51.134 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.036 * * * [progress]: [2/2] Setting up program.
0.041 * [progress]: [Phase 2 of 3] Improving.
0.041 * [simplify]: Simplifying:
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
0.041 * * [simplify]: Extracting # 0 : cost  0
0.041 * * [simplify]: Extracting # 1 : cost  0
0.041 * * [simplify]: Extracting # 2 : cost  0
0.042 * * [simplify]: Extracting # 3 : cost  0
0.042 * * [simplify]: Extracting # 4 : cost  0
0.042 * * [simplify]: Extracting # 5 : cost  0
0.042 * * [simplify]: Extracting # 6 : cost  0
0.042 * * [simplify]: iteration  0 :  9  enodes  (cost  12 )
0.044 * * [simplify]: Extracting # 0 : cost  0
0.044 * * [simplify]: Extracting # 1 : cost  0
0.044 * * [simplify]: Extracting # 2 : cost  0
0.044 * * [simplify]: iteration  1 :  14  enodes  (cost  11 )
0.048 * * [simplify]: Extracting # 0 : cost  0
0.048 * * [simplify]: Extracting # 1 : cost  0
0.048 * * [simplify]: Extracting # 2 : cost  0
0.048 * * [simplify]: iteration  2 :  24  enodes  (cost  10 )
0.054 * * [simplify]: Extracting # 0 : cost  0
0.054 * * [simplify]: Extracting # 1 : cost  0
0.054 * * [simplify]: iteration  3 :  31  enodes  (cost  10 )
0.060 * * [simplify]: Extracting # 0 : cost  0
0.060 * * [simplify]: iteration done:  31  enodes  (cost  10 )
0.060 * [simplify]: Simplified to:
  (sqrt (fma z z (fma x x (* y y))))
0.067 * * [progress]: iteration 1 / 4
0.067 * * * [progress]: picking best candidate
0.072 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))>
0.072 * * * [progress]: localizing error
0.093 * * * [progress]: generating rewritten candidates
0.093 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.154 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.204 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
0.219 * * * [progress]: generating series expansions
0.220 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.220 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2))))
0.220 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in (x y z) around 0
0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in z
0.220 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.220 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.220 * [taylor]: Taking taylor expansion of x in z
0.220 * [backup-simplify]: Simplify x into x
0.220 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.220 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.220 * [taylor]: Taking taylor expansion of y in z
0.220 * [backup-simplify]: Simplify y into y
0.220 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.220 * [taylor]: Taking taylor expansion of z in z
0.220 * [backup-simplify]: Simplify 0 into 0
0.220 * [backup-simplify]: Simplify 1 into 1
0.220 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.220 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.221 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2)
0.221 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
0.221 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
0.221 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.221 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.222 * [backup-simplify]: Simplify (+ 0 0) into 0
0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
0.223 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in y
0.223 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.223 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.223 * [taylor]: Taking taylor expansion of x in y
0.223 * [backup-simplify]: Simplify x into x
0.223 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.223 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.223 * [taylor]: Taking taylor expansion of y in y
0.223 * [backup-simplify]: Simplify 0 into 0
0.223 * [backup-simplify]: Simplify 1 into 1
0.223 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.223 * [taylor]: Taking taylor expansion of z in y
0.223 * [backup-simplify]: Simplify z into z
0.223 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.223 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.223 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.223 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.224 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.224 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.224 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) 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 (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.225 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.225 * [taylor]: Taking taylor expansion of x in x
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.225 * [taylor]: Taking taylor expansion of y in x
0.225 * [backup-simplify]: Simplify y into y
0.225 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.225 * [taylor]: Taking taylor expansion of z in x
0.225 * [backup-simplify]: Simplify z into z
0.225 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.225 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.225 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.226 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.226 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.226 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.226 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.226 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (+ (pow y 2) (pow z 2)))) in x
0.227 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.227 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.227 * [taylor]: Taking taylor expansion of x in x
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.227 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.227 * [taylor]: Taking taylor expansion of y in x
0.227 * [backup-simplify]: Simplify y into y
0.227 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.227 * [taylor]: Taking taylor expansion of z in x
0.227 * [backup-simplify]: Simplify z into z
0.227 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.228 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.228 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.229 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.229 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.229 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.229 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.229 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (+ 0 0) into 0
0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.230 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.230 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.230 * [taylor]: Taking taylor expansion of y in y
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 1 into 1
0.230 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.230 * [taylor]: Taking taylor expansion of z in y
0.230 * [backup-simplify]: Simplify z into z
0.230 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.231 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.231 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.231 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.231 * [backup-simplify]: Simplify (+ 0 0) into 0
0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.231 * [taylor]: Taking taylor expansion of z in z
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify 1 into 1
0.231 * [backup-simplify]: Simplify 0 into 0
0.231 * [taylor]: Taking taylor expansion of 0 in y
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [taylor]: Taking taylor expansion of 0 in z
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [taylor]: Taking taylor expansion of 0 in z
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 0 into 0
0.232 * [backup-simplify]: Simplify 1 into 1
0.232 * [backup-simplify]: Simplify (* 1 1) into 1
0.232 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.233 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (+ 1 0) into 1
0.235 * [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)))))
0.235 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
0.235 * [taylor]: Taking taylor expansion of 1/2 in y
0.235 * [backup-simplify]: Simplify 1/2 into 1/2
0.235 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.235 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.235 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.235 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.235 * [taylor]: Taking taylor expansion of y in y
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.235 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.235 * [taylor]: Taking taylor expansion of z in y
0.235 * [backup-simplify]: Simplify z into z
0.235 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.235 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.235 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.235 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.235 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.236 * [backup-simplify]: Simplify (+ 0 0) into 0
0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.236 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
0.236 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.236 * [taylor]: Taking taylor expansion of 1/2 in z
0.236 * [backup-simplify]: Simplify 1/2 into 1/2
0.236 * [taylor]: Taking taylor expansion of z in z
0.236 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify 1 into 1
0.237 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [taylor]: Taking taylor expansion of 0 in z
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify (* 1 1) into 1
0.239 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.239 * [backup-simplify]: Simplify (+ 1 0) into 1
0.240 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.240 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
0.240 * [taylor]: Taking taylor expansion of 1/2 in z
0.240 * [backup-simplify]: Simplify 1/2 into 1/2
0.240 * [taylor]: Taking taylor expansion of z in z
0.240 * [backup-simplify]: Simplify 0 into 0
0.240 * [backup-simplify]: Simplify 1 into 1
0.240 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
0.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
0.242 * [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)))))
0.242 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.242 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.242 * [taylor]: Taking taylor expansion of x in z
0.242 * [backup-simplify]: Simplify x into x
0.242 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.243 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.243 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.243 * [taylor]: Taking taylor expansion of z in z
0.243 * [backup-simplify]: Simplify 0 into 0
0.243 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify (* 1 1) into 1
0.243 * [backup-simplify]: Simplify (/ 1 1) into 1
0.243 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.243 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.243 * [taylor]: Taking taylor expansion of y in z
0.244 * [backup-simplify]: Simplify y into y
0.244 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.244 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.244 * [backup-simplify]: Simplify (+ 1 0) into 1
0.244 * [backup-simplify]: Simplify (+ 0 1) into 1
0.245 * [backup-simplify]: Simplify (sqrt 1) into 1
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.252 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.252 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.252 * [taylor]: Taking taylor expansion of x in y
0.252 * [backup-simplify]: Simplify x into x
0.252 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.252 * [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))
0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.253 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.253 * [taylor]: Taking taylor expansion of y in y
0.253 * [backup-simplify]: Simplify 0 into 0
0.253 * [backup-simplify]: Simplify 1 into 1
0.253 * [backup-simplify]: Simplify (* 1 1) into 1
0.254 * [backup-simplify]: Simplify (/ 1 1) into 1
0.254 * [backup-simplify]: Simplify (+ 0 1) into 1
0.254 * [backup-simplify]: Simplify (+ 0 1) into 1
0.255 * [backup-simplify]: Simplify (sqrt 1) into 1
0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.256 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (+ 0 0) into 0
0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.257 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.257 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.257 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.257 * [taylor]: Taking taylor expansion of x in x
0.257 * [backup-simplify]: Simplify 0 into 0
0.257 * [backup-simplify]: Simplify 1 into 1
0.258 * [backup-simplify]: Simplify (* 1 1) into 1
0.258 * [backup-simplify]: Simplify (/ 1 1) into 1
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.258 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.258 * [taylor]: Taking taylor expansion of z in x
0.258 * [backup-simplify]: Simplify z into z
0.258 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.259 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.259 * [taylor]: Taking taylor expansion of y in x
0.259 * [backup-simplify]: Simplify y into y
0.259 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.259 * [backup-simplify]: Simplify (+ 1 0) into 1
0.260 * [backup-simplify]: Simplify (sqrt 1) into 1
0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.261 * [backup-simplify]: Simplify (+ 0 0) into 0
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.262 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.262 * [taylor]: Taking taylor expansion of x in x
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.262 * [backup-simplify]: Simplify (/ 1 1) into 1
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.263 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.263 * [taylor]: Taking taylor expansion of z in x
0.263 * [backup-simplify]: Simplify z into z
0.263 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.263 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.263 * [taylor]: Taking taylor expansion of y in x
0.263 * [backup-simplify]: Simplify y into y
0.263 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.264 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (sqrt 1) into 1
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.265 * [backup-simplify]: Simplify (+ 0 0) into 0
0.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.266 * [taylor]: Taking taylor expansion of 1 in y
0.266 * [backup-simplify]: Simplify 1 into 1
0.266 * [taylor]: Taking taylor expansion of 0 in y
0.266 * [backup-simplify]: Simplify 0 into 0
0.266 * [taylor]: Taking taylor expansion of 1 in z
0.266 * [backup-simplify]: Simplify 1 into 1
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.268 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.269 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.270 * [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))))
0.270 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.270 * [taylor]: Taking taylor expansion of 1/2 in y
0.270 * [backup-simplify]: Simplify 1/2 into 1/2
0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.270 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.270 * [taylor]: Taking taylor expansion of z in y
0.270 * [backup-simplify]: Simplify z into z
0.270 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.271 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.271 * [taylor]: Taking taylor expansion of y in y
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.273 * [backup-simplify]: Simplify (+ 0 0) into 0
0.273 * [backup-simplify]: Simplify (+ 0 1) into 1
0.274 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.274 * [taylor]: Taking taylor expansion of 0 in z
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [taylor]: Taking taylor expansion of 0 in z
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [taylor]: Taking taylor expansion of 0 in z
0.274 * [backup-simplify]: Simplify 0 into 0
0.274 * [backup-simplify]: Simplify 1 into 1
0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.277 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.278 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.279 * [backup-simplify]: Simplify (+ 0 0) into 0
0.280 * [backup-simplify]: Simplify (+ 0 0) into 0
0.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.281 * [taylor]: Taking taylor expansion of 0 in y
0.281 * [backup-simplify]: Simplify 0 into 0
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.284 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.284 * [taylor]: Taking taylor expansion of 1/2 in z
0.284 * [backup-simplify]: Simplify 1/2 into 1/2
0.284 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.284 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.284 * [taylor]: Taking taylor expansion of z in z
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [backup-simplify]: Simplify 1 into 1
0.284 * [backup-simplify]: Simplify (* 1 1) into 1
0.285 * [backup-simplify]: Simplify (/ 1 1) into 1
0.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [taylor]: Taking taylor expansion of 0 in z
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [taylor]: Taking taylor expansion of 0 in z
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.286 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.289 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.291 * [backup-simplify]: Simplify (+ 0 0) into 0
0.293 * [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))))))
0.293 * [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
0.293 * [taylor]: Taking taylor expansion of -1/2 in y
0.293 * [backup-simplify]: Simplify -1/2 into -1/2
0.293 * [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
0.293 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.293 * [taylor]: Taking taylor expansion of 1/4 in y
0.293 * [backup-simplify]: Simplify 1/4 into 1/4
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.293 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.293 * [taylor]: Taking taylor expansion of z in y
0.293 * [backup-simplify]: Simplify z into z
0.293 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.293 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.293 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.293 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.293 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.293 * [taylor]: Taking taylor expansion of 1/2 in y
0.293 * [backup-simplify]: Simplify 1/2 into 1/2
0.293 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.294 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.294 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.294 * [taylor]: Taking taylor expansion of z in y
0.294 * [backup-simplify]: Simplify z into z
0.294 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.294 * [backup-simplify]: Simplify (* 1 1) into 1
0.294 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.294 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.294 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.294 * [taylor]: Taking taylor expansion of 1/4 in y
0.294 * [backup-simplify]: Simplify 1/4 into 1/4
0.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.294 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.294 * [taylor]: Taking taylor expansion of y in y
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.295 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.296 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.297 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.297 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.305 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.306 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.306 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.306 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.309 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.309 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.310 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.310 * [taylor]: Taking taylor expansion of 0 in z
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [taylor]: Taking taylor expansion of 0 in z
0.310 * [backup-simplify]: Simplify 0 into 0
0.310 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.313 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.314 * [taylor]: Taking taylor expansion of 0 in z
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [taylor]: Taking taylor expansion of 0 in z
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [taylor]: Taking taylor expansion of 0 in z
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
0.317 * [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)))))
0.317 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in (x y z) around 0
0.317 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in z
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.317 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.317 * [taylor]: Taking taylor expansion of x in z
0.317 * [backup-simplify]: Simplify x into x
0.317 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.317 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.317 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.317 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.317 * [taylor]: Taking taylor expansion of z in z
0.317 * [backup-simplify]: Simplify 0 into 0
0.317 * [backup-simplify]: Simplify 1 into 1
0.317 * [backup-simplify]: Simplify (* 1 1) into 1
0.318 * [backup-simplify]: Simplify (/ 1 1) into 1
0.318 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.318 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.318 * [taylor]: Taking taylor expansion of y in z
0.318 * [backup-simplify]: Simplify y into y
0.318 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.318 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.319 * [backup-simplify]: Simplify (+ 1 0) into 1
0.319 * [backup-simplify]: Simplify (+ 0 1) into 1
0.320 * [backup-simplify]: Simplify (sqrt 1) into 1
0.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.321 * [backup-simplify]: Simplify (+ 0 0) into 0
0.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.322 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in y
0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.322 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.322 * [taylor]: Taking taylor expansion of x in y
0.322 * [backup-simplify]: Simplify x into x
0.322 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.322 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.322 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.322 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.322 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.323 * [taylor]: Taking taylor expansion of z in y
0.323 * [backup-simplify]: Simplify z into z
0.323 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.323 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.323 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.323 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.323 * [taylor]: Taking taylor expansion of y in y
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
0.323 * [backup-simplify]: Simplify (/ 1 1) into 1
0.324 * [backup-simplify]: Simplify (+ 0 1) into 1
0.324 * [backup-simplify]: Simplify (+ 0 1) into 1
0.324 * [backup-simplify]: Simplify (sqrt 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 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.327 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.327 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.327 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.327 * [taylor]: Taking taylor expansion of x in x
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 1 into 1
0.327 * [backup-simplify]: Simplify (* 1 1) into 1
0.327 * [backup-simplify]: Simplify (/ 1 1) into 1
0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.328 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.328 * [taylor]: Taking taylor expansion of z in x
0.328 * [backup-simplify]: Simplify z into z
0.328 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.328 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.328 * [taylor]: Taking taylor expansion of y in x
0.328 * [backup-simplify]: Simplify y into y
0.328 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.328 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.329 * [backup-simplify]: Simplify (+ 1 0) into 1
0.329 * [backup-simplify]: Simplify (sqrt 1) into 1
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ 0 0) into 0
0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))) in x
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.331 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.331 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.331 * [taylor]: Taking taylor expansion of x in x
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* 1 1) into 1
0.332 * [backup-simplify]: Simplify (/ 1 1) into 1
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.332 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.332 * [taylor]: Taking taylor expansion of z in x
0.332 * [backup-simplify]: Simplify z into z
0.332 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.332 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.332 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.332 * [taylor]: Taking taylor expansion of y in x
0.332 * [backup-simplify]: Simplify y into y
0.332 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.332 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.333 * [backup-simplify]: Simplify (+ 1 0) into 1
0.333 * [backup-simplify]: Simplify (sqrt 1) into 1
0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 0) into 0
0.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.335 * [taylor]: Taking taylor expansion of 1 in y
0.335 * [backup-simplify]: Simplify 1 into 1
0.335 * [taylor]: Taking taylor expansion of 0 in y
0.335 * [backup-simplify]: Simplify 0 into 0
0.335 * [taylor]: Taking taylor expansion of 1 in z
0.335 * [backup-simplify]: Simplify 1 into 1
0.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.337 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.337 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.339 * [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))))
0.339 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.339 * [taylor]: Taking taylor expansion of 1/2 in y
0.339 * [backup-simplify]: Simplify 1/2 into 1/2
0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.339 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.339 * [taylor]: Taking taylor expansion of z in y
0.339 * [backup-simplify]: Simplify z into z
0.339 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.339 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.339 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.339 * [taylor]: Taking taylor expansion of y in y
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (* 1 1) into 1
0.340 * [backup-simplify]: Simplify (/ 1 1) into 1
0.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.342 * [backup-simplify]: Simplify (+ 0 1) into 1
0.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in z
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [taylor]: Taking taylor expansion of 0 in z
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [taylor]: Taking taylor expansion of 0 in z
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify 1 into 1
0.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.344 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.345 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
0.346 * [taylor]: Taking taylor expansion of 0 in y
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.348 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.349 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
0.349 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
0.349 * [taylor]: Taking taylor expansion of 1/2 in z
0.349 * [backup-simplify]: Simplify 1/2 into 1/2
0.349 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.349 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.349 * [taylor]: Taking taylor expansion of z in z
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 1 into 1
0.350 * [backup-simplify]: Simplify (* 1 1) into 1
0.350 * [backup-simplify]: Simplify (/ 1 1) into 1
0.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [taylor]: Taking taylor expansion of 0 in z
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [taylor]: Taking taylor expansion of 0 in z
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.354 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.355 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.355 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.355 * [backup-simplify]: Simplify (+ 0 0) into 0
0.356 * [backup-simplify]: Simplify (+ 0 0) into 0
0.357 * [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))))))
0.357 * [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
0.357 * [taylor]: Taking taylor expansion of -1/2 in y
0.357 * [backup-simplify]: Simplify -1/2 into -1/2
0.357 * [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
0.357 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
0.357 * [taylor]: Taking taylor expansion of 1/4 in y
0.357 * [backup-simplify]: Simplify 1/4 into 1/4
0.357 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
0.357 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.357 * [taylor]: Taking taylor expansion of z in y
0.357 * [backup-simplify]: Simplify z into z
0.357 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.358 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.358 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
0.358 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
0.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
0.358 * [taylor]: Taking taylor expansion of 1/2 in y
0.358 * [backup-simplify]: Simplify 1/2 into 1/2
0.358 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
0.358 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.358 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.358 * [taylor]: Taking taylor expansion of z in y
0.358 * [backup-simplify]: Simplify z into z
0.358 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.358 * [taylor]: Taking taylor expansion of y in y
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
0.358 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.358 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.359 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.359 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
0.359 * [taylor]: Taking taylor expansion of 1/4 in y
0.359 * [backup-simplify]: Simplify 1/4 into 1/4
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
0.359 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.359 * [taylor]: Taking taylor expansion of y in y
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (* 1 1) into 1
0.360 * [backup-simplify]: Simplify (* 1 1) into 1
0.360 * [backup-simplify]: Simplify (/ 1 1) into 1
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.361 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.362 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [backup-simplify]: Simplify (+ 0 0) into 0
0.370 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
0.371 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
0.371 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
0.371 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
0.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
0.373 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.373 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
0.374 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
0.374 * [taylor]: Taking taylor expansion of 0 in z
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [taylor]: Taking taylor expansion of 0 in z
0.374 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.377 * [backup-simplify]: Simplify (+ 0 0) into 0
0.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
0.378 * [taylor]: Taking taylor expansion of 0 in z
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [taylor]: Taking taylor expansion of 0 in z
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [taylor]: Taking taylor expansion of 0 in z
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.384 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
0.384 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.384 * [backup-simplify]: Simplify (+ (+ (* x x) (* y y)) (* z z)) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.384 * [approximate]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in (x y z) around 0
0.384 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in z
0.384 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.384 * [taylor]: Taking taylor expansion of x in z
0.384 * [backup-simplify]: Simplify x into x
0.384 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in z
0.385 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.385 * [taylor]: Taking taylor expansion of y in z
0.385 * [backup-simplify]: Simplify y into y
0.385 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.385 * [taylor]: Taking taylor expansion of z in z
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in y
0.385 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.385 * [taylor]: Taking taylor expansion of x in y
0.385 * [backup-simplify]: Simplify x into x
0.385 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.385 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.385 * [taylor]: Taking taylor expansion of y in y
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.385 * [taylor]: Taking taylor expansion of z in y
0.385 * [backup-simplify]: Simplify z into z
0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.385 * [taylor]: Taking taylor expansion of x in x
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.385 * [taylor]: Taking taylor expansion of y in x
0.385 * [backup-simplify]: Simplify y into y
0.385 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.385 * [taylor]: Taking taylor expansion of z in x
0.385 * [backup-simplify]: Simplify z into z
0.385 * [taylor]: Taking taylor expansion of (+ (pow x 2) (+ (pow y 2) (pow z 2))) in x
0.385 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.385 * [taylor]: Taking taylor expansion of x in x
0.385 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify 1 into 1
0.385 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in x
0.385 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.385 * [taylor]: Taking taylor expansion of y in x
0.385 * [backup-simplify]: Simplify y into y
0.385 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.386 * [taylor]: Taking taylor expansion of z in x
0.386 * [backup-simplify]: Simplify z into z
0.386 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.386 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.386 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.386 * [backup-simplify]: Simplify (+ 0 (+ (pow y 2) (pow z 2))) into (+ (pow y 2) (pow z 2))
0.386 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.386 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.386 * [taylor]: Taking taylor expansion of y in y
0.386 * [backup-simplify]: Simplify 0 into 0
0.386 * [backup-simplify]: Simplify 1 into 1
0.386 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.386 * [taylor]: Taking taylor expansion of z in y
0.386 * [backup-simplify]: Simplify z into z
0.386 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.387 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.387 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.387 * [taylor]: Taking taylor expansion of z in z
0.387 * [backup-simplify]: Simplify 0 into 0
0.387 * [backup-simplify]: Simplify 1 into 1
0.387 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.387 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.387 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [taylor]: Taking taylor expansion of 0 in y
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [taylor]: Taking taylor expansion of 0 in z
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [taylor]: Taking taylor expansion of 0 in z
0.388 * [backup-simplify]: Simplify 0 into 0
0.388 * [backup-simplify]: Simplify 0 into 0
0.389 * [backup-simplify]: Simplify (* 1 1) into 1
0.389 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.389 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.390 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [backup-simplify]: Simplify (+ 1 0) into 1
0.390 * [taylor]: Taking taylor expansion of 1 in y
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [taylor]: Taking taylor expansion of 1 in z
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [backup-simplify]: Simplify 1 into 1
0.390 * [taylor]: Taking taylor expansion of 0 in z
0.390 * [backup-simplify]: Simplify 0 into 0
0.390 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify (* 1 1) into 1
0.391 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.391 * [backup-simplify]: Simplify (+ 1 0) into 1
0.391 * [taylor]: Taking taylor expansion of 1 in z
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify (* 1 1) into 1
0.392 * [backup-simplify]: Simplify 1 into 1
0.393 * [backup-simplify]: Simplify (+ (* 1 (pow (* z (* 1 1)) 2)) (+ (* 1 (pow (* 1 (* y 1)) 2)) (* 1 (pow (* 1 (* 1 x)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.393 * [backup-simplify]: Simplify (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.393 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.393 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.393 * [taylor]: Taking taylor expansion of x in z
0.393 * [backup-simplify]: Simplify x into x
0.393 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.393 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.394 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.394 * [taylor]: Taking taylor expansion of z in z
0.394 * [backup-simplify]: Simplify 0 into 0
0.394 * [backup-simplify]: Simplify 1 into 1
0.394 * [backup-simplify]: Simplify (* 1 1) into 1
0.394 * [backup-simplify]: Simplify (/ 1 1) into 1
0.394 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.394 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.394 * [taylor]: Taking taylor expansion of y in z
0.394 * [backup-simplify]: Simplify y into y
0.394 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.395 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.395 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.395 * [taylor]: Taking taylor expansion of x in y
0.395 * [backup-simplify]: Simplify x into x
0.395 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.395 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.395 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.395 * [taylor]: Taking taylor expansion of z in y
0.395 * [backup-simplify]: Simplify z into z
0.395 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.395 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.395 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.395 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.395 * [taylor]: Taking taylor expansion of y in y
0.395 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (* 1 1) into 1
0.396 * [backup-simplify]: Simplify (/ 1 1) into 1
0.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.396 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.396 * [taylor]: Taking taylor expansion of x in x
0.396 * [backup-simplify]: Simplify 0 into 0
0.396 * [backup-simplify]: Simplify 1 into 1
0.396 * [backup-simplify]: Simplify (* 1 1) into 1
0.397 * [backup-simplify]: Simplify (/ 1 1) into 1
0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.397 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.397 * [taylor]: Taking taylor expansion of z in x
0.397 * [backup-simplify]: Simplify z into z
0.397 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.397 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.397 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.397 * [taylor]: Taking taylor expansion of y in x
0.397 * [backup-simplify]: Simplify y into y
0.397 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.397 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.397 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.397 * [taylor]: Taking taylor expansion of x in x
0.397 * [backup-simplify]: Simplify 0 into 0
0.397 * [backup-simplify]: Simplify 1 into 1
0.398 * [backup-simplify]: Simplify (* 1 1) into 1
0.398 * [backup-simplify]: Simplify (/ 1 1) into 1
0.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.398 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.398 * [taylor]: Taking taylor expansion of z in x
0.398 * [backup-simplify]: Simplify z into z
0.398 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.398 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.398 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.398 * [taylor]: Taking taylor expansion of y in x
0.398 * [backup-simplify]: Simplify y into y
0.398 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.399 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.399 * [backup-simplify]: Simplify (+ 1 0) into 1
0.399 * [taylor]: Taking taylor expansion of 1 in y
0.399 * [backup-simplify]: Simplify 1 into 1
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.400 * [backup-simplify]: Simplify (+ 0 0) into 0
0.400 * [taylor]: Taking taylor expansion of 0 in y
0.401 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.403 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.403 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.403 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.403 * [taylor]: Taking taylor expansion of z in y
0.403 * [backup-simplify]: Simplify z into z
0.403 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.403 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.403 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.403 * [taylor]: Taking taylor expansion of y in y
0.403 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify 1 into 1
0.404 * [backup-simplify]: Simplify (* 1 1) into 1
0.404 * [backup-simplify]: Simplify (/ 1 1) into 1
0.404 * [backup-simplify]: Simplify (+ 0 1) into 1
0.404 * [taylor]: Taking taylor expansion of 1 in z
0.404 * [backup-simplify]: Simplify 1 into 1
0.404 * [taylor]: Taking taylor expansion of 1 in z
0.404 * [backup-simplify]: Simplify 1 into 1
0.405 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.406 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.406 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [taylor]: Taking taylor expansion of 0 in y
0.407 * [backup-simplify]: Simplify 0 into 0
0.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.409 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [taylor]: Taking taylor expansion of 0 in z
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [taylor]: Taking taylor expansion of 0 in z
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [taylor]: Taking taylor expansion of 0 in z
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.412 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.412 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [backup-simplify]: Simplify (+ 0 0) into 0
0.413 * [taylor]: Taking taylor expansion of 0 in y
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.414 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.414 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.414 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.414 * [taylor]: Taking taylor expansion of z in z
0.414 * [backup-simplify]: Simplify 0 into 0
0.414 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify (* 1 1) into 1
0.415 * [backup-simplify]: Simplify (/ 1 1) into 1
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [taylor]: Taking taylor expansion of 0 in z
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [taylor]: Taking taylor expansion of 0 in z
0.415 * [backup-simplify]: Simplify 0 into 0
0.415 * [backup-simplify]: Simplify 1 into 1
0.415 * [backup-simplify]: Simplify 1 into 1
0.416 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.417 * [backup-simplify]: Simplify (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) into (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
0.417 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in (x y z) around 0
0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in z
0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.417 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.417 * [taylor]: Taking taylor expansion of x in z
0.417 * [backup-simplify]: Simplify x into x
0.417 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.417 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in z
0.417 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.417 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.417 * [taylor]: Taking taylor expansion of z in z
0.417 * [backup-simplify]: Simplify 0 into 0
0.417 * [backup-simplify]: Simplify 1 into 1
0.418 * [backup-simplify]: Simplify (* 1 1) into 1
0.418 * [backup-simplify]: Simplify (/ 1 1) into 1
0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.418 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.418 * [taylor]: Taking taylor expansion of y in z
0.418 * [backup-simplify]: Simplify y into y
0.418 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.418 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.418 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
0.418 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.418 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.418 * [taylor]: Taking taylor expansion of x in y
0.418 * [backup-simplify]: Simplify x into x
0.418 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.418 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.419 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.419 * [taylor]: Taking taylor expansion of z in y
0.419 * [backup-simplify]: Simplify z into z
0.419 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.419 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.419 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.419 * [taylor]: Taking taylor expansion of y in y
0.419 * [backup-simplify]: Simplify 0 into 0
0.419 * [backup-simplify]: Simplify 1 into 1
0.419 * [backup-simplify]: Simplify (* 1 1) into 1
0.419 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.420 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.420 * [taylor]: Taking taylor expansion of x in x
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 1 into 1
0.420 * [backup-simplify]: Simplify (* 1 1) into 1
0.420 * [backup-simplify]: Simplify (/ 1 1) into 1
0.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.420 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.420 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.420 * [taylor]: Taking taylor expansion of z in x
0.420 * [backup-simplify]: Simplify z into z
0.420 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.421 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.421 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.421 * [taylor]: Taking taylor expansion of y in x
0.421 * [backup-simplify]: Simplify y into y
0.421 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.421 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.421 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in x
0.421 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.421 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.421 * [taylor]: Taking taylor expansion of x in x
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [backup-simplify]: Simplify (* 1 1) into 1
0.422 * [backup-simplify]: Simplify (/ 1 1) into 1
0.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in x
0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.422 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.422 * [taylor]: Taking taylor expansion of z in x
0.422 * [backup-simplify]: Simplify z into z
0.422 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.422 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.422 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.422 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.422 * [taylor]: Taking taylor expansion of y in x
0.422 * [backup-simplify]: Simplify y into y
0.422 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.423 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.423 * [backup-simplify]: Simplify (+ 1 0) into 1
0.423 * [taylor]: Taking taylor expansion of 1 in y
0.423 * [backup-simplify]: Simplify 1 into 1
0.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.425 * [taylor]: Taking taylor expansion of 0 in y
0.425 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.427 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.427 * [backup-simplify]: Simplify (+ 0 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
0.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.427 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.427 * [taylor]: Taking taylor expansion of z in y
0.427 * [backup-simplify]: Simplify z into z
0.427 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.427 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.427 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.427 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.427 * [taylor]: Taking taylor expansion of y in y
0.428 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify 1 into 1
0.428 * [backup-simplify]: Simplify (* 1 1) into 1
0.428 * [backup-simplify]: Simplify (/ 1 1) into 1
0.429 * [backup-simplify]: Simplify (+ 0 1) into 1
0.429 * [taylor]: Taking taylor expansion of 1 in z
0.429 * [backup-simplify]: Simplify 1 into 1
0.429 * [taylor]: Taking taylor expansion of 1 in z
0.429 * [backup-simplify]: Simplify 1 into 1
0.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.431 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.432 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [backup-simplify]: Simplify (+ 0 0) into 0
0.433 * [taylor]: Taking taylor expansion of 0 in y
0.433 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.435 * [taylor]: Taking taylor expansion of 0 in z
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [taylor]: Taking taylor expansion of 0 in z
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [taylor]: Taking taylor expansion of 0 in z
0.435 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.438 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.438 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.439 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [backup-simplify]: Simplify (+ 0 0) into 0
0.440 * [taylor]: Taking taylor expansion of 0 in y
0.440 * [backup-simplify]: Simplify 0 into 0
0.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.442 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
0.442 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.442 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.442 * [taylor]: Taking taylor expansion of z in z
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (/ 1 1) into 1
0.443 * [backup-simplify]: Simplify 1 into 1
0.443 * [taylor]: Taking taylor expansion of 0 in z
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [taylor]: Taking taylor expansion of 0 in z
0.443 * [backup-simplify]: Simplify 0 into 0
0.443 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify 1 into 1
0.444 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 1 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 1 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (pow x 2) (+ (pow y 2) (pow z 2)))
0.444 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
0.444 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
0.444 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
0.444 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
0.444 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.444 * [taylor]: Taking taylor expansion of x in y
0.444 * [backup-simplify]: Simplify x into x
0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.445 * [taylor]: Taking taylor expansion of y in y
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.445 * [taylor]: Taking taylor expansion of x in x
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.445 * [taylor]: Taking taylor expansion of y in x
0.445 * [backup-simplify]: Simplify y into y
0.445 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
0.445 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.445 * [taylor]: Taking taylor expansion of x in x
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.445 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.445 * [taylor]: Taking taylor expansion of y in x
0.445 * [backup-simplify]: Simplify y into y
0.445 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.445 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
0.445 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.445 * [taylor]: Taking taylor expansion of y in y
0.445 * [backup-simplify]: Simplify 0 into 0
0.445 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.446 * [backup-simplify]: Simplify (+ 0 0) into 0
0.446 * [taylor]: Taking taylor expansion of 0 in y
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify 0 into 0
0.446 * [backup-simplify]: Simplify (* 1 1) into 1
0.447 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.447 * [backup-simplify]: Simplify (+ 1 0) into 1
0.447 * [taylor]: Taking taylor expansion of 1 in y
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (* 1 1) into 1
0.448 * [backup-simplify]: Simplify 1 into 1
0.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.449 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
0.450 * [backup-simplify]: Simplify (+ 0 0) into 0
0.450 * [taylor]: Taking taylor expansion of 0 in y
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.453 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
0.453 * [backup-simplify]: Simplify (+ 0 0) into 0
0.453 * [taylor]: Taking taylor expansion of 0 in y
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 0 into 0
0.453 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
0.454 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.454 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.454 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.454 * [taylor]: Taking taylor expansion of x in y
0.454 * [backup-simplify]: Simplify x into x
0.454 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.454 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.454 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.454 * [taylor]: Taking taylor expansion of y in y
0.454 * [backup-simplify]: Simplify 0 into 0
0.454 * [backup-simplify]: Simplify 1 into 1
0.455 * [backup-simplify]: Simplify (* 1 1) into 1
0.455 * [backup-simplify]: Simplify (/ 1 1) into 1
0.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.455 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.455 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.455 * [taylor]: Taking taylor expansion of x in x
0.455 * [backup-simplify]: Simplify 0 into 0
0.455 * [backup-simplify]: Simplify 1 into 1
0.456 * [backup-simplify]: Simplify (* 1 1) into 1
0.456 * [backup-simplify]: Simplify (/ 1 1) into 1
0.456 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.456 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.456 * [taylor]: Taking taylor expansion of y in x
0.456 * [backup-simplify]: Simplify y into y
0.456 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.456 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.456 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.457 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.457 * [taylor]: Taking taylor expansion of x in x
0.457 * [backup-simplify]: Simplify 0 into 0
0.457 * [backup-simplify]: Simplify 1 into 1
0.457 * [backup-simplify]: Simplify (* 1 1) into 1
0.457 * [backup-simplify]: Simplify (/ 1 1) into 1
0.457 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.457 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.457 * [taylor]: Taking taylor expansion of y in x
0.457 * [backup-simplify]: Simplify y into y
0.458 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.458 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.458 * [backup-simplify]: Simplify (+ 1 0) into 1
0.458 * [taylor]: Taking taylor expansion of 1 in y
0.458 * [backup-simplify]: Simplify 1 into 1
0.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.460 * [backup-simplify]: Simplify (+ 0 0) into 0
0.460 * [taylor]: Taking taylor expansion of 0 in y
0.460 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.462 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.462 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.463 * [taylor]: Taking taylor expansion of y in y
0.463 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify (* 1 1) into 1
0.463 * [backup-simplify]: Simplify (/ 1 1) into 1
0.463 * [backup-simplify]: Simplify 1 into 1
0.463 * [backup-simplify]: Simplify 1 into 1
0.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.465 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.466 * [taylor]: Taking taylor expansion of 0 in y
0.466 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [taylor]: Taking taylor expansion of 0 in y
0.471 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.473 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
0.474 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
0.474 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
0.474 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.474 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.474 * [taylor]: Taking taylor expansion of x in y
0.474 * [backup-simplify]: Simplify x into x
0.474 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.474 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.474 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.474 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.474 * [taylor]: Taking taylor expansion of y in y
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (* 1 1) into 1
0.475 * [backup-simplify]: Simplify (/ 1 1) into 1
0.475 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.475 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.475 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.475 * [taylor]: Taking taylor expansion of x in x
0.475 * [backup-simplify]: Simplify 0 into 0
0.475 * [backup-simplify]: Simplify 1 into 1
0.476 * [backup-simplify]: Simplify (* 1 1) into 1
0.476 * [backup-simplify]: Simplify (/ 1 1) into 1
0.476 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.476 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.476 * [taylor]: Taking taylor expansion of y in x
0.476 * [backup-simplify]: Simplify y into y
0.476 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.477 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
0.477 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.477 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.477 * [taylor]: Taking taylor expansion of x in x
0.477 * [backup-simplify]: Simplify 0 into 0
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [backup-simplify]: Simplify (* 1 1) into 1
0.478 * [backup-simplify]: Simplify (/ 1 1) into 1
0.478 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.478 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.478 * [taylor]: Taking taylor expansion of y in x
0.478 * [backup-simplify]: Simplify y into y
0.478 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.478 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.478 * [backup-simplify]: Simplify (+ 1 0) into 1
0.478 * [taylor]: Taking taylor expansion of 1 in y
0.478 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.480 * [backup-simplify]: Simplify (+ 0 0) into 0
0.480 * [taylor]: Taking taylor expansion of 0 in y
0.480 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.482 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
0.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.482 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.482 * [taylor]: Taking taylor expansion of y in y
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (* 1 1) into 1
0.483 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify 1 into 1
0.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.485 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [taylor]: Taking taylor expansion of 0 in y
0.486 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.487 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.491 * [backup-simplify]: Simplify (+ 0 0) into 0
0.491 * [taylor]: Taking taylor expansion of 0 in y
0.491 * [backup-simplify]: Simplify 0 into 0
0.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
0.494 * * * [progress]: simplifying candidates
0.495 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log1p (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (expm1 (+ (+ (* x x) (* y y)) (* z z)))
  (log1p (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (exp (* x x)) (exp (* y y))) (exp (* z z)))
  (* (exp (+ (* x x) (* y y))) (exp (* z z)))
  (log (+ (+ (* x x) (* y y)) (* z z)))
  (exp (+ (+ (* x x) (* y y)) (* z z)))
  (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (cbrt (+ (+ (* x x) (* y y)) (* z z)))
  (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3))
  (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))
  (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))
  (- (+ (* x x) (* y y)) (* z z))
  (+ (* y y) (* z z))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  z
  x
  (* -1 x)
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (+ (pow y 2) (pow z 2)))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
0.497 * * [simplify]: Extracting # 0 : cost  0
0.497 * * [simplify]: Extracting # 1 : cost  0
0.498 * * [simplify]: Extracting # 2 : cost  0
0.498 * * [simplify]: Extracting # 3 : cost  0
0.498 * * [simplify]: Extracting # 4 : cost  0
0.498 * * [simplify]: Extracting # 5 : cost  0
0.498 * * [simplify]: Extracting # 6 : cost  0
0.498 * * [simplify]: iteration  0 :  80  enodes  (cost  808 )
0.530 * * [simplify]: Extracting # 0 : cost  0
0.530 * * [simplify]: Extracting # 1 : cost  0
0.531 * * [simplify]: Extracting # 2 : cost  0
0.531 * * [simplify]: Extracting # 3 : cost  0
0.532 * * [simplify]: Extracting # 4 : cost  0
0.532 * * [simplify]: iteration  1 :  253  enodes  (cost  677 )
0.708 * * [simplify]: Extracting # 0 : cost  0
0.711 * * [simplify]: Extracting # 1 : cost  0
0.713 * * [simplify]: Extracting # 2 : cost  0
0.720 * * [simplify]: Extracting # 3 : cost  0
0.722 * * [simplify]: Extracting # 4 : cost  0
0.725 * * [simplify]: iteration  2 :  1412  enodes  (cost  586 )
1.682 * * [simplify]: Extracting # 0 : cost  0
1.690 * * [simplify]: Extracting # 1 : cost  0
1.699 * * [simplify]: Extracting # 2 : cost  0
1.708 * * [simplify]: Extracting # 3 : cost  0
1.716 * * [simplify]: Extracting # 4 : cost  0
1.729 * * [simplify]: iteration done:  5000  enodes  (cost  586 )
1.730 * [simplify]: Simplified to:
  (expm1 (sqrt (fma x x (fma y y (* z z)))))
  (log1p (sqrt (fma x x (fma y y (* z z)))))
  (log (sqrt (fma x x (fma y y (* z z)))))
  (exp (sqrt (fma x x (fma y y (* z z)))))
  (* (cbrt (sqrt (fma x x (fma y y (* z z))))) (cbrt (sqrt (fma x x (fma y y (* z z))))))
  (cbrt (sqrt (fma x x (fma y y (* z z)))))
  (pow (sqrt (fma x x (fma y y (* z z)))) 3)
  (fabs (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (cbrt (fma z z (fma x x (* y y)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  1
  (sqrt (fma x x (fma y y (* z z))))
  (hypot (pow z 3) (pow (fma x x (* y y)) 3/2))
  (sqrt (fma (fma x x (* y y)) (fma x x (* y y)) (* (* z z) (- (* z z) (fma x x (* y y))))))
  (sqrt (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4)))
  (sqrt (- (fma x x (* y y)) (* z z)))
  1/2
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (sqrt (sqrt (fma x x (fma y y (* z z)))))
  (expm1 (fma z z (fma x x (* y y))))
  (log1p (fma x x (fma y y (* z z))))
  (exp (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (log (fma z z (fma x x (* y y))))
  (exp (fma z z (fma x x (* y y))))
  (* (cbrt (fma z z (fma x x (* y y)))) (cbrt (fma z z (fma x x (* y y)))))
  (cbrt (fma z z (fma x x (* y y))))
  (pow (fma x x (fma y y (* z z))) 3)
  (sqrt (fma x x (fma y y (* z z))))
  (sqrt (fma x x (fma y y (* z z))))
  (+ (pow (fma x x (* y y)) 3) (pow z 6))
  (fma (fma x x (* y y)) (fma x x (* y y)) (* (* z z) (- (* z z) (fma x x (* y y)))))
  (- (* (fma x x (* y y)) (fma x x (* y y))) (pow z 4))
  (- (fma x x (* y y)) (* z z))
  (fma z z (* y y))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (exp (fma y y (* x x)))
  (log (fma x x (* y y)))
  (exp (fma y y (* x x)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (fma x x (* y y)) 3)
  (hypot x y)
  (hypot x y)
  (+ (pow x 6) (pow y 6))
  (fma (* y y) (- (* y y) (* x x)) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  z
  x
  (- x)
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
  (fma x x (fma y y (* z z)))
  (fma y y (* x x))
  (fma y y (* x x))
  (fma y y (* x x))
1.730 * * * [progress]: adding candidates to table
2.092 * * [progress]: iteration 2 / 4
2.092 * * * [progress]: picking best candidate
2.110 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (sqrt (+ (* x x) (* y y))) z))>
2.110 * * * [progress]: localizing error
2.131 * * * [progress]: generating rewritten candidates
2.131 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1)
2.152 * * * * [progress]: [ 2 / 3 ] rewriting at (2)
2.152 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
2.170 * * * [progress]: generating series expansions
2.170 * * * * [progress]: [ 1 / 3 ] generating series at (2 1)
2.171 * [backup-simplify]: Simplify (sqrt (+ (* x x) (* y y))) into (sqrt (+ (pow x 2) (pow y 2)))
2.171 * [approximate]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in (x y) around 0
2.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.171 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.171 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.171 * [taylor]: Taking taylor expansion of x in y
2.171 * [backup-simplify]: Simplify x into x
2.171 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.171 * [taylor]: Taking taylor expansion of y in y
2.171 * [backup-simplify]: Simplify 0 into 0
2.171 * [backup-simplify]: Simplify 1 into 1
2.171 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.171 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.171 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.171 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.172 * [backup-simplify]: Simplify (+ 0 0) into 0
2.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.172 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.172 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.172 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.172 * [taylor]: Taking taylor expansion of x in x
2.172 * [backup-simplify]: Simplify 0 into 0
2.172 * [backup-simplify]: Simplify 1 into 1
2.172 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.172 * [taylor]: Taking taylor expansion of y in x
2.172 * [backup-simplify]: Simplify y into y
2.172 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.173 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.173 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.173 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.173 * [backup-simplify]: Simplify (+ 0 0) into 0
2.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.173 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.173 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.173 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.173 * [taylor]: Taking taylor expansion of x in x
2.173 * [backup-simplify]: Simplify 0 into 0
2.174 * [backup-simplify]: Simplify 1 into 1
2.174 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.174 * [taylor]: Taking taylor expansion of y in x
2.174 * [backup-simplify]: Simplify y into y
2.174 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.174 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.174 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.174 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.174 * [backup-simplify]: Simplify (+ 0 0) into 0
2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.175 * [taylor]: Taking taylor expansion of y in y
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [taylor]: Taking taylor expansion of 0 in y
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 0 into 0
2.175 * [backup-simplify]: Simplify 1 into 1
2.175 * [backup-simplify]: Simplify (* 1 1) into 1
2.176 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.176 * [backup-simplify]: Simplify (+ 1 0) into 1
2.177 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.177 * [taylor]: Taking taylor expansion of (/ 1/2 y) in y
2.177 * [taylor]: Taking taylor expansion of 1/2 in y
2.177 * [backup-simplify]: Simplify 1/2 into 1/2
2.177 * [taylor]: Taking taylor expansion of y in y
2.177 * [backup-simplify]: Simplify 0 into 0
2.177 * [backup-simplify]: Simplify 1 into 1
2.177 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.178 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 0 into 0
2.178 * [backup-simplify]: Simplify 0 into 0
2.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.179 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.180 * [backup-simplify]: Simplify (+ 0 0) into 0
2.180 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y))))) (* 2 y)) into 0
2.180 * [taylor]: Taking taylor expansion of 0 in y
2.180 * [backup-simplify]: Simplify 0 into 0
2.180 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify 0 into 0
2.181 * [backup-simplify]: Simplify (* 1 (* y 1)) into y
2.181 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.181 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.181 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.181 * [taylor]: Taking taylor expansion of x in y
2.181 * [backup-simplify]: Simplify x into x
2.181 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.182 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.182 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.182 * [taylor]: Taking taylor expansion of y in y
2.182 * [backup-simplify]: Simplify 0 into 0
2.182 * [backup-simplify]: Simplify 1 into 1
2.182 * [backup-simplify]: Simplify (* 1 1) into 1
2.182 * [backup-simplify]: Simplify (/ 1 1) into 1
2.183 * [backup-simplify]: Simplify (+ 0 1) into 1
2.183 * [backup-simplify]: Simplify (sqrt 1) into 1
2.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.185 * [backup-simplify]: Simplify (+ 0 0) into 0
2.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.185 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.185 * [taylor]: Taking taylor expansion of x in x
2.185 * [backup-simplify]: Simplify 0 into 0
2.185 * [backup-simplify]: Simplify 1 into 1
2.186 * [backup-simplify]: Simplify (* 1 1) into 1
2.186 * [backup-simplify]: Simplify (/ 1 1) into 1
2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.186 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.186 * [taylor]: Taking taylor expansion of y in x
2.186 * [backup-simplify]: Simplify y into y
2.186 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.186 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.187 * [backup-simplify]: Simplify (+ 1 0) into 1
2.187 * [backup-simplify]: Simplify (sqrt 1) into 1
2.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.189 * [backup-simplify]: Simplify (+ 0 0) into 0
2.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.189 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.189 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.189 * [taylor]: Taking taylor expansion of x in x
2.189 * [backup-simplify]: Simplify 0 into 0
2.189 * [backup-simplify]: Simplify 1 into 1
2.190 * [backup-simplify]: Simplify (* 1 1) into 1
2.190 * [backup-simplify]: Simplify (/ 1 1) into 1
2.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.190 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.190 * [taylor]: Taking taylor expansion of y in x
2.190 * [backup-simplify]: Simplify y into y
2.190 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.190 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.191 * [backup-simplify]: Simplify (+ 1 0) into 1
2.191 * [backup-simplify]: Simplify (sqrt 1) into 1
2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.193 * [backup-simplify]: Simplify (+ 0 0) into 0
2.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.193 * [taylor]: Taking taylor expansion of 1 in y
2.193 * [backup-simplify]: Simplify 1 into 1
2.193 * [taylor]: Taking taylor expansion of 0 in y
2.193 * [backup-simplify]: Simplify 0 into 0
2.193 * [backup-simplify]: Simplify 1 into 1
2.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.195 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.196 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.196 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.196 * [taylor]: Taking taylor expansion of 1/2 in y
2.196 * [backup-simplify]: Simplify 1/2 into 1/2
2.196 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.196 * [taylor]: Taking taylor expansion of y in y
2.196 * [backup-simplify]: Simplify 0 into 0
2.196 * [backup-simplify]: Simplify 1 into 1
2.197 * [backup-simplify]: Simplify (* 1 1) into 1
2.197 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.198 * [backup-simplify]: Simplify 0 into 0
2.199 * [backup-simplify]: Simplify 0 into 0
2.199 * [backup-simplify]: Simplify 0 into 0
2.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.201 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.201 * [backup-simplify]: Simplify (+ 0 0) into 0
2.202 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.202 * [taylor]: Taking taylor expansion of 0 in y
2.202 * [backup-simplify]: Simplify 0 into 0
2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify 0 into 0
2.204 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 x)))) into x
2.204 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.204 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in (x y) around 0
2.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.204 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.204 * [taylor]: Taking taylor expansion of x in y
2.204 * [backup-simplify]: Simplify x into x
2.204 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.205 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.205 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.205 * [taylor]: Taking taylor expansion of y in y
2.205 * [backup-simplify]: Simplify 0 into 0
2.205 * [backup-simplify]: Simplify 1 into 1
2.205 * [backup-simplify]: Simplify (* 1 1) into 1
2.206 * [backup-simplify]: Simplify (/ 1 1) into 1
2.206 * [backup-simplify]: Simplify (+ 0 1) into 1
2.206 * [backup-simplify]: Simplify (sqrt 1) into 1
2.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.208 * [backup-simplify]: Simplify (+ 0 0) into 0
2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.208 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.208 * [taylor]: Taking taylor expansion of x in x
2.208 * [backup-simplify]: Simplify 0 into 0
2.209 * [backup-simplify]: Simplify 1 into 1
2.209 * [backup-simplify]: Simplify (* 1 1) into 1
2.209 * [backup-simplify]: Simplify (/ 1 1) into 1
2.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.209 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.209 * [taylor]: Taking taylor expansion of y in x
2.209 * [backup-simplify]: Simplify y into y
2.209 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.209 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.210 * [backup-simplify]: Simplify (+ 1 0) into 1
2.210 * [backup-simplify]: Simplify (sqrt 1) into 1
2.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.212 * [backup-simplify]: Simplify (+ 0 0) into 0
2.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.212 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.212 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.212 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.212 * [taylor]: Taking taylor expansion of x in x
2.212 * [backup-simplify]: Simplify 0 into 0
2.213 * [backup-simplify]: Simplify 1 into 1
2.213 * [backup-simplify]: Simplify (* 1 1) into 1
2.213 * [backup-simplify]: Simplify (/ 1 1) into 1
2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.213 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.213 * [taylor]: Taking taylor expansion of y in x
2.213 * [backup-simplify]: Simplify y into y
2.213 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.214 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.214 * [backup-simplify]: Simplify (+ 1 0) into 1
2.214 * [backup-simplify]: Simplify (sqrt 1) into 1
2.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.216 * [backup-simplify]: Simplify (+ 0 0) into 0
2.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.216 * [taylor]: Taking taylor expansion of 1 in y
2.216 * [backup-simplify]: Simplify 1 into 1
2.217 * [taylor]: Taking taylor expansion of 0 in y
2.217 * [backup-simplify]: Simplify 0 into 0
2.217 * [backup-simplify]: Simplify 1 into 1
2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.218 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.220 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.220 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y 2)) in y
2.220 * [taylor]: Taking taylor expansion of 1/2 in y
2.220 * [backup-simplify]: Simplify 1/2 into 1/2
2.220 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.220 * [taylor]: Taking taylor expansion of y in y
2.220 * [backup-simplify]: Simplify 0 into 0
2.220 * [backup-simplify]: Simplify 1 into 1
2.220 * [backup-simplify]: Simplify (* 1 1) into 1
2.221 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.221 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify 0 into 0
2.222 * [backup-simplify]: Simplify 0 into 0
2.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.224 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.225 * [backup-simplify]: Simplify (+ 0 0) into 0
2.225 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.225 * [taylor]: Taking taylor expansion of 0 in y
2.225 * [backup-simplify]: Simplify 0 into 0
2.226 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.227 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify 0 into 0
2.227 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- x))))) into (* -1 x)
2.227 * * * * [progress]: [ 2 / 3 ] generating series at (2)
2.228 * [backup-simplify]: Simplify (hypot (sqrt (+ (* x x) (* y y))) z) into (hypot (sqrt (+ (pow x 2) (pow y 2))) z)
2.228 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in (x y z) around 0
2.228 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in z
2.228 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)))
2.228 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in z
2.228 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in z
2.228 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z
2.228 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z
2.228 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.228 * [taylor]: Taking taylor expansion of x in z
2.228 * [backup-simplify]: Simplify x into x
2.228 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.228 * [taylor]: Taking taylor expansion of y in z
2.229 * [backup-simplify]: Simplify y into y
2.229 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.229 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.229 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.229 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.229 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.229 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.230 * [backup-simplify]: Simplify (+ 0 0) into 0
2.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.231 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in z
2.231 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in z
2.231 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.231 * [taylor]: Taking taylor expansion of x in z
2.231 * [backup-simplify]: Simplify x into x
2.231 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.231 * [taylor]: Taking taylor expansion of y in z
2.231 * [backup-simplify]: Simplify y into y
2.231 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.231 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.232 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
2.232 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.232 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.232 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.233 * [backup-simplify]: Simplify (+ 0 0) into 0
2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.233 * [taylor]: Taking taylor expansion of (* z z) in z
2.233 * [taylor]: Taking taylor expansion of z in z
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.233 * [taylor]: Taking taylor expansion of z in z
2.233 * [backup-simplify]: Simplify 0 into 0
2.233 * [backup-simplify]: Simplify 1 into 1
2.234 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
2.234 * [backup-simplify]: Simplify (* 0 0) into 0
2.234 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
2.235 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
2.235 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.236 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
2.236 * [backup-simplify]: Simplify (+ 0 0) into 0
2.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
2.236 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in y
2.237 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)))
2.237 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in y
2.237 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in y
2.237 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.237 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.237 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.237 * [taylor]: Taking taylor expansion of x in y
2.237 * [backup-simplify]: Simplify x into x
2.237 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.237 * [taylor]: Taking taylor expansion of y in y
2.237 * [backup-simplify]: Simplify 0 into 0
2.237 * [backup-simplify]: Simplify 1 into 1
2.237 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.237 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.237 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.237 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.238 * [backup-simplify]: Simplify (+ 0 0) into 0
2.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.238 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in y
2.238 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.238 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.238 * [taylor]: Taking taylor expansion of x in y
2.238 * [backup-simplify]: Simplify x into x
2.238 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.238 * [taylor]: Taking taylor expansion of y in y
2.238 * [backup-simplify]: Simplify 0 into 0
2.238 * [backup-simplify]: Simplify 1 into 1
2.238 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.238 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
2.238 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
2.239 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.239 * [backup-simplify]: Simplify (+ 0 0) into 0
2.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
2.239 * [taylor]: Taking taylor expansion of (* z z) in y
2.239 * [taylor]: Taking taylor expansion of z in y
2.239 * [backup-simplify]: Simplify z into z
2.239 * [taylor]: Taking taylor expansion of z in y
2.239 * [backup-simplify]: Simplify z into z
2.239 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.239 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.240 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
2.240 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
2.240 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.240 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.240 * [backup-simplify]: Simplify (+ 0 0) into 0
2.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
2.241 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x
2.241 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)))
2.241 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x
2.241 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x
2.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.241 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.241 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.241 * [taylor]: Taking taylor expansion of x in x
2.241 * [backup-simplify]: Simplify 0 into 0
2.241 * [backup-simplify]: Simplify 1 into 1
2.241 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.241 * [taylor]: Taking taylor expansion of y in x
2.241 * [backup-simplify]: Simplify y into y
2.241 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.241 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.241 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.242 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.242 * [backup-simplify]: Simplify (+ 0 0) into 0
2.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.242 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.242 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.242 * [taylor]: Taking taylor expansion of x in x
2.242 * [backup-simplify]: Simplify 0 into 0
2.242 * [backup-simplify]: Simplify 1 into 1
2.242 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.242 * [taylor]: Taking taylor expansion of y in x
2.242 * [backup-simplify]: Simplify y into y
2.242 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.243 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.243 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.243 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.243 * [backup-simplify]: Simplify (+ 0 0) into 0
2.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.243 * [taylor]: Taking taylor expansion of (* z z) in x
2.243 * [taylor]: Taking taylor expansion of z in x
2.243 * [backup-simplify]: Simplify z into z
2.243 * [taylor]: Taking taylor expansion of z in x
2.243 * [backup-simplify]: Simplify z into z
2.243 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.243 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.244 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.244 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.244 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.244 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.244 * [backup-simplify]: Simplify (+ 0 0) into 0
2.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.245 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (pow x 2) (pow y 2))) z) in x
2.245 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)))
2.245 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) (* z z)) in x
2.245 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) in x
2.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.245 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.245 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.245 * [taylor]: Taking taylor expansion of x in x
2.245 * [backup-simplify]: Simplify 0 into 0
2.245 * [backup-simplify]: Simplify 1 into 1
2.245 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.245 * [taylor]: Taking taylor expansion of y in x
2.245 * [backup-simplify]: Simplify y into y
2.245 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.245 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.245 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.245 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.246 * [backup-simplify]: Simplify (+ 0 0) into 0
2.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.246 * [taylor]: Taking taylor expansion of (sqrt (+ (pow x 2) (pow y 2))) in x
2.246 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.246 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.246 * [taylor]: Taking taylor expansion of x in x
2.246 * [backup-simplify]: Simplify 0 into 0
2.246 * [backup-simplify]: Simplify 1 into 1
2.246 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.246 * [taylor]: Taking taylor expansion of y in x
2.246 * [backup-simplify]: Simplify y into y
2.246 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.246 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.246 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
2.246 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.247 * [backup-simplify]: Simplify (+ 0 0) into 0
2.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
2.247 * [taylor]: Taking taylor expansion of (* z z) in x
2.247 * [taylor]: Taking taylor expansion of z in x
2.247 * [backup-simplify]: Simplify z into z
2.247 * [taylor]: Taking taylor expansion of z in x
2.247 * [backup-simplify]: Simplify z into z
2.247 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.247 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.247 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
2.248 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
2.248 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.248 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.248 * [backup-simplify]: Simplify (+ 0 0) into 0
2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
2.248 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
2.249 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.249 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.249 * [taylor]: Taking taylor expansion of y in y
2.249 * [backup-simplify]: Simplify 0 into 0
2.249 * [backup-simplify]: Simplify 1 into 1
2.249 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.249 * [taylor]: Taking taylor expansion of z in y
2.249 * [backup-simplify]: Simplify z into z
2.249 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.249 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.249 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
2.249 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.249 * [backup-simplify]: Simplify (+ 0 0) into 0
2.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
2.250 * [taylor]: Taking taylor expansion of z in z
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [taylor]: Taking taylor expansion of 0 in y
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [taylor]: Taking taylor expansion of 0 in z
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [taylor]: Taking taylor expansion of 0 in z
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 0 into 0
2.250 * [backup-simplify]: Simplify 1 into 1
2.250 * [backup-simplify]: Simplify (* 1 1) into 1
2.251 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.251 * [backup-simplify]: Simplify (+ 1 0) into 1
2.252 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.252 * [backup-simplify]: Simplify (* 1 1) into 1
2.252 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.253 * [backup-simplify]: Simplify (+ 1 0) into 1
2.253 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
2.254 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
2.254 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.255 * [backup-simplify]: Simplify (+ 1 0) into 1
2.255 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2)))))
2.256 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
2.256 * [taylor]: Taking taylor expansion of 1/2 in y
2.256 * [backup-simplify]: Simplify 1/2 into 1/2
2.256 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
2.256 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
2.256 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
2.256 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.256 * [taylor]: Taking taylor expansion of y in y
2.256 * [backup-simplify]: Simplify 0 into 0
2.256 * [backup-simplify]: Simplify 1 into 1
2.256 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.256 * [taylor]: Taking taylor expansion of z in y
2.256 * [backup-simplify]: Simplify z into z
2.256 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.256 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
2.256 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.256 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
2.256 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.257 * [backup-simplify]: Simplify (+ 0 0) into 0
2.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
2.257 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
2.257 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.257 * [taylor]: Taking taylor expansion of 1/2 in z
2.257 * [backup-simplify]: Simplify 1/2 into 1/2
2.257 * [taylor]: Taking taylor expansion of z in z
2.257 * [backup-simplify]: Simplify 0 into 0
2.257 * [backup-simplify]: Simplify 1 into 1
2.258 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.259 * [backup-simplify]: Simplify 0 into 0
2.259 * [taylor]: Taking taylor expansion of 0 in z
2.259 * [backup-simplify]: Simplify 0 into 0
2.259 * [backup-simplify]: Simplify 0 into 0
2.259 * [backup-simplify]: Simplify (* 1 1) into 1
2.259 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
2.260 * [backup-simplify]: Simplify (+ 1 0) into 1
2.260 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
2.260 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
2.260 * [taylor]: Taking taylor expansion of 1/2 in z
2.260 * [backup-simplify]: Simplify 1/2 into 1/2
2.260 * [taylor]: Taking taylor expansion of z in z
2.260 * [backup-simplify]: Simplify 0 into 0
2.260 * [backup-simplify]: Simplify 1 into 1
2.261 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify 0 into 0
2.262 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
2.262 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ 1 z)) into (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z))
2.262 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in (x y z) around 0
2.262 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in z
2.263 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))))
2.263 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in z
2.263 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z
2.263 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z
2.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z
2.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.263 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.263 * [taylor]: Taking taylor expansion of x in z
2.263 * [backup-simplify]: Simplify x into x
2.263 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.263 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.263 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.263 * [taylor]: Taking taylor expansion of y in z
2.263 * [backup-simplify]: Simplify y into y
2.263 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.263 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.264 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.264 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.264 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.265 * [backup-simplify]: Simplify (+ 0 0) into 0
2.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
2.265 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z
2.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z
2.265 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.265 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.265 * [taylor]: Taking taylor expansion of x in z
2.265 * [backup-simplify]: Simplify x into x
2.265 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.266 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.266 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.266 * [taylor]: Taking taylor expansion of y in z
2.266 * [backup-simplify]: Simplify y into y
2.266 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.266 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.266 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.266 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.266 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.267 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.267 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.267 * [backup-simplify]: Simplify (+ 0 0) into 0
2.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
2.268 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
2.268 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.268 * [taylor]: Taking taylor expansion of z in z
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.268 * [backup-simplify]: Simplify (/ 1 1) into 1
2.268 * [taylor]: Taking taylor expansion of (/ 1 z) in z
2.268 * [taylor]: Taking taylor expansion of z in z
2.268 * [backup-simplify]: Simplify 0 into 0
2.268 * [backup-simplify]: Simplify 1 into 1
2.269 * [backup-simplify]: Simplify (/ 1 1) into 1
2.269 * [backup-simplify]: Simplify (* 1 1) into 1
2.269 * [backup-simplify]: Simplify (+ 0 1) into 1
2.270 * [backup-simplify]: Simplify (sqrt 1) into 1
2.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.272 * [backup-simplify]: Simplify (+ 0 0) into 0
2.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.272 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in y
2.272 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))))
2.272 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in y
2.272 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
2.272 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.272 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.272 * [taylor]: Taking taylor expansion of x in y
2.272 * [backup-simplify]: Simplify x into x
2.273 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.273 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.273 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.273 * [taylor]: Taking taylor expansion of y in y
2.273 * [backup-simplify]: Simplify 0 into 0
2.273 * [backup-simplify]: Simplify 1 into 1
2.273 * [backup-simplify]: Simplify (* 1 1) into 1
2.273 * [backup-simplify]: Simplify (/ 1 1) into 1
2.274 * [backup-simplify]: Simplify (+ 0 1) into 1
2.274 * [backup-simplify]: Simplify (sqrt 1) into 1
2.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.275 * [backup-simplify]: Simplify (+ 0 0) into 0
2.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.276 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.276 * [taylor]: Taking taylor expansion of x in y
2.276 * [backup-simplify]: Simplify x into x
2.276 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.276 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.276 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.276 * [taylor]: Taking taylor expansion of y in y
2.276 * [backup-simplify]: Simplify 0 into 0
2.277 * [backup-simplify]: Simplify 1 into 1
2.277 * [backup-simplify]: Simplify (* 1 1) into 1
2.277 * [backup-simplify]: Simplify (/ 1 1) into 1
2.278 * [backup-simplify]: Simplify (+ 0 1) into 1
2.278 * [backup-simplify]: Simplify (sqrt 1) into 1
2.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.279 * [backup-simplify]: Simplify (+ 0 0) into 0
2.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.280 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
2.280 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.280 * [taylor]: Taking taylor expansion of z in y
2.280 * [backup-simplify]: Simplify z into z
2.280 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.280 * [taylor]: Taking taylor expansion of (/ 1 z) in y
2.280 * [taylor]: Taking taylor expansion of z in y
2.280 * [backup-simplify]: Simplify z into z
2.280 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.281 * [backup-simplify]: Simplify (* 1 1) into 1
2.281 * [backup-simplify]: Simplify (+ 1 0) into 1
2.281 * [backup-simplify]: Simplify (sqrt 1) into 1
2.282 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.282 * [backup-simplify]: Simplify (+ 0 0) into 0
2.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.283 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x
2.283 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))))
2.283 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x
2.283 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
2.283 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.283 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.283 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.283 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.283 * [taylor]: Taking taylor expansion of x in x
2.283 * [backup-simplify]: Simplify 0 into 0
2.283 * [backup-simplify]: Simplify 1 into 1
2.283 * [backup-simplify]: Simplify (* 1 1) into 1
2.284 * [backup-simplify]: Simplify (/ 1 1) into 1
2.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.284 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.284 * [taylor]: Taking taylor expansion of y in x
2.284 * [backup-simplify]: Simplify y into y
2.284 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.284 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.284 * [backup-simplify]: Simplify (+ 1 0) into 1
2.285 * [backup-simplify]: Simplify (sqrt 1) into 1
2.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.286 * [backup-simplify]: Simplify (+ 0 0) into 0
2.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.290 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.290 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.290 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.290 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.290 * [taylor]: Taking taylor expansion of x in x
2.290 * [backup-simplify]: Simplify 0 into 0
2.290 * [backup-simplify]: Simplify 1 into 1
2.291 * [backup-simplify]: Simplify (* 1 1) into 1
2.291 * [backup-simplify]: Simplify (/ 1 1) into 1
2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.291 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.291 * [taylor]: Taking taylor expansion of y in x
2.292 * [backup-simplify]: Simplify y into y
2.292 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.292 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.292 * [backup-simplify]: Simplify (+ 1 0) into 1
2.292 * [backup-simplify]: Simplify (sqrt 1) into 1
2.293 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.294 * [backup-simplify]: Simplify (+ 0 0) into 0
2.294 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.294 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
2.294 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.294 * [taylor]: Taking taylor expansion of z in x
2.294 * [backup-simplify]: Simplify z into z
2.295 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.295 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.295 * [taylor]: Taking taylor expansion of z in x
2.295 * [backup-simplify]: Simplify z into z
2.295 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.295 * [backup-simplify]: Simplify (* 1 1) into 1
2.295 * [backup-simplify]: Simplify (+ 1 0) into 1
2.296 * [backup-simplify]: Simplify (sqrt 1) into 1
2.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.296 * [backup-simplify]: Simplify (+ 0 0) into 0
2.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.297 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ 1 z)) in x
2.297 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))))
2.297 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ 1 z) (/ 1 z))) in x
2.297 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
2.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.297 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.297 * [taylor]: Taking taylor expansion of x in x
2.297 * [backup-simplify]: Simplify 0 into 0
2.297 * [backup-simplify]: Simplify 1 into 1
2.298 * [backup-simplify]: Simplify (* 1 1) into 1
2.298 * [backup-simplify]: Simplify (/ 1 1) into 1
2.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.298 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.298 * [taylor]: Taking taylor expansion of y in x
2.298 * [backup-simplify]: Simplify y into y
2.298 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.298 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.299 * [backup-simplify]: Simplify (+ 1 0) into 1
2.299 * [backup-simplify]: Simplify (sqrt 1) into 1
2.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.300 * [backup-simplify]: Simplify (+ 0 0) into 0
2.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.301 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.301 * [taylor]: Taking taylor expansion of x in x
2.301 * [backup-simplify]: Simplify 0 into 0
2.301 * [backup-simplify]: Simplify 1 into 1
2.301 * [backup-simplify]: Simplify (* 1 1) into 1
2.302 * [backup-simplify]: Simplify (/ 1 1) into 1
2.302 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.302 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.302 * [taylor]: Taking taylor expansion of y in x
2.302 * [backup-simplify]: Simplify y into y
2.302 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.302 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.302 * [backup-simplify]: Simplify (+ 1 0) into 1
2.303 * [backup-simplify]: Simplify (sqrt 1) into 1
2.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.304 * [backup-simplify]: Simplify (+ 0 0) into 0
2.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.305 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
2.305 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.305 * [taylor]: Taking taylor expansion of z in x
2.305 * [backup-simplify]: Simplify z into z
2.305 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.305 * [taylor]: Taking taylor expansion of (/ 1 z) in x
2.305 * [taylor]: Taking taylor expansion of z in x
2.305 * [backup-simplify]: Simplify z into z
2.305 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
2.305 * [backup-simplify]: Simplify (* 1 1) into 1
2.306 * [backup-simplify]: Simplify (+ 1 0) into 1
2.306 * [backup-simplify]: Simplify (sqrt 1) into 1
2.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.307 * [backup-simplify]: Simplify (+ 0 0) into 0
2.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.307 * [taylor]: Taking taylor expansion of 1 in y
2.307 * [backup-simplify]: Simplify 1 into 1
2.307 * [taylor]: Taking taylor expansion of 0 in y
2.307 * [backup-simplify]: Simplify 0 into 0
2.308 * [taylor]: Taking taylor expansion of 1 in z
2.308 * [backup-simplify]: Simplify 1 into 1
2.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.309 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.310 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.312 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.313 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.313 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
2.314 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2))
2.314 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.315 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.315 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.315 * [taylor]: Taking taylor expansion of 1/2 in y
2.315 * [backup-simplify]: Simplify 1/2 into 1/2
2.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.315 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.315 * [taylor]: Taking taylor expansion of z in y
2.315 * [backup-simplify]: Simplify z into z
2.315 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.315 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.315 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.315 * [taylor]: Taking taylor expansion of y in y
2.316 * [backup-simplify]: Simplify 0 into 0
2.316 * [backup-simplify]: Simplify 1 into 1
2.316 * [backup-simplify]: Simplify (* 1 1) into 1
2.316 * [backup-simplify]: Simplify (/ 1 1) into 1
2.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.317 * [backup-simplify]: Simplify (+ 0 0) into 0
2.318 * [backup-simplify]: Simplify (+ 0 1) into 1
2.318 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.318 * [taylor]: Taking taylor expansion of 0 in z
2.318 * [backup-simplify]: Simplify 0 into 0
2.318 * [taylor]: Taking taylor expansion of 0 in z
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [taylor]: Taking taylor expansion of 0 in z
2.319 * [backup-simplify]: Simplify 0 into 0
2.319 * [backup-simplify]: Simplify 1 into 1
2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.320 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.321 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.321 * [backup-simplify]: Simplify (+ 0 0) into 0
2.321 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.323 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.324 * [backup-simplify]: Simplify (+ 0 0) into 0
2.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
2.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
2.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
2.325 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0
2.326 * [backup-simplify]: Simplify (+ 0 0) into 0
2.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.326 * [taylor]: Taking taylor expansion of 0 in y
2.327 * [backup-simplify]: Simplify 0 into 0
2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.328 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.329 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.329 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.329 * [taylor]: Taking taylor expansion of 1/2 in z
2.329 * [backup-simplify]: Simplify 1/2 into 1/2
2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.329 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.329 * [taylor]: Taking taylor expansion of z in z
2.329 * [backup-simplify]: Simplify 0 into 0
2.329 * [backup-simplify]: Simplify 1 into 1
2.330 * [backup-simplify]: Simplify (* 1 1) into 1
2.330 * [backup-simplify]: Simplify (/ 1 1) into 1
2.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [taylor]: Taking taylor expansion of 0 in z
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [taylor]: Taking taylor expansion of 0 in z
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 0 into 0
2.332 * [backup-simplify]: Simplify 0 into 0
2.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.334 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.335 * [backup-simplify]: Simplify (+ 0 0) into 0
2.336 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.338 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.338 * [backup-simplify]: Simplify (+ 0 0) into 0
2.340 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.341 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
2.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
2.341 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
2.342 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0
2.342 * [backup-simplify]: Simplify (+ 0 0) into 0
2.343 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.343 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.343 * [taylor]: Taking taylor expansion of -1/2 in y
2.344 * [backup-simplify]: Simplify -1/2 into -1/2
2.344 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.344 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.344 * [taylor]: Taking taylor expansion of 1/4 in y
2.344 * [backup-simplify]: Simplify 1/4 into 1/4
2.344 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.344 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.344 * [taylor]: Taking taylor expansion of z in y
2.344 * [backup-simplify]: Simplify z into z
2.344 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.344 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.344 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.344 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.344 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.344 * [taylor]: Taking taylor expansion of 1/2 in y
2.344 * [backup-simplify]: Simplify 1/2 into 1/2
2.344 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.344 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.344 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.344 * [taylor]: Taking taylor expansion of z in y
2.344 * [backup-simplify]: Simplify z into z
2.344 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.344 * [taylor]: Taking taylor expansion of y in y
2.344 * [backup-simplify]: Simplify 0 into 0
2.344 * [backup-simplify]: Simplify 1 into 1
2.344 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.345 * [backup-simplify]: Simplify (* 1 1) into 1
2.345 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.345 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.345 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.345 * [taylor]: Taking taylor expansion of 1/4 in y
2.345 * [backup-simplify]: Simplify 1/4 into 1/4
2.345 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.345 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.345 * [taylor]: Taking taylor expansion of y in y
2.345 * [backup-simplify]: Simplify 0 into 0
2.345 * [backup-simplify]: Simplify 1 into 1
2.346 * [backup-simplify]: Simplify (* 1 1) into 1
2.346 * [backup-simplify]: Simplify (* 1 1) into 1
2.346 * [backup-simplify]: Simplify (/ 1 1) into 1
2.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.347 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.347 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.355 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.355 * [backup-simplify]: Simplify (+ 0 0) into 0
2.356 * [backup-simplify]: Simplify (+ 0 0) into 0
2.356 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.357 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.357 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.357 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.357 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.358 * [backup-simplify]: Simplify (+ 0 0) into 0
2.358 * [backup-simplify]: Simplify (+ 0 0) into 0
2.358 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.359 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.359 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.360 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.360 * [taylor]: Taking taylor expansion of 0 in z
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [taylor]: Taking taylor expansion of 0 in z
2.360 * [backup-simplify]: Simplify 0 into 0
2.360 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.363 * [backup-simplify]: Simplify (+ 0 0) into 0
2.364 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.364 * [taylor]: Taking taylor expansion of 0 in z
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [taylor]: Taking taylor expansion of 0 in z
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [taylor]: Taking taylor expansion of 0 in z
2.364 * [backup-simplify]: Simplify 0 into 0
2.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.366 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.366 * [backup-simplify]: Simplify 0 into 0
2.366 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
2.366 * [backup-simplify]: Simplify (hypot (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ 1 (- z))) into (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z))
2.366 * [approximate]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in (x y z) around 0
2.367 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in z
2.367 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))))
2.367 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in z
2.367 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in z
2.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z
2.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z
2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.367 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.367 * [taylor]: Taking taylor expansion of x in z
2.367 * [backup-simplify]: Simplify x into x
2.367 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.367 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.367 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.367 * [taylor]: Taking taylor expansion of y in z
2.367 * [backup-simplify]: Simplify y into y
2.367 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.367 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.368 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.368 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.368 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.368 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.369 * [backup-simplify]: Simplify (+ 0 0) into 0
2.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
2.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in z
2.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in z
2.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
2.369 * [taylor]: Taking taylor expansion of (pow x 2) in z
2.369 * [taylor]: Taking taylor expansion of x in z
2.369 * [backup-simplify]: Simplify x into x
2.370 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.370 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.370 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
2.370 * [taylor]: Taking taylor expansion of (pow y 2) in z
2.370 * [taylor]: Taking taylor expansion of y in z
2.370 * [backup-simplify]: Simplify y into y
2.370 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.370 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.370 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.370 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
2.371 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
2.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0
2.371 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.372 * [backup-simplify]: Simplify (+ 0 0) into 0
2.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
2.372 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
2.372 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.372 * [taylor]: Taking taylor expansion of -1 in z
2.372 * [backup-simplify]: Simplify -1 into -1
2.372 * [taylor]: Taking taylor expansion of z in z
2.372 * [backup-simplify]: Simplify 0 into 0
2.372 * [backup-simplify]: Simplify 1 into 1
2.372 * [backup-simplify]: Simplify (/ -1 1) into -1
2.372 * [taylor]: Taking taylor expansion of (/ -1 z) in z
2.372 * [taylor]: Taking taylor expansion of -1 in z
2.372 * [backup-simplify]: Simplify -1 into -1
2.372 * [taylor]: Taking taylor expansion of z in z
2.373 * [backup-simplify]: Simplify 0 into 0
2.373 * [backup-simplify]: Simplify 1 into 1
2.373 * [backup-simplify]: Simplify (/ -1 1) into -1
2.373 * [backup-simplify]: Simplify (* -1 -1) into 1
2.374 * [backup-simplify]: Simplify (+ 0 1) into 1
2.374 * [backup-simplify]: Simplify (sqrt 1) into 1
2.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
2.376 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
2.376 * [backup-simplify]: Simplify (+ 0 0) into 0
2.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.377 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in y
2.377 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))))
2.377 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in y
2.377 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in y
2.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.377 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.377 * [taylor]: Taking taylor expansion of x in y
2.377 * [backup-simplify]: Simplify x into x
2.377 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.377 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.377 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.377 * [taylor]: Taking taylor expansion of y in y
2.377 * [backup-simplify]: Simplify 0 into 0
2.377 * [backup-simplify]: Simplify 1 into 1
2.378 * [backup-simplify]: Simplify (* 1 1) into 1
2.378 * [backup-simplify]: Simplify (/ 1 1) into 1
2.379 * [backup-simplify]: Simplify (+ 0 1) into 1
2.379 * [backup-simplify]: Simplify (sqrt 1) into 1
2.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.380 * [backup-simplify]: Simplify (+ 0 0) into 0
2.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in y
2.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.381 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.381 * [taylor]: Taking taylor expansion of x in y
2.381 * [backup-simplify]: Simplify x into x
2.381 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.381 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.381 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.381 * [taylor]: Taking taylor expansion of y in y
2.381 * [backup-simplify]: Simplify 0 into 0
2.381 * [backup-simplify]: Simplify 1 into 1
2.382 * [backup-simplify]: Simplify (* 1 1) into 1
2.382 * [backup-simplify]: Simplify (/ 1 1) into 1
2.382 * [backup-simplify]: Simplify (+ 0 1) into 1
2.383 * [backup-simplify]: Simplify (sqrt 1) into 1
2.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.384 * [backup-simplify]: Simplify (+ 0 0) into 0
2.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.385 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
2.385 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.385 * [taylor]: Taking taylor expansion of -1 in y
2.385 * [backup-simplify]: Simplify -1 into -1
2.385 * [taylor]: Taking taylor expansion of z in y
2.385 * [backup-simplify]: Simplify z into z
2.385 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.385 * [taylor]: Taking taylor expansion of (/ -1 z) in y
2.385 * [taylor]: Taking taylor expansion of -1 in y
2.385 * [backup-simplify]: Simplify -1 into -1
2.385 * [taylor]: Taking taylor expansion of z in y
2.385 * [backup-simplify]: Simplify z into z
2.385 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.385 * [backup-simplify]: Simplify (* 1 1) into 1
2.386 * [backup-simplify]: Simplify (+ 1 0) into 1
2.386 * [backup-simplify]: Simplify (sqrt 1) into 1
2.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.387 * [backup-simplify]: Simplify (+ 0 0) into 0
2.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.387 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x
2.387 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))))
2.388 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x
2.388 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
2.388 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.388 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.388 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.388 * [taylor]: Taking taylor expansion of x in x
2.388 * [backup-simplify]: Simplify 0 into 0
2.388 * [backup-simplify]: Simplify 1 into 1
2.388 * [backup-simplify]: Simplify (* 1 1) into 1
2.388 * [backup-simplify]: Simplify (/ 1 1) into 1
2.388 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.388 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.388 * [taylor]: Taking taylor expansion of y in x
2.388 * [backup-simplify]: Simplify y into y
2.389 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.389 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.389 * [backup-simplify]: Simplify (+ 1 0) into 1
2.389 * [backup-simplify]: Simplify (sqrt 1) into 1
2.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.391 * [backup-simplify]: Simplify (+ 0 0) into 0
2.391 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.391 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.391 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.391 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.391 * [taylor]: Taking taylor expansion of x in x
2.391 * [backup-simplify]: Simplify 0 into 0
2.391 * [backup-simplify]: Simplify 1 into 1
2.392 * [backup-simplify]: Simplify (* 1 1) into 1
2.392 * [backup-simplify]: Simplify (/ 1 1) into 1
2.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.392 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.392 * [taylor]: Taking taylor expansion of y in x
2.392 * [backup-simplify]: Simplify y into y
2.392 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.392 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.393 * [backup-simplify]: Simplify (+ 1 0) into 1
2.393 * [backup-simplify]: Simplify (sqrt 1) into 1
2.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.394 * [backup-simplify]: Simplify (+ 0 0) into 0
2.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.395 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
2.395 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.395 * [taylor]: Taking taylor expansion of -1 in x
2.395 * [backup-simplify]: Simplify -1 into -1
2.395 * [taylor]: Taking taylor expansion of z in x
2.395 * [backup-simplify]: Simplify z into z
2.395 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.395 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.395 * [taylor]: Taking taylor expansion of -1 in x
2.395 * [backup-simplify]: Simplify -1 into -1
2.395 * [taylor]: Taking taylor expansion of z in x
2.395 * [backup-simplify]: Simplify z into z
2.395 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.396 * [backup-simplify]: Simplify (* 1 1) into 1
2.396 * [backup-simplify]: Simplify (+ 1 0) into 1
2.396 * [backup-simplify]: Simplify (sqrt 1) into 1
2.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.397 * [backup-simplify]: Simplify (+ 0 0) into 0
2.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.398 * [taylor]: Taking taylor expansion of (hypot (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (/ -1 z)) in x
2.398 * [taylor]: Rewrote expression to (sqrt (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))))
2.398 * [taylor]: Taking taylor expansion of (+ (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) (* (/ -1 z) (/ -1 z))) in x
2.398 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))) in x
2.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.398 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.398 * [taylor]: Taking taylor expansion of x in x
2.398 * [backup-simplify]: Simplify 0 into 0
2.398 * [backup-simplify]: Simplify 1 into 1
2.398 * [backup-simplify]: Simplify (* 1 1) into 1
2.399 * [backup-simplify]: Simplify (/ 1 1) into 1
2.399 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.399 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.399 * [taylor]: Taking taylor expansion of y in x
2.399 * [backup-simplify]: Simplify y into y
2.399 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.399 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.399 * [backup-simplify]: Simplify (+ 1 0) into 1
2.400 * [backup-simplify]: Simplify (sqrt 1) into 1
2.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.401 * [backup-simplify]: Simplify (+ 0 0) into 0
2.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.402 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) in x
2.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.402 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.402 * [taylor]: Taking taylor expansion of x in x
2.402 * [backup-simplify]: Simplify 0 into 0
2.402 * [backup-simplify]: Simplify 1 into 1
2.402 * [backup-simplify]: Simplify (* 1 1) into 1
2.402 * [backup-simplify]: Simplify (/ 1 1) into 1
2.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.403 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.403 * [taylor]: Taking taylor expansion of y in x
2.403 * [backup-simplify]: Simplify y into y
2.403 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.403 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.403 * [backup-simplify]: Simplify (+ 1 0) into 1
2.403 * [backup-simplify]: Simplify (sqrt 1) into 1
2.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.405 * [backup-simplify]: Simplify (+ 0 0) into 0
2.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.405 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
2.405 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.405 * [taylor]: Taking taylor expansion of -1 in x
2.405 * [backup-simplify]: Simplify -1 into -1
2.406 * [taylor]: Taking taylor expansion of z in x
2.406 * [backup-simplify]: Simplify z into z
2.406 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.406 * [taylor]: Taking taylor expansion of (/ -1 z) in x
2.406 * [taylor]: Taking taylor expansion of -1 in x
2.406 * [backup-simplify]: Simplify -1 into -1
2.406 * [taylor]: Taking taylor expansion of z in x
2.406 * [backup-simplify]: Simplify z into z
2.406 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
2.406 * [backup-simplify]: Simplify (* 1 1) into 1
2.406 * [backup-simplify]: Simplify (+ 1 0) into 1
2.407 * [backup-simplify]: Simplify (sqrt 1) into 1
2.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.408 * [backup-simplify]: Simplify (+ 0 0) into 0
2.408 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.408 * [taylor]: Taking taylor expansion of 1 in y
2.408 * [backup-simplify]: Simplify 1 into 1
2.408 * [taylor]: Taking taylor expansion of 0 in y
2.408 * [backup-simplify]: Simplify 0 into 0
2.408 * [taylor]: Taking taylor expansion of 1 in z
2.408 * [backup-simplify]: Simplify 1 into 1
2.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.410 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.411 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.416 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.417 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
2.418 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
2.418 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2))
2.418 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
2.419 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))))
2.419 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
2.419 * [taylor]: Taking taylor expansion of 1/2 in y
2.419 * [backup-simplify]: Simplify 1/2 into 1/2
2.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
2.419 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
2.419 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.419 * [taylor]: Taking taylor expansion of z in y
2.419 * [backup-simplify]: Simplify z into z
2.419 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.420 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.420 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.420 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.420 * [taylor]: Taking taylor expansion of y in y
2.420 * [backup-simplify]: Simplify 0 into 0
2.420 * [backup-simplify]: Simplify 1 into 1
2.420 * [backup-simplify]: Simplify (* 1 1) into 1
2.420 * [backup-simplify]: Simplify (/ 1 1) into 1
2.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.422 * [backup-simplify]: Simplify (+ 0 0) into 0
2.422 * [backup-simplify]: Simplify (+ 0 1) into 1
2.423 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.423 * [taylor]: Taking taylor expansion of 0 in z
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [taylor]: Taking taylor expansion of 0 in z
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [taylor]: Taking taylor expansion of 0 in z
2.423 * [backup-simplify]: Simplify 0 into 0
2.423 * [backup-simplify]: Simplify 1 into 1
2.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.424 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.425 * [backup-simplify]: Simplify (+ 0 0) into 0
2.426 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.427 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.428 * [backup-simplify]: Simplify (+ 0 0) into 0
2.429 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
2.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
2.430 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
2.430 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
2.430 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0
2.430 * [backup-simplify]: Simplify (+ 0 0) into 0
2.431 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
2.431 * [taylor]: Taking taylor expansion of 0 in y
2.431 * [backup-simplify]: Simplify 0 into 0
2.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.433 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
2.434 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
2.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
2.434 * [taylor]: Taking taylor expansion of 1/2 in z
2.434 * [backup-simplify]: Simplify 1/2 into 1/2
2.434 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
2.434 * [taylor]: Taking taylor expansion of (pow z 2) in z
2.434 * [taylor]: Taking taylor expansion of z in z
2.434 * [backup-simplify]: Simplify 0 into 0
2.434 * [backup-simplify]: Simplify 1 into 1
2.434 * [backup-simplify]: Simplify (* 1 1) into 1
2.434 * [backup-simplify]: Simplify (/ 1 1) into 1
2.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.436 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [taylor]: Taking taylor expansion of 0 in z
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [taylor]: Taking taylor expansion of 0 in z
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 0 into 0
2.436 * [backup-simplify]: Simplify 0 into 0
2.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.439 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.439 * [backup-simplify]: Simplify (+ 0 0) into 0
2.440 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.442 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.443 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.443 * [backup-simplify]: Simplify (+ 0 0) into 0
2.444 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
2.446 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
2.446 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
2.446 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
2.447 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0
2.447 * [backup-simplify]: Simplify (+ 0 0) into 0
2.448 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))))
2.449 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) in y
2.449 * [taylor]: Taking taylor expansion of -1/2 in y
2.449 * [backup-simplify]: Simplify -1/2 into -1/2
2.449 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4))))) in y
2.449 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
2.449 * [taylor]: Taking taylor expansion of 1/4 in y
2.449 * [backup-simplify]: Simplify 1/4 into 1/4
2.449 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
2.449 * [taylor]: Taking taylor expansion of (pow z 4) in y
2.449 * [taylor]: Taking taylor expansion of z in y
2.449 * [backup-simplify]: Simplify z into z
2.449 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.449 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
2.449 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
2.449 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
2.449 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
2.449 * [taylor]: Taking taylor expansion of 1/2 in y
2.449 * [backup-simplify]: Simplify 1/2 into 1/2
2.449 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
2.449 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
2.449 * [taylor]: Taking taylor expansion of (pow z 2) in y
2.449 * [taylor]: Taking taylor expansion of z in y
2.449 * [backup-simplify]: Simplify z into z
2.450 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.450 * [taylor]: Taking taylor expansion of y in y
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 1 into 1
2.450 * [backup-simplify]: Simplify (* z z) into (pow z 2)
2.450 * [backup-simplify]: Simplify (* 1 1) into 1
2.450 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
2.450 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
2.450 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
2.450 * [taylor]: Taking taylor expansion of 1/4 in y
2.450 * [backup-simplify]: Simplify 1/4 into 1/4
2.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
2.450 * [taylor]: Taking taylor expansion of (pow y 4) in y
2.450 * [taylor]: Taking taylor expansion of y in y
2.450 * [backup-simplify]: Simplify 0 into 0
2.450 * [backup-simplify]: Simplify 1 into 1
2.451 * [backup-simplify]: Simplify (* 1 1) into 1
2.451 * [backup-simplify]: Simplify (* 1 1) into 1
2.451 * [backup-simplify]: Simplify (/ 1 1) into 1
2.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.452 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.453 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
2.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.453 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
2.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.461 * [backup-simplify]: Simplify (+ 0 0) into 0
2.461 * [backup-simplify]: Simplify (+ 0 0) into 0
2.461 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
2.462 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
2.462 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
2.462 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
2.463 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
2.463 * [backup-simplify]: Simplify (+ 0 0) into 0
2.464 * [backup-simplify]: Simplify (+ 0 0) into 0
2.464 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
2.464 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.465 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
2.466 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
2.466 * [taylor]: Taking taylor expansion of 0 in z
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [taylor]: Taking taylor expansion of 0 in z
2.466 * [backup-simplify]: Simplify 0 into 0
2.466 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
2.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.468 * [backup-simplify]: Simplify (+ 0 0) into 0
2.469 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
2.469 * [taylor]: Taking taylor expansion of 0 in z
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [taylor]: Taking taylor expansion of 0 in z
2.469 * [backup-simplify]: Simplify 0 into 0
2.469 * [taylor]: Taking taylor expansion of 0 in z
2.469 * [backup-simplify]: Simplify 0 into 0
2.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.472 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
2.472 * [backup-simplify]: Simplify 0 into 0
2.472 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
2.472 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
2.472 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow x 2) (pow y 2))
2.472 * [approximate]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in (x y) around 0
2.472 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in y
2.472 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.472 * [taylor]: Taking taylor expansion of x in y
2.473 * [backup-simplify]: Simplify x into x
2.473 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.473 * [taylor]: Taking taylor expansion of y in y
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.473 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.473 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.473 * [taylor]: Taking taylor expansion of x in x
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.473 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.473 * [taylor]: Taking taylor expansion of y in x
2.473 * [backup-simplify]: Simplify y into y
2.473 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow y 2)) in x
2.473 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.473 * [taylor]: Taking taylor expansion of x in x
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.473 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.473 * [taylor]: Taking taylor expansion of y in x
2.473 * [backup-simplify]: Simplify y into y
2.473 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.473 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
2.473 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.473 * [taylor]: Taking taylor expansion of y in y
2.473 * [backup-simplify]: Simplify 0 into 0
2.473 * [backup-simplify]: Simplify 1 into 1
2.474 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.474 * [backup-simplify]: Simplify (+ 0 0) into 0
2.474 * [taylor]: Taking taylor expansion of 0 in y
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify 0 into 0
2.474 * [backup-simplify]: Simplify (* 1 1) into 1
2.475 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.475 * [backup-simplify]: Simplify (+ 1 0) into 1
2.475 * [taylor]: Taking taylor expansion of 1 in y
2.475 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify 1 into 1
2.475 * [backup-simplify]: Simplify 0 into 0
2.476 * [backup-simplify]: Simplify (* 1 1) into 1
2.476 * [backup-simplify]: Simplify 1 into 1
2.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.477 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0
2.477 * [backup-simplify]: Simplify (+ 0 0) into 0
2.477 * [taylor]: Taking taylor expansion of 0 in y
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.478 * [backup-simplify]: Simplify 0 into 0
2.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.480 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0
2.481 * [backup-simplify]: Simplify (+ 0 0) into 0
2.481 * [taylor]: Taking taylor expansion of 0 in y
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify 0 into 0
2.481 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow x 2) (pow y 2))
2.481 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.482 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.482 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.482 * [taylor]: Taking taylor expansion of x in y
2.482 * [backup-simplify]: Simplify x into x
2.482 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.482 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.482 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.482 * [taylor]: Taking taylor expansion of y in y
2.482 * [backup-simplify]: Simplify 0 into 0
2.482 * [backup-simplify]: Simplify 1 into 1
2.482 * [backup-simplify]: Simplify (* 1 1) into 1
2.483 * [backup-simplify]: Simplify (/ 1 1) into 1
2.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.483 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.483 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.483 * [taylor]: Taking taylor expansion of x in x
2.483 * [backup-simplify]: Simplify 0 into 0
2.483 * [backup-simplify]: Simplify 1 into 1
2.483 * [backup-simplify]: Simplify (* 1 1) into 1
2.484 * [backup-simplify]: Simplify (/ 1 1) into 1
2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.484 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.484 * [taylor]: Taking taylor expansion of y in x
2.484 * [backup-simplify]: Simplify y into y
2.484 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.484 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.484 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.484 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.484 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.484 * [taylor]: Taking taylor expansion of x in x
2.484 * [backup-simplify]: Simplify 0 into 0
2.484 * [backup-simplify]: Simplify 1 into 1
2.484 * [backup-simplify]: Simplify (* 1 1) into 1
2.485 * [backup-simplify]: Simplify (/ 1 1) into 1
2.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.485 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.485 * [taylor]: Taking taylor expansion of y in x
2.485 * [backup-simplify]: Simplify y into y
2.485 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.485 * [backup-simplify]: Simplify (+ 1 0) into 1
2.485 * [taylor]: Taking taylor expansion of 1 in y
2.485 * [backup-simplify]: Simplify 1 into 1
2.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.487 * [backup-simplify]: Simplify (+ 0 0) into 0
2.487 * [taylor]: Taking taylor expansion of 0 in y
2.487 * [backup-simplify]: Simplify 0 into 0
2.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.489 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.489 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.489 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.489 * [taylor]: Taking taylor expansion of y in y
2.489 * [backup-simplify]: Simplify 0 into 0
2.489 * [backup-simplify]: Simplify 1 into 1
2.489 * [backup-simplify]: Simplify (* 1 1) into 1
2.490 * [backup-simplify]: Simplify (/ 1 1) into 1
2.490 * [backup-simplify]: Simplify 1 into 1
2.490 * [backup-simplify]: Simplify 1 into 1
2.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.491 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.492 * [backup-simplify]: Simplify (+ 0 0) into 0
2.492 * [taylor]: Taking taylor expansion of 0 in y
2.492 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 0 into 0
2.493 * [backup-simplify]: Simplify 0 into 0
2.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.495 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.496 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.496 * [backup-simplify]: Simplify (+ 0 0) into 0
2.496 * [taylor]: Taking taylor expansion of 0 in y
2.496 * [backup-simplify]: Simplify 0 into 0
2.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify 0 into 0
2.498 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow x 2) (pow y 2))
2.498 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
2.498 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in (x y) around 0
2.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in y
2.498 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
2.498 * [taylor]: Taking taylor expansion of (pow x 2) in y
2.499 * [taylor]: Taking taylor expansion of x in y
2.499 * [backup-simplify]: Simplify x into x
2.499 * [backup-simplify]: Simplify (* x x) into (pow x 2)
2.499 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
2.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.499 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.499 * [taylor]: Taking taylor expansion of y in y
2.499 * [backup-simplify]: Simplify 0 into 0
2.499 * [backup-simplify]: Simplify 1 into 1
2.499 * [backup-simplify]: Simplify (* 1 1) into 1
2.499 * [backup-simplify]: Simplify (/ 1 1) into 1
2.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.500 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.500 * [taylor]: Taking taylor expansion of x in x
2.500 * [backup-simplify]: Simplify 0 into 0
2.500 * [backup-simplify]: Simplify 1 into 1
2.500 * [backup-simplify]: Simplify (* 1 1) into 1
2.500 * [backup-simplify]: Simplify (/ 1 1) into 1
2.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.500 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.500 * [taylor]: Taking taylor expansion of y in x
2.500 * [backup-simplify]: Simplify y into y
2.500 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.501 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) in x
2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
2.501 * [taylor]: Taking taylor expansion of (pow x 2) in x
2.501 * [taylor]: Taking taylor expansion of x in x
2.501 * [backup-simplify]: Simplify 0 into 0
2.501 * [backup-simplify]: Simplify 1 into 1
2.501 * [backup-simplify]: Simplify (* 1 1) into 1
2.501 * [backup-simplify]: Simplify (/ 1 1) into 1
2.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
2.501 * [taylor]: Taking taylor expansion of (pow y 2) in x
2.501 * [taylor]: Taking taylor expansion of y in x
2.501 * [backup-simplify]: Simplify y into y
2.502 * [backup-simplify]: Simplify (* y y) into (pow y 2)
2.502 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
2.502 * [backup-simplify]: Simplify (+ 1 0) into 1
2.502 * [taylor]: Taking taylor expansion of 1 in y
2.502 * [backup-simplify]: Simplify 1 into 1
2.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.504 * [backup-simplify]: Simplify (+ 0 0) into 0
2.504 * [taylor]: Taking taylor expansion of 0 in y
2.504 * [backup-simplify]: Simplify 0 into 0
2.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.505 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
2.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
2.505 * [taylor]: Taking taylor expansion of (pow y 2) in y
2.505 * [taylor]: Taking taylor expansion of y in y
2.505 * [backup-simplify]: Simplify 0 into 0
2.505 * [backup-simplify]: Simplify 1 into 1
2.506 * [backup-simplify]: Simplify (* 1 1) into 1
2.506 * [backup-simplify]: Simplify (/ 1 1) into 1
2.506 * [backup-simplify]: Simplify 1 into 1
2.506 * [backup-simplify]: Simplify 1 into 1
2.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.508 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
2.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
2.508 * [backup-simplify]: Simplify (+ 0 0) into 0
2.508 * [taylor]: Taking taylor expansion of 0 in y
2.508 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.509 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify 0 into 0
2.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
2.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.512 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
2.512 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
2.512 * [backup-simplify]: Simplify (+ 0 0) into 0
2.512 * [taylor]: Taking taylor expansion of 0 in y
2.512 * [backup-simplify]: Simplify 0 into 0
2.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify 0 into 0
2.514 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow x 2) (pow y 2))
2.514 * * * [progress]: simplifying candidates
2.515 * [simplify]: Simplifying:
  (expm1 (sqrt (+ (* x x) (* y y))))
  (log1p (sqrt (+ (* x x) (* y y))))
  (log (sqrt (+ (* x x) (* y y))))
  (exp (sqrt (+ (* x x) (* y y))))
  (* (cbrt (sqrt (+ (* x x) (* y y)))) (cbrt (sqrt (+ (* x x) (* y y)))))
  (cbrt (sqrt (+ (* x x) (* y y))))
  (* (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (sqrt (+ (* x x) (* y y))))
  (sqrt (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
  (sqrt (cbrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt 1)
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (pow (* x x) 3) (pow (* y y) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))))
  (sqrt (- (* (* x x) (* x x)) (* (* y y) (* y y))))
  (sqrt (- (* x x) (* y y)))
  (/ 1 2)
  (sqrt (sqrt (+ (* x x) (* y y))))
  (sqrt (sqrt (+ (* x x) (* y y))))
  (expm1 (hypot (sqrt (+ (* x x) (* y y))) z))
  (log1p (hypot (sqrt (+ (* x x) (* y y))) z))
  (+ (* (sqrt (+ (* x x) (* y y))) (sqrt (+ (* x x) (* y y)))) (* z z))
  (log (hypot (sqrt (+ (* x x) (* y y))) z))
  (exp (hypot (sqrt (+ (* x x) (* y y))) z))
  (* (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)) (cbrt (hypot (sqrt (+ (* x x) (* y y))) z)))
  (cbrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (* (* (hypot (sqrt (+ (* x x) (* y y))) z) (hypot (sqrt (+ (* x x) (* y y))) z)) (hypot (sqrt (+ (* x x) (* y y))) z))
  (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (sqrt (hypot (sqrt (+ (* x x) (* y y))) z))
  (expm1 (+ (* x x) (* y y)))
  (log1p (+ (* x x) (* y y)))
  (* (exp (* x x)) (exp (* y y)))
  (log (+ (* x x) (* y y)))
  (exp (+ (* x x) (* y y)))
  (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))
  (cbrt (+ (* x x) (* y y)))
  (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (sqrt (+ (* x x) (* y y)))
  (+ (pow (* x x) 3) (pow (* y y) 3))
  (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y))))
  (- (* (* x x) (* x x)) (* (* y y) (* y y)))
  (- (* x x) (* y y))
  y
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
  (+ (pow x 2) (pow y 2))
2.517 * * [simplify]: Extracting # 0 : cost  0
2.517 * * [simplify]: Extracting # 1 : cost  0
2.517 * * [simplify]: Extracting # 2 : cost  0
2.517 * * [simplify]: Extracting # 3 : cost  0
2.518 * * [simplify]: Extracting # 4 : cost  0
2.518 * * [simplify]: Extracting # 5 : cost  0
2.518 * * [simplify]: iteration  0 :  65  enodes  (cost  571 )
2.538 * * [simplify]: Extracting # 0 : cost  0
2.538 * * [simplify]: Extracting # 1 : cost  0
2.538 * * [simplify]: Extracting # 2 : cost  0
2.538 * * [simplify]: Extracting # 3 : cost  0
2.539 * * [simplify]: iteration  1 :  168  enodes  (cost  374 )
2.634 * * [simplify]: Extracting # 0 : cost  0
2.635 * * [simplify]: Extracting # 1 : cost  0
2.641 * * [simplify]: Extracting # 2 : cost  0
2.642 * * [simplify]: Extracting # 3 : cost  0
2.643 * * [simplify]: Extracting # 4 : cost  0
2.644 * * [simplify]: Extracting # 5 : cost  0
2.645 * * [simplify]: iteration  2 :  763  enodes  (cost  312 )
3.108 * * [simplify]: Extracting # 0 : cost  0
3.116 * * [simplify]: Extracting # 1 : cost  0
3.126 * * [simplify]: Extracting # 2 : cost  0
3.135 * * [simplify]: Extracting # 3 : cost  0
3.144 * * [simplify]: Extracting # 4 : cost  0
3.157 * * [simplify]: iteration done:  5001  enodes  (cost  308 )
3.158 * [simplify]: Simplified to:
  (expm1 (hypot x y))
  (log1p (hypot x y))
  (log (hypot x y))
  (exp (hypot x y))
  (* (cbrt (hypot x y)) (cbrt (hypot x y)))
  (cbrt (hypot x y))
  (pow (hypot x y) 3)
  (fabs (cbrt (fma x x (* y y))))
  (sqrt (cbrt (fma x x (* y y))))
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  1
  (hypot x y)
  (hypot (pow y 3) (pow x 3))
  (sqrt (fma (* y y) (- (* y y) (* x x)) (pow x 4)))
  (sqrt (- (pow x 4) (pow y 4)))
  (sqrt (- (* x x) (* y y)))
  1/2
  (sqrt (hypot x y))
  (sqrt (hypot x y))
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (fma z z (fma x x (* y y)))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (pow (hypot (hypot x y) z) 3)
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (expm1 (fma x x (* y y)))
  (log1p (fma x x (* y y)))
  (exp (fma x x (* y y)))
  (* 2 (log (hypot x y)))
  (exp (fma x x (* y y)))
  (* (cbrt (fma x x (* y y))) (cbrt (fma x x (* y y))))
  (cbrt (fma x x (* y y)))
  (pow (hypot x y) 6)
  (hypot x y)
  (hypot x y)
  (+ (pow x 6) (pow y 6))
  (fma (* y y) (- (* y y) (* x x)) (pow x 4))
  (- (pow x 4) (pow y 4))
  (- (* x x) (* y y))
  y
  x
  (- x)
  z
  x
  (- x)
  (fma x x (* y y))
  (fma x x (* y y))
  (fma x x (* y y))
3.158 * * * [progress]: adding candidates to table
3.416 * * [progress]: iteration 3 / 4
3.416 * * * [progress]: picking best candidate
3.425 * * * * [pick]: Picked  #<alt (λ (x y z) (hypot (hypot x y) z))>
3.425 * * * [progress]: localizing error
3.437 * * * [progress]: generating rewritten candidates
3.437 * * * * [progress]: [ 1 / 1 ] rewriting at (2)
3.438 * * * [progress]: generating series expansions
3.438 * * * * [progress]: [ 1 / 1 ] generating series at (2)
3.438 * [backup-simplify]: Simplify (hypot (hypot x y) z) into (hypot (hypot x y) z)
3.438 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0
3.438 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z
3.438 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
3.438 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z
3.438 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
3.438 * [taylor]: Taking taylor expansion of (hypot x y) in z
3.438 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
3.438 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
3.438 * [taylor]: Taking taylor expansion of (* x x) in z
3.438 * [taylor]: Taking taylor expansion of x in z
3.438 * [backup-simplify]: Simplify x into x
3.438 * [taylor]: Taking taylor expansion of x in z
3.438 * [backup-simplify]: Simplify x into x
3.438 * [taylor]: Taking taylor expansion of (* y y) in z
3.438 * [taylor]: Taking taylor expansion of y in z
3.438 * [backup-simplify]: Simplify y into y
3.438 * [taylor]: Taking taylor expansion of y in z
3.439 * [backup-simplify]: Simplify y into y
3.439 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.439 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.439 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
3.439 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
3.439 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.439 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.440 * [backup-simplify]: Simplify (+ 0 0) into 0
3.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
3.440 * [taylor]: Taking taylor expansion of (hypot x y) in z
3.440 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
3.440 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
3.440 * [taylor]: Taking taylor expansion of (* x x) in z
3.440 * [taylor]: Taking taylor expansion of x in z
3.440 * [backup-simplify]: Simplify x into x
3.440 * [taylor]: Taking taylor expansion of x in z
3.440 * [backup-simplify]: Simplify x into x
3.440 * [taylor]: Taking taylor expansion of (* y y) in z
3.440 * [taylor]: Taking taylor expansion of y in z
3.440 * [backup-simplify]: Simplify y into y
3.440 * [taylor]: Taking taylor expansion of y in z
3.440 * [backup-simplify]: Simplify y into y
3.441 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.441 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.441 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
3.441 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
3.441 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.441 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.441 * [backup-simplify]: Simplify (+ 0 0) into 0
3.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
3.442 * [taylor]: Taking taylor expansion of (* z z) in z
3.442 * [taylor]: Taking taylor expansion of z in z
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [backup-simplify]: Simplify 1 into 1
3.442 * [taylor]: Taking taylor expansion of z in z
3.442 * [backup-simplify]: Simplify 0 into 0
3.442 * [backup-simplify]: Simplify 1 into 1
3.442 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
3.443 * [backup-simplify]: Simplify (* 0 0) into 0
3.443 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
3.443 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
3.444 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
3.444 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.444 * [backup-simplify]: Simplify (+ 0 0) into 0
3.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
3.445 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y
3.445 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
3.445 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y
3.445 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
3.445 * [taylor]: Taking taylor expansion of (hypot x y) in y
3.445 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
3.445 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
3.445 * [taylor]: Taking taylor expansion of (* x x) in y
3.445 * [taylor]: Taking taylor expansion of x in y
3.445 * [backup-simplify]: Simplify x into x
3.445 * [taylor]: Taking taylor expansion of x in y
3.445 * [backup-simplify]: Simplify x into x
3.445 * [taylor]: Taking taylor expansion of (* y y) in y
3.445 * [taylor]: Taking taylor expansion of y in y
3.445 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify 1 into 1
3.445 * [taylor]: Taking taylor expansion of y in y
3.445 * [backup-simplify]: Simplify 0 into 0
3.445 * [backup-simplify]: Simplify 1 into 1
3.445 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.446 * [backup-simplify]: Simplify (* 0 0) into 0
3.446 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.446 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.446 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.446 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.447 * [backup-simplify]: Simplify (+ 0 0) into 0
3.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.447 * [taylor]: Taking taylor expansion of (hypot x y) in y
3.447 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
3.447 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
3.447 * [taylor]: Taking taylor expansion of (* x x) in y
3.447 * [taylor]: Taking taylor expansion of x in y
3.447 * [backup-simplify]: Simplify x into x
3.447 * [taylor]: Taking taylor expansion of x in y
3.447 * [backup-simplify]: Simplify x into x
3.447 * [taylor]: Taking taylor expansion of (* y y) in y
3.447 * [taylor]: Taking taylor expansion of y in y
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 1 into 1
3.447 * [taylor]: Taking taylor expansion of y in y
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [backup-simplify]: Simplify 1 into 1
3.447 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.448 * [backup-simplify]: Simplify (* 0 0) into 0
3.448 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.448 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
3.448 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.448 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.449 * [backup-simplify]: Simplify (+ 0 0) into 0
3.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
3.449 * [taylor]: Taking taylor expansion of (* z z) in y
3.449 * [taylor]: Taking taylor expansion of z in y
3.449 * [backup-simplify]: Simplify z into z
3.449 * [taylor]: Taking taylor expansion of z in y
3.449 * [backup-simplify]: Simplify z into z
3.449 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.449 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.449 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.450 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.450 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.450 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.450 * [backup-simplify]: Simplify (+ 0 0) into 0
3.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
3.450 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
3.450 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
3.450 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
3.450 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
3.450 * [taylor]: Taking taylor expansion of (hypot x y) in x
3.451 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
3.451 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
3.451 * [taylor]: Taking taylor expansion of (* x x) in x
3.451 * [taylor]: Taking taylor expansion of x in x
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [taylor]: Taking taylor expansion of x in x
3.451 * [backup-simplify]: Simplify 0 into 0
3.451 * [backup-simplify]: Simplify 1 into 1
3.451 * [taylor]: Taking taylor expansion of (* y y) in x
3.451 * [taylor]: Taking taylor expansion of y in x
3.451 * [backup-simplify]: Simplify y into y
3.451 * [taylor]: Taking taylor expansion of y in x
3.451 * [backup-simplify]: Simplify y into y
3.451 * [backup-simplify]: Simplify (* 0 0) into 0
3.451 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.451 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.452 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.452 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.452 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.452 * [backup-simplify]: Simplify (+ 0 0) into 0
3.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.453 * [taylor]: Taking taylor expansion of (hypot x y) in x
3.453 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
3.453 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
3.453 * [taylor]: Taking taylor expansion of (* x x) in x
3.453 * [taylor]: Taking taylor expansion of x in x
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 1 into 1
3.453 * [taylor]: Taking taylor expansion of x in x
3.453 * [backup-simplify]: Simplify 0 into 0
3.453 * [backup-simplify]: Simplify 1 into 1
3.453 * [taylor]: Taking taylor expansion of (* y y) in x
3.453 * [taylor]: Taking taylor expansion of y in x
3.453 * [backup-simplify]: Simplify y into y
3.453 * [taylor]: Taking taylor expansion of y in x
3.453 * [backup-simplify]: Simplify y into y
3.453 * [backup-simplify]: Simplify (* 0 0) into 0
3.453 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.453 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.454 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.454 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.454 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.454 * [backup-simplify]: Simplify (+ 0 0) into 0
3.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.455 * [taylor]: Taking taylor expansion of (* z z) in x
3.455 * [taylor]: Taking taylor expansion of z in x
3.455 * [backup-simplify]: Simplify z into z
3.455 * [taylor]: Taking taylor expansion of z in x
3.455 * [backup-simplify]: Simplify z into z
3.455 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.455 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.455 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.455 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.455 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.455 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.456 * [backup-simplify]: Simplify (+ 0 0) into 0
3.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.456 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
3.456 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
3.456 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
3.456 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
3.456 * [taylor]: Taking taylor expansion of (hypot x y) in x
3.456 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
3.456 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
3.456 * [taylor]: Taking taylor expansion of (* x x) in x
3.456 * [taylor]: Taking taylor expansion of x in x
3.456 * [backup-simplify]: Simplify 0 into 0
3.456 * [backup-simplify]: Simplify 1 into 1
3.456 * [taylor]: Taking taylor expansion of x in x
3.456 * [backup-simplify]: Simplify 0 into 0
3.457 * [backup-simplify]: Simplify 1 into 1
3.457 * [taylor]: Taking taylor expansion of (* y y) in x
3.457 * [taylor]: Taking taylor expansion of y in x
3.457 * [backup-simplify]: Simplify y into y
3.457 * [taylor]: Taking taylor expansion of y in x
3.457 * [backup-simplify]: Simplify y into y
3.457 * [backup-simplify]: Simplify (* 0 0) into 0
3.457 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.457 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.457 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.458 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.458 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.458 * [backup-simplify]: Simplify (+ 0 0) into 0
3.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.458 * [taylor]: Taking taylor expansion of (hypot x y) in x
3.458 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
3.458 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
3.458 * [taylor]: Taking taylor expansion of (* x x) in x
3.458 * [taylor]: Taking taylor expansion of x in x
3.458 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [taylor]: Taking taylor expansion of x in x
3.459 * [backup-simplify]: Simplify 0 into 0
3.459 * [backup-simplify]: Simplify 1 into 1
3.459 * [taylor]: Taking taylor expansion of (* y y) in x
3.459 * [taylor]: Taking taylor expansion of y in x
3.459 * [backup-simplify]: Simplify y into y
3.459 * [taylor]: Taking taylor expansion of y in x
3.459 * [backup-simplify]: Simplify y into y
3.459 * [backup-simplify]: Simplify (* 0 0) into 0
3.459 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.459 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
3.459 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
3.460 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.460 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.460 * [backup-simplify]: Simplify (+ 0 0) into 0
3.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
3.460 * [taylor]: Taking taylor expansion of (* z z) in x
3.460 * [taylor]: Taking taylor expansion of z in x
3.460 * [backup-simplify]: Simplify z into z
3.460 * [taylor]: Taking taylor expansion of z in x
3.460 * [backup-simplify]: Simplify z into z
3.460 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.461 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.461 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.461 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.461 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.461 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.461 * [backup-simplify]: Simplify (+ 0 0) into 0
3.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.462 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.462 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.462 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.462 * [taylor]: Taking taylor expansion of y in y
3.462 * [backup-simplify]: Simplify 0 into 0
3.462 * [backup-simplify]: Simplify 1 into 1
3.462 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.462 * [taylor]: Taking taylor expansion of z in y
3.462 * [backup-simplify]: Simplify z into z
3.462 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.462 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.462 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.462 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.463 * [backup-simplify]: Simplify (+ 0 0) into 0
3.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.463 * [taylor]: Taking taylor expansion of z in z
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [taylor]: Taking taylor expansion of 0 in y
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [taylor]: Taking taylor expansion of 0 in z
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [taylor]: Taking taylor expansion of 0 in z
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 0 into 0
3.463 * [backup-simplify]: Simplify 1 into 1
3.464 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.464 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.465 * [backup-simplify]: Simplify (+ 1 0) into 1
3.465 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
3.466 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
3.466 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.466 * [backup-simplify]: Simplify (+ 1 0) into 1
3.467 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
3.467 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
3.468 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.468 * [backup-simplify]: Simplify (+ 1 0) into 1
3.469 * [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)))))
3.469 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
3.469 * [taylor]: Taking taylor expansion of 1/2 in y
3.469 * [backup-simplify]: Simplify 1/2 into 1/2
3.469 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.469 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.469 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.469 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.469 * [taylor]: Taking taylor expansion of y in y
3.469 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify 1 into 1
3.469 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.469 * [taylor]: Taking taylor expansion of z in y
3.469 * [backup-simplify]: Simplify z into z
3.469 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.469 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.470 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.470 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.470 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.470 * [backup-simplify]: Simplify (+ 0 0) into 0
3.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.471 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
3.471 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.471 * [taylor]: Taking taylor expansion of 1/2 in z
3.471 * [backup-simplify]: Simplify 1/2 into 1/2
3.471 * [taylor]: Taking taylor expansion of z in z
3.471 * [backup-simplify]: Simplify 0 into 0
3.471 * [backup-simplify]: Simplify 1 into 1
3.471 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [taylor]: Taking taylor expansion of 0 in z
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [backup-simplify]: Simplify 0 into 0
3.472 * [backup-simplify]: Simplify (* 1 1) into 1
3.473 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.473 * [backup-simplify]: Simplify (+ 1 0) into 1
3.473 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.474 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.474 * [taylor]: Taking taylor expansion of 1/2 in z
3.474 * [backup-simplify]: Simplify 1/2 into 1/2
3.474 * [taylor]: Taking taylor expansion of z in z
3.474 * [backup-simplify]: Simplify 0 into 0
3.474 * [backup-simplify]: Simplify 1 into 1
3.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify 0 into 0
3.475 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
3.476 * [backup-simplify]: Simplify (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))
3.476 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0
3.476 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z
3.476 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
3.476 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z
3.476 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
3.476 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
3.476 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
3.476 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
3.476 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
3.476 * [taylor]: Taking taylor expansion of (/ 1 x) in z
3.476 * [taylor]: Taking taylor expansion of x in z
3.476 * [backup-simplify]: Simplify x into x
3.476 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.476 * [taylor]: Taking taylor expansion of (/ 1 x) in z
3.476 * [taylor]: Taking taylor expansion of x in z
3.476 * [backup-simplify]: Simplify x into x
3.476 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.476 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
3.476 * [taylor]: Taking taylor expansion of (/ 1 y) in z
3.476 * [taylor]: Taking taylor expansion of y in z
3.476 * [backup-simplify]: Simplify y into y
3.476 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.476 * [taylor]: Taking taylor expansion of (/ 1 y) in z
3.476 * [taylor]: Taking taylor expansion of y in z
3.476 * [backup-simplify]: Simplify y into y
3.477 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.477 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
3.477 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
3.477 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.477 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
3.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.477 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.478 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
3.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.478 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
3.478 * [backup-simplify]: Simplify (+ 0 0) into 0
3.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
3.479 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
3.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
3.479 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
3.479 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
3.479 * [taylor]: Taking taylor expansion of (/ 1 x) in z
3.479 * [taylor]: Taking taylor expansion of x in z
3.479 * [backup-simplify]: Simplify x into x
3.479 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.479 * [taylor]: Taking taylor expansion of (/ 1 x) in z
3.479 * [taylor]: Taking taylor expansion of x in z
3.479 * [backup-simplify]: Simplify x into x
3.479 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.479 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
3.479 * [taylor]: Taking taylor expansion of (/ 1 y) in z
3.479 * [taylor]: Taking taylor expansion of y in z
3.479 * [backup-simplify]: Simplify y into y
3.479 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.479 * [taylor]: Taking taylor expansion of (/ 1 y) in z
3.479 * [taylor]: Taking taylor expansion of y in z
3.479 * [backup-simplify]: Simplify y into y
3.479 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.479 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
3.480 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
3.480 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.480 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
3.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
3.480 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
3.480 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.481 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.481 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
3.481 * [backup-simplify]: Simplify (+ 0 0) into 0
3.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
3.481 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
3.481 * [taylor]: Taking taylor expansion of (/ 1 z) in z
3.482 * [taylor]: Taking taylor expansion of z in z
3.482 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify 1 into 1
3.482 * [backup-simplify]: Simplify (/ 1 1) into 1
3.482 * [taylor]: Taking taylor expansion of (/ 1 z) in z
3.482 * [taylor]: Taking taylor expansion of z in z
3.482 * [backup-simplify]: Simplify 0 into 0
3.482 * [backup-simplify]: Simplify 1 into 1
3.482 * [backup-simplify]: Simplify (/ 1 1) into 1
3.483 * [backup-simplify]: Simplify (* 1 1) into 1
3.483 * [backup-simplify]: Simplify (+ 0 1) into 1
3.483 * [backup-simplify]: Simplify (sqrt 1) into 1
3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.485 * [backup-simplify]: Simplify (+ 0 0) into 0
3.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.486 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y
3.486 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
3.486 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y
3.486 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
3.486 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
3.486 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
3.486 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
3.486 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
3.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.486 * [taylor]: Taking taylor expansion of x in y
3.486 * [backup-simplify]: Simplify x into x
3.486 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.486 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.486 * [taylor]: Taking taylor expansion of x in y
3.486 * [backup-simplify]: Simplify x into x
3.486 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.486 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
3.486 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.486 * [taylor]: Taking taylor expansion of y in y
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 1 into 1
3.487 * [backup-simplify]: Simplify (/ 1 1) into 1
3.487 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.487 * [taylor]: Taking taylor expansion of y in y
3.487 * [backup-simplify]: Simplify 0 into 0
3.487 * [backup-simplify]: Simplify 1 into 1
3.487 * [backup-simplify]: Simplify (/ 1 1) into 1
3.488 * [backup-simplify]: Simplify (* 1 1) into 1
3.488 * [backup-simplify]: Simplify (+ 0 1) into 1
3.488 * [backup-simplify]: Simplify (sqrt 1) into 1
3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.490 * [backup-simplify]: Simplify (+ 0 0) into 0
3.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.491 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
3.491 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
3.491 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
3.491 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
3.491 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.491 * [taylor]: Taking taylor expansion of x in y
3.491 * [backup-simplify]: Simplify x into x
3.491 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.491 * [taylor]: Taking taylor expansion of (/ 1 x) in y
3.491 * [taylor]: Taking taylor expansion of x in y
3.491 * [backup-simplify]: Simplify x into x
3.491 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
3.491 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
3.491 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.491 * [taylor]: Taking taylor expansion of y in y
3.491 * [backup-simplify]: Simplify 0 into 0
3.491 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (/ 1 1) into 1
3.492 * [taylor]: Taking taylor expansion of (/ 1 y) in y
3.492 * [taylor]: Taking taylor expansion of y in y
3.492 * [backup-simplify]: Simplify 0 into 0
3.492 * [backup-simplify]: Simplify 1 into 1
3.492 * [backup-simplify]: Simplify (/ 1 1) into 1
3.492 * [backup-simplify]: Simplify (* 1 1) into 1
3.493 * [backup-simplify]: Simplify (+ 0 1) into 1
3.493 * [backup-simplify]: Simplify (sqrt 1) into 1
3.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.495 * [backup-simplify]: Simplify (+ 0 0) into 0
3.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.495 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
3.495 * [taylor]: Taking taylor expansion of (/ 1 z) in y
3.496 * [taylor]: Taking taylor expansion of z in y
3.496 * [backup-simplify]: Simplify z into z
3.496 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.496 * [taylor]: Taking taylor expansion of (/ 1 z) in y
3.496 * [taylor]: Taking taylor expansion of z in y
3.496 * [backup-simplify]: Simplify z into z
3.496 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.496 * [backup-simplify]: Simplify (* 1 1) into 1
3.496 * [backup-simplify]: Simplify (+ 1 0) into 1
3.497 * [backup-simplify]: Simplify (sqrt 1) into 1
3.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.497 * [backup-simplify]: Simplify (+ 0 0) into 0
3.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.498 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
3.498 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
3.498 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
3.498 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
3.498 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
3.498 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
3.498 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
3.498 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.498 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.498 * [taylor]: Taking taylor expansion of x in x
3.498 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify 1 into 1
3.499 * [backup-simplify]: Simplify (/ 1 1) into 1
3.499 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.499 * [taylor]: Taking taylor expansion of x in x
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [backup-simplify]: Simplify 1 into 1
3.499 * [backup-simplify]: Simplify (/ 1 1) into 1
3.499 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
3.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.499 * [taylor]: Taking taylor expansion of y in x
3.499 * [backup-simplify]: Simplify y into y
3.499 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.499 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.499 * [taylor]: Taking taylor expansion of y in x
3.499 * [backup-simplify]: Simplify y into y
3.499 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.500 * [backup-simplify]: Simplify (* 1 1) into 1
3.500 * [backup-simplify]: Simplify (+ 1 0) into 1
3.500 * [backup-simplify]: Simplify (sqrt 1) into 1
3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.502 * [backup-simplify]: Simplify (+ 0 0) into 0
3.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.503 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
3.503 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
3.503 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
3.503 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.503 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.503 * [taylor]: Taking taylor expansion of x in x
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.503 * [backup-simplify]: Simplify (/ 1 1) into 1
3.504 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.504 * [taylor]: Taking taylor expansion of x in x
3.504 * [backup-simplify]: Simplify 0 into 0
3.504 * [backup-simplify]: Simplify 1 into 1
3.504 * [backup-simplify]: Simplify (/ 1 1) into 1
3.504 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
3.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.504 * [taylor]: Taking taylor expansion of y in x
3.504 * [backup-simplify]: Simplify y into y
3.504 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.504 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.504 * [taylor]: Taking taylor expansion of y in x
3.504 * [backup-simplify]: Simplify y into y
3.504 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.504 * [backup-simplify]: Simplify (* 1 1) into 1
3.505 * [backup-simplify]: Simplify (+ 1 0) into 1
3.505 * [backup-simplify]: Simplify (sqrt 1) into 1
3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.507 * [backup-simplify]: Simplify (+ 0 0) into 0
3.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.508 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
3.508 * [taylor]: Taking taylor expansion of (/ 1 z) in x
3.508 * [taylor]: Taking taylor expansion of z in x
3.508 * [backup-simplify]: Simplify z into z
3.508 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.508 * [taylor]: Taking taylor expansion of (/ 1 z) in x
3.508 * [taylor]: Taking taylor expansion of z in x
3.508 * [backup-simplify]: Simplify z into z
3.508 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.508 * [backup-simplify]: Simplify (* 1 1) into 1
3.509 * [backup-simplify]: Simplify (+ 1 0) into 1
3.509 * [backup-simplify]: Simplify (sqrt 1) into 1
3.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.510 * [backup-simplify]: Simplify (+ 0 0) into 0
3.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.510 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
3.510 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
3.510 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
3.510 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
3.511 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
3.511 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
3.511 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
3.511 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.511 * [taylor]: Taking taylor expansion of x in x
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.511 * [backup-simplify]: Simplify (/ 1 1) into 1
3.511 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.511 * [taylor]: Taking taylor expansion of x in x
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.511 * [backup-simplify]: Simplify (/ 1 1) into 1
3.512 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
3.512 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.512 * [taylor]: Taking taylor expansion of y in x
3.512 * [backup-simplify]: Simplify y into y
3.512 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.512 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.512 * [taylor]: Taking taylor expansion of y in x
3.512 * [backup-simplify]: Simplify y into y
3.512 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.512 * [backup-simplify]: Simplify (* 1 1) into 1
3.512 * [backup-simplify]: Simplify (+ 1 0) into 1
3.513 * [backup-simplify]: Simplify (sqrt 1) into 1
3.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.515 * [backup-simplify]: Simplify (+ 0 0) into 0
3.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.515 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
3.515 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
3.515 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
3.515 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
3.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.516 * [taylor]: Taking taylor expansion of x in x
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 1 into 1
3.516 * [backup-simplify]: Simplify (/ 1 1) into 1
3.516 * [taylor]: Taking taylor expansion of (/ 1 x) in x
3.516 * [taylor]: Taking taylor expansion of x in x
3.516 * [backup-simplify]: Simplify 0 into 0
3.516 * [backup-simplify]: Simplify 1 into 1
3.516 * [backup-simplify]: Simplify (/ 1 1) into 1
3.516 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
3.516 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.516 * [taylor]: Taking taylor expansion of y in x
3.516 * [backup-simplify]: Simplify y into y
3.516 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.516 * [taylor]: Taking taylor expansion of (/ 1 y) in x
3.516 * [taylor]: Taking taylor expansion of y in x
3.517 * [backup-simplify]: Simplify y into y
3.517 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
3.517 * [backup-simplify]: Simplify (* 1 1) into 1
3.517 * [backup-simplify]: Simplify (+ 1 0) into 1
3.517 * [backup-simplify]: Simplify (sqrt 1) into 1
3.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.519 * [backup-simplify]: Simplify (+ 0 0) into 0
3.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.520 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
3.520 * [taylor]: Taking taylor expansion of (/ 1 z) in x
3.520 * [taylor]: Taking taylor expansion of z in x
3.520 * [backup-simplify]: Simplify z into z
3.520 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.520 * [taylor]: Taking taylor expansion of (/ 1 z) in x
3.520 * [taylor]: Taking taylor expansion of z in x
3.520 * [backup-simplify]: Simplify z into z
3.520 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
3.521 * [backup-simplify]: Simplify (* 1 1) into 1
3.521 * [backup-simplify]: Simplify (+ 1 0) into 1
3.521 * [backup-simplify]: Simplify (sqrt 1) into 1
3.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.522 * [backup-simplify]: Simplify (+ 0 0) into 0
3.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.523 * [taylor]: Taking taylor expansion of 1 in y
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [taylor]: Taking taylor expansion of 0 in y
3.523 * [backup-simplify]: Simplify 0 into 0
3.523 * [taylor]: Taking taylor expansion of 1 in z
3.523 * [backup-simplify]: Simplify 1 into 1
3.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.525 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
3.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.526 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.528 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
3.529 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.530 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.530 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
3.530 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2))
3.531 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.532 * [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))))
3.532 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
3.532 * [taylor]: Taking taylor expansion of 1/2 in y
3.532 * [backup-simplify]: Simplify 1/2 into 1/2
3.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.532 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.532 * [taylor]: Taking taylor expansion of z in y
3.532 * [backup-simplify]: Simplify z into z
3.532 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.532 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.532 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.532 * [taylor]: Taking taylor expansion of y in y
3.532 * [backup-simplify]: Simplify 0 into 0
3.532 * [backup-simplify]: Simplify 1 into 1
3.533 * [backup-simplify]: Simplify (* 1 1) into 1
3.533 * [backup-simplify]: Simplify (/ 1 1) into 1
3.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.534 * [backup-simplify]: Simplify (+ 0 0) into 0
3.535 * [backup-simplify]: Simplify (+ 0 1) into 1
3.535 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.535 * [taylor]: Taking taylor expansion of 0 in z
3.535 * [backup-simplify]: Simplify 0 into 0
3.535 * [taylor]: Taking taylor expansion of 0 in z
3.535 * [backup-simplify]: Simplify 0 into 0
3.535 * [taylor]: Taking taylor expansion of 0 in z
3.535 * [backup-simplify]: Simplify 0 into 0
3.535 * [backup-simplify]: Simplify 1 into 1
3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.538 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
3.538 * [backup-simplify]: Simplify (+ 0 0) into 0
3.539 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
3.541 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
3.541 * [backup-simplify]: Simplify (+ 0 0) into 0
3.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
3.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
3.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
3.543 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0
3.544 * [backup-simplify]: Simplify (+ 0 0) into 0
3.544 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
3.544 * [taylor]: Taking taylor expansion of 0 in y
3.544 * [backup-simplify]: Simplify 0 into 0
3.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.546 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
3.546 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.547 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.547 * [taylor]: Taking taylor expansion of 1/2 in z
3.547 * [backup-simplify]: Simplify 1/2 into 1/2
3.547 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.547 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.547 * [taylor]: Taking taylor expansion of z in z
3.547 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify 1 into 1
3.547 * [backup-simplify]: Simplify (* 1 1) into 1
3.547 * [backup-simplify]: Simplify (/ 1 1) into 1
3.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [taylor]: Taking taylor expansion of 0 in z
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [taylor]: Taking taylor expansion of 0 in z
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 0 into 0
3.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.552 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
3.553 * [backup-simplify]: Simplify (+ 0 0) into 0
3.554 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
3.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.561 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.562 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
3.562 * [backup-simplify]: Simplify (+ 0 0) into 0
3.563 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
3.564 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
3.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
3.565 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0
3.565 * [backup-simplify]: Simplify (+ 0 0) into 0
3.567 * [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))))))
3.567 * [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
3.567 * [taylor]: Taking taylor expansion of -1/2 in y
3.567 * [backup-simplify]: Simplify -1/2 into -1/2
3.567 * [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
3.567 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.567 * [taylor]: Taking taylor expansion of 1/4 in y
3.567 * [backup-simplify]: Simplify 1/4 into 1/4
3.567 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.567 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.567 * [taylor]: Taking taylor expansion of z in y
3.567 * [backup-simplify]: Simplify z into z
3.567 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.567 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.568 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.568 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
3.568 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.568 * [taylor]: Taking taylor expansion of 1/2 in y
3.568 * [backup-simplify]: Simplify 1/2 into 1/2
3.568 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.568 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.568 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.568 * [taylor]: Taking taylor expansion of z in y
3.568 * [backup-simplify]: Simplify z into z
3.568 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.568 * [taylor]: Taking taylor expansion of y in y
3.568 * [backup-simplify]: Simplify 0 into 0
3.568 * [backup-simplify]: Simplify 1 into 1
3.568 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.568 * [backup-simplify]: Simplify (* 1 1) into 1
3.568 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.568 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.568 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.568 * [taylor]: Taking taylor expansion of 1/4 in y
3.568 * [backup-simplify]: Simplify 1/4 into 1/4
3.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.569 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.569 * [taylor]: Taking taylor expansion of y in y
3.569 * [backup-simplify]: Simplify 0 into 0
3.569 * [backup-simplify]: Simplify 1 into 1
3.569 * [backup-simplify]: Simplify (* 1 1) into 1
3.569 * [backup-simplify]: Simplify (* 1 1) into 1
3.569 * [backup-simplify]: Simplify (/ 1 1) into 1
3.570 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.570 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.571 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.571 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.578 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.578 * [backup-simplify]: Simplify (+ 0 0) into 0
3.579 * [backup-simplify]: Simplify (+ 0 0) into 0
3.579 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.580 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.580 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.580 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
3.581 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.581 * [backup-simplify]: Simplify (+ 0 0) into 0
3.581 * [backup-simplify]: Simplify (+ 0 0) into 0
3.582 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.582 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.582 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.583 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.583 * [taylor]: Taking taylor expansion of 0 in z
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [taylor]: Taking taylor expansion of 0 in z
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.584 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.585 * [backup-simplify]: Simplify (+ 0 0) into 0
3.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.586 * [taylor]: Taking taylor expansion of 0 in z
3.586 * [backup-simplify]: Simplify 0 into 0
3.587 * [taylor]: Taking taylor expansion of 0 in z
3.587 * [backup-simplify]: Simplify 0 into 0
3.587 * [taylor]: Taking taylor expansion of 0 in z
3.587 * [backup-simplify]: Simplify 0 into 0
3.587 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.589 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.589 * [backup-simplify]: Simplify 0 into 0
3.589 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.589 * [backup-simplify]: Simplify (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))
3.589 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0
3.589 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z
3.589 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
3.589 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z
3.589 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
3.590 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
3.590 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
3.590 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
3.590 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
3.590 * [taylor]: Taking taylor expansion of (/ -1 x) in z
3.590 * [taylor]: Taking taylor expansion of -1 in z
3.590 * [backup-simplify]: Simplify -1 into -1
3.590 * [taylor]: Taking taylor expansion of x in z
3.590 * [backup-simplify]: Simplify x into x
3.590 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.590 * [taylor]: Taking taylor expansion of (/ -1 x) in z
3.590 * [taylor]: Taking taylor expansion of -1 in z
3.590 * [backup-simplify]: Simplify -1 into -1
3.590 * [taylor]: Taking taylor expansion of x in z
3.590 * [backup-simplify]: Simplify x into x
3.590 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.590 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
3.590 * [taylor]: Taking taylor expansion of (/ -1 y) in z
3.590 * [taylor]: Taking taylor expansion of -1 in z
3.590 * [backup-simplify]: Simplify -1 into -1
3.590 * [taylor]: Taking taylor expansion of y in z
3.590 * [backup-simplify]: Simplify y into y
3.590 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.590 * [taylor]: Taking taylor expansion of (/ -1 y) in z
3.590 * [taylor]: Taking taylor expansion of -1 in z
3.590 * [backup-simplify]: Simplify -1 into -1
3.590 * [taylor]: Taking taylor expansion of y in z
3.590 * [backup-simplify]: Simplify y into y
3.590 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.590 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
3.591 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
3.591 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.591 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
3.591 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
3.591 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
3.591 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
3.592 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.592 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.592 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
3.592 * [backup-simplify]: Simplify (+ 0 0) into 0
3.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
3.592 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
3.593 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
3.593 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
3.593 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
3.593 * [taylor]: Taking taylor expansion of (/ -1 x) in z
3.593 * [taylor]: Taking taylor expansion of -1 in z
3.593 * [backup-simplify]: Simplify -1 into -1
3.593 * [taylor]: Taking taylor expansion of x in z
3.593 * [backup-simplify]: Simplify x into x
3.593 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.593 * [taylor]: Taking taylor expansion of (/ -1 x) in z
3.593 * [taylor]: Taking taylor expansion of -1 in z
3.593 * [backup-simplify]: Simplify -1 into -1
3.593 * [taylor]: Taking taylor expansion of x in z
3.593 * [backup-simplify]: Simplify x into x
3.593 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.593 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
3.593 * [taylor]: Taking taylor expansion of (/ -1 y) in z
3.593 * [taylor]: Taking taylor expansion of -1 in z
3.593 * [backup-simplify]: Simplify -1 into -1
3.593 * [taylor]: Taking taylor expansion of y in z
3.593 * [backup-simplify]: Simplify y into y
3.593 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.593 * [taylor]: Taking taylor expansion of (/ -1 y) in z
3.593 * [taylor]: Taking taylor expansion of -1 in z
3.593 * [backup-simplify]: Simplify -1 into -1
3.593 * [taylor]: Taking taylor expansion of y in z
3.593 * [backup-simplify]: Simplify y into y
3.593 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.593 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
3.594 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
3.594 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
3.594 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
3.594 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
3.594 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
3.594 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
3.595 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.595 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.595 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
3.595 * [backup-simplify]: Simplify (+ 0 0) into 0
3.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
3.596 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
3.596 * [taylor]: Taking taylor expansion of (/ -1 z) in z
3.596 * [taylor]: Taking taylor expansion of -1 in z
3.596 * [backup-simplify]: Simplify -1 into -1
3.596 * [taylor]: Taking taylor expansion of z in z
3.596 * [backup-simplify]: Simplify 0 into 0
3.596 * [backup-simplify]: Simplify 1 into 1
3.596 * [backup-simplify]: Simplify (/ -1 1) into -1
3.596 * [taylor]: Taking taylor expansion of (/ -1 z) in z
3.596 * [taylor]: Taking taylor expansion of -1 in z
3.596 * [backup-simplify]: Simplify -1 into -1
3.596 * [taylor]: Taking taylor expansion of z in z
3.596 * [backup-simplify]: Simplify 0 into 0
3.596 * [backup-simplify]: Simplify 1 into 1
3.597 * [backup-simplify]: Simplify (/ -1 1) into -1
3.597 * [backup-simplify]: Simplify (* -1 -1) into 1
3.597 * [backup-simplify]: Simplify (+ 0 1) into 1
3.597 * [backup-simplify]: Simplify (sqrt 1) into 1
3.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.599 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.599 * [backup-simplify]: Simplify (+ 0 0) into 0
3.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.600 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y
3.600 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
3.600 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y
3.600 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
3.600 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
3.600 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
3.600 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
3.600 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
3.600 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.601 * [taylor]: Taking taylor expansion of -1 in y
3.601 * [backup-simplify]: Simplify -1 into -1
3.601 * [taylor]: Taking taylor expansion of x in y
3.601 * [backup-simplify]: Simplify x into x
3.601 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.601 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.601 * [taylor]: Taking taylor expansion of -1 in y
3.601 * [backup-simplify]: Simplify -1 into -1
3.601 * [taylor]: Taking taylor expansion of x in y
3.601 * [backup-simplify]: Simplify x into x
3.601 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.601 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
3.601 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.601 * [taylor]: Taking taylor expansion of -1 in y
3.601 * [backup-simplify]: Simplify -1 into -1
3.601 * [taylor]: Taking taylor expansion of y in y
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.601 * [backup-simplify]: Simplify (/ -1 1) into -1
3.601 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.601 * [taylor]: Taking taylor expansion of -1 in y
3.601 * [backup-simplify]: Simplify -1 into -1
3.601 * [taylor]: Taking taylor expansion of y in y
3.601 * [backup-simplify]: Simplify 0 into 0
3.601 * [backup-simplify]: Simplify 1 into 1
3.602 * [backup-simplify]: Simplify (/ -1 1) into -1
3.602 * [backup-simplify]: Simplify (* -1 -1) into 1
3.602 * [backup-simplify]: Simplify (+ 0 1) into 1
3.603 * [backup-simplify]: Simplify (sqrt 1) into 1
3.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.605 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.605 * [backup-simplify]: Simplify (+ 0 0) into 0
3.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.605 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
3.606 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
3.606 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
3.606 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
3.606 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.606 * [taylor]: Taking taylor expansion of -1 in y
3.606 * [backup-simplify]: Simplify -1 into -1
3.606 * [taylor]: Taking taylor expansion of x in y
3.606 * [backup-simplify]: Simplify x into x
3.606 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.606 * [taylor]: Taking taylor expansion of (/ -1 x) in y
3.606 * [taylor]: Taking taylor expansion of -1 in y
3.606 * [backup-simplify]: Simplify -1 into -1
3.606 * [taylor]: Taking taylor expansion of x in y
3.606 * [backup-simplify]: Simplify x into x
3.606 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
3.606 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
3.606 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.606 * [taylor]: Taking taylor expansion of -1 in y
3.606 * [backup-simplify]: Simplify -1 into -1
3.606 * [taylor]: Taking taylor expansion of y in y
3.606 * [backup-simplify]: Simplify 0 into 0
3.606 * [backup-simplify]: Simplify 1 into 1
3.607 * [backup-simplify]: Simplify (/ -1 1) into -1
3.607 * [taylor]: Taking taylor expansion of (/ -1 y) in y
3.607 * [taylor]: Taking taylor expansion of -1 in y
3.607 * [backup-simplify]: Simplify -1 into -1
3.607 * [taylor]: Taking taylor expansion of y in y
3.607 * [backup-simplify]: Simplify 0 into 0
3.607 * [backup-simplify]: Simplify 1 into 1
3.607 * [backup-simplify]: Simplify (/ -1 1) into -1
3.607 * [backup-simplify]: Simplify (* -1 -1) into 1
3.608 * [backup-simplify]: Simplify (+ 0 1) into 1
3.608 * [backup-simplify]: Simplify (sqrt 1) into 1
3.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.609 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.610 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.610 * [backup-simplify]: Simplify (+ 0 0) into 0
3.611 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.611 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
3.611 * [taylor]: Taking taylor expansion of (/ -1 z) in y
3.611 * [taylor]: Taking taylor expansion of -1 in y
3.611 * [backup-simplify]: Simplify -1 into -1
3.611 * [taylor]: Taking taylor expansion of z in y
3.611 * [backup-simplify]: Simplify z into z
3.611 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.611 * [taylor]: Taking taylor expansion of (/ -1 z) in y
3.611 * [taylor]: Taking taylor expansion of -1 in y
3.611 * [backup-simplify]: Simplify -1 into -1
3.611 * [taylor]: Taking taylor expansion of z in y
3.611 * [backup-simplify]: Simplify z into z
3.611 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.611 * [backup-simplify]: Simplify (* 1 1) into 1
3.612 * [backup-simplify]: Simplify (+ 1 0) into 1
3.612 * [backup-simplify]: Simplify (sqrt 1) into 1
3.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.613 * [backup-simplify]: Simplify (+ 0 0) into 0
3.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.614 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
3.614 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
3.614 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
3.614 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
3.614 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
3.614 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
3.614 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
3.614 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.614 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.614 * [taylor]: Taking taylor expansion of -1 in x
3.614 * [backup-simplify]: Simplify -1 into -1
3.614 * [taylor]: Taking taylor expansion of x in x
3.614 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify 1 into 1
3.615 * [backup-simplify]: Simplify (/ -1 1) into -1
3.615 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.615 * [taylor]: Taking taylor expansion of -1 in x
3.615 * [backup-simplify]: Simplify -1 into -1
3.615 * [taylor]: Taking taylor expansion of x in x
3.615 * [backup-simplify]: Simplify 0 into 0
3.615 * [backup-simplify]: Simplify 1 into 1
3.615 * [backup-simplify]: Simplify (/ -1 1) into -1
3.615 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
3.615 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.615 * [taylor]: Taking taylor expansion of -1 in x
3.615 * [backup-simplify]: Simplify -1 into -1
3.615 * [taylor]: Taking taylor expansion of y in x
3.615 * [backup-simplify]: Simplify y into y
3.615 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.615 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.615 * [taylor]: Taking taylor expansion of -1 in x
3.615 * [backup-simplify]: Simplify -1 into -1
3.615 * [taylor]: Taking taylor expansion of y in x
3.615 * [backup-simplify]: Simplify y into y
3.615 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.616 * [backup-simplify]: Simplify (* -1 -1) into 1
3.616 * [backup-simplify]: Simplify (+ 1 0) into 1
3.616 * [backup-simplify]: Simplify (sqrt 1) into 1
3.617 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.618 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.618 * [backup-simplify]: Simplify (+ 0 0) into 0
3.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.619 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
3.619 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
3.619 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
3.619 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.619 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.619 * [taylor]: Taking taylor expansion of -1 in x
3.619 * [backup-simplify]: Simplify -1 into -1
3.619 * [taylor]: Taking taylor expansion of x in x
3.619 * [backup-simplify]: Simplify 0 into 0
3.619 * [backup-simplify]: Simplify 1 into 1
3.620 * [backup-simplify]: Simplify (/ -1 1) into -1
3.620 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.620 * [taylor]: Taking taylor expansion of -1 in x
3.620 * [backup-simplify]: Simplify -1 into -1
3.620 * [taylor]: Taking taylor expansion of x in x
3.620 * [backup-simplify]: Simplify 0 into 0
3.620 * [backup-simplify]: Simplify 1 into 1
3.620 * [backup-simplify]: Simplify (/ -1 1) into -1
3.620 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
3.620 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.620 * [taylor]: Taking taylor expansion of -1 in x
3.620 * [backup-simplify]: Simplify -1 into -1
3.620 * [taylor]: Taking taylor expansion of y in x
3.620 * [backup-simplify]: Simplify y into y
3.621 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.621 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.621 * [taylor]: Taking taylor expansion of -1 in x
3.621 * [backup-simplify]: Simplify -1 into -1
3.621 * [taylor]: Taking taylor expansion of y in x
3.621 * [backup-simplify]: Simplify y into y
3.621 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.621 * [backup-simplify]: Simplify (* -1 -1) into 1
3.621 * [backup-simplify]: Simplify (+ 1 0) into 1
3.622 * [backup-simplify]: Simplify (sqrt 1) into 1
3.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.623 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.624 * [backup-simplify]: Simplify (+ 0 0) into 0
3.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.624 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
3.624 * [taylor]: Taking taylor expansion of (/ -1 z) in x
3.624 * [taylor]: Taking taylor expansion of -1 in x
3.624 * [backup-simplify]: Simplify -1 into -1
3.624 * [taylor]: Taking taylor expansion of z in x
3.624 * [backup-simplify]: Simplify z into z
3.625 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.625 * [taylor]: Taking taylor expansion of (/ -1 z) in x
3.625 * [taylor]: Taking taylor expansion of -1 in x
3.625 * [backup-simplify]: Simplify -1 into -1
3.625 * [taylor]: Taking taylor expansion of z in x
3.625 * [backup-simplify]: Simplify z into z
3.625 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.625 * [backup-simplify]: Simplify (* 1 1) into 1
3.625 * [backup-simplify]: Simplify (+ 1 0) into 1
3.626 * [backup-simplify]: Simplify (sqrt 1) into 1
3.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.627 * [backup-simplify]: Simplify (+ 0 0) into 0
3.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.627 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
3.627 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
3.628 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
3.628 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
3.628 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
3.628 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
3.628 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
3.628 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.628 * [taylor]: Taking taylor expansion of -1 in x
3.628 * [backup-simplify]: Simplify -1 into -1
3.628 * [taylor]: Taking taylor expansion of x in x
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify 1 into 1
3.628 * [backup-simplify]: Simplify (/ -1 1) into -1
3.628 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.628 * [taylor]: Taking taylor expansion of -1 in x
3.628 * [backup-simplify]: Simplify -1 into -1
3.628 * [taylor]: Taking taylor expansion of x in x
3.628 * [backup-simplify]: Simplify 0 into 0
3.628 * [backup-simplify]: Simplify 1 into 1
3.629 * [backup-simplify]: Simplify (/ -1 1) into -1
3.629 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
3.629 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.629 * [taylor]: Taking taylor expansion of -1 in x
3.629 * [backup-simplify]: Simplify -1 into -1
3.629 * [taylor]: Taking taylor expansion of y in x
3.629 * [backup-simplify]: Simplify y into y
3.629 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.629 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.629 * [taylor]: Taking taylor expansion of -1 in x
3.629 * [backup-simplify]: Simplify -1 into -1
3.629 * [taylor]: Taking taylor expansion of y in x
3.629 * [backup-simplify]: Simplify y into y
3.629 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.630 * [backup-simplify]: Simplify (* -1 -1) into 1
3.630 * [backup-simplify]: Simplify (+ 1 0) into 1
3.630 * [backup-simplify]: Simplify (sqrt 1) into 1
3.631 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.632 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.633 * [backup-simplify]: Simplify (+ 0 0) into 0
3.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.633 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
3.634 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
3.634 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
3.634 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
3.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.634 * [taylor]: Taking taylor expansion of -1 in x
3.634 * [backup-simplify]: Simplify -1 into -1
3.634 * [taylor]: Taking taylor expansion of x in x
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 1 into 1
3.634 * [backup-simplify]: Simplify (/ -1 1) into -1
3.634 * [taylor]: Taking taylor expansion of (/ -1 x) in x
3.634 * [taylor]: Taking taylor expansion of -1 in x
3.634 * [backup-simplify]: Simplify -1 into -1
3.634 * [taylor]: Taking taylor expansion of x in x
3.634 * [backup-simplify]: Simplify 0 into 0
3.634 * [backup-simplify]: Simplify 1 into 1
3.635 * [backup-simplify]: Simplify (/ -1 1) into -1
3.635 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
3.635 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.635 * [taylor]: Taking taylor expansion of -1 in x
3.635 * [backup-simplify]: Simplify -1 into -1
3.635 * [taylor]: Taking taylor expansion of y in x
3.635 * [backup-simplify]: Simplify y into y
3.635 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.636 * [taylor]: Taking taylor expansion of (/ -1 y) in x
3.636 * [taylor]: Taking taylor expansion of -1 in x
3.636 * [backup-simplify]: Simplify -1 into -1
3.636 * [taylor]: Taking taylor expansion of y in x
3.636 * [backup-simplify]: Simplify y into y
3.636 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
3.636 * [backup-simplify]: Simplify (* -1 -1) into 1
3.636 * [backup-simplify]: Simplify (+ 1 0) into 1
3.637 * [backup-simplify]: Simplify (sqrt 1) into 1
3.637 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
3.639 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
3.639 * [backup-simplify]: Simplify (+ 0 0) into 0
3.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.639 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
3.639 * [taylor]: Taking taylor expansion of (/ -1 z) in x
3.639 * [taylor]: Taking taylor expansion of -1 in x
3.639 * [backup-simplify]: Simplify -1 into -1
3.639 * [taylor]: Taking taylor expansion of z in x
3.639 * [backup-simplify]: Simplify z into z
3.640 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.640 * [taylor]: Taking taylor expansion of (/ -1 z) in x
3.640 * [taylor]: Taking taylor expansion of -1 in x
3.640 * [backup-simplify]: Simplify -1 into -1
3.640 * [taylor]: Taking taylor expansion of z in x
3.640 * [backup-simplify]: Simplify z into z
3.640 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
3.640 * [backup-simplify]: Simplify (* 1 1) into 1
3.640 * [backup-simplify]: Simplify (+ 1 0) into 1
3.641 * [backup-simplify]: Simplify (sqrt 1) into 1
3.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.641 * [backup-simplify]: Simplify (+ 0 0) into 0
3.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.642 * [taylor]: Taking taylor expansion of 1 in y
3.642 * [backup-simplify]: Simplify 1 into 1
3.642 * [taylor]: Taking taylor expansion of 0 in y
3.642 * [backup-simplify]: Simplify 0 into 0
3.642 * [taylor]: Taking taylor expansion of 1 in z
3.642 * [backup-simplify]: Simplify 1 into 1
3.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.645 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.645 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
3.645 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.646 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.647 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.648 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
3.648 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
3.648 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
3.649 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
3.650 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
3.650 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2))
3.651 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
3.652 * [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))))
3.652 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
3.652 * [taylor]: Taking taylor expansion of 1/2 in y
3.652 * [backup-simplify]: Simplify 1/2 into 1/2
3.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
3.652 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.652 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.652 * [taylor]: Taking taylor expansion of z in y
3.652 * [backup-simplify]: Simplify z into z
3.652 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.652 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.652 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.652 * [taylor]: Taking taylor expansion of y in y
3.652 * [backup-simplify]: Simplify 0 into 0
3.652 * [backup-simplify]: Simplify 1 into 1
3.653 * [backup-simplify]: Simplify (* 1 1) into 1
3.653 * [backup-simplify]: Simplify (/ 1 1) into 1
3.653 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.654 * [backup-simplify]: Simplify (+ 0 0) into 0
3.655 * [backup-simplify]: Simplify (+ 0 1) into 1
3.655 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.655 * [taylor]: Taking taylor expansion of 0 in z
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [taylor]: Taking taylor expansion of 0 in z
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [taylor]: Taking taylor expansion of 0 in z
3.655 * [backup-simplify]: Simplify 0 into 0
3.655 * [backup-simplify]: Simplify 1 into 1
3.656 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.658 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.658 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.658 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.658 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.659 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.661 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
3.661 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.661 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
3.662 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
3.662 * [backup-simplify]: Simplify (+ 0 0) into 0
3.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
3.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
3.664 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
3.664 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
3.664 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0
3.664 * [backup-simplify]: Simplify (+ 0 0) into 0
3.665 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
3.665 * [taylor]: Taking taylor expansion of 0 in y
3.665 * [backup-simplify]: Simplify 0 into 0
3.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.666 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
3.667 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.667 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.667 * [taylor]: Taking taylor expansion of 1/2 in z
3.667 * [backup-simplify]: Simplify 1/2 into 1/2
3.667 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.667 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.667 * [taylor]: Taking taylor expansion of z in z
3.667 * [backup-simplify]: Simplify 0 into 0
3.667 * [backup-simplify]: Simplify 1 into 1
3.668 * [backup-simplify]: Simplify (* 1 1) into 1
3.668 * [backup-simplify]: Simplify (/ 1 1) into 1
3.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [taylor]: Taking taylor expansion of 0 in z
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [taylor]: Taking taylor expansion of 0 in z
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.672 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.672 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
3.673 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.673 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.673 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
3.673 * [backup-simplify]: Simplify (+ 0 0) into 0
3.675 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
3.675 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.678 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
3.678 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.678 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
3.679 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
3.679 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
3.682 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
3.682 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
3.682 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
3.689 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0
3.690 * [backup-simplify]: Simplify (+ 0 0) into 0
3.692 * [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))))))
3.692 * [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
3.692 * [taylor]: Taking taylor expansion of -1/2 in y
3.692 * [backup-simplify]: Simplify -1/2 into -1/2
3.692 * [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
3.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.692 * [taylor]: Taking taylor expansion of 1/4 in y
3.692 * [backup-simplify]: Simplify 1/4 into 1/4
3.692 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.692 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.692 * [taylor]: Taking taylor expansion of z in y
3.692 * [backup-simplify]: Simplify z into z
3.692 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.692 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.692 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.693 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
3.693 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.693 * [taylor]: Taking taylor expansion of 1/2 in y
3.693 * [backup-simplify]: Simplify 1/2 into 1/2
3.693 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.693 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.693 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.693 * [taylor]: Taking taylor expansion of z in y
3.693 * [backup-simplify]: Simplify z into z
3.693 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.693 * [taylor]: Taking taylor expansion of y in y
3.693 * [backup-simplify]: Simplify 0 into 0
3.693 * [backup-simplify]: Simplify 1 into 1
3.693 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.693 * [backup-simplify]: Simplify (* 1 1) into 1
3.693 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.693 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.693 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.693 * [taylor]: Taking taylor expansion of 1/4 in y
3.693 * [backup-simplify]: Simplify 1/4 into 1/4
3.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.694 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.694 * [taylor]: Taking taylor expansion of y in y
3.694 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify 1 into 1
3.694 * [backup-simplify]: Simplify (* 1 1) into 1
3.694 * [backup-simplify]: Simplify (* 1 1) into 1
3.694 * [backup-simplify]: Simplify (/ 1 1) into 1
3.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.695 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.696 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.696 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.698 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.703 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.703 * [backup-simplify]: Simplify (+ 0 0) into 0
3.704 * [backup-simplify]: Simplify (+ 0 0) into 0
3.704 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.705 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.705 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
3.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.706 * [backup-simplify]: Simplify (+ 0 0) into 0
3.706 * [backup-simplify]: Simplify (+ 0 0) into 0
3.706 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.707 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.707 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.708 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.708 * [taylor]: Taking taylor expansion of 0 in z
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [taylor]: Taking taylor expansion of 0 in z
3.708 * [backup-simplify]: Simplify 0 into 0
3.708 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.710 * [backup-simplify]: Simplify (+ 0 0) into 0
3.711 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.711 * [taylor]: Taking taylor expansion of 0 in z
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [taylor]: Taking taylor expansion of 0 in z
3.711 * [backup-simplify]: Simplify 0 into 0
3.711 * [taylor]: Taking taylor expansion of 0 in z
3.711 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.714 * [backup-simplify]: Simplify 0 into 0
3.714 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.714 * * * [progress]: simplifying candidates
3.714 * [simplify]: Simplifying:
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (+ (* (hypot x y) (hypot x y)) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  z
  x
  (* -1 x)
3.714 * * [simplify]: Extracting # 0 : cost  0
3.714 * * [simplify]: Extracting # 1 : cost  0
3.715 * * [simplify]: Extracting # 2 : cost  0
3.715 * * [simplify]: Extracting # 3 : cost  0
3.715 * * [simplify]: Extracting # 4 : cost  0
3.715 * * [simplify]: Extracting # 5 : cost  0
3.715 * * [simplify]: iteration  0 :  19  enodes  (cost  88 )
3.719 * * [simplify]: Extracting # 0 : cost  0
3.719 * * [simplify]: Extracting # 1 : cost  0
3.719 * * [simplify]: iteration  1 :  24  enodes  (cost  86 )
3.723 * * [simplify]: Extracting # 0 : cost  0
3.723 * * [simplify]: Extracting # 1 : cost  0
3.723 * * [simplify]: Extracting # 2 : cost  0
3.723 * * [simplify]: iteration  2 :  27  enodes  (cost  76 )
3.729 * * [simplify]: Extracting # 0 : cost  0
3.729 * * [simplify]: Extracting # 1 : cost  0
3.729 * * [simplify]: Extracting # 2 : cost  0
3.729 * * [simplify]: Extracting # 3 : cost  0
3.729 * * [simplify]: Extracting # 4 : cost  0
3.729 * * [simplify]: iteration  3 :  32  enodes  (cost  76 )
3.736 * * [simplify]: Extracting # 0 : cost  0
3.736 * * [simplify]: Extracting # 1 : cost  0
3.736 * * [simplify]: Extracting # 2 : cost  0
3.736 * * [simplify]: Extracting # 3 : cost  0
3.736 * * [simplify]: Extracting # 4 : cost  0
3.737 * * [simplify]: iteration  4 :  40  enodes  (cost  76 )
3.749 * * [simplify]: Extracting # 0 : cost  0
3.749 * * [simplify]: Extracting # 1 : cost  0
3.749 * * [simplify]: Extracting # 2 : cost  0
3.749 * * [simplify]: Extracting # 3 : cost  0
3.749 * * [simplify]: iteration  5 :  74  enodes  (cost  76 )
3.771 * * [simplify]: Extracting # 0 : cost  0
3.771 * * [simplify]: Extracting # 1 : cost  0
3.772 * * [simplify]: Extracting # 2 : cost  0
3.772 * * [simplify]: Extracting # 3 : cost  0
3.772 * * [simplify]: iteration  6 :  154  enodes  (cost  76 )
3.813 * * [simplify]: Extracting # 0 : cost  0
3.813 * * [simplify]: Extracting # 1 : cost  0
3.814 * * [simplify]: Extracting # 2 : cost  0
3.814 * * [simplify]: Extracting # 3 : cost  0
3.814 * * [simplify]: iteration  7 :  328  enodes  (cost  76 )
3.989 * * [simplify]: Extracting # 0 : cost  0
3.990 * * [simplify]: Extracting # 1 : cost  0
3.990 * * [simplify]: Extracting # 2 : cost  0
3.991 * * [simplify]: Extracting # 3 : cost  0
3.991 * * [simplify]: Extracting # 4 : cost  0
3.992 * * [simplify]: iteration  8 :  1000  enodes  (cost  76 )
4.815 * * [simplify]: Extracting # 0 : cost  0
4.833 * * [simplify]: Extracting # 1 : cost  0
4.841 * * [simplify]: Extracting # 2 : cost  0
4.847 * * [simplify]: Extracting # 3 : cost  0
4.853 * * [simplify]: Extracting # 4 : cost  0
4.859 * * [simplify]: Extracting # 5 : cost  0
4.868 * * [simplify]: iteration done:  5000  enodes  (cost  76 )
4.869 * [simplify]: Simplified to:
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (fma (hypot x y) (hypot x y) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (pow (hypot (hypot x y) z) 3)
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  z
  x
  (- x)
4.869 * * * [progress]: adding candidates to table
4.934 * * [progress]: iteration 4 / 4
4.934 * * * [progress]: picking best candidate
4.939 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))>
4.939 * * * [progress]: localizing error
4.957 * * * [progress]: generating rewritten candidates
4.957 * * * * [progress]: [ 1 / 4 ] rewriting at (2)
4.983 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
4.983 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1)
4.984 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
4.989 * * * [progress]: generating series expansions
4.989 * * * * [progress]: [ 1 / 4 ] generating series at (2)
4.990 * [backup-simplify]: Simplify (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) into (hypot (hypot x y) z)
4.990 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0
4.990 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z
4.990 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
4.990 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z
4.990 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
4.990 * [taylor]: Taking taylor expansion of (hypot x y) in z
4.990 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.990 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
4.990 * [taylor]: Taking taylor expansion of (* x x) in z
4.990 * [taylor]: Taking taylor expansion of x in z
4.990 * [backup-simplify]: Simplify x into x
4.990 * [taylor]: Taking taylor expansion of x in z
4.990 * [backup-simplify]: Simplify x into x
4.990 * [taylor]: Taking taylor expansion of (* y y) in z
4.990 * [taylor]: Taking taylor expansion of y in z
4.990 * [backup-simplify]: Simplify y into y
4.990 * [taylor]: Taking taylor expansion of y in z
4.990 * [backup-simplify]: Simplify y into y
4.990 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.990 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.991 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.991 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.991 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.991 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.992 * [backup-simplify]: Simplify (+ 0 0) into 0
4.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.992 * [taylor]: Taking taylor expansion of (hypot x y) in z
4.992 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.993 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
4.993 * [taylor]: Taking taylor expansion of (* x x) in z
4.993 * [taylor]: Taking taylor expansion of x in z
4.993 * [backup-simplify]: Simplify x into x
4.993 * [taylor]: Taking taylor expansion of x in z
4.993 * [backup-simplify]: Simplify x into x
4.993 * [taylor]: Taking taylor expansion of (* y y) in z
4.993 * [taylor]: Taking taylor expansion of y in z
4.993 * [backup-simplify]: Simplify y into y
4.993 * [taylor]: Taking taylor expansion of y in z
4.993 * [backup-simplify]: Simplify y into y
4.993 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.993 * [backup-simplify]: Simplify (* y y) into (pow y 2)
4.993 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
4.993 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.993 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.993 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
4.994 * [backup-simplify]: Simplify (+ 0 0) into 0
4.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.994 * [taylor]: Taking taylor expansion of (* z z) in z
4.994 * [taylor]: Taking taylor expansion of z in z
4.994 * [backup-simplify]: Simplify 0 into 0
4.994 * [backup-simplify]: Simplify 1 into 1
4.994 * [taylor]: Taking taylor expansion of z in z
4.994 * [backup-simplify]: Simplify 0 into 0
4.994 * [backup-simplify]: Simplify 1 into 1
4.995 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
4.995 * [backup-simplify]: Simplify (* 0 0) into 0
4.995 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
4.996 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
4.996 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.996 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.997 * [backup-simplify]: Simplify (+ 0 0) into 0
4.997 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
4.997 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y
4.997 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
4.997 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y
4.997 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
4.997 * [taylor]: Taking taylor expansion of (hypot x y) in y
4.997 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.997 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
4.997 * [taylor]: Taking taylor expansion of (* x x) in y
4.997 * [taylor]: Taking taylor expansion of x in y
4.997 * [backup-simplify]: Simplify x into x
4.997 * [taylor]: Taking taylor expansion of x in y
4.997 * [backup-simplify]: Simplify x into x
4.997 * [taylor]: Taking taylor expansion of (* y y) in y
4.998 * [taylor]: Taking taylor expansion of y in y
4.998 * [backup-simplify]: Simplify 0 into 0
4.998 * [backup-simplify]: Simplify 1 into 1
4.998 * [taylor]: Taking taylor expansion of y in y
4.998 * [backup-simplify]: Simplify 0 into 0
4.998 * [backup-simplify]: Simplify 1 into 1
4.998 * [backup-simplify]: Simplify (* x x) into (pow x 2)
4.998 * [backup-simplify]: Simplify (* 0 0) into 0
4.998 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
4.998 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
4.998 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
4.999 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.999 * [backup-simplify]: Simplify (+ 0 0) into 0
4.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
4.999 * [taylor]: Taking taylor expansion of (hypot x y) in y
4.999 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
4.999 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
4.999 * [taylor]: Taking taylor expansion of (* x x) in y
4.999 * [taylor]: Taking taylor expansion of x in y
4.999 * [backup-simplify]: Simplify x into x
4.999 * [taylor]: Taking taylor expansion of x in y
4.999 * [backup-simplify]: Simplify x into x
4.999 * [taylor]: Taking taylor expansion of (* y y) in y
4.999 * [taylor]: Taking taylor expansion of y in y
4.999 * [backup-simplify]: Simplify 0 into 0
4.999 * [backup-simplify]: Simplify 1 into 1
5.000 * [taylor]: Taking taylor expansion of y in y
5.000 * [backup-simplify]: Simplify 0 into 0
5.000 * [backup-simplify]: Simplify 1 into 1
5.000 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.000 * [backup-simplify]: Simplify (* 0 0) into 0
5.000 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.000 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.000 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.000 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.001 * [backup-simplify]: Simplify (+ 0 0) into 0
5.001 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.001 * [taylor]: Taking taylor expansion of (* z z) in y
5.001 * [taylor]: Taking taylor expansion of z in y
5.001 * [backup-simplify]: Simplify z into z
5.001 * [taylor]: Taking taylor expansion of z in y
5.001 * [backup-simplify]: Simplify z into z
5.001 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.001 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.001 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.001 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
5.001 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.002 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.002 * [backup-simplify]: Simplify (+ 0 0) into 0
5.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
5.002 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
5.002 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.002 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
5.002 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
5.002 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.003 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.003 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.003 * [taylor]: Taking taylor expansion of (* x x) in x
5.003 * [taylor]: Taking taylor expansion of x in x
5.003 * [backup-simplify]: Simplify 0 into 0
5.003 * [backup-simplify]: Simplify 1 into 1
5.003 * [taylor]: Taking taylor expansion of x in x
5.003 * [backup-simplify]: Simplify 0 into 0
5.003 * [backup-simplify]: Simplify 1 into 1
5.003 * [taylor]: Taking taylor expansion of (* y y) in x
5.003 * [taylor]: Taking taylor expansion of y in x
5.003 * [backup-simplify]: Simplify y into y
5.003 * [taylor]: Taking taylor expansion of y in x
5.003 * [backup-simplify]: Simplify y into y
5.003 * [backup-simplify]: Simplify (* 0 0) into 0
5.003 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.003 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.004 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.004 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.004 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.004 * [backup-simplify]: Simplify (+ 0 0) into 0
5.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.005 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.005 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.005 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.005 * [taylor]: Taking taylor expansion of (* x x) in x
5.005 * [taylor]: Taking taylor expansion of x in x
5.005 * [backup-simplify]: Simplify 0 into 0
5.005 * [backup-simplify]: Simplify 1 into 1
5.005 * [taylor]: Taking taylor expansion of x in x
5.005 * [backup-simplify]: Simplify 0 into 0
5.005 * [backup-simplify]: Simplify 1 into 1
5.005 * [taylor]: Taking taylor expansion of (* y y) in x
5.005 * [taylor]: Taking taylor expansion of y in x
5.005 * [backup-simplify]: Simplify y into y
5.005 * [taylor]: Taking taylor expansion of y in x
5.005 * [backup-simplify]: Simplify y into y
5.005 * [backup-simplify]: Simplify (* 0 0) into 0
5.005 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.006 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.006 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.006 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.006 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.007 * [backup-simplify]: Simplify (+ 0 0) into 0
5.007 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.007 * [taylor]: Taking taylor expansion of (* z z) in x
5.007 * [taylor]: Taking taylor expansion of z in x
5.007 * [backup-simplify]: Simplify z into z
5.007 * [taylor]: Taking taylor expansion of z in x
5.007 * [backup-simplify]: Simplify z into z
5.007 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.007 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.007 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.007 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.008 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.008 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.008 * [backup-simplify]: Simplify (+ 0 0) into 0
5.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.008 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
5.008 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.008 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
5.008 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
5.008 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.009 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.009 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.009 * [taylor]: Taking taylor expansion of (* x x) in x
5.009 * [taylor]: Taking taylor expansion of x in x
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 1 into 1
5.009 * [taylor]: Taking taylor expansion of x in x
5.009 * [backup-simplify]: Simplify 0 into 0
5.009 * [backup-simplify]: Simplify 1 into 1
5.009 * [taylor]: Taking taylor expansion of (* y y) in x
5.009 * [taylor]: Taking taylor expansion of y in x
5.009 * [backup-simplify]: Simplify y into y
5.009 * [taylor]: Taking taylor expansion of y in x
5.009 * [backup-simplify]: Simplify y into y
5.009 * [backup-simplify]: Simplify (* 0 0) into 0
5.009 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.009 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.009 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.010 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.010 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.010 * [backup-simplify]: Simplify (+ 0 0) into 0
5.010 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.011 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.011 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.011 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.011 * [taylor]: Taking taylor expansion of (* x x) in x
5.011 * [taylor]: Taking taylor expansion of x in x
5.011 * [backup-simplify]: Simplify 0 into 0
5.011 * [backup-simplify]: Simplify 1 into 1
5.011 * [taylor]: Taking taylor expansion of x in x
5.011 * [backup-simplify]: Simplify 0 into 0
5.011 * [backup-simplify]: Simplify 1 into 1
5.011 * [taylor]: Taking taylor expansion of (* y y) in x
5.011 * [taylor]: Taking taylor expansion of y in x
5.011 * [backup-simplify]: Simplify y into y
5.011 * [taylor]: Taking taylor expansion of y in x
5.011 * [backup-simplify]: Simplify y into y
5.011 * [backup-simplify]: Simplify (* 0 0) into 0
5.011 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.011 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.012 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.012 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.012 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.013 * [backup-simplify]: Simplify (+ 0 0) into 0
5.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.013 * [taylor]: Taking taylor expansion of (* z z) in x
5.013 * [taylor]: Taking taylor expansion of z in x
5.013 * [backup-simplify]: Simplify z into z
5.013 * [taylor]: Taking taylor expansion of z in x
5.013 * [backup-simplify]: Simplify z into z
5.013 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.013 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.013 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.013 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.013 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.013 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.014 * [backup-simplify]: Simplify (+ 0 0) into 0
5.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.014 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
5.014 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
5.014 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.014 * [taylor]: Taking taylor expansion of y in y
5.014 * [backup-simplify]: Simplify 0 into 0
5.014 * [backup-simplify]: Simplify 1 into 1
5.014 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.014 * [taylor]: Taking taylor expansion of z in y
5.014 * [backup-simplify]: Simplify z into z
5.014 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.015 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.015 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
5.015 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.015 * [backup-simplify]: Simplify (+ 0 0) into 0
5.015 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
5.015 * [taylor]: Taking taylor expansion of z in z
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 1 into 1
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [taylor]: Taking taylor expansion of 0 in y
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [taylor]: Taking taylor expansion of 0 in z
5.015 * [backup-simplify]: Simplify 0 into 0
5.015 * [backup-simplify]: Simplify 0 into 0
5.016 * [taylor]: Taking taylor expansion of 0 in z
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [backup-simplify]: Simplify 0 into 0
5.016 * [backup-simplify]: Simplify 1 into 1
5.016 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.017 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.017 * [backup-simplify]: Simplify (+ 1 0) into 1
5.018 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.018 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.019 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.019 * [backup-simplify]: Simplify (+ 1 0) into 1
5.020 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.020 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
5.021 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.021 * [backup-simplify]: Simplify (+ 1 0) into 1
5.022 * [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)))))
5.022 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
5.022 * [taylor]: Taking taylor expansion of 1/2 in y
5.022 * [backup-simplify]: Simplify 1/2 into 1/2
5.022 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
5.022 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
5.022 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
5.022 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.022 * [taylor]: Taking taylor expansion of y in y
5.022 * [backup-simplify]: Simplify 0 into 0
5.022 * [backup-simplify]: Simplify 1 into 1
5.022 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.022 * [taylor]: Taking taylor expansion of z in y
5.022 * [backup-simplify]: Simplify z into z
5.022 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.022 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.022 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.023 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
5.023 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.023 * [backup-simplify]: Simplify (+ 0 0) into 0
5.023 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
5.024 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
5.024 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
5.024 * [taylor]: Taking taylor expansion of 1/2 in z
5.024 * [backup-simplify]: Simplify 1/2 into 1/2
5.024 * [taylor]: Taking taylor expansion of z in z
5.024 * [backup-simplify]: Simplify 0 into 0
5.024 * [backup-simplify]: Simplify 1 into 1
5.024 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [taylor]: Taking taylor expansion of 0 in z
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify 0 into 0
5.025 * [backup-simplify]: Simplify (* 1 1) into 1
5.026 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.026 * [backup-simplify]: Simplify (+ 1 0) into 1
5.027 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
5.027 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
5.027 * [taylor]: Taking taylor expansion of 1/2 in z
5.027 * [backup-simplify]: Simplify 1/2 into 1/2
5.027 * [taylor]: Taking taylor expansion of z in z
5.027 * [backup-simplify]: Simplify 0 into 0
5.027 * [backup-simplify]: Simplify 1 into 1
5.027 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.028 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify 0 into 0
5.028 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
5.029 * [backup-simplify]: Simplify (* (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))) (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)))) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))
5.029 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0
5.029 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z
5.029 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.029 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z
5.029 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
5.029 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
5.029 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.029 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
5.029 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
5.029 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.029 * [taylor]: Taking taylor expansion of x in z
5.029 * [backup-simplify]: Simplify x into x
5.029 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.029 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.029 * [taylor]: Taking taylor expansion of x in z
5.029 * [backup-simplify]: Simplify x into x
5.029 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.029 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
5.029 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.029 * [taylor]: Taking taylor expansion of y in z
5.029 * [backup-simplify]: Simplify y into y
5.030 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.030 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.030 * [taylor]: Taking taylor expansion of y in z
5.030 * [backup-simplify]: Simplify y into y
5.030 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.030 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
5.030 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.030 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.030 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.031 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
5.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.031 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.031 * [backup-simplify]: Simplify (+ 0 0) into 0
5.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.032 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
5.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.032 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
5.032 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
5.032 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.032 * [taylor]: Taking taylor expansion of x in z
5.032 * [backup-simplify]: Simplify x into x
5.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.032 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.032 * [taylor]: Taking taylor expansion of x in z
5.032 * [backup-simplify]: Simplify x into x
5.032 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.032 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
5.032 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.032 * [taylor]: Taking taylor expansion of y in z
5.032 * [backup-simplify]: Simplify y into y
5.032 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.032 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.032 * [taylor]: Taking taylor expansion of y in z
5.032 * [backup-simplify]: Simplify y into y
5.032 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.032 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
5.033 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.033 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.033 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.033 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
5.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.034 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.034 * [backup-simplify]: Simplify (+ 0 0) into 0
5.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.034 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
5.034 * [taylor]: Taking taylor expansion of (/ 1 z) in z
5.035 * [taylor]: Taking taylor expansion of z in z
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify 1 into 1
5.035 * [backup-simplify]: Simplify (/ 1 1) into 1
5.035 * [taylor]: Taking taylor expansion of (/ 1 z) in z
5.035 * [taylor]: Taking taylor expansion of z in z
5.035 * [backup-simplify]: Simplify 0 into 0
5.035 * [backup-simplify]: Simplify 1 into 1
5.035 * [backup-simplify]: Simplify (/ 1 1) into 1
5.036 * [backup-simplify]: Simplify (* 1 1) into 1
5.036 * [backup-simplify]: Simplify (+ 0 1) into 1
5.036 * [backup-simplify]: Simplify (sqrt 1) into 1
5.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.038 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.038 * [backup-simplify]: Simplify (+ 0 0) into 0
5.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.039 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y
5.039 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.039 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y
5.039 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
5.039 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
5.040 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.040 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
5.040 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
5.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.040 * [taylor]: Taking taylor expansion of x in y
5.040 * [backup-simplify]: Simplify x into x
5.040 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.040 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.040 * [taylor]: Taking taylor expansion of x in y
5.040 * [backup-simplify]: Simplify x into x
5.040 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.040 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
5.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.040 * [taylor]: Taking taylor expansion of y in y
5.040 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify 1 into 1
5.040 * [backup-simplify]: Simplify (/ 1 1) into 1
5.040 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.040 * [taylor]: Taking taylor expansion of y in y
5.040 * [backup-simplify]: Simplify 0 into 0
5.040 * [backup-simplify]: Simplify 1 into 1
5.041 * [backup-simplify]: Simplify (/ 1 1) into 1
5.041 * [backup-simplify]: Simplify (* 1 1) into 1
5.041 * [backup-simplify]: Simplify (+ 0 1) into 1
5.042 * [backup-simplify]: Simplify (sqrt 1) into 1
5.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.044 * [backup-simplify]: Simplify (+ 0 0) into 0
5.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.044 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
5.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.045 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
5.045 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
5.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.045 * [taylor]: Taking taylor expansion of x in y
5.045 * [backup-simplify]: Simplify x into x
5.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.045 * [taylor]: Taking taylor expansion of x in y
5.045 * [backup-simplify]: Simplify x into x
5.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.045 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
5.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.045 * [taylor]: Taking taylor expansion of y in y
5.045 * [backup-simplify]: Simplify 0 into 0
5.045 * [backup-simplify]: Simplify 1 into 1
5.046 * [backup-simplify]: Simplify (/ 1 1) into 1
5.046 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.046 * [taylor]: Taking taylor expansion of y in y
5.046 * [backup-simplify]: Simplify 0 into 0
5.046 * [backup-simplify]: Simplify 1 into 1
5.046 * [backup-simplify]: Simplify (/ 1 1) into 1
5.046 * [backup-simplify]: Simplify (* 1 1) into 1
5.047 * [backup-simplify]: Simplify (+ 0 1) into 1
5.047 * [backup-simplify]: Simplify (sqrt 1) into 1
5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.049 * [backup-simplify]: Simplify (+ 0 0) into 0
5.050 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.050 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
5.050 * [taylor]: Taking taylor expansion of (/ 1 z) in y
5.050 * [taylor]: Taking taylor expansion of z in y
5.050 * [backup-simplify]: Simplify z into z
5.050 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.050 * [taylor]: Taking taylor expansion of (/ 1 z) in y
5.050 * [taylor]: Taking taylor expansion of z in y
5.050 * [backup-simplify]: Simplify z into z
5.050 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.050 * [backup-simplify]: Simplify (* 1 1) into 1
5.051 * [backup-simplify]: Simplify (+ 1 0) into 1
5.051 * [backup-simplify]: Simplify (sqrt 1) into 1
5.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.052 * [backup-simplify]: Simplify (+ 0 0) into 0
5.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.053 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
5.053 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.053 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
5.053 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
5.053 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.053 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.053 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.053 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.053 * [taylor]: Taking taylor expansion of x in x
5.053 * [backup-simplify]: Simplify 0 into 0
5.053 * [backup-simplify]: Simplify 1 into 1
5.054 * [backup-simplify]: Simplify (/ 1 1) into 1
5.054 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.054 * [taylor]: Taking taylor expansion of x in x
5.054 * [backup-simplify]: Simplify 0 into 0
5.054 * [backup-simplify]: Simplify 1 into 1
5.054 * [backup-simplify]: Simplify (/ 1 1) into 1
5.054 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.054 * [taylor]: Taking taylor expansion of y in x
5.054 * [backup-simplify]: Simplify y into y
5.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.054 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.054 * [taylor]: Taking taylor expansion of y in x
5.054 * [backup-simplify]: Simplify y into y
5.054 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.055 * [backup-simplify]: Simplify (* 1 1) into 1
5.055 * [backup-simplify]: Simplify (+ 1 0) into 1
5.055 * [backup-simplify]: Simplify (sqrt 1) into 1
5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.057 * [backup-simplify]: Simplify (+ 0 0) into 0
5.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.058 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.058 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.058 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.058 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.058 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.058 * [taylor]: Taking taylor expansion of x in x
5.058 * [backup-simplify]: Simplify 0 into 0
5.058 * [backup-simplify]: Simplify 1 into 1
5.059 * [backup-simplify]: Simplify (/ 1 1) into 1
5.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.059 * [taylor]: Taking taylor expansion of x in x
5.059 * [backup-simplify]: Simplify 0 into 0
5.059 * [backup-simplify]: Simplify 1 into 1
5.059 * [backup-simplify]: Simplify (/ 1 1) into 1
5.059 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.059 * [taylor]: Taking taylor expansion of y in x
5.059 * [backup-simplify]: Simplify y into y
5.059 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.059 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.059 * [taylor]: Taking taylor expansion of y in x
5.059 * [backup-simplify]: Simplify y into y
5.059 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.060 * [backup-simplify]: Simplify (* 1 1) into 1
5.060 * [backup-simplify]: Simplify (+ 1 0) into 1
5.060 * [backup-simplify]: Simplify (sqrt 1) into 1
5.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.062 * [backup-simplify]: Simplify (+ 0 0) into 0
5.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.063 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
5.063 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.063 * [taylor]: Taking taylor expansion of z in x
5.063 * [backup-simplify]: Simplify z into z
5.063 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.063 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.063 * [taylor]: Taking taylor expansion of z in x
5.063 * [backup-simplify]: Simplify z into z
5.063 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.064 * [backup-simplify]: Simplify (* 1 1) into 1
5.064 * [backup-simplify]: Simplify (+ 1 0) into 1
5.065 * [backup-simplify]: Simplify (sqrt 1) into 1
5.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.065 * [backup-simplify]: Simplify (+ 0 0) into 0
5.066 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.066 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
5.066 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.066 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
5.066 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
5.066 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.066 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.067 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.067 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.067 * [taylor]: Taking taylor expansion of x in x
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [backup-simplify]: Simplify 1 into 1
5.067 * [backup-simplify]: Simplify (/ 1 1) into 1
5.067 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.067 * [taylor]: Taking taylor expansion of x in x
5.067 * [backup-simplify]: Simplify 0 into 0
5.067 * [backup-simplify]: Simplify 1 into 1
5.067 * [backup-simplify]: Simplify (/ 1 1) into 1
5.067 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.068 * [taylor]: Taking taylor expansion of y in x
5.068 * [backup-simplify]: Simplify y into y
5.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.068 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.068 * [taylor]: Taking taylor expansion of y in x
5.068 * [backup-simplify]: Simplify y into y
5.068 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.068 * [backup-simplify]: Simplify (* 1 1) into 1
5.069 * [backup-simplify]: Simplify (+ 1 0) into 1
5.069 * [backup-simplify]: Simplify (sqrt 1) into 1
5.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.071 * [backup-simplify]: Simplify (+ 0 0) into 0
5.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.072 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.072 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.072 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.072 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.072 * [taylor]: Taking taylor expansion of x in x
5.072 * [backup-simplify]: Simplify 0 into 0
5.072 * [backup-simplify]: Simplify 1 into 1
5.072 * [backup-simplify]: Simplify (/ 1 1) into 1
5.072 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.073 * [taylor]: Taking taylor expansion of x in x
5.073 * [backup-simplify]: Simplify 0 into 0
5.073 * [backup-simplify]: Simplify 1 into 1
5.073 * [backup-simplify]: Simplify (/ 1 1) into 1
5.073 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.073 * [taylor]: Taking taylor expansion of y in x
5.073 * [backup-simplify]: Simplify y into y
5.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.073 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.073 * [taylor]: Taking taylor expansion of y in x
5.073 * [backup-simplify]: Simplify y into y
5.073 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.074 * [backup-simplify]: Simplify (* 1 1) into 1
5.074 * [backup-simplify]: Simplify (+ 1 0) into 1
5.074 * [backup-simplify]: Simplify (sqrt 1) into 1
5.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.077 * [backup-simplify]: Simplify (+ 0 0) into 0
5.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.077 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
5.077 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.077 * [taylor]: Taking taylor expansion of z in x
5.077 * [backup-simplify]: Simplify z into z
5.077 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.077 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.077 * [taylor]: Taking taylor expansion of z in x
5.077 * [backup-simplify]: Simplify z into z
5.077 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.078 * [backup-simplify]: Simplify (* 1 1) into 1
5.078 * [backup-simplify]: Simplify (+ 1 0) into 1
5.078 * [backup-simplify]: Simplify (sqrt 1) into 1
5.079 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.079 * [backup-simplify]: Simplify (+ 0 0) into 0
5.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.080 * [taylor]: Taking taylor expansion of 1 in y
5.080 * [backup-simplify]: Simplify 1 into 1
5.080 * [taylor]: Taking taylor expansion of 0 in y
5.080 * [backup-simplify]: Simplify 0 into 0
5.080 * [taylor]: Taking taylor expansion of 1 in z
5.080 * [backup-simplify]: Simplify 1 into 1
5.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.082 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.082 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.083 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.084 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.086 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.086 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.087 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.088 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
5.088 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2))
5.088 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
5.090 * [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))))
5.090 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
5.090 * [taylor]: Taking taylor expansion of 1/2 in y
5.090 * [backup-simplify]: Simplify 1/2 into 1/2
5.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
5.090 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.090 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.090 * [taylor]: Taking taylor expansion of z in y
5.090 * [backup-simplify]: Simplify z into z
5.090 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.090 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.090 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.090 * [taylor]: Taking taylor expansion of y in y
5.090 * [backup-simplify]: Simplify 0 into 0
5.090 * [backup-simplify]: Simplify 1 into 1
5.091 * [backup-simplify]: Simplify (* 1 1) into 1
5.091 * [backup-simplify]: Simplify (/ 1 1) into 1
5.091 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.098 * [backup-simplify]: Simplify (+ 0 0) into 0
5.098 * [backup-simplify]: Simplify (+ 0 1) into 1
5.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.099 * [taylor]: Taking taylor expansion of 0 in z
5.099 * [backup-simplify]: Simplify 0 into 0
5.099 * [taylor]: Taking taylor expansion of 0 in z
5.099 * [backup-simplify]: Simplify 0 into 0
5.099 * [taylor]: Taking taylor expansion of 0 in z
5.099 * [backup-simplify]: Simplify 0 into 0
5.099 * [backup-simplify]: Simplify 1 into 1
5.100 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.102 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.102 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.102 * [backup-simplify]: Simplify (+ 0 0) into 0
5.103 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.106 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.106 * [backup-simplify]: Simplify (+ 0 0) into 0
5.106 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.107 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
5.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
5.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
5.108 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0
5.108 * [backup-simplify]: Simplify (+ 0 0) into 0
5.109 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
5.109 * [taylor]: Taking taylor expansion of 0 in y
5.109 * [backup-simplify]: Simplify 0 into 0
5.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.110 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
5.111 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
5.111 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
5.111 * [taylor]: Taking taylor expansion of 1/2 in z
5.111 * [backup-simplify]: Simplify 1/2 into 1/2
5.111 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.111 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.111 * [taylor]: Taking taylor expansion of z in z
5.111 * [backup-simplify]: Simplify 0 into 0
5.111 * [backup-simplify]: Simplify 1 into 1
5.112 * [backup-simplify]: Simplify (* 1 1) into 1
5.112 * [backup-simplify]: Simplify (/ 1 1) into 1
5.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [taylor]: Taking taylor expansion of 0 in z
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [taylor]: Taking taylor expansion of 0 in z
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [backup-simplify]: Simplify 0 into 0
5.114 * [backup-simplify]: Simplify 0 into 0
5.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.116 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.117 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.117 * [backup-simplify]: Simplify (+ 0 0) into 0
5.118 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.121 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.122 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.122 * [backup-simplify]: Simplify (+ 0 0) into 0
5.123 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.124 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
5.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.125 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0
5.125 * [backup-simplify]: Simplify (+ 0 0) into 0
5.127 * [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))))))
5.127 * [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
5.127 * [taylor]: Taking taylor expansion of -1/2 in y
5.127 * [backup-simplify]: Simplify -1/2 into -1/2
5.127 * [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
5.127 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
5.127 * [taylor]: Taking taylor expansion of 1/4 in y
5.127 * [backup-simplify]: Simplify 1/4 into 1/4
5.127 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
5.127 * [taylor]: Taking taylor expansion of (pow z 4) in y
5.127 * [taylor]: Taking taylor expansion of z in y
5.127 * [backup-simplify]: Simplify z into z
5.127 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.127 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
5.128 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
5.128 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
5.128 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
5.128 * [taylor]: Taking taylor expansion of 1/2 in y
5.128 * [backup-simplify]: Simplify 1/2 into 1/2
5.128 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
5.128 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
5.128 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.128 * [taylor]: Taking taylor expansion of z in y
5.128 * [backup-simplify]: Simplify z into z
5.128 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.128 * [taylor]: Taking taylor expansion of y in y
5.128 * [backup-simplify]: Simplify 0 into 0
5.128 * [backup-simplify]: Simplify 1 into 1
5.128 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.128 * [backup-simplify]: Simplify (* 1 1) into 1
5.128 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
5.128 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.129 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
5.129 * [taylor]: Taking taylor expansion of 1/4 in y
5.129 * [backup-simplify]: Simplify 1/4 into 1/4
5.129 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
5.129 * [taylor]: Taking taylor expansion of (pow y 4) in y
5.129 * [taylor]: Taking taylor expansion of y in y
5.129 * [backup-simplify]: Simplify 0 into 0
5.129 * [backup-simplify]: Simplify 1 into 1
5.129 * [backup-simplify]: Simplify (* 1 1) into 1
5.129 * [backup-simplify]: Simplify (* 1 1) into 1
5.130 * [backup-simplify]: Simplify (/ 1 1) into 1
5.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.130 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.131 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
5.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.131 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
5.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.140 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.140 * [backup-simplify]: Simplify (+ 0 0) into 0
5.141 * [backup-simplify]: Simplify (+ 0 0) into 0
5.141 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
5.142 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.142 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
5.142 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
5.143 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.143 * [backup-simplify]: Simplify (+ 0 0) into 0
5.144 * [backup-simplify]: Simplify (+ 0 0) into 0
5.144 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.145 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.145 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.146 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.146 * [taylor]: Taking taylor expansion of 0 in z
5.146 * [backup-simplify]: Simplify 0 into 0
5.146 * [taylor]: Taking taylor expansion of 0 in z
5.146 * [backup-simplify]: Simplify 0 into 0
5.146 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.149 * [backup-simplify]: Simplify (+ 0 0) into 0
5.150 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
5.150 * [taylor]: Taking taylor expansion of 0 in z
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [taylor]: Taking taylor expansion of 0 in z
5.150 * [backup-simplify]: Simplify 0 into 0
5.150 * [taylor]: Taking taylor expansion of 0 in z
5.150 * [backup-simplify]: Simplify 0 into 0
5.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.152 * [backup-simplify]: Simplify 0 into 0
5.153 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
5.153 * [backup-simplify]: Simplify (* (sqrt (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z)))) (sqrt (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))
5.153 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0
5.153 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z
5.153 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.153 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z
5.153 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
5.153 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
5.154 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.154 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
5.154 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
5.154 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.154 * [taylor]: Taking taylor expansion of -1 in z
5.154 * [backup-simplify]: Simplify -1 into -1
5.154 * [taylor]: Taking taylor expansion of x in z
5.154 * [backup-simplify]: Simplify x into x
5.154 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.154 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.154 * [taylor]: Taking taylor expansion of -1 in z
5.154 * [backup-simplify]: Simplify -1 into -1
5.154 * [taylor]: Taking taylor expansion of x in z
5.154 * [backup-simplify]: Simplify x into x
5.154 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.154 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
5.154 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.154 * [taylor]: Taking taylor expansion of -1 in z
5.154 * [backup-simplify]: Simplify -1 into -1
5.154 * [taylor]: Taking taylor expansion of y in z
5.154 * [backup-simplify]: Simplify y into y
5.154 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.154 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.154 * [taylor]: Taking taylor expansion of -1 in z
5.154 * [backup-simplify]: Simplify -1 into -1
5.154 * [taylor]: Taking taylor expansion of y in z
5.154 * [backup-simplify]: Simplify y into y
5.154 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.154 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
5.154 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.155 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.155 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.155 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.155 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.156 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
5.156 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.156 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.156 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.156 * [backup-simplify]: Simplify (+ 0 0) into 0
5.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.157 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
5.157 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.157 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
5.157 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
5.157 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.157 * [taylor]: Taking taylor expansion of -1 in z
5.157 * [backup-simplify]: Simplify -1 into -1
5.157 * [taylor]: Taking taylor expansion of x in z
5.157 * [backup-simplify]: Simplify x into x
5.157 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.157 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.157 * [taylor]: Taking taylor expansion of -1 in z
5.157 * [backup-simplify]: Simplify -1 into -1
5.157 * [taylor]: Taking taylor expansion of x in z
5.157 * [backup-simplify]: Simplify x into x
5.157 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.157 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
5.157 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.157 * [taylor]: Taking taylor expansion of -1 in z
5.157 * [backup-simplify]: Simplify -1 into -1
5.157 * [taylor]: Taking taylor expansion of y in z
5.157 * [backup-simplify]: Simplify y into y
5.158 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.158 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.158 * [taylor]: Taking taylor expansion of -1 in z
5.158 * [backup-simplify]: Simplify -1 into -1
5.158 * [taylor]: Taking taylor expansion of y in z
5.158 * [backup-simplify]: Simplify y into y
5.158 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.158 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
5.158 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.158 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.158 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.158 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.159 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.159 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
5.159 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.159 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.159 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.160 * [backup-simplify]: Simplify (+ 0 0) into 0
5.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.160 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
5.160 * [taylor]: Taking taylor expansion of (/ -1 z) in z
5.160 * [taylor]: Taking taylor expansion of -1 in z
5.160 * [backup-simplify]: Simplify -1 into -1
5.160 * [taylor]: Taking taylor expansion of z in z
5.160 * [backup-simplify]: Simplify 0 into 0
5.160 * [backup-simplify]: Simplify 1 into 1
5.160 * [backup-simplify]: Simplify (/ -1 1) into -1
5.160 * [taylor]: Taking taylor expansion of (/ -1 z) in z
5.160 * [taylor]: Taking taylor expansion of -1 in z
5.160 * [backup-simplify]: Simplify -1 into -1
5.161 * [taylor]: Taking taylor expansion of z in z
5.161 * [backup-simplify]: Simplify 0 into 0
5.161 * [backup-simplify]: Simplify 1 into 1
5.161 * [backup-simplify]: Simplify (/ -1 1) into -1
5.161 * [backup-simplify]: Simplify (* -1 -1) into 1
5.162 * [backup-simplify]: Simplify (+ 0 1) into 1
5.162 * [backup-simplify]: Simplify (sqrt 1) into 1
5.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.164 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.164 * [backup-simplify]: Simplify (+ 0 0) into 0
5.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.165 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y
5.165 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.165 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y
5.165 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
5.165 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
5.165 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.165 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
5.165 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
5.165 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.165 * [taylor]: Taking taylor expansion of -1 in y
5.165 * [backup-simplify]: Simplify -1 into -1
5.165 * [taylor]: Taking taylor expansion of x in y
5.165 * [backup-simplify]: Simplify x into x
5.165 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.165 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.165 * [taylor]: Taking taylor expansion of -1 in y
5.165 * [backup-simplify]: Simplify -1 into -1
5.165 * [taylor]: Taking taylor expansion of x in y
5.165 * [backup-simplify]: Simplify x into x
5.165 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.165 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
5.165 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.165 * [taylor]: Taking taylor expansion of -1 in y
5.165 * [backup-simplify]: Simplify -1 into -1
5.165 * [taylor]: Taking taylor expansion of y in y
5.166 * [backup-simplify]: Simplify 0 into 0
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify (/ -1 1) into -1
5.166 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.166 * [taylor]: Taking taylor expansion of -1 in y
5.166 * [backup-simplify]: Simplify -1 into -1
5.166 * [taylor]: Taking taylor expansion of y in y
5.166 * [backup-simplify]: Simplify 0 into 0
5.166 * [backup-simplify]: Simplify 1 into 1
5.166 * [backup-simplify]: Simplify (/ -1 1) into -1
5.167 * [backup-simplify]: Simplify (* -1 -1) into 1
5.167 * [backup-simplify]: Simplify (+ 0 1) into 1
5.167 * [backup-simplify]: Simplify (sqrt 1) into 1
5.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.169 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.169 * [backup-simplify]: Simplify (+ 0 0) into 0
5.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.170 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
5.170 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.170 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
5.170 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
5.170 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.170 * [taylor]: Taking taylor expansion of -1 in y
5.170 * [backup-simplify]: Simplify -1 into -1
5.170 * [taylor]: Taking taylor expansion of x in y
5.170 * [backup-simplify]: Simplify x into x
5.170 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.171 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.171 * [taylor]: Taking taylor expansion of -1 in y
5.171 * [backup-simplify]: Simplify -1 into -1
5.171 * [taylor]: Taking taylor expansion of x in y
5.171 * [backup-simplify]: Simplify x into x
5.171 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.171 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
5.171 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.171 * [taylor]: Taking taylor expansion of -1 in y
5.171 * [backup-simplify]: Simplify -1 into -1
5.171 * [taylor]: Taking taylor expansion of y in y
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 1 into 1
5.171 * [backup-simplify]: Simplify (/ -1 1) into -1
5.171 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.171 * [taylor]: Taking taylor expansion of -1 in y
5.171 * [backup-simplify]: Simplify -1 into -1
5.171 * [taylor]: Taking taylor expansion of y in y
5.171 * [backup-simplify]: Simplify 0 into 0
5.171 * [backup-simplify]: Simplify 1 into 1
5.172 * [backup-simplify]: Simplify (/ -1 1) into -1
5.172 * [backup-simplify]: Simplify (* -1 -1) into 1
5.172 * [backup-simplify]: Simplify (+ 0 1) into 1
5.173 * [backup-simplify]: Simplify (sqrt 1) into 1
5.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.175 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.175 * [backup-simplify]: Simplify (+ 0 0) into 0
5.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.176 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
5.176 * [taylor]: Taking taylor expansion of (/ -1 z) in y
5.176 * [taylor]: Taking taylor expansion of -1 in y
5.176 * [backup-simplify]: Simplify -1 into -1
5.176 * [taylor]: Taking taylor expansion of z in y
5.176 * [backup-simplify]: Simplify z into z
5.176 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.176 * [taylor]: Taking taylor expansion of (/ -1 z) in y
5.176 * [taylor]: Taking taylor expansion of -1 in y
5.176 * [backup-simplify]: Simplify -1 into -1
5.176 * [taylor]: Taking taylor expansion of z in y
5.176 * [backup-simplify]: Simplify z into z
5.176 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.177 * [backup-simplify]: Simplify (* 1 1) into 1
5.177 * [backup-simplify]: Simplify (+ 1 0) into 1
5.177 * [backup-simplify]: Simplify (sqrt 1) into 1
5.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.178 * [backup-simplify]: Simplify (+ 0 0) into 0
5.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.179 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
5.179 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.179 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
5.179 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
5.179 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.179 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.179 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.179 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.179 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.179 * [taylor]: Taking taylor expansion of -1 in x
5.179 * [backup-simplify]: Simplify -1 into -1
5.179 * [taylor]: Taking taylor expansion of x in x
5.179 * [backup-simplify]: Simplify 0 into 0
5.179 * [backup-simplify]: Simplify 1 into 1
5.180 * [backup-simplify]: Simplify (/ -1 1) into -1
5.180 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.180 * [taylor]: Taking taylor expansion of -1 in x
5.180 * [backup-simplify]: Simplify -1 into -1
5.180 * [taylor]: Taking taylor expansion of x in x
5.180 * [backup-simplify]: Simplify 0 into 0
5.180 * [backup-simplify]: Simplify 1 into 1
5.180 * [backup-simplify]: Simplify (/ -1 1) into -1
5.180 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.180 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.180 * [taylor]: Taking taylor expansion of -1 in x
5.180 * [backup-simplify]: Simplify -1 into -1
5.180 * [taylor]: Taking taylor expansion of y in x
5.180 * [backup-simplify]: Simplify y into y
5.181 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.181 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.181 * [taylor]: Taking taylor expansion of -1 in x
5.181 * [backup-simplify]: Simplify -1 into -1
5.181 * [taylor]: Taking taylor expansion of y in x
5.181 * [backup-simplify]: Simplify y into y
5.181 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.181 * [backup-simplify]: Simplify (* -1 -1) into 1
5.182 * [backup-simplify]: Simplify (+ 1 0) into 1
5.182 * [backup-simplify]: Simplify (sqrt 1) into 1
5.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.183 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.184 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.184 * [backup-simplify]: Simplify (+ 0 0) into 0
5.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.185 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.185 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.185 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.185 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.185 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.185 * [taylor]: Taking taylor expansion of -1 in x
5.185 * [backup-simplify]: Simplify -1 into -1
5.185 * [taylor]: Taking taylor expansion of x in x
5.185 * [backup-simplify]: Simplify 0 into 0
5.185 * [backup-simplify]: Simplify 1 into 1
5.186 * [backup-simplify]: Simplify (/ -1 1) into -1
5.186 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.186 * [taylor]: Taking taylor expansion of -1 in x
5.186 * [backup-simplify]: Simplify -1 into -1
5.186 * [taylor]: Taking taylor expansion of x in x
5.186 * [backup-simplify]: Simplify 0 into 0
5.186 * [backup-simplify]: Simplify 1 into 1
5.186 * [backup-simplify]: Simplify (/ -1 1) into -1
5.186 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.186 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.186 * [taylor]: Taking taylor expansion of -1 in x
5.186 * [backup-simplify]: Simplify -1 into -1
5.187 * [taylor]: Taking taylor expansion of y in x
5.187 * [backup-simplify]: Simplify y into y
5.187 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.187 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.187 * [taylor]: Taking taylor expansion of -1 in x
5.187 * [backup-simplify]: Simplify -1 into -1
5.187 * [taylor]: Taking taylor expansion of y in x
5.187 * [backup-simplify]: Simplify y into y
5.187 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.187 * [backup-simplify]: Simplify (* -1 -1) into 1
5.188 * [backup-simplify]: Simplify (+ 1 0) into 1
5.188 * [backup-simplify]: Simplify (sqrt 1) into 1
5.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.189 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.190 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.190 * [backup-simplify]: Simplify (+ 0 0) into 0
5.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.191 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
5.191 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.191 * [taylor]: Taking taylor expansion of -1 in x
5.191 * [backup-simplify]: Simplify -1 into -1
5.191 * [taylor]: Taking taylor expansion of z in x
5.191 * [backup-simplify]: Simplify z into z
5.191 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.191 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.191 * [taylor]: Taking taylor expansion of -1 in x
5.191 * [backup-simplify]: Simplify -1 into -1
5.191 * [taylor]: Taking taylor expansion of z in x
5.191 * [backup-simplify]: Simplify z into z
5.192 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.192 * [backup-simplify]: Simplify (* 1 1) into 1
5.192 * [backup-simplify]: Simplify (+ 1 0) into 1
5.193 * [backup-simplify]: Simplify (sqrt 1) into 1
5.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.194 * [backup-simplify]: Simplify (+ 0 0) into 0
5.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.194 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
5.194 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.194 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
5.194 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
5.194 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.195 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.195 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.195 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.195 * [taylor]: Taking taylor expansion of -1 in x
5.195 * [backup-simplify]: Simplify -1 into -1
5.195 * [taylor]: Taking taylor expansion of x in x
5.195 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify 1 into 1
5.195 * [backup-simplify]: Simplify (/ -1 1) into -1
5.195 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.195 * [taylor]: Taking taylor expansion of -1 in x
5.195 * [backup-simplify]: Simplify -1 into -1
5.195 * [taylor]: Taking taylor expansion of x in x
5.195 * [backup-simplify]: Simplify 0 into 0
5.195 * [backup-simplify]: Simplify 1 into 1
5.196 * [backup-simplify]: Simplify (/ -1 1) into -1
5.196 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.196 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.196 * [taylor]: Taking taylor expansion of -1 in x
5.196 * [backup-simplify]: Simplify -1 into -1
5.196 * [taylor]: Taking taylor expansion of y in x
5.196 * [backup-simplify]: Simplify y into y
5.196 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.196 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.196 * [taylor]: Taking taylor expansion of -1 in x
5.196 * [backup-simplify]: Simplify -1 into -1
5.196 * [taylor]: Taking taylor expansion of y in x
5.196 * [backup-simplify]: Simplify y into y
5.196 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.197 * [backup-simplify]: Simplify (* -1 -1) into 1
5.197 * [backup-simplify]: Simplify (+ 1 0) into 1
5.197 * [backup-simplify]: Simplify (sqrt 1) into 1
5.198 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.199 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.200 * [backup-simplify]: Simplify (+ 0 0) into 0
5.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.200 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.201 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.201 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.201 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.201 * [taylor]: Taking taylor expansion of -1 in x
5.201 * [backup-simplify]: Simplify -1 into -1
5.201 * [taylor]: Taking taylor expansion of x in x
5.201 * [backup-simplify]: Simplify 0 into 0
5.201 * [backup-simplify]: Simplify 1 into 1
5.201 * [backup-simplify]: Simplify (/ -1 1) into -1
5.201 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.201 * [taylor]: Taking taylor expansion of -1 in x
5.201 * [backup-simplify]: Simplify -1 into -1
5.201 * [taylor]: Taking taylor expansion of x in x
5.201 * [backup-simplify]: Simplify 0 into 0
5.202 * [backup-simplify]: Simplify 1 into 1
5.202 * [backup-simplify]: Simplify (/ -1 1) into -1
5.202 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.202 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.202 * [taylor]: Taking taylor expansion of -1 in x
5.202 * [backup-simplify]: Simplify -1 into -1
5.202 * [taylor]: Taking taylor expansion of y in x
5.202 * [backup-simplify]: Simplify y into y
5.202 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.202 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.202 * [taylor]: Taking taylor expansion of -1 in x
5.202 * [backup-simplify]: Simplify -1 into -1
5.202 * [taylor]: Taking taylor expansion of y in x
5.202 * [backup-simplify]: Simplify y into y
5.202 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.203 * [backup-simplify]: Simplify (* -1 -1) into 1
5.203 * [backup-simplify]: Simplify (+ 1 0) into 1
5.203 * [backup-simplify]: Simplify (sqrt 1) into 1
5.204 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.205 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.205 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.206 * [backup-simplify]: Simplify (+ 0 0) into 0
5.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.207 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
5.207 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.207 * [taylor]: Taking taylor expansion of -1 in x
5.207 * [backup-simplify]: Simplify -1 into -1
5.207 * [taylor]: Taking taylor expansion of z in x
5.207 * [backup-simplify]: Simplify z into z
5.207 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.207 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.207 * [taylor]: Taking taylor expansion of -1 in x
5.207 * [backup-simplify]: Simplify -1 into -1
5.207 * [taylor]: Taking taylor expansion of z in x
5.207 * [backup-simplify]: Simplify z into z
5.207 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.207 * [backup-simplify]: Simplify (* 1 1) into 1
5.208 * [backup-simplify]: Simplify (+ 1 0) into 1
5.208 * [backup-simplify]: Simplify (sqrt 1) into 1
5.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.209 * [backup-simplify]: Simplify (+ 0 0) into 0
5.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.210 * [taylor]: Taking taylor expansion of 1 in y
5.210 * [backup-simplify]: Simplify 1 into 1
5.210 * [taylor]: Taking taylor expansion of 0 in y
5.210 * [backup-simplify]: Simplify 0 into 0
5.210 * [taylor]: Taking taylor expansion of 1 in z
5.210 * [backup-simplify]: Simplify 1 into 1
5.211 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.213 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.213 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.213 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.214 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.217 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.217 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.218 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.219 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
5.219 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2))
5.220 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
5.221 * [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))))
5.221 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
5.221 * [taylor]: Taking taylor expansion of 1/2 in y
5.221 * [backup-simplify]: Simplify 1/2 into 1/2
5.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
5.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.221 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.221 * [taylor]: Taking taylor expansion of z in y
5.221 * [backup-simplify]: Simplify z into z
5.221 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.221 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.221 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.221 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.221 * [taylor]: Taking taylor expansion of y in y
5.221 * [backup-simplify]: Simplify 0 into 0
5.221 * [backup-simplify]: Simplify 1 into 1
5.222 * [backup-simplify]: Simplify (* 1 1) into 1
5.222 * [backup-simplify]: Simplify (/ 1 1) into 1
5.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.224 * [backup-simplify]: Simplify (+ 0 0) into 0
5.224 * [backup-simplify]: Simplify (+ 0 1) into 1
5.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.225 * [taylor]: Taking taylor expansion of 0 in z
5.225 * [backup-simplify]: Simplify 0 into 0
5.225 * [taylor]: Taking taylor expansion of 0 in z
5.225 * [backup-simplify]: Simplify 0 into 0
5.225 * [taylor]: Taking taylor expansion of 0 in z
5.225 * [backup-simplify]: Simplify 0 into 0
5.225 * [backup-simplify]: Simplify 1 into 1
5.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.227 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.227 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.227 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.227 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.228 * [backup-simplify]: Simplify (+ 0 0) into 0
5.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.238 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.238 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.238 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.239 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.239 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.239 * [backup-simplify]: Simplify (+ 0 0) into 0
5.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
5.241 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
5.241 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
5.241 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0
5.242 * [backup-simplify]: Simplify (+ 0 0) into 0
5.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
5.243 * [taylor]: Taking taylor expansion of 0 in y
5.243 * [backup-simplify]: Simplify 0 into 0
5.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.244 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
5.245 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
5.245 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
5.245 * [taylor]: Taking taylor expansion of 1/2 in z
5.245 * [backup-simplify]: Simplify 1/2 into 1/2
5.245 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.245 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.245 * [taylor]: Taking taylor expansion of z in z
5.245 * [backup-simplify]: Simplify 0 into 0
5.245 * [backup-simplify]: Simplify 1 into 1
5.246 * [backup-simplify]: Simplify (* 1 1) into 1
5.246 * [backup-simplify]: Simplify (/ 1 1) into 1
5.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [taylor]: Taking taylor expansion of 0 in z
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [taylor]: Taking taylor expansion of 0 in z
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.248 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.249 * [backup-simplify]: Simplify 0 into 0
5.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.252 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.252 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.252 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.253 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
5.253 * [backup-simplify]: Simplify (+ 0 0) into 0
5.255 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.257 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.258 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.258 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.258 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.259 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
5.260 * [backup-simplify]: Simplify (+ 0 0) into 0
5.261 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.262 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
5.263 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.263 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.264 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0
5.264 * [backup-simplify]: Simplify (+ 0 0) into 0
5.266 * [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))))))
5.266 * [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
5.266 * [taylor]: Taking taylor expansion of -1/2 in y
5.266 * [backup-simplify]: Simplify -1/2 into -1/2
5.266 * [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
5.266 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
5.266 * [taylor]: Taking taylor expansion of 1/4 in y
5.266 * [backup-simplify]: Simplify 1/4 into 1/4
5.266 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
5.266 * [taylor]: Taking taylor expansion of (pow z 4) in y
5.266 * [taylor]: Taking taylor expansion of z in y
5.266 * [backup-simplify]: Simplify z into z
5.266 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.266 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
5.267 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
5.267 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
5.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
5.267 * [taylor]: Taking taylor expansion of 1/2 in y
5.267 * [backup-simplify]: Simplify 1/2 into 1/2
5.267 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
5.267 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
5.267 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.267 * [taylor]: Taking taylor expansion of z in y
5.267 * [backup-simplify]: Simplify z into z
5.267 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.267 * [taylor]: Taking taylor expansion of y in y
5.267 * [backup-simplify]: Simplify 0 into 0
5.267 * [backup-simplify]: Simplify 1 into 1
5.267 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.267 * [backup-simplify]: Simplify (* 1 1) into 1
5.268 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
5.268 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.268 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
5.268 * [taylor]: Taking taylor expansion of 1/4 in y
5.268 * [backup-simplify]: Simplify 1/4 into 1/4
5.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
5.268 * [taylor]: Taking taylor expansion of (pow y 4) in y
5.268 * [taylor]: Taking taylor expansion of y in y
5.268 * [backup-simplify]: Simplify 0 into 0
5.268 * [backup-simplify]: Simplify 1 into 1
5.268 * [backup-simplify]: Simplify (* 1 1) into 1
5.269 * [backup-simplify]: Simplify (* 1 1) into 1
5.269 * [backup-simplify]: Simplify (/ 1 1) into 1
5.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.270 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.270 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
5.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.271 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
5.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.280 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.280 * [backup-simplify]: Simplify (+ 0 0) into 0
5.280 * [backup-simplify]: Simplify (+ 0 0) into 0
5.281 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
5.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.282 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
5.282 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
5.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.283 * [backup-simplify]: Simplify (+ 0 0) into 0
5.283 * [backup-simplify]: Simplify (+ 0 0) into 0
5.284 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.284 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.285 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.286 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.286 * [taylor]: Taking taylor expansion of 0 in z
5.286 * [backup-simplify]: Simplify 0 into 0
5.286 * [taylor]: Taking taylor expansion of 0 in z
5.286 * [backup-simplify]: Simplify 0 into 0
5.286 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.289 * [backup-simplify]: Simplify (+ 0 0) into 0
5.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
5.290 * [taylor]: Taking taylor expansion of 0 in z
5.290 * [backup-simplify]: Simplify 0 into 0
5.290 * [taylor]: Taking taylor expansion of 0 in z
5.290 * [backup-simplify]: Simplify 0 into 0
5.291 * [taylor]: Taking taylor expansion of 0 in z
5.291 * [backup-simplify]: Simplify 0 into 0
5.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.293 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.294 * [backup-simplify]: Simplify 0 into 0
5.294 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
5.294 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
5.294 * [backup-simplify]: Simplify (hypot (hypot x y) z) into (hypot (hypot x y) z)
5.294 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0
5.294 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z
5.294 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.294 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z
5.294 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
5.294 * [taylor]: Taking taylor expansion of (hypot x y) in z
5.295 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.295 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
5.295 * [taylor]: Taking taylor expansion of (* x x) in z
5.295 * [taylor]: Taking taylor expansion of x in z
5.295 * [backup-simplify]: Simplify x into x
5.295 * [taylor]: Taking taylor expansion of x in z
5.295 * [backup-simplify]: Simplify x into x
5.295 * [taylor]: Taking taylor expansion of (* y y) in z
5.295 * [taylor]: Taking taylor expansion of y in z
5.295 * [backup-simplify]: Simplify y into y
5.295 * [taylor]: Taking taylor expansion of y in z
5.295 * [backup-simplify]: Simplify y into y
5.295 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.295 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.295 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
5.296 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.296 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.296 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.296 * [backup-simplify]: Simplify (+ 0 0) into 0
5.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.297 * [taylor]: Taking taylor expansion of (hypot x y) in z
5.297 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.297 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
5.297 * [taylor]: Taking taylor expansion of (* x x) in z
5.297 * [taylor]: Taking taylor expansion of x in z
5.297 * [backup-simplify]: Simplify x into x
5.297 * [taylor]: Taking taylor expansion of x in z
5.297 * [backup-simplify]: Simplify x into x
5.297 * [taylor]: Taking taylor expansion of (* y y) in z
5.297 * [taylor]: Taking taylor expansion of y in z
5.297 * [backup-simplify]: Simplify y into y
5.297 * [taylor]: Taking taylor expansion of y in z
5.297 * [backup-simplify]: Simplify y into y
5.297 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.297 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.298 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
5.298 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.298 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.298 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.299 * [backup-simplify]: Simplify (+ 0 0) into 0
5.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.299 * [taylor]: Taking taylor expansion of (* z z) in z
5.299 * [taylor]: Taking taylor expansion of z in z
5.299 * [backup-simplify]: Simplify 0 into 0
5.299 * [backup-simplify]: Simplify 1 into 1
5.299 * [taylor]: Taking taylor expansion of z in z
5.299 * [backup-simplify]: Simplify 0 into 0
5.299 * [backup-simplify]: Simplify 1 into 1
5.300 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
5.300 * [backup-simplify]: Simplify (* 0 0) into 0
5.301 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
5.301 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.302 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.302 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.303 * [backup-simplify]: Simplify (+ 0 0) into 0
5.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.303 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y
5.303 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.303 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y
5.303 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
5.304 * [taylor]: Taking taylor expansion of (hypot x y) in y
5.304 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.304 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
5.304 * [taylor]: Taking taylor expansion of (* x x) in y
5.304 * [taylor]: Taking taylor expansion of x in y
5.304 * [backup-simplify]: Simplify x into x
5.304 * [taylor]: Taking taylor expansion of x in y
5.304 * [backup-simplify]: Simplify x into x
5.304 * [taylor]: Taking taylor expansion of (* y y) in y
5.304 * [taylor]: Taking taylor expansion of y in y
5.304 * [backup-simplify]: Simplify 0 into 0
5.304 * [backup-simplify]: Simplify 1 into 1
5.304 * [taylor]: Taking taylor expansion of y in y
5.304 * [backup-simplify]: Simplify 0 into 0
5.304 * [backup-simplify]: Simplify 1 into 1
5.304 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.305 * [backup-simplify]: Simplify (* 0 0) into 0
5.305 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.305 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.305 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.306 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.306 * [backup-simplify]: Simplify (+ 0 0) into 0
5.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.306 * [taylor]: Taking taylor expansion of (hypot x y) in y
5.306 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.306 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
5.306 * [taylor]: Taking taylor expansion of (* x x) in y
5.306 * [taylor]: Taking taylor expansion of x in y
5.306 * [backup-simplify]: Simplify x into x
5.306 * [taylor]: Taking taylor expansion of x in y
5.307 * [backup-simplify]: Simplify x into x
5.307 * [taylor]: Taking taylor expansion of (* y y) in y
5.307 * [taylor]: Taking taylor expansion of y in y
5.307 * [backup-simplify]: Simplify 0 into 0
5.307 * [backup-simplify]: Simplify 1 into 1
5.307 * [taylor]: Taking taylor expansion of y in y
5.307 * [backup-simplify]: Simplify 0 into 0
5.307 * [backup-simplify]: Simplify 1 into 1
5.307 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.307 * [backup-simplify]: Simplify (* 0 0) into 0
5.307 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.308 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.308 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.308 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.309 * [backup-simplify]: Simplify (+ 0 0) into 0
5.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.309 * [taylor]: Taking taylor expansion of (* z z) in y
5.309 * [taylor]: Taking taylor expansion of z in y
5.309 * [backup-simplify]: Simplify z into z
5.309 * [taylor]: Taking taylor expansion of z in y
5.309 * [backup-simplify]: Simplify z into z
5.309 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.309 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.310 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.310 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
5.310 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.310 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.311 * [backup-simplify]: Simplify (+ 0 0) into 0
5.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
5.311 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
5.311 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.311 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
5.311 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
5.311 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.311 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.311 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.311 * [taylor]: Taking taylor expansion of (* x x) in x
5.311 * [taylor]: Taking taylor expansion of x in x
5.312 * [backup-simplify]: Simplify 0 into 0
5.312 * [backup-simplify]: Simplify 1 into 1
5.312 * [taylor]: Taking taylor expansion of x in x
5.312 * [backup-simplify]: Simplify 0 into 0
5.312 * [backup-simplify]: Simplify 1 into 1
5.312 * [taylor]: Taking taylor expansion of (* y y) in x
5.312 * [taylor]: Taking taylor expansion of y in x
5.312 * [backup-simplify]: Simplify y into y
5.312 * [taylor]: Taking taylor expansion of y in x
5.312 * [backup-simplify]: Simplify y into y
5.312 * [backup-simplify]: Simplify (* 0 0) into 0
5.312 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.312 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.313 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.313 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.314 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.314 * [backup-simplify]: Simplify (+ 0 0) into 0
5.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.314 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.314 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.314 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.314 * [taylor]: Taking taylor expansion of (* x x) in x
5.314 * [taylor]: Taking taylor expansion of x in x
5.314 * [backup-simplify]: Simplify 0 into 0
5.314 * [backup-simplify]: Simplify 1 into 1
5.314 * [taylor]: Taking taylor expansion of x in x
5.314 * [backup-simplify]: Simplify 0 into 0
5.314 * [backup-simplify]: Simplify 1 into 1
5.315 * [taylor]: Taking taylor expansion of (* y y) in x
5.315 * [taylor]: Taking taylor expansion of y in x
5.315 * [backup-simplify]: Simplify y into y
5.315 * [taylor]: Taking taylor expansion of y in x
5.315 * [backup-simplify]: Simplify y into y
5.315 * [backup-simplify]: Simplify (* 0 0) into 0
5.315 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.316 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.316 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.316 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.316 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.317 * [backup-simplify]: Simplify (+ 0 0) into 0
5.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.317 * [taylor]: Taking taylor expansion of (* z z) in x
5.317 * [taylor]: Taking taylor expansion of z in x
5.317 * [backup-simplify]: Simplify z into z
5.317 * [taylor]: Taking taylor expansion of z in x
5.317 * [backup-simplify]: Simplify z into z
5.317 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.317 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.317 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.318 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.318 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.318 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.318 * [backup-simplify]: Simplify (+ 0 0) into 0
5.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.319 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
5.319 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.319 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
5.319 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
5.319 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.319 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.319 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.319 * [taylor]: Taking taylor expansion of (* x x) in x
5.319 * [taylor]: Taking taylor expansion of x in x
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify 1 into 1
5.319 * [taylor]: Taking taylor expansion of x in x
5.319 * [backup-simplify]: Simplify 0 into 0
5.319 * [backup-simplify]: Simplify 1 into 1
5.319 * [taylor]: Taking taylor expansion of (* y y) in x
5.319 * [taylor]: Taking taylor expansion of y in x
5.319 * [backup-simplify]: Simplify y into y
5.319 * [taylor]: Taking taylor expansion of y in x
5.319 * [backup-simplify]: Simplify y into y
5.320 * [backup-simplify]: Simplify (* 0 0) into 0
5.320 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.320 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.320 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.321 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.321 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.321 * [backup-simplify]: Simplify (+ 0 0) into 0
5.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.322 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.322 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.322 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.322 * [taylor]: Taking taylor expansion of (* x x) in x
5.322 * [taylor]: Taking taylor expansion of x in x
5.322 * [backup-simplify]: Simplify 0 into 0
5.322 * [backup-simplify]: Simplify 1 into 1
5.322 * [taylor]: Taking taylor expansion of x in x
5.322 * [backup-simplify]: Simplify 0 into 0
5.322 * [backup-simplify]: Simplify 1 into 1
5.322 * [taylor]: Taking taylor expansion of (* y y) in x
5.322 * [taylor]: Taking taylor expansion of y in x
5.322 * [backup-simplify]: Simplify y into y
5.322 * [taylor]: Taking taylor expansion of y in x
5.322 * [backup-simplify]: Simplify y into y
5.323 * [backup-simplify]: Simplify (* 0 0) into 0
5.323 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.323 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.323 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.324 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.324 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.324 * [backup-simplify]: Simplify (+ 0 0) into 0
5.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.325 * [taylor]: Taking taylor expansion of (* z z) in x
5.325 * [taylor]: Taking taylor expansion of z in x
5.325 * [backup-simplify]: Simplify z into z
5.325 * [taylor]: Taking taylor expansion of z in x
5.325 * [backup-simplify]: Simplify z into z
5.325 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.325 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.325 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.325 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.325 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.326 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.326 * [backup-simplify]: Simplify (+ 0 0) into 0
5.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.326 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
5.326 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
5.326 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.326 * [taylor]: Taking taylor expansion of y in y
5.326 * [backup-simplify]: Simplify 0 into 0
5.327 * [backup-simplify]: Simplify 1 into 1
5.327 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.327 * [taylor]: Taking taylor expansion of z in y
5.327 * [backup-simplify]: Simplify z into z
5.327 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.327 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.327 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
5.327 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.327 * [backup-simplify]: Simplify (+ 0 0) into 0
5.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
5.328 * [taylor]: Taking taylor expansion of z in z
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 1 into 1
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [taylor]: Taking taylor expansion of 0 in y
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [taylor]: Taking taylor expansion of 0 in z
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [taylor]: Taking taylor expansion of 0 in z
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 0 into 0
5.328 * [backup-simplify]: Simplify 1 into 1
5.329 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.329 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.330 * [backup-simplify]: Simplify (+ 1 0) into 1
5.330 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.331 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.331 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.332 * [backup-simplify]: Simplify (+ 1 0) into 1
5.333 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.333 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
5.333 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.334 * [backup-simplify]: Simplify (+ 1 0) into 1
5.335 * [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)))))
5.335 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
5.335 * [taylor]: Taking taylor expansion of 1/2 in y
5.335 * [backup-simplify]: Simplify 1/2 into 1/2
5.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
5.335 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
5.335 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
5.335 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.335 * [taylor]: Taking taylor expansion of y in y
5.335 * [backup-simplify]: Simplify 0 into 0
5.335 * [backup-simplify]: Simplify 1 into 1
5.335 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.335 * [taylor]: Taking taylor expansion of z in y
5.335 * [backup-simplify]: Simplify z into z
5.335 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.335 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.336 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.336 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
5.336 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.336 * [backup-simplify]: Simplify (+ 0 0) into 0
5.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
5.337 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
5.337 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
5.337 * [taylor]: Taking taylor expansion of 1/2 in z
5.337 * [backup-simplify]: Simplify 1/2 into 1/2
5.337 * [taylor]: Taking taylor expansion of z in z
5.337 * [backup-simplify]: Simplify 0 into 0
5.337 * [backup-simplify]: Simplify 1 into 1
5.338 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.338 * [backup-simplify]: Simplify 0 into 0
5.338 * [taylor]: Taking taylor expansion of 0 in z
5.338 * [backup-simplify]: Simplify 0 into 0
5.338 * [backup-simplify]: Simplify 0 into 0
5.339 * [backup-simplify]: Simplify (* 1 1) into 1
5.339 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.340 * [backup-simplify]: Simplify (+ 1 0) into 1
5.340 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
5.340 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
5.340 * [taylor]: Taking taylor expansion of 1/2 in z
5.340 * [backup-simplify]: Simplify 1/2 into 1/2
5.340 * [taylor]: Taking taylor expansion of z in z
5.340 * [backup-simplify]: Simplify 0 into 0
5.340 * [backup-simplify]: Simplify 1 into 1
5.341 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.342 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.342 * [backup-simplify]: Simplify 0 into 0
5.342 * [backup-simplify]: Simplify 0 into 0
5.342 * [backup-simplify]: Simplify 0 into 0
5.342 * [backup-simplify]: Simplify 0 into 0
5.342 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
5.342 * [backup-simplify]: Simplify (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))
5.342 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0
5.342 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z
5.343 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.343 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z
5.343 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
5.343 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
5.343 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.343 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
5.343 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
5.343 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.343 * [taylor]: Taking taylor expansion of x in z
5.343 * [backup-simplify]: Simplify x into x
5.343 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.343 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.343 * [taylor]: Taking taylor expansion of x in z
5.343 * [backup-simplify]: Simplify x into x
5.343 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.343 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
5.343 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.343 * [taylor]: Taking taylor expansion of y in z
5.343 * [backup-simplify]: Simplify y into y
5.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.343 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.343 * [taylor]: Taking taylor expansion of y in z
5.343 * [backup-simplify]: Simplify y into y
5.343 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.344 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
5.344 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.344 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.344 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.345 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
5.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.345 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.345 * [backup-simplify]: Simplify (+ 0 0) into 0
5.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.346 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
5.346 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.346 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
5.346 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
5.346 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.346 * [taylor]: Taking taylor expansion of x in z
5.346 * [backup-simplify]: Simplify x into x
5.346 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.346 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.346 * [taylor]: Taking taylor expansion of x in z
5.346 * [backup-simplify]: Simplify x into x
5.346 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.346 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
5.346 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.346 * [taylor]: Taking taylor expansion of y in z
5.346 * [backup-simplify]: Simplify y into y
5.346 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.347 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.347 * [taylor]: Taking taylor expansion of y in z
5.347 * [backup-simplify]: Simplify y into y
5.347 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.347 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
5.347 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.347 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.347 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.348 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
5.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.348 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.349 * [backup-simplify]: Simplify (+ 0 0) into 0
5.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.349 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
5.349 * [taylor]: Taking taylor expansion of (/ 1 z) in z
5.349 * [taylor]: Taking taylor expansion of z in z
5.349 * [backup-simplify]: Simplify 0 into 0
5.349 * [backup-simplify]: Simplify 1 into 1
5.349 * [backup-simplify]: Simplify (/ 1 1) into 1
5.349 * [taylor]: Taking taylor expansion of (/ 1 z) in z
5.350 * [taylor]: Taking taylor expansion of z in z
5.350 * [backup-simplify]: Simplify 0 into 0
5.350 * [backup-simplify]: Simplify 1 into 1
5.350 * [backup-simplify]: Simplify (/ 1 1) into 1
5.350 * [backup-simplify]: Simplify (* 1 1) into 1
5.351 * [backup-simplify]: Simplify (+ 0 1) into 1
5.351 * [backup-simplify]: Simplify (sqrt 1) into 1
5.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.353 * [backup-simplify]: Simplify (+ 0 0) into 0
5.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.354 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y
5.354 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.354 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y
5.354 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
5.354 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
5.354 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.354 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
5.354 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
5.354 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.354 * [taylor]: Taking taylor expansion of x in y
5.354 * [backup-simplify]: Simplify x into x
5.354 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.354 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.354 * [taylor]: Taking taylor expansion of x in y
5.354 * [backup-simplify]: Simplify x into x
5.354 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.354 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
5.354 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.354 * [taylor]: Taking taylor expansion of y in y
5.355 * [backup-simplify]: Simplify 0 into 0
5.355 * [backup-simplify]: Simplify 1 into 1
5.355 * [backup-simplify]: Simplify (/ 1 1) into 1
5.355 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.355 * [taylor]: Taking taylor expansion of y in y
5.355 * [backup-simplify]: Simplify 0 into 0
5.355 * [backup-simplify]: Simplify 1 into 1
5.355 * [backup-simplify]: Simplify (/ 1 1) into 1
5.356 * [backup-simplify]: Simplify (* 1 1) into 1
5.356 * [backup-simplify]: Simplify (+ 0 1) into 1
5.356 * [backup-simplify]: Simplify (sqrt 1) into 1
5.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.359 * [backup-simplify]: Simplify (+ 0 0) into 0
5.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.359 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
5.359 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.359 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
5.359 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
5.359 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.359 * [taylor]: Taking taylor expansion of x in y
5.359 * [backup-simplify]: Simplify x into x
5.360 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.360 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.360 * [taylor]: Taking taylor expansion of x in y
5.360 * [backup-simplify]: Simplify x into x
5.360 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.360 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
5.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.360 * [taylor]: Taking taylor expansion of y in y
5.360 * [backup-simplify]: Simplify 0 into 0
5.360 * [backup-simplify]: Simplify 1 into 1
5.360 * [backup-simplify]: Simplify (/ 1 1) into 1
5.360 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.360 * [taylor]: Taking taylor expansion of y in y
5.360 * [backup-simplify]: Simplify 0 into 0
5.360 * [backup-simplify]: Simplify 1 into 1
5.361 * [backup-simplify]: Simplify (/ 1 1) into 1
5.361 * [backup-simplify]: Simplify (* 1 1) into 1
5.361 * [backup-simplify]: Simplify (+ 0 1) into 1
5.362 * [backup-simplify]: Simplify (sqrt 1) into 1
5.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.364 * [backup-simplify]: Simplify (+ 0 0) into 0
5.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.365 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
5.365 * [taylor]: Taking taylor expansion of (/ 1 z) in y
5.365 * [taylor]: Taking taylor expansion of z in y
5.365 * [backup-simplify]: Simplify z into z
5.365 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.365 * [taylor]: Taking taylor expansion of (/ 1 z) in y
5.365 * [taylor]: Taking taylor expansion of z in y
5.365 * [backup-simplify]: Simplify z into z
5.365 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.366 * [backup-simplify]: Simplify (* 1 1) into 1
5.366 * [backup-simplify]: Simplify (+ 1 0) into 1
5.366 * [backup-simplify]: Simplify (sqrt 1) into 1
5.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.367 * [backup-simplify]: Simplify (+ 0 0) into 0
5.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.368 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
5.368 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.368 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
5.368 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
5.368 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.368 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.368 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.368 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.368 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.368 * [taylor]: Taking taylor expansion of x in x
5.368 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 1 into 1
5.369 * [backup-simplify]: Simplify (/ 1 1) into 1
5.369 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.369 * [taylor]: Taking taylor expansion of x in x
5.369 * [backup-simplify]: Simplify 0 into 0
5.369 * [backup-simplify]: Simplify 1 into 1
5.369 * [backup-simplify]: Simplify (/ 1 1) into 1
5.369 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.369 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.369 * [taylor]: Taking taylor expansion of y in x
5.369 * [backup-simplify]: Simplify y into y
5.370 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.370 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.370 * [taylor]: Taking taylor expansion of y in x
5.370 * [backup-simplify]: Simplify y into y
5.370 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.370 * [backup-simplify]: Simplify (* 1 1) into 1
5.370 * [backup-simplify]: Simplify (+ 1 0) into 1
5.371 * [backup-simplify]: Simplify (sqrt 1) into 1
5.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.373 * [backup-simplify]: Simplify (+ 0 0) into 0
5.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.374 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.374 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.374 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.374 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.374 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.374 * [taylor]: Taking taylor expansion of x in x
5.374 * [backup-simplify]: Simplify 0 into 0
5.374 * [backup-simplify]: Simplify 1 into 1
5.375 * [backup-simplify]: Simplify (/ 1 1) into 1
5.375 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.375 * [taylor]: Taking taylor expansion of x in x
5.375 * [backup-simplify]: Simplify 0 into 0
5.375 * [backup-simplify]: Simplify 1 into 1
5.375 * [backup-simplify]: Simplify (/ 1 1) into 1
5.375 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.375 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.375 * [taylor]: Taking taylor expansion of y in x
5.375 * [backup-simplify]: Simplify y into y
5.375 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.376 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.376 * [taylor]: Taking taylor expansion of y in x
5.376 * [backup-simplify]: Simplify y into y
5.376 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.376 * [backup-simplify]: Simplify (* 1 1) into 1
5.376 * [backup-simplify]: Simplify (+ 1 0) into 1
5.377 * [backup-simplify]: Simplify (sqrt 1) into 1
5.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.379 * [backup-simplify]: Simplify (+ 0 0) into 0
5.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.380 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
5.380 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.380 * [taylor]: Taking taylor expansion of z in x
5.380 * [backup-simplify]: Simplify z into z
5.380 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.380 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.380 * [taylor]: Taking taylor expansion of z in x
5.380 * [backup-simplify]: Simplify z into z
5.380 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.381 * [backup-simplify]: Simplify (* 1 1) into 1
5.381 * [backup-simplify]: Simplify (+ 1 0) into 1
5.382 * [backup-simplify]: Simplify (sqrt 1) into 1
5.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.383 * [backup-simplify]: Simplify (+ 0 0) into 0
5.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.383 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
5.384 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.384 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
5.384 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
5.384 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.384 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.384 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.384 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.384 * [taylor]: Taking taylor expansion of x in x
5.384 * [backup-simplify]: Simplify 0 into 0
5.384 * [backup-simplify]: Simplify 1 into 1
5.385 * [backup-simplify]: Simplify (/ 1 1) into 1
5.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.385 * [taylor]: Taking taylor expansion of x in x
5.385 * [backup-simplify]: Simplify 0 into 0
5.385 * [backup-simplify]: Simplify 1 into 1
5.385 * [backup-simplify]: Simplify (/ 1 1) into 1
5.386 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.386 * [taylor]: Taking taylor expansion of y in x
5.386 * [backup-simplify]: Simplify y into y
5.386 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.386 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.386 * [taylor]: Taking taylor expansion of y in x
5.386 * [backup-simplify]: Simplify y into y
5.386 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.386 * [backup-simplify]: Simplify (* 1 1) into 1
5.387 * [backup-simplify]: Simplify (+ 1 0) into 1
5.387 * [backup-simplify]: Simplify (sqrt 1) into 1
5.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.390 * [backup-simplify]: Simplify (+ 0 0) into 0
5.399 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.399 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.399 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.400 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.400 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.400 * [taylor]: Taking taylor expansion of x in x
5.400 * [backup-simplify]: Simplify 0 into 0
5.400 * [backup-simplify]: Simplify 1 into 1
5.401 * [backup-simplify]: Simplify (/ 1 1) into 1
5.401 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.401 * [taylor]: Taking taylor expansion of x in x
5.401 * [backup-simplify]: Simplify 0 into 0
5.401 * [backup-simplify]: Simplify 1 into 1
5.401 * [backup-simplify]: Simplify (/ 1 1) into 1
5.401 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.401 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.401 * [taylor]: Taking taylor expansion of y in x
5.401 * [backup-simplify]: Simplify y into y
5.402 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.402 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.402 * [taylor]: Taking taylor expansion of y in x
5.402 * [backup-simplify]: Simplify y into y
5.402 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.402 * [backup-simplify]: Simplify (* 1 1) into 1
5.403 * [backup-simplify]: Simplify (+ 1 0) into 1
5.403 * [backup-simplify]: Simplify (sqrt 1) into 1
5.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.406 * [backup-simplify]: Simplify (+ 0 0) into 0
5.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.406 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
5.406 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.406 * [taylor]: Taking taylor expansion of z in x
5.406 * [backup-simplify]: Simplify z into z
5.407 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.407 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.407 * [taylor]: Taking taylor expansion of z in x
5.407 * [backup-simplify]: Simplify z into z
5.407 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.407 * [backup-simplify]: Simplify (* 1 1) into 1
5.407 * [backup-simplify]: Simplify (+ 1 0) into 1
5.408 * [backup-simplify]: Simplify (sqrt 1) into 1
5.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.409 * [backup-simplify]: Simplify (+ 0 0) into 0
5.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.409 * [taylor]: Taking taylor expansion of 1 in y
5.409 * [backup-simplify]: Simplify 1 into 1
5.410 * [taylor]: Taking taylor expansion of 0 in y
5.410 * [backup-simplify]: Simplify 0 into 0
5.410 * [taylor]: Taking taylor expansion of 1 in z
5.410 * [backup-simplify]: Simplify 1 into 1
5.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.412 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.413 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.414 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.417 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.418 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.419 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.420 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
5.420 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2))
5.421 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
5.423 * [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))))
5.423 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
5.423 * [taylor]: Taking taylor expansion of 1/2 in y
5.423 * [backup-simplify]: Simplify 1/2 into 1/2
5.423 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
5.423 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.423 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.423 * [taylor]: Taking taylor expansion of z in y
5.423 * [backup-simplify]: Simplify z into z
5.423 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.423 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.423 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.423 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.423 * [taylor]: Taking taylor expansion of y in y
5.423 * [backup-simplify]: Simplify 0 into 0
5.423 * [backup-simplify]: Simplify 1 into 1
5.424 * [backup-simplify]: Simplify (* 1 1) into 1
5.424 * [backup-simplify]: Simplify (/ 1 1) into 1
5.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.426 * [backup-simplify]: Simplify (+ 0 0) into 0
5.427 * [backup-simplify]: Simplify (+ 0 1) into 1
5.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.428 * [taylor]: Taking taylor expansion of 0 in z
5.428 * [backup-simplify]: Simplify 0 into 0
5.428 * [taylor]: Taking taylor expansion of 0 in z
5.428 * [backup-simplify]: Simplify 0 into 0
5.428 * [taylor]: Taking taylor expansion of 0 in z
5.428 * [backup-simplify]: Simplify 0 into 0
5.428 * [backup-simplify]: Simplify 1 into 1
5.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.432 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.432 * [backup-simplify]: Simplify (+ 0 0) into 0
5.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.436 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.436 * [backup-simplify]: Simplify (+ 0 0) into 0
5.436 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
5.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
5.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
5.438 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0
5.438 * [backup-simplify]: Simplify (+ 0 0) into 0
5.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
5.439 * [taylor]: Taking taylor expansion of 0 in y
5.439 * [backup-simplify]: Simplify 0 into 0
5.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.441 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
5.442 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
5.442 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
5.442 * [taylor]: Taking taylor expansion of 1/2 in z
5.442 * [backup-simplify]: Simplify 1/2 into 1/2
5.442 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.442 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.442 * [taylor]: Taking taylor expansion of z in z
5.442 * [backup-simplify]: Simplify 0 into 0
5.442 * [backup-simplify]: Simplify 1 into 1
5.442 * [backup-simplify]: Simplify (* 1 1) into 1
5.443 * [backup-simplify]: Simplify (/ 1 1) into 1
5.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.445 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [taylor]: Taking taylor expansion of 0 in z
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [taylor]: Taking taylor expansion of 0 in z
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.445 * [backup-simplify]: Simplify 0 into 0
5.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.449 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.449 * [backup-simplify]: Simplify (+ 0 0) into 0
5.450 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.454 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.454 * [backup-simplify]: Simplify (+ 0 0) into 0
5.456 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.457 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
5.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.458 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0
5.459 * [backup-simplify]: Simplify (+ 0 0) into 0
5.460 * [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))))))
5.460 * [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
5.460 * [taylor]: Taking taylor expansion of -1/2 in y
5.460 * [backup-simplify]: Simplify -1/2 into -1/2
5.460 * [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
5.461 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
5.461 * [taylor]: Taking taylor expansion of 1/4 in y
5.461 * [backup-simplify]: Simplify 1/4 into 1/4
5.461 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
5.461 * [taylor]: Taking taylor expansion of (pow z 4) in y
5.461 * [taylor]: Taking taylor expansion of z in y
5.461 * [backup-simplify]: Simplify z into z
5.461 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.461 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
5.461 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
5.461 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
5.461 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
5.461 * [taylor]: Taking taylor expansion of 1/2 in y
5.461 * [backup-simplify]: Simplify 1/2 into 1/2
5.461 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
5.461 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
5.461 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.461 * [taylor]: Taking taylor expansion of z in y
5.461 * [backup-simplify]: Simplify z into z
5.461 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.461 * [taylor]: Taking taylor expansion of y in y
5.462 * [backup-simplify]: Simplify 0 into 0
5.462 * [backup-simplify]: Simplify 1 into 1
5.462 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.462 * [backup-simplify]: Simplify (* 1 1) into 1
5.462 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
5.462 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.462 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
5.462 * [taylor]: Taking taylor expansion of 1/4 in y
5.463 * [backup-simplify]: Simplify 1/4 into 1/4
5.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
5.463 * [taylor]: Taking taylor expansion of (pow y 4) in y
5.463 * [taylor]: Taking taylor expansion of y in y
5.463 * [backup-simplify]: Simplify 0 into 0
5.463 * [backup-simplify]: Simplify 1 into 1
5.463 * [backup-simplify]: Simplify (* 1 1) into 1
5.463 * [backup-simplify]: Simplify (* 1 1) into 1
5.464 * [backup-simplify]: Simplify (/ 1 1) into 1
5.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.465 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.465 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
5.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.466 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
5.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.477 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.478 * [backup-simplify]: Simplify (+ 0 0) into 0
5.478 * [backup-simplify]: Simplify (+ 0 0) into 0
5.479 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
5.480 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.480 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
5.481 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
5.482 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.483 * [backup-simplify]: Simplify (+ 0 0) into 0
5.484 * [backup-simplify]: Simplify (+ 0 0) into 0
5.484 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.485 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.485 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.486 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.487 * [taylor]: Taking taylor expansion of 0 in z
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [taylor]: Taking taylor expansion of 0 in z
5.487 * [backup-simplify]: Simplify 0 into 0
5.487 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.490 * [backup-simplify]: Simplify (+ 0 0) into 0
5.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
5.492 * [taylor]: Taking taylor expansion of 0 in z
5.492 * [backup-simplify]: Simplify 0 into 0
5.492 * [taylor]: Taking taylor expansion of 0 in z
5.492 * [backup-simplify]: Simplify 0 into 0
5.492 * [taylor]: Taking taylor expansion of 0 in z
5.492 * [backup-simplify]: Simplify 0 into 0
5.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.495 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.495 * [backup-simplify]: Simplify 0 into 0
5.495 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
5.495 * [backup-simplify]: Simplify (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))
5.495 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0
5.496 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z
5.496 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.496 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z
5.496 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
5.496 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
5.496 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.496 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
5.496 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
5.496 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.496 * [taylor]: Taking taylor expansion of -1 in z
5.496 * [backup-simplify]: Simplify -1 into -1
5.496 * [taylor]: Taking taylor expansion of x in z
5.496 * [backup-simplify]: Simplify x into x
5.496 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.496 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.496 * [taylor]: Taking taylor expansion of -1 in z
5.496 * [backup-simplify]: Simplify -1 into -1
5.496 * [taylor]: Taking taylor expansion of x in z
5.496 * [backup-simplify]: Simplify x into x
5.496 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.497 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
5.497 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.497 * [taylor]: Taking taylor expansion of -1 in z
5.497 * [backup-simplify]: Simplify -1 into -1
5.497 * [taylor]: Taking taylor expansion of y in z
5.497 * [backup-simplify]: Simplify y into y
5.497 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.497 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.497 * [taylor]: Taking taylor expansion of -1 in z
5.497 * [backup-simplify]: Simplify -1 into -1
5.497 * [taylor]: Taking taylor expansion of y in z
5.497 * [backup-simplify]: Simplify y into y
5.497 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.497 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
5.497 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.498 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.498 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.498 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.498 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.498 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
5.499 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.499 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.499 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.499 * [backup-simplify]: Simplify (+ 0 0) into 0
5.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.500 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
5.500 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.500 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
5.500 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
5.500 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.500 * [taylor]: Taking taylor expansion of -1 in z
5.500 * [backup-simplify]: Simplify -1 into -1
5.500 * [taylor]: Taking taylor expansion of x in z
5.500 * [backup-simplify]: Simplify x into x
5.500 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.500 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.500 * [taylor]: Taking taylor expansion of -1 in z
5.500 * [backup-simplify]: Simplify -1 into -1
5.500 * [taylor]: Taking taylor expansion of x in z
5.500 * [backup-simplify]: Simplify x into x
5.500 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.500 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
5.501 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.501 * [taylor]: Taking taylor expansion of -1 in z
5.501 * [backup-simplify]: Simplify -1 into -1
5.501 * [taylor]: Taking taylor expansion of y in z
5.501 * [backup-simplify]: Simplify y into y
5.501 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.501 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.501 * [taylor]: Taking taylor expansion of -1 in z
5.501 * [backup-simplify]: Simplify -1 into -1
5.501 * [taylor]: Taking taylor expansion of y in z
5.501 * [backup-simplify]: Simplify y into y
5.501 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.501 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
5.501 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.501 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.502 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.502 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.502 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.502 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
5.502 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.502 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.503 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.503 * [backup-simplify]: Simplify (+ 0 0) into 0
5.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.504 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
5.504 * [taylor]: Taking taylor expansion of (/ -1 z) in z
5.504 * [taylor]: Taking taylor expansion of -1 in z
5.504 * [backup-simplify]: Simplify -1 into -1
5.504 * [taylor]: Taking taylor expansion of z in z
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 1 into 1
5.504 * [backup-simplify]: Simplify (/ -1 1) into -1
5.504 * [taylor]: Taking taylor expansion of (/ -1 z) in z
5.504 * [taylor]: Taking taylor expansion of -1 in z
5.504 * [backup-simplify]: Simplify -1 into -1
5.504 * [taylor]: Taking taylor expansion of z in z
5.504 * [backup-simplify]: Simplify 0 into 0
5.504 * [backup-simplify]: Simplify 1 into 1
5.505 * [backup-simplify]: Simplify (/ -1 1) into -1
5.505 * [backup-simplify]: Simplify (* -1 -1) into 1
5.506 * [backup-simplify]: Simplify (+ 0 1) into 1
5.506 * [backup-simplify]: Simplify (sqrt 1) into 1
5.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.508 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.508 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.509 * [backup-simplify]: Simplify (+ 0 0) into 0
5.509 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.509 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y
5.510 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.510 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y
5.510 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
5.510 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
5.510 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.510 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
5.510 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
5.510 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.510 * [taylor]: Taking taylor expansion of -1 in y
5.510 * [backup-simplify]: Simplify -1 into -1
5.510 * [taylor]: Taking taylor expansion of x in y
5.510 * [backup-simplify]: Simplify x into x
5.510 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.510 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.510 * [taylor]: Taking taylor expansion of -1 in y
5.510 * [backup-simplify]: Simplify -1 into -1
5.510 * [taylor]: Taking taylor expansion of x in y
5.510 * [backup-simplify]: Simplify x into x
5.510 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.510 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
5.510 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.510 * [taylor]: Taking taylor expansion of -1 in y
5.510 * [backup-simplify]: Simplify -1 into -1
5.510 * [taylor]: Taking taylor expansion of y in y
5.510 * [backup-simplify]: Simplify 0 into 0
5.510 * [backup-simplify]: Simplify 1 into 1
5.511 * [backup-simplify]: Simplify (/ -1 1) into -1
5.511 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.511 * [taylor]: Taking taylor expansion of -1 in y
5.511 * [backup-simplify]: Simplify -1 into -1
5.511 * [taylor]: Taking taylor expansion of y in y
5.511 * [backup-simplify]: Simplify 0 into 0
5.511 * [backup-simplify]: Simplify 1 into 1
5.511 * [backup-simplify]: Simplify (/ -1 1) into -1
5.512 * [backup-simplify]: Simplify (* -1 -1) into 1
5.512 * [backup-simplify]: Simplify (+ 0 1) into 1
5.513 * [backup-simplify]: Simplify (sqrt 1) into 1
5.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.515 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.515 * [backup-simplify]: Simplify (+ 0 0) into 0
5.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.516 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
5.516 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.516 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
5.516 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
5.516 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.516 * [taylor]: Taking taylor expansion of -1 in y
5.516 * [backup-simplify]: Simplify -1 into -1
5.516 * [taylor]: Taking taylor expansion of x in y
5.516 * [backup-simplify]: Simplify x into x
5.516 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.516 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.516 * [taylor]: Taking taylor expansion of -1 in y
5.516 * [backup-simplify]: Simplify -1 into -1
5.516 * [taylor]: Taking taylor expansion of x in y
5.517 * [backup-simplify]: Simplify x into x
5.517 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.517 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
5.517 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.517 * [taylor]: Taking taylor expansion of -1 in y
5.517 * [backup-simplify]: Simplify -1 into -1
5.517 * [taylor]: Taking taylor expansion of y in y
5.517 * [backup-simplify]: Simplify 0 into 0
5.517 * [backup-simplify]: Simplify 1 into 1
5.517 * [backup-simplify]: Simplify (/ -1 1) into -1
5.517 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.517 * [taylor]: Taking taylor expansion of -1 in y
5.517 * [backup-simplify]: Simplify -1 into -1
5.517 * [taylor]: Taking taylor expansion of y in y
5.517 * [backup-simplify]: Simplify 0 into 0
5.517 * [backup-simplify]: Simplify 1 into 1
5.518 * [backup-simplify]: Simplify (/ -1 1) into -1
5.518 * [backup-simplify]: Simplify (* -1 -1) into 1
5.519 * [backup-simplify]: Simplify (+ 0 1) into 1
5.519 * [backup-simplify]: Simplify (sqrt 1) into 1
5.520 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.521 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.521 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.522 * [backup-simplify]: Simplify (+ 0 0) into 0
5.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.522 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
5.522 * [taylor]: Taking taylor expansion of (/ -1 z) in y
5.522 * [taylor]: Taking taylor expansion of -1 in y
5.522 * [backup-simplify]: Simplify -1 into -1
5.522 * [taylor]: Taking taylor expansion of z in y
5.523 * [backup-simplify]: Simplify z into z
5.523 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.523 * [taylor]: Taking taylor expansion of (/ -1 z) in y
5.523 * [taylor]: Taking taylor expansion of -1 in y
5.523 * [backup-simplify]: Simplify -1 into -1
5.523 * [taylor]: Taking taylor expansion of z in y
5.523 * [backup-simplify]: Simplify z into z
5.523 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.523 * [backup-simplify]: Simplify (* 1 1) into 1
5.524 * [backup-simplify]: Simplify (+ 1 0) into 1
5.524 * [backup-simplify]: Simplify (sqrt 1) into 1
5.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.525 * [backup-simplify]: Simplify (+ 0 0) into 0
5.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.526 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
5.526 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.526 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
5.526 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
5.526 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.526 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.526 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.526 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.526 * [taylor]: Taking taylor expansion of -1 in x
5.526 * [backup-simplify]: Simplify -1 into -1
5.526 * [taylor]: Taking taylor expansion of x in x
5.526 * [backup-simplify]: Simplify 0 into 0
5.526 * [backup-simplify]: Simplify 1 into 1
5.527 * [backup-simplify]: Simplify (/ -1 1) into -1
5.527 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.527 * [taylor]: Taking taylor expansion of -1 in x
5.527 * [backup-simplify]: Simplify -1 into -1
5.527 * [taylor]: Taking taylor expansion of x in x
5.527 * [backup-simplify]: Simplify 0 into 0
5.527 * [backup-simplify]: Simplify 1 into 1
5.527 * [backup-simplify]: Simplify (/ -1 1) into -1
5.527 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.527 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.527 * [taylor]: Taking taylor expansion of -1 in x
5.528 * [backup-simplify]: Simplify -1 into -1
5.528 * [taylor]: Taking taylor expansion of y in x
5.528 * [backup-simplify]: Simplify y into y
5.528 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.528 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.528 * [taylor]: Taking taylor expansion of -1 in x
5.528 * [backup-simplify]: Simplify -1 into -1
5.528 * [taylor]: Taking taylor expansion of y in x
5.528 * [backup-simplify]: Simplify y into y
5.528 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.528 * [backup-simplify]: Simplify (* -1 -1) into 1
5.529 * [backup-simplify]: Simplify (+ 1 0) into 1
5.529 * [backup-simplify]: Simplify (sqrt 1) into 1
5.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.531 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.532 * [backup-simplify]: Simplify (+ 0 0) into 0
5.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.532 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.533 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.533 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.533 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.533 * [taylor]: Taking taylor expansion of -1 in x
5.533 * [backup-simplify]: Simplify -1 into -1
5.533 * [taylor]: Taking taylor expansion of x in x
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 1 into 1
5.533 * [backup-simplify]: Simplify (/ -1 1) into -1
5.533 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.533 * [taylor]: Taking taylor expansion of -1 in x
5.533 * [backup-simplify]: Simplify -1 into -1
5.533 * [taylor]: Taking taylor expansion of x in x
5.533 * [backup-simplify]: Simplify 0 into 0
5.533 * [backup-simplify]: Simplify 1 into 1
5.534 * [backup-simplify]: Simplify (/ -1 1) into -1
5.534 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.534 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.534 * [taylor]: Taking taylor expansion of -1 in x
5.534 * [backup-simplify]: Simplify -1 into -1
5.534 * [taylor]: Taking taylor expansion of y in x
5.534 * [backup-simplify]: Simplify y into y
5.534 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.534 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.534 * [taylor]: Taking taylor expansion of -1 in x
5.534 * [backup-simplify]: Simplify -1 into -1
5.534 * [taylor]: Taking taylor expansion of y in x
5.534 * [backup-simplify]: Simplify y into y
5.534 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.535 * [backup-simplify]: Simplify (* -1 -1) into 1
5.535 * [backup-simplify]: Simplify (+ 1 0) into 1
5.535 * [backup-simplify]: Simplify (sqrt 1) into 1
5.536 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.538 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.538 * [backup-simplify]: Simplify (+ 0 0) into 0
5.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.539 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
5.539 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.539 * [taylor]: Taking taylor expansion of -1 in x
5.539 * [backup-simplify]: Simplify -1 into -1
5.539 * [taylor]: Taking taylor expansion of z in x
5.539 * [backup-simplify]: Simplify z into z
5.539 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.539 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.539 * [taylor]: Taking taylor expansion of -1 in x
5.539 * [backup-simplify]: Simplify -1 into -1
5.539 * [taylor]: Taking taylor expansion of z in x
5.539 * [backup-simplify]: Simplify z into z
5.539 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.540 * [backup-simplify]: Simplify (* 1 1) into 1
5.540 * [backup-simplify]: Simplify (+ 1 0) into 1
5.540 * [backup-simplify]: Simplify (sqrt 1) into 1
5.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.541 * [backup-simplify]: Simplify (+ 0 0) into 0
5.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.542 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
5.542 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.542 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
5.542 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
5.542 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.543 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.543 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.543 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.543 * [taylor]: Taking taylor expansion of -1 in x
5.543 * [backup-simplify]: Simplify -1 into -1
5.543 * [taylor]: Taking taylor expansion of x in x
5.543 * [backup-simplify]: Simplify 0 into 0
5.543 * [backup-simplify]: Simplify 1 into 1
5.543 * [backup-simplify]: Simplify (/ -1 1) into -1
5.543 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.543 * [taylor]: Taking taylor expansion of -1 in x
5.543 * [backup-simplify]: Simplify -1 into -1
5.543 * [taylor]: Taking taylor expansion of x in x
5.543 * [backup-simplify]: Simplify 0 into 0
5.543 * [backup-simplify]: Simplify 1 into 1
5.544 * [backup-simplify]: Simplify (/ -1 1) into -1
5.544 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.544 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.544 * [taylor]: Taking taylor expansion of -1 in x
5.544 * [backup-simplify]: Simplify -1 into -1
5.544 * [taylor]: Taking taylor expansion of y in x
5.544 * [backup-simplify]: Simplify y into y
5.544 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.544 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.544 * [taylor]: Taking taylor expansion of -1 in x
5.544 * [backup-simplify]: Simplify -1 into -1
5.544 * [taylor]: Taking taylor expansion of y in x
5.544 * [backup-simplify]: Simplify y into y
5.544 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.545 * [backup-simplify]: Simplify (* -1 -1) into 1
5.545 * [backup-simplify]: Simplify (+ 1 0) into 1
5.545 * [backup-simplify]: Simplify (sqrt 1) into 1
5.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.547 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.548 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.548 * [backup-simplify]: Simplify (+ 0 0) into 0
5.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.549 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.549 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.549 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.549 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.549 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.549 * [taylor]: Taking taylor expansion of -1 in x
5.549 * [backup-simplify]: Simplify -1 into -1
5.549 * [taylor]: Taking taylor expansion of x in x
5.549 * [backup-simplify]: Simplify 0 into 0
5.549 * [backup-simplify]: Simplify 1 into 1
5.550 * [backup-simplify]: Simplify (/ -1 1) into -1
5.550 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.550 * [taylor]: Taking taylor expansion of -1 in x
5.550 * [backup-simplify]: Simplify -1 into -1
5.550 * [taylor]: Taking taylor expansion of x in x
5.550 * [backup-simplify]: Simplify 0 into 0
5.550 * [backup-simplify]: Simplify 1 into 1
5.550 * [backup-simplify]: Simplify (/ -1 1) into -1
5.550 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.550 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.550 * [taylor]: Taking taylor expansion of -1 in x
5.550 * [backup-simplify]: Simplify -1 into -1
5.550 * [taylor]: Taking taylor expansion of y in x
5.550 * [backup-simplify]: Simplify y into y
5.550 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.550 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.551 * [taylor]: Taking taylor expansion of -1 in x
5.551 * [backup-simplify]: Simplify -1 into -1
5.551 * [taylor]: Taking taylor expansion of y in x
5.551 * [backup-simplify]: Simplify y into y
5.551 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.551 * [backup-simplify]: Simplify (* -1 -1) into 1
5.551 * [backup-simplify]: Simplify (+ 1 0) into 1
5.552 * [backup-simplify]: Simplify (sqrt 1) into 1
5.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.553 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.554 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.554 * [backup-simplify]: Simplify (+ 0 0) into 0
5.555 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.555 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
5.555 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.555 * [taylor]: Taking taylor expansion of -1 in x
5.555 * [backup-simplify]: Simplify -1 into -1
5.555 * [taylor]: Taking taylor expansion of z in x
5.555 * [backup-simplify]: Simplify z into z
5.555 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.555 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.555 * [taylor]: Taking taylor expansion of -1 in x
5.555 * [backup-simplify]: Simplify -1 into -1
5.556 * [taylor]: Taking taylor expansion of z in x
5.556 * [backup-simplify]: Simplify z into z
5.556 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.556 * [backup-simplify]: Simplify (* 1 1) into 1
5.562 * [backup-simplify]: Simplify (+ 1 0) into 1
5.563 * [backup-simplify]: Simplify (sqrt 1) into 1
5.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.564 * [backup-simplify]: Simplify (+ 0 0) into 0
5.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.565 * [taylor]: Taking taylor expansion of 1 in y
5.565 * [backup-simplify]: Simplify 1 into 1
5.565 * [taylor]: Taking taylor expansion of 0 in y
5.565 * [backup-simplify]: Simplify 0 into 0
5.565 * [taylor]: Taking taylor expansion of 1 in z
5.565 * [backup-simplify]: Simplify 1 into 1
5.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.567 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.568 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.568 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.569 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.570 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.571 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.573 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.573 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.573 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.574 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.575 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
5.575 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2))
5.576 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
5.577 * [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))))
5.577 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
5.577 * [taylor]: Taking taylor expansion of 1/2 in y
5.577 * [backup-simplify]: Simplify 1/2 into 1/2
5.577 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
5.577 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.577 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.577 * [taylor]: Taking taylor expansion of z in y
5.577 * [backup-simplify]: Simplify z into z
5.577 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.577 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.577 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.578 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.578 * [taylor]: Taking taylor expansion of y in y
5.578 * [backup-simplify]: Simplify 0 into 0
5.578 * [backup-simplify]: Simplify 1 into 1
5.578 * [backup-simplify]: Simplify (* 1 1) into 1
5.578 * [backup-simplify]: Simplify (/ 1 1) into 1
5.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.580 * [backup-simplify]: Simplify (+ 0 0) into 0
5.580 * [backup-simplify]: Simplify (+ 0 1) into 1
5.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.581 * [taylor]: Taking taylor expansion of 0 in z
5.581 * [backup-simplify]: Simplify 0 into 0
5.581 * [taylor]: Taking taylor expansion of 0 in z
5.581 * [backup-simplify]: Simplify 0 into 0
5.581 * [taylor]: Taking taylor expansion of 0 in z
5.581 * [backup-simplify]: Simplify 0 into 0
5.581 * [backup-simplify]: Simplify 1 into 1
5.582 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.584 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.585 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.585 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.585 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.585 * [backup-simplify]: Simplify (+ 0 0) into 0
5.586 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.587 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.588 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.590 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.590 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.590 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.590 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.590 * [backup-simplify]: Simplify (+ 0 0) into 0
5.591 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
5.592 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
5.593 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
5.593 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0
5.593 * [backup-simplify]: Simplify (+ 0 0) into 0
5.594 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
5.594 * [taylor]: Taking taylor expansion of 0 in y
5.594 * [backup-simplify]: Simplify 0 into 0
5.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.596 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
5.597 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
5.597 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
5.597 * [taylor]: Taking taylor expansion of 1/2 in z
5.597 * [backup-simplify]: Simplify 1/2 into 1/2
5.597 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.597 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.597 * [taylor]: Taking taylor expansion of z in z
5.597 * [backup-simplify]: Simplify 0 into 0
5.597 * [backup-simplify]: Simplify 1 into 1
5.598 * [backup-simplify]: Simplify (* 1 1) into 1
5.598 * [backup-simplify]: Simplify (/ 1 1) into 1
5.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.600 * [backup-simplify]: Simplify 0 into 0
5.600 * [taylor]: Taking taylor expansion of 0 in z
5.600 * [backup-simplify]: Simplify 0 into 0
5.600 * [taylor]: Taking taylor expansion of 0 in z
5.600 * [backup-simplify]: Simplify 0 into 0
5.600 * [backup-simplify]: Simplify 0 into 0
5.600 * [backup-simplify]: Simplify 0 into 0
5.600 * [backup-simplify]: Simplify 0 into 0
5.600 * [backup-simplify]: Simplify 0 into 0
5.601 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.604 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.604 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.604 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
5.605 * [backup-simplify]: Simplify (+ 0 0) into 0
5.606 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.609 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.610 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.610 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.610 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
5.611 * [backup-simplify]: Simplify (+ 0 0) into 0
5.612 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.614 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
5.614 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.614 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.615 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0
5.615 * [backup-simplify]: Simplify (+ 0 0) into 0
5.617 * [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))))))
5.617 * [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
5.617 * [taylor]: Taking taylor expansion of -1/2 in y
5.617 * [backup-simplify]: Simplify -1/2 into -1/2
5.617 * [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
5.617 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
5.617 * [taylor]: Taking taylor expansion of 1/4 in y
5.617 * [backup-simplify]: Simplify 1/4 into 1/4
5.617 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
5.617 * [taylor]: Taking taylor expansion of (pow z 4) in y
5.617 * [taylor]: Taking taylor expansion of z in y
5.617 * [backup-simplify]: Simplify z into z
5.617 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.617 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
5.618 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
5.618 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
5.618 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
5.618 * [taylor]: Taking taylor expansion of 1/2 in y
5.618 * [backup-simplify]: Simplify 1/2 into 1/2
5.618 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
5.618 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
5.618 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.618 * [taylor]: Taking taylor expansion of z in y
5.618 * [backup-simplify]: Simplify z into z
5.618 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.618 * [taylor]: Taking taylor expansion of y in y
5.618 * [backup-simplify]: Simplify 0 into 0
5.618 * [backup-simplify]: Simplify 1 into 1
5.618 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.618 * [backup-simplify]: Simplify (* 1 1) into 1
5.619 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
5.619 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.619 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
5.619 * [taylor]: Taking taylor expansion of 1/4 in y
5.619 * [backup-simplify]: Simplify 1/4 into 1/4
5.619 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
5.619 * [taylor]: Taking taylor expansion of (pow y 4) in y
5.619 * [taylor]: Taking taylor expansion of y in y
5.619 * [backup-simplify]: Simplify 0 into 0
5.619 * [backup-simplify]: Simplify 1 into 1
5.619 * [backup-simplify]: Simplify (* 1 1) into 1
5.620 * [backup-simplify]: Simplify (* 1 1) into 1
5.620 * [backup-simplify]: Simplify (/ 1 1) into 1
5.621 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.621 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.621 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
5.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.622 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
5.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.631 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.632 * [backup-simplify]: Simplify (+ 0 0) into 0
5.632 * [backup-simplify]: Simplify (+ 0 0) into 0
5.632 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
5.633 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.633 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
5.634 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
5.634 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.635 * [backup-simplify]: Simplify (+ 0 0) into 0
5.635 * [backup-simplify]: Simplify (+ 0 0) into 0
5.636 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.636 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.636 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.638 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.638 * [taylor]: Taking taylor expansion of 0 in z
5.638 * [backup-simplify]: Simplify 0 into 0
5.638 * [taylor]: Taking taylor expansion of 0 in z
5.638 * [backup-simplify]: Simplify 0 into 0
5.638 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.641 * [backup-simplify]: Simplify (+ 0 0) into 0
5.642 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
5.642 * [taylor]: Taking taylor expansion of 0 in z
5.642 * [backup-simplify]: Simplify 0 into 0
5.642 * [taylor]: Taking taylor expansion of 0 in z
5.642 * [backup-simplify]: Simplify 0 into 0
5.642 * [taylor]: Taking taylor expansion of 0 in z
5.642 * [backup-simplify]: Simplify 0 into 0
5.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.645 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.645 * [backup-simplify]: Simplify 0 into 0
5.645 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
5.646 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1)
5.646 * [backup-simplify]: Simplify (hypot (hypot x y) z) into (hypot (hypot x y) z)
5.646 * [approximate]: Taking taylor expansion of (hypot (hypot x y) z) in (x y z) around 0
5.646 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z
5.646 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.646 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z
5.646 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
5.646 * [taylor]: Taking taylor expansion of (hypot x y) in z
5.646 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.646 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
5.646 * [taylor]: Taking taylor expansion of (* x x) in z
5.646 * [taylor]: Taking taylor expansion of x in z
5.646 * [backup-simplify]: Simplify x into x
5.646 * [taylor]: Taking taylor expansion of x in z
5.646 * [backup-simplify]: Simplify x into x
5.646 * [taylor]: Taking taylor expansion of (* y y) in z
5.646 * [taylor]: Taking taylor expansion of y in z
5.646 * [backup-simplify]: Simplify y into y
5.646 * [taylor]: Taking taylor expansion of y in z
5.646 * [backup-simplify]: Simplify y into y
5.647 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.647 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.647 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
5.647 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.647 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.647 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.648 * [backup-simplify]: Simplify (+ 0 0) into 0
5.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.648 * [taylor]: Taking taylor expansion of (hypot x y) in z
5.648 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.648 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
5.648 * [taylor]: Taking taylor expansion of (* x x) in z
5.648 * [taylor]: Taking taylor expansion of x in z
5.648 * [backup-simplify]: Simplify x into x
5.648 * [taylor]: Taking taylor expansion of x in z
5.649 * [backup-simplify]: Simplify x into x
5.649 * [taylor]: Taking taylor expansion of (* y y) in z
5.649 * [taylor]: Taking taylor expansion of y in z
5.649 * [backup-simplify]: Simplify y into y
5.649 * [taylor]: Taking taylor expansion of y in z
5.649 * [backup-simplify]: Simplify y into y
5.649 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.649 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.649 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
5.649 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.649 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.649 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.650 * [backup-simplify]: Simplify (+ 0 0) into 0
5.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.650 * [taylor]: Taking taylor expansion of (* z z) in z
5.650 * [taylor]: Taking taylor expansion of z in z
5.650 * [backup-simplify]: Simplify 0 into 0
5.650 * [backup-simplify]: Simplify 1 into 1
5.650 * [taylor]: Taking taylor expansion of z in z
5.650 * [backup-simplify]: Simplify 0 into 0
5.650 * [backup-simplify]: Simplify 1 into 1
5.651 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
5.651 * [backup-simplify]: Simplify (* 0 0) into 0
5.652 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
5.652 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.653 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.653 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.654 * [backup-simplify]: Simplify (+ 0 0) into 0
5.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.654 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y
5.654 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.654 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y
5.654 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
5.654 * [taylor]: Taking taylor expansion of (hypot x y) in y
5.654 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.654 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
5.654 * [taylor]: Taking taylor expansion of (* x x) in y
5.654 * [taylor]: Taking taylor expansion of x in y
5.654 * [backup-simplify]: Simplify x into x
5.654 * [taylor]: Taking taylor expansion of x in y
5.654 * [backup-simplify]: Simplify x into x
5.655 * [taylor]: Taking taylor expansion of (* y y) in y
5.655 * [taylor]: Taking taylor expansion of y in y
5.655 * [backup-simplify]: Simplify 0 into 0
5.655 * [backup-simplify]: Simplify 1 into 1
5.655 * [taylor]: Taking taylor expansion of y in y
5.655 * [backup-simplify]: Simplify 0 into 0
5.655 * [backup-simplify]: Simplify 1 into 1
5.655 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.655 * [backup-simplify]: Simplify (* 0 0) into 0
5.655 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.656 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.656 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.656 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.657 * [backup-simplify]: Simplify (+ 0 0) into 0
5.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.657 * [taylor]: Taking taylor expansion of (hypot x y) in y
5.657 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.657 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
5.657 * [taylor]: Taking taylor expansion of (* x x) in y
5.657 * [taylor]: Taking taylor expansion of x in y
5.657 * [backup-simplify]: Simplify x into x
5.657 * [taylor]: Taking taylor expansion of x in y
5.657 * [backup-simplify]: Simplify x into x
5.657 * [taylor]: Taking taylor expansion of (* y y) in y
5.657 * [taylor]: Taking taylor expansion of y in y
5.657 * [backup-simplify]: Simplify 0 into 0
5.657 * [backup-simplify]: Simplify 1 into 1
5.657 * [taylor]: Taking taylor expansion of y in y
5.657 * [backup-simplify]: Simplify 0 into 0
5.657 * [backup-simplify]: Simplify 1 into 1
5.657 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.658 * [backup-simplify]: Simplify (* 0 0) into 0
5.658 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.658 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.658 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.659 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.660 * [backup-simplify]: Simplify (+ 0 0) into 0
5.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.660 * [taylor]: Taking taylor expansion of (* z z) in y
5.660 * [taylor]: Taking taylor expansion of z in y
5.660 * [backup-simplify]: Simplify z into z
5.660 * [taylor]: Taking taylor expansion of z in y
5.660 * [backup-simplify]: Simplify z into z
5.660 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.660 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.661 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.661 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
5.661 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.661 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.662 * [backup-simplify]: Simplify (+ 0 0) into 0
5.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
5.662 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
5.662 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.662 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
5.662 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
5.662 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.662 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.662 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.662 * [taylor]: Taking taylor expansion of (* x x) in x
5.662 * [taylor]: Taking taylor expansion of x in x
5.662 * [backup-simplify]: Simplify 0 into 0
5.663 * [backup-simplify]: Simplify 1 into 1
5.663 * [taylor]: Taking taylor expansion of x in x
5.663 * [backup-simplify]: Simplify 0 into 0
5.663 * [backup-simplify]: Simplify 1 into 1
5.663 * [taylor]: Taking taylor expansion of (* y y) in x
5.663 * [taylor]: Taking taylor expansion of y in x
5.663 * [backup-simplify]: Simplify y into y
5.663 * [taylor]: Taking taylor expansion of y in x
5.663 * [backup-simplify]: Simplify y into y
5.663 * [backup-simplify]: Simplify (* 0 0) into 0
5.663 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.663 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.664 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.664 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.664 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.665 * [backup-simplify]: Simplify (+ 0 0) into 0
5.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.665 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.665 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.665 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.665 * [taylor]: Taking taylor expansion of (* x x) in x
5.665 * [taylor]: Taking taylor expansion of x in x
5.665 * [backup-simplify]: Simplify 0 into 0
5.665 * [backup-simplify]: Simplify 1 into 1
5.665 * [taylor]: Taking taylor expansion of x in x
5.665 * [backup-simplify]: Simplify 0 into 0
5.665 * [backup-simplify]: Simplify 1 into 1
5.665 * [taylor]: Taking taylor expansion of (* y y) in x
5.665 * [taylor]: Taking taylor expansion of y in x
5.665 * [backup-simplify]: Simplify y into y
5.665 * [taylor]: Taking taylor expansion of y in x
5.665 * [backup-simplify]: Simplify y into y
5.666 * [backup-simplify]: Simplify (* 0 0) into 0
5.666 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.666 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.666 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.667 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.667 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.667 * [backup-simplify]: Simplify (+ 0 0) into 0
5.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.668 * [taylor]: Taking taylor expansion of (* z z) in x
5.668 * [taylor]: Taking taylor expansion of z in x
5.668 * [backup-simplify]: Simplify z into z
5.668 * [taylor]: Taking taylor expansion of z in x
5.668 * [backup-simplify]: Simplify z into z
5.668 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.668 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.668 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.668 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.668 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.668 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.669 * [backup-simplify]: Simplify (+ 0 0) into 0
5.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.669 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
5.669 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.669 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
5.669 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
5.669 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.670 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.670 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.670 * [taylor]: Taking taylor expansion of (* x x) in x
5.670 * [taylor]: Taking taylor expansion of x in x
5.670 * [backup-simplify]: Simplify 0 into 0
5.670 * [backup-simplify]: Simplify 1 into 1
5.670 * [taylor]: Taking taylor expansion of x in x
5.670 * [backup-simplify]: Simplify 0 into 0
5.670 * [backup-simplify]: Simplify 1 into 1
5.670 * [taylor]: Taking taylor expansion of (* y y) in x
5.670 * [taylor]: Taking taylor expansion of y in x
5.670 * [backup-simplify]: Simplify y into y
5.670 * [taylor]: Taking taylor expansion of y in x
5.670 * [backup-simplify]: Simplify y into y
5.670 * [backup-simplify]: Simplify (* 0 0) into 0
5.671 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.671 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.671 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.671 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.672 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.672 * [backup-simplify]: Simplify (+ 0 0) into 0
5.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.672 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.672 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.672 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.672 * [taylor]: Taking taylor expansion of (* x x) in x
5.672 * [taylor]: Taking taylor expansion of x in x
5.672 * [backup-simplify]: Simplify 0 into 0
5.672 * [backup-simplify]: Simplify 1 into 1
5.672 * [taylor]: Taking taylor expansion of x in x
5.672 * [backup-simplify]: Simplify 0 into 0
5.673 * [backup-simplify]: Simplify 1 into 1
5.673 * [taylor]: Taking taylor expansion of (* y y) in x
5.673 * [taylor]: Taking taylor expansion of y in x
5.673 * [backup-simplify]: Simplify y into y
5.673 * [taylor]: Taking taylor expansion of y in x
5.673 * [backup-simplify]: Simplify y into y
5.673 * [backup-simplify]: Simplify (* 0 0) into 0
5.673 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.673 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.673 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.674 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.674 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.674 * [backup-simplify]: Simplify (+ 0 0) into 0
5.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.675 * [taylor]: Taking taylor expansion of (* z z) in x
5.675 * [taylor]: Taking taylor expansion of z in x
5.675 * [backup-simplify]: Simplify z into z
5.675 * [taylor]: Taking taylor expansion of z in x
5.675 * [backup-simplify]: Simplify z into z
5.675 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.675 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.675 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.675 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.676 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.676 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.676 * [backup-simplify]: Simplify (+ 0 0) into 0
5.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
5.677 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
5.677 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.677 * [taylor]: Taking taylor expansion of y in y
5.677 * [backup-simplify]: Simplify 0 into 0
5.677 * [backup-simplify]: Simplify 1 into 1
5.677 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.677 * [taylor]: Taking taylor expansion of z in y
5.677 * [backup-simplify]: Simplify z into z
5.677 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.677 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.677 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
5.677 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.678 * [backup-simplify]: Simplify (+ 0 0) into 0
5.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
5.678 * [taylor]: Taking taylor expansion of z in z
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify 1 into 1
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [taylor]: Taking taylor expansion of 0 in y
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [taylor]: Taking taylor expansion of 0 in z
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [taylor]: Taking taylor expansion of 0 in z
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify 0 into 0
5.678 * [backup-simplify]: Simplify 1 into 1
5.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.680 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.680 * [backup-simplify]: Simplify (+ 1 0) into 1
5.681 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.682 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.682 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.683 * [backup-simplify]: Simplify (+ 1 0) into 1
5.683 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.684 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
5.684 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.685 * [backup-simplify]: Simplify (+ 1 0) into 1
5.686 * [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)))))
5.686 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
5.686 * [taylor]: Taking taylor expansion of 1/2 in y
5.686 * [backup-simplify]: Simplify 1/2 into 1/2
5.686 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
5.686 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
5.686 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
5.686 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.686 * [taylor]: Taking taylor expansion of y in y
5.686 * [backup-simplify]: Simplify 0 into 0
5.686 * [backup-simplify]: Simplify 1 into 1
5.686 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.686 * [taylor]: Taking taylor expansion of z in y
5.686 * [backup-simplify]: Simplify z into z
5.686 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.687 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.687 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.687 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
5.687 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.687 * [backup-simplify]: Simplify (+ 0 0) into 0
5.688 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
5.688 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
5.688 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
5.688 * [taylor]: Taking taylor expansion of 1/2 in z
5.688 * [backup-simplify]: Simplify 1/2 into 1/2
5.688 * [taylor]: Taking taylor expansion of z in z
5.688 * [backup-simplify]: Simplify 0 into 0
5.688 * [backup-simplify]: Simplify 1 into 1
5.689 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.690 * [backup-simplify]: Simplify 0 into 0
5.690 * [taylor]: Taking taylor expansion of 0 in z
5.690 * [backup-simplify]: Simplify 0 into 0
5.690 * [backup-simplify]: Simplify 0 into 0
5.690 * [backup-simplify]: Simplify (* 1 1) into 1
5.691 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
5.691 * [backup-simplify]: Simplify (+ 1 0) into 1
5.692 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
5.692 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
5.692 * [taylor]: Taking taylor expansion of 1/2 in z
5.692 * [backup-simplify]: Simplify 1/2 into 1/2
5.692 * [taylor]: Taking taylor expansion of z in z
5.692 * [backup-simplify]: Simplify 0 into 0
5.692 * [backup-simplify]: Simplify 1 into 1
5.692 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
5.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
5.694 * [backup-simplify]: Simplify 0 into 0
5.694 * [backup-simplify]: Simplify 0 into 0
5.694 * [backup-simplify]: Simplify 0 into 0
5.694 * [backup-simplify]: Simplify 0 into 0
5.694 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
5.694 * [backup-simplify]: Simplify (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) into (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))
5.694 * [approximate]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in (x y z) around 0
5.694 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z
5.695 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.695 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z
5.695 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
5.695 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
5.695 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.695 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
5.695 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
5.695 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.695 * [taylor]: Taking taylor expansion of x in z
5.695 * [backup-simplify]: Simplify x into x
5.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.695 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.695 * [taylor]: Taking taylor expansion of x in z
5.695 * [backup-simplify]: Simplify x into x
5.695 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.695 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
5.695 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.695 * [taylor]: Taking taylor expansion of y in z
5.695 * [backup-simplify]: Simplify y into y
5.695 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.695 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.695 * [taylor]: Taking taylor expansion of y in z
5.695 * [backup-simplify]: Simplify y into y
5.695 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.696 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
5.696 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.696 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.696 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.696 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.697 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
5.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.697 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.698 * [backup-simplify]: Simplify (+ 0 0) into 0
5.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.698 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
5.698 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.698 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
5.698 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
5.698 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.698 * [taylor]: Taking taylor expansion of x in z
5.698 * [backup-simplify]: Simplify x into x
5.698 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.699 * [taylor]: Taking taylor expansion of (/ 1 x) in z
5.699 * [taylor]: Taking taylor expansion of x in z
5.699 * [backup-simplify]: Simplify x into x
5.699 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.699 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
5.699 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.699 * [taylor]: Taking taylor expansion of y in z
5.699 * [backup-simplify]: Simplify y into y
5.699 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.699 * [taylor]: Taking taylor expansion of (/ 1 y) in z
5.699 * [taylor]: Taking taylor expansion of y in z
5.699 * [backup-simplify]: Simplify y into y
5.699 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.699 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
5.699 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.699 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.700 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
5.700 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
5.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.701 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.701 * [backup-simplify]: Simplify (+ 0 0) into 0
5.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.702 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
5.702 * [taylor]: Taking taylor expansion of (/ 1 z) in z
5.702 * [taylor]: Taking taylor expansion of z in z
5.702 * [backup-simplify]: Simplify 0 into 0
5.702 * [backup-simplify]: Simplify 1 into 1
5.702 * [backup-simplify]: Simplify (/ 1 1) into 1
5.702 * [taylor]: Taking taylor expansion of (/ 1 z) in z
5.702 * [taylor]: Taking taylor expansion of z in z
5.702 * [backup-simplify]: Simplify 0 into 0
5.702 * [backup-simplify]: Simplify 1 into 1
5.703 * [backup-simplify]: Simplify (/ 1 1) into 1
5.703 * [backup-simplify]: Simplify (* 1 1) into 1
5.703 * [backup-simplify]: Simplify (+ 0 1) into 1
5.704 * [backup-simplify]: Simplify (sqrt 1) into 1
5.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.706 * [backup-simplify]: Simplify (+ 0 0) into 0
5.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.707 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y
5.707 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.707 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y
5.707 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
5.707 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
5.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.707 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
5.707 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
5.707 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.707 * [taylor]: Taking taylor expansion of x in y
5.707 * [backup-simplify]: Simplify x into x
5.708 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.708 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.708 * [taylor]: Taking taylor expansion of x in y
5.708 * [backup-simplify]: Simplify x into x
5.708 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.708 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
5.708 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.708 * [taylor]: Taking taylor expansion of y in y
5.708 * [backup-simplify]: Simplify 0 into 0
5.708 * [backup-simplify]: Simplify 1 into 1
5.708 * [backup-simplify]: Simplify (/ 1 1) into 1
5.708 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.708 * [taylor]: Taking taylor expansion of y in y
5.708 * [backup-simplify]: Simplify 0 into 0
5.708 * [backup-simplify]: Simplify 1 into 1
5.709 * [backup-simplify]: Simplify (/ 1 1) into 1
5.709 * [backup-simplify]: Simplify (* 1 1) into 1
5.709 * [backup-simplify]: Simplify (+ 0 1) into 1
5.710 * [backup-simplify]: Simplify (sqrt 1) into 1
5.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.712 * [backup-simplify]: Simplify (+ 0 0) into 0
5.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.713 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
5.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.713 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
5.713 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
5.713 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.713 * [taylor]: Taking taylor expansion of x in y
5.713 * [backup-simplify]: Simplify x into x
5.713 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.713 * [taylor]: Taking taylor expansion of (/ 1 x) in y
5.713 * [taylor]: Taking taylor expansion of x in y
5.713 * [backup-simplify]: Simplify x into x
5.714 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
5.714 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
5.714 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.714 * [taylor]: Taking taylor expansion of y in y
5.714 * [backup-simplify]: Simplify 0 into 0
5.714 * [backup-simplify]: Simplify 1 into 1
5.714 * [backup-simplify]: Simplify (/ 1 1) into 1
5.714 * [taylor]: Taking taylor expansion of (/ 1 y) in y
5.714 * [taylor]: Taking taylor expansion of y in y
5.714 * [backup-simplify]: Simplify 0 into 0
5.714 * [backup-simplify]: Simplify 1 into 1
5.715 * [backup-simplify]: Simplify (/ 1 1) into 1
5.715 * [backup-simplify]: Simplify (* 1 1) into 1
5.715 * [backup-simplify]: Simplify (+ 0 1) into 1
5.716 * [backup-simplify]: Simplify (sqrt 1) into 1
5.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.718 * [backup-simplify]: Simplify (+ 0 0) into 0
5.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.719 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
5.719 * [taylor]: Taking taylor expansion of (/ 1 z) in y
5.719 * [taylor]: Taking taylor expansion of z in y
5.719 * [backup-simplify]: Simplify z into z
5.719 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.719 * [taylor]: Taking taylor expansion of (/ 1 z) in y
5.719 * [taylor]: Taking taylor expansion of z in y
5.719 * [backup-simplify]: Simplify z into z
5.719 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.726 * [backup-simplify]: Simplify (* 1 1) into 1
5.727 * [backup-simplify]: Simplify (+ 1 0) into 1
5.728 * [backup-simplify]: Simplify (sqrt 1) into 1
5.728 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.729 * [backup-simplify]: Simplify (+ 0 0) into 0
5.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.729 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
5.730 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.730 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
5.730 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
5.730 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.730 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.730 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.730 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.730 * [taylor]: Taking taylor expansion of x in x
5.730 * [backup-simplify]: Simplify 0 into 0
5.730 * [backup-simplify]: Simplify 1 into 1
5.731 * [backup-simplify]: Simplify (/ 1 1) into 1
5.731 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.731 * [taylor]: Taking taylor expansion of x in x
5.731 * [backup-simplify]: Simplify 0 into 0
5.731 * [backup-simplify]: Simplify 1 into 1
5.731 * [backup-simplify]: Simplify (/ 1 1) into 1
5.731 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.731 * [taylor]: Taking taylor expansion of y in x
5.731 * [backup-simplify]: Simplify y into y
5.731 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.731 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.731 * [taylor]: Taking taylor expansion of y in x
5.731 * [backup-simplify]: Simplify y into y
5.731 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.732 * [backup-simplify]: Simplify (* 1 1) into 1
5.732 * [backup-simplify]: Simplify (+ 1 0) into 1
5.732 * [backup-simplify]: Simplify (sqrt 1) into 1
5.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.735 * [backup-simplify]: Simplify (+ 0 0) into 0
5.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.735 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.735 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.735 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.735 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.735 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.736 * [taylor]: Taking taylor expansion of x in x
5.736 * [backup-simplify]: Simplify 0 into 0
5.736 * [backup-simplify]: Simplify 1 into 1
5.736 * [backup-simplify]: Simplify (/ 1 1) into 1
5.736 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.736 * [taylor]: Taking taylor expansion of x in x
5.736 * [backup-simplify]: Simplify 0 into 0
5.736 * [backup-simplify]: Simplify 1 into 1
5.736 * [backup-simplify]: Simplify (/ 1 1) into 1
5.736 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.736 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.736 * [taylor]: Taking taylor expansion of y in x
5.736 * [backup-simplify]: Simplify y into y
5.737 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.737 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.737 * [taylor]: Taking taylor expansion of y in x
5.737 * [backup-simplify]: Simplify y into y
5.737 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.737 * [backup-simplify]: Simplify (* 1 1) into 1
5.737 * [backup-simplify]: Simplify (+ 1 0) into 1
5.738 * [backup-simplify]: Simplify (sqrt 1) into 1
5.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.740 * [backup-simplify]: Simplify (+ 0 0) into 0
5.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.740 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
5.740 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.740 * [taylor]: Taking taylor expansion of z in x
5.740 * [backup-simplify]: Simplify z into z
5.741 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.741 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.741 * [taylor]: Taking taylor expansion of z in x
5.741 * [backup-simplify]: Simplify z into z
5.741 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.741 * [backup-simplify]: Simplify (* 1 1) into 1
5.741 * [backup-simplify]: Simplify (+ 1 0) into 1
5.742 * [backup-simplify]: Simplify (sqrt 1) into 1
5.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.743 * [backup-simplify]: Simplify (+ 0 0) into 0
5.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.744 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
5.744 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
5.744 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
5.744 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
5.744 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.744 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.744 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.744 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.744 * [taylor]: Taking taylor expansion of x in x
5.744 * [backup-simplify]: Simplify 0 into 0
5.744 * [backup-simplify]: Simplify 1 into 1
5.744 * [backup-simplify]: Simplify (/ 1 1) into 1
5.744 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.744 * [taylor]: Taking taylor expansion of x in x
5.745 * [backup-simplify]: Simplify 0 into 0
5.745 * [backup-simplify]: Simplify 1 into 1
5.745 * [backup-simplify]: Simplify (/ 1 1) into 1
5.745 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.745 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.745 * [taylor]: Taking taylor expansion of y in x
5.745 * [backup-simplify]: Simplify y into y
5.745 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.745 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.745 * [taylor]: Taking taylor expansion of y in x
5.745 * [backup-simplify]: Simplify y into y
5.745 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.745 * [backup-simplify]: Simplify (* 1 1) into 1
5.746 * [backup-simplify]: Simplify (+ 1 0) into 1
5.746 * [backup-simplify]: Simplify (sqrt 1) into 1
5.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.748 * [backup-simplify]: Simplify (+ 0 0) into 0
5.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.749 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
5.749 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
5.749 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
5.749 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
5.749 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.749 * [taylor]: Taking taylor expansion of x in x
5.749 * [backup-simplify]: Simplify 0 into 0
5.749 * [backup-simplify]: Simplify 1 into 1
5.750 * [backup-simplify]: Simplify (/ 1 1) into 1
5.750 * [taylor]: Taking taylor expansion of (/ 1 x) in x
5.750 * [taylor]: Taking taylor expansion of x in x
5.750 * [backup-simplify]: Simplify 0 into 0
5.750 * [backup-simplify]: Simplify 1 into 1
5.750 * [backup-simplify]: Simplify (/ 1 1) into 1
5.750 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
5.750 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.750 * [taylor]: Taking taylor expansion of y in x
5.750 * [backup-simplify]: Simplify y into y
5.750 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.750 * [taylor]: Taking taylor expansion of (/ 1 y) in x
5.750 * [taylor]: Taking taylor expansion of y in x
5.750 * [backup-simplify]: Simplify y into y
5.751 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
5.751 * [backup-simplify]: Simplify (* 1 1) into 1
5.751 * [backup-simplify]: Simplify (+ 1 0) into 1
5.752 * [backup-simplify]: Simplify (sqrt 1) into 1
5.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.754 * [backup-simplify]: Simplify (+ 0 0) into 0
5.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.755 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
5.755 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.755 * [taylor]: Taking taylor expansion of z in x
5.755 * [backup-simplify]: Simplify z into z
5.755 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.755 * [taylor]: Taking taylor expansion of (/ 1 z) in x
5.755 * [taylor]: Taking taylor expansion of z in x
5.755 * [backup-simplify]: Simplify z into z
5.755 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
5.755 * [backup-simplify]: Simplify (* 1 1) into 1
5.756 * [backup-simplify]: Simplify (+ 1 0) into 1
5.756 * [backup-simplify]: Simplify (sqrt 1) into 1
5.757 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.757 * [backup-simplify]: Simplify (+ 0 0) into 0
5.758 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.758 * [taylor]: Taking taylor expansion of 1 in y
5.758 * [backup-simplify]: Simplify 1 into 1
5.758 * [taylor]: Taking taylor expansion of 0 in y
5.758 * [backup-simplify]: Simplify 0 into 0
5.758 * [taylor]: Taking taylor expansion of 1 in z
5.758 * [backup-simplify]: Simplify 1 into 1
5.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.760 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.761 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.764 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
5.764 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.765 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.766 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
5.766 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2))
5.767 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
5.768 * [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))))
5.768 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
5.768 * [taylor]: Taking taylor expansion of 1/2 in y
5.768 * [backup-simplify]: Simplify 1/2 into 1/2
5.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
5.768 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.768 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.768 * [taylor]: Taking taylor expansion of z in y
5.768 * [backup-simplify]: Simplify z into z
5.768 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.768 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.768 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.768 * [taylor]: Taking taylor expansion of y in y
5.768 * [backup-simplify]: Simplify 0 into 0
5.768 * [backup-simplify]: Simplify 1 into 1
5.769 * [backup-simplify]: Simplify (* 1 1) into 1
5.769 * [backup-simplify]: Simplify (/ 1 1) into 1
5.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.771 * [backup-simplify]: Simplify (+ 0 0) into 0
5.771 * [backup-simplify]: Simplify (+ 0 1) into 1
5.772 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.772 * [taylor]: Taking taylor expansion of 0 in z
5.772 * [backup-simplify]: Simplify 0 into 0
5.772 * [taylor]: Taking taylor expansion of 0 in z
5.772 * [backup-simplify]: Simplify 0 into 0
5.772 * [taylor]: Taking taylor expansion of 0 in z
5.772 * [backup-simplify]: Simplify 0 into 0
5.772 * [backup-simplify]: Simplify 1 into 1
5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.775 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.775 * [backup-simplify]: Simplify (+ 0 0) into 0
5.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.778 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
5.778 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
5.779 * [backup-simplify]: Simplify (+ 0 0) into 0
5.779 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
5.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
5.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
5.781 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0
5.781 * [backup-simplify]: Simplify (+ 0 0) into 0
5.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
5.782 * [taylor]: Taking taylor expansion of 0 in y
5.782 * [backup-simplify]: Simplify 0 into 0
5.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.783 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
5.784 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
5.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
5.784 * [taylor]: Taking taylor expansion of 1/2 in z
5.784 * [backup-simplify]: Simplify 1/2 into 1/2
5.784 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.784 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.784 * [taylor]: Taking taylor expansion of z in z
5.784 * [backup-simplify]: Simplify 0 into 0
5.784 * [backup-simplify]: Simplify 1 into 1
5.785 * [backup-simplify]: Simplify (* 1 1) into 1
5.785 * [backup-simplify]: Simplify (/ 1 1) into 1
5.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [taylor]: Taking taylor expansion of 0 in z
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [taylor]: Taking taylor expansion of 0 in z
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify 0 into 0
5.787 * [backup-simplify]: Simplify 0 into 0
5.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.791 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.791 * [backup-simplify]: Simplify (+ 0 0) into 0
5.792 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.795 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
5.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.796 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
5.796 * [backup-simplify]: Simplify (+ 0 0) into 0
5.797 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.799 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
5.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.800 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0
5.800 * [backup-simplify]: Simplify (+ 0 0) into 0
5.802 * [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))))))
5.802 * [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
5.802 * [taylor]: Taking taylor expansion of -1/2 in y
5.802 * [backup-simplify]: Simplify -1/2 into -1/2
5.802 * [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
5.802 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
5.802 * [taylor]: Taking taylor expansion of 1/4 in y
5.802 * [backup-simplify]: Simplify 1/4 into 1/4
5.802 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
5.802 * [taylor]: Taking taylor expansion of (pow z 4) in y
5.802 * [taylor]: Taking taylor expansion of z in y
5.802 * [backup-simplify]: Simplify z into z
5.802 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.802 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
5.802 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
5.802 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
5.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
5.802 * [taylor]: Taking taylor expansion of 1/2 in y
5.802 * [backup-simplify]: Simplify 1/2 into 1/2
5.802 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
5.802 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
5.802 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.802 * [taylor]: Taking taylor expansion of z in y
5.803 * [backup-simplify]: Simplify z into z
5.803 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.803 * [taylor]: Taking taylor expansion of y in y
5.803 * [backup-simplify]: Simplify 0 into 0
5.803 * [backup-simplify]: Simplify 1 into 1
5.803 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.803 * [backup-simplify]: Simplify (* 1 1) into 1
5.803 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
5.803 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.803 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
5.803 * [taylor]: Taking taylor expansion of 1/4 in y
5.803 * [backup-simplify]: Simplify 1/4 into 1/4
5.803 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
5.804 * [taylor]: Taking taylor expansion of (pow y 4) in y
5.804 * [taylor]: Taking taylor expansion of y in y
5.804 * [backup-simplify]: Simplify 0 into 0
5.804 * [backup-simplify]: Simplify 1 into 1
5.804 * [backup-simplify]: Simplify (* 1 1) into 1
5.804 * [backup-simplify]: Simplify (* 1 1) into 1
5.805 * [backup-simplify]: Simplify (/ 1 1) into 1
5.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.805 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.806 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
5.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.807 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
5.807 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.810 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.814 * [backup-simplify]: Simplify (+ 0 0) into 0
5.814 * [backup-simplify]: Simplify (+ 0 0) into 0
5.815 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
5.816 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.816 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
5.816 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
5.817 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.818 * [backup-simplify]: Simplify (+ 0 0) into 0
5.818 * [backup-simplify]: Simplify (+ 0 0) into 0
5.819 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.820 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.820 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.822 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.822 * [taylor]: Taking taylor expansion of 0 in z
5.822 * [backup-simplify]: Simplify 0 into 0
5.822 * [taylor]: Taking taylor expansion of 0 in z
5.822 * [backup-simplify]: Simplify 0 into 0
5.822 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.824 * [backup-simplify]: Simplify (+ 0 0) into 0
5.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
5.826 * [taylor]: Taking taylor expansion of 0 in z
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [taylor]: Taking taylor expansion of 0 in z
5.826 * [backup-simplify]: Simplify 0 into 0
5.826 * [taylor]: Taking taylor expansion of 0 in z
5.826 * [backup-simplify]: Simplify 0 into 0
5.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.829 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.829 * [backup-simplify]: Simplify 0 into 0
5.829 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
5.829 * [backup-simplify]: Simplify (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z))) into (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))
5.829 * [approximate]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in (x y z) around 0
5.829 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z
5.830 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.830 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z
5.830 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
5.830 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
5.830 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.830 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
5.830 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
5.830 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.830 * [taylor]: Taking taylor expansion of -1 in z
5.830 * [backup-simplify]: Simplify -1 into -1
5.830 * [taylor]: Taking taylor expansion of x in z
5.830 * [backup-simplify]: Simplify x into x
5.830 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.830 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.830 * [taylor]: Taking taylor expansion of -1 in z
5.830 * [backup-simplify]: Simplify -1 into -1
5.830 * [taylor]: Taking taylor expansion of x in z
5.830 * [backup-simplify]: Simplify x into x
5.830 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.830 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
5.830 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.830 * [taylor]: Taking taylor expansion of -1 in z
5.830 * [backup-simplify]: Simplify -1 into -1
5.831 * [taylor]: Taking taylor expansion of y in z
5.831 * [backup-simplify]: Simplify y into y
5.831 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.831 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.831 * [taylor]: Taking taylor expansion of -1 in z
5.831 * [backup-simplify]: Simplify -1 into -1
5.831 * [taylor]: Taking taylor expansion of y in z
5.831 * [backup-simplify]: Simplify y into y
5.831 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.831 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
5.831 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.831 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.832 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.832 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.832 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.832 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
5.832 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.832 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.832 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.833 * [backup-simplify]: Simplify (+ 0 0) into 0
5.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.833 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
5.834 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.834 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
5.834 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
5.834 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.834 * [taylor]: Taking taylor expansion of -1 in z
5.834 * [backup-simplify]: Simplify -1 into -1
5.834 * [taylor]: Taking taylor expansion of x in z
5.834 * [backup-simplify]: Simplify x into x
5.834 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.834 * [taylor]: Taking taylor expansion of (/ -1 x) in z
5.834 * [taylor]: Taking taylor expansion of -1 in z
5.834 * [backup-simplify]: Simplify -1 into -1
5.834 * [taylor]: Taking taylor expansion of x in z
5.834 * [backup-simplify]: Simplify x into x
5.834 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.834 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
5.834 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.834 * [taylor]: Taking taylor expansion of -1 in z
5.834 * [backup-simplify]: Simplify -1 into -1
5.834 * [taylor]: Taking taylor expansion of y in z
5.834 * [backup-simplify]: Simplify y into y
5.834 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.834 * [taylor]: Taking taylor expansion of (/ -1 y) in z
5.834 * [taylor]: Taking taylor expansion of -1 in z
5.834 * [backup-simplify]: Simplify -1 into -1
5.834 * [taylor]: Taking taylor expansion of y in z
5.834 * [backup-simplify]: Simplify y into y
5.834 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.835 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
5.835 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.835 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
5.835 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
5.835 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.835 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
5.836 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
5.836 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.836 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.836 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.836 * [backup-simplify]: Simplify (+ 0 0) into 0
5.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
5.837 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
5.837 * [taylor]: Taking taylor expansion of (/ -1 z) in z
5.837 * [taylor]: Taking taylor expansion of -1 in z
5.837 * [backup-simplify]: Simplify -1 into -1
5.837 * [taylor]: Taking taylor expansion of z in z
5.837 * [backup-simplify]: Simplify 0 into 0
5.837 * [backup-simplify]: Simplify 1 into 1
5.837 * [backup-simplify]: Simplify (/ -1 1) into -1
5.837 * [taylor]: Taking taylor expansion of (/ -1 z) in z
5.837 * [taylor]: Taking taylor expansion of -1 in z
5.837 * [backup-simplify]: Simplify -1 into -1
5.837 * [taylor]: Taking taylor expansion of z in z
5.837 * [backup-simplify]: Simplify 0 into 0
5.837 * [backup-simplify]: Simplify 1 into 1
5.838 * [backup-simplify]: Simplify (/ -1 1) into -1
5.838 * [backup-simplify]: Simplify (* -1 -1) into 1
5.839 * [backup-simplify]: Simplify (+ 0 1) into 1
5.839 * [backup-simplify]: Simplify (sqrt 1) into 1
5.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.841 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.841 * [backup-simplify]: Simplify (+ 0 0) into 0
5.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.842 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y
5.842 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.842 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y
5.842 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
5.842 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
5.842 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.842 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
5.842 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
5.842 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.842 * [taylor]: Taking taylor expansion of -1 in y
5.842 * [backup-simplify]: Simplify -1 into -1
5.842 * [taylor]: Taking taylor expansion of x in y
5.842 * [backup-simplify]: Simplify x into x
5.842 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.842 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.842 * [taylor]: Taking taylor expansion of -1 in y
5.843 * [backup-simplify]: Simplify -1 into -1
5.843 * [taylor]: Taking taylor expansion of x in y
5.843 * [backup-simplify]: Simplify x into x
5.843 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.843 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
5.843 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.843 * [taylor]: Taking taylor expansion of -1 in y
5.843 * [backup-simplify]: Simplify -1 into -1
5.843 * [taylor]: Taking taylor expansion of y in y
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.843 * [backup-simplify]: Simplify (/ -1 1) into -1
5.843 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.843 * [taylor]: Taking taylor expansion of -1 in y
5.843 * [backup-simplify]: Simplify -1 into -1
5.843 * [taylor]: Taking taylor expansion of y in y
5.843 * [backup-simplify]: Simplify 0 into 0
5.843 * [backup-simplify]: Simplify 1 into 1
5.844 * [backup-simplify]: Simplify (/ -1 1) into -1
5.844 * [backup-simplify]: Simplify (* -1 -1) into 1
5.845 * [backup-simplify]: Simplify (+ 0 1) into 1
5.845 * [backup-simplify]: Simplify (sqrt 1) into 1
5.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.846 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.847 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.847 * [backup-simplify]: Simplify (+ 0 0) into 0
5.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.848 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
5.848 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.848 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
5.848 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
5.848 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.848 * [taylor]: Taking taylor expansion of -1 in y
5.848 * [backup-simplify]: Simplify -1 into -1
5.848 * [taylor]: Taking taylor expansion of x in y
5.848 * [backup-simplify]: Simplify x into x
5.848 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.848 * [taylor]: Taking taylor expansion of (/ -1 x) in y
5.848 * [taylor]: Taking taylor expansion of -1 in y
5.849 * [backup-simplify]: Simplify -1 into -1
5.849 * [taylor]: Taking taylor expansion of x in y
5.849 * [backup-simplify]: Simplify x into x
5.849 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
5.849 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
5.849 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.849 * [taylor]: Taking taylor expansion of -1 in y
5.849 * [backup-simplify]: Simplify -1 into -1
5.849 * [taylor]: Taking taylor expansion of y in y
5.849 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify 1 into 1
5.849 * [backup-simplify]: Simplify (/ -1 1) into -1
5.849 * [taylor]: Taking taylor expansion of (/ -1 y) in y
5.849 * [taylor]: Taking taylor expansion of -1 in y
5.849 * [backup-simplify]: Simplify -1 into -1
5.849 * [taylor]: Taking taylor expansion of y in y
5.849 * [backup-simplify]: Simplify 0 into 0
5.849 * [backup-simplify]: Simplify 1 into 1
5.850 * [backup-simplify]: Simplify (/ -1 1) into -1
5.850 * [backup-simplify]: Simplify (* -1 -1) into 1
5.850 * [backup-simplify]: Simplify (+ 0 1) into 1
5.851 * [backup-simplify]: Simplify (sqrt 1) into 1
5.851 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.852 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.853 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.853 * [backup-simplify]: Simplify (+ 0 0) into 0
5.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.854 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
5.854 * [taylor]: Taking taylor expansion of (/ -1 z) in y
5.854 * [taylor]: Taking taylor expansion of -1 in y
5.854 * [backup-simplify]: Simplify -1 into -1
5.854 * [taylor]: Taking taylor expansion of z in y
5.854 * [backup-simplify]: Simplify z into z
5.854 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.854 * [taylor]: Taking taylor expansion of (/ -1 z) in y
5.854 * [taylor]: Taking taylor expansion of -1 in y
5.854 * [backup-simplify]: Simplify -1 into -1
5.854 * [taylor]: Taking taylor expansion of z in y
5.854 * [backup-simplify]: Simplify z into z
5.854 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.854 * [backup-simplify]: Simplify (* 1 1) into 1
5.855 * [backup-simplify]: Simplify (+ 1 0) into 1
5.855 * [backup-simplify]: Simplify (sqrt 1) into 1
5.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.856 * [backup-simplify]: Simplify (+ 0 0) into 0
5.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.856 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
5.857 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.857 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
5.857 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
5.857 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.857 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.857 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.857 * [taylor]: Taking taylor expansion of -1 in x
5.857 * [backup-simplify]: Simplify -1 into -1
5.857 * [taylor]: Taking taylor expansion of x in x
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 1 into 1
5.857 * [backup-simplify]: Simplify (/ -1 1) into -1
5.857 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.857 * [taylor]: Taking taylor expansion of -1 in x
5.857 * [backup-simplify]: Simplify -1 into -1
5.857 * [taylor]: Taking taylor expansion of x in x
5.857 * [backup-simplify]: Simplify 0 into 0
5.857 * [backup-simplify]: Simplify 1 into 1
5.858 * [backup-simplify]: Simplify (/ -1 1) into -1
5.858 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.858 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.858 * [taylor]: Taking taylor expansion of -1 in x
5.858 * [backup-simplify]: Simplify -1 into -1
5.858 * [taylor]: Taking taylor expansion of y in x
5.858 * [backup-simplify]: Simplify y into y
5.858 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.858 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.858 * [taylor]: Taking taylor expansion of -1 in x
5.858 * [backup-simplify]: Simplify -1 into -1
5.858 * [taylor]: Taking taylor expansion of y in x
5.858 * [backup-simplify]: Simplify y into y
5.858 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.859 * [backup-simplify]: Simplify (* -1 -1) into 1
5.859 * [backup-simplify]: Simplify (+ 1 0) into 1
5.859 * [backup-simplify]: Simplify (sqrt 1) into 1
5.860 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.861 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.861 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.862 * [backup-simplify]: Simplify (+ 0 0) into 0
5.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.867 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.867 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.867 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.867 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.868 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.868 * [taylor]: Taking taylor expansion of -1 in x
5.868 * [backup-simplify]: Simplify -1 into -1
5.868 * [taylor]: Taking taylor expansion of x in x
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 1 into 1
5.868 * [backup-simplify]: Simplify (/ -1 1) into -1
5.868 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.868 * [taylor]: Taking taylor expansion of -1 in x
5.868 * [backup-simplify]: Simplify -1 into -1
5.868 * [taylor]: Taking taylor expansion of x in x
5.868 * [backup-simplify]: Simplify 0 into 0
5.868 * [backup-simplify]: Simplify 1 into 1
5.869 * [backup-simplify]: Simplify (/ -1 1) into -1
5.869 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.869 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.869 * [taylor]: Taking taylor expansion of -1 in x
5.869 * [backup-simplify]: Simplify -1 into -1
5.869 * [taylor]: Taking taylor expansion of y in x
5.869 * [backup-simplify]: Simplify y into y
5.869 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.869 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.869 * [taylor]: Taking taylor expansion of -1 in x
5.869 * [backup-simplify]: Simplify -1 into -1
5.869 * [taylor]: Taking taylor expansion of y in x
5.869 * [backup-simplify]: Simplify y into y
5.869 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.870 * [backup-simplify]: Simplify (* -1 -1) into 1
5.870 * [backup-simplify]: Simplify (+ 1 0) into 1
5.870 * [backup-simplify]: Simplify (sqrt 1) into 1
5.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.872 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.873 * [backup-simplify]: Simplify (+ 0 0) into 0
5.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.873 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
5.873 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.873 * [taylor]: Taking taylor expansion of -1 in x
5.873 * [backup-simplify]: Simplify -1 into -1
5.873 * [taylor]: Taking taylor expansion of z in x
5.873 * [backup-simplify]: Simplify z into z
5.873 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.874 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.874 * [taylor]: Taking taylor expansion of -1 in x
5.874 * [backup-simplify]: Simplify -1 into -1
5.874 * [taylor]: Taking taylor expansion of z in x
5.874 * [backup-simplify]: Simplify z into z
5.874 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.874 * [backup-simplify]: Simplify (* 1 1) into 1
5.874 * [backup-simplify]: Simplify (+ 1 0) into 1
5.875 * [backup-simplify]: Simplify (sqrt 1) into 1
5.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.876 * [backup-simplify]: Simplify (+ 0 0) into 0
5.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.876 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
5.876 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
5.876 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
5.876 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
5.876 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.876 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.877 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.877 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.877 * [taylor]: Taking taylor expansion of -1 in x
5.877 * [backup-simplify]: Simplify -1 into -1
5.877 * [taylor]: Taking taylor expansion of x in x
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 1 into 1
5.877 * [backup-simplify]: Simplify (/ -1 1) into -1
5.877 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.877 * [taylor]: Taking taylor expansion of -1 in x
5.877 * [backup-simplify]: Simplify -1 into -1
5.877 * [taylor]: Taking taylor expansion of x in x
5.877 * [backup-simplify]: Simplify 0 into 0
5.877 * [backup-simplify]: Simplify 1 into 1
5.878 * [backup-simplify]: Simplify (/ -1 1) into -1
5.878 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.878 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.878 * [taylor]: Taking taylor expansion of -1 in x
5.878 * [backup-simplify]: Simplify -1 into -1
5.878 * [taylor]: Taking taylor expansion of y in x
5.878 * [backup-simplify]: Simplify y into y
5.878 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.878 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.878 * [taylor]: Taking taylor expansion of -1 in x
5.878 * [backup-simplify]: Simplify -1 into -1
5.878 * [taylor]: Taking taylor expansion of y in x
5.878 * [backup-simplify]: Simplify y into y
5.878 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.878 * [backup-simplify]: Simplify (* -1 -1) into 1
5.879 * [backup-simplify]: Simplify (+ 1 0) into 1
5.879 * [backup-simplify]: Simplify (sqrt 1) into 1
5.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.881 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.881 * [backup-simplify]: Simplify (+ 0 0) into 0
5.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
5.882 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
5.882 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
5.882 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
5.882 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.882 * [taylor]: Taking taylor expansion of -1 in x
5.882 * [backup-simplify]: Simplify -1 into -1
5.882 * [taylor]: Taking taylor expansion of x in x
5.882 * [backup-simplify]: Simplify 0 into 0
5.882 * [backup-simplify]: Simplify 1 into 1
5.883 * [backup-simplify]: Simplify (/ -1 1) into -1
5.883 * [taylor]: Taking taylor expansion of (/ -1 x) in x
5.883 * [taylor]: Taking taylor expansion of -1 in x
5.883 * [backup-simplify]: Simplify -1 into -1
5.883 * [taylor]: Taking taylor expansion of x in x
5.883 * [backup-simplify]: Simplify 0 into 0
5.883 * [backup-simplify]: Simplify 1 into 1
5.883 * [backup-simplify]: Simplify (/ -1 1) into -1
5.883 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
5.883 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.883 * [taylor]: Taking taylor expansion of -1 in x
5.883 * [backup-simplify]: Simplify -1 into -1
5.883 * [taylor]: Taking taylor expansion of y in x
5.883 * [backup-simplify]: Simplify y into y
5.883 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.883 * [taylor]: Taking taylor expansion of (/ -1 y) in x
5.883 * [taylor]: Taking taylor expansion of -1 in x
5.883 * [backup-simplify]: Simplify -1 into -1
5.883 * [taylor]: Taking taylor expansion of y in x
5.883 * [backup-simplify]: Simplify y into y
5.884 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
5.884 * [backup-simplify]: Simplify (* -1 -1) into 1
5.884 * [backup-simplify]: Simplify (+ 1 0) into 1
5.884 * [backup-simplify]: Simplify (sqrt 1) into 1
5.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
5.886 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
5.887 * [backup-simplify]: Simplify (+ 0 0) into 0
5.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.887 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
5.887 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.887 * [taylor]: Taking taylor expansion of -1 in x
5.887 * [backup-simplify]: Simplify -1 into -1
5.887 * [taylor]: Taking taylor expansion of z in x
5.887 * [backup-simplify]: Simplify z into z
5.887 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.887 * [taylor]: Taking taylor expansion of (/ -1 z) in x
5.887 * [taylor]: Taking taylor expansion of -1 in x
5.888 * [backup-simplify]: Simplify -1 into -1
5.888 * [taylor]: Taking taylor expansion of z in x
5.888 * [backup-simplify]: Simplify z into z
5.888 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
5.888 * [backup-simplify]: Simplify (* 1 1) into 1
5.888 * [backup-simplify]: Simplify (+ 1 0) into 1
5.889 * [backup-simplify]: Simplify (sqrt 1) into 1
5.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.889 * [backup-simplify]: Simplify (+ 0 0) into 0
5.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
5.890 * [taylor]: Taking taylor expansion of 1 in y
5.890 * [backup-simplify]: Simplify 1 into 1
5.890 * [taylor]: Taking taylor expansion of 0 in y
5.890 * [backup-simplify]: Simplify 0 into 0
5.890 * [taylor]: Taking taylor expansion of 1 in z
5.890 * [backup-simplify]: Simplify 1 into 1
5.891 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.893 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.893 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.893 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.894 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.896 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.896 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
5.896 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
5.897 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
5.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
5.898 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
5.899 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2))
5.899 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
5.900 * [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))))
5.900 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) in y
5.900 * [taylor]: Taking taylor expansion of 1/2 in y
5.900 * [backup-simplify]: Simplify 1/2 into 1/2
5.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow z 2)) (/ 1 (pow y 2))) in y
5.900 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
5.900 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.900 * [taylor]: Taking taylor expansion of z in y
5.900 * [backup-simplify]: Simplify z into z
5.900 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.900 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
5.901 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.901 * [taylor]: Taking taylor expansion of y in y
5.901 * [backup-simplify]: Simplify 0 into 0
5.901 * [backup-simplify]: Simplify 1 into 1
5.901 * [backup-simplify]: Simplify (* 1 1) into 1
5.901 * [backup-simplify]: Simplify (/ 1 1) into 1
5.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.903 * [backup-simplify]: Simplify (+ 0 0) into 0
5.903 * [backup-simplify]: Simplify (+ 0 1) into 1
5.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.904 * [taylor]: Taking taylor expansion of 0 in z
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [taylor]: Taking taylor expansion of 0 in z
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [taylor]: Taking taylor expansion of 0 in z
5.904 * [backup-simplify]: Simplify 0 into 0
5.904 * [backup-simplify]: Simplify 1 into 1
5.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.906 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.907 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.907 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.907 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.907 * [backup-simplify]: Simplify (+ 0 0) into 0
5.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.909 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.910 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
5.910 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.910 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
5.911 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
5.911 * [backup-simplify]: Simplify (+ 0 0) into 0
5.911 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
5.912 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
5.913 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
5.913 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
5.913 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0
5.913 * [backup-simplify]: Simplify (+ 0 0) into 0
5.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
5.914 * [taylor]: Taking taylor expansion of 0 in y
5.914 * [backup-simplify]: Simplify 0 into 0
5.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.916 * [backup-simplify]: Simplify (+ (/ 1 (pow z 2)) 0) into (/ 1 (pow z 2))
5.916 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
5.916 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
5.916 * [taylor]: Taking taylor expansion of 1/2 in z
5.916 * [backup-simplify]: Simplify 1/2 into 1/2
5.916 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
5.916 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.916 * [taylor]: Taking taylor expansion of z in z
5.916 * [backup-simplify]: Simplify 0 into 0
5.916 * [backup-simplify]: Simplify 1 into 1
5.917 * [backup-simplify]: Simplify (* 1 1) into 1
5.917 * [backup-simplify]: Simplify (/ 1 1) into 1
5.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.919 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [taylor]: Taking taylor expansion of 0 in z
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [taylor]: Taking taylor expansion of 0 in z
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.919 * [backup-simplify]: Simplify 0 into 0
5.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.922 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.922 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.922 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.922 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
5.923 * [backup-simplify]: Simplify (+ 0 0) into 0
5.924 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
5.927 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.927 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
5.927 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
5.928 * [backup-simplify]: Simplify (+ 0 0) into 0
5.929 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
5.930 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
5.930 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.930 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
5.931 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0
5.931 * [backup-simplify]: Simplify (+ 0 0) into 0
5.933 * [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))))))
5.933 * [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
5.933 * [taylor]: Taking taylor expansion of -1/2 in y
5.933 * [backup-simplify]: Simplify -1/2 into -1/2
5.933 * [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
5.933 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
5.933 * [taylor]: Taking taylor expansion of 1/4 in y
5.933 * [backup-simplify]: Simplify 1/4 into 1/4
5.933 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
5.933 * [taylor]: Taking taylor expansion of (pow z 4) in y
5.933 * [taylor]: Taking taylor expansion of z in y
5.933 * [backup-simplify]: Simplify z into z
5.933 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.933 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
5.933 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
5.933 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))) in y
5.933 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
5.934 * [taylor]: Taking taylor expansion of 1/2 in y
5.934 * [backup-simplify]: Simplify 1/2 into 1/2
5.934 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
5.934 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
5.934 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.934 * [taylor]: Taking taylor expansion of z in y
5.934 * [backup-simplify]: Simplify z into z
5.934 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.934 * [taylor]: Taking taylor expansion of y in y
5.934 * [backup-simplify]: Simplify 0 into 0
5.934 * [backup-simplify]: Simplify 1 into 1
5.934 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.934 * [backup-simplify]: Simplify (* 1 1) into 1
5.934 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
5.934 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
5.934 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
5.934 * [taylor]: Taking taylor expansion of 1/4 in y
5.934 * [backup-simplify]: Simplify 1/4 into 1/4
5.935 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
5.935 * [taylor]: Taking taylor expansion of (pow y 4) in y
5.935 * [taylor]: Taking taylor expansion of y in y
5.935 * [backup-simplify]: Simplify 0 into 0
5.935 * [backup-simplify]: Simplify 1 into 1
5.935 * [backup-simplify]: Simplify (* 1 1) into 1
5.935 * [backup-simplify]: Simplify (* 1 1) into 1
5.936 * [backup-simplify]: Simplify (/ 1 1) into 1
5.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.936 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.937 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
5.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.937 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
5.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
5.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.944 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.945 * [backup-simplify]: Simplify (+ 0 0) into 0
5.945 * [backup-simplify]: Simplify (+ 0 0) into 0
5.945 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
5.946 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
5.946 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
5.946 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (pow z 2)))) into (* 1/2 (/ 1 (pow z 2)))
5.947 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
5.947 * [backup-simplify]: Simplify (+ 0 0) into 0
5.948 * [backup-simplify]: Simplify (+ 0 0) into 0
5.948 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
5.948 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.949 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
5.950 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
5.950 * [taylor]: Taking taylor expansion of 0 in z
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [taylor]: Taking taylor expansion of 0 in z
5.950 * [backup-simplify]: Simplify 0 into 0
5.950 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
5.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
5.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.952 * [backup-simplify]: Simplify (+ 0 0) into 0
5.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
5.953 * [taylor]: Taking taylor expansion of 0 in z
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [taylor]: Taking taylor expansion of 0 in z
5.953 * [backup-simplify]: Simplify 0 into 0
5.953 * [taylor]: Taking taylor expansion of 0 in z
5.953 * [backup-simplify]: Simplify 0 into 0
5.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
5.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
5.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
5.956 * [backup-simplify]: Simplify 0 into 0
5.956 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
5.956 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
5.956 * [backup-simplify]: Simplify (sqrt (hypot (hypot x y) z)) into (sqrt (hypot (hypot x y) z))
5.956 * [approximate]: Taking taylor expansion of (sqrt (hypot (hypot x y) z)) in (x y z) around 0
5.956 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot x y) z)) in z
5.956 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in z
5.956 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.956 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in z
5.956 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in z
5.956 * [taylor]: Taking taylor expansion of (hypot x y) in z
5.957 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.957 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
5.957 * [taylor]: Taking taylor expansion of (* x x) in z
5.957 * [taylor]: Taking taylor expansion of x in z
5.957 * [backup-simplify]: Simplify x into x
5.957 * [taylor]: Taking taylor expansion of x in z
5.957 * [backup-simplify]: Simplify x into x
5.957 * [taylor]: Taking taylor expansion of (* y y) in z
5.957 * [taylor]: Taking taylor expansion of y in z
5.957 * [backup-simplify]: Simplify y into y
5.957 * [taylor]: Taking taylor expansion of y in z
5.957 * [backup-simplify]: Simplify y into y
5.957 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.957 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.957 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
5.957 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.957 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.958 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.958 * [backup-simplify]: Simplify (+ 0 0) into 0
5.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.958 * [taylor]: Taking taylor expansion of (hypot x y) in z
5.958 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.958 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in z
5.958 * [taylor]: Taking taylor expansion of (* x x) in z
5.958 * [taylor]: Taking taylor expansion of x in z
5.958 * [backup-simplify]: Simplify x into x
5.958 * [taylor]: Taking taylor expansion of x in z
5.958 * [backup-simplify]: Simplify x into x
5.958 * [taylor]: Taking taylor expansion of (* y y) in z
5.958 * [taylor]: Taking taylor expansion of y in z
5.959 * [backup-simplify]: Simplify y into y
5.959 * [taylor]: Taking taylor expansion of y in z
5.959 * [backup-simplify]: Simplify y into y
5.959 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.959 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.959 * [backup-simplify]: Simplify (+ (pow x 2) (pow y 2)) into (+ (pow x 2) (pow y 2))
5.959 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.959 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.959 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.960 * [backup-simplify]: Simplify (+ 0 0) into 0
5.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.960 * [taylor]: Taking taylor expansion of (* z z) in z
5.960 * [taylor]: Taking taylor expansion of z in z
5.960 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify 1 into 1
5.960 * [taylor]: Taking taylor expansion of z in z
5.960 * [backup-simplify]: Simplify 0 into 0
5.960 * [backup-simplify]: Simplify 1 into 1
5.960 * [backup-simplify]: Simplify (* (sqrt (+ (pow x 2) (pow y 2))) (sqrt (+ (pow x 2) (pow y 2)))) into (+ (pow x 2) (pow y 2))
5.961 * [backup-simplify]: Simplify (* 0 0) into 0
5.961 * [backup-simplify]: Simplify (+ (+ (pow x 2) (pow y 2)) 0) into (+ (pow x 2) (pow y 2))
5.961 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow y 2))) into (sqrt (+ (pow x 2) (pow y 2)))
5.962 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow x 2) (pow y 2))) 0) (* 0 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.962 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.963 * [backup-simplify]: Simplify (+ 0 0) into 0
5.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow y 2))))) into 0
5.963 * [backup-simplify]: Simplify (sqrt (sqrt (+ (pow x 2) (pow y 2)))) into (pow (+ (pow x 2) (pow y 2)) 1/4)
5.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow x 2) (pow y 2)))))) into 0
5.963 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot x y) z)) in y
5.963 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in y
5.964 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.964 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in y
5.964 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in y
5.964 * [taylor]: Taking taylor expansion of (hypot x y) in y
5.964 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.964 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
5.964 * [taylor]: Taking taylor expansion of (* x x) in y
5.964 * [taylor]: Taking taylor expansion of x in y
5.964 * [backup-simplify]: Simplify x into x
5.964 * [taylor]: Taking taylor expansion of x in y
5.964 * [backup-simplify]: Simplify x into x
5.964 * [taylor]: Taking taylor expansion of (* y y) in y
5.964 * [taylor]: Taking taylor expansion of y in y
5.964 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify 1 into 1
5.964 * [taylor]: Taking taylor expansion of y in y
5.964 * [backup-simplify]: Simplify 0 into 0
5.964 * [backup-simplify]: Simplify 1 into 1
5.964 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.964 * [backup-simplify]: Simplify (* 0 0) into 0
5.965 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.965 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.965 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.965 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.966 * [backup-simplify]: Simplify (+ 0 0) into 0
5.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.966 * [taylor]: Taking taylor expansion of (hypot x y) in y
5.966 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.966 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in y
5.966 * [taylor]: Taking taylor expansion of (* x x) in y
5.966 * [taylor]: Taking taylor expansion of x in y
5.966 * [backup-simplify]: Simplify x into x
5.966 * [taylor]: Taking taylor expansion of x in y
5.966 * [backup-simplify]: Simplify x into x
5.966 * [taylor]: Taking taylor expansion of (* y y) in y
5.966 * [taylor]: Taking taylor expansion of y in y
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 1 into 1
5.966 * [taylor]: Taking taylor expansion of y in y
5.966 * [backup-simplify]: Simplify 0 into 0
5.966 * [backup-simplify]: Simplify 1 into 1
5.966 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.967 * [backup-simplify]: Simplify (* 0 0) into 0
5.967 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
5.967 * [backup-simplify]: Simplify (sqrt (pow x 2)) into x
5.967 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.967 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.968 * [backup-simplify]: Simplify (+ 0 0) into 0
5.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow x 2)))) into 0
5.968 * [taylor]: Taking taylor expansion of (* z z) in y
5.968 * [taylor]: Taking taylor expansion of z in y
5.968 * [backup-simplify]: Simplify z into z
5.968 * [taylor]: Taking taylor expansion of z in y
5.968 * [backup-simplify]: Simplify z into z
5.968 * [backup-simplify]: Simplify (* x x) into (pow x 2)
5.968 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.968 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
5.969 * [backup-simplify]: Simplify (sqrt (+ (pow x 2) (pow z 2))) into (sqrt (+ (pow x 2) (pow z 2)))
5.969 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
5.969 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.969 * [backup-simplify]: Simplify (+ 0 0) into 0
5.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow x 2) (pow z 2))))) into 0
5.970 * [backup-simplify]: Simplify (sqrt (sqrt (+ (pow x 2) (pow z 2)))) into (pow (+ (pow x 2) (pow z 2)) 1/4)
5.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow x 2) (pow z 2)))))) into 0
5.970 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot x y) z)) in x
5.970 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
5.970 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.970 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
5.970 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
5.970 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.970 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.970 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.970 * [taylor]: Taking taylor expansion of (* x x) in x
5.970 * [taylor]: Taking taylor expansion of x in x
5.970 * [backup-simplify]: Simplify 0 into 0
5.970 * [backup-simplify]: Simplify 1 into 1
5.970 * [taylor]: Taking taylor expansion of x in x
5.970 * [backup-simplify]: Simplify 0 into 0
5.970 * [backup-simplify]: Simplify 1 into 1
5.970 * [taylor]: Taking taylor expansion of (* y y) in x
5.971 * [taylor]: Taking taylor expansion of y in x
5.971 * [backup-simplify]: Simplify y into y
5.971 * [taylor]: Taking taylor expansion of y in x
5.971 * [backup-simplify]: Simplify y into y
5.971 * [backup-simplify]: Simplify (* 0 0) into 0
5.971 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.971 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.971 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.972 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.972 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.972 * [backup-simplify]: Simplify (+ 0 0) into 0
5.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.972 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.972 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.972 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.973 * [taylor]: Taking taylor expansion of (* x x) in x
5.973 * [taylor]: Taking taylor expansion of x in x
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify 1 into 1
5.973 * [taylor]: Taking taylor expansion of x in x
5.973 * [backup-simplify]: Simplify 0 into 0
5.973 * [backup-simplify]: Simplify 1 into 1
5.973 * [taylor]: Taking taylor expansion of (* y y) in x
5.973 * [taylor]: Taking taylor expansion of y in x
5.973 * [backup-simplify]: Simplify y into y
5.973 * [taylor]: Taking taylor expansion of y in x
5.973 * [backup-simplify]: Simplify y into y
5.973 * [backup-simplify]: Simplify (* 0 0) into 0
5.973 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.973 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.973 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.974 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.974 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.974 * [backup-simplify]: Simplify (+ 0 0) into 0
5.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.975 * [taylor]: Taking taylor expansion of (* z z) in x
5.975 * [taylor]: Taking taylor expansion of z in x
5.975 * [backup-simplify]: Simplify z into z
5.975 * [taylor]: Taking taylor expansion of z in x
5.975 * [backup-simplify]: Simplify z into z
5.975 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.975 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.975 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.975 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.975 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.976 * [backup-simplify]: Simplify (+ 0 0) into 0
5.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.976 * [backup-simplify]: Simplify (sqrt (sqrt (+ (pow y 2) (pow z 2)))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
5.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow y 2) (pow z 2)))))) into 0
5.977 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot x y) z)) in x
5.977 * [taylor]: Taking taylor expansion of (hypot (hypot x y) z) in x
5.977 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot x y) (hypot x y)) (* z z)))
5.977 * [taylor]: Taking taylor expansion of (+ (* (hypot x y) (hypot x y)) (* z z)) in x
5.977 * [taylor]: Taking taylor expansion of (* (hypot x y) (hypot x y)) in x
5.977 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.977 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.977 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.977 * [taylor]: Taking taylor expansion of (* x x) in x
5.977 * [taylor]: Taking taylor expansion of x in x
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.977 * [taylor]: Taking taylor expansion of x in x
5.977 * [backup-simplify]: Simplify 0 into 0
5.977 * [backup-simplify]: Simplify 1 into 1
5.977 * [taylor]: Taking taylor expansion of (* y y) in x
5.977 * [taylor]: Taking taylor expansion of y in x
5.977 * [backup-simplify]: Simplify y into y
5.977 * [taylor]: Taking taylor expansion of y in x
5.977 * [backup-simplify]: Simplify y into y
5.978 * [backup-simplify]: Simplify (* 0 0) into 0
5.978 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.978 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.978 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.978 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.978 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.979 * [backup-simplify]: Simplify (+ 0 0) into 0
5.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.979 * [taylor]: Taking taylor expansion of (hypot x y) in x
5.979 * [taylor]: Rewrote expression to (sqrt (+ (* x x) (* y y)))
5.979 * [taylor]: Taking taylor expansion of (+ (* x x) (* y y)) in x
5.979 * [taylor]: Taking taylor expansion of (* x x) in x
5.979 * [taylor]: Taking taylor expansion of x in x
5.979 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify 1 into 1
5.979 * [taylor]: Taking taylor expansion of x in x
5.979 * [backup-simplify]: Simplify 0 into 0
5.979 * [backup-simplify]: Simplify 1 into 1
5.979 * [taylor]: Taking taylor expansion of (* y y) in x
5.979 * [taylor]: Taking taylor expansion of y in x
5.979 * [backup-simplify]: Simplify y into y
5.979 * [taylor]: Taking taylor expansion of y in x
5.979 * [backup-simplify]: Simplify y into y
5.980 * [backup-simplify]: Simplify (* 0 0) into 0
5.980 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.980 * [backup-simplify]: Simplify (+ 0 (pow y 2)) into (pow y 2)
5.980 * [backup-simplify]: Simplify (sqrt (pow y 2)) into y
5.981 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
5.981 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.981 * [backup-simplify]: Simplify (+ 0 0) into 0
5.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y 2)))) into 0
5.981 * [taylor]: Taking taylor expansion of (* z z) in x
5.981 * [taylor]: Taking taylor expansion of z in x
5.981 * [backup-simplify]: Simplify z into z
5.981 * [taylor]: Taking taylor expansion of z in x
5.981 * [backup-simplify]: Simplify z into z
5.981 * [backup-simplify]: Simplify (* y y) into (pow y 2)
5.981 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.982 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
5.982 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
5.982 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
5.982 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.982 * [backup-simplify]: Simplify (+ 0 0) into 0
5.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
5.983 * [backup-simplify]: Simplify (sqrt (sqrt (+ (pow y 2) (pow z 2)))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
5.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (sqrt (+ (pow y 2) (pow z 2)))))) into 0
5.983 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 1/4) in y
5.983 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) in y
5.983 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (pow z 2)))) in y
5.983 * [taylor]: Taking taylor expansion of 1/4 in y
5.983 * [backup-simplify]: Simplify 1/4 into 1/4
5.983 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow z 2))) in y
5.983 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
5.983 * [taylor]: Taking taylor expansion of (pow y 2) in y
5.984 * [taylor]: Taking taylor expansion of y in y
5.984 * [backup-simplify]: Simplify 0 into 0
5.984 * [backup-simplify]: Simplify 1 into 1
5.984 * [taylor]: Taking taylor expansion of (pow z 2) in y
5.984 * [taylor]: Taking taylor expansion of z in y
5.984 * [backup-simplify]: Simplify z into z
5.984 * [backup-simplify]: Simplify (* z z) into (pow z 2)
5.984 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
5.984 * [backup-simplify]: Simplify (log (pow z 2)) into (log (pow z 2))
5.984 * [backup-simplify]: Simplify (* 1/4 (log (pow z 2))) into (* 1/4 (log (pow z 2)))
5.984 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow z 2)))) into (pow (pow z 2) 1/4)
5.984 * [taylor]: Taking taylor expansion of (pow (pow z 2) 1/4) in z
5.984 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (pow z 2)))) in z
5.984 * [taylor]: Taking taylor expansion of (* 1/4 (log (pow z 2))) in z
5.984 * [taylor]: Taking taylor expansion of 1/4 in z
5.984 * [backup-simplify]: Simplify 1/4 into 1/4
5.984 * [taylor]: Taking taylor expansion of (log (pow z 2)) in z
5.984 * [taylor]: Taking taylor expansion of (pow z 2) in z
5.984 * [taylor]: Taking taylor expansion of z in z
5.985 * [backup-simplify]: Simplify 0 into 0
5.985 * [backup-simplify]: Simplify 1 into 1
5.985 * [backup-simplify]: Simplify (* 1 1) into 1
5.985 * [backup-simplify]: Simplify (log 1) into 0
5.986 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z))
5.986 * [backup-simplify]: Simplify (* 1/4 (* 2 (log z))) into (* 1/2 (log z))
5.986 * [backup-simplify]: Simplify (exp (* 1/2 (log z))) into (pow z 1/2)
5.986 * [backup-simplify]: Simplify (pow z 1/2) into (pow z 1/2)
5.986 * [taylor]: Taking taylor expansion of 0 in y
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [taylor]: Taking taylor expansion of 0 in z
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify 0 into 0
5.986 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
5.987 * [backup-simplify]: Simplify (+ 0 0) into 0
5.987 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow z 2) 1)))) 1) into 0
5.988 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow z 2)))) into 0
5.989 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow z 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
5.989 * [taylor]: Taking taylor expansion of 0 in z
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify 0 into 0
5.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
5.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
5.991 * [backup-simplify]: Simplify (+ (* (- -2) (log z)) 0) into (* 2 (log z))
5.991 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (* 2 (log z)))) into 0
5.992 * [backup-simplify]: Simplify (* (exp (* 1/2 (log z))) (+ (* (/ (pow 0 1) 1)))) into 0
5.992 * [backup-simplify]: Simplify 0 into 0
5.993 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.993 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.993 * [backup-simplify]: Simplify (+ 1 0) into 1
5.994 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
5.995 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
5.995 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
5.995 * [backup-simplify]: Simplify (+ 1 0) into 1
6.002 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y)) into (/ 1/2 y)
6.003 * [backup-simplify]: Simplify (+ (* y (/ 1/2 y)) (+ (* 0 0) (* (/ 1/2 y) y))) into 1
6.004 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
6.004 * [backup-simplify]: Simplify (+ 1 0) into 1
6.005 * [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)))))
6.007 * [backup-simplify]: Simplify (/ (- (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (pow 0 2) (+)) (* 2 (pow (+ (pow y 2) (pow z 2)) 1/4))) into (* 1/4 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4))
6.007 * [taylor]: Taking taylor expansion of (* 1/4 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4)) in y
6.007 * [taylor]: Taking taylor expansion of 1/4 in y
6.007 * [backup-simplify]: Simplify 1/4 into 1/4
6.007 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) in y
6.007 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) in y
6.007 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) in y
6.007 * [taylor]: Taking taylor expansion of 1/4 in y
6.007 * [backup-simplify]: Simplify 1/4 into 1/4
6.007 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))) in y
6.007 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) in y
6.007 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 3) in y
6.007 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
6.007 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.007 * [taylor]: Taking taylor expansion of y in y
6.007 * [backup-simplify]: Simplify 0 into 0
6.007 * [backup-simplify]: Simplify 1 into 1
6.007 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.007 * [taylor]: Taking taylor expansion of z in y
6.007 * [backup-simplify]: Simplify z into z
6.007 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.008 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
6.008 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
6.008 * [backup-simplify]: Simplify (* (pow z 2) (pow z 4)) into (pow z 6)
6.008 * [backup-simplify]: Simplify (/ 1 (pow z 6)) into (/ 1 (pow z 6))
6.008 * [backup-simplify]: Simplify (log (/ 1 (pow z 6))) into (log (/ 1 (pow z 6)))
6.008 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow z 6)))) into (* 1/4 (log (/ 1 (pow z 6))))
6.009 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow z 6))))) into (pow (/ 1 (pow z 6)) 1/4)
6.009 * [backup-simplify]: Simplify (* 1/4 (pow (/ 1 (pow z 6)) 1/4)) into (* 1/4 (sqrt (/ 1 (pow z 3))))
6.009 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow z 3)))) in z
6.009 * [taylor]: Taking taylor expansion of 1/4 in z
6.009 * [backup-simplify]: Simplify 1/4 into 1/4
6.009 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z
6.009 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z
6.009 * [taylor]: Taking taylor expansion of (pow z 3) in z
6.009 * [taylor]: Taking taylor expansion of z in z
6.009 * [backup-simplify]: Simplify 0 into 0
6.009 * [backup-simplify]: Simplify 1 into 1
6.009 * [backup-simplify]: Simplify (* 1 1) into 1
6.010 * [backup-simplify]: Simplify (* 1 1) into 1
6.010 * [backup-simplify]: Simplify (/ 1 1) into 1
6.011 * [backup-simplify]: Simplify (sqrt 0) into 0
6.012 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.016 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.018 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
6.018 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.018 * [taylor]: Taking taylor expansion of 0 in z
6.018 * [backup-simplify]: Simplify 0 into 0
6.018 * [backup-simplify]: Simplify 0 into 0
6.019 * [backup-simplify]: Simplify (* 1 1) into 1
6.019 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
6.020 * [backup-simplify]: Simplify (+ 1 0) into 1
6.021 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow z 2) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (pow z 2) 1)))) 2) into (/ 1 (pow z 2))
6.022 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 (log (pow z 2))))) into (* 1/4 (/ 1 (pow z 2)))
6.023 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow z 2)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (pow z 2))) 1) 1)))) into (* 1/4 (sqrt (/ 1 (pow z 3))))
6.023 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow z 3)))) in z
6.023 * [taylor]: Taking taylor expansion of 1/4 in z
6.023 * [backup-simplify]: Simplify 1/4 into 1/4
6.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z
6.023 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z
6.023 * [taylor]: Taking taylor expansion of (pow z 3) in z
6.023 * [taylor]: Taking taylor expansion of z in z
6.023 * [backup-simplify]: Simplify 0 into 0
6.023 * [backup-simplify]: Simplify 1 into 1
6.023 * [backup-simplify]: Simplify (* 1 1) into 1
6.024 * [backup-simplify]: Simplify (* 1 1) into 1
6.024 * [backup-simplify]: Simplify (/ 1 1) into 1
6.024 * [backup-simplify]: Simplify (sqrt 0) into 0
6.025 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.027 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.029 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.031 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0)
6.031 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.032 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (* y 1)) 2)) (+ (* (- +nan.0) (pow (* 1 (* 1 x)) 2)) (pow z 1/2))) into (- (pow z 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow y 2)))))
6.033 * [backup-simplify]: Simplify (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))) into (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)))
6.033 * [approximate]: Taking taylor expansion of (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))) in (x y z) around 0
6.033 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))) in z
6.033 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in z
6.033 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
6.033 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in z
6.033 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in z
6.033 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
6.033 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
6.033 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
6.033 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
6.033 * [taylor]: Taking taylor expansion of (/ 1 x) in z
6.033 * [taylor]: Taking taylor expansion of x in z
6.033 * [backup-simplify]: Simplify x into x
6.033 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.033 * [taylor]: Taking taylor expansion of (/ 1 x) in z
6.033 * [taylor]: Taking taylor expansion of x in z
6.033 * [backup-simplify]: Simplify x into x
6.033 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.033 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
6.033 * [taylor]: Taking taylor expansion of (/ 1 y) in z
6.033 * [taylor]: Taking taylor expansion of y in z
6.033 * [backup-simplify]: Simplify y into y
6.033 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.033 * [taylor]: Taking taylor expansion of (/ 1 y) in z
6.033 * [taylor]: Taking taylor expansion of y in z
6.033 * [backup-simplify]: Simplify y into y
6.034 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.034 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
6.034 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
6.034 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
6.034 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
6.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
6.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
6.035 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
6.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.035 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
6.035 * [backup-simplify]: Simplify (+ 0 0) into 0
6.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
6.036 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in z
6.036 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
6.036 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in z
6.036 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in z
6.036 * [taylor]: Taking taylor expansion of (/ 1 x) in z
6.036 * [taylor]: Taking taylor expansion of x in z
6.036 * [backup-simplify]: Simplify x into x
6.036 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.036 * [taylor]: Taking taylor expansion of (/ 1 x) in z
6.036 * [taylor]: Taking taylor expansion of x in z
6.036 * [backup-simplify]: Simplify x into x
6.036 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.036 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in z
6.036 * [taylor]: Taking taylor expansion of (/ 1 y) in z
6.036 * [taylor]: Taking taylor expansion of y in z
6.036 * [backup-simplify]: Simplify y into y
6.036 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.036 * [taylor]: Taking taylor expansion of (/ 1 y) in z
6.036 * [taylor]: Taking taylor expansion of y in z
6.036 * [backup-simplify]: Simplify y into y
6.036 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.036 * [backup-simplify]: Simplify (* (/ 1 x) (/ 1 x)) into (/ 1 (pow x 2))
6.037 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
6.037 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
6.037 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
6.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
6.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
6.037 * [backup-simplify]: Simplify (+ (* (/ 1 x) 0) (* 0 (/ 1 x))) into 0
6.037 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.038 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
6.038 * [backup-simplify]: Simplify (+ 0 0) into 0
6.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
6.038 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in z
6.038 * [taylor]: Taking taylor expansion of (/ 1 z) in z
6.038 * [taylor]: Taking taylor expansion of z in z
6.039 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify 1 into 1
6.039 * [backup-simplify]: Simplify (/ 1 1) into 1
6.039 * [taylor]: Taking taylor expansion of (/ 1 z) in z
6.039 * [taylor]: Taking taylor expansion of z in z
6.039 * [backup-simplify]: Simplify 0 into 0
6.039 * [backup-simplify]: Simplify 1 into 1
6.039 * [backup-simplify]: Simplify (/ 1 1) into 1
6.040 * [backup-simplify]: Simplify (* 1 1) into 1
6.040 * [backup-simplify]: Simplify (+ 0 1) into 1
6.040 * [backup-simplify]: Simplify (sqrt 1) into 1
6.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.042 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.042 * [backup-simplify]: Simplify (+ 0 0) into 0
6.043 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.043 * [backup-simplify]: Simplify (sqrt 0) into 0
6.044 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.044 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))) in y
6.044 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in y
6.044 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
6.044 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in y
6.044 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in y
6.044 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
6.045 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
6.045 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
6.045 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
6.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.045 * [taylor]: Taking taylor expansion of x in y
6.045 * [backup-simplify]: Simplify x into x
6.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.045 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.045 * [taylor]: Taking taylor expansion of x in y
6.045 * [backup-simplify]: Simplify x into x
6.045 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.045 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
6.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.045 * [taylor]: Taking taylor expansion of y in y
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [backup-simplify]: Simplify 1 into 1
6.045 * [backup-simplify]: Simplify (/ 1 1) into 1
6.045 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.045 * [taylor]: Taking taylor expansion of y in y
6.045 * [backup-simplify]: Simplify 0 into 0
6.045 * [backup-simplify]: Simplify 1 into 1
6.046 * [backup-simplify]: Simplify (/ 1 1) into 1
6.046 * [backup-simplify]: Simplify (* 1 1) into 1
6.046 * [backup-simplify]: Simplify (+ 0 1) into 1
6.047 * [backup-simplify]: Simplify (sqrt 1) into 1
6.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.049 * [backup-simplify]: Simplify (+ 0 0) into 0
6.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.049 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in y
6.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
6.049 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in y
6.049 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in y
6.049 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.049 * [taylor]: Taking taylor expansion of x in y
6.050 * [backup-simplify]: Simplify x into x
6.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.050 * [taylor]: Taking taylor expansion of (/ 1 x) in y
6.050 * [taylor]: Taking taylor expansion of x in y
6.050 * [backup-simplify]: Simplify x into x
6.050 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
6.050 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in y
6.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.050 * [taylor]: Taking taylor expansion of y in y
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 1 into 1
6.050 * [backup-simplify]: Simplify (/ 1 1) into 1
6.050 * [taylor]: Taking taylor expansion of (/ 1 y) in y
6.050 * [taylor]: Taking taylor expansion of y in y
6.050 * [backup-simplify]: Simplify 0 into 0
6.050 * [backup-simplify]: Simplify 1 into 1
6.051 * [backup-simplify]: Simplify (/ 1 1) into 1
6.051 * [backup-simplify]: Simplify (* 1 1) into 1
6.051 * [backup-simplify]: Simplify (+ 0 1) into 1
6.052 * [backup-simplify]: Simplify (sqrt 1) into 1
6.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.054 * [backup-simplify]: Simplify (+ 0 0) into 0
6.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.054 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in y
6.054 * [taylor]: Taking taylor expansion of (/ 1 z) in y
6.054 * [taylor]: Taking taylor expansion of z in y
6.054 * [backup-simplify]: Simplify z into z
6.054 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
6.054 * [taylor]: Taking taylor expansion of (/ 1 z) in y
6.054 * [taylor]: Taking taylor expansion of z in y
6.054 * [backup-simplify]: Simplify z into z
6.054 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
6.055 * [backup-simplify]: Simplify (* 1 1) into 1
6.055 * [backup-simplify]: Simplify (+ 1 0) into 1
6.055 * [backup-simplify]: Simplify (sqrt 1) into 1
6.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.056 * [backup-simplify]: Simplify (+ 0 0) into 0
6.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.057 * [backup-simplify]: Simplify (sqrt 0) into 0
6.058 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.058 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))) in x
6.058 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
6.059 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
6.059 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
6.059 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
6.059 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
6.059 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
6.059 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
6.059 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
6.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.059 * [taylor]: Taking taylor expansion of x in x
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 1 into 1
6.059 * [backup-simplify]: Simplify (/ 1 1) into 1
6.059 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.059 * [taylor]: Taking taylor expansion of x in x
6.059 * [backup-simplify]: Simplify 0 into 0
6.059 * [backup-simplify]: Simplify 1 into 1
6.060 * [backup-simplify]: Simplify (/ 1 1) into 1
6.060 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
6.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.060 * [taylor]: Taking taylor expansion of y in x
6.060 * [backup-simplify]: Simplify y into y
6.060 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.060 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.060 * [taylor]: Taking taylor expansion of y in x
6.060 * [backup-simplify]: Simplify y into y
6.060 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.060 * [backup-simplify]: Simplify (* 1 1) into 1
6.061 * [backup-simplify]: Simplify (+ 1 0) into 1
6.061 * [backup-simplify]: Simplify (sqrt 1) into 1
6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.063 * [backup-simplify]: Simplify (+ 0 0) into 0
6.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.064 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
6.064 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
6.064 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
6.064 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
6.064 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.064 * [taylor]: Taking taylor expansion of x in x
6.064 * [backup-simplify]: Simplify 0 into 0
6.064 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (/ 1 1) into 1
6.065 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.065 * [taylor]: Taking taylor expansion of x in x
6.065 * [backup-simplify]: Simplify 0 into 0
6.065 * [backup-simplify]: Simplify 1 into 1
6.065 * [backup-simplify]: Simplify (/ 1 1) into 1
6.065 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
6.065 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.065 * [taylor]: Taking taylor expansion of y in x
6.065 * [backup-simplify]: Simplify y into y
6.065 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.066 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.066 * [taylor]: Taking taylor expansion of y in x
6.066 * [backup-simplify]: Simplify y into y
6.066 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.066 * [backup-simplify]: Simplify (* 1 1) into 1
6.066 * [backup-simplify]: Simplify (+ 1 0) into 1
6.067 * [backup-simplify]: Simplify (sqrt 1) into 1
6.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.069 * [backup-simplify]: Simplify (+ 0 0) into 0
6.069 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.069 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
6.069 * [taylor]: Taking taylor expansion of (/ 1 z) in x
6.069 * [taylor]: Taking taylor expansion of z in x
6.069 * [backup-simplify]: Simplify z into z
6.070 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
6.070 * [taylor]: Taking taylor expansion of (/ 1 z) in x
6.070 * [taylor]: Taking taylor expansion of z in x
6.070 * [backup-simplify]: Simplify z into z
6.070 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
6.070 * [backup-simplify]: Simplify (* 1 1) into 1
6.070 * [backup-simplify]: Simplify (+ 1 0) into 1
6.071 * [backup-simplify]: Simplify (sqrt 1) into 1
6.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.071 * [backup-simplify]: Simplify (+ 0 0) into 0
6.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.072 * [backup-simplify]: Simplify (sqrt 0) into 0
6.074 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.074 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z))) in x
6.074 * [taylor]: Taking taylor expansion of (hypot (hypot (/ 1 x) (/ 1 y)) (/ 1 z)) in x
6.074 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))))
6.074 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) (* (/ 1 z) (/ 1 z))) in x
6.074 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 x) (/ 1 y)) (hypot (/ 1 x) (/ 1 y))) in x
6.074 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
6.074 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
6.074 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
6.074 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
6.074 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.074 * [taylor]: Taking taylor expansion of x in x
6.074 * [backup-simplify]: Simplify 0 into 0
6.074 * [backup-simplify]: Simplify 1 into 1
6.075 * [backup-simplify]: Simplify (/ 1 1) into 1
6.075 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.075 * [taylor]: Taking taylor expansion of x in x
6.075 * [backup-simplify]: Simplify 0 into 0
6.075 * [backup-simplify]: Simplify 1 into 1
6.075 * [backup-simplify]: Simplify (/ 1 1) into 1
6.075 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
6.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.075 * [taylor]: Taking taylor expansion of y in x
6.075 * [backup-simplify]: Simplify y into y
6.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.075 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.075 * [taylor]: Taking taylor expansion of y in x
6.075 * [backup-simplify]: Simplify y into y
6.075 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.076 * [backup-simplify]: Simplify (* 1 1) into 1
6.076 * [backup-simplify]: Simplify (+ 1 0) into 1
6.076 * [backup-simplify]: Simplify (sqrt 1) into 1
6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.078 * [backup-simplify]: Simplify (+ 0 0) into 0
6.079 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.079 * [taylor]: Taking taylor expansion of (hypot (/ 1 x) (/ 1 y)) in x
6.079 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))
6.079 * [taylor]: Taking taylor expansion of (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) in x
6.079 * [taylor]: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x
6.079 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.079 * [taylor]: Taking taylor expansion of x in x
6.079 * [backup-simplify]: Simplify 0 into 0
6.079 * [backup-simplify]: Simplify 1 into 1
6.080 * [backup-simplify]: Simplify (/ 1 1) into 1
6.080 * [taylor]: Taking taylor expansion of (/ 1 x) in x
6.080 * [taylor]: Taking taylor expansion of x in x
6.080 * [backup-simplify]: Simplify 0 into 0
6.080 * [backup-simplify]: Simplify 1 into 1
6.080 * [backup-simplify]: Simplify (/ 1 1) into 1
6.080 * [taylor]: Taking taylor expansion of (* (/ 1 y) (/ 1 y)) in x
6.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.080 * [taylor]: Taking taylor expansion of y in x
6.080 * [backup-simplify]: Simplify y into y
6.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.080 * [taylor]: Taking taylor expansion of (/ 1 y) in x
6.080 * [taylor]: Taking taylor expansion of y in x
6.080 * [backup-simplify]: Simplify y into y
6.080 * [backup-simplify]: Simplify (/ 1 y) into (/ 1 y)
6.081 * [backup-simplify]: Simplify (* 1 1) into 1
6.081 * [backup-simplify]: Simplify (+ 1 0) into 1
6.081 * [backup-simplify]: Simplify (sqrt 1) into 1
6.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.084 * [backup-simplify]: Simplify (+ 0 0) into 0
6.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.084 * [taylor]: Taking taylor expansion of (* (/ 1 z) (/ 1 z)) in x
6.084 * [taylor]: Taking taylor expansion of (/ 1 z) in x
6.084 * [taylor]: Taking taylor expansion of z in x
6.084 * [backup-simplify]: Simplify z into z
6.085 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
6.085 * [taylor]: Taking taylor expansion of (/ 1 z) in x
6.085 * [taylor]: Taking taylor expansion of z in x
6.085 * [backup-simplify]: Simplify z into z
6.085 * [backup-simplify]: Simplify (/ 1 z) into (/ 1 z)
6.085 * [backup-simplify]: Simplify (* 1 1) into 1
6.085 * [backup-simplify]: Simplify (+ 1 0) into 1
6.086 * [backup-simplify]: Simplify (sqrt 1) into 1
6.086 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.087 * [backup-simplify]: Simplify (+ 0 0) into 0
6.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.088 * [backup-simplify]: Simplify (sqrt 0) into 0
6.089 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.089 * [taylor]: Taking taylor expansion of 0 in y
6.089 * [backup-simplify]: Simplify 0 into 0
6.089 * [taylor]: Taking taylor expansion of +nan.0 in y
6.089 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.089 * [taylor]: Taking taylor expansion of 0 in z
6.089 * [backup-simplify]: Simplify 0 into 0
6.092 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.092 * [taylor]: Taking taylor expansion of +nan.0 in y
6.092 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.092 * [taylor]: Taking taylor expansion of +nan.0 in z
6.092 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.092 * [taylor]: Taking taylor expansion of 0 in z
6.092 * [backup-simplify]: Simplify 0 into 0
6.092 * [backup-simplify]: Simplify 0 into 0
6.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.095 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
6.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.099 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.099 * [backup-simplify]: Simplify (* (/ 1 y) (/ 1 y)) into (/ 1 (pow y 2))
6.099 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.100 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.101 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
6.101 * [backup-simplify]: Simplify (* (/ 1 z) (/ 1 z)) into (/ 1 (pow z 2))
6.102 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
6.103 * [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))))
6.105 * [backup-simplify]: Simplify (/ (- (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0))
6.105 * [taylor]: Taking taylor expansion of (* +nan.0 (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0)) in y
6.105 * [taylor]: Taking taylor expansion of +nan.0 in y
6.105 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.105 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0) in y
6.105 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) in y
6.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in y
6.105 * [taylor]: Taking taylor expansion of 1/2 in y
6.105 * [backup-simplify]: Simplify 1/2 into 1/2
6.105 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.105 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.105 * [taylor]: Taking taylor expansion of z in y
6.105 * [backup-simplify]: Simplify z into z
6.105 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.105 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
6.105 * [taylor]: Taking taylor expansion of 1/2 in y
6.105 * [backup-simplify]: Simplify 1/2 into 1/2
6.105 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.105 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.105 * [taylor]: Taking taylor expansion of y in y
6.105 * [backup-simplify]: Simplify 0 into 0
6.106 * [backup-simplify]: Simplify 1 into 1
6.106 * [backup-simplify]: Simplify (* 1 1) into 1
6.106 * [backup-simplify]: Simplify (/ 1 1) into 1
6.106 * [taylor]: Taking taylor expansion of +nan.0 in y
6.106 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.107 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.108 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.108 * [backup-simplify]: Simplify (+ 0 0) into 0
6.109 * [backup-simplify]: Simplify (+ 0 0) into 0
6.109 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.109 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
6.110 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.110 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.110 * [taylor]: Taking taylor expansion of 0 in z
6.110 * [backup-simplify]: Simplify 0 into 0
6.110 * [taylor]: Taking taylor expansion of +nan.0 in z
6.110 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.110 * [taylor]: Taking taylor expansion of 0 in z
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [taylor]: Taking taylor expansion of 0 in z
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify 0 into 0
6.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.113 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.113 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
6.114 * [backup-simplify]: Simplify (+ 0 0) into 0
6.114 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.117 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)))) into 0
6.117 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (* 0 (/ 1 y))) into 0
6.118 * [backup-simplify]: Simplify (+ 0 0) into 0
6.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
6.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
6.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)))) into 0
6.120 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (* 0 (/ 1 z))) into 0
6.120 * [backup-simplify]: Simplify (+ 0 0) into 0
6.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
6.122 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))))
6.122 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y
6.123 * [taylor]: Taking taylor expansion of +nan.0 in y
6.123 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.123 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y
6.123 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in y
6.123 * [taylor]: Taking taylor expansion of +nan.0 in y
6.123 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.123 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.123 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.123 * [taylor]: Taking taylor expansion of z in y
6.123 * [backup-simplify]: Simplify z into z
6.123 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.123 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.123 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y
6.123 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y
6.123 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y
6.123 * [taylor]: Taking taylor expansion of +nan.0 in y
6.123 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.123 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.123 * [taylor]: Taking taylor expansion of y in y
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 1 into 1
6.124 * [backup-simplify]: Simplify (* 1 1) into 1
6.124 * [backup-simplify]: Simplify (/ 1 1) into 1
6.124 * [taylor]: Taking taylor expansion of (- +nan.0) in y
6.124 * [taylor]: Taking taylor expansion of +nan.0 in y
6.124 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.127 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.128 * [backup-simplify]: Simplify (+ 0 0) into 0
6.128 * [backup-simplify]: Simplify (- 0) into 0
6.129 * [backup-simplify]: Simplify (+ 0 0) into 0
6.129 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.130 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.131 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.131 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.132 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.132 * [taylor]: Taking taylor expansion of 0 in z
6.132 * [backup-simplify]: Simplify 0 into 0
6.132 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
6.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.135 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.135 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
6.143 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.144 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (- +nan.0)) into (- (* 1/2 (/ 1 (pow z 2))) +nan.0)
6.145 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* 1/2 (/ 1 (pow z 2))) +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))
6.145 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))) in z
6.145 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)) in z
6.145 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in z
6.145 * [taylor]: Taking taylor expansion of +nan.0 in z
6.145 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.145 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.145 * [taylor]: Taking taylor expansion of z in z
6.145 * [backup-simplify]: Simplify 0 into 0
6.145 * [backup-simplify]: Simplify 1 into 1
6.145 * [backup-simplify]: Simplify (* 1 1) into 1
6.145 * [backup-simplify]: Simplify (/ 1 1) into 1
6.145 * [taylor]: Taking taylor expansion of (- +nan.0) in z
6.145 * [taylor]: Taking taylor expansion of +nan.0 in z
6.145 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.147 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.147 * [backup-simplify]: Simplify (+ 0 0) into 0
6.148 * [backup-simplify]: Simplify (- 0) into 0
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [taylor]: Taking taylor expansion of 0 in z
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [taylor]: Taking taylor expansion of 0 in z
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [taylor]: Taking taylor expansion of 0 in z
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 0 into 0
6.148 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.151 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
6.152 * [backup-simplify]: Simplify (+ 0 0) into 0
6.153 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
6.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.156 * [backup-simplify]: Simplify (+ (* (/ 1 y) 0) (+ (* 0 0) (* 0 (/ 1 y)))) into 0
6.156 * [backup-simplify]: Simplify (+ 0 0) into 0
6.157 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
6.159 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
6.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
6.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
6.159 * [backup-simplify]: Simplify (+ (* (/ 1 z) 0) (+ (* 0 0) (* 0 (/ 1 z)))) into 0
6.160 * [backup-simplify]: Simplify (+ 0 0) into 0
6.161 * [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))))))
6.164 * [backup-simplify]: Simplify (/ (- (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))))) (* 2 (* +nan.0 (* +nan.0 (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow z 4))) (- (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))))))
6.164 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow z 4))) (- (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))))) in y
6.164 * [taylor]: Taking taylor expansion of +nan.0 in y
6.164 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.164 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow z 4))) (- (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))))) in y
6.164 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow z 4))) in y
6.164 * [taylor]: Taking taylor expansion of 1/8 in y
6.164 * [backup-simplify]: Simplify 1/8 into 1/8
6.164 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
6.164 * [taylor]: Taking taylor expansion of (pow z 4) in y
6.164 * [taylor]: Taking taylor expansion of z in y
6.164 * [backup-simplify]: Simplify z into z
6.164 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.165 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
6.165 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
6.165 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y
6.165 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) in y
6.165 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) in y
6.165 * [taylor]: Taking taylor expansion of 1/4 in y
6.165 * [backup-simplify]: Simplify 1/4 into 1/4
6.165 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
6.165 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
6.165 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.165 * [taylor]: Taking taylor expansion of z in y
6.165 * [backup-simplify]: Simplify z into z
6.165 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.165 * [taylor]: Taking taylor expansion of y in y
6.165 * [backup-simplify]: Simplify 0 into 0
6.165 * [backup-simplify]: Simplify 1 into 1
6.165 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.166 * [backup-simplify]: Simplify (* 1 1) into 1
6.166 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
6.166 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.166 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y
6.166 * [taylor]: Taking taylor expansion of 1/8 in y
6.166 * [backup-simplify]: Simplify 1/8 into 1/8
6.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
6.166 * [taylor]: Taking taylor expansion of (pow y 4) in y
6.166 * [taylor]: Taking taylor expansion of y in y
6.166 * [backup-simplify]: Simplify 0 into 0
6.166 * [backup-simplify]: Simplify 1 into 1
6.166 * [backup-simplify]: Simplify (* 1 1) into 1
6.167 * [backup-simplify]: Simplify (* 1 1) into 1
6.167 * [backup-simplify]: Simplify (/ 1 1) into 1
6.167 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y
6.167 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in y
6.167 * [taylor]: Taking taylor expansion of +nan.0 in y
6.167 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.167 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.167 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.167 * [taylor]: Taking taylor expansion of z in y
6.167 * [backup-simplify]: Simplify z into z
6.167 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.167 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.167 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y
6.167 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y
6.167 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y
6.168 * [taylor]: Taking taylor expansion of +nan.0 in y
6.168 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.168 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.168 * [taylor]: Taking taylor expansion of y in y
6.168 * [backup-simplify]: Simplify 0 into 0
6.168 * [backup-simplify]: Simplify 1 into 1
6.168 * [backup-simplify]: Simplify (* 1 1) into 1
6.168 * [backup-simplify]: Simplify (/ 1 1) into 1
6.168 * [taylor]: Taking taylor expansion of (- +nan.0) in y
6.168 * [taylor]: Taking taylor expansion of +nan.0 in y
6.168 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.169 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
6.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.170 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow z 2)))) into 0
6.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.175 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.177 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.177 * [backup-simplify]: Simplify (+ 0 0) into 0
6.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.179 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.179 * [backup-simplify]: Simplify (+ 0 0) into 0
6.179 * [backup-simplify]: Simplify (- 0) into 0
6.180 * [backup-simplify]: Simplify (+ 0 0) into 0
6.180 * [backup-simplify]: Simplify (- 0) into 0
6.180 * [backup-simplify]: Simplify (+ 0 0) into 0
6.181 * [backup-simplify]: Simplify (+ 0 0) into 0
6.181 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow z 2))) into (/ 1/4 (pow z 2))
6.182 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
6.182 * [backup-simplify]: Simplify (+ (/ 1/4 (pow z 2)) 0) into (* 1/4 (/ 1 (pow z 2)))
6.182 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.182 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.183 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.184 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.184 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.185 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow z 2))) (- +nan.0)) into (- (* 1/4 (/ 1 (pow z 2))) +nan.0)
6.185 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (pow z 2))) +nan.0)) into (- (* 1/4 (/ 1 (pow z 2))) +nan.0)
6.186 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.186 * [backup-simplify]: Simplify (+ 0 0) into 0
6.187 * [backup-simplify]: Simplify (+ 0 0) into 0
6.187 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
6.187 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
6.188 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
6.188 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
6.189 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 (- (* 1/4 (/ 1 (pow z 2))) +nan.0)) (+ (* 0 0) (* 0 1/8)))) into 0
6.189 * [taylor]: Taking taylor expansion of 0 in z
6.189 * [backup-simplify]: Simplify 0 into 0
6.189 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (pow z 2))) into (/ +nan.0 (pow z 2))
6.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.191 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
6.192 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.192 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.193 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.193 * [backup-simplify]: Simplify (+ (/ +nan.0 (pow z 2)) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))
6.195 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))
6.195 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))) in z
6.195 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)) in z
6.195 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in z
6.195 * [taylor]: Taking taylor expansion of +nan.0 in z
6.195 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.195 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.195 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.195 * [taylor]: Taking taylor expansion of z in z
6.195 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify 1 into 1
6.195 * [backup-simplify]: Simplify (* 1 1) into 1
6.195 * [backup-simplify]: Simplify (/ 1 1) into 1
6.195 * [taylor]: Taking taylor expansion of (- +nan.0) in z
6.196 * [taylor]: Taking taylor expansion of +nan.0 in z
6.196 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.197 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.197 * [backup-simplify]: Simplify (+ 0 0) into 0
6.198 * [backup-simplify]: Simplify (- 0) into 0
6.198 * [backup-simplify]: Simplify 0 into 0
6.198 * [backup-simplify]: Simplify (+ (* +nan.0 (* 1 (* 1 (/ 1 x)))) +nan.0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))
6.198 * [backup-simplify]: Simplify (sqrt (hypot (hypot (/ 1 (- x)) (/ 1 (- y))) (/ 1 (- z)))) into (sqrt (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)))
6.198 * [approximate]: Taking taylor expansion of (sqrt (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in (x y z) around 0
6.198 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in z
6.198 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in z
6.199 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
6.199 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in z
6.199 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in z
6.199 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
6.199 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
6.199 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
6.199 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
6.199 * [taylor]: Taking taylor expansion of (/ -1 x) in z
6.199 * [taylor]: Taking taylor expansion of -1 in z
6.199 * [backup-simplify]: Simplify -1 into -1
6.199 * [taylor]: Taking taylor expansion of x in z
6.199 * [backup-simplify]: Simplify x into x
6.199 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.199 * [taylor]: Taking taylor expansion of (/ -1 x) in z
6.199 * [taylor]: Taking taylor expansion of -1 in z
6.199 * [backup-simplify]: Simplify -1 into -1
6.199 * [taylor]: Taking taylor expansion of x in z
6.199 * [backup-simplify]: Simplify x into x
6.199 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.199 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
6.199 * [taylor]: Taking taylor expansion of (/ -1 y) in z
6.199 * [taylor]: Taking taylor expansion of -1 in z
6.199 * [backup-simplify]: Simplify -1 into -1
6.199 * [taylor]: Taking taylor expansion of y in z
6.199 * [backup-simplify]: Simplify y into y
6.199 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.199 * [taylor]: Taking taylor expansion of (/ -1 y) in z
6.199 * [taylor]: Taking taylor expansion of -1 in z
6.199 * [backup-simplify]: Simplify -1 into -1
6.199 * [taylor]: Taking taylor expansion of y in z
6.199 * [backup-simplify]: Simplify y into y
6.199 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.200 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
6.200 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
6.200 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
6.200 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
6.200 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
6.200 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
6.201 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
6.201 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.201 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.201 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
6.201 * [backup-simplify]: Simplify (+ 0 0) into 0
6.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
6.202 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in z
6.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
6.202 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in z
6.202 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in z
6.202 * [taylor]: Taking taylor expansion of (/ -1 x) in z
6.202 * [taylor]: Taking taylor expansion of -1 in z
6.202 * [backup-simplify]: Simplify -1 into -1
6.202 * [taylor]: Taking taylor expansion of x in z
6.202 * [backup-simplify]: Simplify x into x
6.202 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.202 * [taylor]: Taking taylor expansion of (/ -1 x) in z
6.202 * [taylor]: Taking taylor expansion of -1 in z
6.202 * [backup-simplify]: Simplify -1 into -1
6.202 * [taylor]: Taking taylor expansion of x in z
6.202 * [backup-simplify]: Simplify x into x
6.202 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.202 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in z
6.202 * [taylor]: Taking taylor expansion of (/ -1 y) in z
6.202 * [taylor]: Taking taylor expansion of -1 in z
6.202 * [backup-simplify]: Simplify -1 into -1
6.202 * [taylor]: Taking taylor expansion of y in z
6.202 * [backup-simplify]: Simplify y into y
6.202 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.202 * [taylor]: Taking taylor expansion of (/ -1 y) in z
6.202 * [taylor]: Taking taylor expansion of -1 in z
6.202 * [backup-simplify]: Simplify -1 into -1
6.202 * [taylor]: Taking taylor expansion of y in z
6.203 * [backup-simplify]: Simplify y into y
6.203 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.203 * [backup-simplify]: Simplify (* (/ -1 x) (/ -1 x)) into (/ 1 (pow x 2))
6.203 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
6.203 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))) into (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))
6.203 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))) into (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2))))
6.203 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
6.204 * [backup-simplify]: Simplify (- (/ 0 x) (+ (* (/ -1 x) (/ 0 x)))) into 0
6.204 * [backup-simplify]: Simplify (+ (* (/ -1 x) 0) (* 0 (/ -1 x))) into 0
6.204 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.204 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.204 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
6.204 * [backup-simplify]: Simplify (+ 0 0) into 0
6.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow x 2)) (/ 1 (pow y 2)))))) into 0
6.205 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in z
6.205 * [taylor]: Taking taylor expansion of (/ -1 z) in z
6.205 * [taylor]: Taking taylor expansion of -1 in z
6.205 * [backup-simplify]: Simplify -1 into -1
6.205 * [taylor]: Taking taylor expansion of z in z
6.205 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 1 into 1
6.205 * [backup-simplify]: Simplify (/ -1 1) into -1
6.205 * [taylor]: Taking taylor expansion of (/ -1 z) in z
6.205 * [taylor]: Taking taylor expansion of -1 in z
6.205 * [backup-simplify]: Simplify -1 into -1
6.205 * [taylor]: Taking taylor expansion of z in z
6.205 * [backup-simplify]: Simplify 0 into 0
6.205 * [backup-simplify]: Simplify 1 into 1
6.206 * [backup-simplify]: Simplify (/ -1 1) into -1
6.206 * [backup-simplify]: Simplify (* -1 -1) into 1
6.206 * [backup-simplify]: Simplify (+ 0 1) into 1
6.207 * [backup-simplify]: Simplify (sqrt 1) into 1
6.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.209 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.209 * [backup-simplify]: Simplify (+ 0 0) into 0
6.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.210 * [backup-simplify]: Simplify (sqrt 0) into 0
6.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.211 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in y
6.211 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in y
6.211 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
6.211 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in y
6.211 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in y
6.211 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
6.211 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
6.211 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
6.211 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
6.211 * [taylor]: Taking taylor expansion of (/ -1 x) in y
6.211 * [taylor]: Taking taylor expansion of -1 in y
6.211 * [backup-simplify]: Simplify -1 into -1
6.211 * [taylor]: Taking taylor expansion of x in y
6.211 * [backup-simplify]: Simplify x into x
6.211 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.211 * [taylor]: Taking taylor expansion of (/ -1 x) in y
6.212 * [taylor]: Taking taylor expansion of -1 in y
6.212 * [backup-simplify]: Simplify -1 into -1
6.212 * [taylor]: Taking taylor expansion of x in y
6.212 * [backup-simplify]: Simplify x into x
6.212 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.212 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
6.212 * [taylor]: Taking taylor expansion of (/ -1 y) in y
6.212 * [taylor]: Taking taylor expansion of -1 in y
6.212 * [backup-simplify]: Simplify -1 into -1
6.212 * [taylor]: Taking taylor expansion of y in y
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 1 into 1
6.212 * [backup-simplify]: Simplify (/ -1 1) into -1
6.212 * [taylor]: Taking taylor expansion of (/ -1 y) in y
6.212 * [taylor]: Taking taylor expansion of -1 in y
6.212 * [backup-simplify]: Simplify -1 into -1
6.212 * [taylor]: Taking taylor expansion of y in y
6.212 * [backup-simplify]: Simplify 0 into 0
6.212 * [backup-simplify]: Simplify 1 into 1
6.213 * [backup-simplify]: Simplify (/ -1 1) into -1
6.213 * [backup-simplify]: Simplify (* -1 -1) into 1
6.213 * [backup-simplify]: Simplify (+ 0 1) into 1
6.214 * [backup-simplify]: Simplify (sqrt 1) into 1
6.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.215 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.215 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.216 * [backup-simplify]: Simplify (+ 0 0) into 0
6.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.216 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in y
6.217 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
6.217 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in y
6.217 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in y
6.217 * [taylor]: Taking taylor expansion of (/ -1 x) in y
6.217 * [taylor]: Taking taylor expansion of -1 in y
6.217 * [backup-simplify]: Simplify -1 into -1
6.217 * [taylor]: Taking taylor expansion of x in y
6.217 * [backup-simplify]: Simplify x into x
6.217 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.217 * [taylor]: Taking taylor expansion of (/ -1 x) in y
6.217 * [taylor]: Taking taylor expansion of -1 in y
6.217 * [backup-simplify]: Simplify -1 into -1
6.217 * [taylor]: Taking taylor expansion of x in y
6.217 * [backup-simplify]: Simplify x into x
6.217 * [backup-simplify]: Simplify (/ -1 x) into (/ -1 x)
6.217 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in y
6.217 * [taylor]: Taking taylor expansion of (/ -1 y) in y
6.217 * [taylor]: Taking taylor expansion of -1 in y
6.217 * [backup-simplify]: Simplify -1 into -1
6.217 * [taylor]: Taking taylor expansion of y in y
6.217 * [backup-simplify]: Simplify 0 into 0
6.217 * [backup-simplify]: Simplify 1 into 1
6.218 * [backup-simplify]: Simplify (/ -1 1) into -1
6.218 * [taylor]: Taking taylor expansion of (/ -1 y) in y
6.218 * [taylor]: Taking taylor expansion of -1 in y
6.218 * [backup-simplify]: Simplify -1 into -1
6.218 * [taylor]: Taking taylor expansion of y in y
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 1 into 1
6.218 * [backup-simplify]: Simplify (/ -1 1) into -1
6.218 * [backup-simplify]: Simplify (* -1 -1) into 1
6.219 * [backup-simplify]: Simplify (+ 0 1) into 1
6.219 * [backup-simplify]: Simplify (sqrt 1) into 1
6.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.221 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.221 * [backup-simplify]: Simplify (+ 0 0) into 0
6.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.222 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in y
6.222 * [taylor]: Taking taylor expansion of (/ -1 z) in y
6.222 * [taylor]: Taking taylor expansion of -1 in y
6.222 * [backup-simplify]: Simplify -1 into -1
6.222 * [taylor]: Taking taylor expansion of z in y
6.222 * [backup-simplify]: Simplify z into z
6.222 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
6.222 * [taylor]: Taking taylor expansion of (/ -1 z) in y
6.222 * [taylor]: Taking taylor expansion of -1 in y
6.222 * [backup-simplify]: Simplify -1 into -1
6.222 * [taylor]: Taking taylor expansion of z in y
6.222 * [backup-simplify]: Simplify z into z
6.222 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
6.222 * [backup-simplify]: Simplify (* 1 1) into 1
6.223 * [backup-simplify]: Simplify (+ 1 0) into 1
6.223 * [backup-simplify]: Simplify (sqrt 1) into 1
6.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.224 * [backup-simplify]: Simplify (+ 0 0) into 0
6.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.225 * [backup-simplify]: Simplify (sqrt 0) into 0
6.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.226 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x
6.226 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
6.226 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
6.226 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
6.226 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
6.226 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
6.226 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
6.226 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
6.226 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
6.226 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.226 * [taylor]: Taking taylor expansion of -1 in x
6.226 * [backup-simplify]: Simplify -1 into -1
6.226 * [taylor]: Taking taylor expansion of x in x
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [backup-simplify]: Simplify 1 into 1
6.227 * [backup-simplify]: Simplify (/ -1 1) into -1
6.227 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.227 * [taylor]: Taking taylor expansion of -1 in x
6.227 * [backup-simplify]: Simplify -1 into -1
6.227 * [taylor]: Taking taylor expansion of x in x
6.227 * [backup-simplify]: Simplify 0 into 0
6.227 * [backup-simplify]: Simplify 1 into 1
6.227 * [backup-simplify]: Simplify (/ -1 1) into -1
6.227 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
6.227 * [taylor]: Taking taylor expansion of (/ -1 y) in x
6.227 * [taylor]: Taking taylor expansion of -1 in x
6.227 * [backup-simplify]: Simplify -1 into -1
6.227 * [taylor]: Taking taylor expansion of y in x
6.227 * [backup-simplify]: Simplify y into y
6.227 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.227 * [taylor]: Taking taylor expansion of (/ -1 y) in x
6.227 * [taylor]: Taking taylor expansion of -1 in x
6.228 * [backup-simplify]: Simplify -1 into -1
6.228 * [taylor]: Taking taylor expansion of y in x
6.228 * [backup-simplify]: Simplify y into y
6.228 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.228 * [backup-simplify]: Simplify (* -1 -1) into 1
6.228 * [backup-simplify]: Simplify (+ 1 0) into 1
6.229 * [backup-simplify]: Simplify (sqrt 1) into 1
6.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.230 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.230 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.231 * [backup-simplify]: Simplify (+ 0 0) into 0
6.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.231 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
6.231 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
6.231 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
6.231 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
6.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.232 * [taylor]: Taking taylor expansion of -1 in x
6.232 * [backup-simplify]: Simplify -1 into -1
6.232 * [taylor]: Taking taylor expansion of x in x
6.232 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [backup-simplify]: Simplify (/ -1 1) into -1
6.232 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.232 * [taylor]: Taking taylor expansion of -1 in x
6.232 * [backup-simplify]: Simplify -1 into -1
6.232 * [taylor]: Taking taylor expansion of x in x
6.232 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [backup-simplify]: Simplify (/ -1 1) into -1
6.232 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
6.233 * [taylor]: Taking taylor expansion of (/ -1 y) in x
6.233 * [taylor]: Taking taylor expansion of -1 in x
6.233 * [backup-simplify]: Simplify -1 into -1
6.233 * [taylor]: Taking taylor expansion of y in x
6.233 * [backup-simplify]: Simplify y into y
6.233 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.233 * [taylor]: Taking taylor expansion of (/ -1 y) in x
6.233 * [taylor]: Taking taylor expansion of -1 in x
6.233 * [backup-simplify]: Simplify -1 into -1
6.233 * [taylor]: Taking taylor expansion of y in x
6.233 * [backup-simplify]: Simplify y into y
6.233 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.233 * [backup-simplify]: Simplify (* -1 -1) into 1
6.233 * [backup-simplify]: Simplify (+ 1 0) into 1
6.234 * [backup-simplify]: Simplify (sqrt 1) into 1
6.234 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.236 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.236 * [backup-simplify]: Simplify (+ 0 0) into 0
6.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.236 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
6.236 * [taylor]: Taking taylor expansion of (/ -1 z) in x
6.236 * [taylor]: Taking taylor expansion of -1 in x
6.237 * [backup-simplify]: Simplify -1 into -1
6.237 * [taylor]: Taking taylor expansion of z in x
6.237 * [backup-simplify]: Simplify z into z
6.237 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
6.237 * [taylor]: Taking taylor expansion of (/ -1 z) in x
6.237 * [taylor]: Taking taylor expansion of -1 in x
6.237 * [backup-simplify]: Simplify -1 into -1
6.237 * [taylor]: Taking taylor expansion of z in x
6.237 * [backup-simplify]: Simplify z into z
6.237 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
6.237 * [backup-simplify]: Simplify (* 1 1) into 1
6.237 * [backup-simplify]: Simplify (+ 1 0) into 1
6.238 * [backup-simplify]: Simplify (sqrt 1) into 1
6.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.239 * [backup-simplify]: Simplify (+ 0 0) into 0
6.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.239 * [backup-simplify]: Simplify (sqrt 0) into 0
6.240 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.240 * [taylor]: Taking taylor expansion of (sqrt (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z))) in x
6.240 * [taylor]: Taking taylor expansion of (hypot (hypot (/ -1 x) (/ -1 y)) (/ -1 z)) in x
6.241 * [taylor]: Rewrote expression to (sqrt (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))))
6.241 * [taylor]: Taking taylor expansion of (+ (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) (* (/ -1 z) (/ -1 z))) in x
6.241 * [taylor]: Taking taylor expansion of (* (hypot (/ -1 x) (/ -1 y)) (hypot (/ -1 x) (/ -1 y))) in x
6.241 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
6.241 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
6.241 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
6.241 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
6.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.241 * [taylor]: Taking taylor expansion of -1 in x
6.241 * [backup-simplify]: Simplify -1 into -1
6.241 * [taylor]: Taking taylor expansion of x in x
6.241 * [backup-simplify]: Simplify 0 into 0
6.241 * [backup-simplify]: Simplify 1 into 1
6.241 * [backup-simplify]: Simplify (/ -1 1) into -1
6.241 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.241 * [taylor]: Taking taylor expansion of -1 in x
6.241 * [backup-simplify]: Simplify -1 into -1
6.241 * [taylor]: Taking taylor expansion of x in x
6.241 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [backup-simplify]: Simplify (/ -1 1) into -1
6.242 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
6.242 * [taylor]: Taking taylor expansion of (/ -1 y) in x
6.242 * [taylor]: Taking taylor expansion of -1 in x
6.242 * [backup-simplify]: Simplify -1 into -1
6.242 * [taylor]: Taking taylor expansion of y in x
6.242 * [backup-simplify]: Simplify y into y
6.242 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.242 * [taylor]: Taking taylor expansion of (/ -1 y) in x
6.242 * [taylor]: Taking taylor expansion of -1 in x
6.242 * [backup-simplify]: Simplify -1 into -1
6.242 * [taylor]: Taking taylor expansion of y in x
6.242 * [backup-simplify]: Simplify y into y
6.242 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.243 * [backup-simplify]: Simplify (* -1 -1) into 1
6.243 * [backup-simplify]: Simplify (+ 1 0) into 1
6.243 * [backup-simplify]: Simplify (sqrt 1) into 1
6.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.245 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.245 * [backup-simplify]: Simplify (+ 0 0) into 0
6.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.246 * [taylor]: Taking taylor expansion of (hypot (/ -1 x) (/ -1 y)) in x
6.246 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))))
6.246 * [taylor]: Taking taylor expansion of (+ (* (/ -1 x) (/ -1 x)) (* (/ -1 y) (/ -1 y))) in x
6.246 * [taylor]: Taking taylor expansion of (* (/ -1 x) (/ -1 x)) in x
6.246 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.246 * [taylor]: Taking taylor expansion of -1 in x
6.246 * [backup-simplify]: Simplify -1 into -1
6.246 * [taylor]: Taking taylor expansion of x in x
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (/ -1 1) into -1
6.247 * [taylor]: Taking taylor expansion of (/ -1 x) in x
6.247 * [taylor]: Taking taylor expansion of -1 in x
6.247 * [backup-simplify]: Simplify -1 into -1
6.247 * [taylor]: Taking taylor expansion of x in x
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (/ -1 1) into -1
6.247 * [taylor]: Taking taylor expansion of (* (/ -1 y) (/ -1 y)) in x
6.247 * [taylor]: Taking taylor expansion of (/ -1 y) in x
6.247 * [taylor]: Taking taylor expansion of -1 in x
6.247 * [backup-simplify]: Simplify -1 into -1
6.247 * [taylor]: Taking taylor expansion of y in x
6.247 * [backup-simplify]: Simplify y into y
6.247 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.247 * [taylor]: Taking taylor expansion of (/ -1 y) in x
6.247 * [taylor]: Taking taylor expansion of -1 in x
6.247 * [backup-simplify]: Simplify -1 into -1
6.247 * [taylor]: Taking taylor expansion of y in x
6.247 * [backup-simplify]: Simplify y into y
6.247 * [backup-simplify]: Simplify (/ -1 y) into (/ -1 y)
6.248 * [backup-simplify]: Simplify (* -1 -1) into 1
6.248 * [backup-simplify]: Simplify (+ 1 0) into 1
6.248 * [backup-simplify]: Simplify (sqrt 1) into 1
6.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
6.250 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
6.251 * [backup-simplify]: Simplify (+ 0 0) into 0
6.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.251 * [taylor]: Taking taylor expansion of (* (/ -1 z) (/ -1 z)) in x
6.251 * [taylor]: Taking taylor expansion of (/ -1 z) in x
6.251 * [taylor]: Taking taylor expansion of -1 in x
6.251 * [backup-simplify]: Simplify -1 into -1
6.251 * [taylor]: Taking taylor expansion of z in x
6.251 * [backup-simplify]: Simplify z into z
6.251 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
6.251 * [taylor]: Taking taylor expansion of (/ -1 z) in x
6.251 * [taylor]: Taking taylor expansion of -1 in x
6.251 * [backup-simplify]: Simplify -1 into -1
6.251 * [taylor]: Taking taylor expansion of z in x
6.251 * [backup-simplify]: Simplify z into z
6.251 * [backup-simplify]: Simplify (/ -1 z) into (/ -1 z)
6.252 * [backup-simplify]: Simplify (* 1 1) into 1
6.252 * [backup-simplify]: Simplify (+ 1 0) into 1
6.252 * [backup-simplify]: Simplify (sqrt 1) into 1
6.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.253 * [backup-simplify]: Simplify (+ 0 0) into 0
6.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.254 * [backup-simplify]: Simplify (sqrt 0) into 0
6.255 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
6.255 * [taylor]: Taking taylor expansion of 0 in y
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [taylor]: Taking taylor expansion of +nan.0 in y
6.255 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.255 * [taylor]: Taking taylor expansion of 0 in z
6.255 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
6.258 * [taylor]: Taking taylor expansion of +nan.0 in y
6.258 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.258 * [taylor]: Taking taylor expansion of +nan.0 in z
6.258 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.258 * [taylor]: Taking taylor expansion of 0 in z
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify 0 into 0
6.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.260 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.260 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
6.260 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.262 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.262 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
6.271 * [backup-simplify]: Simplify (* (/ -1 y) (/ -1 y)) into (/ 1 (pow y 2))
6.271 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y 2))) into (/ 1 (pow y 2))
6.272 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y 2))
6.272 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ 1/2 (pow y 2)) 1))) into (/ 1 (pow y 2))
6.273 * [backup-simplify]: Simplify (* (/ -1 z) (/ -1 z)) into (/ 1 (pow z 2))
6.273 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))
6.274 * [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))))
6.276 * [backup-simplify]: Simplify (/ (- (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0))
6.276 * [taylor]: Taking taylor expansion of (* +nan.0 (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0)) in y
6.276 * [taylor]: Taking taylor expansion of +nan.0 in y
6.276 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.276 * [taylor]: Taking taylor expansion of (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0) in y
6.276 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) in y
6.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in y
6.276 * [taylor]: Taking taylor expansion of 1/2 in y
6.276 * [backup-simplify]: Simplify 1/2 into 1/2
6.276 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.276 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.276 * [taylor]: Taking taylor expansion of z in y
6.276 * [backup-simplify]: Simplify z into z
6.276 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.277 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.277 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y 2))) in y
6.277 * [taylor]: Taking taylor expansion of 1/2 in y
6.277 * [backup-simplify]: Simplify 1/2 into 1/2
6.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.277 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.277 * [taylor]: Taking taylor expansion of y in y
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [backup-simplify]: Simplify (* 1 1) into 1
6.277 * [backup-simplify]: Simplify (/ 1 1) into 1
6.277 * [taylor]: Taking taylor expansion of +nan.0 in y
6.277 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
6.279 * [backup-simplify]: Simplify (+ 0 0) into 0
6.280 * [backup-simplify]: Simplify (+ 0 0) into 0
6.280 * [backup-simplify]: Simplify (* 1/2 1) into 1/2
6.280 * [backup-simplify]: Simplify (+ 0 1/2) into 1/2
6.281 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2
6.281 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0
6.281 * [taylor]: Taking taylor expansion of 0 in z
6.281 * [backup-simplify]: Simplify 0 into 0
6.281 * [taylor]: Taking taylor expansion of +nan.0 in z
6.281 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.281 * [taylor]: Taking taylor expansion of 0 in z
6.281 * [backup-simplify]: Simplify 0 into 0
6.282 * [taylor]: Taking taylor expansion of 0 in z
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 0 into 0
6.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.284 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.284 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.284 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.285 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
6.285 * [backup-simplify]: Simplify (+ 0 0) into 0
6.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.286 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.288 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
6.288 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.288 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)))) into 0
6.288 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (* 0 (/ -1 y))) into 0
6.289 * [backup-simplify]: Simplify (+ 0 0) into 0
6.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y 2)))))) (* 2 1)) into 0
6.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y 2))) (+ (* (/ 1/2 (pow y 2)) 0) (* 0 1)))) into 0
6.290 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
6.290 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)))) into 0
6.291 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (* 0 (/ -1 z))) into 0
6.291 * [backup-simplify]: Simplify (+ 0 0) into 0
6.292 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow z 2)) (/ 1 (pow y 2)))))))) (* 2 1)) into 0
6.293 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))))
6.293 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y
6.293 * [taylor]: Taking taylor expansion of +nan.0 in y
6.293 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.293 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y
6.293 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in y
6.293 * [taylor]: Taking taylor expansion of +nan.0 in y
6.293 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.293 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.293 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.293 * [taylor]: Taking taylor expansion of z in y
6.293 * [backup-simplify]: Simplify z into z
6.293 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.293 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.293 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y
6.294 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y
6.294 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y
6.294 * [taylor]: Taking taylor expansion of +nan.0 in y
6.294 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.294 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.294 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.294 * [taylor]: Taking taylor expansion of y in y
6.294 * [backup-simplify]: Simplify 0 into 0
6.294 * [backup-simplify]: Simplify 1 into 1
6.294 * [backup-simplify]: Simplify (* 1 1) into 1
6.294 * [backup-simplify]: Simplify (/ 1 1) into 1
6.294 * [taylor]: Taking taylor expansion of (- +nan.0) in y
6.294 * [taylor]: Taking taylor expansion of +nan.0 in y
6.294 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.296 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.296 * [backup-simplify]: Simplify (+ 0 0) into 0
6.297 * [backup-simplify]: Simplify (- 0) into 0
6.297 * [backup-simplify]: Simplify (+ 0 0) into 0
6.297 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.298 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.298 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.299 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.300 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0
6.300 * [taylor]: Taking taylor expansion of 0 in z
6.300 * [backup-simplify]: Simplify 0 into 0
6.300 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
6.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.302 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
6.302 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
6.303 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.303 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (- +nan.0)) into (- (* 1/2 (/ 1 (pow z 2))) +nan.0)
6.304 * [backup-simplify]: Simplify (+ (* +nan.0 (- (* 1/2 (/ 1 (pow z 2))) +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))
6.304 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))) in z
6.304 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)) in z
6.304 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in z
6.304 * [taylor]: Taking taylor expansion of +nan.0 in z
6.304 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.304 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.304 * [taylor]: Taking taylor expansion of z in z
6.304 * [backup-simplify]: Simplify 0 into 0
6.304 * [backup-simplify]: Simplify 1 into 1
6.305 * [backup-simplify]: Simplify (* 1 1) into 1
6.305 * [backup-simplify]: Simplify (/ 1 1) into 1
6.305 * [taylor]: Taking taylor expansion of (- +nan.0) in z
6.305 * [taylor]: Taking taylor expansion of +nan.0 in z
6.305 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.307 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.307 * [backup-simplify]: Simplify (+ 0 0) into 0
6.307 * [backup-simplify]: Simplify (- 0) into 0
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [taylor]: Taking taylor expansion of 0 in z
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [taylor]: Taking taylor expansion of 0 in z
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [taylor]: Taking taylor expansion of 0 in z
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify 0 into 0
6.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.310 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
6.310 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.310 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.311 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
6.311 * [backup-simplify]: Simplify (+ 0 0) into 0
6.312 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
6.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.314 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.315 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
6.315 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.315 * [backup-simplify]: Simplify (- (/ 0 y) (+ (* (/ -1 y) (/ 0 y)) (* 0 (/ 0 y)))) into 0
6.315 * [backup-simplify]: Simplify (+ (* (/ -1 y) 0) (+ (* 0 0) (* 0 (/ -1 y)))) into 0
6.316 * [backup-simplify]: Simplify (+ 0 0) into 0
6.317 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y 4))
6.318 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y 2)) (/ 1/2 (pow y 2))) (+ (* 0 0) (* (/ -1/8 (pow y 4)) 1))))) into 0
6.318 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
6.318 * [backup-simplify]: Simplify (- (/ 0 z) (+ (* (/ -1 z) (/ 0 z)) (* 0 (/ 0 z)))) into 0
6.319 * [backup-simplify]: Simplify (+ (* (/ -1 z) 0) (+ (* 0 0) (* 0 (/ -1 z)))) into 0
6.319 * [backup-simplify]: Simplify (+ 0 0) into 0
6.321 * [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))))))
6.323 * [backup-simplify]: Simplify (/ (- (* -1/2 (+ (* 1/4 (/ 1 (pow z 4))) (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/4 (/ 1 (pow y 4)))))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))))) (* 2 (* +nan.0 (* +nan.0 (- (+ (* 1/2 (/ 1 (pow z 2))) (* 1/2 (/ 1 (pow y 2)))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow z 4))) (- (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))))))
6.323 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* 1/8 (/ 1 (pow z 4))) (- (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))))) in y
6.323 * [taylor]: Taking taylor expansion of +nan.0 in y
6.323 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.323 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ 1 (pow z 4))) (- (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))))) in y
6.324 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow z 4))) in y
6.324 * [taylor]: Taking taylor expansion of 1/8 in y
6.324 * [backup-simplify]: Simplify 1/8 into 1/8
6.324 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
6.324 * [taylor]: Taking taylor expansion of (pow z 4) in y
6.324 * [taylor]: Taking taylor expansion of z in y
6.324 * [backup-simplify]: Simplify z into z
6.324 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.324 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
6.324 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
6.324 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))))) in y
6.324 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) (* 1/8 (/ 1 (pow y 4)))) in y
6.324 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow z 2) (pow y 2)))) in y
6.324 * [taylor]: Taking taylor expansion of 1/4 in y
6.324 * [backup-simplify]: Simplify 1/4 into 1/4
6.324 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
6.324 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
6.324 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.324 * [taylor]: Taking taylor expansion of z in y
6.324 * [backup-simplify]: Simplify z into z
6.324 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.324 * [taylor]: Taking taylor expansion of y in y
6.324 * [backup-simplify]: Simplify 0 into 0
6.324 * [backup-simplify]: Simplify 1 into 1
6.324 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.325 * [backup-simplify]: Simplify (* 1 1) into 1
6.325 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
6.325 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.325 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow y 4))) in y
6.325 * [taylor]: Taking taylor expansion of 1/8 in y
6.325 * [backup-simplify]: Simplify 1/8 into 1/8
6.325 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
6.325 * [taylor]: Taking taylor expansion of (pow y 4) in y
6.325 * [taylor]: Taking taylor expansion of y in y
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 1 into 1
6.325 * [backup-simplify]: Simplify (* 1 1) into 1
6.326 * [backup-simplify]: Simplify (* 1 1) into 1
6.326 * [backup-simplify]: Simplify (/ 1 1) into 1
6.326 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)))) in y
6.326 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in y
6.326 * [taylor]: Taking taylor expansion of +nan.0 in y
6.326 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.326 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
6.326 * [taylor]: Taking taylor expansion of (pow z 2) in y
6.327 * [taylor]: Taking taylor expansion of z in y
6.327 * [backup-simplify]: Simplify z into z
6.327 * [backup-simplify]: Simplify (* z z) into (pow z 2)
6.327 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
6.327 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0))) in y
6.327 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow y 2))) (- +nan.0)) in y
6.327 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow y 2))) in y
6.327 * [taylor]: Taking taylor expansion of +nan.0 in y
6.327 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
6.327 * [taylor]: Taking taylor expansion of (pow y 2) in y
6.327 * [taylor]: Taking taylor expansion of y in y
6.327 * [backup-simplify]: Simplify 0 into 0
6.327 * [backup-simplify]: Simplify 1 into 1
6.327 * [backup-simplify]: Simplify (* 1 1) into 1
6.328 * [backup-simplify]: Simplify (/ 1 1) into 1
6.328 * [taylor]: Taking taylor expansion of (- +nan.0) in y
6.328 * [taylor]: Taking taylor expansion of +nan.0 in y
6.328 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.329 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
6.329 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
6.329 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
6.330 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow z 2)))) into 0
6.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.337 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.337 * [backup-simplify]: Simplify (+ 0 0) into 0
6.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.339 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.339 * [backup-simplify]: Simplify (+ 0 0) into 0
6.339 * [backup-simplify]: Simplify (- 0) into 0
6.340 * [backup-simplify]: Simplify (+ 0 0) into 0
6.340 * [backup-simplify]: Simplify (- 0) into 0
6.340 * [backup-simplify]: Simplify (+ 0 0) into 0
6.341 * [backup-simplify]: Simplify (+ 0 0) into 0
6.341 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow z 2))) into (/ 1/4 (pow z 2))
6.342 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (* 0 1))) into 0
6.342 * [backup-simplify]: Simplify (+ (/ 1/4 (pow z 2)) 0) into (* 1/4 (/ 1 (pow z 2)))
6.342 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
6.343 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
6.343 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.344 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.345 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.345 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow z 2))) (- +nan.0)) into (- (* 1/4 (/ 1 (pow z 2))) +nan.0)
6.345 * [backup-simplify]: Simplify (+ 0 (- (* 1/4 (/ 1 (pow z 2))) +nan.0)) into (- (* 1/4 (/ 1 (pow z 2))) +nan.0)
6.346 * [backup-simplify]: Simplify (+ (* 1/8 0) (* 0 1)) into 0
6.346 * [backup-simplify]: Simplify (+ 0 0) into 0
6.347 * [backup-simplify]: Simplify (+ 0 0) into 0
6.347 * [backup-simplify]: Simplify (+ 0 0) into 0
6.347 * [backup-simplify]: Simplify (* 1/8 1) into 1/8
6.348 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
6.348 * [backup-simplify]: Simplify (+ 1/8 0) into 1/8
6.348 * [backup-simplify]: Simplify (+ 0 1/8) into 1/8
6.349 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 (- (* 1/4 (/ 1 (pow z 2))) +nan.0)) (+ (* 0 0) (* 0 1/8)))) into 0
6.349 * [taylor]: Taking taylor expansion of 0 in z
6.349 * [backup-simplify]: Simplify 0 into 0
6.350 * [backup-simplify]: Simplify (* +nan.0 (/ 1 (pow z 2))) into (/ +nan.0 (pow z 2))
6.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.352 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
6.352 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
6.353 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
6.354 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
6.354 * [backup-simplify]: Simplify (+ (/ +nan.0 (pow z 2)) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))
6.356 * [backup-simplify]: Simplify (+ (* +nan.0 (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))) (+ (* 0 0) (* 0 (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)))
6.356 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0))) in z
6.356 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow z 2))) (- +nan.0)) in z
6.356 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow z 2))) in z
6.356 * [taylor]: Taking taylor expansion of +nan.0 in z
6.356 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.356 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
6.356 * [taylor]: Taking taylor expansion of (pow z 2) in z
6.356 * [taylor]: Taking taylor expansion of z in z
6.356 * [backup-simplify]: Simplify 0 into 0
6.356 * [backup-simplify]: Simplify 1 into 1
6.356 * [backup-simplify]: Simplify (* 1 1) into 1
6.357 * [backup-simplify]: Simplify (/ 1 1) into 1
6.357 * [taylor]: Taking taylor expansion of (- +nan.0) in z
6.357 * [taylor]: Taking taylor expansion of +nan.0 in z
6.357 * [backup-simplify]: Simplify +nan.0 into +nan.0
6.357 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.358 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
6.359 * [backup-simplify]: Simplify (+ 0 0) into 0
6.359 * [backup-simplify]: Simplify (- 0) into 0
6.359 * [backup-simplify]: Simplify 0 into 0
6.359 * [backup-simplify]: Simplify (+ (* +nan.0 (* 1 (* 1 (/ 1 (- x))))) +nan.0) into (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))
6.359 * * * [progress]: simplifying candidates
6.361 * [simplify]: Simplifying:
  (expm1 (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))
  (log1p (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))
  (+ 1/2 1/2)
  (+ 1/2 (/ 1 2))
  (+ 1 1)
  (+ (/ 1 2) 1/2)
  (+ (/ 1 2) (/ 1 2))
  (* (hypot (hypot x y) z) (hypot (hypot x y) z))
  (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))
  (* (hypot (hypot x y) z) (hypot (hypot x y) z))
  (+ 1 1)
  (+ (log (sqrt (hypot (hypot x y) z))) (log (sqrt (hypot (hypot x y) z))))
  (log (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))
  (exp (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))
  (* (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))) (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z))))
  (* (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))))
  (cbrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))
  (* (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))
  (* (hypot (hypot x y) z) (hypot (hypot x y) z))
  (sqrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))
  (sqrt (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))
  (* (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))))
  (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))) (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))))
  (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (cbrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt 1) (sqrt 1))
  (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* 1 1)
  (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (sqrt (hypot (hypot x y) z))))
  (* 2 1/2)
  (* 2 1)
  (* 2 (/ 1 2))
  (* (sqrt (hypot (hypot x y) z)) (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z)))))
  (* (sqrt (hypot (hypot x y) z)) (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))))
  (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (hypot (hypot x y) z)) (sqrt 1))
  (* (sqrt (hypot (hypot x y) z)) (sqrt (sqrt (hypot (hypot x y) z))))
  (* (sqrt (hypot (hypot x y) z)) 1)
  (* (cbrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z)))
  (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z)))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z)))
  (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))
  (* (sqrt (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z)))
  (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z)))
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (+ (* (hypot x y) (hypot x y)) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (+ (* (hypot x y) (hypot x y)) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (* (* (hypot (hypot x y) z) (hypot (hypot x y) z)) (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (expm1 (sqrt (hypot (hypot x y) z)))
  (log1p (sqrt (hypot (hypot x y) z)))
  (log (sqrt (hypot (hypot x y) z)))
  (exp (sqrt (hypot (hypot x y) z)))
  (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z))))
  (cbrt (sqrt (hypot (hypot x y) z)))
  (* (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z)))
  (sqrt (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z))))
  (sqrt (cbrt (hypot (hypot x y) z)))
  (sqrt (sqrt (hypot (hypot x y) z)))
  (sqrt (sqrt (hypot (hypot x y) z)))
  (sqrt 1)
  (sqrt (hypot (hypot x y) z))
  (/ 1 2)
  (sqrt (sqrt (hypot (hypot x y) z)))
  (sqrt (sqrt (hypot (hypot x y) z)))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (- (pow z 1/2) (+ (* +nan.0 (pow x 2)) (- (* +nan.0 (pow y 2)))))
  (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))
  (- (+ +nan.0 (- (* +nan.0 (/ 1 x)))))
6.364 * * [simplify]: Extracting # 0 : cost  0
6.364 * * [simplify]: Extracting # 1 : cost  0
6.364 * * [simplify]: Extracting # 2 : cost  0
6.364 * * [simplify]: Extracting # 3 : cost  0
6.364 * * [simplify]: Extracting # 4 : cost  0
6.365 * * [simplify]: Extracting # 5 : cost  0
6.365 * * [simplify]: Extracting # 6 : cost  0
6.365 * * [simplify]: Extracting # 7 : cost  0
6.365 * * [simplify]: iteration  0 :  82  enodes  (cost  1186 )
6.403 * * [simplify]: Extracting # 0 : cost  0
6.404 * * [simplify]: Extracting # 1 : cost  0
6.404 * * [simplify]: Extracting # 2 : cost  0
6.404 * * [simplify]: Extracting # 3 : cost  0
6.405 * * [simplify]: iteration  1 :  183  enodes  (cost  783 )
6.518 * * [simplify]: Extracting # 0 : cost  0
6.520 * * [simplify]: Extracting # 1 : cost  0
6.521 * * [simplify]: Extracting # 2 : cost  0
6.522 * * [simplify]: Extracting # 3 : cost  0
6.523 * * [simplify]: Extracting # 4 : cost  0
6.523 * * [simplify]: iteration  2 :  812  enodes  (cost  691 )
7.333 * * [simplify]: Extracting # 0 : cost  0
7.374 * * [simplify]: Extracting # 1 : cost  0
7.381 * * [simplify]: Extracting # 2 : cost  0
7.387 * * [simplify]: Extracting # 3 : cost  0
7.393 * * [simplify]: Extracting # 4 : cost  0
7.399 * * [simplify]: iteration done:  5000  enodes  (cost  676 )
7.400 * [simplify]: Simplified to:
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  1
  1
  2
  1
  1
  (pow (sqrt (hypot (hypot x y) z)) (+ 3 1))
  (hypot (hypot x y) z)
  (pow (sqrt (hypot (hypot x y) z)) (+ 3 1))
  2
  (log (hypot (hypot x y) z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (pow (hypot (hypot x y) z) 3)
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (pow (hypot (hypot x y) z) 3)
  (pow (sqrt (hypot (hypot x y) z)) (+ 3 1))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (pow (cbrt (sqrt (hypot (hypot x y) z))) (+ 3 1))
  (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z))))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  1
  (hypot (hypot x y) z)
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  1
  (hypot (hypot x y) z)
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  1
  2
  1
  (* (cbrt (sqrt (hypot (hypot x y) z))) (pow (cbrt (sqrt (hypot (hypot x y) z))) (+ 3 1)))
  (* (sqrt (hypot (hypot x y) z)) (fabs (cbrt (hypot (hypot x y) z))))
  (pow (sqrt (sqrt (hypot (hypot x y) z))) 3)
  (sqrt (hypot (hypot x y) z))
  (pow (sqrt (sqrt (hypot (hypot x y) z))) 3)
  (sqrt (hypot (hypot x y) z))
  (pow (cbrt (sqrt (hypot (hypot x y) z))) (+ 3 1))
  (* (sqrt (cbrt (hypot (hypot x y) z))) (sqrt (hypot (hypot x y) z)))
  (pow (sqrt (sqrt (hypot (hypot x y) z))) 3)
  (hypot (hypot x y) z)
  (pow (sqrt (sqrt (hypot (hypot x y) z))) 3)
  (hypot (hypot x y) z)
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (fma (hypot x y) (hypot x y) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (pow (hypot (hypot x y) z) 3)
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (expm1 (hypot (hypot x y) z))
  (log1p (hypot (hypot x y) z))
  (fma (hypot x y) (hypot x y) (* z z))
  (log (hypot (hypot x y) z))
  (exp (hypot (hypot x y) z))
  (* (cbrt (hypot (hypot x y) z)) (cbrt (hypot (hypot x y) z)))
  (cbrt (hypot (hypot x y) z))
  (pow (hypot (hypot x y) z) 3)
  (sqrt (hypot (hypot x y) z))
  (sqrt (hypot (hypot x y) z))
  (expm1 (sqrt (hypot (hypot x y) z)))
  (log1p (sqrt (hypot (hypot x y) z)))
  (log (sqrt (hypot (hypot x y) z)))
  (exp (sqrt (hypot (hypot x y) z)))
  (* (cbrt (sqrt (hypot (hypot x y) z))) (cbrt (sqrt (hypot (hypot x y) z))))
  (cbrt (sqrt (hypot (hypot x y) z)))
  (pow (sqrt (hypot (hypot x y) z)) 3)
  (fabs (cbrt (hypot (hypot x y) z)))
  (sqrt (cbrt (hypot (hypot x y) z)))
  (sqrt (sqrt (hypot (hypot x y) z)))
  (sqrt (sqrt (hypot (hypot x y) z)))
  1
  (sqrt (hypot (hypot x y) z))
  1/2
  (sqrt (sqrt (hypot (hypot x y) z)))
  (sqrt (sqrt (hypot (hypot x y) z)))
  z
  x
  (- x)
  z
  x
  (- x)
  z
  x
  (- x)
  (- (sqrt z) (* +nan.0 (- (pow x 2) (pow y 2))))
  (+ (/ +nan.0 x) (- +nan.0))
  (+ (/ +nan.0 x) (- +nan.0))
7.401 * * * [progress]: adding candidates to table
7.813 * [progress]: [Phase 3 of 3] Extracting.
7.813 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
7.814 * * * [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)
7.814 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
7.861 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
7.911 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
7.957 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.002 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.045 * * * * [regimes]: Trying to branch on (sqrt (+ (+ (* x x) (* y y)) (* z z))) from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.095 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.144 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.197 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (+ (+ (* x x) (* y y)) (* z z))))> #<alt (λ (x y z) (* (sqrt (hypot (hypot x y) z)) (sqrt (hypot (hypot x y) z))))> #<alt (λ (x y z) (hypot (hypot x y) z))>)
8.245 * * * [regime]: Found split indices: #<option (#s(si 2 255))>
8.245 * [simplify]: Simplifying:
  (hypot (hypot x y) z)
8.246 * * [simplify]: Extracting # 0 : cost  0
8.246 * * [simplify]: Extracting # 1 : cost  0
8.246 * * [simplify]: Extracting # 2 : cost  0
8.246 * * [simplify]: Extracting # 3 : cost  0
8.246 * * [simplify]: Extracting # 4 : cost  0
8.246 * * [simplify]: iteration  0 :  5  enodes  (cost  5 )
8.246 * * [simplify]: Extracting # 0 : cost  0
8.246 * * [simplify]: iteration done:  5  enodes  (cost  5 )
8.246 * [simplify]: Simplified to:
  (hypot (hypot x y) z)
9.889 * [regime-testing]: Baseline error score: 0.004875609451181397
9.892 * [regime-testing]: Oracle error score: 0.0032504063007875983
9.897 * [regime-testing]: End program error score: 0.004875609451181397
10.027 * [regime-testing]: Target error score: 25.448204002103047