 1/2 into 1/2
7.877 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.877 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.877 * [taylor]: Taking taylor expansion of x in y
7.877 * [backup-simplify]: Simplify x into x
7.877 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.877 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.877 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.877 * [taylor]: Taking taylor expansion of y in y
7.877 * [backup-simplify]: Simplify 0 into 0
7.878 * [backup-simplify]: Simplify 1 into 1
7.878 * [backup-simplify]: Simplify (* 1 1) into 1
7.878 * [backup-simplify]: Simplify (/ 1 1) into 1
7.879 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.880 * [backup-simplify]: Simplify (+ 0 0) into 0
7.880 * [backup-simplify]: Simplify (+ 0 1) into 1
7.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.881 * [taylor]: Taking taylor expansion of 0 in x
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [taylor]: Taking taylor expansion of 0 in x
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [taylor]: Taking taylor expansion of 0 in x
7.881 * [backup-simplify]: Simplify 0 into 0
7.881 * [backup-simplify]: Simplify 1 into 1
7.881 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.884 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.884 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (+ 0 0) into 0
7.885 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
7.885 * [taylor]: Taking taylor expansion of 0 in y
7.886 * [backup-simplify]: Simplify 0 into 0
7.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.887 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.888 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.888 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.888 * [taylor]: Taking taylor expansion of 1/2 in x
7.888 * [backup-simplify]: Simplify 1/2 into 1/2
7.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.888 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.888 * [taylor]: Taking taylor expansion of x in x
7.888 * [backup-simplify]: Simplify 0 into 0
7.888 * [backup-simplify]: Simplify 1 into 1
7.889 * [backup-simplify]: Simplify (* 1 1) into 1
7.889 * [backup-simplify]: Simplify (/ 1 1) into 1
7.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.890 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [taylor]: Taking taylor expansion of 0 in x
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [taylor]: Taking taylor expansion of 0 in x
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 0 into 0
7.891 * [backup-simplify]: Simplify 0 into 0
7.892 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.893 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.894 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.895 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.896 * [backup-simplify]: Simplify (+ 0 0) into 0
7.896 * [backup-simplify]: Simplify (+ 0 0) into 0
7.898 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
7.898 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
7.898 * [taylor]: Taking taylor expansion of -1/2 in y
7.898 * [backup-simplify]: Simplify -1/2 into -1/2
7.898 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
7.898 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
7.898 * [taylor]: Taking taylor expansion of 1/2 in y
7.898 * [backup-simplify]: Simplify 1/2 into 1/2
7.898 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
7.898 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
7.898 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.898 * [taylor]: Taking taylor expansion of x in y
7.898 * [backup-simplify]: Simplify x into x
7.898 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.898 * [taylor]: Taking taylor expansion of y in y
7.898 * [backup-simplify]: Simplify 0 into 0
7.898 * [backup-simplify]: Simplify 1 into 1
7.898 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.899 * [backup-simplify]: Simplify (* 1 1) into 1
7.899 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.899 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.899 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
7.899 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
7.899 * [taylor]: Taking taylor expansion of 1/4 in y
7.899 * [backup-simplify]: Simplify 1/4 into 1/4
7.899 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
7.899 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.899 * [taylor]: Taking taylor expansion of x in y
7.899 * [backup-simplify]: Simplify x into x
7.899 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.899 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.900 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.900 * [taylor]: Taking taylor expansion of 1/4 in y
7.900 * [backup-simplify]: Simplify 1/4 into 1/4
7.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.900 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.900 * [taylor]: Taking taylor expansion of y in y
7.900 * [backup-simplify]: Simplify 0 into 0
7.900 * [backup-simplify]: Simplify 1 into 1
7.900 * [backup-simplify]: Simplify (* 1 1) into 1
7.901 * [backup-simplify]: Simplify (* 1 1) into 1
7.901 * [backup-simplify]: Simplify (/ 1 1) into 1
7.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.902 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.902 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.902 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.903 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.908 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.908 * [backup-simplify]: Simplify (+ 0 0) into 0
7.908 * [backup-simplify]: Simplify (+ 0 0) into 0
7.908 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.909 * [backup-simplify]: Simplify (+ 0 0) into 0
7.909 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
7.910 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.910 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [backup-simplify]: Simplify (+ 0 0) into 0
7.910 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.911 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.911 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.912 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.912 * [taylor]: Taking taylor expansion of 0 in x
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [taylor]: Taking taylor expansion of 0 in x
7.912 * [backup-simplify]: Simplify 0 into 0
7.912 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.914 * [backup-simplify]: Simplify (+ 0 0) into 0
7.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.914 * [taylor]: Taking taylor expansion of 0 in x
7.914 * [backup-simplify]: Simplify 0 into 0
7.914 * [taylor]: Taking taylor expansion of 0 in x
7.914 * [backup-simplify]: Simplify 0 into 0
7.914 * [taylor]: Taking taylor expansion of 0 in x
7.914 * [backup-simplify]: Simplify 0 into 0
7.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.916 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.916 * [backup-simplify]: Simplify 0 into 0
7.916 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
7.917 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.917 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
7.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.917 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.917 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.917 * [taylor]: Taking taylor expansion of x in x
7.917 * [backup-simplify]: Simplify 0 into 0
7.917 * [backup-simplify]: Simplify 1 into 1
7.917 * [backup-simplify]: Simplify (* 1 1) into 1
7.917 * [backup-simplify]: Simplify (/ 1 1) into 1
7.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.917 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.917 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.917 * [taylor]: Taking taylor expansion of z in x
7.917 * [backup-simplify]: Simplify z into z
7.918 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.918 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.918 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.918 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.918 * [taylor]: Taking taylor expansion of y in x
7.918 * [backup-simplify]: Simplify y into y
7.918 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.918 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.918 * [backup-simplify]: Simplify (+ 1 0) into 1
7.918 * [backup-simplify]: Simplify (sqrt 1) into 1
7.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.919 * [backup-simplify]: Simplify (+ 0 0) into 0
7.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.920 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.920 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.920 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.920 * [taylor]: Taking taylor expansion of x in y
7.920 * [backup-simplify]: Simplify x into x
7.920 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.920 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.920 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.920 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.920 * [taylor]: Taking taylor expansion of z in y
7.920 * [backup-simplify]: Simplify z into z
7.920 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.920 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.920 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.920 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.920 * [taylor]: Taking taylor expansion of y in y
7.920 * [backup-simplify]: Simplify 0 into 0
7.920 * [backup-simplify]: Simplify 1 into 1
7.921 * [backup-simplify]: Simplify (* 1 1) into 1
7.921 * [backup-simplify]: Simplify (/ 1 1) into 1
7.921 * [backup-simplify]: Simplify (+ 0 1) into 1
7.921 * [backup-simplify]: Simplify (+ 0 1) into 1
7.922 * [backup-simplify]: Simplify (sqrt 1) into 1
7.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.923 * [backup-simplify]: Simplify (+ 0 0) into 0
7.923 * [backup-simplify]: Simplify (+ 0 0) into 0
7.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.923 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.923 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.924 * [taylor]: Taking taylor expansion of x in z
7.924 * [backup-simplify]: Simplify x into x
7.924 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.924 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.924 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.924 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.924 * [taylor]: Taking taylor expansion of z in z
7.924 * [backup-simplify]: Simplify 0 into 0
7.924 * [backup-simplify]: Simplify 1 into 1
7.924 * [backup-simplify]: Simplify (* 1 1) into 1
7.924 * [backup-simplify]: Simplify (/ 1 1) into 1
7.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.924 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.924 * [taylor]: Taking taylor expansion of y in z
7.924 * [backup-simplify]: Simplify y into y
7.924 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.925 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.925 * [backup-simplify]: Simplify (+ 1 0) into 1
7.925 * [backup-simplify]: Simplify (+ 0 1) into 1
7.925 * [backup-simplify]: Simplify (sqrt 1) into 1
7.926 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.926 * [backup-simplify]: Simplify (+ 0 0) into 0
7.927 * [backup-simplify]: Simplify (+ 0 0) into 0
7.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.927 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.927 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.927 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.927 * [taylor]: Taking taylor expansion of x in z
7.927 * [backup-simplify]: Simplify x into x
7.927 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.927 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.927 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.927 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.927 * [taylor]: Taking taylor expansion of z in z
7.927 * [backup-simplify]: Simplify 0 into 0
7.927 * [backup-simplify]: Simplify 1 into 1
7.928 * [backup-simplify]: Simplify (* 1 1) into 1
7.928 * [backup-simplify]: Simplify (/ 1 1) into 1
7.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.928 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.928 * [taylor]: Taking taylor expansion of y in z
7.928 * [backup-simplify]: Simplify y into y
7.928 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.928 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.928 * [backup-simplify]: Simplify (+ 1 0) into 1
7.929 * [backup-simplify]: Simplify (+ 0 1) into 1
7.929 * [backup-simplify]: Simplify (sqrt 1) into 1
7.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.930 * [backup-simplify]: Simplify (+ 0 0) into 0
7.930 * [backup-simplify]: Simplify (+ 0 0) into 0
7.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.931 * [taylor]: Taking taylor expansion of 1 in y
7.931 * [backup-simplify]: Simplify 1 into 1
7.931 * [taylor]: Taking taylor expansion of 0 in y
7.931 * [backup-simplify]: Simplify 0 into 0
7.931 * [taylor]: Taking taylor expansion of 1 in x
7.931 * [backup-simplify]: Simplify 1 into 1
7.931 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.932 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
7.932 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
7.933 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
7.934 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
7.934 * [taylor]: Taking taylor expansion of 1/2 in y
7.934 * [backup-simplify]: Simplify 1/2 into 1/2
7.934 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
7.934 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.934 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.934 * [taylor]: Taking taylor expansion of x in y
7.934 * [backup-simplify]: Simplify x into x
7.934 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.934 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.934 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.934 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.934 * [taylor]: Taking taylor expansion of y in y
7.934 * [backup-simplify]: Simplify 0 into 0
7.934 * [backup-simplify]: Simplify 1 into 1
7.934 * [backup-simplify]: Simplify (* 1 1) into 1
7.935 * [backup-simplify]: Simplify (/ 1 1) into 1
7.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.936 * [backup-simplify]: Simplify (+ 0 0) into 0
7.936 * [backup-simplify]: Simplify (+ 0 1) into 1
7.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.936 * [taylor]: Taking taylor expansion of 0 in x
7.936 * [backup-simplify]: Simplify 0 into 0
7.936 * [taylor]: Taking taylor expansion of 0 in x
7.936 * [backup-simplify]: Simplify 0 into 0
7.937 * [taylor]: Taking taylor expansion of 0 in x
7.937 * [backup-simplify]: Simplify 0 into 0
7.937 * [backup-simplify]: Simplify 1 into 1
7.937 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.938 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
7.938 * [backup-simplify]: Simplify (+ 0 0) into 0
7.939 * [backup-simplify]: Simplify (+ 0 0) into 0
7.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
7.939 * [taylor]: Taking taylor expansion of 0 in y
7.939 * [backup-simplify]: Simplify 0 into 0
7.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.940 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
7.941 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
7.941 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
7.941 * [taylor]: Taking taylor expansion of 1/2 in x
7.941 * [backup-simplify]: Simplify 1/2 into 1/2
7.941 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.941 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.941 * [taylor]: Taking taylor expansion of x in x
7.941 * [backup-simplify]: Simplify 0 into 0
7.941 * [backup-simplify]: Simplify 1 into 1
7.941 * [backup-simplify]: Simplify (* 1 1) into 1
7.942 * [backup-simplify]: Simplify (/ 1 1) into 1
7.942 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [taylor]: Taking taylor expansion of 0 in x
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [taylor]: Taking taylor expansion of 0 in x
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify 0 into 0
7.943 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.944 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
7.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.945 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.945 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
7.946 * [backup-simplify]: Simplify (+ 0 0) into 0
7.946 * [backup-simplify]: Simplify (+ 0 0) into 0
7.947 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
7.947 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
7.947 * [taylor]: Taking taylor expansion of -1/2 in y
7.947 * [backup-simplify]: Simplify -1/2 into -1/2
7.947 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
7.947 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
7.947 * [taylor]: Taking taylor expansion of 1/2 in y
7.947 * [backup-simplify]: Simplify 1/2 into 1/2
7.947 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
7.947 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
7.947 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.947 * [taylor]: Taking taylor expansion of x in y
7.947 * [backup-simplify]: Simplify x into x
7.947 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.947 * [taylor]: Taking taylor expansion of y in y
7.947 * [backup-simplify]: Simplify 0 into 0
7.947 * [backup-simplify]: Simplify 1 into 1
7.947 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.947 * [backup-simplify]: Simplify (* 1 1) into 1
7.948 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
7.948 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.948 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
7.948 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
7.948 * [taylor]: Taking taylor expansion of 1/4 in y
7.948 * [backup-simplify]: Simplify 1/4 into 1/4
7.948 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
7.948 * [taylor]: Taking taylor expansion of (pow x 4) in y
7.948 * [taylor]: Taking taylor expansion of x in y
7.948 * [backup-simplify]: Simplify x into x
7.948 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.948 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
7.948 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
7.948 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
7.948 * [taylor]: Taking taylor expansion of 1/4 in y
7.948 * [backup-simplify]: Simplify 1/4 into 1/4
7.948 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
7.948 * [taylor]: Taking taylor expansion of (pow y 4) in y
7.948 * [taylor]: Taking taylor expansion of y in y
7.948 * [backup-simplify]: Simplify 0 into 0
7.948 * [backup-simplify]: Simplify 1 into 1
7.948 * [backup-simplify]: Simplify (* 1 1) into 1
7.949 * [backup-simplify]: Simplify (* 1 1) into 1
7.949 * [backup-simplify]: Simplify (/ 1 1) into 1
7.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.950 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.950 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
7.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.951 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
7.952 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.958 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.958 * [backup-simplify]: Simplify (+ 0 0) into 0
7.958 * [backup-simplify]: Simplify (+ 0 0) into 0
7.958 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
7.959 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
7.959 * [backup-simplify]: Simplify (+ 0 0) into 0
7.959 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
7.960 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
7.960 * [backup-simplify]: Simplify (+ 0 0) into 0
7.960 * [backup-simplify]: Simplify (+ 0 0) into 0
7.961 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
7.961 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.961 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
7.962 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
7.962 * [taylor]: Taking taylor expansion of 0 in x
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [taylor]: Taking taylor expansion of 0 in x
7.962 * [backup-simplify]: Simplify 0 into 0
7.962 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.964 * [backup-simplify]: Simplify (+ 0 0) into 0
7.964 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
7.964 * [taylor]: Taking taylor expansion of 0 in x
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [taylor]: Taking taylor expansion of 0 in x
7.964 * [backup-simplify]: Simplify 0 into 0
7.964 * [taylor]: Taking taylor expansion of 0 in x
7.965 * [backup-simplify]: Simplify 0 into 0
7.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.966 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.966 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
7.966 * [backup-simplify]: Simplify 0 into 0
7.966 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
7.966 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
7.967 * [backup-simplify]: Simplify (sqrt (+ (* z z) (+ (* y y) (* x x)))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
7.967 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (z y x) around 0
7.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
7.967 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
7.967 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.967 * [taylor]: Taking taylor expansion of x in x
7.967 * [backup-simplify]: Simplify 0 into 0
7.967 * [backup-simplify]: Simplify 1 into 1
7.967 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
7.967 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.967 * [taylor]: Taking taylor expansion of y in x
7.967 * [backup-simplify]: Simplify y into y
7.967 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.967 * [taylor]: Taking taylor expansion of z in x
7.967 * [backup-simplify]: Simplify z into z
7.967 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.967 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.967 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
7.967 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
7.967 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
7.967 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.967 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.968 * [backup-simplify]: Simplify (+ 0 0) into 0
7.968 * [backup-simplify]: Simplify (+ 0 0) into 0
7.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
7.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
7.968 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
7.968 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.968 * [taylor]: Taking taylor expansion of x in y
7.968 * [backup-simplify]: Simplify x into x
7.968 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
7.968 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.968 * [taylor]: Taking taylor expansion of y in y
7.968 * [backup-simplify]: Simplify 0 into 0
7.968 * [backup-simplify]: Simplify 1 into 1
7.968 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.968 * [taylor]: Taking taylor expansion of z in y
7.968 * [backup-simplify]: Simplify z into z
7.968 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.969 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.969 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
7.969 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
7.969 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
7.969 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.969 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
7.969 * [backup-simplify]: Simplify (+ 0 0) into 0
7.970 * [backup-simplify]: Simplify (+ 0 0) into 0
7.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
7.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
7.970 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
7.970 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.970 * [taylor]: Taking taylor expansion of x in z
7.970 * [backup-simplify]: Simplify x into x
7.970 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
7.970 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.970 * [taylor]: Taking taylor expansion of y in z
7.970 * [backup-simplify]: Simplify y into y
7.970 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.970 * [taylor]: Taking taylor expansion of z in z
7.970 * [backup-simplify]: Simplify 0 into 0
7.970 * [backup-simplify]: Simplify 1 into 1
7.970 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.970 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.970 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.970 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.970 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.970 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.971 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.971 * [backup-simplify]: Simplify (+ 0 0) into 0
7.971 * [backup-simplify]: Simplify (+ 0 0) into 0
7.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
7.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
7.971 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.971 * [taylor]: Taking taylor expansion of x in z
7.971 * [backup-simplify]: Simplify x into x
7.971 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
7.971 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.971 * [taylor]: Taking taylor expansion of y in z
7.971 * [backup-simplify]: Simplify y into y
7.971 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.971 * [taylor]: Taking taylor expansion of z in z
7.971 * [backup-simplify]: Simplify 0 into 0
7.971 * [backup-simplify]: Simplify 1 into 1
7.971 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.972 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.972 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
7.972 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
7.972 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
7.972 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.972 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
7.972 * [backup-simplify]: Simplify (+ 0 0) into 0
7.973 * [backup-simplify]: Simplify (+ 0 0) into 0
7.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
7.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
7.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
7.973 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.973 * [taylor]: Taking taylor expansion of x in y
7.973 * [backup-simplify]: Simplify x into x
7.973 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.973 * [taylor]: Taking taylor expansion of y in y
7.973 * [backup-simplify]: Simplify 0 into 0
7.973 * [backup-simplify]: Simplify 1 into 1
7.973 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.973 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.973 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
7.973 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.973 * [backup-simplify]: Simplify (+ 0 0) into 0
7.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
7.974 * [taylor]: Taking taylor expansion of x in x
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 1 into 1
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [taylor]: Taking taylor expansion of 0 in y
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [taylor]: Taking taylor expansion of 0 in x
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [taylor]: Taking taylor expansion of 0 in x
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 0 into 0
7.974 * [backup-simplify]: Simplify 1 into 1
7.974 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.974 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
7.975 * [backup-simplify]: Simplify (* 1 1) into 1
7.975 * [backup-simplify]: Simplify (+ 0 1) into 1
7.975 * [backup-simplify]: Simplify (+ 0 1) into 1
7.976 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
7.976 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y
7.976 * [taylor]: Taking taylor expansion of 1/2 in y
7.976 * [backup-simplify]: Simplify 1/2 into 1/2
7.976 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y
7.976 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y
7.976 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
7.976 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.976 * [taylor]: Taking taylor expansion of x in y
7.976 * [backup-simplify]: Simplify x into x
7.976 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.976 * [taylor]: Taking taylor expansion of y in y
7.976 * [backup-simplify]: Simplify 0 into 0
7.976 * [backup-simplify]: Simplify 1 into 1
7.976 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.976 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
7.976 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.976 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
7.976 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
7.979 * [backup-simplify]: Simplify (+ 0 0) into 0
7.980 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
7.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
7.980 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
7.980 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.980 * [taylor]: Taking taylor expansion of 1/2 in x
7.980 * [backup-simplify]: Simplify 1/2 into 1/2
7.980 * [taylor]: Taking taylor expansion of x in x
7.980 * [backup-simplify]: Simplify 0 into 0
7.980 * [backup-simplify]: Simplify 1 into 1
7.980 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [taylor]: Taking taylor expansion of 0 in x
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify 0 into 0
7.981 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
7.982 * [backup-simplify]: Simplify (* 1 1) into 1
7.982 * [backup-simplify]: Simplify (+ 0 1) into 1
7.982 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
7.982 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
7.982 * [taylor]: Taking taylor expansion of 1/2 in x
7.982 * [backup-simplify]: Simplify 1/2 into 1/2
7.982 * [taylor]: Taking taylor expansion of x in x
7.982 * [backup-simplify]: Simplify 0 into 0
7.982 * [backup-simplify]: Simplify 1 into 1
7.983 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.983 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
7.983 * [backup-simplify]: Simplify 0 into 0
7.983 * [backup-simplify]: Simplify 0 into 0
7.983 * [backup-simplify]: Simplify 0 into 0
7.983 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
7.984 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 z) (/ 1 z)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
7.984 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
7.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
7.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
7.984 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
7.984 * [taylor]: Taking taylor expansion of (pow x 2) in x
7.984 * [taylor]: Taking taylor expansion of x in x
7.984 * [backup-simplify]: Simplify 0 into 0
7.984 * [backup-simplify]: Simplify 1 into 1
7.984 * [backup-simplify]: Simplify (* 1 1) into 1
7.985 * [backup-simplify]: Simplify (/ 1 1) into 1
7.985 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
7.985 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
7.985 * [taylor]: Taking taylor expansion of (pow z 2) in x
7.985 * [taylor]: Taking taylor expansion of z in x
7.985 * [backup-simplify]: Simplify z into z
7.985 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.985 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.985 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
7.985 * [taylor]: Taking taylor expansion of (pow y 2) in x
7.985 * [taylor]: Taking taylor expansion of y in x
7.985 * [backup-simplify]: Simplify y into y
7.985 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.985 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.985 * [backup-simplify]: Simplify (+ 1 0) into 1
7.986 * [backup-simplify]: Simplify (sqrt 1) into 1
7.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.987 * [backup-simplify]: Simplify (+ 0 0) into 0
7.987 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.987 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
7.987 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
7.987 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
7.987 * [taylor]: Taking taylor expansion of (pow x 2) in y
7.987 * [taylor]: Taking taylor expansion of x in y
7.987 * [backup-simplify]: Simplify x into x
7.987 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.988 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
7.988 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
7.988 * [taylor]: Taking taylor expansion of (pow z 2) in y
7.988 * [taylor]: Taking taylor expansion of z in y
7.988 * [backup-simplify]: Simplify z into z
7.988 * [backup-simplify]: Simplify (* z z) into (pow z 2)
7.988 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
7.988 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
7.988 * [taylor]: Taking taylor expansion of (pow y 2) in y
7.988 * [taylor]: Taking taylor expansion of y in y
7.988 * [backup-simplify]: Simplify 0 into 0
7.988 * [backup-simplify]: Simplify 1 into 1
7.988 * [backup-simplify]: Simplify (* 1 1) into 1
7.988 * [backup-simplify]: Simplify (/ 1 1) into 1
7.989 * [backup-simplify]: Simplify (+ 0 1) into 1
7.989 * [backup-simplify]: Simplify (+ 0 1) into 1
7.989 * [backup-simplify]: Simplify (sqrt 1) into 1
7.990 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.990 * [backup-simplify]: Simplify (+ 0 0) into 0
7.991 * [backup-simplify]: Simplify (+ 0 0) into 0
7.991 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.991 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.991 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.991 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.991 * [taylor]: Taking taylor expansion of x in z
7.991 * [backup-simplify]: Simplify x into x
7.991 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.991 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.991 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.991 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.991 * [taylor]: Taking taylor expansion of z in z
7.991 * [backup-simplify]: Simplify 0 into 0
7.991 * [backup-simplify]: Simplify 1 into 1
7.992 * [backup-simplify]: Simplify (* 1 1) into 1
7.992 * [backup-simplify]: Simplify (/ 1 1) into 1
7.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.992 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.992 * [taylor]: Taking taylor expansion of y in z
7.992 * [backup-simplify]: Simplify y into y
7.992 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.992 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.992 * [backup-simplify]: Simplify (+ 1 0) into 1
7.993 * [backup-simplify]: Simplify (+ 0 1) into 1
7.993 * [backup-simplify]: Simplify (sqrt 1) into 1
7.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.994 * [backup-simplify]: Simplify (+ 0 0) into 0
7.994 * [backup-simplify]: Simplify (+ 0 0) into 0
7.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.995 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
7.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
7.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
7.995 * [taylor]: Taking taylor expansion of (pow x 2) in z
7.995 * [taylor]: Taking taylor expansion of x in z
7.995 * [backup-simplify]: Simplify x into x
7.995 * [backup-simplify]: Simplify (* x x) into (pow x 2)
7.995 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
7.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
7.995 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
7.995 * [taylor]: Taking taylor expansion of (pow z 2) in z
7.995 * [taylor]: Taking taylor expansion of z in z
7.995 * [backup-simplify]: Simplify 0 into 0
7.995 * [backup-simplify]: Simplify 1 into 1
7.995 * [backup-simplify]: Simplify (* 1 1) into 1
7.996 * [backup-simplify]: Simplify (/ 1 1) into 1
7.996 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
7.996 * [taylor]: Taking taylor expansion of (pow y 2) in z
7.996 * [taylor]: Taking taylor expansion of y in z
7.996 * [backup-simplify]: Simplify y into y
7.996 * [backup-simplify]: Simplify (* y y) into (pow y 2)
7.996 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
7.996 * [backup-simplify]: Simplify (+ 1 0) into 1
7.996 * [backup-simplify]: Simplify (+ 0 1) into 1
7.997 * [backup-simplify]: Simplify (sqrt 1) into 1
7.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.998 * [backup-simplify]: Simplify (+ 0 0) into 0
7.998 * [backup-simplify]: Simplify (+ 0 0) into 0
7.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.998 * [taylor]: Taking taylor expansion of 1 in y
7.998 * [backup-simplify]: Simplify 1 into 1
7.998 * [taylor]: Taking taylor expansion of 0 in y
7.998 * [backup-simplify]: Simplify 0 into 0
7.998 * [taylor]: Taking taylor expansion of 1 in x
7.998 * [backup-simplify]: Simplify 1 into 1
7.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.000 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
8.000 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.001 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
8.001 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
8.001 * [taylor]: Taking taylor expansion of 1/2 in y
8.001 * [backup-simplify]: Simplify 1/2 into 1/2
8.001 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
8.001 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.001 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.001 * [taylor]: Taking taylor expansion of x in y
8.001 * [backup-simplify]: Simplify x into x
8.001 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.001 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.001 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.001 * [taylor]: Taking taylor expansion of y in y
8.001 * [backup-simplify]: Simplify 0 into 0
8.001 * [backup-simplify]: Simplify 1 into 1
8.002 * [backup-simplify]: Simplify (* 1 1) into 1
8.002 * [backup-simplify]: Simplify (/ 1 1) into 1
8.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.004 * [backup-simplify]: Simplify (+ 0 0) into 0
8.004 * [backup-simplify]: Simplify (+ 0 1) into 1
8.005 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.005 * [taylor]: Taking taylor expansion of 0 in x
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [taylor]: Taking taylor expansion of 0 in x
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [taylor]: Taking taylor expansion of 0 in x
8.005 * [backup-simplify]: Simplify 0 into 0
8.005 * [backup-simplify]: Simplify 1 into 1
8.005 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.006 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.008 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.008 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.008 * [backup-simplify]: Simplify (+ 0 0) into 0
8.009 * [backup-simplify]: Simplify (+ 0 0) into 0
8.010 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
8.010 * [taylor]: Taking taylor expansion of 0 in y
8.010 * [backup-simplify]: Simplify 0 into 0
8.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.011 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
8.012 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
8.012 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
8.012 * [taylor]: Taking taylor expansion of 1/2 in x
8.012 * [backup-simplify]: Simplify 1/2 into 1/2
8.012 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.012 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.012 * [taylor]: Taking taylor expansion of x in x
8.012 * [backup-simplify]: Simplify 0 into 0
8.013 * [backup-simplify]: Simplify 1 into 1
8.013 * [backup-simplify]: Simplify (* 1 1) into 1
8.013 * [backup-simplify]: Simplify (/ 1 1) into 1
8.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [taylor]: Taking taylor expansion of 0 in x
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [taylor]: Taking taylor expansion of 0 in x
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 0 into 0
8.015 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify 0 into 0
8.016 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
8.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.019 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.020 * [backup-simplify]: Simplify (+ 0 0) into 0
8.020 * [backup-simplify]: Simplify (+ 0 0) into 0
8.022 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
8.022 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
8.022 * [taylor]: Taking taylor expansion of -1/2 in y
8.022 * [backup-simplify]: Simplify -1/2 into -1/2
8.022 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
8.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
8.022 * [taylor]: Taking taylor expansion of 1/2 in y
8.022 * [backup-simplify]: Simplify 1/2 into 1/2
8.022 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
8.022 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
8.022 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.022 * [taylor]: Taking taylor expansion of x in y
8.022 * [backup-simplify]: Simplify x into x
8.022 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.022 * [taylor]: Taking taylor expansion of y in y
8.022 * [backup-simplify]: Simplify 0 into 0
8.022 * [backup-simplify]: Simplify 1 into 1
8.022 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.023 * [backup-simplify]: Simplify (* 1 1) into 1
8.023 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
8.023 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.023 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
8.023 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
8.023 * [taylor]: Taking taylor expansion of 1/4 in y
8.023 * [backup-simplify]: Simplify 1/4 into 1/4
8.023 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
8.023 * [taylor]: Taking taylor expansion of (pow x 4) in y
8.023 * [taylor]: Taking taylor expansion of x in y
8.023 * [backup-simplify]: Simplify x into x
8.023 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.023 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
8.023 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
8.023 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.024 * [taylor]: Taking taylor expansion of 1/4 in y
8.024 * [backup-simplify]: Simplify 1/4 into 1/4
8.024 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.024 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.024 * [taylor]: Taking taylor expansion of y in y
8.024 * [backup-simplify]: Simplify 0 into 0
8.024 * [backup-simplify]: Simplify 1 into 1
8.024 * [backup-simplify]: Simplify (* 1 1) into 1
8.024 * [backup-simplify]: Simplify (* 1 1) into 1
8.025 * [backup-simplify]: Simplify (/ 1 1) into 1
8.025 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.025 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.026 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
8.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.027 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
8.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.029 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.035 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.035 * [backup-simplify]: Simplify (+ 0 0) into 0
8.036 * [backup-simplify]: Simplify (+ 0 0) into 0
8.036 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
8.037 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.037 * [backup-simplify]: Simplify (+ 0 0) into 0
8.038 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
8.038 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.039 * [backup-simplify]: Simplify (+ 0 0) into 0
8.039 * [backup-simplify]: Simplify (+ 0 0) into 0
8.039 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.039 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.040 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.040 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.040 * [taylor]: Taking taylor expansion of 0 in x
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [taylor]: Taking taylor expansion of 0 in x
8.041 * [backup-simplify]: Simplify 0 into 0
8.041 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.042 * [backup-simplify]: Simplify (+ 0 0) into 0
8.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
8.043 * [taylor]: Taking taylor expansion of 0 in x
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [taylor]: Taking taylor expansion of 0 in x
8.043 * [backup-simplify]: Simplify 0 into 0
8.043 * [taylor]: Taking taylor expansion of 0 in x
8.043 * [backup-simplify]: Simplify 0 into 0
8.044 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.045 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
8.045 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
8.045 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
8.045 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
8.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
8.045 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.045 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.045 * [taylor]: Taking taylor expansion of x in x
8.045 * [backup-simplify]: Simplify 0 into 0
8.045 * [backup-simplify]: Simplify 1 into 1
8.046 * [backup-simplify]: Simplify (* 1 1) into 1
8.046 * [backup-simplify]: Simplify (/ 1 1) into 1
8.046 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
8.046 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.046 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.046 * [taylor]: Taking taylor expansion of z in x
8.046 * [backup-simplify]: Simplify z into z
8.046 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.046 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.046 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.046 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.046 * [taylor]: Taking taylor expansion of y in x
8.046 * [backup-simplify]: Simplify y into y
8.046 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.046 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.047 * [backup-simplify]: Simplify (+ 1 0) into 1
8.047 * [backup-simplify]: Simplify (sqrt 1) into 1
8.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.048 * [backup-simplify]: Simplify (+ 0 0) into 0
8.048 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
8.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
8.048 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.048 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.048 * [taylor]: Taking taylor expansion of x in y
8.049 * [backup-simplify]: Simplify x into x
8.049 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.049 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.049 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
8.049 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.049 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.049 * [taylor]: Taking taylor expansion of z in y
8.049 * [backup-simplify]: Simplify z into z
8.049 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.049 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.049 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.049 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.049 * [taylor]: Taking taylor expansion of y in y
8.049 * [backup-simplify]: Simplify 0 into 0
8.049 * [backup-simplify]: Simplify 1 into 1
8.049 * [backup-simplify]: Simplify (* 1 1) into 1
8.049 * [backup-simplify]: Simplify (/ 1 1) into 1
8.050 * [backup-simplify]: Simplify (+ 0 1) into 1
8.050 * [backup-simplify]: Simplify (+ 0 1) into 1
8.050 * [backup-simplify]: Simplify (sqrt 1) into 1
8.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.051 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.051 * [backup-simplify]: Simplify (+ 0 0) into 0
8.052 * [backup-simplify]: Simplify (+ 0 0) into 0
8.052 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.052 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.052 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.052 * [taylor]: Taking taylor expansion of x in z
8.052 * [backup-simplify]: Simplify x into x
8.052 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.052 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.052 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.052 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.052 * [taylor]: Taking taylor expansion of z in z
8.052 * [backup-simplify]: Simplify 0 into 0
8.052 * [backup-simplify]: Simplify 1 into 1
8.053 * [backup-simplify]: Simplify (* 1 1) into 1
8.053 * [backup-simplify]: Simplify (/ 1 1) into 1
8.053 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.053 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.053 * [taylor]: Taking taylor expansion of y in z
8.053 * [backup-simplify]: Simplify y into y
8.053 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.053 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.053 * [backup-simplify]: Simplify (+ 1 0) into 1
8.054 * [backup-simplify]: Simplify (+ 0 1) into 1
8.054 * [backup-simplify]: Simplify (sqrt 1) into 1
8.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.055 * [backup-simplify]: Simplify (+ 0 0) into 0
8.055 * [backup-simplify]: Simplify (+ 0 0) into 0
8.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.056 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.056 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.056 * [taylor]: Taking taylor expansion of x in z
8.056 * [backup-simplify]: Simplify x into x
8.056 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.056 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.056 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.056 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.056 * [taylor]: Taking taylor expansion of z in z
8.056 * [backup-simplify]: Simplify 0 into 0
8.056 * [backup-simplify]: Simplify 1 into 1
8.057 * [backup-simplify]: Simplify (* 1 1) into 1
8.057 * [backup-simplify]: Simplify (/ 1 1) into 1
8.057 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.057 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.057 * [taylor]: Taking taylor expansion of y in z
8.057 * [backup-simplify]: Simplify y into y
8.057 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.057 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.057 * [backup-simplify]: Simplify (+ 1 0) into 1
8.058 * [backup-simplify]: Simplify (+ 0 1) into 1
8.058 * [backup-simplify]: Simplify (sqrt 1) into 1
8.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.059 * [backup-simplify]: Simplify (+ 0 0) into 0
8.059 * [backup-simplify]: Simplify (+ 0 0) into 0
8.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.060 * [taylor]: Taking taylor expansion of 1 in y
8.060 * [backup-simplify]: Simplify 1 into 1
8.060 * [taylor]: Taking taylor expansion of 0 in y
8.060 * [backup-simplify]: Simplify 0 into 0
8.060 * [taylor]: Taking taylor expansion of 1 in x
8.060 * [backup-simplify]: Simplify 1 into 1
8.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.061 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
8.061 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.062 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
8.062 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
8.062 * [taylor]: Taking taylor expansion of 1/2 in y
8.062 * [backup-simplify]: Simplify 1/2 into 1/2
8.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
8.063 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.063 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.063 * [taylor]: Taking taylor expansion of x in y
8.063 * [backup-simplify]: Simplify x into x
8.063 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.063 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.063 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.063 * [taylor]: Taking taylor expansion of y in y
8.063 * [backup-simplify]: Simplify 0 into 0
8.063 * [backup-simplify]: Simplify 1 into 1
8.063 * [backup-simplify]: Simplify (* 1 1) into 1
8.063 * [backup-simplify]: Simplify (/ 1 1) into 1
8.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.064 * [backup-simplify]: Simplify (+ 0 0) into 0
8.065 * [backup-simplify]: Simplify (+ 0 1) into 1
8.065 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.065 * [taylor]: Taking taylor expansion of 0 in x
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [taylor]: Taking taylor expansion of 0 in x
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [taylor]: Taking taylor expansion of 0 in x
8.065 * [backup-simplify]: Simplify 0 into 0
8.065 * [backup-simplify]: Simplify 1 into 1
8.065 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.068 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.068 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.068 * [backup-simplify]: Simplify (+ 0 0) into 0
8.069 * [backup-simplify]: Simplify (+ 0 0) into 0
8.070 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
8.070 * [taylor]: Taking taylor expansion of 0 in y
8.070 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.072 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
8.072 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
8.073 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
8.073 * [taylor]: Taking taylor expansion of 1/2 in x
8.073 * [backup-simplify]: Simplify 1/2 into 1/2
8.073 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.073 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.073 * [taylor]: Taking taylor expansion of x in x
8.073 * [backup-simplify]: Simplify 0 into 0
8.073 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (* 1 1) into 1
8.073 * [backup-simplify]: Simplify (/ 1 1) into 1
8.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.076 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [taylor]: Taking taylor expansion of 0 in x
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [taylor]: Taking taylor expansion of 0 in x
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 0 into 0
8.076 * [backup-simplify]: Simplify 0 into 0
8.077 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
8.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.080 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.081 * [backup-simplify]: Simplify (+ 0 0) into 0
8.081 * [backup-simplify]: Simplify (+ 0 0) into 0
8.083 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
8.083 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
8.083 * [taylor]: Taking taylor expansion of -1/2 in y
8.083 * [backup-simplify]: Simplify -1/2 into -1/2
8.083 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
8.083 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
8.083 * [taylor]: Taking taylor expansion of 1/2 in y
8.083 * [backup-simplify]: Simplify 1/2 into 1/2
8.083 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
8.083 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
8.083 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.083 * [taylor]: Taking taylor expansion of x in y
8.083 * [backup-simplify]: Simplify x into x
8.083 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.083 * [taylor]: Taking taylor expansion of y in y
8.083 * [backup-simplify]: Simplify 0 into 0
8.083 * [backup-simplify]: Simplify 1 into 1
8.083 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.084 * [backup-simplify]: Simplify (* 1 1) into 1
8.084 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
8.084 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.084 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
8.084 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
8.084 * [taylor]: Taking taylor expansion of 1/4 in y
8.084 * [backup-simplify]: Simplify 1/4 into 1/4
8.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
8.084 * [taylor]: Taking taylor expansion of (pow x 4) in y
8.084 * [taylor]: Taking taylor expansion of x in y
8.084 * [backup-simplify]: Simplify x into x
8.084 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.085 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
8.085 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
8.085 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.085 * [taylor]: Taking taylor expansion of 1/4 in y
8.085 * [backup-simplify]: Simplify 1/4 into 1/4
8.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.085 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.085 * [taylor]: Taking taylor expansion of y in y
8.085 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [backup-simplify]: Simplify (* 1 1) into 1
8.086 * [backup-simplify]: Simplify (* 1 1) into 1
8.086 * [backup-simplify]: Simplify (/ 1 1) into 1
8.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.086 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.087 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
8.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.087 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
8.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.088 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.091 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.092 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.093 * [backup-simplify]: Simplify (+ 0 0) into 0
8.093 * [backup-simplify]: Simplify (+ 0 0) into 0
8.093 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
8.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.097 * [backup-simplify]: Simplify (+ 0 0) into 0
8.097 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
8.098 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.098 * [backup-simplify]: Simplify (+ 0 0) into 0
8.098 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.099 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.099 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.100 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.100 * [taylor]: Taking taylor expansion of 0 in x
8.100 * [backup-simplify]: Simplify 0 into 0
8.100 * [taylor]: Taking taylor expansion of 0 in x
8.100 * [backup-simplify]: Simplify 0 into 0
8.100 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.101 * [backup-simplify]: Simplify (+ 0 0) into 0
8.102 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
8.102 * [taylor]: Taking taylor expansion of 0 in x
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [taylor]: Taking taylor expansion of 0 in x
8.102 * [backup-simplify]: Simplify 0 into 0
8.102 * [taylor]: Taking taylor expansion of 0 in x
8.102 * [backup-simplify]: Simplify 0 into 0
8.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.104 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
8.104 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
8.104 * [backup-simplify]: Simplify (sqrt (+ (* z z) (+ (* y y) (* x x)))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
8.104 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (z y x) around 0
8.104 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
8.104 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
8.104 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.104 * [taylor]: Taking taylor expansion of x in x
8.104 * [backup-simplify]: Simplify 0 into 0
8.104 * [backup-simplify]: Simplify 1 into 1
8.104 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
8.104 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.104 * [taylor]: Taking taylor expansion of y in x
8.104 * [backup-simplify]: Simplify y into y
8.104 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.104 * [taylor]: Taking taylor expansion of z in x
8.104 * [backup-simplify]: Simplify z into z
8.105 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.105 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.105 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.105 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
8.105 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.105 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.105 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.106 * [backup-simplify]: Simplify (+ 0 0) into 0
8.106 * [backup-simplify]: Simplify (+ 0 0) into 0
8.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
8.106 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
8.106 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.106 * [taylor]: Taking taylor expansion of x in y
8.106 * [backup-simplify]: Simplify x into x
8.106 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.106 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.106 * [taylor]: Taking taylor expansion of y in y
8.106 * [backup-simplify]: Simplify 0 into 0
8.106 * [backup-simplify]: Simplify 1 into 1
8.106 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.106 * [taylor]: Taking taylor expansion of z in y
8.106 * [backup-simplify]: Simplify z into z
8.106 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.106 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.107 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.107 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.107 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
8.107 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.107 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.107 * [backup-simplify]: Simplify (+ 0 0) into 0
8.107 * [backup-simplify]: Simplify (+ 0 0) into 0
8.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
8.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
8.108 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
8.108 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.108 * [taylor]: Taking taylor expansion of x in z
8.108 * [backup-simplify]: Simplify x into x
8.108 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
8.108 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.108 * [taylor]: Taking taylor expansion of y in z
8.108 * [backup-simplify]: Simplify y into y
8.108 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.108 * [taylor]: Taking taylor expansion of z in z
8.108 * [backup-simplify]: Simplify 0 into 0
8.108 * [backup-simplify]: Simplify 1 into 1
8.108 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.108 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.108 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.108 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
8.108 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
8.108 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.108 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.109 * [backup-simplify]: Simplify (+ 0 0) into 0
8.109 * [backup-simplify]: Simplify (+ 0 0) into 0
8.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.109 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
8.109 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
8.109 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.109 * [taylor]: Taking taylor expansion of x in z
8.109 * [backup-simplify]: Simplify x into x
8.109 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
8.109 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.109 * [taylor]: Taking taylor expansion of y in z
8.109 * [backup-simplify]: Simplify y into y
8.109 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.109 * [taylor]: Taking taylor expansion of z in z
8.109 * [backup-simplify]: Simplify 0 into 0
8.109 * [backup-simplify]: Simplify 1 into 1
8.109 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.110 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.110 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.110 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
8.110 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
8.110 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.110 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.110 * [backup-simplify]: Simplify (+ 0 0) into 0
8.110 * [backup-simplify]: Simplify (+ 0 0) into 0
8.111 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
8.111 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
8.111 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
8.111 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.111 * [taylor]: Taking taylor expansion of x in y
8.111 * [backup-simplify]: Simplify x into x
8.111 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.111 * [taylor]: Taking taylor expansion of y in y
8.111 * [backup-simplify]: Simplify 0 into 0
8.111 * [backup-simplify]: Simplify 1 into 1
8.111 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.111 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.111 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
8.111 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.111 * [backup-simplify]: Simplify (+ 0 0) into 0
8.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
8.112 * [taylor]: Taking taylor expansion of x in x
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 1 into 1
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [taylor]: Taking taylor expansion of 0 in y
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [taylor]: Taking taylor expansion of 0 in x
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [taylor]: Taking taylor expansion of 0 in x
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 0 into 0
8.112 * [backup-simplify]: Simplify 1 into 1
8.112 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.112 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.113 * [backup-simplify]: Simplify (* 1 1) into 1
8.113 * [backup-simplify]: Simplify (+ 0 1) into 1
8.113 * [backup-simplify]: Simplify (+ 0 1) into 1
8.114 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
8.114 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y
8.114 * [taylor]: Taking taylor expansion of 1/2 in y
8.114 * [backup-simplify]: Simplify 1/2 into 1/2
8.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y
8.114 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y
8.114 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
8.114 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.114 * [taylor]: Taking taylor expansion of x in y
8.114 * [backup-simplify]: Simplify x into x
8.115 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.115 * [taylor]: Taking taylor expansion of y in y
8.115 * [backup-simplify]: Simplify 0 into 0
8.115 * [backup-simplify]: Simplify 1 into 1
8.115 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.115 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.115 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.115 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
8.115 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.116 * [backup-simplify]: Simplify (+ 0 0) into 0
8.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
8.116 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
8.116 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.116 * [taylor]: Taking taylor expansion of 1/2 in x
8.116 * [backup-simplify]: Simplify 1/2 into 1/2
8.116 * [taylor]: Taking taylor expansion of x in x
8.117 * [backup-simplify]: Simplify 0 into 0
8.117 * [backup-simplify]: Simplify 1 into 1
8.117 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.118 * [backup-simplify]: Simplify 0 into 0
8.118 * [taylor]: Taking taylor expansion of 0 in x
8.118 * [backup-simplify]: Simplify 0 into 0
8.118 * [backup-simplify]: Simplify 0 into 0
8.118 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.119 * [backup-simplify]: Simplify (* 1 1) into 1
8.119 * [backup-simplify]: Simplify (+ 0 1) into 1
8.120 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
8.120 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
8.120 * [taylor]: Taking taylor expansion of 1/2 in x
8.120 * [backup-simplify]: Simplify 1/2 into 1/2
8.120 * [taylor]: Taking taylor expansion of x in x
8.120 * [backup-simplify]: Simplify 0 into 0
8.120 * [backup-simplify]: Simplify 1 into 1
8.121 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify 0 into 0
8.122 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
8.123 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 z) (/ 1 z)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
8.123 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
8.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
8.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
8.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.123 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.123 * [taylor]: Taking taylor expansion of x in x
8.123 * [backup-simplify]: Simplify 0 into 0
8.123 * [backup-simplify]: Simplify 1 into 1
8.123 * [backup-simplify]: Simplify (* 1 1) into 1
8.124 * [backup-simplify]: Simplify (/ 1 1) into 1
8.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
8.124 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.124 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.124 * [taylor]: Taking taylor expansion of z in x
8.124 * [backup-simplify]: Simplify z into z
8.124 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.124 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.124 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.124 * [taylor]: Taking taylor expansion of y in x
8.124 * [backup-simplify]: Simplify y into y
8.124 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.124 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.125 * [backup-simplify]: Simplify (+ 1 0) into 1
8.125 * [backup-simplify]: Simplify (sqrt 1) into 1
8.126 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.127 * [backup-simplify]: Simplify (+ 0 0) into 0
8.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.128 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
8.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
8.128 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.128 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.128 * [taylor]: Taking taylor expansion of x in y
8.128 * [backup-simplify]: Simplify x into x
8.128 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.128 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
8.128 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.128 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.128 * [taylor]: Taking taylor expansion of z in y
8.128 * [backup-simplify]: Simplify z into z
8.128 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.129 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.129 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.129 * [taylor]: Taking taylor expansion of y in y
8.129 * [backup-simplify]: Simplify 0 into 0
8.129 * [backup-simplify]: Simplify 1 into 1
8.129 * [backup-simplify]: Simplify (* 1 1) into 1
8.129 * [backup-simplify]: Simplify (/ 1 1) into 1
8.130 * [backup-simplify]: Simplify (+ 0 1) into 1
8.130 * [backup-simplify]: Simplify (+ 0 1) into 1
8.131 * [backup-simplify]: Simplify (sqrt 1) into 1
8.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (+ 0 0) into 0
8.133 * [backup-simplify]: Simplify (+ 0 0) into 0
8.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.133 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.133 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.133 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.133 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.133 * [taylor]: Taking taylor expansion of x in z
8.133 * [backup-simplify]: Simplify x into x
8.134 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.134 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.134 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.134 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.134 * [taylor]: Taking taylor expansion of z in z
8.134 * [backup-simplify]: Simplify 0 into 0
8.134 * [backup-simplify]: Simplify 1 into 1
8.134 * [backup-simplify]: Simplify (* 1 1) into 1
8.134 * [backup-simplify]: Simplify (/ 1 1) into 1
8.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.134 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.134 * [taylor]: Taking taylor expansion of y in z
8.134 * [backup-simplify]: Simplify y into y
8.134 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.134 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.135 * [backup-simplify]: Simplify (+ 1 0) into 1
8.135 * [backup-simplify]: Simplify (+ 0 1) into 1
8.135 * [backup-simplify]: Simplify (sqrt 1) into 1
8.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.136 * [backup-simplify]: Simplify (+ 0 0) into 0
8.137 * [backup-simplify]: Simplify (+ 0 0) into 0
8.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.137 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.137 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.137 * [taylor]: Taking taylor expansion of x in z
8.137 * [backup-simplify]: Simplify x into x
8.137 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.137 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.137 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.137 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.137 * [taylor]: Taking taylor expansion of z in z
8.137 * [backup-simplify]: Simplify 0 into 0
8.137 * [backup-simplify]: Simplify 1 into 1
8.138 * [backup-simplify]: Simplify (* 1 1) into 1
8.138 * [backup-simplify]: Simplify (/ 1 1) into 1
8.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.138 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.138 * [taylor]: Taking taylor expansion of y in z
8.138 * [backup-simplify]: Simplify y into y
8.138 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.138 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.138 * [backup-simplify]: Simplify (+ 1 0) into 1
8.139 * [backup-simplify]: Simplify (+ 0 1) into 1
8.139 * [backup-simplify]: Simplify (sqrt 1) into 1
8.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.140 * [backup-simplify]: Simplify (+ 0 0) into 0
8.140 * [backup-simplify]: Simplify (+ 0 0) into 0
8.141 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.141 * [taylor]: Taking taylor expansion of 1 in y
8.141 * [backup-simplify]: Simplify 1 into 1
8.141 * [taylor]: Taking taylor expansion of 0 in y
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [taylor]: Taking taylor expansion of 1 in x
8.141 * [backup-simplify]: Simplify 1 into 1
8.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.142 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
8.142 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.143 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
8.143 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
8.143 * [taylor]: Taking taylor expansion of 1/2 in y
8.143 * [backup-simplify]: Simplify 1/2 into 1/2
8.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
8.143 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.143 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.143 * [taylor]: Taking taylor expansion of x in y
8.143 * [backup-simplify]: Simplify x into x
8.143 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.144 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.144 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.144 * [taylor]: Taking taylor expansion of y in y
8.144 * [backup-simplify]: Simplify 0 into 0
8.144 * [backup-simplify]: Simplify 1 into 1
8.144 * [backup-simplify]: Simplify (* 1 1) into 1
8.144 * [backup-simplify]: Simplify (/ 1 1) into 1
8.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.145 * [backup-simplify]: Simplify (+ 0 0) into 0
8.145 * [backup-simplify]: Simplify (+ 0 1) into 1
8.146 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.146 * [taylor]: Taking taylor expansion of 0 in x
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [taylor]: Taking taylor expansion of 0 in x
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [taylor]: Taking taylor expansion of 0 in x
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.148 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.148 * [backup-simplify]: Simplify (+ 0 0) into 0
8.148 * [backup-simplify]: Simplify (+ 0 0) into 0
8.149 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
8.149 * [taylor]: Taking taylor expansion of 0 in y
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.150 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
8.150 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
8.151 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
8.151 * [taylor]: Taking taylor expansion of 1/2 in x
8.151 * [backup-simplify]: Simplify 1/2 into 1/2
8.151 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.151 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.151 * [taylor]: Taking taylor expansion of x in x
8.151 * [backup-simplify]: Simplify 0 into 0
8.151 * [backup-simplify]: Simplify 1 into 1
8.151 * [backup-simplify]: Simplify (* 1 1) into 1
8.151 * [backup-simplify]: Simplify (/ 1 1) into 1
8.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [taylor]: Taking taylor expansion of 0 in x
8.152 * [backup-simplify]: Simplify 0 into 0
8.152 * [taylor]: Taking taylor expansion of 0 in x
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
8.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.155 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.155 * [backup-simplify]: Simplify (+ 0 0) into 0
8.156 * [backup-simplify]: Simplify (+ 0 0) into 0
8.157 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
8.157 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
8.157 * [taylor]: Taking taylor expansion of -1/2 in y
8.157 * [backup-simplify]: Simplify -1/2 into -1/2
8.157 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
8.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
8.157 * [taylor]: Taking taylor expansion of 1/2 in y
8.157 * [backup-simplify]: Simplify 1/2 into 1/2
8.157 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
8.157 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
8.157 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.157 * [taylor]: Taking taylor expansion of x in y
8.157 * [backup-simplify]: Simplify x into x
8.157 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.157 * [taylor]: Taking taylor expansion of y in y
8.157 * [backup-simplify]: Simplify 0 into 0
8.157 * [backup-simplify]: Simplify 1 into 1
8.157 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.157 * [backup-simplify]: Simplify (* 1 1) into 1
8.158 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
8.158 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.158 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
8.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
8.158 * [taylor]: Taking taylor expansion of 1/4 in y
8.158 * [backup-simplify]: Simplify 1/4 into 1/4
8.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
8.158 * [taylor]: Taking taylor expansion of (pow x 4) in y
8.158 * [taylor]: Taking taylor expansion of x in y
8.158 * [backup-simplify]: Simplify x into x
8.158 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.158 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
8.158 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
8.158 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.158 * [taylor]: Taking taylor expansion of 1/4 in y
8.158 * [backup-simplify]: Simplify 1/4 into 1/4
8.158 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.158 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.158 * [taylor]: Taking taylor expansion of y in y
8.158 * [backup-simplify]: Simplify 0 into 0
8.158 * [backup-simplify]: Simplify 1 into 1
8.158 * [backup-simplify]: Simplify (* 1 1) into 1
8.159 * [backup-simplify]: Simplify (* 1 1) into 1
8.159 * [backup-simplify]: Simplify (/ 1 1) into 1
8.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.159 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.160 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
8.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.160 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
8.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.162 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.166 * [backup-simplify]: Simplify (+ 0 0) into 0
8.166 * [backup-simplify]: Simplify (+ 0 0) into 0
8.166 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
8.167 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.167 * [backup-simplify]: Simplify (+ 0 0) into 0
8.167 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
8.168 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.168 * [backup-simplify]: Simplify (+ 0 0) into 0
8.168 * [backup-simplify]: Simplify (+ 0 0) into 0
8.168 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.169 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.169 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.170 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.170 * [taylor]: Taking taylor expansion of 0 in x
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [taylor]: Taking taylor expansion of 0 in x
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.171 * [backup-simplify]: Simplify (+ 0 0) into 0
8.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
8.172 * [taylor]: Taking taylor expansion of 0 in x
8.172 * [backup-simplify]: Simplify 0 into 0
8.172 * [taylor]: Taking taylor expansion of 0 in x
8.172 * [backup-simplify]: Simplify 0 into 0
8.172 * [taylor]: Taking taylor expansion of 0 in x
8.172 * [backup-simplify]: Simplify 0 into 0
8.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.174 * [backup-simplify]: Simplify 0 into 0
8.174 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
8.174 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
8.174 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
8.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
8.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
8.174 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.174 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.175 * [taylor]: Taking taylor expansion of x in x
8.175 * [backup-simplify]: Simplify 0 into 0
8.175 * [backup-simplify]: Simplify 1 into 1
8.175 * [backup-simplify]: Simplify (* 1 1) into 1
8.175 * [backup-simplify]: Simplify (/ 1 1) into 1
8.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.175 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.175 * [taylor]: Taking taylor expansion of z in x
8.175 * [backup-simplify]: Simplify z into z
8.175 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.175 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.175 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.175 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.175 * [taylor]: Taking taylor expansion of y in x
8.175 * [backup-simplify]: Simplify y into y
8.175 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.176 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.176 * [backup-simplify]: Simplify (+ 1 0) into 1
8.176 * [backup-simplify]: Simplify (sqrt 1) into 1
8.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.177 * [backup-simplify]: Simplify (+ 0 0) into 0
8.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
8.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
8.178 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.178 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.178 * [taylor]: Taking taylor expansion of x in y
8.178 * [backup-simplify]: Simplify x into x
8.178 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.178 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
8.178 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.178 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.178 * [taylor]: Taking taylor expansion of z in y
8.178 * [backup-simplify]: Simplify z into z
8.178 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.178 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.178 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.178 * [taylor]: Taking taylor expansion of y in y
8.178 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify 1 into 1
8.179 * [backup-simplify]: Simplify (* 1 1) into 1
8.179 * [backup-simplify]: Simplify (/ 1 1) into 1
8.179 * [backup-simplify]: Simplify (+ 0 1) into 1
8.179 * [backup-simplify]: Simplify (+ 0 1) into 1
8.180 * [backup-simplify]: Simplify (sqrt 1) into 1
8.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.181 * [backup-simplify]: Simplify (+ 0 0) into 0
8.181 * [backup-simplify]: Simplify (+ 0 0) into 0
8.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.182 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.182 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.182 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.182 * [taylor]: Taking taylor expansion of x in z
8.182 * [backup-simplify]: Simplify x into x
8.182 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.182 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.182 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.182 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.182 * [taylor]: Taking taylor expansion of z in z
8.182 * [backup-simplify]: Simplify 0 into 0
8.182 * [backup-simplify]: Simplify 1 into 1
8.182 * [backup-simplify]: Simplify (* 1 1) into 1
8.183 * [backup-simplify]: Simplify (/ 1 1) into 1
8.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.183 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.183 * [taylor]: Taking taylor expansion of y in z
8.183 * [backup-simplify]: Simplify y into y
8.183 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.183 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.183 * [backup-simplify]: Simplify (+ 1 0) into 1
8.183 * [backup-simplify]: Simplify (+ 0 1) into 1
8.184 * [backup-simplify]: Simplify (sqrt 1) into 1
8.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.185 * [backup-simplify]: Simplify (+ 0 0) into 0
8.185 * [backup-simplify]: Simplify (+ 0 0) into 0
8.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.186 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.186 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.186 * [taylor]: Taking taylor expansion of x in z
8.186 * [backup-simplify]: Simplify x into x
8.186 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.186 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.186 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.186 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.186 * [taylor]: Taking taylor expansion of z in z
8.186 * [backup-simplify]: Simplify 0 into 0
8.186 * [backup-simplify]: Simplify 1 into 1
8.186 * [backup-simplify]: Simplify (* 1 1) into 1
8.186 * [backup-simplify]: Simplify (/ 1 1) into 1
8.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.186 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.186 * [taylor]: Taking taylor expansion of y in z
8.186 * [backup-simplify]: Simplify y into y
8.187 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.187 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.187 * [backup-simplify]: Simplify (+ 1 0) into 1
8.187 * [backup-simplify]: Simplify (+ 0 1) into 1
8.188 * [backup-simplify]: Simplify (sqrt 1) into 1
8.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.189 * [backup-simplify]: Simplify (+ 0 0) into 0
8.189 * [backup-simplify]: Simplify (+ 0 0) into 0
8.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.190 * [taylor]: Taking taylor expansion of 1 in y
8.190 * [backup-simplify]: Simplify 1 into 1
8.190 * [taylor]: Taking taylor expansion of 0 in y
8.190 * [backup-simplify]: Simplify 0 into 0
8.190 * [taylor]: Taking taylor expansion of 1 in x
8.190 * [backup-simplify]: Simplify 1 into 1
8.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.191 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
8.191 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.192 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
8.192 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
8.192 * [taylor]: Taking taylor expansion of 1/2 in y
8.192 * [backup-simplify]: Simplify 1/2 into 1/2
8.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
8.192 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.192 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.192 * [taylor]: Taking taylor expansion of x in y
8.192 * [backup-simplify]: Simplify x into x
8.192 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.192 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.192 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.192 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.192 * [taylor]: Taking taylor expansion of y in y
8.192 * [backup-simplify]: Simplify 0 into 0
8.192 * [backup-simplify]: Simplify 1 into 1
8.193 * [backup-simplify]: Simplify (* 1 1) into 1
8.193 * [backup-simplify]: Simplify (/ 1 1) into 1
8.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.194 * [backup-simplify]: Simplify (+ 0 0) into 0
8.194 * [backup-simplify]: Simplify (+ 0 1) into 1
8.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.195 * [taylor]: Taking taylor expansion of 0 in x
8.195 * [backup-simplify]: Simplify 0 into 0
8.195 * [taylor]: Taking taylor expansion of 0 in x
8.195 * [backup-simplify]: Simplify 0 into 0
8.195 * [taylor]: Taking taylor expansion of 0 in x
8.195 * [backup-simplify]: Simplify 0 into 0
8.195 * [backup-simplify]: Simplify 1 into 1
8.195 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.197 * [backup-simplify]: Simplify (+ 0 0) into 0
8.197 * [backup-simplify]: Simplify (+ 0 0) into 0
8.198 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
8.198 * [taylor]: Taking taylor expansion of 0 in y
8.198 * [backup-simplify]: Simplify 0 into 0
8.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.199 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
8.203 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
8.203 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
8.203 * [taylor]: Taking taylor expansion of 1/2 in x
8.203 * [backup-simplify]: Simplify 1/2 into 1/2
8.203 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.203 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.203 * [taylor]: Taking taylor expansion of x in x
8.203 * [backup-simplify]: Simplify 0 into 0
8.203 * [backup-simplify]: Simplify 1 into 1
8.203 * [backup-simplify]: Simplify (* 1 1) into 1
8.203 * [backup-simplify]: Simplify (/ 1 1) into 1
8.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.205 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [taylor]: Taking taylor expansion of 0 in x
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [taylor]: Taking taylor expansion of 0 in x
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify 0 into 0
8.205 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.206 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
8.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.207 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.208 * [backup-simplify]: Simplify (+ 0 0) into 0
8.208 * [backup-simplify]: Simplify (+ 0 0) into 0
8.209 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
8.209 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
8.209 * [taylor]: Taking taylor expansion of -1/2 in y
8.209 * [backup-simplify]: Simplify -1/2 into -1/2
8.209 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
8.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
8.209 * [taylor]: Taking taylor expansion of 1/2 in y
8.209 * [backup-simplify]: Simplify 1/2 into 1/2
8.209 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
8.209 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
8.209 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.209 * [taylor]: Taking taylor expansion of x in y
8.209 * [backup-simplify]: Simplify x into x
8.209 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.209 * [taylor]: Taking taylor expansion of y in y
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify 1 into 1
8.209 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.210 * [backup-simplify]: Simplify (* 1 1) into 1
8.210 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
8.210 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.210 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
8.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
8.210 * [taylor]: Taking taylor expansion of 1/4 in y
8.210 * [backup-simplify]: Simplify 1/4 into 1/4
8.210 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
8.210 * [taylor]: Taking taylor expansion of (pow x 4) in y
8.210 * [taylor]: Taking taylor expansion of x in y
8.210 * [backup-simplify]: Simplify x into x
8.210 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.210 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
8.210 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
8.210 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.210 * [taylor]: Taking taylor expansion of 1/4 in y
8.210 * [backup-simplify]: Simplify 1/4 into 1/4
8.210 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.210 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.210 * [taylor]: Taking taylor expansion of y in y
8.210 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify 1 into 1
8.211 * [backup-simplify]: Simplify (* 1 1) into 1
8.211 * [backup-simplify]: Simplify (* 1 1) into 1
8.211 * [backup-simplify]: Simplify (/ 1 1) into 1
8.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.212 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.212 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
8.212 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
8.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.218 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.219 * [backup-simplify]: Simplify (+ 0 0) into 0
8.219 * [backup-simplify]: Simplify (+ 0 0) into 0
8.219 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
8.220 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.221 * [backup-simplify]: Simplify (+ 0 0) into 0
8.221 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
8.222 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.222 * [backup-simplify]: Simplify (+ 0 0) into 0
8.222 * [backup-simplify]: Simplify (+ 0 0) into 0
8.223 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.223 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.224 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.225 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.225 * [taylor]: Taking taylor expansion of 0 in x
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [taylor]: Taking taylor expansion of 0 in x
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
8.227 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.228 * [backup-simplify]: Simplify (+ 0 0) into 0
8.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
8.230 * [taylor]: Taking taylor expansion of 0 in x
8.230 * [backup-simplify]: Simplify 0 into 0
8.230 * [taylor]: Taking taylor expansion of 0 in x
8.230 * [backup-simplify]: Simplify 0 into 0
8.230 * [taylor]: Taking taylor expansion of 0 in x
8.230 * [backup-simplify]: Simplify 0 into 0
8.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.233 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.233 * [backup-simplify]: Simplify 0 into 0
8.233 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
8.233 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
8.233 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) into (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6)
8.233 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in (z y x) around 0
8.233 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in x
8.234 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
8.234 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
8.234 * [taylor]: Taking taylor expansion of 1/6 in x
8.234 * [backup-simplify]: Simplify 1/6 into 1/6
8.234 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
8.234 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
8.234 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.234 * [taylor]: Taking taylor expansion of x in x
8.234 * [backup-simplify]: Simplify 0 into 0
8.234 * [backup-simplify]: Simplify 1 into 1
8.234 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
8.234 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.234 * [taylor]: Taking taylor expansion of y in x
8.234 * [backup-simplify]: Simplify y into y
8.234 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.234 * [taylor]: Taking taylor expansion of z in x
8.234 * [backup-simplify]: Simplify z into z
8.234 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.234 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.234 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.234 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
8.234 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
8.235 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow y 2) (pow z 2)))) into (* 1/6 (log (+ (pow y 2) (pow z 2))))
8.235 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/6)
8.235 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in y
8.235 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in y
8.235 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in y
8.235 * [taylor]: Taking taylor expansion of 1/6 in y
8.235 * [backup-simplify]: Simplify 1/6 into 1/6
8.235 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
8.235 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
8.235 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.235 * [taylor]: Taking taylor expansion of x in y
8.235 * [backup-simplify]: Simplify x into x
8.235 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.235 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.235 * [taylor]: Taking taylor expansion of y in y
8.235 * [backup-simplify]: Simplify 0 into 0
8.235 * [backup-simplify]: Simplify 1 into 1
8.235 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.235 * [taylor]: Taking taylor expansion of z in y
8.235 * [backup-simplify]: Simplify z into z
8.235 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.235 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.235 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.235 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.236 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2)))
8.236 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow z 2)))) into (* 1/6 (log (+ (pow x 2) (pow z 2))))
8.236 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/6)
8.236 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in z
8.236 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z
8.236 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z
8.236 * [taylor]: Taking taylor expansion of 1/6 in z
8.236 * [backup-simplify]: Simplify 1/6 into 1/6
8.236 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
8.236 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
8.236 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.236 * [taylor]: Taking taylor expansion of x in z
8.236 * [backup-simplify]: Simplify x into x
8.236 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
8.236 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.236 * [taylor]: Taking taylor expansion of y in z
8.236 * [backup-simplify]: Simplify y into y
8.236 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.236 * [taylor]: Taking taylor expansion of z in z
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify 1 into 1
8.236 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.236 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.236 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.237 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
8.237 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
8.237 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow y 2)))) into (* 1/6 (log (+ (pow x 2) (pow y 2))))
8.237 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
8.237 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in z
8.237 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z
8.237 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z
8.237 * [taylor]: Taking taylor expansion of 1/6 in z
8.237 * [backup-simplify]: Simplify 1/6 into 1/6
8.237 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
8.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
8.237 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.237 * [taylor]: Taking taylor expansion of x in z
8.237 * [backup-simplify]: Simplify x into x
8.237 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
8.237 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.237 * [taylor]: Taking taylor expansion of y in z
8.237 * [backup-simplify]: Simplify y into y
8.237 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.237 * [taylor]: Taking taylor expansion of z in z
8.237 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify 1 into 1
8.237 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.237 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.238 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
8.238 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
8.238 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
8.238 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow y 2)))) into (* 1/6 (log (+ (pow x 2) (pow y 2))))
8.238 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
8.238 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y
8.238 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y
8.238 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y
8.238 * [taylor]: Taking taylor expansion of 1/6 in y
8.238 * [backup-simplify]: Simplify 1/6 into 1/6
8.238 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y
8.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
8.238 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.238 * [taylor]: Taking taylor expansion of x in y
8.238 * [backup-simplify]: Simplify x into x
8.238 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.238 * [taylor]: Taking taylor expansion of y in y
8.238 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.239 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.239 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.239 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
8.239 * [backup-simplify]: Simplify (* 1/6 (log (pow x 2))) into (* 1/6 (log (pow x 2)))
8.239 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow x 2)))) into (pow (pow x 2) 1/6)
8.239 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/6) in x
8.239 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow x 2)))) in x
8.239 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow x 2))) in x
8.239 * [taylor]: Taking taylor expansion of 1/6 in x
8.239 * [backup-simplify]: Simplify 1/6 into 1/6
8.239 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x
8.239 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.239 * [taylor]: Taking taylor expansion of x in x
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.240 * [backup-simplify]: Simplify (* 1 1) into 1
8.240 * [backup-simplify]: Simplify (log 1) into 0
8.240 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x))
8.240 * [backup-simplify]: Simplify (* 1/6 (* 2 (log x))) into (* 1/3 (log x))
8.240 * [backup-simplify]: Simplify (exp (* 1/3 (log x))) into (pow x 1/3)
8.240 * [backup-simplify]: Simplify (pow x 1/3) into (pow x 1/3)
8.240 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.240 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.241 * [backup-simplify]: Simplify (+ 0 0) into 0
8.241 * [backup-simplify]: Simplify (+ 0 0) into 0
8.242 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow x 2) (pow y 2)) 1)))) 1) into 0
8.242 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (+ (pow x 2) (pow y 2))))) into 0
8.243 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
8.243 * [taylor]: Taking taylor expansion of 0 in y
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [taylor]: Taking taylor expansion of 0 in x
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify 0 into 0
8.243 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.243 * [backup-simplify]: Simplify (+ 0 0) into 0
8.244 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0
8.244 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow x 2)))) into 0
8.245 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.245 * [taylor]: Taking taylor expansion of 0 in x
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify 0 into 0
8.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.246 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.246 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x))
8.246 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log x)))) into 0
8.247 * [backup-simplify]: Simplify (* (exp (* 1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
8.247 * [backup-simplify]: Simplify 0 into 0
8.247 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.248 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.248 * [backup-simplify]: Simplify (* 1 1) into 1
8.248 * [backup-simplify]: Simplify (+ 0 1) into 1
8.248 * [backup-simplify]: Simplify (+ 0 1) into 1
8.250 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow x 2) (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow x 2) (pow y 2)) 1)))) 2) into (/ 1 (+ (pow x 2) (pow y 2)))
8.250 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (+ (pow x 2) (pow y 2)))) (+ (* 0 0) (* 0 (log (+ (pow x 2) (pow y 2)))))) into (* 1/6 (/ 1 (+ (pow x 2) (pow y 2))))
8.251 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (+ (pow x 2) (pow y 2)))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6))
8.251 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6)) in y
8.251 * [taylor]: Taking taylor expansion of 1/6 in y
8.251 * [backup-simplify]: Simplify 1/6 into 1/6
8.251 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6) in y
8.251 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))) in y
8.251 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)))) in y
8.251 * [taylor]: Taking taylor expansion of 1/6 in y
8.251 * [backup-simplify]: Simplify 1/6 into 1/6
8.251 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))) in y
8.251 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) in y
8.251 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 5) in y
8.251 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
8.251 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.251 * [taylor]: Taking taylor expansion of x in y
8.251 * [backup-simplify]: Simplify x into x
8.251 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.251 * [taylor]: Taking taylor expansion of y in y
8.251 * [backup-simplify]: Simplify 0 into 0
8.251 * [backup-simplify]: Simplify 1 into 1
8.252 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.252 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.252 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
8.252 * [backup-simplify]: Simplify (* (pow x 4) (pow x 4)) into (pow x 8)
8.252 * [backup-simplify]: Simplify (* (pow x 2) (pow x 8)) into (pow x 10)
8.252 * [backup-simplify]: Simplify (/ 1 (pow x 10)) into (/ 1 (pow x 10))
8.252 * [backup-simplify]: Simplify (log (/ 1 (pow x 10))) into (log (/ 1 (pow x 10)))
8.252 * [backup-simplify]: Simplify (* 1/6 (log (/ 1 (pow x 10)))) into (* 1/6 (log (/ 1 (pow x 10))))
8.252 * [backup-simplify]: Simplify (exp (* 1/6 (log (/ 1 (pow x 10))))) into (pow (/ 1 (pow x 10)) 1/6)
8.253 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow x 10)) 1/6)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
8.253 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) in x
8.253 * [taylor]: Taking taylor expansion of 1/6 in x
8.253 * [backup-simplify]: Simplify 1/6 into 1/6
8.253 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 5)) 1/3) in x
8.253 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 5))))) in x
8.253 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 5)))) in x
8.253 * [taylor]: Taking taylor expansion of 1/3 in x
8.253 * [backup-simplify]: Simplify 1/3 into 1/3
8.253 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 5))) in x
8.253 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x
8.253 * [taylor]: Taking taylor expansion of (pow x 5) in x
8.253 * [taylor]: Taking taylor expansion of x in x
8.253 * [backup-simplify]: Simplify 0 into 0
8.253 * [backup-simplify]: Simplify 1 into 1
8.253 * [backup-simplify]: Simplify (* 1 1) into 1
8.253 * [backup-simplify]: Simplify (* 1 1) into 1
8.254 * [backup-simplify]: Simplify (* 1 1) into 1
8.254 * [backup-simplify]: Simplify (/ 1 1) into 1
8.254 * [backup-simplify]: Simplify (log 1) into 0
8.254 * [backup-simplify]: Simplify (+ (* (- 5) (log x)) 0) into (- (* 5 (log x)))
8.254 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log x)))) into (* -5/3 (log x))
8.254 * [backup-simplify]: Simplify (exp (* -5/3 (log x))) into (pow x -5/3)
8.255 * [backup-simplify]: Simplify (* 1/6 (pow x -5/3)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
8.255 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
8.255 * [taylor]: Taking taylor expansion of 0 in x
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
8.255 * [backup-simplify]: Simplify (* 1 1) into 1
8.256 * [backup-simplify]: Simplify (+ 0 1) into 1
8.257 * [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))
8.257 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 1/6 (/ 1 (pow x 2)))
8.258 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow x 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
8.258 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) in x
8.258 * [taylor]: Taking taylor expansion of 1/6 in x
8.258 * [backup-simplify]: Simplify 1/6 into 1/6
8.258 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 5)) 1/3) in x
8.258 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 5))))) in x
8.258 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 5)))) in x
8.258 * [taylor]: Taking taylor expansion of 1/3 in x
8.258 * [backup-simplify]: Simplify 1/3 into 1/3
8.258 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 5))) in x
8.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x
8.258 * [taylor]: Taking taylor expansion of (pow x 5) in x
8.258 * [taylor]: Taking taylor expansion of x in x
8.258 * [backup-simplify]: Simplify 0 into 0
8.258 * [backup-simplify]: Simplify 1 into 1
8.259 * [backup-simplify]: Simplify (* 1 1) into 1
8.259 * [backup-simplify]: Simplify (* 1 1) into 1
8.259 * [backup-simplify]: Simplify (* 1 1) into 1
8.259 * [backup-simplify]: Simplify (/ 1 1) into 1
8.260 * [backup-simplify]: Simplify (log 1) into 0
8.260 * [backup-simplify]: Simplify (+ (* (- 5) (log x)) 0) into (- (* 5 (log x)))
8.260 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log x)))) into (* -5/3 (log x))
8.260 * [backup-simplify]: Simplify (exp (* -5/3 (log x))) into (pow x -5/3)
8.260 * [backup-simplify]: Simplify (* 1/6 (pow x -5/3)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
8.260 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
8.261 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) (pow (* 1 (* y 1)) 2)) (+ (* (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) (pow (* 1 (* 1 z)) 2)) (pow x 1/3))) into (+ (pow x 1/3) (+ (* 1/6 (* (pow (/ 1 (pow x 5)) 1/3) (pow y 2))) (* 1/6 (* (pow (/ 1 (pow x 5)) 1/3) (pow z 2)))))
8.261 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 z) (/ 1 z)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6)
8.261 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in (z y x) around 0
8.261 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
8.262 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
8.262 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
8.262 * [taylor]: Taking taylor expansion of 1/6 in x
8.262 * [backup-simplify]: Simplify 1/6 into 1/6
8.262 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
8.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
8.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.262 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.262 * [taylor]: Taking taylor expansion of x in x
8.262 * [backup-simplify]: Simplify 0 into 0
8.262 * [backup-simplify]: Simplify 1 into 1
8.262 * [backup-simplify]: Simplify (* 1 1) into 1
8.262 * [backup-simplify]: Simplify (/ 1 1) into 1
8.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
8.262 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.262 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.262 * [taylor]: Taking taylor expansion of z in x
8.262 * [backup-simplify]: Simplify z into z
8.262 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.262 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.262 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.262 * [taylor]: Taking taylor expansion of y in x
8.263 * [backup-simplify]: Simplify y into y
8.263 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.263 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.263 * [backup-simplify]: Simplify (+ 1 0) into 1
8.263 * [backup-simplify]: Simplify (log 1) into 0
8.263 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
8.264 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
8.264 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
8.264 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in y
8.264 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
8.264 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
8.264 * [taylor]: Taking taylor expansion of 1/6 in y
8.264 * [backup-simplify]: Simplify 1/6 into 1/6
8.264 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
8.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
8.264 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.264 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.264 * [taylor]: Taking taylor expansion of x in y
8.264 * [backup-simplify]: Simplify x into x
8.264 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.264 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
8.264 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.264 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.264 * [taylor]: Taking taylor expansion of z in y
8.264 * [backup-simplify]: Simplify z into z
8.264 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.264 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.264 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.264 * [taylor]: Taking taylor expansion of y in y
8.264 * [backup-simplify]: Simplify 0 into 0
8.264 * [backup-simplify]: Simplify 1 into 1
8.265 * [backup-simplify]: Simplify (* 1 1) into 1
8.265 * [backup-simplify]: Simplify (/ 1 1) into 1
8.265 * [backup-simplify]: Simplify (+ 0 1) into 1
8.265 * [backup-simplify]: Simplify (+ 0 1) into 1
8.266 * [backup-simplify]: Simplify (log 1) into 0
8.266 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.267 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
8.267 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
8.267 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
8.267 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
8.267 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
8.267 * [taylor]: Taking taylor expansion of 1/6 in z
8.267 * [backup-simplify]: Simplify 1/6 into 1/6
8.267 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.267 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.267 * [taylor]: Taking taylor expansion of x in z
8.267 * [backup-simplify]: Simplify x into x
8.267 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.267 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.267 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.267 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.267 * [taylor]: Taking taylor expansion of z in z
8.267 * [backup-simplify]: Simplify 0 into 0
8.267 * [backup-simplify]: Simplify 1 into 1
8.268 * [backup-simplify]: Simplify (* 1 1) into 1
8.268 * [backup-simplify]: Simplify (/ 1 1) into 1
8.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.268 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.268 * [taylor]: Taking taylor expansion of y in z
8.268 * [backup-simplify]: Simplify y into y
8.268 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.269 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.269 * [backup-simplify]: Simplify (+ 1 0) into 1
8.269 * [backup-simplify]: Simplify (+ 0 1) into 1
8.270 * [backup-simplify]: Simplify (log 1) into 0
8.270 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.270 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
8.270 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
8.270 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
8.271 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
8.271 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
8.271 * [taylor]: Taking taylor expansion of 1/6 in z
8.271 * [backup-simplify]: Simplify 1/6 into 1/6
8.271 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.271 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.271 * [taylor]: Taking taylor expansion of x in z
8.271 * [backup-simplify]: Simplify x into x
8.271 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.271 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.271 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.271 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.271 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.271 * [taylor]: Taking taylor expansion of z in z
8.271 * [backup-simplify]: Simplify 0 into 0
8.271 * [backup-simplify]: Simplify 1 into 1
8.272 * [backup-simplify]: Simplify (* 1 1) into 1
8.272 * [backup-simplify]: Simplify (/ 1 1) into 1
8.272 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.272 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.272 * [taylor]: Taking taylor expansion of y in z
8.272 * [backup-simplify]: Simplify y into y
8.272 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.272 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.273 * [backup-simplify]: Simplify (+ 1 0) into 1
8.273 * [backup-simplify]: Simplify (+ 0 1) into 1
8.274 * [backup-simplify]: Simplify (log 1) into 0
8.274 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.274 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
8.274 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
8.274 * [taylor]: Taking taylor expansion of (pow z -1/3) in y
8.275 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in y
8.275 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in y
8.275 * [taylor]: Taking taylor expansion of -1/3 in y
8.275 * [backup-simplify]: Simplify -1/3 into -1/3
8.275 * [taylor]: Taking taylor expansion of (log z) in y
8.275 * [taylor]: Taking taylor expansion of z in y
8.275 * [backup-simplify]: Simplify z into z
8.275 * [backup-simplify]: Simplify (log z) into (log z)
8.275 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
8.275 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
8.275 * [taylor]: Taking taylor expansion of (pow z -1/3) in x
8.275 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in x
8.275 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in x
8.275 * [taylor]: Taking taylor expansion of -1/3 in x
8.275 * [backup-simplify]: Simplify -1/3 into -1/3
8.275 * [taylor]: Taking taylor expansion of (log z) in x
8.275 * [taylor]: Taking taylor expansion of z in x
8.275 * [backup-simplify]: Simplify z into z
8.275 * [backup-simplify]: Simplify (log z) into (log z)
8.275 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
8.275 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
8.276 * [backup-simplify]: Simplify (pow z -1/3) into (pow z -1/3)
8.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.278 * [backup-simplify]: Simplify (+ 0 0) into 0
8.278 * [backup-simplify]: Simplify (+ 0 0) into 0
8.279 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.280 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.280 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log z))))) into 0
8.281 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
8.281 * [taylor]: Taking taylor expansion of 0 in y
8.281 * [backup-simplify]: Simplify 0 into 0
8.281 * [taylor]: Taking taylor expansion of 0 in x
8.281 * [backup-simplify]: Simplify 0 into 0
8.281 * [backup-simplify]: Simplify 0 into 0
8.282 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
8.282 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
8.283 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
8.283 * [taylor]: Taking taylor expansion of 0 in x
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify 0 into 0
8.283 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
8.284 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
8.284 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
8.284 * [backup-simplify]: Simplify 0 into 0
8.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.285 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
8.286 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.287 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))
8.287 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.288 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log z)))))) into (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2))))
8.289 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3))
8.289 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3)) in y
8.289 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) in y
8.289 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in y
8.289 * [taylor]: Taking taylor expansion of 1/6 in y
8.289 * [backup-simplify]: Simplify 1/6 into 1/6
8.289 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.289 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.289 * [taylor]: Taking taylor expansion of x in y
8.289 * [backup-simplify]: Simplify x into x
8.289 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.289 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.289 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y
8.289 * [taylor]: Taking taylor expansion of 1/6 in y
8.289 * [backup-simplify]: Simplify 1/6 into 1/6
8.289 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.289 * [taylor]: Taking taylor expansion of y in y
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 1 into 1
8.289 * [backup-simplify]: Simplify (* 1 1) into 1
8.290 * [backup-simplify]: Simplify (/ 1 1) into 1
8.290 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in y
8.290 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in y
8.290 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in y
8.290 * [taylor]: Taking taylor expansion of 1/3 in y
8.290 * [backup-simplify]: Simplify 1/3 into 1/3
8.290 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in y
8.290 * [taylor]: Taking taylor expansion of (/ 1 z) in y
8.290 * [taylor]: Taking taylor expansion of z in y
8.290 * [backup-simplify]: Simplify z into z
8.290 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
8.290 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
8.290 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
8.290 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
8.290 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
8.291 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
8.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
8.291 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
8.292 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
8.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
8.293 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
8.293 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
8.294 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.295 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
8.296 * [backup-simplify]: Simplify (+ 0 0) into 0
8.296 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.296 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow x 2))) into (/ 1/6 (pow x 2))
8.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.298 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
8.298 * [backup-simplify]: Simplify (+ (/ 1/6 (pow x 2)) 0) into (* 1/6 (/ 1 (pow x 2)))
8.299 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* (* 1/6 (/ 1 (pow x 2))) (pow (/ 1 z) 1/3)))) into (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3)))
8.299 * [taylor]: Taking taylor expansion of (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3))) in x
8.299 * [taylor]: Taking taylor expansion of 1/6 in x
8.299 * [backup-simplify]: Simplify 1/6 into 1/6
8.299 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3)) in x
8.299 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.299 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.299 * [taylor]: Taking taylor expansion of x in x
8.299 * [backup-simplify]: Simplify 0 into 0
8.299 * [backup-simplify]: Simplify 1 into 1
8.299 * [backup-simplify]: Simplify (* 1 1) into 1
8.300 * [backup-simplify]: Simplify (/ 1 1) into 1
8.300 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in x
8.300 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in x
8.300 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in x
8.300 * [taylor]: Taking taylor expansion of 1/3 in x
8.300 * [backup-simplify]: Simplify 1/3 into 1/3
8.300 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in x
8.300 * [taylor]: Taking taylor expansion of (/ 1 z) in x
8.300 * [taylor]: Taking taylor expansion of z in x
8.300 * [backup-simplify]: Simplify z into z
8.300 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
8.300 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
8.300 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
8.300 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
8.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
8.301 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
8.301 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
8.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
8.302 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
8.303 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
8.303 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.305 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
8.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 z) 1/3))) into 0
8.307 * [backup-simplify]: Simplify (* 1 (pow (/ 1 z) 1/3)) into (pow (/ 1 z) 1/3)
8.308 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [taylor]: Taking taylor expansion of 0 in x
8.308 * [backup-simplify]: Simplify 0 into 0
8.308 * [backup-simplify]: Simplify 0 into 0
8.309 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow z 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow z 1)))) 2) into 0
8.310 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log z)))) into 0
8.310 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.311 * [taylor]: Taking taylor expansion of 0 in x
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify (pow (/ 1 z) -1/3) into (pow (/ 1 z) -1/3)
8.311 * [backup-simplify]: Simplify (cbrt (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6)
8.311 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in (z y x) around 0
8.311 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
8.311 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
8.311 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
8.311 * [taylor]: Taking taylor expansion of 1/6 in x
8.311 * [backup-simplify]: Simplify 1/6 into 1/6
8.311 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
8.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
8.311 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.311 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.311 * [taylor]: Taking taylor expansion of x in x
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 1 into 1
8.312 * [backup-simplify]: Simplify (* 1 1) into 1
8.315 * [backup-simplify]: Simplify (/ 1 1) into 1
8.316 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
8.316 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.316 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.316 * [taylor]: Taking taylor expansion of z in x
8.316 * [backup-simplify]: Simplify z into z
8.316 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.316 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.316 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.316 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.316 * [taylor]: Taking taylor expansion of y in x
8.316 * [backup-simplify]: Simplify y into y
8.316 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.316 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.317 * [backup-simplify]: Simplify (+ 1 0) into 1
8.317 * [backup-simplify]: Simplify (log 1) into 0
8.318 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
8.318 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
8.318 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
8.318 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in y
8.318 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
8.318 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
8.318 * [taylor]: Taking taylor expansion of 1/6 in y
8.318 * [backup-simplify]: Simplify 1/6 into 1/6
8.318 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
8.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
8.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.318 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.318 * [taylor]: Taking taylor expansion of x in y
8.318 * [backup-simplify]: Simplify x into x
8.319 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
8.319 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.319 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.319 * [taylor]: Taking taylor expansion of z in y
8.319 * [backup-simplify]: Simplify z into z
8.319 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.319 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.319 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.319 * [taylor]: Taking taylor expansion of y in y
8.319 * [backup-simplify]: Simplify 0 into 0
8.319 * [backup-simplify]: Simplify 1 into 1
8.319 * [backup-simplify]: Simplify (* 1 1) into 1
8.320 * [backup-simplify]: Simplify (/ 1 1) into 1
8.320 * [backup-simplify]: Simplify (+ 0 1) into 1
8.321 * [backup-simplify]: Simplify (+ 0 1) into 1
8.321 * [backup-simplify]: Simplify (log 1) into 0
8.321 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
8.321 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
8.322 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
8.322 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
8.322 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
8.322 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
8.322 * [taylor]: Taking taylor expansion of 1/6 in z
8.322 * [backup-simplify]: Simplify 1/6 into 1/6
8.322 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.322 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.322 * [taylor]: Taking taylor expansion of x in z
8.322 * [backup-simplify]: Simplify x into x
8.322 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.322 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.322 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.322 * [taylor]: Taking taylor expansion of z in z
8.322 * [backup-simplify]: Simplify 0 into 0
8.322 * [backup-simplify]: Simplify 1 into 1
8.323 * [backup-simplify]: Simplify (* 1 1) into 1
8.323 * [backup-simplify]: Simplify (/ 1 1) into 1
8.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.323 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.323 * [taylor]: Taking taylor expansion of y in z
8.323 * [backup-simplify]: Simplify y into y
8.323 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.323 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.324 * [backup-simplify]: Simplify (+ 1 0) into 1
8.324 * [backup-simplify]: Simplify (+ 0 1) into 1
8.324 * [backup-simplify]: Simplify (log 1) into 0
8.325 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.325 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
8.325 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
8.325 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
8.325 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
8.325 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
8.325 * [taylor]: Taking taylor expansion of 1/6 in z
8.325 * [backup-simplify]: Simplify 1/6 into 1/6
8.325 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
8.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
8.325 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.325 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.325 * [taylor]: Taking taylor expansion of x in z
8.325 * [backup-simplify]: Simplify x into x
8.325 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.326 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
8.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.326 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.326 * [taylor]: Taking taylor expansion of z in z
8.326 * [backup-simplify]: Simplify 0 into 0
8.326 * [backup-simplify]: Simplify 1 into 1
8.326 * [backup-simplify]: Simplify (* 1 1) into 1
8.326 * [backup-simplify]: Simplify (/ 1 1) into 1
8.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.326 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.327 * [taylor]: Taking taylor expansion of y in z
8.327 * [backup-simplify]: Simplify y into y
8.327 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.327 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.327 * [backup-simplify]: Simplify (+ 1 0) into 1
8.328 * [backup-simplify]: Simplify (+ 0 1) into 1
8.328 * [backup-simplify]: Simplify (log 1) into 0
8.328 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.328 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
8.329 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
8.329 * [taylor]: Taking taylor expansion of (pow z -1/3) in y
8.329 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in y
8.329 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in y
8.329 * [taylor]: Taking taylor expansion of -1/3 in y
8.329 * [backup-simplify]: Simplify -1/3 into -1/3
8.329 * [taylor]: Taking taylor expansion of (log z) in y
8.329 * [taylor]: Taking taylor expansion of z in y
8.329 * [backup-simplify]: Simplify z into z
8.329 * [backup-simplify]: Simplify (log z) into (log z)
8.329 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
8.329 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
8.329 * [taylor]: Taking taylor expansion of (pow z -1/3) in x
8.329 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in x
8.329 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in x
8.329 * [taylor]: Taking taylor expansion of -1/3 in x
8.329 * [backup-simplify]: Simplify -1/3 into -1/3
8.329 * [taylor]: Taking taylor expansion of (log z) in x
8.329 * [taylor]: Taking taylor expansion of z in x
8.329 * [backup-simplify]: Simplify z into z
8.329 * [backup-simplify]: Simplify (log z) into (log z)
8.329 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
8.329 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
8.329 * [backup-simplify]: Simplify (pow z -1/3) into (pow z -1/3)
8.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.331 * [backup-simplify]: Simplify (+ 0 0) into 0
8.331 * [backup-simplify]: Simplify (+ 0 0) into 0
8.332 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
8.332 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.332 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log z))))) into 0
8.333 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
8.333 * [taylor]: Taking taylor expansion of 0 in y
8.333 * [backup-simplify]: Simplify 0 into 0
8.333 * [taylor]: Taking taylor expansion of 0 in x
8.333 * [backup-simplify]: Simplify 0 into 0
8.333 * [backup-simplify]: Simplify 0 into 0
8.333 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
8.334 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
8.334 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
8.334 * [taylor]: Taking taylor expansion of 0 in x
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [backup-simplify]: Simplify 0 into 0
8.335 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
8.335 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
8.336 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
8.336 * [backup-simplify]: Simplify 0 into 0
8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.337 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
8.337 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
8.338 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))
8.339 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
8.339 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log z)))))) into (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2))))
8.340 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3))
8.340 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3)) in y
8.340 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) in y
8.340 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in y
8.340 * [taylor]: Taking taylor expansion of 1/6 in y
8.340 * [backup-simplify]: Simplify 1/6 into 1/6
8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.340 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.340 * [taylor]: Taking taylor expansion of x in y
8.340 * [backup-simplify]: Simplify x into x
8.340 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.340 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.340 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y
8.340 * [taylor]: Taking taylor expansion of 1/6 in y
8.340 * [backup-simplify]: Simplify 1/6 into 1/6
8.341 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.341 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.341 * [taylor]: Taking taylor expansion of y in y
8.341 * [backup-simplify]: Simplify 0 into 0
8.341 * [backup-simplify]: Simplify 1 into 1
8.341 * [backup-simplify]: Simplify (* 1 1) into 1
8.341 * [backup-simplify]: Simplify (/ 1 1) into 1
8.341 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in y
8.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in y
8.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in y
8.341 * [taylor]: Taking taylor expansion of 1/3 in y
8.341 * [backup-simplify]: Simplify 1/3 into 1/3
8.341 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in y
8.341 * [taylor]: Taking taylor expansion of (/ 1 z) in y
8.341 * [taylor]: Taking taylor expansion of z in y
8.341 * [backup-simplify]: Simplify z into z
8.341 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
8.341 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
8.341 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
8.341 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
8.342 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
8.342 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
8.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
8.343 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
8.343 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
8.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
8.344 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
8.345 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
8.346 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.347 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
8.347 * [backup-simplify]: Simplify (+ 0 0) into 0
8.348 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.348 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow x 2))) into (/ 1/6 (pow x 2))
8.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.350 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
8.350 * [backup-simplify]: Simplify (+ (/ 1/6 (pow x 2)) 0) into (* 1/6 (/ 1 (pow x 2)))
8.351 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* (* 1/6 (/ 1 (pow x 2))) (pow (/ 1 z) 1/3)))) into (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3)))
8.351 * [taylor]: Taking taylor expansion of (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3))) in x
8.351 * [taylor]: Taking taylor expansion of 1/6 in x
8.351 * [backup-simplify]: Simplify 1/6 into 1/6
8.351 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3)) in x
8.351 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.351 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.351 * [taylor]: Taking taylor expansion of x in x
8.351 * [backup-simplify]: Simplify 0 into 0
8.351 * [backup-simplify]: Simplify 1 into 1
8.351 * [backup-simplify]: Simplify (* 1 1) into 1
8.351 * [backup-simplify]: Simplify (/ 1 1) into 1
8.351 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in x
8.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in x
8.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in x
8.351 * [taylor]: Taking taylor expansion of 1/3 in x
8.351 * [backup-simplify]: Simplify 1/3 into 1/3
8.351 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in x
8.351 * [taylor]: Taking taylor expansion of (/ 1 z) in x
8.351 * [taylor]: Taking taylor expansion of z in x
8.351 * [backup-simplify]: Simplify z into z
8.351 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
8.352 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
8.352 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
8.352 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
8.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
8.352 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
8.353 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
8.354 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
8.355 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
8.356 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.358 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
8.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
8.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 z) 1/3))) into 0
8.360 * [backup-simplify]: Simplify (* 1 (pow (/ 1 z) 1/3)) into (pow (/ 1 z) 1/3)
8.361 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
8.361 * [backup-simplify]: Simplify 0 into 0
8.361 * [taylor]: Taking taylor expansion of 0 in x
8.361 * [backup-simplify]: Simplify 0 into 0
8.361 * [backup-simplify]: Simplify 0 into 0
8.362 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow z 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow z 1)))) 2) into 0
8.362 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log z)))) into 0
8.363 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
8.363 * [taylor]: Taking taylor expansion of 0 in x
8.363 * [backup-simplify]: Simplify 0 into 0
8.363 * [backup-simplify]: Simplify 0 into 0
8.363 * [backup-simplify]: Simplify (pow (/ 1 (- z)) -1/3) into (pow (/ -1 z) -1/3)
8.363 * * * [progress]: simplifying candidates
8.365 * [simplify]: Simplifying:
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (* (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt (+ (* z z) (+ (* y y) (* x x))))) (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (* (cbrt (+ (* z z) (+ (* y y) (* x x)))) (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt 1)
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (* z z) 3) (pow (+ (* y y) (* x x)) 3)))
  (sqrt (+ (* (* z z) (* z z)) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (+ (* y y) (* x x))))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  (/ 1 2)
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (* (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt (+ (* z z) (+ (* y y) (* x x))))) (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (* (cbrt (+ (* z z) (+ (* y y) (* x x)))) (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt 1)
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (* z z) 3) (pow (+ (* y y) (* x x)) 3)))
  (sqrt (+ (* (* z z) (* z z)) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (+ (* y y) (* x x))))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  (/ 1 2)
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (* (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt (+ (* z z) (+ (* y y) (* x x))))) (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (* (cbrt (+ (* z z) (+ (* y y) (* x x)))) (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt 1)
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (* z z) 3) (pow (+ (* y y) (* x x)) 3)))
  (sqrt (+ (* (* z z) (* z z)) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (+ (* y y) (* x x))))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  (/ 1 2)
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (exp (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))
  (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (* (cbrt (+ (* z z) (+ (* y y) (* x x)))) (cbrt (+ (* z z) (+ (* y y) (* x x)))))))
  (cbrt (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt 1))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt 1)
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (pow (* z z) 3) (pow (+ (* y y) (* x x)) 3))))
  (cbrt (sqrt (+ (* (* z z) (* z z)) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (+ (* y y) (* x x)))))))
  (cbrt (sqrt (- (* (* z z) (* z z)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))
  (cbrt (sqrt (- (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))) (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))
  (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  x
  z
  (* -1 z)
  x
  z
  (* -1 z)
  x
  z
  (* -1 z)
  (+ (pow x 1/3) (+ (* 1/6 (* (pow (/ 1 (pow x 5)) 1/3) (pow y 2))) (* 1/6 (* (pow (/ 1 (pow x 5)) 1/3) (pow z 2)))))
  (pow (/ 1 z) -1/3)
  (pow (/ -1 z) -1/3)
8.366 * * [simplify]: Extracting # 0 : cost  0
8.366 * * [simplify]: Extracting # 1 : cost  0
8.366 * * [simplify]: Extracting # 2 : cost  0
8.366 * * [simplify]: Extracting # 3 : cost  0
8.366 * * [simplify]: Extracting # 4 : cost  0
8.367 * * [simplify]: Extracting # 5 : cost  0
8.367 * * [simplify]: Extracting # 6 : cost  0
8.367 * * [simplify]: Extracting # 7 : cost  0
8.367 * * [simplify]: Extracting # 8 : cost  0
8.367 * * [simplify]: Extracting # 9 : cost  0
8.367 * * [simplify]: Extracting # 10 : cost  0
8.367 * * [simplify]: Extracting # 11 : cost  0
8.367 * * [simplify]: Extracting # 12 : cost  0
8.367 * * [simplify]: iteration  0 :  77  enodes  (cost  1358 )
8.384 * * [simplify]: Extracting # 0 : cost  0
8.384 * * [simplify]: Extracting # 1 : cost  0
8.384 * * [simplify]: Extracting # 2 : cost  0
8.385 * * [simplify]: Extracting # 3 : cost  0
8.385 * * [simplify]: Extracting # 4 : cost  0
8.385 * * [simplify]: iteration  1 :  170  enodes  (cost  1212 )
8.476 * * [simplify]: Extracting # 0 : cost  0
8.476 * * [simplify]: Extracting # 1 : cost  0
8.477 * * [simplify]: Extracting # 2 : cost  0
8.477 * * [simplify]: Extracting # 3 : cost  0
8.478 * * [simplify]: Extracting # 4 : cost  0
8.478 * * [simplify]: iteration  2 :  464  enodes  (cost  1109 )
8.713 * * [simplify]: Extracting # 0 : cost  0
8.715 * * [simplify]: Extracting # 1 : cost  0
8.720 * * [simplify]: Extracting # 2 : cost  0
8.721 * * [simplify]: Extracting # 3 : cost  0
8.722 * * [simplify]: Extracting # 4 : cost  0
8.723 * * [simplify]: iteration  3 :  1350  enodes  (cost  1106 )
9.726 * * [simplify]: Extracting # 0 : cost  0
9.738 * * [simplify]: Extracting # 1 : cost  0
9.743 * * [simplify]: Extracting # 2 : cost  0
9.748 * * [simplify]: Extracting # 3 : cost  0
9.754 * * [simplify]: Extracting # 4 : cost  0
9.762 * * [simplify]: iteration  4 :  4469  enodes  (cost  1106 )
11.549 * * [simplify]: Extracting # 0 : cost  0
11.558 * * [simplify]: Extracting # 1 : cost  0
11.566 * * [simplify]: Extracting # 2 : cost  0
11.582 * * [simplify]: Extracting # 3 : cost  0
11.588 * * [simplify]: Extracting # 4 : cost  0
11.593 * * [simplify]: iteration done:  5000  enodes  (cost  1106 )
11.593 * [simplify]: Simplified to:
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (sqrt (+ (* z z) (+ (* y y) (* x x)))) 3)
  (fabs (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  1
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (+ (* y y) (* x x)) 3) (pow z 6)))
  (sqrt (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (pow z 4)))
  (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  1/2
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (sqrt (+ (* z z) (+ (* y y) (* x x)))) 3)
  (fabs (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  1
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (+ (* y y) (* x x)) 3) (pow z 6)))
  (sqrt (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (pow z 4)))
  (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  1/2
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (sqrt (+ (* z z) (+ (* y y) (* x x)))) 3)
  (fabs (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  1
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (+ (* y y) (* x x)) 3) (pow z 6)))
  (sqrt (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (pow z 4)))
  (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  1/2
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (exp (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))
  (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (fabs (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  1
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  1
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (pow (+ (* y y) (* x x)) 3) (pow z 6))))
  (cbrt (sqrt (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (pow z 4))))
  (cbrt (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))
  (cbrt (sqrt (- (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))) (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))
  (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  x
  z
  (- z)
  x
  z
  (- z)
  x
  z
  (- z)
  (+ (* (* 1/6 (cbrt (/ 1 (pow x 5)))) (+ (* z z) (* y y))) (cbrt x))
  (pow (/ 1 z) -1/3)
  (pow (/ -1 z) -1/3)
11.594 * * * [progress]: adding candidates to table
11.970 * * [progress]: iteration 4 / 4
11.970 * * * [progress]: picking best candidate
11.981 * * * * [pick]: Picked  #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))>
11.981 * * * [progress]: localizing error
12.026 * * * [progress]: generating rewritten candidates
12.027 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1 1)
12.076 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
12.113 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
12.146 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
12.189 * * * [progress]: generating series expansions
12.189 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1 1)
12.189 * [backup-simplify]: Simplify (sqrt (+ (* z z) (+ (* y y) (* x x)))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
12.189 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (z y x) around 0
12.189 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
12.189 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
12.189 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.189 * [taylor]: Taking taylor expansion of x in x
12.189 * [backup-simplify]: Simplify 0 into 0
12.189 * [backup-simplify]: Simplify 1 into 1
12.189 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
12.189 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.189 * [taylor]: Taking taylor expansion of y in x
12.190 * [backup-simplify]: Simplify y into y
12.190 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.190 * [taylor]: Taking taylor expansion of z in x
12.190 * [backup-simplify]: Simplify z into z
12.190 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.190 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.190 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.190 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
12.191 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.191 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.191 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.192 * [backup-simplify]: Simplify (+ 0 0) into 0
12.192 * [backup-simplify]: Simplify (+ 0 0) into 0
12.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
12.192 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
12.192 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.192 * [taylor]: Taking taylor expansion of x in y
12.192 * [backup-simplify]: Simplify x into x
12.192 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.192 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.192 * [taylor]: Taking taylor expansion of y in y
12.192 * [backup-simplify]: Simplify 0 into 0
12.193 * [backup-simplify]: Simplify 1 into 1
12.193 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.193 * [taylor]: Taking taylor expansion of z in y
12.193 * [backup-simplify]: Simplify z into z
12.193 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.193 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.193 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.193 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.193 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
12.193 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.194 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.194 * [backup-simplify]: Simplify (+ 0 0) into 0
12.194 * [backup-simplify]: Simplify (+ 0 0) into 0
12.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
12.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.195 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.195 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.195 * [taylor]: Taking taylor expansion of x in z
12.195 * [backup-simplify]: Simplify x into x
12.195 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.195 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.195 * [taylor]: Taking taylor expansion of y in z
12.195 * [backup-simplify]: Simplify y into y
12.195 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.195 * [taylor]: Taking taylor expansion of z in z
12.195 * [backup-simplify]: Simplify 0 into 0
12.195 * [backup-simplify]: Simplify 1 into 1
12.195 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.195 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.195 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.196 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.196 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
12.196 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.196 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.196 * [backup-simplify]: Simplify (+ 0 0) into 0
12.197 * [backup-simplify]: Simplify (+ 0 0) into 0
12.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
12.197 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.197 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.197 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.197 * [taylor]: Taking taylor expansion of x in z
12.197 * [backup-simplify]: Simplify x into x
12.197 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.197 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.197 * [taylor]: Taking taylor expansion of y in z
12.197 * [backup-simplify]: Simplify y into y
12.197 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.197 * [taylor]: Taking taylor expansion of z in z
12.198 * [backup-simplify]: Simplify 0 into 0
12.198 * [backup-simplify]: Simplify 1 into 1
12.198 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.198 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.198 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.198 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.198 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
12.198 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.198 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.199 * [backup-simplify]: Simplify (+ 0 0) into 0
12.199 * [backup-simplify]: Simplify (+ 0 0) into 0
12.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
12.200 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
12.200 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
12.200 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.200 * [taylor]: Taking taylor expansion of x in y
12.200 * [backup-simplify]: Simplify x into x
12.200 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.200 * [taylor]: Taking taylor expansion of y in y
12.200 * [backup-simplify]: Simplify 0 into 0
12.200 * [backup-simplify]: Simplify 1 into 1
12.200 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.200 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.200 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
12.200 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.201 * [backup-simplify]: Simplify (+ 0 0) into 0
12.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
12.201 * [taylor]: Taking taylor expansion of x in x
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [backup-simplify]: Simplify 1 into 1
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [taylor]: Taking taylor expansion of 0 in y
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [taylor]: Taking taylor expansion of 0 in x
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [taylor]: Taking taylor expansion of 0 in x
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [backup-simplify]: Simplify 1 into 1
12.202 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.202 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.203 * [backup-simplify]: Simplify (* 1 1) into 1
12.203 * [backup-simplify]: Simplify (+ 0 1) into 1
12.203 * [backup-simplify]: Simplify (+ 0 1) into 1
12.205 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
12.205 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y
12.205 * [taylor]: Taking taylor expansion of 1/2 in y
12.205 * [backup-simplify]: Simplify 1/2 into 1/2
12.205 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y
12.205 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y
12.205 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
12.205 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.205 * [taylor]: Taking taylor expansion of x in y
12.205 * [backup-simplify]: Simplify x into x
12.205 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.205 * [taylor]: Taking taylor expansion of y in y
12.205 * [backup-simplify]: Simplify 0 into 0
12.205 * [backup-simplify]: Simplify 1 into 1
12.205 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.205 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.205 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.206 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
12.206 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.206 * [backup-simplify]: Simplify (+ 0 0) into 0
12.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
12.207 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
12.207 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
12.207 * [taylor]: Taking taylor expansion of 1/2 in x
12.207 * [backup-simplify]: Simplify 1/2 into 1/2
12.207 * [taylor]: Taking taylor expansion of x in x
12.207 * [backup-simplify]: Simplify 0 into 0
12.207 * [backup-simplify]: Simplify 1 into 1
12.208 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.209 * [backup-simplify]: Simplify 0 into 0
12.209 * [taylor]: Taking taylor expansion of 0 in x
12.209 * [backup-simplify]: Simplify 0 into 0
12.209 * [backup-simplify]: Simplify 0 into 0
12.209 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.210 * [backup-simplify]: Simplify (* 1 1) into 1
12.210 * [backup-simplify]: Simplify (+ 0 1) into 1
12.211 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
12.211 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
12.211 * [taylor]: Taking taylor expansion of 1/2 in x
12.211 * [backup-simplify]: Simplify 1/2 into 1/2
12.211 * [taylor]: Taking taylor expansion of x in x
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [backup-simplify]: Simplify 1 into 1
12.211 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.212 * [backup-simplify]: Simplify 0 into 0
12.212 * [backup-simplify]: Simplify 0 into 0
12.212 * [backup-simplify]: Simplify 0 into 0
12.212 * [backup-simplify]: Simplify 0 into 0
12.213 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
12.213 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 z) (/ 1 z)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
12.213 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
12.214 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.214 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.214 * [taylor]: Taking taylor expansion of x in x
12.214 * [backup-simplify]: Simplify 0 into 0
12.214 * [backup-simplify]: Simplify 1 into 1
12.214 * [backup-simplify]: Simplify (* 1 1) into 1
12.214 * [backup-simplify]: Simplify (/ 1 1) into 1
12.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.215 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.215 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.215 * [taylor]: Taking taylor expansion of z in x
12.215 * [backup-simplify]: Simplify z into z
12.215 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.215 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.215 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.215 * [taylor]: Taking taylor expansion of y in x
12.215 * [backup-simplify]: Simplify y into y
12.215 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.215 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.216 * [backup-simplify]: Simplify (+ 1 0) into 1
12.216 * [backup-simplify]: Simplify (sqrt 1) into 1
12.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.218 * [backup-simplify]: Simplify (+ 0 0) into 0
12.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.219 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.219 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.219 * [taylor]: Taking taylor expansion of x in y
12.219 * [backup-simplify]: Simplify x into x
12.219 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.219 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.219 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.219 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.219 * [taylor]: Taking taylor expansion of z in y
12.219 * [backup-simplify]: Simplify z into z
12.219 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.220 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.220 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.220 * [taylor]: Taking taylor expansion of y in y
12.220 * [backup-simplify]: Simplify 0 into 0
12.220 * [backup-simplify]: Simplify 1 into 1
12.220 * [backup-simplify]: Simplify (* 1 1) into 1
12.221 * [backup-simplify]: Simplify (/ 1 1) into 1
12.221 * [backup-simplify]: Simplify (+ 0 1) into 1
12.221 * [backup-simplify]: Simplify (+ 0 1) into 1
12.222 * [backup-simplify]: Simplify (sqrt 1) into 1
12.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.224 * [backup-simplify]: Simplify (+ 0 0) into 0
12.224 * [backup-simplify]: Simplify (+ 0 0) into 0
12.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.225 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.225 * [taylor]: Taking taylor expansion of x in z
12.225 * [backup-simplify]: Simplify x into x
12.225 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.225 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.225 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.225 * [taylor]: Taking taylor expansion of z in z
12.225 * [backup-simplify]: Simplify 0 into 0
12.225 * [backup-simplify]: Simplify 1 into 1
12.226 * [backup-simplify]: Simplify (* 1 1) into 1
12.226 * [backup-simplify]: Simplify (/ 1 1) into 1
12.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.226 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.226 * [taylor]: Taking taylor expansion of y in z
12.226 * [backup-simplify]: Simplify y into y
12.226 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.227 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.227 * [backup-simplify]: Simplify (+ 1 0) into 1
12.227 * [backup-simplify]: Simplify (+ 0 1) into 1
12.228 * [backup-simplify]: Simplify (sqrt 1) into 1
12.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.229 * [backup-simplify]: Simplify (+ 0 0) into 0
12.230 * [backup-simplify]: Simplify (+ 0 0) into 0
12.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.231 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.231 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.231 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.231 * [taylor]: Taking taylor expansion of x in z
12.231 * [backup-simplify]: Simplify x into x
12.231 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.231 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.231 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.231 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.231 * [taylor]: Taking taylor expansion of z in z
12.231 * [backup-simplify]: Simplify 0 into 0
12.231 * [backup-simplify]: Simplify 1 into 1
12.232 * [backup-simplify]: Simplify (* 1 1) into 1
12.232 * [backup-simplify]: Simplify (/ 1 1) into 1
12.232 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.232 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.232 * [taylor]: Taking taylor expansion of y in z
12.232 * [backup-simplify]: Simplify y into y
12.233 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.233 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.233 * [backup-simplify]: Simplify (+ 1 0) into 1
12.234 * [backup-simplify]: Simplify (+ 0 1) into 1
12.234 * [backup-simplify]: Simplify (sqrt 1) into 1
12.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.240 * [backup-simplify]: Simplify (+ 0 0) into 0
12.241 * [backup-simplify]: Simplify (+ 0 0) into 0
12.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.242 * [taylor]: Taking taylor expansion of 1 in y
12.242 * [backup-simplify]: Simplify 1 into 1
12.242 * [taylor]: Taking taylor expansion of 0 in y
12.242 * [backup-simplify]: Simplify 0 into 0
12.242 * [taylor]: Taking taylor expansion of 1 in x
12.242 * [backup-simplify]: Simplify 1 into 1
12.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.244 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
12.245 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
12.246 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
12.246 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
12.246 * [taylor]: Taking taylor expansion of 1/2 in y
12.246 * [backup-simplify]: Simplify 1/2 into 1/2
12.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
12.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.246 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.246 * [taylor]: Taking taylor expansion of x in y
12.247 * [backup-simplify]: Simplify x into x
12.247 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.247 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.247 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.247 * [taylor]: Taking taylor expansion of y in y
12.247 * [backup-simplify]: Simplify 0 into 0
12.247 * [backup-simplify]: Simplify 1 into 1
12.247 * [backup-simplify]: Simplify (* 1 1) into 1
12.248 * [backup-simplify]: Simplify (/ 1 1) into 1
12.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.249 * [backup-simplify]: Simplify (+ 0 0) into 0
12.250 * [backup-simplify]: Simplify (+ 0 1) into 1
12.250 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.250 * [taylor]: Taking taylor expansion of 0 in x
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [taylor]: Taking taylor expansion of 0 in x
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [taylor]: Taking taylor expansion of 0 in x
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [backup-simplify]: Simplify 1 into 1
12.251 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.252 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.253 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.254 * [backup-simplify]: Simplify (+ 0 0) into 0
12.254 * [backup-simplify]: Simplify (+ 0 0) into 0
12.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
12.255 * [taylor]: Taking taylor expansion of 0 in y
12.255 * [backup-simplify]: Simplify 0 into 0
12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.257 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
12.258 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
12.258 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
12.258 * [taylor]: Taking taylor expansion of 1/2 in x
12.258 * [backup-simplify]: Simplify 1/2 into 1/2
12.258 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.258 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.258 * [taylor]: Taking taylor expansion of x in x
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify 1 into 1
12.259 * [backup-simplify]: Simplify (* 1 1) into 1
12.259 * [backup-simplify]: Simplify (/ 1 1) into 1
12.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.261 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [taylor]: Taking taylor expansion of 0 in x
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [taylor]: Taking taylor expansion of 0 in x
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [backup-simplify]: Simplify 0 into 0
12.262 * [backup-simplify]: Simplify 0 into 0
12.262 * [backup-simplify]: Simplify 0 into 0
12.262 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
12.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.265 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.266 * [backup-simplify]: Simplify (+ 0 0) into 0
12.266 * [backup-simplify]: Simplify (+ 0 0) into 0
12.268 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
12.268 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
12.268 * [taylor]: Taking taylor expansion of -1/2 in y
12.268 * [backup-simplify]: Simplify -1/2 into -1/2
12.268 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
12.268 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
12.268 * [taylor]: Taking taylor expansion of 1/2 in y
12.268 * [backup-simplify]: Simplify 1/2 into 1/2
12.268 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
12.268 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
12.268 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.268 * [taylor]: Taking taylor expansion of x in y
12.268 * [backup-simplify]: Simplify x into x
12.268 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.268 * [taylor]: Taking taylor expansion of y in y
12.269 * [backup-simplify]: Simplify 0 into 0
12.269 * [backup-simplify]: Simplify 1 into 1
12.269 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.269 * [backup-simplify]: Simplify (* 1 1) into 1
12.269 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
12.269 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.269 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
12.269 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
12.269 * [taylor]: Taking taylor expansion of 1/4 in y
12.269 * [backup-simplify]: Simplify 1/4 into 1/4
12.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
12.269 * [taylor]: Taking taylor expansion of (pow x 4) in y
12.270 * [taylor]: Taking taylor expansion of x in y
12.270 * [backup-simplify]: Simplify x into x
12.270 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.270 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
12.270 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
12.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.270 * [taylor]: Taking taylor expansion of 1/4 in y
12.270 * [backup-simplify]: Simplify 1/4 into 1/4
12.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.270 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.270 * [taylor]: Taking taylor expansion of y in y
12.270 * [backup-simplify]: Simplify 0 into 0
12.270 * [backup-simplify]: Simplify 1 into 1
12.271 * [backup-simplify]: Simplify (* 1 1) into 1
12.271 * [backup-simplify]: Simplify (* 1 1) into 1
12.271 * [backup-simplify]: Simplify (/ 1 1) into 1
12.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.272 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.273 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
12.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.273 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
12.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.276 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.282 * [backup-simplify]: Simplify (+ 0 0) into 0
12.282 * [backup-simplify]: Simplify (+ 0 0) into 0
12.283 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
12.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.284 * [backup-simplify]: Simplify (+ 0 0) into 0
12.284 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
12.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.284 * [backup-simplify]: Simplify (+ 0 0) into 0
12.285 * [backup-simplify]: Simplify (+ 0 0) into 0
12.285 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.285 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.285 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.286 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.286 * [taylor]: Taking taylor expansion of 0 in x
12.286 * [backup-simplify]: Simplify 0 into 0
12.286 * [taylor]: Taking taylor expansion of 0 in x
12.286 * [backup-simplify]: Simplify 0 into 0
12.286 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.288 * [backup-simplify]: Simplify (+ 0 0) into 0
12.289 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
12.289 * [taylor]: Taking taylor expansion of 0 in x
12.289 * [backup-simplify]: Simplify 0 into 0
12.289 * [taylor]: Taking taylor expansion of 0 in x
12.289 * [backup-simplify]: Simplify 0 into 0
12.289 * [taylor]: Taking taylor expansion of 0 in x
12.289 * [backup-simplify]: Simplify 0 into 0
12.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.290 * [backup-simplify]: Simplify 0 into 0
12.290 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
12.291 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
12.291 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
12.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.291 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.291 * [taylor]: Taking taylor expansion of x in x
12.291 * [backup-simplify]: Simplify 0 into 0
12.291 * [backup-simplify]: Simplify 1 into 1
12.291 * [backup-simplify]: Simplify (* 1 1) into 1
12.291 * [backup-simplify]: Simplify (/ 1 1) into 1
12.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.292 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.292 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.292 * [taylor]: Taking taylor expansion of z in x
12.292 * [backup-simplify]: Simplify z into z
12.292 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.292 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.292 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.292 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.292 * [taylor]: Taking taylor expansion of y in x
12.292 * [backup-simplify]: Simplify y into y
12.292 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.292 * [backup-simplify]: Simplify (+ 1 0) into 1
12.293 * [backup-simplify]: Simplify (sqrt 1) into 1
12.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.294 * [backup-simplify]: Simplify (+ 0 0) into 0
12.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.294 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.294 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.294 * [taylor]: Taking taylor expansion of x in y
12.294 * [backup-simplify]: Simplify x into x
12.294 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.294 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.294 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.294 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.294 * [taylor]: Taking taylor expansion of z in y
12.294 * [backup-simplify]: Simplify z into z
12.294 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.295 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.295 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.295 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.295 * [taylor]: Taking taylor expansion of y in y
12.295 * [backup-simplify]: Simplify 0 into 0
12.295 * [backup-simplify]: Simplify 1 into 1
12.295 * [backup-simplify]: Simplify (* 1 1) into 1
12.295 * [backup-simplify]: Simplify (/ 1 1) into 1
12.295 * [backup-simplify]: Simplify (+ 0 1) into 1
12.296 * [backup-simplify]: Simplify (+ 0 1) into 1
12.296 * [backup-simplify]: Simplify (sqrt 1) into 1
12.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.297 * [backup-simplify]: Simplify (+ 0 0) into 0
12.297 * [backup-simplify]: Simplify (+ 0 0) into 0
12.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.298 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.298 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.298 * [taylor]: Taking taylor expansion of x in z
12.298 * [backup-simplify]: Simplify x into x
12.298 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.298 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.298 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.298 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.298 * [taylor]: Taking taylor expansion of z in z
12.298 * [backup-simplify]: Simplify 0 into 0
12.298 * [backup-simplify]: Simplify 1 into 1
12.298 * [backup-simplify]: Simplify (* 1 1) into 1
12.299 * [backup-simplify]: Simplify (/ 1 1) into 1
12.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.299 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.299 * [taylor]: Taking taylor expansion of y in z
12.299 * [backup-simplify]: Simplify y into y
12.299 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.299 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.299 * [backup-simplify]: Simplify (+ 1 0) into 1
12.299 * [backup-simplify]: Simplify (+ 0 1) into 1
12.300 * [backup-simplify]: Simplify (sqrt 1) into 1
12.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.301 * [backup-simplify]: Simplify (+ 0 0) into 0
12.301 * [backup-simplify]: Simplify (+ 0 0) into 0
12.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.302 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.302 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.302 * [taylor]: Taking taylor expansion of x in z
12.302 * [backup-simplify]: Simplify x into x
12.302 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.302 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.302 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.302 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.302 * [taylor]: Taking taylor expansion of z in z
12.302 * [backup-simplify]: Simplify 0 into 0
12.302 * [backup-simplify]: Simplify 1 into 1
12.302 * [backup-simplify]: Simplify (* 1 1) into 1
12.302 * [backup-simplify]: Simplify (/ 1 1) into 1
12.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.302 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.302 * [taylor]: Taking taylor expansion of y in z
12.302 * [backup-simplify]: Simplify y into y
12.303 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.303 * [backup-simplify]: Simplify (+ 1 0) into 1
12.303 * [backup-simplify]: Simplify (+ 0 1) into 1
12.303 * [backup-simplify]: Simplify (sqrt 1) into 1
12.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.304 * [backup-simplify]: Simplify (+ 0 0) into 0
12.305 * [backup-simplify]: Simplify (+ 0 0) into 0
12.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.305 * [taylor]: Taking taylor expansion of 1 in y
12.305 * [backup-simplify]: Simplify 1 into 1
12.305 * [taylor]: Taking taylor expansion of 0 in y
12.305 * [backup-simplify]: Simplify 0 into 0
12.305 * [taylor]: Taking taylor expansion of 1 in x
12.305 * [backup-simplify]: Simplify 1 into 1
12.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.307 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
12.307 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
12.308 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
12.308 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
12.308 * [taylor]: Taking taylor expansion of 1/2 in y
12.308 * [backup-simplify]: Simplify 1/2 into 1/2
12.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
12.308 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.308 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.308 * [taylor]: Taking taylor expansion of x in y
12.308 * [backup-simplify]: Simplify x into x
12.308 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.308 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.308 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.308 * [taylor]: Taking taylor expansion of y in y
12.308 * [backup-simplify]: Simplify 0 into 0
12.308 * [backup-simplify]: Simplify 1 into 1
12.308 * [backup-simplify]: Simplify (* 1 1) into 1
12.309 * [backup-simplify]: Simplify (/ 1 1) into 1
12.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.310 * [backup-simplify]: Simplify (+ 0 0) into 0
12.310 * [backup-simplify]: Simplify (+ 0 1) into 1
12.310 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.311 * [taylor]: Taking taylor expansion of 0 in x
12.311 * [backup-simplify]: Simplify 0 into 0
12.311 * [taylor]: Taking taylor expansion of 0 in x
12.311 * [backup-simplify]: Simplify 0 into 0
12.311 * [taylor]: Taking taylor expansion of 0 in x
12.311 * [backup-simplify]: Simplify 0 into 0
12.311 * [backup-simplify]: Simplify 1 into 1
12.311 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.312 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.313 * [backup-simplify]: Simplify (+ 0 0) into 0
12.313 * [backup-simplify]: Simplify (+ 0 0) into 0
12.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
12.314 * [taylor]: Taking taylor expansion of 0 in y
12.314 * [backup-simplify]: Simplify 0 into 0
12.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.316 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
12.317 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
12.317 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
12.317 * [taylor]: Taking taylor expansion of 1/2 in x
12.317 * [backup-simplify]: Simplify 1/2 into 1/2
12.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.317 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.317 * [taylor]: Taking taylor expansion of x in x
12.317 * [backup-simplify]: Simplify 0 into 0
12.317 * [backup-simplify]: Simplify 1 into 1
12.318 * [backup-simplify]: Simplify (* 1 1) into 1
12.318 * [backup-simplify]: Simplify (/ 1 1) into 1
12.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.320 * [backup-simplify]: Simplify 0 into 0
12.320 * [taylor]: Taking taylor expansion of 0 in x
12.320 * [backup-simplify]: Simplify 0 into 0
12.320 * [taylor]: Taking taylor expansion of 0 in x
12.320 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify 0 into 0
12.321 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
12.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.325 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.326 * [backup-simplify]: Simplify (+ 0 0) into 0
12.326 * [backup-simplify]: Simplify (+ 0 0) into 0
12.328 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
12.328 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
12.328 * [taylor]: Taking taylor expansion of -1/2 in y
12.328 * [backup-simplify]: Simplify -1/2 into -1/2
12.328 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
12.328 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
12.328 * [taylor]: Taking taylor expansion of 1/2 in y
12.328 * [backup-simplify]: Simplify 1/2 into 1/2
12.328 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
12.328 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
12.328 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.328 * [taylor]: Taking taylor expansion of x in y
12.328 * [backup-simplify]: Simplify x into x
12.328 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.328 * [taylor]: Taking taylor expansion of y in y
12.328 * [backup-simplify]: Simplify 0 into 0
12.328 * [backup-simplify]: Simplify 1 into 1
12.328 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.329 * [backup-simplify]: Simplify (* 1 1) into 1
12.329 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
12.329 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.329 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
12.329 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
12.329 * [taylor]: Taking taylor expansion of 1/4 in y
12.329 * [backup-simplify]: Simplify 1/4 into 1/4
12.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
12.329 * [taylor]: Taking taylor expansion of (pow x 4) in y
12.329 * [taylor]: Taking taylor expansion of x in y
12.329 * [backup-simplify]: Simplify x into x
12.329 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.330 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
12.330 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
12.330 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.330 * [taylor]: Taking taylor expansion of 1/4 in y
12.330 * [backup-simplify]: Simplify 1/4 into 1/4
12.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.330 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.330 * [taylor]: Taking taylor expansion of y in y
12.330 * [backup-simplify]: Simplify 0 into 0
12.330 * [backup-simplify]: Simplify 1 into 1
12.330 * [backup-simplify]: Simplify (* 1 1) into 1
12.331 * [backup-simplify]: Simplify (* 1 1) into 1
12.331 * [backup-simplify]: Simplify (/ 1 1) into 1
12.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.332 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.333 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
12.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
12.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.342 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.342 * [backup-simplify]: Simplify (+ 0 0) into 0
12.342 * [backup-simplify]: Simplify (+ 0 0) into 0
12.343 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
12.343 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.343 * [backup-simplify]: Simplify (+ 0 0) into 0
12.344 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
12.344 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.344 * [backup-simplify]: Simplify (+ 0 0) into 0
12.345 * [backup-simplify]: Simplify (+ 0 0) into 0
12.345 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.345 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.345 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.346 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.346 * [taylor]: Taking taylor expansion of 0 in x
12.346 * [backup-simplify]: Simplify 0 into 0
12.346 * [taylor]: Taking taylor expansion of 0 in x
12.346 * [backup-simplify]: Simplify 0 into 0
12.346 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.348 * [backup-simplify]: Simplify (+ 0 0) into 0
12.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
12.349 * [taylor]: Taking taylor expansion of 0 in x
12.349 * [backup-simplify]: Simplify 0 into 0
12.349 * [taylor]: Taking taylor expansion of 0 in x
12.349 * [backup-simplify]: Simplify 0 into 0
12.349 * [taylor]: Taking taylor expansion of 0 in x
12.349 * [backup-simplify]: Simplify 0 into 0
12.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.351 * [backup-simplify]: Simplify 0 into 0
12.351 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
12.351 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
12.351 * [backup-simplify]: Simplify (sqrt (+ (* z z) (+ (* y y) (* x x)))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
12.351 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (z y x) around 0
12.351 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
12.351 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
12.352 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.352 * [taylor]: Taking taylor expansion of x in x
12.352 * [backup-simplify]: Simplify 0 into 0
12.352 * [backup-simplify]: Simplify 1 into 1
12.352 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
12.352 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.352 * [taylor]: Taking taylor expansion of y in x
12.352 * [backup-simplify]: Simplify y into y
12.352 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.352 * [taylor]: Taking taylor expansion of z in x
12.352 * [backup-simplify]: Simplify z into z
12.352 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.352 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.352 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.352 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
12.352 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.352 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.352 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.353 * [backup-simplify]: Simplify (+ 0 0) into 0
12.353 * [backup-simplify]: Simplify (+ 0 0) into 0
12.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.353 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
12.353 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
12.353 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.353 * [taylor]: Taking taylor expansion of x in y
12.353 * [backup-simplify]: Simplify x into x
12.353 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.353 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.353 * [taylor]: Taking taylor expansion of y in y
12.353 * [backup-simplify]: Simplify 0 into 0
12.353 * [backup-simplify]: Simplify 1 into 1
12.353 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.353 * [taylor]: Taking taylor expansion of z in y
12.353 * [backup-simplify]: Simplify z into z
12.353 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.353 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.354 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.354 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.354 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
12.354 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.354 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.354 * [backup-simplify]: Simplify (+ 0 0) into 0
12.355 * [backup-simplify]: Simplify (+ 0 0) into 0
12.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
12.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.355 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.355 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.355 * [taylor]: Taking taylor expansion of x in z
12.355 * [backup-simplify]: Simplify x into x
12.355 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.355 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.355 * [taylor]: Taking taylor expansion of y in z
12.355 * [backup-simplify]: Simplify y into y
12.355 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.355 * [taylor]: Taking taylor expansion of z in z
12.355 * [backup-simplify]: Simplify 0 into 0
12.355 * [backup-simplify]: Simplify 1 into 1
12.355 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.355 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.355 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.355 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.355 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
12.356 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.356 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.356 * [backup-simplify]: Simplify (+ 0 0) into 0
12.356 * [backup-simplify]: Simplify (+ 0 0) into 0
12.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
12.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.356 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.356 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.356 * [taylor]: Taking taylor expansion of x in z
12.356 * [backup-simplify]: Simplify x into x
12.356 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.356 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.356 * [taylor]: Taking taylor expansion of y in z
12.356 * [backup-simplify]: Simplify y into y
12.356 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.356 * [taylor]: Taking taylor expansion of z in z
12.356 * [backup-simplify]: Simplify 0 into 0
12.356 * [backup-simplify]: Simplify 1 into 1
12.357 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.357 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.357 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.357 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.357 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
12.357 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.357 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.357 * [backup-simplify]: Simplify (+ 0 0) into 0
12.358 * [backup-simplify]: Simplify (+ 0 0) into 0
12.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
12.358 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
12.358 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
12.358 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.358 * [taylor]: Taking taylor expansion of x in y
12.358 * [backup-simplify]: Simplify x into x
12.358 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.358 * [taylor]: Taking taylor expansion of y in y
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 1 into 1
12.358 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.358 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.358 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
12.358 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.359 * [backup-simplify]: Simplify (+ 0 0) into 0
12.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
12.359 * [taylor]: Taking taylor expansion of x in x
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify 1 into 1
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [taylor]: Taking taylor expansion of 0 in y
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [taylor]: Taking taylor expansion of 0 in x
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [taylor]: Taking taylor expansion of 0 in x
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify 1 into 1
12.359 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.360 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.360 * [backup-simplify]: Simplify (* 1 1) into 1
12.360 * [backup-simplify]: Simplify (+ 0 1) into 1
12.360 * [backup-simplify]: Simplify (+ 0 1) into 1
12.361 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
12.361 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y
12.361 * [taylor]: Taking taylor expansion of 1/2 in y
12.361 * [backup-simplify]: Simplify 1/2 into 1/2
12.361 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y
12.361 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y
12.361 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
12.361 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.361 * [taylor]: Taking taylor expansion of x in y
12.361 * [backup-simplify]: Simplify x into x
12.361 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.361 * [taylor]: Taking taylor expansion of y in y
12.361 * [backup-simplify]: Simplify 0 into 0
12.361 * [backup-simplify]: Simplify 1 into 1
12.361 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.361 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.361 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.362 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
12.362 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.362 * [backup-simplify]: Simplify (+ 0 0) into 0
12.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
12.362 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
12.362 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
12.362 * [taylor]: Taking taylor expansion of 1/2 in x
12.362 * [backup-simplify]: Simplify 1/2 into 1/2
12.362 * [taylor]: Taking taylor expansion of x in x
12.362 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify 1 into 1
12.365 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.366 * [backup-simplify]: Simplify 0 into 0
12.366 * [taylor]: Taking taylor expansion of 0 in x
12.366 * [backup-simplify]: Simplify 0 into 0
12.366 * [backup-simplify]: Simplify 0 into 0
12.366 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.367 * [backup-simplify]: Simplify (* 1 1) into 1
12.367 * [backup-simplify]: Simplify (+ 0 1) into 1
12.367 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
12.368 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
12.368 * [taylor]: Taking taylor expansion of 1/2 in x
12.368 * [backup-simplify]: Simplify 1/2 into 1/2
12.368 * [taylor]: Taking taylor expansion of x in x
12.368 * [backup-simplify]: Simplify 0 into 0
12.368 * [backup-simplify]: Simplify 1 into 1
12.368 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.368 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.368 * [backup-simplify]: Simplify 0 into 0
12.368 * [backup-simplify]: Simplify 0 into 0
12.368 * [backup-simplify]: Simplify 0 into 0
12.368 * [backup-simplify]: Simplify 0 into 0
12.369 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
12.369 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 z) (/ 1 z)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
12.369 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
12.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.369 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.369 * [taylor]: Taking taylor expansion of x in x
12.369 * [backup-simplify]: Simplify 0 into 0
12.369 * [backup-simplify]: Simplify 1 into 1
12.369 * [backup-simplify]: Simplify (* 1 1) into 1
12.370 * [backup-simplify]: Simplify (/ 1 1) into 1
12.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.370 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.370 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.370 * [taylor]: Taking taylor expansion of z in x
12.370 * [backup-simplify]: Simplify z into z
12.370 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.370 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.370 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.370 * [taylor]: Taking taylor expansion of y in x
12.370 * [backup-simplify]: Simplify y into y
12.370 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.370 * [backup-simplify]: Simplify (+ 1 0) into 1
12.371 * [backup-simplify]: Simplify (sqrt 1) into 1
12.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.372 * [backup-simplify]: Simplify (+ 0 0) into 0
12.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.372 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.372 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.372 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.372 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.372 * [taylor]: Taking taylor expansion of x in y
12.372 * [backup-simplify]: Simplify x into x
12.372 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.373 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.373 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.373 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.373 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.373 * [taylor]: Taking taylor expansion of z in y
12.373 * [backup-simplify]: Simplify z into z
12.373 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.373 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.373 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.373 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.373 * [taylor]: Taking taylor expansion of y in y
12.373 * [backup-simplify]: Simplify 0 into 0
12.373 * [backup-simplify]: Simplify 1 into 1
12.373 * [backup-simplify]: Simplify (* 1 1) into 1
12.373 * [backup-simplify]: Simplify (/ 1 1) into 1
12.374 * [backup-simplify]: Simplify (+ 0 1) into 1
12.374 * [backup-simplify]: Simplify (+ 0 1) into 1
12.374 * [backup-simplify]: Simplify (sqrt 1) into 1
12.375 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.375 * [backup-simplify]: Simplify (+ 0 0) into 0
12.375 * [backup-simplify]: Simplify (+ 0 0) into 0
12.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.376 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.376 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.376 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.376 * [taylor]: Taking taylor expansion of x in z
12.376 * [backup-simplify]: Simplify x into x
12.376 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.376 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.376 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.376 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.376 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.376 * [taylor]: Taking taylor expansion of z in z
12.376 * [backup-simplify]: Simplify 0 into 0
12.376 * [backup-simplify]: Simplify 1 into 1
12.377 * [backup-simplify]: Simplify (* 1 1) into 1
12.377 * [backup-simplify]: Simplify (/ 1 1) into 1
12.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.377 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.377 * [taylor]: Taking taylor expansion of y in z
12.377 * [backup-simplify]: Simplify y into y
12.377 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.377 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.378 * [backup-simplify]: Simplify (+ 1 0) into 1
12.378 * [backup-simplify]: Simplify (+ 0 1) into 1
12.378 * [backup-simplify]: Simplify (sqrt 1) into 1
12.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.380 * [backup-simplify]: Simplify (+ 0 0) into 0
12.380 * [backup-simplify]: Simplify (+ 0 0) into 0
12.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.381 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.381 * [taylor]: Taking taylor expansion of x in z
12.381 * [backup-simplify]: Simplify x into x
12.381 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.381 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.381 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.382 * [taylor]: Taking taylor expansion of z in z
12.382 * [backup-simplify]: Simplify 0 into 0
12.382 * [backup-simplify]: Simplify 1 into 1
12.382 * [backup-simplify]: Simplify (* 1 1) into 1
12.382 * [backup-simplify]: Simplify (/ 1 1) into 1
12.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.382 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.382 * [taylor]: Taking taylor expansion of y in z
12.382 * [backup-simplify]: Simplify y into y
12.382 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.383 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.383 * [backup-simplify]: Simplify (+ 1 0) into 1
12.383 * [backup-simplify]: Simplify (+ 0 1) into 1
12.384 * [backup-simplify]: Simplify (sqrt 1) into 1
12.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.385 * [backup-simplify]: Simplify (+ 0 0) into 0
12.386 * [backup-simplify]: Simplify (+ 0 0) into 0
12.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.387 * [taylor]: Taking taylor expansion of 1 in y
12.387 * [backup-simplify]: Simplify 1 into 1
12.387 * [taylor]: Taking taylor expansion of 0 in y
12.387 * [backup-simplify]: Simplify 0 into 0
12.387 * [taylor]: Taking taylor expansion of 1 in x
12.387 * [backup-simplify]: Simplify 1 into 1
12.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.389 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
12.389 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
12.391 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
12.391 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
12.391 * [taylor]: Taking taylor expansion of 1/2 in y
12.391 * [backup-simplify]: Simplify 1/2 into 1/2
12.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.391 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.391 * [taylor]: Taking taylor expansion of x in y
12.391 * [backup-simplify]: Simplify x into x
12.391 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.391 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.391 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.391 * [taylor]: Taking taylor expansion of y in y
12.391 * [backup-simplify]: Simplify 0 into 0
12.391 * [backup-simplify]: Simplify 1 into 1
12.392 * [backup-simplify]: Simplify (* 1 1) into 1
12.392 * [backup-simplify]: Simplify (/ 1 1) into 1
12.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.394 * [backup-simplify]: Simplify (+ 0 0) into 0
12.394 * [backup-simplify]: Simplify (+ 0 1) into 1
12.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.395 * [taylor]: Taking taylor expansion of 0 in x
12.395 * [backup-simplify]: Simplify 0 into 0
12.395 * [taylor]: Taking taylor expansion of 0 in x
12.395 * [backup-simplify]: Simplify 0 into 0
12.395 * [taylor]: Taking taylor expansion of 0 in x
12.395 * [backup-simplify]: Simplify 0 into 0
12.395 * [backup-simplify]: Simplify 1 into 1
12.396 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.398 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.399 * [backup-simplify]: Simplify (+ 0 0) into 0
12.399 * [backup-simplify]: Simplify (+ 0 0) into 0
12.400 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
12.400 * [taylor]: Taking taylor expansion of 0 in y
12.400 * [backup-simplify]: Simplify 0 into 0
12.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.403 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
12.404 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
12.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
12.404 * [taylor]: Taking taylor expansion of 1/2 in x
12.404 * [backup-simplify]: Simplify 1/2 into 1/2
12.404 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.404 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.404 * [taylor]: Taking taylor expansion of x in x
12.404 * [backup-simplify]: Simplify 0 into 0
12.404 * [backup-simplify]: Simplify 1 into 1
12.405 * [backup-simplify]: Simplify (* 1 1) into 1
12.405 * [backup-simplify]: Simplify (/ 1 1) into 1
12.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.407 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.407 * [backup-simplify]: Simplify 0 into 0
12.407 * [taylor]: Taking taylor expansion of 0 in x
12.407 * [backup-simplify]: Simplify 0 into 0
12.407 * [taylor]: Taking taylor expansion of 0 in x
12.407 * [backup-simplify]: Simplify 0 into 0
12.407 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify 0 into 0
12.408 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
12.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.411 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.412 * [backup-simplify]: Simplify (+ 0 0) into 0
12.413 * [backup-simplify]: Simplify (+ 0 0) into 0
12.415 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
12.415 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
12.415 * [taylor]: Taking taylor expansion of -1/2 in y
12.415 * [backup-simplify]: Simplify -1/2 into -1/2
12.415 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
12.415 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
12.415 * [taylor]: Taking taylor expansion of 1/2 in y
12.415 * [backup-simplify]: Simplify 1/2 into 1/2
12.415 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
12.415 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
12.415 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.415 * [taylor]: Taking taylor expansion of x in y
12.415 * [backup-simplify]: Simplify x into x
12.415 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.415 * [taylor]: Taking taylor expansion of y in y
12.415 * [backup-simplify]: Simplify 0 into 0
12.415 * [backup-simplify]: Simplify 1 into 1
12.415 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.416 * [backup-simplify]: Simplify (* 1 1) into 1
12.416 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
12.416 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.416 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
12.416 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
12.416 * [taylor]: Taking taylor expansion of 1/4 in y
12.416 * [backup-simplify]: Simplify 1/4 into 1/4
12.416 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
12.416 * [taylor]: Taking taylor expansion of (pow x 4) in y
12.416 * [taylor]: Taking taylor expansion of x in y
12.416 * [backup-simplify]: Simplify x into x
12.417 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.417 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
12.417 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
12.417 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.417 * [taylor]: Taking taylor expansion of 1/4 in y
12.417 * [backup-simplify]: Simplify 1/4 into 1/4
12.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.417 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.417 * [taylor]: Taking taylor expansion of y in y
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [backup-simplify]: Simplify 1 into 1
12.418 * [backup-simplify]: Simplify (* 1 1) into 1
12.418 * [backup-simplify]: Simplify (* 1 1) into 1
12.418 * [backup-simplify]: Simplify (/ 1 1) into 1
12.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.419 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.420 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
12.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
12.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.422 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.430 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.430 * [backup-simplify]: Simplify (+ 0 0) into 0
12.430 * [backup-simplify]: Simplify (+ 0 0) into 0
12.431 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
12.432 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.432 * [backup-simplify]: Simplify (+ 0 0) into 0
12.432 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
12.433 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.433 * [backup-simplify]: Simplify (+ 0 0) into 0
12.434 * [backup-simplify]: Simplify (+ 0 0) into 0
12.434 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.435 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.435 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.436 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.436 * [taylor]: Taking taylor expansion of 0 in x
12.436 * [backup-simplify]: Simplify 0 into 0
12.436 * [taylor]: Taking taylor expansion of 0 in x
12.436 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.439 * [backup-simplify]: Simplify (+ 0 0) into 0
12.441 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
12.441 * [taylor]: Taking taylor expansion of 0 in x
12.441 * [backup-simplify]: Simplify 0 into 0
12.441 * [taylor]: Taking taylor expansion of 0 in x
12.441 * [backup-simplify]: Simplify 0 into 0
12.441 * [taylor]: Taking taylor expansion of 0 in x
12.441 * [backup-simplify]: Simplify 0 into 0
12.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.444 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.444 * [backup-simplify]: Simplify 0 into 0
12.444 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
12.445 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
12.445 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
12.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.445 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.445 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.445 * [taylor]: Taking taylor expansion of x in x
12.445 * [backup-simplify]: Simplify 0 into 0
12.445 * [backup-simplify]: Simplify 1 into 1
12.445 * [backup-simplify]: Simplify (* 1 1) into 1
12.446 * [backup-simplify]: Simplify (/ 1 1) into 1
12.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.446 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.446 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.446 * [taylor]: Taking taylor expansion of z in x
12.446 * [backup-simplify]: Simplify z into z
12.446 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.446 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.446 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.446 * [taylor]: Taking taylor expansion of y in x
12.446 * [backup-simplify]: Simplify y into y
12.446 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.446 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.447 * [backup-simplify]: Simplify (+ 1 0) into 1
12.447 * [backup-simplify]: Simplify (sqrt 1) into 1
12.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.449 * [backup-simplify]: Simplify (+ 0 0) into 0
12.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.450 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.450 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.450 * [taylor]: Taking taylor expansion of x in y
12.450 * [backup-simplify]: Simplify x into x
12.450 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.451 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.451 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.451 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.451 * [taylor]: Taking taylor expansion of z in y
12.451 * [backup-simplify]: Simplify z into z
12.451 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.451 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.451 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.451 * [taylor]: Taking taylor expansion of y in y
12.451 * [backup-simplify]: Simplify 0 into 0
12.451 * [backup-simplify]: Simplify 1 into 1
12.452 * [backup-simplify]: Simplify (* 1 1) into 1
12.452 * [backup-simplify]: Simplify (/ 1 1) into 1
12.453 * [backup-simplify]: Simplify (+ 0 1) into 1
12.453 * [backup-simplify]: Simplify (+ 0 1) into 1
12.453 * [backup-simplify]: Simplify (sqrt 1) into 1
12.454 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.455 * [backup-simplify]: Simplify (+ 0 0) into 0
12.456 * [backup-simplify]: Simplify (+ 0 0) into 0
12.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.456 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.456 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.457 * [taylor]: Taking taylor expansion of x in z
12.457 * [backup-simplify]: Simplify x into x
12.457 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.457 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.457 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.457 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.457 * [taylor]: Taking taylor expansion of z in z
12.457 * [backup-simplify]: Simplify 0 into 0
12.457 * [backup-simplify]: Simplify 1 into 1
12.458 * [backup-simplify]: Simplify (* 1 1) into 1
12.458 * [backup-simplify]: Simplify (/ 1 1) into 1
12.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.458 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.458 * [taylor]: Taking taylor expansion of y in z
12.458 * [backup-simplify]: Simplify y into y
12.458 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.458 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.459 * [backup-simplify]: Simplify (+ 1 0) into 1
12.459 * [backup-simplify]: Simplify (+ 0 1) into 1
12.460 * [backup-simplify]: Simplify (sqrt 1) into 1
12.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.462 * [backup-simplify]: Simplify (+ 0 0) into 0
12.462 * [backup-simplify]: Simplify (+ 0 0) into 0
12.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.463 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.463 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.463 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.463 * [taylor]: Taking taylor expansion of x in z
12.463 * [backup-simplify]: Simplify x into x
12.463 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.463 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.463 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.464 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.464 * [taylor]: Taking taylor expansion of z in z
12.464 * [backup-simplify]: Simplify 0 into 0
12.464 * [backup-simplify]: Simplify 1 into 1
12.464 * [backup-simplify]: Simplify (* 1 1) into 1
12.464 * [backup-simplify]: Simplify (/ 1 1) into 1
12.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.464 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.464 * [taylor]: Taking taylor expansion of y in z
12.465 * [backup-simplify]: Simplify y into y
12.465 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.465 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.465 * [backup-simplify]: Simplify (+ 1 0) into 1
12.466 * [backup-simplify]: Simplify (+ 0 1) into 1
12.466 * [backup-simplify]: Simplify (sqrt 1) into 1
12.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.468 * [backup-simplify]: Simplify (+ 0 0) into 0
12.468 * [backup-simplify]: Simplify (+ 0 0) into 0
12.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.469 * [taylor]: Taking taylor expansion of 1 in y
12.469 * [backup-simplify]: Simplify 1 into 1
12.469 * [taylor]: Taking taylor expansion of 0 in y
12.469 * [backup-simplify]: Simplify 0 into 0
12.469 * [taylor]: Taking taylor expansion of 1 in x
12.469 * [backup-simplify]: Simplify 1 into 1
12.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.471 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
12.472 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
12.473 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
12.473 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
12.473 * [taylor]: Taking taylor expansion of 1/2 in y
12.473 * [backup-simplify]: Simplify 1/2 into 1/2
12.473 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
12.473 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.473 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.473 * [taylor]: Taking taylor expansion of x in y
12.473 * [backup-simplify]: Simplify x into x
12.473 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.474 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.474 * [taylor]: Taking taylor expansion of y in y
12.474 * [backup-simplify]: Simplify 0 into 0
12.474 * [backup-simplify]: Simplify 1 into 1
12.474 * [backup-simplify]: Simplify (* 1 1) into 1
12.474 * [backup-simplify]: Simplify (/ 1 1) into 1
12.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.476 * [backup-simplify]: Simplify (+ 0 0) into 0
12.477 * [backup-simplify]: Simplify (+ 0 1) into 1
12.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.477 * [taylor]: Taking taylor expansion of 0 in x
12.477 * [backup-simplify]: Simplify 0 into 0
12.478 * [taylor]: Taking taylor expansion of 0 in x
12.478 * [backup-simplify]: Simplify 0 into 0
12.478 * [taylor]: Taking taylor expansion of 0 in x
12.478 * [backup-simplify]: Simplify 0 into 0
12.478 * [backup-simplify]: Simplify 1 into 1
12.478 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.480 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.481 * [backup-simplify]: Simplify (+ 0 0) into 0
12.481 * [backup-simplify]: Simplify (+ 0 0) into 0
12.482 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
12.482 * [taylor]: Taking taylor expansion of 0 in y
12.482 * [backup-simplify]: Simplify 0 into 0
12.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.484 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
12.485 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
12.485 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
12.485 * [taylor]: Taking taylor expansion of 1/2 in x
12.485 * [backup-simplify]: Simplify 1/2 into 1/2
12.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.485 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.485 * [taylor]: Taking taylor expansion of x in x
12.485 * [backup-simplify]: Simplify 0 into 0
12.485 * [backup-simplify]: Simplify 1 into 1
12.485 * [backup-simplify]: Simplify (* 1 1) into 1
12.486 * [backup-simplify]: Simplify (/ 1 1) into 1
12.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.487 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.487 * [backup-simplify]: Simplify 0 into 0
12.487 * [taylor]: Taking taylor expansion of 0 in x
12.487 * [backup-simplify]: Simplify 0 into 0
12.487 * [taylor]: Taking taylor expansion of 0 in x
12.487 * [backup-simplify]: Simplify 0 into 0
12.487 * [backup-simplify]: Simplify 0 into 0
12.487 * [backup-simplify]: Simplify 0 into 0
12.487 * [backup-simplify]: Simplify 0 into 0
12.487 * [backup-simplify]: Simplify 0 into 0
12.488 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
12.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.489 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.490 * [backup-simplify]: Simplify (+ 0 0) into 0
12.490 * [backup-simplify]: Simplify (+ 0 0) into 0
12.491 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
12.491 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
12.491 * [taylor]: Taking taylor expansion of -1/2 in y
12.491 * [backup-simplify]: Simplify -1/2 into -1/2
12.491 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
12.491 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
12.491 * [taylor]: Taking taylor expansion of 1/2 in y
12.491 * [backup-simplify]: Simplify 1/2 into 1/2
12.491 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
12.491 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
12.491 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.492 * [taylor]: Taking taylor expansion of x in y
12.492 * [backup-simplify]: Simplify x into x
12.492 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.492 * [taylor]: Taking taylor expansion of y in y
12.492 * [backup-simplify]: Simplify 0 into 0
12.492 * [backup-simplify]: Simplify 1 into 1
12.492 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.492 * [backup-simplify]: Simplify (* 1 1) into 1
12.492 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
12.492 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.492 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
12.492 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
12.492 * [taylor]: Taking taylor expansion of 1/4 in y
12.492 * [backup-simplify]: Simplify 1/4 into 1/4
12.492 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
12.492 * [taylor]: Taking taylor expansion of (pow x 4) in y
12.492 * [taylor]: Taking taylor expansion of x in y
12.492 * [backup-simplify]: Simplify x into x
12.492 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.492 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
12.492 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
12.493 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.493 * [taylor]: Taking taylor expansion of 1/4 in y
12.493 * [backup-simplify]: Simplify 1/4 into 1/4
12.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.493 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.493 * [taylor]: Taking taylor expansion of y in y
12.493 * [backup-simplify]: Simplify 0 into 0
12.493 * [backup-simplify]: Simplify 1 into 1
12.493 * [backup-simplify]: Simplify (* 1 1) into 1
12.493 * [backup-simplify]: Simplify (* 1 1) into 1
12.493 * [backup-simplify]: Simplify (/ 1 1) into 1
12.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.494 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.494 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
12.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
12.496 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.502 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.502 * [backup-simplify]: Simplify (+ 0 0) into 0
12.502 * [backup-simplify]: Simplify (+ 0 0) into 0
12.502 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
12.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.503 * [backup-simplify]: Simplify (+ 0 0) into 0
12.503 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
12.507 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.508 * [backup-simplify]: Simplify (+ 0 0) into 0
12.508 * [backup-simplify]: Simplify (+ 0 0) into 0
12.508 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.509 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.509 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.510 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.510 * [taylor]: Taking taylor expansion of 0 in x
12.510 * [backup-simplify]: Simplify 0 into 0
12.510 * [taylor]: Taking taylor expansion of 0 in x
12.510 * [backup-simplify]: Simplify 0 into 0
12.510 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.512 * [backup-simplify]: Simplify (+ 0 0) into 0
12.513 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
12.513 * [taylor]: Taking taylor expansion of 0 in x
12.513 * [backup-simplify]: Simplify 0 into 0
12.513 * [taylor]: Taking taylor expansion of 0 in x
12.513 * [backup-simplify]: Simplify 0 into 0
12.513 * [taylor]: Taking taylor expansion of 0 in x
12.513 * [backup-simplify]: Simplify 0 into 0
12.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.516 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.516 * [backup-simplify]: Simplify 0 into 0
12.517 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
12.517 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
12.517 * [backup-simplify]: Simplify (sqrt (+ (* z z) (+ (* y y) (* x x)))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
12.517 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (z y x) around 0
12.517 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
12.517 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
12.517 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.517 * [taylor]: Taking taylor expansion of x in x
12.517 * [backup-simplify]: Simplify 0 into 0
12.517 * [backup-simplify]: Simplify 1 into 1
12.517 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
12.517 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.517 * [taylor]: Taking taylor expansion of y in x
12.517 * [backup-simplify]: Simplify y into y
12.518 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.518 * [taylor]: Taking taylor expansion of z in x
12.518 * [backup-simplify]: Simplify z into z
12.518 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.518 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.518 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.518 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
12.519 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.519 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.519 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.519 * [backup-simplify]: Simplify (+ 0 0) into 0
12.520 * [backup-simplify]: Simplify (+ 0 0) into 0
12.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.520 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
12.520 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
12.520 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.520 * [taylor]: Taking taylor expansion of x in y
12.520 * [backup-simplify]: Simplify x into x
12.520 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.520 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.520 * [taylor]: Taking taylor expansion of y in y
12.520 * [backup-simplify]: Simplify 0 into 0
12.520 * [backup-simplify]: Simplify 1 into 1
12.520 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.520 * [taylor]: Taking taylor expansion of z in y
12.520 * [backup-simplify]: Simplify z into z
12.521 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.521 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.521 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.521 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.521 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
12.521 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.521 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.522 * [backup-simplify]: Simplify (+ 0 0) into 0
12.522 * [backup-simplify]: Simplify (+ 0 0) into 0
12.523 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
12.523 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.523 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.523 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.523 * [taylor]: Taking taylor expansion of x in z
12.523 * [backup-simplify]: Simplify x into x
12.523 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.523 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.523 * [taylor]: Taking taylor expansion of y in z
12.523 * [backup-simplify]: Simplify y into y
12.523 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.523 * [taylor]: Taking taylor expansion of z in z
12.523 * [backup-simplify]: Simplify 0 into 0
12.523 * [backup-simplify]: Simplify 1 into 1
12.523 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.523 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.523 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.524 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.524 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
12.524 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.524 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.525 * [backup-simplify]: Simplify (+ 0 0) into 0
12.525 * [backup-simplify]: Simplify (+ 0 0) into 0
12.525 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
12.525 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.525 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.525 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.525 * [taylor]: Taking taylor expansion of x in z
12.525 * [backup-simplify]: Simplify x into x
12.525 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.525 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.525 * [taylor]: Taking taylor expansion of y in z
12.526 * [backup-simplify]: Simplify y into y
12.526 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.526 * [taylor]: Taking taylor expansion of z in z
12.526 * [backup-simplify]: Simplify 0 into 0
12.526 * [backup-simplify]: Simplify 1 into 1
12.526 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.526 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.526 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.526 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.526 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
12.527 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.527 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.527 * [backup-simplify]: Simplify (+ 0 0) into 0
12.527 * [backup-simplify]: Simplify (+ 0 0) into 0
12.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
12.528 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
12.528 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
12.528 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.528 * [taylor]: Taking taylor expansion of x in y
12.528 * [backup-simplify]: Simplify x into x
12.528 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.528 * [taylor]: Taking taylor expansion of y in y
12.528 * [backup-simplify]: Simplify 0 into 0
12.528 * [backup-simplify]: Simplify 1 into 1
12.528 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.528 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.529 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
12.529 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.529 * [backup-simplify]: Simplify (+ 0 0) into 0
12.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
12.529 * [taylor]: Taking taylor expansion of x in x
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 1 into 1
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [taylor]: Taking taylor expansion of 0 in y
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [taylor]: Taking taylor expansion of 0 in x
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [taylor]: Taking taylor expansion of 0 in x
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 1 into 1
12.530 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.530 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.530 * [backup-simplify]: Simplify (* 1 1) into 1
12.531 * [backup-simplify]: Simplify (+ 0 1) into 1
12.531 * [backup-simplify]: Simplify (+ 0 1) into 1
12.532 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2)))))
12.532 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow x 2) (pow y 2))))) in y
12.532 * [taylor]: Taking taylor expansion of 1/2 in y
12.532 * [backup-simplify]: Simplify 1/2 into 1/2
12.532 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow x 2) (pow y 2)))) in y
12.532 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow x 2) (pow y 2))) in y
12.532 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
12.532 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.532 * [taylor]: Taking taylor expansion of x in y
12.532 * [backup-simplify]: Simplify x into x
12.532 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.532 * [taylor]: Taking taylor expansion of y in y
12.532 * [backup-simplify]: Simplify 0 into 0
12.532 * [backup-simplify]: Simplify 1 into 1
12.532 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.532 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.532 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.532 * [backup-simplify]: Simplify (sqrt (/ 1 (pow x 2))) into (/ 1 x)
12.532 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.532 * [backup-simplify]: Simplify (+ 0 0) into 0
12.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow x 2))))) into 0
12.533 * [backup-simplify]: Simplify (* 1/2 (/ 1 x)) into (/ 1/2 x)
12.533 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
12.533 * [taylor]: Taking taylor expansion of 1/2 in x
12.533 * [backup-simplify]: Simplify 1/2 into 1/2
12.533 * [taylor]: Taking taylor expansion of x in x
12.533 * [backup-simplify]: Simplify 0 into 0
12.533 * [backup-simplify]: Simplify 1 into 1
12.533 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.534 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.534 * [backup-simplify]: Simplify 0 into 0
12.534 * [taylor]: Taking taylor expansion of 0 in x
12.534 * [backup-simplify]: Simplify 0 into 0
12.534 * [backup-simplify]: Simplify 0 into 0
12.534 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.535 * [backup-simplify]: Simplify (* 1 1) into 1
12.535 * [backup-simplify]: Simplify (+ 0 1) into 1
12.535 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 x)) into (/ 1/2 x)
12.535 * [taylor]: Taking taylor expansion of (/ 1/2 x) in x
12.535 * [taylor]: Taking taylor expansion of 1/2 in x
12.536 * [backup-simplify]: Simplify 1/2 into 1/2
12.536 * [taylor]: Taking taylor expansion of x in x
12.536 * [backup-simplify]: Simplify 0 into 0
12.536 * [backup-simplify]: Simplify 1 into 1
12.536 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.536 * [backup-simplify]: Simplify 0 into 0
12.536 * [backup-simplify]: Simplify 0 into 0
12.536 * [backup-simplify]: Simplify 0 into 0
12.536 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify (* 1 (* x (* 1 1))) into x
12.537 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 z) (/ 1 z)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
12.537 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
12.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.537 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.537 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.537 * [taylor]: Taking taylor expansion of x in x
12.537 * [backup-simplify]: Simplify 0 into 0
12.537 * [backup-simplify]: Simplify 1 into 1
12.538 * [backup-simplify]: Simplify (* 1 1) into 1
12.538 * [backup-simplify]: Simplify (/ 1 1) into 1
12.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.538 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.538 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.538 * [taylor]: Taking taylor expansion of z in x
12.538 * [backup-simplify]: Simplify z into z
12.538 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.538 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.538 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.538 * [taylor]: Taking taylor expansion of y in x
12.538 * [backup-simplify]: Simplify y into y
12.538 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.538 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.539 * [backup-simplify]: Simplify (+ 1 0) into 1
12.539 * [backup-simplify]: Simplify (sqrt 1) into 1
12.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.540 * [backup-simplify]: Simplify (+ 0 0) into 0
12.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.540 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.540 * [taylor]: Taking taylor expansion of x in y
12.540 * [backup-simplify]: Simplify x into x
12.541 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.541 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.541 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.541 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.541 * [taylor]: Taking taylor expansion of z in y
12.541 * [backup-simplify]: Simplify z into z
12.541 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.541 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.541 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.541 * [taylor]: Taking taylor expansion of y in y
12.541 * [backup-simplify]: Simplify 0 into 0
12.541 * [backup-simplify]: Simplify 1 into 1
12.541 * [backup-simplify]: Simplify (* 1 1) into 1
12.541 * [backup-simplify]: Simplify (/ 1 1) into 1
12.542 * [backup-simplify]: Simplify (+ 0 1) into 1
12.542 * [backup-simplify]: Simplify (+ 0 1) into 1
12.542 * [backup-simplify]: Simplify (sqrt 1) into 1
12.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.543 * [backup-simplify]: Simplify (+ 0 0) into 0
12.544 * [backup-simplify]: Simplify (+ 0 0) into 0
12.544 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.544 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.544 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.544 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.544 * [taylor]: Taking taylor expansion of x in z
12.544 * [backup-simplify]: Simplify x into x
12.544 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.544 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.544 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.544 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.544 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.544 * [taylor]: Taking taylor expansion of z in z
12.544 * [backup-simplify]: Simplify 0 into 0
12.544 * [backup-simplify]: Simplify 1 into 1
12.545 * [backup-simplify]: Simplify (* 1 1) into 1
12.545 * [backup-simplify]: Simplify (/ 1 1) into 1
12.545 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.545 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.545 * [taylor]: Taking taylor expansion of y in z
12.545 * [backup-simplify]: Simplify y into y
12.545 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.545 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.546 * [backup-simplify]: Simplify (+ 1 0) into 1
12.546 * [backup-simplify]: Simplify (+ 0 1) into 1
12.546 * [backup-simplify]: Simplify (sqrt 1) into 1
12.546 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.547 * [backup-simplify]: Simplify (+ 0 0) into 0
12.547 * [backup-simplify]: Simplify (+ 0 0) into 0
12.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.548 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.548 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.548 * [taylor]: Taking taylor expansion of x in z
12.548 * [backup-simplify]: Simplify x into x
12.548 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.548 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.548 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.548 * [taylor]: Taking taylor expansion of z in z
12.548 * [backup-simplify]: Simplify 0 into 0
12.548 * [backup-simplify]: Simplify 1 into 1
12.548 * [backup-simplify]: Simplify (* 1 1) into 1
12.549 * [backup-simplify]: Simplify (/ 1 1) into 1
12.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.549 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.549 * [taylor]: Taking taylor expansion of y in z
12.549 * [backup-simplify]: Simplify y into y
12.549 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.549 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.549 * [backup-simplify]: Simplify (+ 1 0) into 1
12.550 * [backup-simplify]: Simplify (+ 0 1) into 1
12.550 * [backup-simplify]: Simplify (sqrt 1) into 1
12.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.551 * [backup-simplify]: Simplify (+ 0 0) into 0
12.551 * [backup-simplify]: Simplify (+ 0 0) into 0
12.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.552 * [taylor]: Taking taylor expansion of 1 in y
12.552 * [backup-simplify]: Simplify 1 into 1
12.552 * [taylor]: Taking taylor expansion of 0 in y
12.552 * [backup-simplify]: Simplify 0 into 0
12.552 * [taylor]: Taking taylor expansion of 1 in x
12.552 * [backup-simplify]: Simplify 1 into 1
12.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.553 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
12.553 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
12.555 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
12.555 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
12.555 * [taylor]: Taking taylor expansion of 1/2 in y
12.555 * [backup-simplify]: Simplify 1/2 into 1/2
12.555 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
12.555 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.555 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.555 * [taylor]: Taking taylor expansion of x in y
12.555 * [backup-simplify]: Simplify x into x
12.555 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.555 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.555 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.555 * [taylor]: Taking taylor expansion of y in y
12.555 * [backup-simplify]: Simplify 0 into 0
12.555 * [backup-simplify]: Simplify 1 into 1
12.555 * [backup-simplify]: Simplify (* 1 1) into 1
12.555 * [backup-simplify]: Simplify (/ 1 1) into 1
12.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.557 * [backup-simplify]: Simplify (+ 0 0) into 0
12.557 * [backup-simplify]: Simplify (+ 0 1) into 1
12.557 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.557 * [taylor]: Taking taylor expansion of 0 in x
12.557 * [backup-simplify]: Simplify 0 into 0
12.557 * [taylor]: Taking taylor expansion of 0 in x
12.557 * [backup-simplify]: Simplify 0 into 0
12.557 * [taylor]: Taking taylor expansion of 0 in x
12.557 * [backup-simplify]: Simplify 0 into 0
12.557 * [backup-simplify]: Simplify 1 into 1
12.558 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.559 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.559 * [backup-simplify]: Simplify (+ 0 0) into 0
12.560 * [backup-simplify]: Simplify (+ 0 0) into 0
12.560 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
12.560 * [taylor]: Taking taylor expansion of 0 in y
12.560 * [backup-simplify]: Simplify 0 into 0
12.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.562 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
12.562 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
12.562 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
12.562 * [taylor]: Taking taylor expansion of 1/2 in x
12.562 * [backup-simplify]: Simplify 1/2 into 1/2
12.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.562 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.562 * [taylor]: Taking taylor expansion of x in x
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify 1 into 1
12.563 * [backup-simplify]: Simplify (* 1 1) into 1
12.563 * [backup-simplify]: Simplify (/ 1 1) into 1
12.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.564 * [backup-simplify]: Simplify 0 into 0
12.564 * [taylor]: Taking taylor expansion of 0 in x
12.564 * [backup-simplify]: Simplify 0 into 0
12.564 * [taylor]: Taking taylor expansion of 0 in x
12.564 * [backup-simplify]: Simplify 0 into 0
12.564 * [backup-simplify]: Simplify 0 into 0
12.564 * [backup-simplify]: Simplify 0 into 0
12.564 * [backup-simplify]: Simplify 0 into 0
12.564 * [backup-simplify]: Simplify 0 into 0
12.565 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
12.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.567 * [backup-simplify]: Simplify (+ 0 0) into 0
12.567 * [backup-simplify]: Simplify (+ 0 0) into 0
12.568 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
12.568 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
12.569 * [taylor]: Taking taylor expansion of -1/2 in y
12.569 * [backup-simplify]: Simplify -1/2 into -1/2
12.569 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
12.569 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
12.569 * [taylor]: Taking taylor expansion of 1/2 in y
12.569 * [backup-simplify]: Simplify 1/2 into 1/2
12.569 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
12.569 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
12.569 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.569 * [taylor]: Taking taylor expansion of x in y
12.569 * [backup-simplify]: Simplify x into x
12.569 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.569 * [taylor]: Taking taylor expansion of y in y
12.569 * [backup-simplify]: Simplify 0 into 0
12.569 * [backup-simplify]: Simplify 1 into 1
12.569 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.569 * [backup-simplify]: Simplify (* 1 1) into 1
12.569 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
12.569 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.569 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
12.569 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
12.569 * [taylor]: Taking taylor expansion of 1/4 in y
12.569 * [backup-simplify]: Simplify 1/4 into 1/4
12.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
12.569 * [taylor]: Taking taylor expansion of (pow x 4) in y
12.569 * [taylor]: Taking taylor expansion of x in y
12.569 * [backup-simplify]: Simplify x into x
12.569 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.570 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
12.570 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
12.570 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.570 * [taylor]: Taking taylor expansion of 1/4 in y
12.570 * [backup-simplify]: Simplify 1/4 into 1/4
12.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.570 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.570 * [taylor]: Taking taylor expansion of y in y
12.570 * [backup-simplify]: Simplify 0 into 0
12.570 * [backup-simplify]: Simplify 1 into 1
12.570 * [backup-simplify]: Simplify (* 1 1) into 1
12.570 * [backup-simplify]: Simplify (* 1 1) into 1
12.571 * [backup-simplify]: Simplify (/ 1 1) into 1
12.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.571 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.571 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
12.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.572 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
12.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.576 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.581 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.581 * [backup-simplify]: Simplify (+ 0 0) into 0
12.581 * [backup-simplify]: Simplify (+ 0 0) into 0
12.581 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
12.582 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.582 * [backup-simplify]: Simplify (+ 0 0) into 0
12.582 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
12.583 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.583 * [backup-simplify]: Simplify (+ 0 0) into 0
12.583 * [backup-simplify]: Simplify (+ 0 0) into 0
12.584 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.584 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.584 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.585 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.585 * [taylor]: Taking taylor expansion of 0 in x
12.585 * [backup-simplify]: Simplify 0 into 0
12.585 * [taylor]: Taking taylor expansion of 0 in x
12.585 * [backup-simplify]: Simplify 0 into 0
12.585 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.587 * [backup-simplify]: Simplify (+ 0 0) into 0
12.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
12.588 * [taylor]: Taking taylor expansion of 0 in x
12.588 * [backup-simplify]: Simplify 0 into 0
12.588 * [taylor]: Taking taylor expansion of 0 in x
12.588 * [backup-simplify]: Simplify 0 into 0
12.588 * [taylor]: Taking taylor expansion of 0 in x
12.588 * [backup-simplify]: Simplify 0 into 0
12.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.590 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.590 * [backup-simplify]: Simplify 0 into 0
12.590 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 z))))) into z
12.591 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))
12.591 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (z y x) around 0
12.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.591 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.591 * [taylor]: Taking taylor expansion of x in x
12.591 * [backup-simplify]: Simplify 0 into 0
12.591 * [backup-simplify]: Simplify 1 into 1
12.591 * [backup-simplify]: Simplify (* 1 1) into 1
12.591 * [backup-simplify]: Simplify (/ 1 1) into 1
12.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.591 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.591 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.591 * [taylor]: Taking taylor expansion of z in x
12.591 * [backup-simplify]: Simplify z into z
12.592 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.592 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.592 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.592 * [taylor]: Taking taylor expansion of y in x
12.592 * [backup-simplify]: Simplify y into y
12.592 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.592 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.592 * [backup-simplify]: Simplify (+ 1 0) into 1
12.592 * [backup-simplify]: Simplify (sqrt 1) into 1
12.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.594 * [backup-simplify]: Simplify (+ 0 0) into 0
12.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.594 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.594 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.594 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.594 * [taylor]: Taking taylor expansion of x in y
12.594 * [backup-simplify]: Simplify x into x
12.594 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.594 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.594 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.594 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.594 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.594 * [taylor]: Taking taylor expansion of z in y
12.594 * [backup-simplify]: Simplify z into z
12.594 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.595 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.595 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.595 * [taylor]: Taking taylor expansion of y in y
12.595 * [backup-simplify]: Simplify 0 into 0
12.595 * [backup-simplify]: Simplify 1 into 1
12.595 * [backup-simplify]: Simplify (* 1 1) into 1
12.595 * [backup-simplify]: Simplify (/ 1 1) into 1
12.595 * [backup-simplify]: Simplify (+ 0 1) into 1
12.596 * [backup-simplify]: Simplify (+ 0 1) into 1
12.596 * [backup-simplify]: Simplify (sqrt 1) into 1
12.596 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.597 * [backup-simplify]: Simplify (+ 0 0) into 0
12.597 * [backup-simplify]: Simplify (+ 0 0) into 0
12.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.598 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.598 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.598 * [taylor]: Taking taylor expansion of x in z
12.598 * [backup-simplify]: Simplify x into x
12.598 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.598 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.598 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.598 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.598 * [taylor]: Taking taylor expansion of z in z
12.598 * [backup-simplify]: Simplify 0 into 0
12.598 * [backup-simplify]: Simplify 1 into 1
12.598 * [backup-simplify]: Simplify (* 1 1) into 1
12.599 * [backup-simplify]: Simplify (/ 1 1) into 1
12.599 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.599 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.599 * [taylor]: Taking taylor expansion of y in z
12.599 * [backup-simplify]: Simplify y into y
12.599 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.599 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.599 * [backup-simplify]: Simplify (+ 1 0) into 1
12.599 * [backup-simplify]: Simplify (+ 0 1) into 1
12.600 * [backup-simplify]: Simplify (sqrt 1) into 1
12.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.601 * [backup-simplify]: Simplify (+ 0 0) into 0
12.601 * [backup-simplify]: Simplify (+ 0 0) into 0
12.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.602 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.602 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.602 * [taylor]: Taking taylor expansion of x in z
12.602 * [backup-simplify]: Simplify x into x
12.602 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.602 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.602 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.602 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.602 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.602 * [taylor]: Taking taylor expansion of z in z
12.602 * [backup-simplify]: Simplify 0 into 0
12.602 * [backup-simplify]: Simplify 1 into 1
12.602 * [backup-simplify]: Simplify (* 1 1) into 1
12.602 * [backup-simplify]: Simplify (/ 1 1) into 1
12.602 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.602 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.602 * [taylor]: Taking taylor expansion of y in z
12.602 * [backup-simplify]: Simplify y into y
12.602 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.603 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.603 * [backup-simplify]: Simplify (+ 1 0) into 1
12.603 * [backup-simplify]: Simplify (+ 0 1) into 1
12.603 * [backup-simplify]: Simplify (sqrt 1) into 1
12.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.604 * [backup-simplify]: Simplify (+ 0 0) into 0
12.605 * [backup-simplify]: Simplify (+ 0 0) into 0
12.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.605 * [taylor]: Taking taylor expansion of 1 in y
12.605 * [backup-simplify]: Simplify 1 into 1
12.605 * [taylor]: Taking taylor expansion of 0 in y
12.605 * [backup-simplify]: Simplify 0 into 0
12.605 * [taylor]: Taking taylor expansion of 1 in x
12.605 * [backup-simplify]: Simplify 1 into 1
12.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.607 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
12.607 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
12.608 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
12.608 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
12.608 * [taylor]: Taking taylor expansion of 1/2 in y
12.608 * [backup-simplify]: Simplify 1/2 into 1/2
12.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
12.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.608 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.608 * [taylor]: Taking taylor expansion of x in y
12.608 * [backup-simplify]: Simplify x into x
12.608 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.608 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.608 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.608 * [taylor]: Taking taylor expansion of y in y
12.608 * [backup-simplify]: Simplify 0 into 0
12.608 * [backup-simplify]: Simplify 1 into 1
12.608 * [backup-simplify]: Simplify (* 1 1) into 1
12.609 * [backup-simplify]: Simplify (/ 1 1) into 1
12.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.610 * [backup-simplify]: Simplify (+ 0 0) into 0
12.611 * [backup-simplify]: Simplify (+ 0 1) into 1
12.611 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.611 * [taylor]: Taking taylor expansion of 0 in x
12.612 * [backup-simplify]: Simplify 0 into 0
12.612 * [taylor]: Taking taylor expansion of 0 in x
12.612 * [backup-simplify]: Simplify 0 into 0
12.612 * [taylor]: Taking taylor expansion of 0 in x
12.612 * [backup-simplify]: Simplify 0 into 0
12.612 * [backup-simplify]: Simplify 1 into 1
12.612 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.615 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.615 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.615 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.616 * [backup-simplify]: Simplify (+ 0 0) into 0
12.616 * [backup-simplify]: Simplify (+ 0 0) into 0
12.617 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
12.617 * [taylor]: Taking taylor expansion of 0 in y
12.617 * [backup-simplify]: Simplify 0 into 0
12.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.619 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) 0) into (/ 1 (pow x 2))
12.620 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow x 2)))
12.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow x 2))) in x
12.620 * [taylor]: Taking taylor expansion of 1/2 in x
12.620 * [backup-simplify]: Simplify 1/2 into 1/2
12.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.620 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.620 * [taylor]: Taking taylor expansion of x in x
12.620 * [backup-simplify]: Simplify 0 into 0
12.620 * [backup-simplify]: Simplify 1 into 1
12.621 * [backup-simplify]: Simplify (* 1 1) into 1
12.626 * [backup-simplify]: Simplify (/ 1 1) into 1
12.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.628 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.628 * [backup-simplify]: Simplify 0 into 0
12.628 * [taylor]: Taking taylor expansion of 0 in x
12.628 * [backup-simplify]: Simplify 0 into 0
12.628 * [taylor]: Taking taylor expansion of 0 in x
12.628 * [backup-simplify]: Simplify 0 into 0
12.628 * [backup-simplify]: Simplify 0 into 0
12.628 * [backup-simplify]: Simplify 0 into 0
12.629 * [backup-simplify]: Simplify 0 into 0
12.629 * [backup-simplify]: Simplify 0 into 0
12.629 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0
12.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.631 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.632 * [backup-simplify]: Simplify (+ 0 0) into 0
12.632 * [backup-simplify]: Simplify (+ 0 0) into 0
12.633 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))))
12.633 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))))) in y
12.633 * [taylor]: Taking taylor expansion of -1/2 in y
12.633 * [backup-simplify]: Simplify -1/2 into -1/2
12.633 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4))))) in y
12.633 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow x 2) (pow y 2)))) in y
12.633 * [taylor]: Taking taylor expansion of 1/2 in y
12.633 * [backup-simplify]: Simplify 1/2 into 1/2
12.633 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (pow y 2))) in y
12.633 * [taylor]: Taking taylor expansion of (* (pow x 2) (pow y 2)) in y
12.633 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.633 * [taylor]: Taking taylor expansion of x in y
12.633 * [backup-simplify]: Simplify x into x
12.633 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.633 * [taylor]: Taking taylor expansion of y in y
12.633 * [backup-simplify]: Simplify 0 into 0
12.633 * [backup-simplify]: Simplify 1 into 1
12.633 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.634 * [backup-simplify]: Simplify (* 1 1) into 1
12.634 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2)
12.634 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.634 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow x 4))) (* 1/4 (/ 1 (pow y 4)))) in y
12.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow x 4))) in y
12.634 * [taylor]: Taking taylor expansion of 1/4 in y
12.634 * [backup-simplify]: Simplify 1/4 into 1/4
12.634 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in y
12.634 * [taylor]: Taking taylor expansion of (pow x 4) in y
12.634 * [taylor]: Taking taylor expansion of x in y
12.634 * [backup-simplify]: Simplify x into x
12.634 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.634 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
12.634 * [backup-simplify]: Simplify (/ 1 (pow x 4)) into (/ 1 (pow x 4))
12.634 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.634 * [taylor]: Taking taylor expansion of 1/4 in y
12.634 * [backup-simplify]: Simplify 1/4 into 1/4
12.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.634 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.634 * [taylor]: Taking taylor expansion of y in y
12.634 * [backup-simplify]: Simplify 0 into 0
12.634 * [backup-simplify]: Simplify 1 into 1
12.635 * [backup-simplify]: Simplify (* 1 1) into 1
12.635 * [backup-simplify]: Simplify (* 1 1) into 1
12.635 * [backup-simplify]: Simplify (/ 1 1) into 1
12.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.636 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.636 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0
12.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.637 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow x 2)))) into 0
12.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.642 * [backup-simplify]: Simplify (+ 0 0) into 0
12.643 * [backup-simplify]: Simplify (+ 0 0) into 0
12.643 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow x 2))) into (/ 1/2 (pow x 2))
12.644 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.644 * [backup-simplify]: Simplify (+ 0 0) into 0
12.644 * [backup-simplify]: Simplify (+ (/ 1/2 (pow x 2)) 0) into (* 1/2 (/ 1 (pow x 2)))
12.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.645 * [backup-simplify]: Simplify (+ 0 0) into 0
12.646 * [backup-simplify]: Simplify (+ 0 0) into 0
12.646 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.647 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.647 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.648 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow x 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.648 * [taylor]: Taking taylor expansion of 0 in x
12.648 * [backup-simplify]: Simplify 0 into 0
12.648 * [taylor]: Taking taylor expansion of 0 in x
12.648 * [backup-simplify]: Simplify 0 into 0
12.649 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
12.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.651 * [backup-simplify]: Simplify (+ 0 0) into 0
12.652 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0
12.652 * [taylor]: Taking taylor expansion of 0 in x
12.653 * [backup-simplify]: Simplify 0 into 0
12.653 * [taylor]: Taking taylor expansion of 0 in x
12.653 * [backup-simplify]: Simplify 0 into 0
12.653 * [taylor]: Taking taylor expansion of 0 in x
12.653 * [backup-simplify]: Simplify 0 into 0
12.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.655 * [backup-simplify]: Simplify 0 into 0
12.656 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- z)))))) into (* -1 z)
12.656 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
12.657 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))) into (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6)
12.657 * [approximate]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in (z y x) around 0
12.657 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in x
12.657 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in x
12.657 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in x
12.657 * [taylor]: Taking taylor expansion of 1/6 in x
12.657 * [backup-simplify]: Simplify 1/6 into 1/6
12.657 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
12.657 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
12.657 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.657 * [taylor]: Taking taylor expansion of x in x
12.657 * [backup-simplify]: Simplify 0 into 0
12.657 * [backup-simplify]: Simplify 1 into 1
12.657 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
12.657 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.657 * [taylor]: Taking taylor expansion of y in x
12.657 * [backup-simplify]: Simplify y into y
12.657 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.657 * [taylor]: Taking taylor expansion of z in x
12.657 * [backup-simplify]: Simplify z into z
12.657 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.658 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.658 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.658 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
12.658 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
12.659 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow y 2) (pow z 2)))) into (* 1/6 (log (+ (pow y 2) (pow z 2))))
12.659 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/6)
12.659 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in y
12.659 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in y
12.659 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in y
12.659 * [taylor]: Taking taylor expansion of 1/6 in y
12.659 * [backup-simplify]: Simplify 1/6 into 1/6
12.659 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
12.659 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
12.659 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.659 * [taylor]: Taking taylor expansion of x in y
12.659 * [backup-simplify]: Simplify x into x
12.659 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.659 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.659 * [taylor]: Taking taylor expansion of y in y
12.659 * [backup-simplify]: Simplify 0 into 0
12.659 * [backup-simplify]: Simplify 1 into 1
12.659 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.659 * [taylor]: Taking taylor expansion of z in y
12.660 * [backup-simplify]: Simplify z into z
12.660 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.660 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.660 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.660 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.660 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow z 2))) into (log (+ (pow x 2) (pow z 2)))
12.661 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow z 2)))) into (* 1/6 (log (+ (pow x 2) (pow z 2))))
12.661 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/6)
12.661 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in z
12.661 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z
12.661 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z
12.661 * [taylor]: Taking taylor expansion of 1/6 in z
12.661 * [backup-simplify]: Simplify 1/6 into 1/6
12.661 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.661 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.661 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.661 * [taylor]: Taking taylor expansion of x in z
12.661 * [backup-simplify]: Simplify x into x
12.661 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.661 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.661 * [taylor]: Taking taylor expansion of y in z
12.661 * [backup-simplify]: Simplify y into y
12.661 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.661 * [taylor]: Taking taylor expansion of z in z
12.661 * [backup-simplify]: Simplify 0 into 0
12.661 * [backup-simplify]: Simplify 1 into 1
12.662 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.662 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.662 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.662 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.663 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
12.663 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow y 2)))) into (* 1/6 (log (+ (pow x 2) (pow y 2))))
12.663 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
12.663 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (+ (pow y 2) (pow z 2))) 1/6) in z
12.663 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))))) in z
12.663 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (+ (pow y 2) (pow z 2))))) in z
12.663 * [taylor]: Taking taylor expansion of 1/6 in z
12.663 * [backup-simplify]: Simplify 1/6 into 1/6
12.663 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
12.663 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
12.663 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.663 * [taylor]: Taking taylor expansion of x in z
12.663 * [backup-simplify]: Simplify x into x
12.663 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
12.664 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.664 * [taylor]: Taking taylor expansion of y in z
12.664 * [backup-simplify]: Simplify y into y
12.664 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.664 * [taylor]: Taking taylor expansion of z in z
12.664 * [backup-simplify]: Simplify 0 into 0
12.664 * [backup-simplify]: Simplify 1 into 1
12.664 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.664 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.664 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
12.664 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
12.664 * [backup-simplify]: Simplify (log (+ (pow x 2) (pow y 2))) into (log (+ (pow x 2) (pow y 2)))
12.665 * [backup-simplify]: Simplify (* 1/6 (log (+ (pow x 2) (pow y 2)))) into (* 1/6 (log (+ (pow x 2) (pow y 2))))
12.665 * [backup-simplify]: Simplify (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) into (pow (+ (pow x 2) (pow y 2)) 1/6)
12.665 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 1/6) in y
12.665 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) in y
12.665 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (pow x 2) (pow y 2)))) in y
12.665 * [taylor]: Taking taylor expansion of 1/6 in y
12.665 * [backup-simplify]: Simplify 1/6 into 1/6
12.665 * [taylor]: Taking taylor expansion of (log (+ (pow x 2) (pow y 2))) in y
12.665 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
12.665 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.665 * [taylor]: Taking taylor expansion of x in y
12.665 * [backup-simplify]: Simplify x into x
12.666 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.666 * [taylor]: Taking taylor expansion of y in y
12.666 * [backup-simplify]: Simplify 0 into 0
12.666 * [backup-simplify]: Simplify 1 into 1
12.666 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.666 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.666 * [backup-simplify]: Simplify (log (pow x 2)) into (log (pow x 2))
12.666 * [backup-simplify]: Simplify (* 1/6 (log (pow x 2))) into (* 1/6 (log (pow x 2)))
12.666 * [backup-simplify]: Simplify (exp (* 1/6 (log (pow x 2)))) into (pow (pow x 2) 1/6)
12.666 * [taylor]: Taking taylor expansion of (pow (pow x 2) 1/6) in x
12.666 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (pow x 2)))) in x
12.666 * [taylor]: Taking taylor expansion of (* 1/6 (log (pow x 2))) in x
12.666 * [taylor]: Taking taylor expansion of 1/6 in x
12.666 * [backup-simplify]: Simplify 1/6 into 1/6
12.666 * [taylor]: Taking taylor expansion of (log (pow x 2)) in x
12.666 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.667 * [taylor]: Taking taylor expansion of x in x
12.667 * [backup-simplify]: Simplify 0 into 0
12.667 * [backup-simplify]: Simplify 1 into 1
12.667 * [backup-simplify]: Simplify (* 1 1) into 1
12.668 * [backup-simplify]: Simplify (log 1) into 0
12.668 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x))
12.668 * [backup-simplify]: Simplify (* 1/6 (* 2 (log x))) into (* 1/3 (log x))
12.668 * [backup-simplify]: Simplify (exp (* 1/3 (log x))) into (pow x 1/3)
12.668 * [backup-simplify]: Simplify (pow x 1/3) into (pow x 1/3)
12.669 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.669 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.669 * [backup-simplify]: Simplify (+ 0 0) into 0
12.669 * [backup-simplify]: Simplify (+ 0 0) into 0
12.670 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow x 2) (pow y 2)) 1)))) 1) into 0
12.671 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (+ (pow x 2) (pow y 2))))) into 0
12.672 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.672 * [taylor]: Taking taylor expansion of 0 in y
12.672 * [backup-simplify]: Simplify 0 into 0
12.672 * [taylor]: Taking taylor expansion of 0 in x
12.672 * [backup-simplify]: Simplify 0 into 0
12.672 * [backup-simplify]: Simplify 0 into 0
12.673 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.673 * [backup-simplify]: Simplify (+ 0 0) into 0
12.674 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow x 2) 1)))) 1) into 0
12.674 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (log (pow x 2)))) into 0
12.675 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow x 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.675 * [taylor]: Taking taylor expansion of 0 in x
12.675 * [backup-simplify]: Simplify 0 into 0
12.675 * [backup-simplify]: Simplify 0 into 0
12.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.677 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.678 * [backup-simplify]: Simplify (+ (* (- -2) (log x)) 0) into (* 2 (log x))
12.678 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (* 2 (log x)))) into 0
12.679 * [backup-simplify]: Simplify (* (exp (* 1/3 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
12.679 * [backup-simplify]: Simplify 0 into 0
12.680 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.681 * [backup-simplify]: Simplify (* 1 1) into 1
12.681 * [backup-simplify]: Simplify (+ 0 1) into 1
12.681 * [backup-simplify]: Simplify (+ 0 1) into 1
12.684 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow x 2) (pow y 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow x 2) (pow y 2)) 1)))) 2) into (/ 1 (+ (pow x 2) (pow y 2)))
12.685 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (+ (pow x 2) (pow y 2)))) (+ (* 0 0) (* 0 (log (+ (pow x 2) (pow y 2)))))) into (* 1/6 (/ 1 (+ (pow x 2) (pow y 2))))
12.687 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (+ (pow x 2) (pow y 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (+ (pow x 2) (pow y 2)))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6))
12.687 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6)) in y
12.687 * [taylor]: Taking taylor expansion of 1/6 in y
12.687 * [backup-simplify]: Simplify 1/6 into 1/6
12.687 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) 1/6) in y
12.687 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))))) in y
12.687 * [taylor]: Taking taylor expansion of (* 1/6 (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)))) in y
12.687 * [taylor]: Taking taylor expansion of 1/6 in y
12.687 * [backup-simplify]: Simplify 1/6 into 1/6
12.687 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow x 2) (pow y 2)) 5))) in y
12.687 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow x 2) (pow y 2)) 5)) in y
12.687 * [taylor]: Taking taylor expansion of (pow (+ (pow x 2) (pow y 2)) 5) in y
12.687 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
12.687 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.687 * [taylor]: Taking taylor expansion of x in y
12.687 * [backup-simplify]: Simplify x into x
12.687 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.687 * [taylor]: Taking taylor expansion of y in y
12.687 * [backup-simplify]: Simplify 0 into 0
12.687 * [backup-simplify]: Simplify 1 into 1
12.688 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.688 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.688 * [backup-simplify]: Simplify (* (pow x 2) (pow x 2)) into (pow x 4)
12.688 * [backup-simplify]: Simplify (* (pow x 4) (pow x 4)) into (pow x 8)
12.688 * [backup-simplify]: Simplify (* (pow x 2) (pow x 8)) into (pow x 10)
12.689 * [backup-simplify]: Simplify (/ 1 (pow x 10)) into (/ 1 (pow x 10))
12.689 * [backup-simplify]: Simplify (log (/ 1 (pow x 10))) into (log (/ 1 (pow x 10)))
12.689 * [backup-simplify]: Simplify (* 1/6 (log (/ 1 (pow x 10)))) into (* 1/6 (log (/ 1 (pow x 10))))
12.689 * [backup-simplify]: Simplify (exp (* 1/6 (log (/ 1 (pow x 10))))) into (pow (/ 1 (pow x 10)) 1/6)
12.689 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow x 10)) 1/6)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
12.689 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) in x
12.689 * [taylor]: Taking taylor expansion of 1/6 in x
12.690 * [backup-simplify]: Simplify 1/6 into 1/6
12.690 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 5)) 1/3) in x
12.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 5))))) in x
12.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 5)))) in x
12.690 * [taylor]: Taking taylor expansion of 1/3 in x
12.690 * [backup-simplify]: Simplify 1/3 into 1/3
12.690 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 5))) in x
12.690 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x
12.690 * [taylor]: Taking taylor expansion of (pow x 5) in x
12.690 * [taylor]: Taking taylor expansion of x in x
12.690 * [backup-simplify]: Simplify 0 into 0
12.690 * [backup-simplify]: Simplify 1 into 1
12.690 * [backup-simplify]: Simplify (* 1 1) into 1
12.691 * [backup-simplify]: Simplify (* 1 1) into 1
12.691 * [backup-simplify]: Simplify (* 1 1) into 1
12.692 * [backup-simplify]: Simplify (/ 1 1) into 1
12.692 * [backup-simplify]: Simplify (log 1) into 0
12.692 * [backup-simplify]: Simplify (+ (* (- 5) (log x)) 0) into (- (* 5 (log x)))
12.692 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log x)))) into (* -5/3 (log x))
12.693 * [backup-simplify]: Simplify (exp (* -5/3 (log x))) into (pow x -5/3)
12.693 * [backup-simplify]: Simplify (* 1/6 (pow x -5/3)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
12.693 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
12.693 * [taylor]: Taking taylor expansion of 0 in x
12.693 * [backup-simplify]: Simplify 0 into 0
12.693 * [backup-simplify]: Simplify 0 into 0
12.694 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0
12.694 * [backup-simplify]: Simplify (* 1 1) into 1
12.695 * [backup-simplify]: Simplify (+ 0 1) into 1
12.696 * [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))
12.697 * [backup-simplify]: Simplify (+ (* 1/6 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 (log (pow x 2))))) into (* 1/6 (/ 1 (pow x 2)))
12.698 * [backup-simplify]: Simplify (* (exp (* 1/6 (log (pow x 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow x 2))) 1) 1)))) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
12.698 * [taylor]: Taking taylor expansion of (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) in x
12.698 * [taylor]: Taking taylor expansion of 1/6 in x
12.698 * [backup-simplify]: Simplify 1/6 into 1/6
12.698 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow x 5)) 1/3) in x
12.698 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 (pow x 5))))) in x
12.698 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 (pow x 5)))) in x
12.698 * [taylor]: Taking taylor expansion of 1/3 in x
12.699 * [backup-simplify]: Simplify 1/3 into 1/3
12.699 * [taylor]: Taking taylor expansion of (log (/ 1 (pow x 5))) in x
12.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 5)) in x
12.699 * [taylor]: Taking taylor expansion of (pow x 5) in x
12.699 * [taylor]: Taking taylor expansion of x in x
12.699 * [backup-simplify]: Simplify 0 into 0
12.699 * [backup-simplify]: Simplify 1 into 1
12.699 * [backup-simplify]: Simplify (* 1 1) into 1
12.699 * [backup-simplify]: Simplify (* 1 1) into 1
12.700 * [backup-simplify]: Simplify (* 1 1) into 1
12.700 * [backup-simplify]: Simplify (/ 1 1) into 1
12.701 * [backup-simplify]: Simplify (log 1) into 0
12.701 * [backup-simplify]: Simplify (+ (* (- 5) (log x)) 0) into (- (* 5 (log x)))
12.701 * [backup-simplify]: Simplify (* 1/3 (- (* 5 (log x)))) into (* -5/3 (log x))
12.701 * [backup-simplify]: Simplify (exp (* -5/3 (log x))) into (pow x -5/3)
12.701 * [backup-simplify]: Simplify (* 1/6 (pow x -5/3)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
12.701 * [backup-simplify]: Simplify (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) into (* 1/6 (pow (/ 1 (pow x 5)) 1/3))
12.702 * [backup-simplify]: Simplify (+ (* (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) (pow (* 1 (* y 1)) 2)) (+ (* (* 1/6 (pow (/ 1 (pow x 5)) 1/3)) (pow (* 1 (* 1 z)) 2)) (pow x 1/3))) into (+ (pow x 1/3) (+ (* 1/6 (* (pow (/ 1 (pow x 5)) 1/3) (pow y 2))) (* 1/6 (* (pow (/ 1 (pow x 5)) 1/3) (pow z 2)))))
12.703 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* (/ 1 z) (/ 1 z)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x)))))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6)
12.703 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in (z y x) around 0
12.703 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
12.703 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
12.703 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
12.703 * [taylor]: Taking taylor expansion of 1/6 in x
12.703 * [backup-simplify]: Simplify 1/6 into 1/6
12.703 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.703 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.703 * [taylor]: Taking taylor expansion of x in x
12.703 * [backup-simplify]: Simplify 0 into 0
12.703 * [backup-simplify]: Simplify 1 into 1
12.703 * [backup-simplify]: Simplify (* 1 1) into 1
12.703 * [backup-simplify]: Simplify (/ 1 1) into 1
12.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.703 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.704 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.704 * [taylor]: Taking taylor expansion of z in x
12.704 * [backup-simplify]: Simplify z into z
12.704 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.704 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.704 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.704 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.704 * [taylor]: Taking taylor expansion of y in x
12.704 * [backup-simplify]: Simplify y into y
12.704 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.704 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.704 * [backup-simplify]: Simplify (+ 1 0) into 1
12.704 * [backup-simplify]: Simplify (log 1) into 0
12.705 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.705 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
12.705 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
12.705 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in y
12.705 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
12.705 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
12.705 * [taylor]: Taking taylor expansion of 1/6 in y
12.705 * [backup-simplify]: Simplify 1/6 into 1/6
12.705 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.705 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.705 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.705 * [taylor]: Taking taylor expansion of x in y
12.705 * [backup-simplify]: Simplify x into x
12.705 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.705 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.705 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.705 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.705 * [taylor]: Taking taylor expansion of z in y
12.705 * [backup-simplify]: Simplify z into z
12.705 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.706 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.706 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.706 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.706 * [taylor]: Taking taylor expansion of y in y
12.706 * [backup-simplify]: Simplify 0 into 0
12.706 * [backup-simplify]: Simplify 1 into 1
12.706 * [backup-simplify]: Simplify (* 1 1) into 1
12.706 * [backup-simplify]: Simplify (/ 1 1) into 1
12.706 * [backup-simplify]: Simplify (+ 0 1) into 1
12.707 * [backup-simplify]: Simplify (+ 0 1) into 1
12.707 * [backup-simplify]: Simplify (log 1) into 0
12.707 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
12.707 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
12.708 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
12.708 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
12.708 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
12.708 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
12.708 * [taylor]: Taking taylor expansion of 1/6 in z
12.708 * [backup-simplify]: Simplify 1/6 into 1/6
12.708 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.708 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.708 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.708 * [taylor]: Taking taylor expansion of x in z
12.708 * [backup-simplify]: Simplify x into x
12.708 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.708 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.708 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.708 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.708 * [taylor]: Taking taylor expansion of z in z
12.708 * [backup-simplify]: Simplify 0 into 0
12.708 * [backup-simplify]: Simplify 1 into 1
12.708 * [backup-simplify]: Simplify (* 1 1) into 1
12.708 * [backup-simplify]: Simplify (/ 1 1) into 1
12.709 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.709 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.709 * [taylor]: Taking taylor expansion of y in z
12.709 * [backup-simplify]: Simplify y into y
12.709 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.709 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.709 * [backup-simplify]: Simplify (+ 1 0) into 1
12.709 * [backup-simplify]: Simplify (+ 0 1) into 1
12.710 * [backup-simplify]: Simplify (log 1) into 0
12.710 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.710 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
12.710 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
12.710 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
12.710 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
12.710 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
12.710 * [taylor]: Taking taylor expansion of 1/6 in z
12.710 * [backup-simplify]: Simplify 1/6 into 1/6
12.710 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.710 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.710 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.710 * [taylor]: Taking taylor expansion of x in z
12.710 * [backup-simplify]: Simplify x into x
12.710 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.710 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.710 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.710 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.710 * [taylor]: Taking taylor expansion of z in z
12.710 * [backup-simplify]: Simplify 0 into 0
12.710 * [backup-simplify]: Simplify 1 into 1
12.711 * [backup-simplify]: Simplify (* 1 1) into 1
12.711 * [backup-simplify]: Simplify (/ 1 1) into 1
12.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.711 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.711 * [taylor]: Taking taylor expansion of y in z
12.711 * [backup-simplify]: Simplify y into y
12.711 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.711 * [backup-simplify]: Simplify (+ 1 0) into 1
12.712 * [backup-simplify]: Simplify (+ 0 1) into 1
12.712 * [backup-simplify]: Simplify (log 1) into 0
12.712 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.713 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
12.713 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
12.713 * [taylor]: Taking taylor expansion of (pow z -1/3) in y
12.713 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in y
12.713 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in y
12.713 * [taylor]: Taking taylor expansion of -1/3 in y
12.713 * [backup-simplify]: Simplify -1/3 into -1/3
12.713 * [taylor]: Taking taylor expansion of (log z) in y
12.713 * [taylor]: Taking taylor expansion of z in y
12.713 * [backup-simplify]: Simplify z into z
12.713 * [backup-simplify]: Simplify (log z) into (log z)
12.713 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
12.713 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
12.713 * [taylor]: Taking taylor expansion of (pow z -1/3) in x
12.713 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in x
12.713 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in x
12.713 * [taylor]: Taking taylor expansion of -1/3 in x
12.713 * [backup-simplify]: Simplify -1/3 into -1/3
12.713 * [taylor]: Taking taylor expansion of (log z) in x
12.713 * [taylor]: Taking taylor expansion of z in x
12.713 * [backup-simplify]: Simplify z into z
12.713 * [backup-simplify]: Simplify (log z) into (log z)
12.713 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
12.713 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
12.713 * [backup-simplify]: Simplify (pow z -1/3) into (pow z -1/3)
12.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.714 * [backup-simplify]: Simplify (+ 0 0) into 0
12.715 * [backup-simplify]: Simplify (+ 0 0) into 0
12.715 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.716 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.716 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log z))))) into 0
12.717 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
12.717 * [taylor]: Taking taylor expansion of 0 in y
12.717 * [backup-simplify]: Simplify 0 into 0
12.717 * [taylor]: Taking taylor expansion of 0 in x
12.717 * [backup-simplify]: Simplify 0 into 0
12.717 * [backup-simplify]: Simplify 0 into 0
12.717 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
12.718 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
12.718 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
12.718 * [taylor]: Taking taylor expansion of 0 in x
12.718 * [backup-simplify]: Simplify 0 into 0
12.718 * [backup-simplify]: Simplify 0 into 0
12.719 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
12.719 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
12.720 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
12.720 * [backup-simplify]: Simplify 0 into 0
12.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.721 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
12.721 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
12.723 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))
12.723 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.723 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log z)))))) into (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2))))
12.724 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3))
12.724 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3)) in y
12.724 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) in y
12.724 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in y
12.724 * [taylor]: Taking taylor expansion of 1/6 in y
12.724 * [backup-simplify]: Simplify 1/6 into 1/6
12.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.724 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.724 * [taylor]: Taking taylor expansion of x in y
12.724 * [backup-simplify]: Simplify x into x
12.725 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.725 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.725 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y
12.725 * [taylor]: Taking taylor expansion of 1/6 in y
12.725 * [backup-simplify]: Simplify 1/6 into 1/6
12.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.725 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.725 * [taylor]: Taking taylor expansion of y in y
12.725 * [backup-simplify]: Simplify 0 into 0
12.725 * [backup-simplify]: Simplify 1 into 1
12.725 * [backup-simplify]: Simplify (* 1 1) into 1
12.725 * [backup-simplify]: Simplify (/ 1 1) into 1
12.725 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in y
12.725 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in y
12.725 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in y
12.725 * [taylor]: Taking taylor expansion of 1/3 in y
12.725 * [backup-simplify]: Simplify 1/3 into 1/3
12.725 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in y
12.725 * [taylor]: Taking taylor expansion of (/ 1 z) in y
12.725 * [taylor]: Taking taylor expansion of z in y
12.725 * [backup-simplify]: Simplify z into z
12.725 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
12.726 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
12.726 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
12.726 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
12.726 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
12.726 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
12.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
12.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
12.727 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
12.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
12.728 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
12.729 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
12.730 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.732 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
12.733 * [backup-simplify]: Simplify (+ 0 0) into 0
12.734 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.734 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow x 2))) into (/ 1/6 (pow x 2))
12.735 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.737 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
12.737 * [backup-simplify]: Simplify (+ (/ 1/6 (pow x 2)) 0) into (* 1/6 (/ 1 (pow x 2)))
12.739 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* (* 1/6 (/ 1 (pow x 2))) (pow (/ 1 z) 1/3)))) into (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3)))
12.739 * [taylor]: Taking taylor expansion of (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3))) in x
12.739 * [taylor]: Taking taylor expansion of 1/6 in x
12.739 * [backup-simplify]: Simplify 1/6 into 1/6
12.739 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3)) in x
12.739 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.739 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.739 * [taylor]: Taking taylor expansion of x in x
12.739 * [backup-simplify]: Simplify 0 into 0
12.739 * [backup-simplify]: Simplify 1 into 1
12.739 * [backup-simplify]: Simplify (* 1 1) into 1
12.740 * [backup-simplify]: Simplify (/ 1 1) into 1
12.740 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in x
12.740 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in x
12.740 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in x
12.740 * [taylor]: Taking taylor expansion of 1/3 in x
12.740 * [backup-simplify]: Simplify 1/3 into 1/3
12.740 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in x
12.740 * [taylor]: Taking taylor expansion of (/ 1 z) in x
12.740 * [taylor]: Taking taylor expansion of z in x
12.740 * [backup-simplify]: Simplify z into z
12.740 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
12.740 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
12.740 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
12.740 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
12.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
12.741 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
12.742 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
12.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
12.744 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
12.745 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
12.746 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.749 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
12.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 z) 1/3))) into 0
12.752 * [backup-simplify]: Simplify (* 1 (pow (/ 1 z) 1/3)) into (pow (/ 1 z) 1/3)
12.753 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
12.753 * [backup-simplify]: Simplify 0 into 0
12.753 * [taylor]: Taking taylor expansion of 0 in x
12.753 * [backup-simplify]: Simplify 0 into 0
12.753 * [backup-simplify]: Simplify 0 into 0
12.755 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow z 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow z 1)))) 2) into 0
12.756 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log z)))) into 0
12.758 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.758 * [taylor]: Taking taylor expansion of 0 in x
12.758 * [backup-simplify]: Simplify 0 into 0
12.758 * [backup-simplify]: Simplify 0 into 0
12.758 * [backup-simplify]: Simplify (pow (/ 1 z) -1/3) into (pow (/ 1 z) -1/3)
12.759 * [backup-simplify]: Simplify (exp (log (cbrt (sqrt (+ (* (/ 1 (- z)) (/ 1 (- z))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x))))))))) into (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6)
12.759 * [approximate]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in (z y x) around 0
12.759 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in x
12.759 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in x
12.759 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in x
12.759 * [taylor]: Taking taylor expansion of 1/6 in x
12.759 * [backup-simplify]: Simplify 1/6 into 1/6
12.759 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
12.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
12.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.759 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.759 * [taylor]: Taking taylor expansion of x in x
12.759 * [backup-simplify]: Simplify 0 into 0
12.759 * [backup-simplify]: Simplify 1 into 1
12.760 * [backup-simplify]: Simplify (* 1 1) into 1
12.760 * [backup-simplify]: Simplify (/ 1 1) into 1
12.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
12.760 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.760 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.760 * [taylor]: Taking taylor expansion of z in x
12.760 * [backup-simplify]: Simplify z into z
12.760 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.760 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.760 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.760 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.760 * [taylor]: Taking taylor expansion of y in x
12.760 * [backup-simplify]: Simplify y into y
12.761 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.761 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.761 * [backup-simplify]: Simplify (+ 1 0) into 1
12.762 * [backup-simplify]: Simplify (log 1) into 0
12.766 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.767 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log x)))) into (* -1/3 (log x))
12.767 * [backup-simplify]: Simplify (exp (* -1/3 (log x))) into (pow x -1/3)
12.767 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in y
12.767 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in y
12.767 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in y
12.767 * [taylor]: Taking taylor expansion of 1/6 in y
12.767 * [backup-simplify]: Simplify 1/6 into 1/6
12.767 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
12.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
12.767 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.767 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.767 * [taylor]: Taking taylor expansion of x in y
12.767 * [backup-simplify]: Simplify x into x
12.767 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.767 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.767 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
12.767 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.767 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.768 * [taylor]: Taking taylor expansion of z in y
12.768 * [backup-simplify]: Simplify z into z
12.768 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.768 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.768 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.768 * [taylor]: Taking taylor expansion of y in y
12.768 * [backup-simplify]: Simplify 0 into 0
12.768 * [backup-simplify]: Simplify 1 into 1
12.769 * [backup-simplify]: Simplify (* 1 1) into 1
12.769 * [backup-simplify]: Simplify (/ 1 1) into 1
12.769 * [backup-simplify]: Simplify (+ 0 1) into 1
12.769 * [backup-simplify]: Simplify (+ 0 1) into 1
12.770 * [backup-simplify]: Simplify (log 1) into 0
12.770 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
12.770 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log y)))) into (* -1/3 (log y))
12.770 * [backup-simplify]: Simplify (exp (* -1/3 (log y))) into (pow y -1/3)
12.770 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
12.770 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
12.770 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
12.770 * [taylor]: Taking taylor expansion of 1/6 in z
12.770 * [backup-simplify]: Simplify 1/6 into 1/6
12.770 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.770 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.770 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.770 * [taylor]: Taking taylor expansion of x in z
12.770 * [backup-simplify]: Simplify x into x
12.770 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.770 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.771 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.771 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.771 * [taylor]: Taking taylor expansion of z in z
12.771 * [backup-simplify]: Simplify 0 into 0
12.771 * [backup-simplify]: Simplify 1 into 1
12.771 * [backup-simplify]: Simplify (* 1 1) into 1
12.771 * [backup-simplify]: Simplify (/ 1 1) into 1
12.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.771 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.771 * [taylor]: Taking taylor expansion of y in z
12.771 * [backup-simplify]: Simplify y into y
12.771 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.771 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.772 * [backup-simplify]: Simplify (+ 1 0) into 1
12.772 * [backup-simplify]: Simplify (+ 0 1) into 1
12.772 * [backup-simplify]: Simplify (log 1) into 0
12.772 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.772 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
12.773 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
12.773 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 1/6) in z
12.773 * [taylor]: Taking taylor expansion of (exp (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))))) in z
12.773 * [taylor]: Taking taylor expansion of (* 1/6 (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))) in z
12.773 * [taylor]: Taking taylor expansion of 1/6 in z
12.773 * [backup-simplify]: Simplify 1/6 into 1/6
12.773 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
12.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
12.773 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.773 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.773 * [taylor]: Taking taylor expansion of x in z
12.773 * [backup-simplify]: Simplify x into x
12.773 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.773 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
12.773 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.773 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.773 * [taylor]: Taking taylor expansion of z in z
12.773 * [backup-simplify]: Simplify 0 into 0
12.773 * [backup-simplify]: Simplify 1 into 1
12.773 * [backup-simplify]: Simplify (* 1 1) into 1
12.774 * [backup-simplify]: Simplify (/ 1 1) into 1
12.774 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.774 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.774 * [taylor]: Taking taylor expansion of y in z
12.774 * [backup-simplify]: Simplify y into y
12.774 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.774 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.774 * [backup-simplify]: Simplify (+ 1 0) into 1
12.774 * [backup-simplify]: Simplify (+ 0 1) into 1
12.775 * [backup-simplify]: Simplify (log 1) into 0
12.775 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.775 * [backup-simplify]: Simplify (* 1/6 (- (* 2 (log z)))) into (* -1/3 (log z))
12.775 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
12.775 * [taylor]: Taking taylor expansion of (pow z -1/3) in y
12.775 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in y
12.775 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in y
12.775 * [taylor]: Taking taylor expansion of -1/3 in y
12.775 * [backup-simplify]: Simplify -1/3 into -1/3
12.775 * [taylor]: Taking taylor expansion of (log z) in y
12.775 * [taylor]: Taking taylor expansion of z in y
12.775 * [backup-simplify]: Simplify z into z
12.775 * [backup-simplify]: Simplify (log z) into (log z)
12.775 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
12.775 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
12.775 * [taylor]: Taking taylor expansion of (pow z -1/3) in x
12.775 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log z))) in x
12.775 * [taylor]: Taking taylor expansion of (* -1/3 (log z)) in x
12.775 * [taylor]: Taking taylor expansion of -1/3 in x
12.775 * [backup-simplify]: Simplify -1/3 into -1/3
12.775 * [taylor]: Taking taylor expansion of (log z) in x
12.775 * [taylor]: Taking taylor expansion of z in x
12.775 * [backup-simplify]: Simplify z into z
12.776 * [backup-simplify]: Simplify (log z) into (log z)
12.776 * [backup-simplify]: Simplify (* -1/3 (log z)) into (* -1/3 (log z))
12.776 * [backup-simplify]: Simplify (exp (* -1/3 (log z))) into (pow z -1/3)
12.776 * [backup-simplify]: Simplify (pow z -1/3) into (pow z -1/3)
12.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.777 * [backup-simplify]: Simplify (+ 0 0) into 0
12.777 * [backup-simplify]: Simplify (+ 0 0) into 0
12.778 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.778 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.779 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 (- (* 2 (log z))))) into 0
12.779 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
12.779 * [taylor]: Taking taylor expansion of 0 in y
12.779 * [backup-simplify]: Simplify 0 into 0
12.779 * [taylor]: Taking taylor expansion of 0 in x
12.779 * [backup-simplify]: Simplify 0 into 0
12.779 * [backup-simplify]: Simplify 0 into 0
12.780 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
12.780 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
12.781 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
12.781 * [taylor]: Taking taylor expansion of 0 in x
12.781 * [backup-simplify]: Simplify 0 into 0
12.781 * [backup-simplify]: Simplify 0 into 0
12.781 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow z 1)))) 1) into 0
12.782 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log z))) into 0
12.782 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
12.782 * [backup-simplify]: Simplify 0 into 0
12.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.783 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
12.783 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
12.785 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))
12.785 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.786 * [backup-simplify]: Simplify (+ (* 1/6 (* 1/2 (+ (* 2 (/ 1 (pow x 2))) (* 2 (/ 1 (pow y 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log z)))))) into (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2))))
12.787 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) 1) 1)))) into (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3))
12.787 * [taylor]: Taking taylor expansion of (* (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) (pow (/ 1 z) 1/3)) in y
12.787 * [taylor]: Taking taylor expansion of (+ (* 1/6 (/ 1 (pow x 2))) (* 1/6 (/ 1 (pow y 2)))) in y
12.787 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow x 2))) in y
12.787 * [taylor]: Taking taylor expansion of 1/6 in y
12.787 * [backup-simplify]: Simplify 1/6 into 1/6
12.787 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.787 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.787 * [taylor]: Taking taylor expansion of x in y
12.787 * [backup-simplify]: Simplify x into x
12.787 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.787 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.787 * [taylor]: Taking taylor expansion of (* 1/6 (/ 1 (pow y 2))) in y
12.787 * [taylor]: Taking taylor expansion of 1/6 in y
12.787 * [backup-simplify]: Simplify 1/6 into 1/6
12.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.787 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.787 * [taylor]: Taking taylor expansion of y in y
12.787 * [backup-simplify]: Simplify 0 into 0
12.787 * [backup-simplify]: Simplify 1 into 1
12.787 * [backup-simplify]: Simplify (* 1 1) into 1
12.788 * [backup-simplify]: Simplify (/ 1 1) into 1
12.788 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in y
12.788 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in y
12.788 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in y
12.788 * [taylor]: Taking taylor expansion of 1/3 in y
12.788 * [backup-simplify]: Simplify 1/3 into 1/3
12.788 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in y
12.788 * [taylor]: Taking taylor expansion of (/ 1 z) in y
12.788 * [taylor]: Taking taylor expansion of z in y
12.788 * [backup-simplify]: Simplify z into z
12.788 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
12.788 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
12.788 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
12.788 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
12.788 * [backup-simplify]: Simplify (* 1/6 1) into 1/6
12.789 * [backup-simplify]: Simplify (+ 0 1/6) into 1/6
12.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
12.790 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
12.791 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
12.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
12.793 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
12.794 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
12.795 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.797 * [backup-simplify]: Simplify (+ (* 1/6 0) (* 0 1)) into 0
12.797 * [backup-simplify]: Simplify (+ 0 0) into 0
12.798 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.798 * [backup-simplify]: Simplify (* 1/6 (/ 1 (pow x 2))) into (/ 1/6 (pow x 2))
12.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.800 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 1))) into 0
12.800 * [backup-simplify]: Simplify (+ (/ 1/6 (pow x 2)) 0) into (* 1/6 (/ 1 (pow x 2)))
12.801 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* (* 1/6 (/ 1 (pow x 2))) (pow (/ 1 z) 1/3)))) into (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3)))
12.801 * [taylor]: Taking taylor expansion of (* 1/6 (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3))) in x
12.801 * [taylor]: Taking taylor expansion of 1/6 in x
12.801 * [backup-simplify]: Simplify 1/6 into 1/6
12.801 * [taylor]: Taking taylor expansion of (* (/ 1 (pow x 2)) (pow (/ 1 z) 1/3)) in x
12.801 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.801 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.801 * [taylor]: Taking taylor expansion of x in x
12.801 * [backup-simplify]: Simplify 0 into 0
12.801 * [backup-simplify]: Simplify 1 into 1
12.801 * [backup-simplify]: Simplify (* 1 1) into 1
12.801 * [backup-simplify]: Simplify (/ 1 1) into 1
12.801 * [taylor]: Taking taylor expansion of (pow (/ 1 z) 1/3) in x
12.802 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 z)))) in x
12.802 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 z))) in x
12.802 * [taylor]: Taking taylor expansion of 1/3 in x
12.802 * [backup-simplify]: Simplify 1/3 into 1/3
12.802 * [taylor]: Taking taylor expansion of (log (/ 1 z)) in x
12.802 * [taylor]: Taking taylor expansion of (/ 1 z) in x
12.802 * [taylor]: Taking taylor expansion of z in x
12.802 * [backup-simplify]: Simplify z into z
12.802 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
12.802 * [backup-simplify]: Simplify (log (/ 1 z)) into (log (/ 1 z))
12.802 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 z))) into (* 1/3 (log (/ 1 z)))
12.802 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 z)))) into (pow (/ 1 z) 1/3)
12.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
12.803 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 z) 1)))) 1) into 0
12.803 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 z)))) into 0
12.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
12.804 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 z) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 z) 1)))) 2) into 0
12.805 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 z))))) into 0
12.806 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.807 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 z)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
12.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 z) 1/3))) into 0
12.809 * [backup-simplify]: Simplify (* 1 (pow (/ 1 z) 1/3)) into (pow (/ 1 z) 1/3)
12.810 * [backup-simplify]: Simplify (+ (* 1/6 0) (+ (* 0 0) (* 0 (pow (/ 1 z) 1/3)))) into 0
12.810 * [backup-simplify]: Simplify 0 into 0
12.810 * [taylor]: Taking taylor expansion of 0 in x
12.810 * [backup-simplify]: Simplify 0 into 0
12.810 * [backup-simplify]: Simplify 0 into 0
12.811 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow z 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow z 1)))) 2) into 0
12.811 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log z)))) into 0
12.812 * [backup-simplify]: Simplify (* (exp (* -1/3 (log z))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.812 * [taylor]: Taking taylor expansion of 0 in x
12.812 * [backup-simplify]: Simplify 0 into 0
12.812 * [backup-simplify]: Simplify 0 into 0
12.812 * [backup-simplify]: Simplify (pow (/ 1 (- z)) -1/3) into (pow (/ -1 z) -1/3)
12.813 * * * [progress]: simplifying candidates
12.814 * [simplify]: Simplifying:
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (* (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt (+ (* z z) (+ (* y y) (* x x))))) (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (* (cbrt (+ (* z z) (+ (* y y) (* x x)))) (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt 1)
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (* z z) 3) (pow (+ (* y y) (* x x)) 3)))
  (sqrt (+ (* (* z z) (* z z)) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (+ (* y y) (* x x))))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  (/ 1 2)
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (* (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt (+ (* z z) (+ (* y y) (* x x))))) (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (* (cbrt (+ (* z z) (+ (* y y) (* x x)))) (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt 1)
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (* z z) 3) (pow (+ (* y y) (* x x)) 3)))
  (sqrt (+ (* (* z z) (* z z)) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (+ (* y y) (* x x))))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  (/ 1 2)
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (* (* (sqrt (+ (* z z) (+ (* y y) (* x x)))) (sqrt (+ (* z z) (+ (* y y) (* x x))))) (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (* (cbrt (+ (* z z) (+ (* y y) (* x x)))) (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt 1)
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (* z z) 3) (pow (+ (* y y) (* x x)) 3)))
  (sqrt (+ (* (* z z) (* z z)) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (+ (* y y) (* x x))))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  (/ 1 2)
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp 1/3)
  (exp 1)
  (exp (* (cbrt (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))) (cbrt (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))
  (exp (sqrt (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp 1)
  (exp (log (cbrt (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))
  (exp (log (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log (cbrt (sqrt (* (cbrt (+ (* z z) (+ (* y y) (* x x)))) (cbrt (+ (* z z) (+ (* y y) (* x x)))))))))
  (exp (log (cbrt (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log (cbrt (sqrt 1))))
  (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))
  (exp (log (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log (cbrt 1)))
  (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))
  (exp (log (* (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))) (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))
  (exp (log (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (log 1))
  (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))
  (exp (log (cbrt (sqrt (+ (pow (* z z) 3) (pow (+ (* y y) (* x x)) 3))))))
  (exp (log (cbrt (sqrt (+ (* (* z z) (* z z)) (- (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (* z z) (+ (* y y) (* x x)))))))))
  (exp (log (cbrt (sqrt (- (* (* z z) (* z z)) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))))
  (exp (log (cbrt (sqrt (- (* z z) (+ (* y y) (* x x)))))))
  (log (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (exp (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (* (cbrt (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))) (cbrt (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))
  (cbrt (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (* (* (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (sqrt (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  (sqrt (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  x
  z
  (* -1 z)
  x
  z
  (* -1 z)
  x
  z
  (* -1 z)
  (+ (pow x 1/3) (+ (* 1/6 (* (pow (/ 1 (pow x 5)) 1/3) (pow y 2))) (* 1/6 (* (pow (/ 1 (pow x 5)) 1/3) (pow z 2)))))
  (pow (/ 1 z) -1/3)
  (pow (/ -1 z) -1/3)
12.816 * * [simplify]: Extracting # 0 : cost  0
12.816 * * [simplify]: Extracting # 1 : cost  0
12.816 * * [simplify]: Extracting # 2 : cost  0
12.816 * * [simplify]: Extracting # 3 : cost  0
12.816 * * [simplify]: Extracting # 4 : cost  0
12.816 * * [simplify]: Extracting # 5 : cost  0
12.817 * * [simplify]: Extracting # 6 : cost  0
12.817 * * [simplify]: Extracting # 7 : cost  0
12.817 * * [simplify]: Extracting # 8 : cost  0
12.817 * * [simplify]: Extracting # 9 : cost  0
12.817 * * [simplify]: Extracting # 10 : cost  0
12.817 * * [simplify]: Extracting # 11 : cost  0
12.817 * * [simplify]: Extracting # 12 : cost  0
12.818 * * [simplify]: iteration  0 :  118  enodes  (cost  1561 )
12.856 * * [simplify]: Extracting # 0 : cost  0
12.856 * * [simplify]: Extracting # 1 : cost  0
12.857 * * [simplify]: Extracting # 2 : cost  0
12.857 * * [simplify]: Extracting # 3 : cost  0
12.858 * * [simplify]: Extracting # 4 : cost  0
12.858 * * [simplify]: iteration  1 :  217  enodes  (cost  1349 )
12.930 * * [simplify]: Extracting # 0 : cost  0
12.931 * * [simplify]: Extracting # 1 : cost  0
12.931 * * [simplify]: Extracting # 2 : cost  0
12.932 * * [simplify]: Extracting # 3 : cost  0
12.932 * * [simplify]: Extracting # 4 : cost  0
12.933 * * [simplify]: Extracting # 5 : cost  0
12.933 * * [simplify]: iteration  2 :  521  enodes  (cost  1184 )
13.173 * * [simplify]: Extracting # 0 : cost  0
13.176 * * [simplify]: Extracting # 1 : cost  0
13.179 * * [simplify]: Extracting # 2 : cost  0
13.181 * * [simplify]: Extracting # 3 : cost  0
13.184 * * [simplify]: Extracting # 4 : cost  0
13.187 * * [simplify]: iteration  3 :  1417  enodes  (cost  1181 )
14.478 * * [simplify]: Extracting # 0 : cost  0
14.484 * * [simplify]: Extracting # 1 : cost  0
14.489 * * [simplify]: Extracting # 2 : cost  0
14.493 * * [simplify]: Extracting # 3 : cost  0
14.502 * * [simplify]: Extracting # 4 : cost  0
14.510 * * [simplify]: iteration  4 :  4553  enodes  (cost  1169 )
16.162 * * [simplify]: Extracting # 0 : cost  0
16.173 * * [simplify]: Extracting # 1 : cost  0
16.183 * * [simplify]: Extracting # 2 : cost  0
16.193 * * [simplify]: Extracting # 3 : cost  0
16.203 * * [simplify]: iteration done:  5001  enodes  (cost  1169 )
16.204 * [simplify]: Simplified to:
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) 2)
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (sqrt (+ (* z z) (+ (* y y) (* x x)))) 3)
  (fabs (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  1
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (+ (* y y) (* x x)) 3) (pow z 6)))
  (sqrt (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (pow z 4)))
  (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  1/2
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) 2)
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (sqrt (+ (* z z) (+ (* y y) (* x x)))) 3)
  (fabs (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  1
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (+ (* y y) (* x x)) 3) (pow z 6)))
  (sqrt (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (pow z 4)))
  (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  1/2
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (log (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) 2)
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (sqrt (+ (* z z) (+ (* y y) (* x x)))) 3)
  (fabs (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  1
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (+ (pow (+ (* y y) (* x x)) 3) (pow z 6)))
  (sqrt (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (pow z 4)))
  (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (+ (* y y) (* x x)))))
  (sqrt (- (* z z) (+ (* y y) (* x x))))
  1/2
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (exp 1/3)
  E
  (exp (* (cbrt (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))) (cbrt (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))
  (exp (sqrt (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))))
  E
  (cbrt (pow (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) 2))
  (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (fabs (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (cbrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  1
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (cbrt (sqrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  1
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (pow (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))) 2)
  (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  1
  (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))
  (cbrt (sqrt (+ (pow (+ (* y y) (* x x)) 3) (pow z 6))))
  (cbrt (sqrt (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (pow z 4))))
  (cbrt (sqrt (- (pow z 4) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))))))
  (cbrt (sqrt (- (* z z) (+ (* y y) (* x x)))))
  (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (exp (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (pow (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))) 2)
  (cbrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (+ (* z z) (+ (* y y) (* x x))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  (sqrt (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))))
  x
  z
  (- z)
  x
  z
  (- z)
  x
  z
  (- z)
  (+ (cbrt x) (* (* (cbrt (/ 1 (pow x 5))) (+ (* z z) (* y y))) 1/6))
  (pow (/ 1 z) -1/3)
  (pow (/ -1 z) -1/3)
16.205 * * * [progress]: adding candidates to table
16.643 * [progress]: [Phase 3 of 3] Extracting.
16.643 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.645 * * * [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)
16.645 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.697 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.722 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.769 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.814 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.835 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.881 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.902 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.946 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
16.980 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
17.039 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
17.108 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
17.175 * * * [regime]: Found split indices: #<option (#s(si 2 44) #s(si 5 213) #s(si 4 255))>
17.176 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
17.237 * [regimes]: Found splitpoints: (#s(sp 2 x -4.839580010133739e+89) #s(sp 5 x 1.537188568549187e+101) #s(sp 4 x +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (+ (* (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))) (cbrt (+ (* x x) (* y y)))) (* z z))))> #<alt (λ (x y z) z)> #<alt (λ (x y z) (- x))> #<alt (λ (x y z) (* (* (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x))))) (cbrt (- z))) (exp (log (cbrt (sqrt (+ (* z z) (+ (* y y) (* x x)))))))))> #<alt (λ (x y z) x)> #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>)
17.238 * [simplify]: Simplifying:
  (if (<= x -4.839580010133739e+89) (- x) (if (<= x 1.537188568549187e+101) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
17.238 * * [simplify]: Extracting # 0 : cost  0
17.238 * * [simplify]: Extracting # 1 : cost  0
17.238 * * [simplify]: Extracting # 2 : cost  0
17.238 * * [simplify]: Extracting # 3 : cost  0
17.238 * * [simplify]: Extracting # 4 : cost  0
17.238 * * [simplify]: Extracting # 5 : cost  0
17.238 * * [simplify]: Extracting # 6 : cost  0
17.238 * * [simplify]: Extracting # 7 : cost  0
17.238 * * [simplify]: Extracting # 8 : cost  0
17.238 * * [simplify]: Extracting # 9 : cost  0
17.238 * * [simplify]: Extracting # 10 : cost  0
17.239 * * [simplify]: iteration  0 :  16  enodes  (cost  23 )
17.240 * * [simplify]: Extracting # 0 : cost  0
17.240 * * [simplify]: iteration  1 :  18  enodes  (cost  23 )
17.241 * * [simplify]: Extracting # 0 : cost  0
17.241 * * [simplify]: iteration done:  18  enodes  (cost  23 )
17.241 * [simplify]: Simplified to:
  (if (<= x -4.839580010133739e+89) (- x) (if (<= x 1.537188568549187e+101) (sqrt (+ (+ (* x x) (* y y)) (* z z))) x))
18.813 * [regime-testing]: Baseline error score: 37.53841644464389
18.814 * [regime-testing]: Oracle error score: 17.863645474979283
18.816 * [regime-testing]: End program error score: 25.371537224741928
18.859 * [regime-testing]: Target error score: 25.32393180840348