22.272 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.035 * * * [progress]: [2/2] Setting up program.
0.041 * [progress]: [Phase 2 of 3] Improving.
0.041 * * * * [progress]: [ 1 / 1 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
0.042 * [simplify]: Simplifying:
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
0.042 * * [simplify]: iteration 0: 11 enodes
0.046 * * [simplify]: iteration 1: 15 enodes
0.050 * * [simplify]: iteration 2: 21 enodes
0.054 * * [simplify]: iteration 3: 22 enodes
0.057 * * [simplify]: iteration complete: 22 enodes
0.057 * * [simplify]: Extracting #0: cost 1 inf + 0
0.057 * * [simplify]: Extracting #1: cost 2 inf + 0
0.057 * * [simplify]: Extracting #2: cost 4 inf + 0
0.057 * * [simplify]: Extracting #3: cost 9 inf + 1
0.057 * * [simplify]: Extracting #4: cost 12 inf + 1
0.057 * * [simplify]: Extracting #5: cost 8 inf + 45
0.058 * * [simplify]: Extracting #6: cost 5 inf + 249
0.058 * * [simplify]: Extracting #7: cost 1 inf + 940
0.058 * * [simplify]: Extracting #8: cost 0 inf + 1224
0.058 * [simplify]: Simplified to:
  (sqrt (/ (+ (* y y) (+ (* x x) (* z z))) 3.0))
0.059 * * [progress]: iteration 1 / 4
0.059 * * * [progress]: picking best candidate
0.062 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>
0.062 * * * [progress]: localizing error
0.084 * * * [progress]: generating rewritten candidates
0.085 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.118 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.205 * * * [progress]: generating series expansions
0.205 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.205 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
0.206 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.206 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
0.206 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.206 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.206 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.206 * [taylor]: Taking taylor expansion of y in z
0.206 * [backup-simplify]: Simplify y into y
0.206 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.206 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.206 * [taylor]: Taking taylor expansion of x in z
0.206 * [backup-simplify]: Simplify x into x
0.206 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.206 * [taylor]: Taking taylor expansion of z in z
0.206 * [backup-simplify]: Simplify 0 into 0
0.206 * [backup-simplify]: Simplify 1 into 1
0.206 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.206 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.206 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
0.206 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
0.206 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
0.206 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.206 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (+ 0 0) into 0
0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
0.207 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.207 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.207 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.208 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.208 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.208 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.208 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.208 * [taylor]: Taking taylor expansion of y in y
0.208 * [backup-simplify]: Simplify 0 into 0
0.208 * [backup-simplify]: Simplify 1 into 1
0.208 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.208 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.208 * [taylor]: Taking taylor expansion of x in y
0.208 * [backup-simplify]: Simplify x into x
0.208 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.208 * [taylor]: Taking taylor expansion of z in y
0.208 * [backup-simplify]: Simplify z into z
0.208 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.208 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.208 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
0.209 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
0.209 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
0.209 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
0.209 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.209 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (+ 0 0) into 0
0.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
0.209 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.209 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.209 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.210 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.210 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.211 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.211 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.211 * [taylor]: Taking taylor expansion of y in x
0.211 * [backup-simplify]: Simplify y into y
0.211 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.211 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.211 * [taylor]: Taking taylor expansion of x in x
0.211 * [backup-simplify]: Simplify 0 into 0
0.211 * [backup-simplify]: Simplify 1 into 1
0.211 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.211 * [taylor]: Taking taylor expansion of z in x
0.211 * [backup-simplify]: Simplify z into z
0.211 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.211 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.211 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.211 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.211 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.211 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.211 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (+ 0 0) into 0
0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.212 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.212 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.212 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.213 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.213 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.213 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.213 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.213 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.213 * [taylor]: Taking taylor expansion of y in x
0.213 * [backup-simplify]: Simplify y into y
0.213 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.213 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.213 * [taylor]: Taking taylor expansion of x in x
0.213 * [backup-simplify]: Simplify 0 into 0
0.213 * [backup-simplify]: Simplify 1 into 1
0.213 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.213 * [taylor]: Taking taylor expansion of z in x
0.213 * [backup-simplify]: Simplify z into z
0.213 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.213 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.213 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.213 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.214 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
0.214 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.214 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
0.214 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.214 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.214 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.215 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.216 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
0.216 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
0.216 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
0.216 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.216 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.216 * [taylor]: Taking taylor expansion of y in y
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.216 * [taylor]: Taking taylor expansion of z in y
0.216 * [backup-simplify]: Simplify z into z
0.216 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.216 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.216 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
0.216 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.216 * [backup-simplify]: Simplify (+ 0 0) into 0
0.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
0.216 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.216 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.216 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.217 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.217 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
0.217 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
0.217 * [taylor]: Taking taylor expansion of z in z
0.217 * [backup-simplify]: Simplify 0 into 0
0.217 * [backup-simplify]: Simplify 1 into 1
0.217 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.217 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.217 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.218 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.218 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
0.218 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.219 * [taylor]: Taking taylor expansion of 0 in y
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [taylor]: Taking taylor expansion of 0 in z
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.219 * [taylor]: Taking taylor expansion of 0 in z
0.219 * [backup-simplify]: Simplify 0 into 0
0.219 * [backup-simplify]: Simplify 0 into 0
0.221 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
0.221 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.222 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.222 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.222 * [backup-simplify]: Simplify (* 1 1) into 1
0.223 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.223 * [backup-simplify]: Simplify (+ 1 0) into 1
0.223 * [backup-simplify]: Simplify (+ 0 1) into 1
0.224 * [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)))))
0.225 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
0.225 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
0.225 * [taylor]: Taking taylor expansion of 1/2 in y
0.225 * [backup-simplify]: Simplify 1/2 into 1/2
0.225 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
0.225 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
0.225 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
0.225 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.225 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.225 * [taylor]: Taking taylor expansion of y in y
0.225 * [backup-simplify]: Simplify 0 into 0
0.225 * [backup-simplify]: Simplify 1 into 1
0.225 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.225 * [taylor]: Taking taylor expansion of z in y
0.225 * [backup-simplify]: Simplify z into z
0.225 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.225 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.225 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.225 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
0.225 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
0.226 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.226 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.226 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.226 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.227 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
0.227 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.227 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.227 * [taylor]: Taking taylor expansion of 1/2 in z
0.227 * [backup-simplify]: Simplify 1/2 into 1/2
0.227 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.227 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.227 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.227 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.227 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.228 * [taylor]: Taking taylor expansion of z in z
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.229 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [taylor]: Taking taylor expansion of 0 in z
0.230 * [backup-simplify]: Simplify 0 into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.231 * [backup-simplify]: Simplify (* 1 1) into 1
0.232 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.232 * [backup-simplify]: Simplify (+ 1 0) into 1
0.233 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
0.234 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
0.234 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
0.234 * [taylor]: Taking taylor expansion of 1/2 in z
0.234 * [backup-simplify]: Simplify 1/2 into 1/2
0.234 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
0.234 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.234 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.234 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.235 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.235 * [taylor]: Taking taylor expansion of z in z
0.235 * [backup-simplify]: Simplify 0 into 0
0.235 * [backup-simplify]: Simplify 1 into 1
0.236 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.238 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.238 * [backup-simplify]: Simplify 0 into 0
0.239 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.240 * [backup-simplify]: Simplify 0 into 0
0.241 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
0.242 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) 3.0)) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
0.242 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.242 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.242 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.242 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.242 * [taylor]: Taking taylor expansion of y in z
0.242 * [backup-simplify]: Simplify y into y
0.242 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.242 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 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)
0.242 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.242 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.242 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.242 * [taylor]: Taking taylor expansion of z in z
0.242 * [backup-simplify]: Simplify 0 into 0
0.242 * [backup-simplify]: Simplify 1 into 1
0.243 * [backup-simplify]: Simplify (* 1 1) into 1
0.243 * [backup-simplify]: Simplify (/ 1 1) into 1
0.244 * [backup-simplify]: Simplify (+ 0 1) 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
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.246 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.246 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.247 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.247 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.247 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.247 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.247 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.247 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.247 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.247 * [taylor]: Taking taylor expansion of y in y
0.247 * [backup-simplify]: Simplify 0 into 0
0.247 * [backup-simplify]: Simplify 1 into 1
0.248 * [backup-simplify]: Simplify (* 1 1) into 1
0.248 * [backup-simplify]: Simplify (/ 1 1) into 1
0.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.248 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.248 * [taylor]: Taking taylor expansion of x in y
0.248 * [backup-simplify]: Simplify x into x
0.248 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.248 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.248 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.248 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.248 * [taylor]: Taking taylor expansion of z in y
0.248 * [backup-simplify]: Simplify z into z
0.248 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.248 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.248 * [backup-simplify]: Simplify (+ 1 0) into 1
0.249 * [backup-simplify]: Simplify (sqrt 1) into 1
0.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ 0 0) into 0
0.250 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.250 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.250 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.250 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.251 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.251 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.251 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.251 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.251 * [taylor]: Taking taylor expansion of y in x
0.251 * [backup-simplify]: Simplify y into y
0.251 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.251 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.251 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.251 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.251 * [taylor]: Taking taylor expansion of x in x
0.251 * [backup-simplify]: Simplify 0 into 0
0.251 * [backup-simplify]: Simplify 1 into 1
0.252 * [backup-simplify]: Simplify (* 1 1) into 1
0.252 * [backup-simplify]: Simplify (/ 1 1) into 1
0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.252 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.252 * [taylor]: Taking taylor expansion of z in x
0.252 * [backup-simplify]: Simplify z into z
0.252 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.252 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.252 * [backup-simplify]: Simplify (+ 1 0) into 1
0.253 * [backup-simplify]: Simplify (+ 0 1) into 1
0.253 * [backup-simplify]: Simplify (sqrt 1) into 1
0.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.254 * [backup-simplify]: Simplify (+ 0 0) into 0
0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.255 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.255 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.255 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.255 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.255 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.255 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.255 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.255 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.255 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.255 * [taylor]: Taking taylor expansion of y in x
0.255 * [backup-simplify]: Simplify y into y
0.256 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.256 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.256 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.256 * [taylor]: Taking taylor expansion of x in x
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (* 1 1) into 1
0.256 * [backup-simplify]: Simplify (/ 1 1) into 1
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.256 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.256 * [taylor]: Taking taylor expansion of z in x
0.256 * [backup-simplify]: Simplify z into z
0.256 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.256 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.257 * [backup-simplify]: Simplify (+ 1 0) into 1
0.257 * [backup-simplify]: Simplify (+ 0 1) into 1
0.257 * [backup-simplify]: Simplify (sqrt 1) into 1
0.258 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.258 * [backup-simplify]: Simplify (+ 0 0) into 0
0.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.259 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.259 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.259 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.259 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.260 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.260 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.260 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.260 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.261 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.262 * [taylor]: Taking taylor expansion of 0 in y
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.262 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.262 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.262 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.263 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.264 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.264 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.264 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.265 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
0.267 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.267 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.267 * [taylor]: Taking taylor expansion of 1/2 in y
0.267 * [backup-simplify]: Simplify 1/2 into 1/2
0.267 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.267 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.267 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.268 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.269 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.269 * [taylor]: Taking taylor expansion of z in y
0.269 * [backup-simplify]: Simplify z into z
0.269 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.270 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.270 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (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 (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.270 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.270 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.270 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.270 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
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
0.272 * [backup-simplify]: Simplify (* 1 1) into 1
0.273 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.275 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [taylor]: Taking taylor expansion of 0 in z
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [taylor]: Taking taylor expansion of 0 in z
0.276 * [backup-simplify]: Simplify 0 into 0
0.276 * [taylor]: Taking taylor expansion of 0 in z
0.276 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.278 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.278 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.281 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.282 * [backup-simplify]: Simplify (+ 0 0) into 0
0.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.284 * [taylor]: Taking taylor expansion of 0 in y
0.284 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.290 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.290 * [taylor]: Taking taylor expansion of 1/2 in z
0.290 * [backup-simplify]: Simplify 1/2 into 1/2
0.290 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.290 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.290 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.290 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.291 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.292 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.292 * [taylor]: Taking taylor expansion of z in z
0.292 * [backup-simplify]: Simplify 0 into 0
0.292 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (* 1 1) into 1
0.293 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.296 * [backup-simplify]: Simplify 0 into 0
0.296 * [taylor]: Taking taylor expansion of 0 in z
0.296 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.297 * [taylor]: Taking taylor expansion of 0 in z
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.300 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
0.311 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
0.311 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
0.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.312 * [taylor]: Taking taylor expansion of 1/4 in y
0.312 * [backup-simplify]: Simplify 1/4 into 1/4
0.312 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.312 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.312 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.312 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.312 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.313 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.313 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.313 * [taylor]: Taking taylor expansion of z in y
0.313 * [backup-simplify]: Simplify z into z
0.313 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.313 * [taylor]: Taking taylor expansion of y in y
0.313 * [backup-simplify]: Simplify 0 into 0
0.313 * [backup-simplify]: Simplify 1 into 1
0.313 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.314 * [backup-simplify]: Simplify (* 1 1) into 1
0.314 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.314 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.314 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
0.314 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.314 * [taylor]: Taking taylor expansion of 1/8 in y
0.314 * [backup-simplify]: Simplify 1/8 into 1/8
0.314 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.314 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.314 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.315 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.315 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.316 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.316 * [taylor]: Taking taylor expansion of y in y
0.316 * [backup-simplify]: Simplify 0 into 0
0.316 * [backup-simplify]: Simplify 1 into 1
0.316 * [backup-simplify]: Simplify (* 1 1) into 1
0.317 * [backup-simplify]: Simplify (* 1 1) into 1
0.318 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.318 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.318 * [taylor]: Taking taylor expansion of 1/8 in y
0.318 * [backup-simplify]: Simplify 1/8 into 1/8
0.318 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.318 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.318 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.318 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.319 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.319 * [taylor]: Taking taylor expansion of z in y
0.319 * [backup-simplify]: Simplify z into z
0.319 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.319 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.320 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.321 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.321 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.322 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.323 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.324 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.331 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.336 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (+ 0 0) into 0
0.337 * [backup-simplify]: Simplify (- 0) into 0
0.337 * [taylor]: Taking taylor expansion of 0 in z
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [taylor]: Taking taylor expansion of 0 in z
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.338 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.340 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.343 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.345 * [backup-simplify]: Simplify (+ 0 0) into 0
0.345 * [taylor]: Taking taylor expansion of 0 in z
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [taylor]: Taking taylor expansion of 0 in z
0.345 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.347 * [taylor]: Taking taylor expansion of 0 in z
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.351 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
0.352 * [backup-simplify]: Simplify (sqrt (/ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) 3.0)) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
0.352 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
0.353 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
0.353 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.353 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.353 * [taylor]: Taking taylor expansion of y in z
0.353 * [backup-simplify]: Simplify y into y
0.353 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.353 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.353 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.353 * [taylor]: Taking taylor expansion of x in z
0.353 * [backup-simplify]: Simplify x into x
0.353 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.353 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.353 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.353 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.353 * [taylor]: Taking taylor expansion of z in z
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* 1 1) into 1
0.354 * [backup-simplify]: Simplify (/ 1 1) into 1
0.355 * [backup-simplify]: Simplify (+ 0 1) into 1
0.355 * [backup-simplify]: Simplify (+ 0 1) into 1
0.356 * [backup-simplify]: Simplify (sqrt 1) into 1
0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.357 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (+ 0 0) into 0
0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.358 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.358 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.358 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.358 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.359 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
0.359 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.359 * [taylor]: Taking taylor expansion of (pow y 2) 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
0.359 * [backup-simplify]: Simplify (* 1 1) into 1
0.359 * [backup-simplify]: Simplify (/ 1 1) into 1
0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.359 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.359 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.359 * [taylor]: Taking taylor expansion of x in y
0.359 * [backup-simplify]: Simplify x into x
0.359 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.360 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.360 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.360 * [taylor]: Taking taylor expansion of z in y
0.360 * [backup-simplify]: Simplify z into z
0.360 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.360 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.360 * [backup-simplify]: Simplify (+ 1 0) into 1
0.360 * [backup-simplify]: Simplify (sqrt 1) into 1
0.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.361 * [backup-simplify]: Simplify (+ 0 0) into 0
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.362 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.362 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.362 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.362 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.362 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.362 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.362 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.362 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.362 * [taylor]: Taking taylor expansion of y in x
0.363 * [backup-simplify]: Simplify y into y
0.363 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.363 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.363 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.363 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.363 * [taylor]: Taking taylor expansion of x in x
0.363 * [backup-simplify]: Simplify 0 into 0
0.363 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (* 1 1) into 1
0.363 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.363 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.363 * [taylor]: Taking taylor expansion of z in x
0.363 * [backup-simplify]: Simplify z into z
0.363 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.363 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.364 * [backup-simplify]: Simplify (+ 1 0) into 1
0.364 * [backup-simplify]: Simplify (+ 0 1) into 1
0.364 * [backup-simplify]: Simplify (sqrt 1) into 1
0.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.365 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
0.366 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.366 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.366 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.366 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.367 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
0.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.367 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.367 * [taylor]: Taking taylor expansion of y in x
0.367 * [backup-simplify]: Simplify y into y
0.367 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.367 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.367 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.367 * [taylor]: Taking taylor expansion of x in x
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (* 1 1) into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.367 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.367 * [taylor]: Taking taylor expansion of z in x
0.367 * [backup-simplify]: Simplify z into z
0.368 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.368 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.368 * [backup-simplify]: Simplify (+ 1 0) into 1
0.368 * [backup-simplify]: Simplify (+ 0 1) into 1
0.368 * [backup-simplify]: Simplify (sqrt 1) into 1
0.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 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 (/ 0 (* 2 (sqrt 1))) into 0
0.370 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
0.370 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.370 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.370 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.371 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
0.372 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.372 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.372 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.372 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in y
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.373 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.373 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.373 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.375 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.375 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.376 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
0.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
0.377 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
0.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
0.377 * [taylor]: Taking taylor expansion of 1/2 in y
0.377 * [backup-simplify]: Simplify 1/2 into 1/2
0.377 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
0.377 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.377 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.377 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.378 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.378 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.378 * [taylor]: Taking taylor expansion of z in y
0.378 * [backup-simplify]: Simplify z into z
0.378 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.378 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.378 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
0.378 * [taylor]: Taking taylor expansion of 1/2 in y
0.379 * [backup-simplify]: Simplify 1/2 into 1/2
0.379 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
0.379 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.379 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.379 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.379 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.379 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.379 * [taylor]: Taking taylor expansion of y in y
0.379 * [backup-simplify]: Simplify 0 into 0
0.379 * [backup-simplify]: Simplify 1 into 1
0.380 * [backup-simplify]: Simplify (* 1 1) into 1
0.380 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.383 * [backup-simplify]: Simplify (+ 0 0) into 0
0.383 * [taylor]: Taking taylor expansion of 0 in z
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [taylor]: Taking taylor expansion of 0 in z
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [taylor]: Taking taylor expansion of 0 in z
0.383 * [backup-simplify]: Simplify 0 into 0
0.383 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.385 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
0.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.391 * [taylor]: Taking taylor expansion of 0 in y
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.396 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.397 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
0.397 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
0.397 * [taylor]: Taking taylor expansion of 1/2 in z
0.397 * [backup-simplify]: Simplify 1/2 into 1/2
0.397 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
0.397 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
0.397 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.397 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.397 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.398 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.398 * [taylor]: Taking taylor expansion of z in z
0.398 * [backup-simplify]: Simplify 0 into 0
0.398 * [backup-simplify]: Simplify 1 into 1
0.399 * [backup-simplify]: Simplify (* 1 1) into 1
0.399 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [taylor]: Taking taylor expansion of 0 in z
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.402 * [taylor]: Taking taylor expansion of 0 in z
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify 0 into 0
0.403 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.404 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.404 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.405 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.406 * [backup-simplify]: Simplify (+ 0 0) into 0
0.407 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
0.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
0.409 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
0.409 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
0.409 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
0.409 * [taylor]: Taking taylor expansion of 1/4 in y
0.409 * [backup-simplify]: Simplify 1/4 into 1/4
0.409 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
0.409 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.409 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.409 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.409 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.410 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
0.410 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.410 * [taylor]: Taking taylor expansion of z in y
0.410 * [backup-simplify]: Simplify z into z
0.410 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.410 * [taylor]: Taking taylor expansion of y in y
0.410 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify 1 into 1
0.410 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.410 * [backup-simplify]: Simplify (* 1 1) into 1
0.410 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
0.410 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
0.410 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
0.410 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
0.410 * [taylor]: Taking taylor expansion of 1/8 in y
0.410 * [backup-simplify]: Simplify 1/8 into 1/8
0.410 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
0.410 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.410 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.410 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.411 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.411 * [taylor]: Taking taylor expansion of (pow y 4) in y
0.411 * [taylor]: Taking taylor expansion of y in y
0.411 * [backup-simplify]: Simplify 0 into 0
0.411 * [backup-simplify]: Simplify 1 into 1
0.411 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (* 1 1) into 1
0.412 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
0.412 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
0.412 * [taylor]: Taking taylor expansion of 1/8 in y
0.412 * [backup-simplify]: Simplify 1/8 into 1/8
0.412 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
0.412 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
0.412 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.412 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.413 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
0.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
0.413 * [taylor]: Taking taylor expansion of (pow z 4) in y
0.413 * [taylor]: Taking taylor expansion of z in y
0.413 * [backup-simplify]: Simplify z into z
0.413 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.413 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
0.413 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
0.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.414 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.414 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
0.415 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.416 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.416 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
0.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.424 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.424 * [backup-simplify]: Simplify (+ 0 0) into 0
0.425 * [backup-simplify]: Simplify (+ 0 0) into 0
0.425 * [backup-simplify]: Simplify (- 0) into 0
0.425 * [taylor]: Taking taylor expansion of 0 in z
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [taylor]: Taking taylor expansion of 0 in z
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.426 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
0.426 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
0.427 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.428 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [taylor]: Taking taylor expansion of 0 in z
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [taylor]: Taking taylor expansion of 0 in z
0.429 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
0.430 * [taylor]: Taking taylor expansion of 0 in z
0.430 * [backup-simplify]: Simplify 0 into 0
0.431 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
0.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
0.432 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
0.433 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.433 * [backup-simplify]: Simplify (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) into (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2))))
0.433 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
0.433 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
0.433 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.433 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
0.433 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.433 * [taylor]: Taking taylor expansion of y in z
0.433 * [backup-simplify]: Simplify y into y
0.433 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
0.433 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.433 * [taylor]: Taking taylor expansion of x in z
0.433 * [backup-simplify]: Simplify x into x
0.433 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.433 * [taylor]: Taking taylor expansion of z in z
0.433 * [backup-simplify]: Simplify 0 into 0
0.433 * [backup-simplify]: Simplify 1 into 1
0.433 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
0.433 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.433 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.433 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
0.433 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.433 * [taylor]: Taking taylor expansion of y in y
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
0.434 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.434 * [taylor]: Taking taylor expansion of x in y
0.434 * [backup-simplify]: Simplify x into x
0.434 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.434 * [taylor]: Taking taylor expansion of z in y
0.434 * [backup-simplify]: Simplify z into z
0.434 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.434 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.434 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.434 * [taylor]: Taking taylor expansion of y in x
0.434 * [backup-simplify]: Simplify y into y
0.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.434 * [taylor]: Taking taylor expansion of x in x
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.434 * [taylor]: Taking taylor expansion of z in x
0.434 * [backup-simplify]: Simplify z into z
0.434 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
0.434 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.434 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
0.434 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.434 * [taylor]: Taking taylor expansion of y in x
0.434 * [backup-simplify]: Simplify y into y
0.434 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
0.434 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.434 * [taylor]: Taking taylor expansion of x in x
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.434 * [taylor]: Taking taylor expansion of z in x
0.434 * [backup-simplify]: Simplify z into z
0.434 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.434 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.434 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.434 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
0.434 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2)))
0.434 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y
0.434 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.434 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.434 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
0.435 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.435 * [taylor]: Taking taylor expansion of y in y
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.435 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.435 * [taylor]: Taking taylor expansion of z in y
0.435 * [backup-simplify]: Simplify z into z
0.435 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.435 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
0.435 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
0.435 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
0.435 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.435 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.435 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.435 * [taylor]: Taking taylor expansion of z in z
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.435 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.435 * [backup-simplify]: Simplify (+ 0 0) into 0
0.436 * [backup-simplify]: Simplify (+ 0 0) into 0
0.436 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
0.436 * [taylor]: Taking taylor expansion of 0 in y
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [taylor]: Taking taylor expansion of 0 in z
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.436 * [backup-simplify]: Simplify (+ 0 0) into 0
0.437 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0
0.437 * [taylor]: Taking taylor expansion of 0 in z
0.437 * [backup-simplify]: Simplify 0 into 0
0.437 * [backup-simplify]: Simplify 0 into 0
0.438 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.438 * [backup-simplify]: Simplify (* 1 1) into 1
0.438 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.439 * [backup-simplify]: Simplify (+ 1 0) into 1
0.439 * [backup-simplify]: Simplify (+ 0 1) into 1
0.440 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333
0.440 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.440 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.440 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.440 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.440 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.441 * [taylor]: Taking taylor expansion of 0 in z
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify (* 1 1) into 1
0.442 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.442 * [backup-simplify]: Simplify (+ 1 0) into 1
0.443 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
0.444 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.444 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.444 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify (* 1 1) into 1
0.445 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.445 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.445 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* z (* 1 1)) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* y 1)) 2)) (* 0.3333333333333333 (pow (* 1 (* 1 x)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.446 * [backup-simplify]: Simplify (/ (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.446 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.446 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.446 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.446 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.446 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.446 * [taylor]: Taking taylor expansion of y in z
0.446 * [backup-simplify]: Simplify y into y
0.446 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.446 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.447 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.447 * [taylor]: Taking taylor expansion of x in z
0.447 * [backup-simplify]: Simplify x into x
0.447 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.447 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.447 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.447 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.447 * [taylor]: Taking taylor expansion of z in z
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [backup-simplify]: Simplify 1 into 1
0.447 * [backup-simplify]: Simplify (* 1 1) into 1
0.448 * [backup-simplify]: Simplify (/ 1 1) into 1
0.448 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.448 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.448 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.448 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.448 * [taylor]: Taking taylor expansion of y in y
0.448 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify 1 into 1
0.448 * [backup-simplify]: Simplify (* 1 1) into 1
0.449 * [backup-simplify]: Simplify (/ 1 1) into 1
0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.449 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.449 * [taylor]: Taking taylor expansion of x in y
0.449 * [backup-simplify]: Simplify x into x
0.449 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.449 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.449 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.449 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.449 * [taylor]: Taking taylor expansion of z in y
0.449 * [backup-simplify]: Simplify z into z
0.449 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.449 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.449 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.449 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.449 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.450 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.450 * [taylor]: Taking taylor expansion of y in x
0.450 * [backup-simplify]: Simplify y into y
0.450 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.450 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.450 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.450 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.450 * [taylor]: Taking taylor expansion of x in x
0.450 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify 1 into 1
0.450 * [backup-simplify]: Simplify (* 1 1) into 1
0.451 * [backup-simplify]: Simplify (/ 1 1) into 1
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.451 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.451 * [taylor]: Taking taylor expansion of z in x
0.451 * [backup-simplify]: Simplify z into z
0.451 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.451 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.451 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.451 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.451 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.451 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.451 * [taylor]: Taking taylor expansion of y in x
0.451 * [backup-simplify]: Simplify y into y
0.451 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.451 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.451 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.452 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.452 * [taylor]: Taking taylor expansion of x in x
0.452 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify 1 into 1
0.452 * [backup-simplify]: Simplify (* 1 1) into 1
0.452 * [backup-simplify]: Simplify (/ 1 1) into 1
0.452 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.452 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.452 * [taylor]: Taking taylor expansion of z in x
0.452 * [backup-simplify]: Simplify z into z
0.453 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.453 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.453 * [backup-simplify]: Simplify (+ 1 0) into 1
0.454 * [backup-simplify]: Simplify (+ 0 1) into 1
0.454 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.454 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.454 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.456 * [backup-simplify]: Simplify (+ 0 0) into 0
0.457 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.457 * [taylor]: Taking taylor expansion of 0 in y
0.457 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.459 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.460 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.461 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2))))
0.461 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
0.461 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.461 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.461 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.461 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.461 * [taylor]: Taking taylor expansion of y in y
0.461 * [backup-simplify]: Simplify 0 into 0
0.461 * [backup-simplify]: Simplify 1 into 1
0.461 * [backup-simplify]: Simplify (* 1 1) into 1
0.462 * [backup-simplify]: Simplify (/ 1 1) into 1
0.462 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.462 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.462 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.462 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.462 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.462 * [taylor]: Taking taylor expansion of z in y
0.462 * [backup-simplify]: Simplify z into z
0.462 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.462 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.463 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.463 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.463 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.463 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.463 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.463 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.463 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.465 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.466 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.466 * [backup-simplify]: Simplify (+ 0 0) into 0
0.467 * [backup-simplify]: Simplify (+ 0 0) into 0
0.468 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.468 * [taylor]: Taking taylor expansion of 0 in y
0.468 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.470 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.471 * [backup-simplify]: Simplify (+ 0 0) into 0
0.471 * [taylor]: Taking taylor expansion of 0 in z
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [taylor]: Taking taylor expansion of 0 in z
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [taylor]: Taking taylor expansion of 0 in z
0.471 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.472 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.475 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.476 * [backup-simplify]: Simplify (+ 0 0) into 0
0.476 * [backup-simplify]: Simplify (+ 0 0) into 0
0.478 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.478 * [taylor]: Taking taylor expansion of 0 in y
0.478 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.481 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.481 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.481 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.481 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.481 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.481 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.481 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.481 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.481 * [taylor]: Taking taylor expansion of z in z
0.481 * [backup-simplify]: Simplify 0 into 0
0.481 * [backup-simplify]: Simplify 1 into 1
0.482 * [backup-simplify]: Simplify (* 1 1) into 1
0.482 * [backup-simplify]: Simplify (/ 1 1) into 1
0.483 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.483 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.483 * [taylor]: Taking taylor expansion of 0 in z
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [taylor]: Taking taylor expansion of 0 in z
0.483 * [backup-simplify]: Simplify 0 into 0
0.483 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.483 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.484 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.485 * [backup-simplify]: Simplify (/ (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))) 3.0) into (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
0.485 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
0.485 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
0.485 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.485 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
0.485 * [taylor]: Taking taylor expansion of (pow y 2) in z
0.485 * [taylor]: Taking taylor expansion of y in z
0.485 * [backup-simplify]: Simplify y into y
0.485 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.485 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.485 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
0.485 * [taylor]: Taking taylor expansion of (pow x 2) in z
0.485 * [taylor]: Taking taylor expansion of x in z
0.485 * [backup-simplify]: Simplify x into x
0.485 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.485 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.485 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.486 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.486 * [taylor]: Taking taylor expansion of z in z
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify 1 into 1
0.486 * [backup-simplify]: Simplify (* 1 1) into 1
0.487 * [backup-simplify]: Simplify (/ 1 1) into 1
0.487 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
0.487 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.487 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
0.487 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.487 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.487 * [taylor]: Taking taylor expansion of y in y
0.487 * [backup-simplify]: Simplify 0 into 0
0.487 * [backup-simplify]: Simplify 1 into 1
0.487 * [backup-simplify]: Simplify (* 1 1) into 1
0.488 * [backup-simplify]: Simplify (/ 1 1) into 1
0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
0.488 * [taylor]: Taking taylor expansion of (pow x 2) in y
0.488 * [taylor]: Taking taylor expansion of x in y
0.488 * [backup-simplify]: Simplify x into x
0.488 * [backup-simplify]: Simplify (* x x) into (pow x 2)
0.488 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.488 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.488 * [taylor]: Taking taylor expansion of z in y
0.488 * [backup-simplify]: Simplify z into z
0.488 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.488 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.488 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.488 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.488 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.488 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.489 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.489 * [taylor]: Taking taylor expansion of y in x
0.489 * [backup-simplify]: Simplify y into y
0.489 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.489 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.489 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.489 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.489 * [taylor]: Taking taylor expansion of x in x
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [backup-simplify]: Simplify 1 into 1
0.489 * [backup-simplify]: Simplify (* 1 1) into 1
0.490 * [backup-simplify]: Simplify (/ 1 1) into 1
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.490 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.490 * [taylor]: Taking taylor expansion of z in x
0.490 * [backup-simplify]: Simplify z into z
0.490 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.490 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.490 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
0.490 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
0.490 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
0.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
0.490 * [taylor]: Taking taylor expansion of (pow y 2) in x
0.490 * [taylor]: Taking taylor expansion of y in x
0.490 * [backup-simplify]: Simplify y into y
0.490 * [backup-simplify]: Simplify (* y y) into (pow y 2)
0.491 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
0.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
0.491 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
0.491 * [taylor]: Taking taylor expansion of (pow x 2) in x
0.491 * [taylor]: Taking taylor expansion of x in x
0.491 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify 1 into 1
0.491 * [backup-simplify]: Simplify (* 1 1) into 1
0.492 * [backup-simplify]: Simplify (/ 1 1) into 1
0.492 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
0.492 * [taylor]: Taking taylor expansion of (pow z 2) in x
0.492 * [taylor]: Taking taylor expansion of z in x
0.492 * [backup-simplify]: Simplify z into z
0.492 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.492 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.492 * [backup-simplify]: Simplify (+ 1 0) into 1
0.493 * [backup-simplify]: Simplify (+ 0 1) into 1
0.493 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.493 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.493 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.495 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (+ 0 0) into 0
0.496 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.496 * [taylor]: Taking taylor expansion of 0 in y
0.496 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.499 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
0.499 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
0.500 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2))))
0.500 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
0.500 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
0.500 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.500 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
0.500 * [taylor]: Taking taylor expansion of (pow y 2) in y
0.500 * [taylor]: Taking taylor expansion of y in y
0.500 * [backup-simplify]: Simplify 0 into 0
0.500 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (* 1 1) into 1
0.501 * [backup-simplify]: Simplify (/ 1 1) into 1
0.501 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
0.501 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
0.501 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.501 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
0.501 * [taylor]: Taking taylor expansion of (pow z 2) in y
0.501 * [taylor]: Taking taylor expansion of z in y
0.501 * [backup-simplify]: Simplify z into z
0.501 * [backup-simplify]: Simplify (* z z) into (pow z 2)
0.501 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
0.501 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.502 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
0.502 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.502 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.502 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.502 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.502 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
0.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
0.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.505 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
0.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.506 * [backup-simplify]: Simplify (+ 0 0) into 0
0.507 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
0.507 * [taylor]: Taking taylor expansion of 0 in y
0.507 * [backup-simplify]: Simplify 0 into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
0.510 * [backup-simplify]: Simplify (+ 0 0) into 0
0.510 * [taylor]: Taking taylor expansion of 0 in z
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [taylor]: Taking taylor expansion of 0 in z
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [taylor]: Taking taylor expansion of 0 in z
0.510 * [backup-simplify]: Simplify 0 into 0
0.511 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
0.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
0.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
0.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
0.514 * [backup-simplify]: Simplify (+ 0 0) into 0
0.515 * [backup-simplify]: Simplify (+ 0 0) into 0
0.516 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
0.516 * [taylor]: Taking taylor expansion of 0 in y
0.516 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.519 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
0.519 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
0.520 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
0.520 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
0.520 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
0.520 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
0.520 * [taylor]: Taking taylor expansion of (pow z 2) in z
0.520 * [taylor]: Taking taylor expansion of z in z
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (* 1 1) into 1
0.521 * [backup-simplify]: Simplify (/ 1 1) into 1
0.521 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
0.521 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.521 * [taylor]: Taking taylor expansion of 0 in z
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [taylor]: Taking taylor expansion of 0 in z
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.521 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
0.522 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.523 * * * [progress]: simplifying candidates
0.523 * * * * [progress]: [ 1 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) 1/2))>
0.523 * * * * [progress]: [ 2 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) 1))>
0.523 * * * * [progress]: [ 3 / 62 ] simplifiying candidate #<alt (λ (x y z) (exp (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.523 * * * * [progress]: [ 4 / 62 ] simplifiying candidate #<alt (λ (x y z) (log (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.523 * * * * [progress]: [ 5 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.523 * * * * [progress]: [ 6 / 62 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.523 * * * * [progress]: [ 7 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))) (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.523 * * * * [progress]: [ 8 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.523 * * * * [progress]: [ 9 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
0.523 * * * * [progress]: [ 10 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
0.523 * * * * [progress]: [ 11 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.523 * * * * [progress]: [ 12 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
0.523 * * * * [progress]: [ 13 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
0.524 * * * * [progress]: [ 14 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.524 * * * * [progress]: [ 15 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))))>
0.524 * * * * [progress]: [ 16 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)))))>
0.524 * * * * [progress]: [ 17 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ 1 1)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.524 * * * * [progress]: [ 18 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt 1) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.524 * * * * [progress]: [ 19 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (/ 1 3.0))))>
0.524 * * * * [progress]: [ 20 / 62 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))>
0.524 * * * * [progress]: [ 21 / 62 ] simplifiying candidate #<alt (λ (x y z) (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ 1 2)))>
0.524 * * * * [progress]: [ 22 / 62 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.524 * * * * [progress]: [ 23 / 62 ] simplifiying candidate #<alt (λ (x y z) (fabs (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.524 * * * * [progress]: [ 24 / 62 ] simplifiying candidate #<alt (λ (x y z) (fabs (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))))>
0.524 * * * * [progress]: [ 25 / 62 ] simplifiying candidate #<alt (λ (x y z) (* 1 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.524 * * * * [progress]: [ 26 / 62 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.524 * * * * [progress]: [ 27 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (pow (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) 1)))>
0.524 * * * * [progress]: [ 28 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0)))))>
0.525 * * * * [progress]: [ 29 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.525 * * * * [progress]: [ 30 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (log (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.525 * * * * [progress]: [ 31 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0)))))>
0.525 * * * * [progress]: [ 32 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.525 * * * * [progress]: [ 33 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.525 * * * * [progress]: [ 34 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.525 * * * * [progress]: [ 35 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (- (+ (+ (* x x) (* y y)) (* z z))) (- 3.0))))>
0.525 * * * * [progress]: [ 36 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
0.525 * * * * [progress]: [ 37 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
0.525 * * * * [progress]: [ 38 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.525 * * * * [progress]: [ 39 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
0.525 * * * * [progress]: [ 40 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
0.525 * * * * [progress]: [ 41 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
0.525 * * * * [progress]: [ 42 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 (* (cbrt 3.0) (cbrt 3.0))) (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))))>
0.526 * * * * [progress]: [ 43 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 (sqrt 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)))))>
0.526 * * * * [progress]: [ 44 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 1) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.526 * * * * [progress]: [ 45 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* 1 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))>
0.526 * * * * [progress]: [ 46 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (+ (+ (* x x) (* y y)) (* z z)) (/ 1 3.0))))>
0.526 * * * * [progress]: [ 47 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ 1 (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))))))>
0.526 * * * * [progress]: [ 48 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))))>
0.526 * * * * [progress]: [ 49 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)) (sqrt 3.0))))>
0.526 * * * * [progress]: [ 50 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (/ (+ (+ (* x x) (* y y)) (* z z)) 1) 3.0)))>
0.526 * * * * [progress]: [ 51 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z)))))))>
0.526 * * * * [progress]: [ 52 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z)))))))>
0.526 * * * * [progress]: [ 53 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ 1 (/ 3.0 (+ (+ (* x x) (* y y)) (* z z))))))>
0.526 * * * * [progress]: [ 54 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)) (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z))))))))>
0.526 * * * * [progress]: [ 55 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))) (* 3.0 (- (+ (* x x) (* y y)) (* z z))))))>
0.526 * * * * [progress]: [ 56 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (posit16->real (real->posit16 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))))>
0.526 * * * * [progress]: [ 57 / 62 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
0.526 * * * * [progress]: [ 58 / 62 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
0.527 * * * * [progress]: [ 59 / 62 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
0.527 * * * * [progress]: [ 60 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
0.527 * * * * [progress]: [ 61 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
0.527 * * * * [progress]: [ 62 / 62 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
0.528 * [simplify]: Simplifying:
  (log (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (exp (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (* (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))
  (cbrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (* (* (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))))
  (sqrt (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1))
  (sqrt (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0)))
  (sqrt (/ 1 1))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt 1)
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (/ 1 3.0))
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt 3.0)
  (/ 1 2)
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (real->posit16 (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (- (log (+ (+ (* x x) (* y y)) (* z z))) (log 3.0))
  (log (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (exp (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (/ (* (* (+ (+ (* x x) (* y y)) (* z z)) (+ (+ (* x x) (* y y)) (* z z))) (+ (+ (* x x) (* y y)) (* z z))) (* (* 3.0 3.0) 3.0))
  (* (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))
  (cbrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (* (* (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (- (+ (+ (* x x) (* y y)) (* z z)))
  (- 3.0)
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1)
  (/ (cbrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)
  (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)
  (/ 1 (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (cbrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))
  (/ 1 1)
  (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
  (/ 1 3.0)
  (/ 3.0 (+ (+ (* x x) (* y y)) (* z z)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* x x) (* y y)) (* z z)) (sqrt 3.0))
  (/ (+ (+ (* x x) (* y y)) (* z z)) 1)
  (/ 3.0 (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ 3.0 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (/ 3.0 (+ (+ (* x x) (* y y)) (* z z)))
  (* 3.0 (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (* 3.0 (- (+ (* x x) (* y y)) (* z z)))
  (real->posit16 (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
0.531 * * [simplify]: iteration 0: 109 enodes
0.581 * * [simplify]: iteration 1: 219 enodes
0.691 * * [simplify]: iteration 2: 651 enodes
1.073 * * [simplify]: iteration 3: 3007 enodes
2.100 * * [simplify]: iteration complete: 5008 enodes
2.100 * * [simplify]: Extracting #0: cost 65 inf + 0
2.101 * * [simplify]: Extracting #1: cost 322 inf + 2
2.103 * * [simplify]: Extracting #2: cost 779 inf + 1856
2.110 * * [simplify]: Extracting #3: cost 1622 inf + 14748
2.132 * * [simplify]: Extracting #4: cost 1323 inf + 117038
2.262 * * [simplify]: Extracting #5: cost 298 inf + 412783
2.405 * * [simplify]: Extracting #6: cost 18 inf + 509431
2.559 * * [simplify]: Extracting #7: cost 0 inf + 517610
2.695 * [simplify]: Simplified to:
  (log (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (exp (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (* (cbrt (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))) (cbrt (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))))
  (cbrt (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (* (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)) (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (fabs (cbrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (sqrt (cbrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (fabs (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt 3.0)))
  (sqrt (/ (* (cbrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt (+ (+ (* z z) (* y y)) (* x x)))) (sqrt 3.0)))
  (sqrt (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) (sqrt 3.0)))
  (fabs (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) 3.0))
  (sqrt (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) (* (cbrt 3.0) (cbrt 3.0))))
  (sqrt (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) (sqrt 3.0)))
  (sqrt (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) (sqrt 3.0)))
  (sqrt (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (sqrt (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) 3.0))
  (sqrt (/ (/ 1 (cbrt 3.0)) (cbrt 3.0)))
  (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) (cbrt 3.0)))
  (sqrt (/ 1 (sqrt 3.0)))
  (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) (sqrt 3.0)))
  1
  (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  1
  (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (sqrt (/ 1 3.0))
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (sqrt 3.0)
  1/2
  (sqrt (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (sqrt (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (real->posit16 (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (log (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (log (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (exp (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (* (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0) (* (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0) (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (* (cbrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)) (cbrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (cbrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (* (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0) (* (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0) (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)))
  (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (sqrt (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (- (+ (+ (* y y) (* x x)) (* z z)))
  (- 3.0)
  (* (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt 3.0)) (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt 3.0)))
  (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt 3.0))
  (/ (* (cbrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt (+ (+ (* z z) (* y y)) (* x x)))) (sqrt 3.0))
  (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) (sqrt 3.0))
  (* (cbrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (/ (cbrt (+ (+ (* z z) (* y y)) (* x x))) 3.0)
  (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) (cbrt 3.0))
  (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) (sqrt 3.0))
  (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) (sqrt 3.0))
  (sqrt (+ (+ (* z z) (* y y)) (* x x)))
  (/ (sqrt (+ (+ (* z z) (* y y)) (* x x))) 3.0)
  (/ (/ 1 (cbrt 3.0)) (cbrt 3.0))
  (/ (+ (+ (* z z) (* y y)) (* x x)) (cbrt 3.0))
  (/ 1 (sqrt 3.0))
  (/ (+ (+ (* z z) (* y y)) (* x x)) (sqrt 3.0))
  1
  (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0)
  (/ 1 3.0)
  (/ 3.0 (+ (+ (* z z) (* y y)) (* x x)))
  (/ (+ (+ (* z z) (* y y)) (* x x)) (* (cbrt 3.0) (cbrt 3.0)))
  (/ (+ (+ (* z z) (* y y)) (* x x)) (sqrt 3.0))
  (+ (+ (* z z) (* y y)) (* x x))
  (/ 3.0 (cbrt (+ (+ (* z z) (* y y)) (* x x))))
  (/ 3.0 (sqrt (+ (+ (* z z) (* y y)) (* x x))))
  (/ 3.0 (+ (+ (* z z) (* y y)) (* x x)))
  (* (+ (* (+ (* y y) (* x x)) (- (+ (* y y) (* x x)) (* z z))) (* (* z z) (* z z))) 3.0)
  (* (- (+ (* y y) (* x x)) (* z z)) 3.0)
  (real->posit16 (/ (+ (+ (* z z) (* y y)) (* x x)) 3.0))
  (* z (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) x)
  (* (- (sqrt 0.3333333333333333)) x)
  (* 0.3333333333333333 (+ (+ (* z z) (* y y)) (* x x)))
  (* 0.3333333333333333 (+ (+ (* z z) (* y y)) (* x x)))
  (* 0.3333333333333333 (+ (+ (* z z) (* y y)) (* x x)))
2.699 * * * [progress]: adding candidates to table
3.012 * * [progress]: iteration 2 / 4
3.012 * * * [progress]: picking best candidate
3.035 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.035 * * * [progress]: localizing error
3.096 * * * [progress]: generating rewritten candidates
3.096 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
3.142 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1)
3.182 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.212 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.362 * * * [progress]: generating series expansions
3.362 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
3.362 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.362 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
3.362 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.362 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.362 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.362 * [taylor]: Taking taylor expansion of y in z
3.362 * [backup-simplify]: Simplify y into y
3.362 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.362 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.362 * [taylor]: Taking taylor expansion of x in z
3.362 * [backup-simplify]: Simplify x into x
3.362 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.362 * [taylor]: Taking taylor expansion of z in z
3.362 * [backup-simplify]: Simplify 0 into 0
3.362 * [backup-simplify]: Simplify 1 into 1
3.362 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.362 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.362 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.362 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.362 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.362 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.363 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [backup-simplify]: Simplify (+ 0 0) into 0
3.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.363 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.363 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.364 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.364 * [taylor]: Taking taylor expansion of y in y
3.364 * [backup-simplify]: Simplify 0 into 0
3.364 * [backup-simplify]: Simplify 1 into 1
3.364 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.364 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.364 * [taylor]: Taking taylor expansion of x in y
3.364 * [backup-simplify]: Simplify x into x
3.364 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.364 * [taylor]: Taking taylor expansion of z in y
3.364 * [backup-simplify]: Simplify z into z
3.364 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.364 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.364 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.364 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.364 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.364 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.364 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.364 * [backup-simplify]: Simplify (+ 0 0) into 0
3.365 * [backup-simplify]: Simplify (+ 0 0) into 0
3.365 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.365 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.365 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.365 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.365 * [taylor]: Taking taylor expansion of y in x
3.365 * [backup-simplify]: Simplify y into y
3.365 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.365 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.365 * [taylor]: Taking taylor expansion of x in x
3.365 * [backup-simplify]: Simplify 0 into 0
3.365 * [backup-simplify]: Simplify 1 into 1
3.365 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.365 * [taylor]: Taking taylor expansion of z in x
3.365 * [backup-simplify]: Simplify z into z
3.365 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.365 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.365 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.366 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.366 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.366 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.366 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.366 * [backup-simplify]: Simplify (+ 0 0) into 0
3.367 * [backup-simplify]: Simplify (+ 0 0) into 0
3.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.367 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.367 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.367 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.367 * [taylor]: Taking taylor expansion of y in x
3.367 * [backup-simplify]: Simplify y into y
3.367 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.367 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.367 * [taylor]: Taking taylor expansion of x in x
3.367 * [backup-simplify]: Simplify 0 into 0
3.367 * [backup-simplify]: Simplify 1 into 1
3.367 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.367 * [taylor]: Taking taylor expansion of z in x
3.367 * [backup-simplify]: Simplify z into z
3.367 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.368 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.368 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.368 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.368 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.368 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.368 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [backup-simplify]: Simplify (+ 0 0) into 0
3.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.369 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.369 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.369 * [taylor]: Taking taylor expansion of y in y
3.369 * [backup-simplify]: Simplify 0 into 0
3.369 * [backup-simplify]: Simplify 1 into 1
3.369 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.369 * [taylor]: Taking taylor expansion of z in y
3.369 * [backup-simplify]: Simplify z into z
3.369 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.369 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.369 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.369 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.370 * [backup-simplify]: Simplify (+ 0 0) into 0
3.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.370 * [taylor]: Taking taylor expansion of z in z
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 1 into 1
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [taylor]: Taking taylor expansion of 0 in y
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [taylor]: Taking taylor expansion of 0 in z
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [taylor]: Taking taylor expansion of 0 in z
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 0 into 0
3.370 * [backup-simplify]: Simplify 1 into 1
3.370 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.371 * [backup-simplify]: Simplify (* 1 1) into 1
3.371 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.371 * [backup-simplify]: Simplify (+ 1 0) into 1
3.371 * [backup-simplify]: Simplify (+ 0 1) into 1
3.372 * [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)))))
3.372 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
3.372 * [taylor]: Taking taylor expansion of 1/2 in y
3.372 * [backup-simplify]: Simplify 1/2 into 1/2
3.372 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.372 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.372 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.372 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.372 * [taylor]: Taking taylor expansion of y in y
3.372 * [backup-simplify]: Simplify 0 into 0
3.372 * [backup-simplify]: Simplify 1 into 1
3.372 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.372 * [taylor]: Taking taylor expansion of z in y
3.372 * [backup-simplify]: Simplify z into z
3.372 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.372 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.372 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.372 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.372 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.373 * [backup-simplify]: Simplify (+ 0 0) into 0
3.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.373 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
3.373 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.373 * [taylor]: Taking taylor expansion of 1/2 in z
3.373 * [backup-simplify]: Simplify 1/2 into 1/2
3.373 * [taylor]: Taking taylor expansion of z in z
3.373 * [backup-simplify]: Simplify 0 into 0
3.373 * [backup-simplify]: Simplify 1 into 1
3.373 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [taylor]: Taking taylor expansion of 0 in z
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify 0 into 0
3.374 * [backup-simplify]: Simplify (* 1 1) into 1
3.374 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.375 * [backup-simplify]: Simplify (+ 1 0) into 1
3.375 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.375 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.375 * [taylor]: Taking taylor expansion of 1/2 in z
3.375 * [backup-simplify]: Simplify 1/2 into 1/2
3.375 * [taylor]: Taking taylor expansion of z in z
3.375 * [backup-simplify]: Simplify 0 into 0
3.375 * [backup-simplify]: Simplify 1 into 1
3.376 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.376 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
3.377 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.377 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.377 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.377 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.377 * [taylor]: Taking taylor expansion of y in z
3.377 * [backup-simplify]: Simplify y into y
3.377 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.377 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.377 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.377 * [taylor]: Taking taylor expansion of x in z
3.377 * [backup-simplify]: Simplify x into x
3.377 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.377 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.377 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.377 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.377 * [taylor]: Taking taylor expansion of z in z
3.377 * [backup-simplify]: Simplify 0 into 0
3.377 * [backup-simplify]: Simplify 1 into 1
3.377 * [backup-simplify]: Simplify (* 1 1) into 1
3.378 * [backup-simplify]: Simplify (/ 1 1) into 1
3.378 * [backup-simplify]: Simplify (+ 0 1) into 1
3.378 * [backup-simplify]: Simplify (+ 0 1) into 1
3.378 * [backup-simplify]: Simplify (sqrt 1) into 1
3.379 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.380 * [backup-simplify]: Simplify (+ 0 0) into 0
3.380 * [backup-simplify]: Simplify (+ 0 0) into 0
3.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.380 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.380 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.380 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.380 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.380 * [taylor]: Taking taylor expansion of y in y
3.380 * [backup-simplify]: Simplify 0 into 0
3.380 * [backup-simplify]: Simplify 1 into 1
3.381 * [backup-simplify]: Simplify (* 1 1) into 1
3.381 * [backup-simplify]: Simplify (/ 1 1) into 1
3.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.381 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.381 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.381 * [taylor]: Taking taylor expansion of x in y
3.381 * [backup-simplify]: Simplify x into x
3.381 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.381 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.381 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.381 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.381 * [taylor]: Taking taylor expansion of z in y
3.381 * [backup-simplify]: Simplify z into z
3.381 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.381 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.381 * [backup-simplify]: Simplify (+ 1 0) into 1
3.382 * [backup-simplify]: Simplify (sqrt 1) into 1
3.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.383 * [backup-simplify]: Simplify (+ 0 0) into 0
3.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.383 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.383 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.383 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.383 * [taylor]: Taking taylor expansion of y in x
3.383 * [backup-simplify]: Simplify y into y
3.383 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.383 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.383 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.383 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.383 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.383 * [taylor]: Taking taylor expansion of x in x
3.383 * [backup-simplify]: Simplify 0 into 0
3.383 * [backup-simplify]: Simplify 1 into 1
3.384 * [backup-simplify]: Simplify (* 1 1) into 1
3.384 * [backup-simplify]: Simplify (/ 1 1) into 1
3.384 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.384 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.384 * [taylor]: Taking taylor expansion of z in x
3.384 * [backup-simplify]: Simplify z into z
3.384 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.384 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.384 * [backup-simplify]: Simplify (+ 1 0) into 1
3.385 * [backup-simplify]: Simplify (+ 0 1) into 1
3.385 * [backup-simplify]: Simplify (sqrt 1) into 1
3.385 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.386 * [backup-simplify]: Simplify (+ 0 0) into 0
3.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.387 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.387 * [taylor]: Taking taylor expansion of y in x
3.387 * [backup-simplify]: Simplify y into y
3.387 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.387 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.387 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.387 * [taylor]: Taking taylor expansion of x in x
3.387 * [backup-simplify]: Simplify 0 into 0
3.387 * [backup-simplify]: Simplify 1 into 1
3.387 * [backup-simplify]: Simplify (* 1 1) into 1
3.387 * [backup-simplify]: Simplify (/ 1 1) into 1
3.387 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.387 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.387 * [taylor]: Taking taylor expansion of z in x
3.387 * [backup-simplify]: Simplify z into z
3.387 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.388 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.388 * [backup-simplify]: Simplify (+ 1 0) into 1
3.388 * [backup-simplify]: Simplify (+ 0 1) into 1
3.388 * [backup-simplify]: Simplify (sqrt 1) into 1
3.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.389 * [backup-simplify]: Simplify (+ 0 0) into 0
3.390 * [backup-simplify]: Simplify (+ 0 0) into 0
3.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.390 * [taylor]: Taking taylor expansion of 1 in y
3.390 * [backup-simplify]: Simplify 1 into 1
3.390 * [taylor]: Taking taylor expansion of 0 in y
3.390 * [backup-simplify]: Simplify 0 into 0
3.390 * [taylor]: Taking taylor expansion of 1 in z
3.390 * [backup-simplify]: Simplify 1 into 1
3.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.392 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.392 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.393 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
3.393 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.393 * [taylor]: Taking taylor expansion of 1/2 in y
3.393 * [backup-simplify]: Simplify 1/2 into 1/2
3.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.393 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.393 * [taylor]: Taking taylor expansion of y in y
3.393 * [backup-simplify]: Simplify 0 into 0
3.393 * [backup-simplify]: Simplify 1 into 1
3.393 * [backup-simplify]: Simplify (* 1 1) into 1
3.393 * [backup-simplify]: Simplify (/ 1 1) into 1
3.393 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.393 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.393 * [taylor]: Taking taylor expansion of z in y
3.393 * [backup-simplify]: Simplify z into z
3.393 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.393 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.395 * [backup-simplify]: Simplify (+ 0 0) into 0
3.395 * [backup-simplify]: Simplify (+ 1 0) into 1
3.395 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.395 * [taylor]: Taking taylor expansion of 0 in z
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [taylor]: Taking taylor expansion of 0 in z
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [taylor]: Taking taylor expansion of 0 in z
3.395 * [backup-simplify]: Simplify 0 into 0
3.395 * [backup-simplify]: Simplify 1 into 1
3.395 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.397 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.397 * [backup-simplify]: Simplify (+ 0 0) into 0
3.398 * [backup-simplify]: Simplify (+ 0 0) into 0
3.398 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.398 * [taylor]: Taking taylor expansion of 0 in y
3.398 * [backup-simplify]: Simplify 0 into 0
3.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.401 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.401 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.401 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.401 * [taylor]: Taking taylor expansion of 1/2 in z
3.401 * [backup-simplify]: Simplify 1/2 into 1/2
3.402 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.402 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.402 * [taylor]: Taking taylor expansion of z in z
3.402 * [backup-simplify]: Simplify 0 into 0
3.402 * [backup-simplify]: Simplify 1 into 1
3.402 * [backup-simplify]: Simplify (* 1 1) into 1
3.402 * [backup-simplify]: Simplify (/ 1 1) into 1
3.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [taylor]: Taking taylor expansion of 0 in z
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [taylor]: Taking taylor expansion of 0 in z
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.405 * [backup-simplify]: Simplify 0 into 0
3.406 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.409 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.409 * [backup-simplify]: Simplify (+ 0 0) into 0
3.410 * [backup-simplify]: Simplify (+ 0 0) into 0
3.411 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
3.411 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
3.412 * [taylor]: Taking taylor expansion of -1/2 in y
3.412 * [backup-simplify]: Simplify -1/2 into -1/2
3.412 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
3.412 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.412 * [taylor]: Taking taylor expansion of 1/2 in y
3.412 * [backup-simplify]: Simplify 1/2 into 1/2
3.412 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.412 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.412 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.412 * [taylor]: Taking taylor expansion of z in y
3.412 * [backup-simplify]: Simplify z into z
3.412 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.412 * [taylor]: Taking taylor expansion of y in y
3.412 * [backup-simplify]: Simplify 0 into 0
3.412 * [backup-simplify]: Simplify 1 into 1
3.412 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.412 * [backup-simplify]: Simplify (* 1 1) into 1
3.412 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.413 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.413 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.413 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.413 * [taylor]: Taking taylor expansion of 1/4 in y
3.413 * [backup-simplify]: Simplify 1/4 into 1/4
3.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.413 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.413 * [taylor]: Taking taylor expansion of y in y
3.413 * [backup-simplify]: Simplify 0 into 0
3.413 * [backup-simplify]: Simplify 1 into 1
3.413 * [backup-simplify]: Simplify (* 1 1) into 1
3.414 * [backup-simplify]: Simplify (* 1 1) into 1
3.414 * [backup-simplify]: Simplify (/ 1 1) into 1
3.414 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.414 * [taylor]: Taking taylor expansion of 1/4 in y
3.414 * [backup-simplify]: Simplify 1/4 into 1/4
3.414 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.414 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.414 * [taylor]: Taking taylor expansion of z in y
3.414 * [backup-simplify]: Simplify z into z
3.414 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.414 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.414 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.415 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.416 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.416 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.425 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.426 * [backup-simplify]: Simplify (+ 0 0) into 0
3.426 * [backup-simplify]: Simplify (+ 0 0) into 0
3.426 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.426 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.427 * [backup-simplify]: Simplify (+ 0 0) into 0
3.427 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.427 * [backup-simplify]: Simplify (+ 0 0) into 0
3.428 * [backup-simplify]: Simplify (+ 0 0) into 0
3.428 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.428 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.429 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.429 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.429 * [taylor]: Taking taylor expansion of 0 in z
3.429 * [backup-simplify]: Simplify 0 into 0
3.429 * [taylor]: Taking taylor expansion of 0 in z
3.429 * [backup-simplify]: Simplify 0 into 0
3.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.431 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.431 * [backup-simplify]: Simplify (+ 0 0) into 0
3.432 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.432 * [taylor]: Taking taylor expansion of 0 in z
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [taylor]: Taking taylor expansion of 0 in z
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [taylor]: Taking taylor expansion of 0 in z
3.432 * [backup-simplify]: Simplify 0 into 0
3.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.433 * [backup-simplify]: Simplify 0 into 0
3.433 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.434 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.434 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.434 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.434 * [taylor]: Taking taylor expansion of y in z
3.434 * [backup-simplify]: Simplify y into y
3.434 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.434 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.434 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.434 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.434 * [taylor]: Taking taylor expansion of x in z
3.434 * [backup-simplify]: Simplify x into x
3.434 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.434 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.434 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.434 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.434 * [taylor]: Taking taylor expansion of z in z
3.434 * [backup-simplify]: Simplify 0 into 0
3.434 * [backup-simplify]: Simplify 1 into 1
3.434 * [backup-simplify]: Simplify (* 1 1) into 1
3.435 * [backup-simplify]: Simplify (/ 1 1) into 1
3.435 * [backup-simplify]: Simplify (+ 0 1) into 1
3.435 * [backup-simplify]: Simplify (+ 0 1) into 1
3.435 * [backup-simplify]: Simplify (sqrt 1) into 1
3.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.437 * [backup-simplify]: Simplify (+ 0 0) into 0
3.437 * [backup-simplify]: Simplify (+ 0 0) into 0
3.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.437 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.437 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.437 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.437 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.437 * [taylor]: Taking taylor expansion of y in y
3.437 * [backup-simplify]: Simplify 0 into 0
3.437 * [backup-simplify]: Simplify 1 into 1
3.438 * [backup-simplify]: Simplify (* 1 1) into 1
3.438 * [backup-simplify]: Simplify (/ 1 1) into 1
3.438 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.438 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.438 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.438 * [taylor]: Taking taylor expansion of x in y
3.438 * [backup-simplify]: Simplify x into x
3.438 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.438 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.438 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.438 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.438 * [taylor]: Taking taylor expansion of z in y
3.438 * [backup-simplify]: Simplify z into z
3.438 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.438 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.438 * [backup-simplify]: Simplify (+ 1 0) into 1
3.439 * [backup-simplify]: Simplify (sqrt 1) into 1
3.439 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.440 * [backup-simplify]: Simplify (+ 0 0) into 0
3.440 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.440 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.440 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.440 * [taylor]: Taking taylor expansion of y in x
3.440 * [backup-simplify]: Simplify y into y
3.440 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.440 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.440 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.440 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.440 * [taylor]: Taking taylor expansion of x in x
3.440 * [backup-simplify]: Simplify 0 into 0
3.440 * [backup-simplify]: Simplify 1 into 1
3.441 * [backup-simplify]: Simplify (* 1 1) into 1
3.441 * [backup-simplify]: Simplify (/ 1 1) into 1
3.441 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.441 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.441 * [taylor]: Taking taylor expansion of z in x
3.441 * [backup-simplify]: Simplify z into z
3.441 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.441 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.442 * [backup-simplify]: Simplify (+ 1 0) into 1
3.442 * [backup-simplify]: Simplify (+ 0 1) into 1
3.442 * [backup-simplify]: Simplify (sqrt 1) into 1
3.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.443 * [backup-simplify]: Simplify (+ 0 0) into 0
3.443 * [backup-simplify]: Simplify (+ 0 0) into 0
3.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.444 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.444 * [taylor]: Taking taylor expansion of y in x
3.444 * [backup-simplify]: Simplify y into y
3.444 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.444 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.444 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.444 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.444 * [taylor]: Taking taylor expansion of x in x
3.444 * [backup-simplify]: Simplify 0 into 0
3.444 * [backup-simplify]: Simplify 1 into 1
3.444 * [backup-simplify]: Simplify (* 1 1) into 1
3.445 * [backup-simplify]: Simplify (/ 1 1) into 1
3.445 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.445 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.445 * [taylor]: Taking taylor expansion of z in x
3.445 * [backup-simplify]: Simplify z into z
3.445 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.445 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.445 * [backup-simplify]: Simplify (+ 1 0) into 1
3.445 * [backup-simplify]: Simplify (+ 0 1) into 1
3.446 * [backup-simplify]: Simplify (sqrt 1) into 1
3.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.447 * [backup-simplify]: Simplify (+ 0 0) into 0
3.447 * [backup-simplify]: Simplify (+ 0 0) into 0
3.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.447 * [taylor]: Taking taylor expansion of 1 in y
3.447 * [backup-simplify]: Simplify 1 into 1
3.447 * [taylor]: Taking taylor expansion of 0 in y
3.447 * [backup-simplify]: Simplify 0 into 0
3.447 * [taylor]: Taking taylor expansion of 1 in z
3.447 * [backup-simplify]: Simplify 1 into 1
3.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.449 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.449 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.450 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
3.450 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.450 * [taylor]: Taking taylor expansion of 1/2 in y
3.450 * [backup-simplify]: Simplify 1/2 into 1/2
3.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.450 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.450 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.450 * [taylor]: Taking taylor expansion of y in y
3.450 * [backup-simplify]: Simplify 0 into 0
3.450 * [backup-simplify]: Simplify 1 into 1
3.451 * [backup-simplify]: Simplify (* 1 1) into 1
3.451 * [backup-simplify]: Simplify (/ 1 1) into 1
3.451 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.451 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.451 * [taylor]: Taking taylor expansion of z in y
3.451 * [backup-simplify]: Simplify z into z
3.451 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.452 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.452 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.454 * [backup-simplify]: Simplify (+ 0 0) into 0
3.454 * [backup-simplify]: Simplify (+ 1 0) into 1
3.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.455 * [taylor]: Taking taylor expansion of 0 in z
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [taylor]: Taking taylor expansion of 0 in z
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [taylor]: Taking taylor expansion of 0 in z
3.455 * [backup-simplify]: Simplify 0 into 0
3.455 * [backup-simplify]: Simplify 1 into 1
3.455 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.458 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.459 * [backup-simplify]: Simplify (+ 0 0) into 0
3.459 * [backup-simplify]: Simplify (+ 0 0) into 0
3.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.460 * [taylor]: Taking taylor expansion of 0 in y
3.460 * [backup-simplify]: Simplify 0 into 0
3.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.462 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.463 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.463 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.463 * [taylor]: Taking taylor expansion of 1/2 in z
3.463 * [backup-simplify]: Simplify 1/2 into 1/2
3.463 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.463 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.464 * [taylor]: Taking taylor expansion of z in z
3.464 * [backup-simplify]: Simplify 0 into 0
3.464 * [backup-simplify]: Simplify 1 into 1
3.464 * [backup-simplify]: Simplify (* 1 1) into 1
3.465 * [backup-simplify]: Simplify (/ 1 1) into 1
3.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.468 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [taylor]: Taking taylor expansion of 0 in z
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [taylor]: Taking taylor expansion of 0 in z
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.468 * [backup-simplify]: Simplify 0 into 0
3.469 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.472 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.473 * [backup-simplify]: Simplify (+ 0 0) into 0
3.474 * [backup-simplify]: Simplify (+ 0 0) into 0
3.478 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
3.478 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
3.478 * [taylor]: Taking taylor expansion of -1/2 in y
3.478 * [backup-simplify]: Simplify -1/2 into -1/2
3.478 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
3.478 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.478 * [taylor]: Taking taylor expansion of 1/2 in y
3.478 * [backup-simplify]: Simplify 1/2 into 1/2
3.478 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.478 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.478 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.478 * [taylor]: Taking taylor expansion of z in y
3.478 * [backup-simplify]: Simplify z into z
3.478 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.478 * [taylor]: Taking taylor expansion of y in y
3.478 * [backup-simplify]: Simplify 0 into 0
3.478 * [backup-simplify]: Simplify 1 into 1
3.478 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.479 * [backup-simplify]: Simplify (* 1 1) into 1
3.479 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.479 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.479 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.479 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.479 * [taylor]: Taking taylor expansion of 1/4 in y
3.479 * [backup-simplify]: Simplify 1/4 into 1/4
3.479 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.479 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.479 * [taylor]: Taking taylor expansion of y in y
3.479 * [backup-simplify]: Simplify 0 into 0
3.479 * [backup-simplify]: Simplify 1 into 1
3.480 * [backup-simplify]: Simplify (* 1 1) into 1
3.480 * [backup-simplify]: Simplify (* 1 1) into 1
3.481 * [backup-simplify]: Simplify (/ 1 1) into 1
3.481 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.481 * [taylor]: Taking taylor expansion of 1/4 in y
3.481 * [backup-simplify]: Simplify 1/4 into 1/4
3.481 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.481 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.481 * [taylor]: Taking taylor expansion of z in y
3.481 * [backup-simplify]: Simplify z into z
3.481 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.481 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.481 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.482 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.483 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.493 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.493 * [backup-simplify]: Simplify (+ 0 0) into 0
3.493 * [backup-simplify]: Simplify (+ 0 0) into 0
3.493 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.494 * [backup-simplify]: Simplify (+ 0 0) into 0
3.494 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.495 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.495 * [backup-simplify]: Simplify (+ 0 0) into 0
3.495 * [backup-simplify]: Simplify (+ 0 0) into 0
3.496 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.496 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.496 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.497 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.497 * [taylor]: Taking taylor expansion of 0 in z
3.497 * [backup-simplify]: Simplify 0 into 0
3.497 * [taylor]: Taking taylor expansion of 0 in z
3.497 * [backup-simplify]: Simplify 0 into 0
3.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.498 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.499 * [backup-simplify]: Simplify (+ 0 0) into 0
3.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.499 * [taylor]: Taking taylor expansion of 0 in z
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [taylor]: Taking taylor expansion of 0 in z
3.499 * [backup-simplify]: Simplify 0 into 0
3.499 * [taylor]: Taking taylor expansion of 0 in z
3.499 * [backup-simplify]: Simplify 0 into 0
3.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.501 * [backup-simplify]: Simplify 0 into 0
3.501 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.501 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1)
3.502 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.502 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
3.502 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.502 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.502 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.502 * [taylor]: Taking taylor expansion of y in z
3.502 * [backup-simplify]: Simplify y into y
3.502 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.502 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.502 * [taylor]: Taking taylor expansion of x in z
3.502 * [backup-simplify]: Simplify x into x
3.502 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.502 * [taylor]: Taking taylor expansion of z in z
3.502 * [backup-simplify]: Simplify 0 into 0
3.502 * [backup-simplify]: Simplify 1 into 1
3.502 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.502 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.502 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.502 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.502 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.502 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.502 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.502 * [backup-simplify]: Simplify (+ 0 0) into 0
3.503 * [backup-simplify]: Simplify (+ 0 0) into 0
3.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.503 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.503 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.503 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.503 * [taylor]: Taking taylor expansion of y in y
3.503 * [backup-simplify]: Simplify 0 into 0
3.503 * [backup-simplify]: Simplify 1 into 1
3.503 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.503 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.503 * [taylor]: Taking taylor expansion of x in y
3.503 * [backup-simplify]: Simplify x into x
3.503 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.503 * [taylor]: Taking taylor expansion of z in y
3.503 * [backup-simplify]: Simplify z into z
3.503 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.503 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.503 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.503 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.503 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.503 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.504 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.504 * [backup-simplify]: Simplify (+ 0 0) into 0
3.504 * [backup-simplify]: Simplify (+ 0 0) into 0
3.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.504 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.504 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.505 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.505 * [taylor]: Taking taylor expansion of y in x
3.505 * [backup-simplify]: Simplify y into y
3.505 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.505 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.505 * [taylor]: Taking taylor expansion of x in x
3.505 * [backup-simplify]: Simplify 0 into 0
3.505 * [backup-simplify]: Simplify 1 into 1
3.505 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.505 * [taylor]: Taking taylor expansion of z in x
3.505 * [backup-simplify]: Simplify z into z
3.505 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.505 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.505 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.505 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.505 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.505 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.505 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.505 * [backup-simplify]: Simplify (+ 0 0) into 0
3.506 * [backup-simplify]: Simplify (+ 0 0) into 0
3.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.506 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.506 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.506 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.506 * [taylor]: Taking taylor expansion of y in x
3.506 * [backup-simplify]: Simplify y into y
3.506 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.506 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.506 * [taylor]: Taking taylor expansion of x in x
3.506 * [backup-simplify]: Simplify 0 into 0
3.506 * [backup-simplify]: Simplify 1 into 1
3.506 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.506 * [taylor]: Taking taylor expansion of z in x
3.506 * [backup-simplify]: Simplify z into z
3.506 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.506 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.506 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.506 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.506 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.506 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.506 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.507 * [backup-simplify]: Simplify (+ 0 0) into 0
3.507 * [backup-simplify]: Simplify (+ 0 0) into 0
3.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.507 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.507 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.507 * [taylor]: Taking taylor expansion of y in y
3.507 * [backup-simplify]: Simplify 0 into 0
3.507 * [backup-simplify]: Simplify 1 into 1
3.507 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.507 * [taylor]: Taking taylor expansion of z in y
3.507 * [backup-simplify]: Simplify z into z
3.507 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.507 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.507 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.507 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.508 * [backup-simplify]: Simplify (+ 0 0) into 0
3.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.508 * [taylor]: Taking taylor expansion of z in z
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 1 into 1
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [taylor]: Taking taylor expansion of 0 in y
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [taylor]: Taking taylor expansion of 0 in z
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [taylor]: Taking taylor expansion of 0 in z
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 0 into 0
3.508 * [backup-simplify]: Simplify 1 into 1
3.508 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.508 * [backup-simplify]: Simplify (* 1 1) into 1
3.509 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.509 * [backup-simplify]: Simplify (+ 1 0) into 1
3.509 * [backup-simplify]: Simplify (+ 0 1) into 1
3.510 * [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)))))
3.510 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
3.510 * [taylor]: Taking taylor expansion of 1/2 in y
3.510 * [backup-simplify]: Simplify 1/2 into 1/2
3.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.510 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.510 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.510 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.510 * [taylor]: Taking taylor expansion of y in y
3.510 * [backup-simplify]: Simplify 0 into 0
3.510 * [backup-simplify]: Simplify 1 into 1
3.510 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.510 * [taylor]: Taking taylor expansion of z in y
3.510 * [backup-simplify]: Simplify z into z
3.510 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.510 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.510 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.510 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.510 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.511 * [backup-simplify]: Simplify (+ 0 0) into 0
3.511 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.511 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
3.511 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.511 * [taylor]: Taking taylor expansion of 1/2 in z
3.511 * [backup-simplify]: Simplify 1/2 into 1/2
3.511 * [taylor]: Taking taylor expansion of z in z
3.511 * [backup-simplify]: Simplify 0 into 0
3.511 * [backup-simplify]: Simplify 1 into 1
3.511 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.512 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.512 * [backup-simplify]: Simplify 0 into 0
3.512 * [taylor]: Taking taylor expansion of 0 in z
3.512 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify 0 into 0
3.512 * [backup-simplify]: Simplify (* 1 1) into 1
3.512 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.513 * [backup-simplify]: Simplify (+ 1 0) into 1
3.513 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.513 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
3.513 * [taylor]: Taking taylor expansion of 1/2 in z
3.513 * [backup-simplify]: Simplify 1/2 into 1/2
3.513 * [taylor]: Taking taylor expansion of z in z
3.513 * [backup-simplify]: Simplify 0 into 0
3.513 * [backup-simplify]: Simplify 1 into 1
3.514 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
3.514 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify 0 into 0
3.514 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
3.515 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.515 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.515 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.515 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.515 * [taylor]: Taking taylor expansion of y in z
3.515 * [backup-simplify]: Simplify y into y
3.515 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.515 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.515 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.515 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.515 * [taylor]: Taking taylor expansion of x in z
3.515 * [backup-simplify]: Simplify x into x
3.515 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.515 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.515 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.515 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.515 * [taylor]: Taking taylor expansion of z in z
3.515 * [backup-simplify]: Simplify 0 into 0
3.515 * [backup-simplify]: Simplify 1 into 1
3.515 * [backup-simplify]: Simplify (* 1 1) into 1
3.516 * [backup-simplify]: Simplify (/ 1 1) into 1
3.516 * [backup-simplify]: Simplify (+ 0 1) into 1
3.516 * [backup-simplify]: Simplify (+ 0 1) into 1
3.516 * [backup-simplify]: Simplify (sqrt 1) into 1
3.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.518 * [backup-simplify]: Simplify (+ 0 0) into 0
3.518 * [backup-simplify]: Simplify (+ 0 0) into 0
3.518 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.518 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.518 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.518 * [taylor]: Taking taylor expansion of y in y
3.518 * [backup-simplify]: Simplify 0 into 0
3.518 * [backup-simplify]: Simplify 1 into 1
3.519 * [backup-simplify]: Simplify (* 1 1) into 1
3.519 * [backup-simplify]: Simplify (/ 1 1) into 1
3.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.519 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.519 * [taylor]: Taking taylor expansion of x in y
3.519 * [backup-simplify]: Simplify x into x
3.519 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.519 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.519 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.519 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.519 * [taylor]: Taking taylor expansion of z in y
3.519 * [backup-simplify]: Simplify z into z
3.519 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.519 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.519 * [backup-simplify]: Simplify (+ 1 0) into 1
3.520 * [backup-simplify]: Simplify (sqrt 1) into 1
3.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.521 * [backup-simplify]: Simplify (+ 0 0) into 0
3.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.522 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.522 * [taylor]: Taking taylor expansion of y in x
3.522 * [backup-simplify]: Simplify y into y
3.522 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.522 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.522 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.522 * [taylor]: Taking taylor expansion of x in x
3.522 * [backup-simplify]: Simplify 0 into 0
3.522 * [backup-simplify]: Simplify 1 into 1
3.522 * [backup-simplify]: Simplify (* 1 1) into 1
3.523 * [backup-simplify]: Simplify (/ 1 1) into 1
3.523 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.523 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.523 * [taylor]: Taking taylor expansion of z in x
3.523 * [backup-simplify]: Simplify z into z
3.523 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.523 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.524 * [backup-simplify]: Simplify (+ 1 0) into 1
3.524 * [backup-simplify]: Simplify (+ 0 1) into 1
3.524 * [backup-simplify]: Simplify (sqrt 1) into 1
3.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.526 * [backup-simplify]: Simplify (+ 0 0) into 0
3.527 * [backup-simplify]: Simplify (+ 0 0) into 0
3.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.528 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.528 * [taylor]: Taking taylor expansion of y in x
3.528 * [backup-simplify]: Simplify y into y
3.528 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.528 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.528 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.528 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.528 * [taylor]: Taking taylor expansion of x in x
3.528 * [backup-simplify]: Simplify 0 into 0
3.528 * [backup-simplify]: Simplify 1 into 1
3.528 * [backup-simplify]: Simplify (* 1 1) into 1
3.529 * [backup-simplify]: Simplify (/ 1 1) into 1
3.529 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.529 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.529 * [taylor]: Taking taylor expansion of z in x
3.529 * [backup-simplify]: Simplify z into z
3.529 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.529 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.530 * [backup-simplify]: Simplify (+ 1 0) into 1
3.530 * [backup-simplify]: Simplify (+ 0 1) into 1
3.530 * [backup-simplify]: Simplify (sqrt 1) into 1
3.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.532 * [backup-simplify]: Simplify (+ 0 0) into 0
3.533 * [backup-simplify]: Simplify (+ 0 0) into 0
3.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.534 * [taylor]: Taking taylor expansion of 1 in y
3.534 * [backup-simplify]: Simplify 1 into 1
3.534 * [taylor]: Taking taylor expansion of 0 in y
3.534 * [backup-simplify]: Simplify 0 into 0
3.534 * [taylor]: Taking taylor expansion of 1 in z
3.534 * [backup-simplify]: Simplify 1 into 1
3.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.536 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.536 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.537 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
3.537 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.538 * [taylor]: Taking taylor expansion of 1/2 in y
3.538 * [backup-simplify]: Simplify 1/2 into 1/2
3.538 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.538 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.538 * [taylor]: Taking taylor expansion of y in y
3.538 * [backup-simplify]: Simplify 0 into 0
3.538 * [backup-simplify]: Simplify 1 into 1
3.538 * [backup-simplify]: Simplify (* 1 1) into 1
3.538 * [backup-simplify]: Simplify (/ 1 1) into 1
3.538 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.538 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.539 * [taylor]: Taking taylor expansion of z in y
3.539 * [backup-simplify]: Simplify z into z
3.539 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.539 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.540 * [backup-simplify]: Simplify (+ 0 0) into 0
3.541 * [backup-simplify]: Simplify (+ 1 0) into 1
3.542 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.542 * [taylor]: Taking taylor expansion of 0 in z
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [taylor]: Taking taylor expansion of 0 in z
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [taylor]: Taking taylor expansion of 0 in z
3.542 * [backup-simplify]: Simplify 0 into 0
3.542 * [backup-simplify]: Simplify 1 into 1
3.542 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.544 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.545 * [backup-simplify]: Simplify (+ 0 0) into 0
3.545 * [backup-simplify]: Simplify (+ 0 0) into 0
3.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.546 * [taylor]: Taking taylor expansion of 0 in y
3.546 * [backup-simplify]: Simplify 0 into 0
3.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.548 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.549 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.549 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.549 * [taylor]: Taking taylor expansion of 1/2 in z
3.549 * [backup-simplify]: Simplify 1/2 into 1/2
3.549 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.549 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.549 * [taylor]: Taking taylor expansion of z in z
3.549 * [backup-simplify]: Simplify 0 into 0
3.549 * [backup-simplify]: Simplify 1 into 1
3.549 * [backup-simplify]: Simplify (* 1 1) into 1
3.550 * [backup-simplify]: Simplify (/ 1 1) into 1
3.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [taylor]: Taking taylor expansion of 0 in z
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [taylor]: Taking taylor expansion of 0 in z
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify 0 into 0
3.552 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify 0 into 0
3.553 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.556 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.557 * [backup-simplify]: Simplify (+ 0 0) into 0
3.558 * [backup-simplify]: Simplify (+ 0 0) into 0
3.559 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
3.559 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
3.559 * [taylor]: Taking taylor expansion of -1/2 in y
3.559 * [backup-simplify]: Simplify -1/2 into -1/2
3.559 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
3.559 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.559 * [taylor]: Taking taylor expansion of 1/2 in y
3.559 * [backup-simplify]: Simplify 1/2 into 1/2
3.560 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.560 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.560 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.560 * [taylor]: Taking taylor expansion of z in y
3.560 * [backup-simplify]: Simplify z into z
3.560 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.560 * [taylor]: Taking taylor expansion of y in y
3.560 * [backup-simplify]: Simplify 0 into 0
3.560 * [backup-simplify]: Simplify 1 into 1
3.560 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.560 * [backup-simplify]: Simplify (* 1 1) into 1
3.560 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.560 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.560 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.560 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.560 * [taylor]: Taking taylor expansion of 1/4 in y
3.560 * [backup-simplify]: Simplify 1/4 into 1/4
3.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.561 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.561 * [taylor]: Taking taylor expansion of y in y
3.561 * [backup-simplify]: Simplify 0 into 0
3.561 * [backup-simplify]: Simplify 1 into 1
3.561 * [backup-simplify]: Simplify (* 1 1) into 1
3.561 * [backup-simplify]: Simplify (* 1 1) into 1
3.562 * [backup-simplify]: Simplify (/ 1 1) into 1
3.562 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.562 * [taylor]: Taking taylor expansion of 1/4 in y
3.562 * [backup-simplify]: Simplify 1/4 into 1/4
3.562 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.562 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.562 * [taylor]: Taking taylor expansion of z in y
3.562 * [backup-simplify]: Simplify z into z
3.562 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.562 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.562 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.563 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.563 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.564 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.566 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.573 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.574 * [backup-simplify]: Simplify (+ 0 0) into 0
3.574 * [backup-simplify]: Simplify (+ 0 0) into 0
3.574 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.575 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.576 * [backup-simplify]: Simplify (+ 0 0) into 0
3.576 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.576 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.577 * [backup-simplify]: Simplify (+ 0 0) into 0
3.577 * [backup-simplify]: Simplify (+ 0 0) into 0
3.578 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.578 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.579 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.580 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.580 * [taylor]: Taking taylor expansion of 0 in z
3.580 * [backup-simplify]: Simplify 0 into 0
3.580 * [taylor]: Taking taylor expansion of 0 in z
3.580 * [backup-simplify]: Simplify 0 into 0
3.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.582 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.582 * [backup-simplify]: Simplify (+ 0 0) into 0
3.583 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) 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 * [taylor]: Taking taylor expansion of 0 in z
3.583 * [backup-simplify]: Simplify 0 into 0
3.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.584 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.584 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
3.585 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.585 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.585 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.585 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.585 * [taylor]: Taking taylor expansion of y in z
3.585 * [backup-simplify]: Simplify y into y
3.585 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.585 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.585 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.585 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.585 * [taylor]: Taking taylor expansion of x in z
3.585 * [backup-simplify]: Simplify x into x
3.585 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.585 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.585 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.585 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.585 * [taylor]: Taking taylor expansion of z in z
3.585 * [backup-simplify]: Simplify 0 into 0
3.585 * [backup-simplify]: Simplify 1 into 1
3.586 * [backup-simplify]: Simplify (* 1 1) into 1
3.586 * [backup-simplify]: Simplify (/ 1 1) into 1
3.586 * [backup-simplify]: Simplify (+ 0 1) into 1
3.586 * [backup-simplify]: Simplify (+ 0 1) into 1
3.587 * [backup-simplify]: Simplify (sqrt 1) into 1
3.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.588 * [backup-simplify]: Simplify (+ 0 0) into 0
3.588 * [backup-simplify]: Simplify (+ 0 0) into 0
3.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.588 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.588 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.588 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.588 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.588 * [taylor]: Taking taylor expansion of y in y
3.588 * [backup-simplify]: Simplify 0 into 0
3.588 * [backup-simplify]: Simplify 1 into 1
3.589 * [backup-simplify]: Simplify (* 1 1) into 1
3.589 * [backup-simplify]: Simplify (/ 1 1) into 1
3.589 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.589 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.589 * [taylor]: Taking taylor expansion of x in y
3.589 * [backup-simplify]: Simplify x into x
3.589 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.589 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.589 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.589 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.589 * [taylor]: Taking taylor expansion of z in y
3.589 * [backup-simplify]: Simplify z into z
3.589 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.589 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.589 * [backup-simplify]: Simplify (+ 1 0) into 1
3.590 * [backup-simplify]: Simplify (sqrt 1) into 1
3.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.591 * [backup-simplify]: Simplify (+ 0 0) into 0
3.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.591 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.591 * [taylor]: Taking taylor expansion of y in x
3.591 * [backup-simplify]: Simplify y into y
3.591 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.591 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.591 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.591 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.591 * [taylor]: Taking taylor expansion of x in x
3.591 * [backup-simplify]: Simplify 0 into 0
3.592 * [backup-simplify]: Simplify 1 into 1
3.592 * [backup-simplify]: Simplify (* 1 1) into 1
3.592 * [backup-simplify]: Simplify (/ 1 1) into 1
3.592 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.592 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.592 * [taylor]: Taking taylor expansion of z in x
3.592 * [backup-simplify]: Simplify z into z
3.592 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.592 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.592 * [backup-simplify]: Simplify (+ 1 0) into 1
3.593 * [backup-simplify]: Simplify (+ 0 1) into 1
3.593 * [backup-simplify]: Simplify (sqrt 1) into 1
3.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.594 * [backup-simplify]: Simplify (+ 0 0) into 0
3.594 * [backup-simplify]: Simplify (+ 0 0) into 0
3.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.595 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.595 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.595 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.595 * [taylor]: Taking taylor expansion of y in x
3.595 * [backup-simplify]: Simplify y into y
3.595 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.595 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.595 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.595 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.595 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.595 * [taylor]: Taking taylor expansion of x in x
3.595 * [backup-simplify]: Simplify 0 into 0
3.595 * [backup-simplify]: Simplify 1 into 1
3.595 * [backup-simplify]: Simplify (* 1 1) into 1
3.595 * [backup-simplify]: Simplify (/ 1 1) into 1
3.595 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.595 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.595 * [taylor]: Taking taylor expansion of z in x
3.595 * [backup-simplify]: Simplify z into z
3.595 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.596 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.596 * [backup-simplify]: Simplify (+ 1 0) into 1
3.596 * [backup-simplify]: Simplify (+ 0 1) into 1
3.596 * [backup-simplify]: Simplify (sqrt 1) into 1
3.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.597 * [backup-simplify]: Simplify (+ 0 0) into 0
3.598 * [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 1 in y
3.600 * [backup-simplify]: Simplify 1 into 1
3.600 * [taylor]: Taking taylor expansion of 0 in y
3.600 * [backup-simplify]: Simplify 0 into 0
3.600 * [taylor]: Taking taylor expansion of 1 in z
3.600 * [backup-simplify]: Simplify 1 into 1
3.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.601 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.601 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.601 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.602 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
3.602 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
3.603 * [taylor]: Taking taylor expansion of 1/2 in y
3.603 * [backup-simplify]: Simplify 1/2 into 1/2
3.603 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.603 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.603 * [taylor]: Taking taylor expansion of y in y
3.603 * [backup-simplify]: Simplify 0 into 0
3.603 * [backup-simplify]: Simplify 1 into 1
3.603 * [backup-simplify]: Simplify (* 1 1) into 1
3.603 * [backup-simplify]: Simplify (/ 1 1) into 1
3.603 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.603 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.603 * [taylor]: Taking taylor expansion of z in y
3.603 * [backup-simplify]: Simplify z into z
3.603 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.603 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.604 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.604 * [backup-simplify]: Simplify (+ 0 0) into 0
3.605 * [backup-simplify]: Simplify (+ 1 0) into 1
3.605 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.605 * [taylor]: Taking taylor expansion of 0 in z
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [taylor]: Taking taylor expansion of 0 in z
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [taylor]: Taking taylor expansion of 0 in z
3.605 * [backup-simplify]: Simplify 0 into 0
3.605 * [backup-simplify]: Simplify 1 into 1
3.605 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.605 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.607 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.607 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.607 * [backup-simplify]: Simplify (+ 0 0) into 0
3.607 * [backup-simplify]: Simplify (+ 0 0) into 0
3.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.608 * [taylor]: Taking taylor expansion of 0 in y
3.608 * [backup-simplify]: Simplify 0 into 0
3.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.609 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.610 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
3.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
3.610 * [taylor]: Taking taylor expansion of 1/2 in z
3.610 * [backup-simplify]: Simplify 1/2 into 1/2
3.610 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.610 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.610 * [taylor]: Taking taylor expansion of z in z
3.610 * [backup-simplify]: Simplify 0 into 0
3.610 * [backup-simplify]: Simplify 1 into 1
3.610 * [backup-simplify]: Simplify (* 1 1) into 1
3.611 * [backup-simplify]: Simplify (/ 1 1) into 1
3.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [taylor]: Taking taylor expansion of 0 in z
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [taylor]: Taking taylor expansion of 0 in z
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 0 into 0
3.613 * [backup-simplify]: Simplify 0 into 0
3.614 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.617 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.617 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.618 * [backup-simplify]: Simplify (+ 0 0) into 0
3.618 * [backup-simplify]: Simplify (+ 0 0) into 0
3.620 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
3.620 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
3.620 * [taylor]: Taking taylor expansion of -1/2 in y
3.620 * [backup-simplify]: Simplify -1/2 into -1/2
3.620 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
3.620 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
3.620 * [taylor]: Taking taylor expansion of 1/2 in y
3.620 * [backup-simplify]: Simplify 1/2 into 1/2
3.620 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
3.620 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.620 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.620 * [taylor]: Taking taylor expansion of z in y
3.620 * [backup-simplify]: Simplify z into z
3.620 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.620 * [taylor]: Taking taylor expansion of y in y
3.620 * [backup-simplify]: Simplify 0 into 0
3.620 * [backup-simplify]: Simplify 1 into 1
3.620 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.621 * [backup-simplify]: Simplify (* 1 1) into 1
3.621 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.621 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.621 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
3.621 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
3.621 * [taylor]: Taking taylor expansion of 1/4 in y
3.621 * [backup-simplify]: Simplify 1/4 into 1/4
3.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
3.621 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.621 * [taylor]: Taking taylor expansion of y in y
3.621 * [backup-simplify]: Simplify 0 into 0
3.621 * [backup-simplify]: Simplify 1 into 1
3.622 * [backup-simplify]: Simplify (* 1 1) into 1
3.622 * [backup-simplify]: Simplify (* 1 1) into 1
3.622 * [backup-simplify]: Simplify (/ 1 1) into 1
3.622 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
3.623 * [taylor]: Taking taylor expansion of 1/4 in y
3.623 * [backup-simplify]: Simplify 1/4 into 1/4
3.623 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
3.623 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.623 * [taylor]: Taking taylor expansion of z in y
3.623 * [backup-simplify]: Simplify z into z
3.623 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.623 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.623 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
3.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.624 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.624 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
3.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.634 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.634 * [backup-simplify]: Simplify (+ 0 0) into 0
3.635 * [backup-simplify]: Simplify (+ 0 0) into 0
3.635 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
3.636 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
3.636 * [backup-simplify]: Simplify (+ 0 0) into 0
3.636 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
3.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
3.637 * [backup-simplify]: Simplify (+ 0 0) into 0
3.638 * [backup-simplify]: Simplify (+ 0 0) into 0
3.638 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
3.639 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
3.639 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
3.640 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
3.640 * [taylor]: Taking taylor expansion of 0 in z
3.640 * [backup-simplify]: Simplify 0 into 0
3.640 * [taylor]: Taking taylor expansion of 0 in z
3.640 * [backup-simplify]: Simplify 0 into 0
3.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.642 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.643 * [backup-simplify]: Simplify (+ 0 0) into 0
3.644 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
3.644 * [taylor]: Taking taylor expansion of 0 in z
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in z
3.644 * [backup-simplify]: Simplify 0 into 0
3.644 * [taylor]: Taking taylor expansion of 0 in z
3.645 * [backup-simplify]: Simplify 0 into 0
3.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.648 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
3.648 * [backup-simplify]: Simplify 0 into 0
3.648 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
3.648 * * * * [progress]: [ 3 / 4 ] generating series at (2)
3.649 * [backup-simplify]: Simplify (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
3.649 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
3.649 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
3.649 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.649 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.649 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.649 * [taylor]: Taking taylor expansion of y in z
3.649 * [backup-simplify]: Simplify y into y
3.649 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.650 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.650 * [taylor]: Taking taylor expansion of x in z
3.650 * [backup-simplify]: Simplify x into x
3.650 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.650 * [taylor]: Taking taylor expansion of z in z
3.650 * [backup-simplify]: Simplify 0 into 0
3.650 * [backup-simplify]: Simplify 1 into 1
3.650 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.650 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.650 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
3.650 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
3.650 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
3.650 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.650 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.651 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (+ 0 0) into 0
3.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
3.652 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.652 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.652 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.653 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.653 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
3.654 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.654 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.654 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.654 * [taylor]: Taking taylor expansion of y in y
3.654 * [backup-simplify]: Simplify 0 into 0
3.654 * [backup-simplify]: Simplify 1 into 1
3.654 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.654 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.654 * [taylor]: Taking taylor expansion of x in y
3.654 * [backup-simplify]: Simplify x into x
3.654 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.654 * [taylor]: Taking taylor expansion of z in y
3.654 * [backup-simplify]: Simplify z into z
3.654 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.654 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.654 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
3.654 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
3.654 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
3.655 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
3.655 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.655 * [backup-simplify]: Simplify (+ 0 0) into 0
3.655 * [backup-simplify]: Simplify (+ 0 0) into 0
3.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
3.656 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.656 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.656 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.656 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.657 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
3.657 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.657 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.657 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.657 * [taylor]: Taking taylor expansion of y in x
3.657 * [backup-simplify]: Simplify y into y
3.657 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.657 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.657 * [taylor]: Taking taylor expansion of x in x
3.657 * [backup-simplify]: Simplify 0 into 0
3.657 * [backup-simplify]: Simplify 1 into 1
3.657 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.657 * [taylor]: Taking taylor expansion of z in x
3.657 * [backup-simplify]: Simplify z into z
3.657 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.657 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.657 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.657 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.658 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.658 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.658 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.658 * [backup-simplify]: Simplify (+ 0 0) into 0
3.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.659 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.659 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.659 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.659 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.660 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
3.660 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.660 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.660 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.660 * [taylor]: Taking taylor expansion of y in x
3.660 * [backup-simplify]: Simplify y into y
3.660 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.660 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.660 * [taylor]: Taking taylor expansion of x in x
3.660 * [backup-simplify]: Simplify 0 into 0
3.660 * [backup-simplify]: Simplify 1 into 1
3.660 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.660 * [taylor]: Taking taylor expansion of z in x
3.660 * [backup-simplify]: Simplify z into z
3.660 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.660 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.661 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.661 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.661 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
3.661 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.661 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.662 * [backup-simplify]: Simplify (+ 0 0) into 0
3.662 * [backup-simplify]: Simplify (+ 0 0) into 0
3.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
3.662 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.662 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.662 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.663 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.664 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
3.664 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
3.664 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
3.664 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.664 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.664 * [taylor]: Taking taylor expansion of y in y
3.664 * [backup-simplify]: Simplify 0 into 0
3.664 * [backup-simplify]: Simplify 1 into 1
3.664 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.664 * [taylor]: Taking taylor expansion of z in y
3.665 * [backup-simplify]: Simplify z into z
3.665 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.665 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.665 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
3.665 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.665 * [backup-simplify]: Simplify (+ 0 0) into 0
3.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
3.665 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.665 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.665 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.666 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.667 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
3.667 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) 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
3.667 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.667 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.667 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.668 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.668 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.669 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
3.669 * [backup-simplify]: Simplify 0 into 0
3.670 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.670 * [taylor]: Taking taylor expansion of 0 in y
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 (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.670 * [taylor]: Taking taylor expansion of 0 in z
3.670 * [backup-simplify]: Simplify 0 into 0
3.671 * [backup-simplify]: Simplify 0 into 0
3.672 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
3.673 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.674 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.675 * [backup-simplify]: Simplify (* 1 1) into 1
3.675 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.676 * [backup-simplify]: Simplify (+ 1 0) into 1
3.676 * [backup-simplify]: Simplify (+ 0 1) into 1
3.677 * [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)))))
3.678 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
3.678 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
3.678 * [taylor]: Taking taylor expansion of 1/2 in y
3.678 * [backup-simplify]: Simplify 1/2 into 1/2
3.678 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
3.678 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
3.678 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
3.678 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.678 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.678 * [taylor]: Taking taylor expansion of y in y
3.678 * [backup-simplify]: Simplify 0 into 0
3.678 * [backup-simplify]: Simplify 1 into 1
3.678 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.679 * [taylor]: Taking taylor expansion of z in y
3.679 * [backup-simplify]: Simplify z into z
3.679 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.679 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.679 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.679 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
3.679 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.679 * [backup-simplify]: Simplify (+ 0 0) into 0
3.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
3.680 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.680 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.680 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.680 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.681 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.681 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
3.682 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
3.682 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
3.682 * [taylor]: Taking taylor expansion of 1/2 in z
3.682 * [backup-simplify]: Simplify 1/2 into 1/2
3.682 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
3.682 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.682 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.682 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.682 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.683 * [taylor]: Taking taylor expansion of z in z
3.683 * [backup-simplify]: Simplify 0 into 0
3.683 * [backup-simplify]: Simplify 1 into 1
3.684 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.685 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [taylor]: Taking taylor expansion of 0 in z
3.686 * [backup-simplify]: Simplify 0 into 0
3.686 * [backup-simplify]: Simplify 0 into 0
3.687 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.688 * [backup-simplify]: Simplify (* 1 1) into 1
3.688 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.688 * [backup-simplify]: Simplify (+ 1 0) into 1
3.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
3.690 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
3.690 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
3.690 * [taylor]: Taking taylor expansion of 1/2 in z
3.690 * [backup-simplify]: Simplify 1/2 into 1/2
3.690 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
3.690 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.690 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.690 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.691 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.691 * [taylor]: Taking taylor expansion of z in z
3.691 * [backup-simplify]: Simplify 0 into 0
3.691 * [backup-simplify]: Simplify 1 into 1
3.692 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.694 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.694 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify 0 into 0
3.694 * [backup-simplify]: Simplify 0 into 0
3.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.696 * [backup-simplify]: Simplify 0 into 0
3.697 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
3.698 * [backup-simplify]: Simplify (sqrt (* (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1) (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
3.698 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
3.698 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
3.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.698 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.698 * [taylor]: Taking taylor expansion of y in z
3.698 * [backup-simplify]: Simplify y into y
3.698 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.698 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.699 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.699 * [taylor]: Taking taylor expansion of x in z
3.699 * [backup-simplify]: Simplify x into x
3.699 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.699 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.699 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.699 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.699 * [taylor]: Taking taylor expansion of z in z
3.699 * [backup-simplify]: Simplify 0 into 0
3.699 * [backup-simplify]: Simplify 1 into 1
3.699 * [backup-simplify]: Simplify (* 1 1) into 1
3.700 * [backup-simplify]: Simplify (/ 1 1) into 1
3.700 * [backup-simplify]: Simplify (+ 0 1) into 1
3.701 * [backup-simplify]: Simplify (+ 0 1) into 1
3.701 * [backup-simplify]: Simplify (sqrt 1) into 1
3.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.703 * [backup-simplify]: Simplify (+ 0 0) into 0
3.703 * [backup-simplify]: Simplify (+ 0 0) into 0
3.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.704 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.704 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.704 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.705 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.705 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
3.705 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.705 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.705 * [taylor]: Taking taylor expansion of y in y
3.705 * [backup-simplify]: Simplify 0 into 0
3.705 * [backup-simplify]: Simplify 1 into 1
3.706 * [backup-simplify]: Simplify (* 1 1) into 1
3.706 * [backup-simplify]: Simplify (/ 1 1) into 1
3.706 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.706 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.706 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.706 * [taylor]: Taking taylor expansion of x in y
3.706 * [backup-simplify]: Simplify x into x
3.706 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.707 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.707 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.707 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.707 * [taylor]: Taking taylor expansion of z in y
3.707 * [backup-simplify]: Simplify z into z
3.707 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.707 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.707 * [backup-simplify]: Simplify (+ 1 0) into 1
3.708 * [backup-simplify]: Simplify (sqrt 1) into 1
3.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.709 * [backup-simplify]: Simplify (+ 0 0) into 0
3.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.710 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.710 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.710 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.711 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.711 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
3.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.712 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.712 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.712 * [taylor]: Taking taylor expansion of y in x
3.712 * [backup-simplify]: Simplify y into y
3.712 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.712 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.712 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.712 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.712 * [taylor]: Taking taylor expansion of x in x
3.712 * [backup-simplify]: Simplify 0 into 0
3.712 * [backup-simplify]: Simplify 1 into 1
3.712 * [backup-simplify]: Simplify (* 1 1) into 1
3.713 * [backup-simplify]: Simplify (/ 1 1) into 1
3.713 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.713 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.713 * [taylor]: Taking taylor expansion of z in x
3.713 * [backup-simplify]: Simplify z into z
3.713 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.713 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.713 * [backup-simplify]: Simplify (+ 1 0) into 1
3.714 * [backup-simplify]: Simplify (+ 0 1) into 1
3.714 * [backup-simplify]: Simplify (sqrt 1) into 1
3.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.716 * [backup-simplify]: Simplify (+ 0 0) into 0
3.716 * [backup-simplify]: Simplify (+ 0 0) into 0
3.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.717 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.717 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.717 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.718 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.718 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.718 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
3.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.719 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.719 * [taylor]: Taking taylor expansion of y in x
3.719 * [backup-simplify]: Simplify y into y
3.719 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.719 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.719 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.719 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.719 * [taylor]: Taking taylor expansion of x in x
3.719 * [backup-simplify]: Simplify 0 into 0
3.719 * [backup-simplify]: Simplify 1 into 1
3.719 * [backup-simplify]: Simplify (* 1 1) into 1
3.720 * [backup-simplify]: Simplify (/ 1 1) into 1
3.720 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.720 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.720 * [taylor]: Taking taylor expansion of z in x
3.720 * [backup-simplify]: Simplify z into z
3.720 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.720 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.721 * [backup-simplify]: Simplify (+ 1 0) into 1
3.721 * [backup-simplify]: Simplify (+ 0 1) into 1
3.721 * [backup-simplify]: Simplify (sqrt 1) into 1
3.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.723 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (+ 0 0) into 0
3.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.724 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.724 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.724 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.725 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.727 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
3.727 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.727 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.727 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.727 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.729 * [taylor]: Taking taylor expansion of 0 in y
3.729 * [backup-simplify]: Simplify 0 into 0
3.729 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.729 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.729 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.730 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.731 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.734 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.734 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.735 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
3.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
3.736 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
3.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
3.736 * [taylor]: Taking taylor expansion of 1/2 in y
3.736 * [backup-simplify]: Simplify 1/2 into 1/2
3.736 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
3.736 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.736 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.736 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.736 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.737 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.737 * [taylor]: Taking taylor expansion of z in y
3.737 * [backup-simplify]: Simplify z into z
3.737 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.737 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.737 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
3.737 * [taylor]: Taking taylor expansion of 1/2 in y
3.737 * [backup-simplify]: Simplify 1/2 into 1/2
3.737 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
3.737 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.737 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.737 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.737 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.738 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.738 * [taylor]: Taking taylor expansion of y in y
3.738 * [backup-simplify]: Simplify 0 into 0
3.738 * [backup-simplify]: Simplify 1 into 1
3.738 * [backup-simplify]: Simplify (* 1 1) into 1
3.740 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.742 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.742 * [backup-simplify]: Simplify (+ 0 0) into 0
3.742 * [taylor]: Taking taylor expansion of 0 in z
3.742 * [backup-simplify]: Simplify 0 into 0
3.742 * [taylor]: Taking taylor expansion of 0 in z
3.742 * [backup-simplify]: Simplify 0 into 0
3.742 * [taylor]: Taking taylor expansion of 0 in z
3.742 * [backup-simplify]: Simplify 0 into 0
3.743 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.743 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.745 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.745 * [backup-simplify]: Simplify (+ 0 0) into 0
3.745 * [backup-simplify]: Simplify (+ 0 0) into 0
3.746 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.747 * [taylor]: Taking taylor expansion of 0 in y
3.747 * [backup-simplify]: Simplify 0 into 0
3.747 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.748 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.749 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.750 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.750 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
3.750 * [taylor]: Taking taylor expansion of 1/2 in z
3.750 * [backup-simplify]: Simplify 1/2 into 1/2
3.750 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
3.750 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.750 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.750 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.750 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.751 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.751 * [taylor]: Taking taylor expansion of z in z
3.751 * [backup-simplify]: Simplify 0 into 0
3.751 * [backup-simplify]: Simplify 1 into 1
3.751 * [backup-simplify]: Simplify (* 1 1) into 1
3.752 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.753 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.753 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.753 * [backup-simplify]: Simplify 0 into 0
3.753 * [taylor]: Taking taylor expansion of 0 in z
3.753 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.754 * [taylor]: Taking taylor expansion of 0 in z
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.754 * [backup-simplify]: Simplify 0 into 0
3.755 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.755 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.757 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.757 * [backup-simplify]: Simplify (+ 0 0) into 0
3.758 * [backup-simplify]: Simplify (+ 0 0) into 0
3.759 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
3.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
3.760 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
3.760 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
3.760 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
3.760 * [taylor]: Taking taylor expansion of 1/4 in y
3.760 * [backup-simplify]: Simplify 1/4 into 1/4
3.760 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
3.760 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.760 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.760 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.761 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.761 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.761 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.761 * [taylor]: Taking taylor expansion of z in y
3.761 * [backup-simplify]: Simplify z into z
3.761 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.761 * [taylor]: Taking taylor expansion of y in y
3.761 * [backup-simplify]: Simplify 0 into 0
3.761 * [backup-simplify]: Simplify 1 into 1
3.761 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.762 * [backup-simplify]: Simplify (* 1 1) into 1
3.762 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.762 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.762 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
3.762 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
3.762 * [taylor]: Taking taylor expansion of 1/8 in y
3.762 * [backup-simplify]: Simplify 1/8 into 1/8
3.762 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
3.762 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.762 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.762 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.762 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.763 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.763 * [taylor]: Taking taylor expansion of y in y
3.763 * [backup-simplify]: Simplify 0 into 0
3.763 * [backup-simplify]: Simplify 1 into 1
3.763 * [backup-simplify]: Simplify (* 1 1) into 1
3.763 * [backup-simplify]: Simplify (* 1 1) into 1
3.764 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.764 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
3.764 * [taylor]: Taking taylor expansion of 1/8 in y
3.764 * [backup-simplify]: Simplify 1/8 into 1/8
3.764 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
3.764 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.764 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.764 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.764 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.765 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.765 * [taylor]: Taking taylor expansion of z in y
3.765 * [backup-simplify]: Simplify z into z
3.765 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.765 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.765 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
3.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.766 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.766 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.766 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.768 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.772 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.775 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.778 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.778 * [backup-simplify]: Simplify (+ 0 0) into 0
3.778 * [backup-simplify]: Simplify (+ 0 0) into 0
3.779 * [backup-simplify]: Simplify (- 0) into 0
3.779 * [taylor]: Taking taylor expansion of 0 in z
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [taylor]: Taking taylor expansion of 0 in z
3.779 * [backup-simplify]: Simplify 0 into 0
3.779 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.780 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.780 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.782 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.785 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.785 * [backup-simplify]: Simplify (+ 0 0) into 0
3.785 * [taylor]: Taking taylor expansion of 0 in z
3.785 * [backup-simplify]: Simplify 0 into 0
3.785 * [taylor]: Taking taylor expansion of 0 in z
3.785 * [backup-simplify]: Simplify 0 into 0
3.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.787 * [taylor]: Taking taylor expansion of 0 in z
3.787 * [backup-simplify]: Simplify 0 into 0
3.788 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.790 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.791 * [backup-simplify]: Simplify 0 into 0
3.791 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
3.792 * [backup-simplify]: Simplify (sqrt (* (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) 1) (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
3.793 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
3.793 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
3.793 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.793 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.793 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.793 * [taylor]: Taking taylor expansion of y in z
3.793 * [backup-simplify]: Simplify y into y
3.793 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.793 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.793 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.793 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.793 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.793 * [taylor]: Taking taylor expansion of x in z
3.793 * [backup-simplify]: Simplify x into x
3.793 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.793 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.793 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.793 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.793 * [taylor]: Taking taylor expansion of z in z
3.793 * [backup-simplify]: Simplify 0 into 0
3.793 * [backup-simplify]: Simplify 1 into 1
3.794 * [backup-simplify]: Simplify (* 1 1) into 1
3.794 * [backup-simplify]: Simplify (/ 1 1) into 1
3.795 * [backup-simplify]: Simplify (+ 0 1) into 1
3.795 * [backup-simplify]: Simplify (+ 0 1) into 1
3.796 * [backup-simplify]: Simplify (sqrt 1) into 1
3.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.798 * [backup-simplify]: Simplify (+ 0 0) into 0
3.798 * [backup-simplify]: Simplify (+ 0 0) into 0
3.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.799 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.799 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.799 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.800 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.801 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
3.801 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.801 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.801 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.801 * [taylor]: Taking taylor expansion of y in y
3.801 * [backup-simplify]: Simplify 0 into 0
3.801 * [backup-simplify]: Simplify 1 into 1
3.801 * [backup-simplify]: Simplify (* 1 1) into 1
3.802 * [backup-simplify]: Simplify (/ 1 1) into 1
3.802 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.802 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.802 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.802 * [taylor]: Taking taylor expansion of x in y
3.802 * [backup-simplify]: Simplify x into x
3.802 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.802 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.802 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.802 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.802 * [taylor]: Taking taylor expansion of z in y
3.802 * [backup-simplify]: Simplify z into z
3.802 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.802 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.803 * [backup-simplify]: Simplify (+ 1 0) into 1
3.803 * [backup-simplify]: Simplify (sqrt 1) into 1
3.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.805 * [backup-simplify]: Simplify (+ 0 0) into 0
3.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.806 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.806 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.806 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.806 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.807 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
3.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.807 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.807 * [taylor]: Taking taylor expansion of y in x
3.807 * [backup-simplify]: Simplify y into y
3.807 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.807 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.808 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.808 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.808 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.808 * [taylor]: Taking taylor expansion of x in x
3.808 * [backup-simplify]: Simplify 0 into 0
3.808 * [backup-simplify]: Simplify 1 into 1
3.808 * [backup-simplify]: Simplify (* 1 1) into 1
3.808 * [backup-simplify]: Simplify (/ 1 1) into 1
3.808 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.808 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.808 * [taylor]: Taking taylor expansion of z in x
3.809 * [backup-simplify]: Simplify z into z
3.809 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.809 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.809 * [backup-simplify]: Simplify (+ 1 0) into 1
3.810 * [backup-simplify]: Simplify (+ 0 1) into 1
3.810 * [backup-simplify]: Simplify (sqrt 1) into 1
3.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.812 * [backup-simplify]: Simplify (+ 0 0) into 0
3.812 * [backup-simplify]: Simplify (+ 0 0) into 0
3.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.813 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.813 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.813 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.814 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.814 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.814 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
3.814 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.814 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.814 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.814 * [taylor]: Taking taylor expansion of y in x
3.815 * [backup-simplify]: Simplify y into y
3.815 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.815 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.815 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.815 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.815 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.815 * [taylor]: Taking taylor expansion of x in x
3.815 * [backup-simplify]: Simplify 0 into 0
3.815 * [backup-simplify]: Simplify 1 into 1
3.815 * [backup-simplify]: Simplify (* 1 1) into 1
3.816 * [backup-simplify]: Simplify (/ 1 1) into 1
3.816 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.816 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.816 * [taylor]: Taking taylor expansion of z in x
3.816 * [backup-simplify]: Simplify z into z
3.816 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.816 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.816 * [backup-simplify]: Simplify (+ 1 0) into 1
3.817 * [backup-simplify]: Simplify (+ 0 1) into 1
3.817 * [backup-simplify]: Simplify (sqrt 1) into 1
3.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.819 * [backup-simplify]: Simplify (+ 0 0) into 0
3.819 * [backup-simplify]: Simplify (+ 0 0) into 0
3.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.820 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
3.820 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.820 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.821 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.822 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
3.822 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.822 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.822 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.822 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.823 * [taylor]: Taking taylor expansion of 0 in y
3.823 * [backup-simplify]: Simplify 0 into 0
3.823 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.823 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.823 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.823 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.826 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.826 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.826 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
3.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
3.827 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
3.827 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
3.827 * [taylor]: Taking taylor expansion of 1/2 in y
3.827 * [backup-simplify]: Simplify 1/2 into 1/2
3.827 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
3.828 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.828 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.828 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.828 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.828 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.828 * [taylor]: Taking taylor expansion of z in y
3.828 * [backup-simplify]: Simplify z into z
3.828 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.829 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.829 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
3.829 * [taylor]: Taking taylor expansion of 1/2 in y
3.829 * [backup-simplify]: Simplify 1/2 into 1/2
3.829 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
3.829 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.829 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.829 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.829 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.829 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.829 * [taylor]: Taking taylor expansion of y in y
3.829 * [backup-simplify]: Simplify 0 into 0
3.830 * [backup-simplify]: Simplify 1 into 1
3.830 * [backup-simplify]: Simplify (* 1 1) into 1
3.830 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.831 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.832 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.832 * [backup-simplify]: Simplify (+ 0 0) into 0
3.832 * [taylor]: Taking taylor expansion of 0 in z
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [taylor]: Taking taylor expansion of 0 in z
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [taylor]: Taking taylor expansion of 0 in z
3.832 * [backup-simplify]: Simplify 0 into 0
3.832 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.833 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.835 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.835 * [backup-simplify]: Simplify (+ 0 0) into 0
3.835 * [backup-simplify]: Simplify (+ 0 0) into 0
3.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
3.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.837 * [taylor]: Taking taylor expansion of 0 in y
3.837 * [backup-simplify]: Simplify 0 into 0
3.837 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.838 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.840 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
3.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
3.840 * [taylor]: Taking taylor expansion of 1/2 in z
3.840 * [backup-simplify]: Simplify 1/2 into 1/2
3.840 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
3.840 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
3.840 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.840 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.840 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.841 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.841 * [taylor]: Taking taylor expansion of z in z
3.841 * [backup-simplify]: Simplify 0 into 0
3.841 * [backup-simplify]: Simplify 1 into 1
3.841 * [backup-simplify]: Simplify (* 1 1) into 1
3.841 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.843 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
3.843 * [backup-simplify]: Simplify 0 into 0
3.843 * [taylor]: Taking taylor expansion of 0 in z
3.843 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.844 * [taylor]: Taking taylor expansion of 0 in z
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify 0 into 0
3.844 * [backup-simplify]: Simplify 0 into 0
3.845 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.845 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.849 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.850 * [backup-simplify]: Simplify (+ 0 0) into 0
3.850 * [backup-simplify]: Simplify (+ 0 0) into 0
3.851 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
3.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
3.853 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
3.853 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
3.853 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
3.853 * [taylor]: Taking taylor expansion of 1/4 in y
3.853 * [backup-simplify]: Simplify 1/4 into 1/4
3.853 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
3.853 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.853 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.853 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.854 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.854 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
3.854 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.854 * [taylor]: Taking taylor expansion of z in y
3.854 * [backup-simplify]: Simplify z into z
3.854 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.854 * [taylor]: Taking taylor expansion of y in y
3.854 * [backup-simplify]: Simplify 0 into 0
3.854 * [backup-simplify]: Simplify 1 into 1
3.854 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.855 * [backup-simplify]: Simplify (* 1 1) into 1
3.855 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
3.855 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
3.855 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
3.855 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
3.855 * [taylor]: Taking taylor expansion of 1/8 in y
3.855 * [backup-simplify]: Simplify 1/8 into 1/8
3.855 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
3.855 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.855 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.855 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.855 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.856 * [taylor]: Taking taylor expansion of (pow y 4) in y
3.856 * [taylor]: Taking taylor expansion of y in y
3.856 * [backup-simplify]: Simplify 0 into 0
3.856 * [backup-simplify]: Simplify 1 into 1
3.856 * [backup-simplify]: Simplify (* 1 1) into 1
3.856 * [backup-simplify]: Simplify (* 1 1) into 1
3.857 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
3.857 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
3.857 * [taylor]: Taking taylor expansion of 1/8 in y
3.857 * [backup-simplify]: Simplify 1/8 into 1/8
3.857 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
3.857 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
3.857 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.857 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.857 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
3.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
3.858 * [taylor]: Taking taylor expansion of (pow z 4) in y
3.858 * [taylor]: Taking taylor expansion of z in y
3.858 * [backup-simplify]: Simplify z into z
3.858 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.858 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
3.858 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
3.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.859 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.859 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
3.859 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.860 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.861 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
3.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.867 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.867 * [backup-simplify]: Simplify (+ 0 0) into 0
3.868 * [backup-simplify]: Simplify (- 0) into 0
3.868 * [taylor]: Taking taylor expansion of 0 in z
3.868 * [backup-simplify]: Simplify 0 into 0
3.868 * [taylor]: Taking taylor expansion of 0 in z
3.868 * [backup-simplify]: Simplify 0 into 0
3.868 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.868 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
3.869 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
3.870 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.871 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.872 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
3.872 * [backup-simplify]: Simplify (+ 0 0) into 0
3.872 * [taylor]: Taking taylor expansion of 0 in z
3.872 * [backup-simplify]: Simplify 0 into 0
3.872 * [taylor]: Taking taylor expansion of 0 in z
3.872 * [backup-simplify]: Simplify 0 into 0
3.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
3.873 * [taylor]: Taking taylor expansion of 0 in z
3.873 * [backup-simplify]: Simplify 0 into 0
3.874 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
3.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.876 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
3.876 * [backup-simplify]: Simplify 0 into 0
3.876 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
3.876 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
3.876 * [backup-simplify]: Simplify (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) into (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2))))
3.876 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
3.876 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
3.876 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.877 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.877 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
3.877 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.877 * [taylor]: Taking taylor expansion of y in z
3.877 * [backup-simplify]: Simplify y into y
3.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
3.877 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.877 * [taylor]: Taking taylor expansion of x in z
3.877 * [backup-simplify]: Simplify x into x
3.877 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.877 * [taylor]: Taking taylor expansion of z in z
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
3.877 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.877 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.877 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
3.877 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.877 * [taylor]: Taking taylor expansion of y in y
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
3.877 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.877 * [taylor]: Taking taylor expansion of x in y
3.877 * [backup-simplify]: Simplify x into x
3.877 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.877 * [taylor]: Taking taylor expansion of z in y
3.877 * [backup-simplify]: Simplify z into z
3.877 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.877 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.877 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.877 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.877 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.877 * [taylor]: Taking taylor expansion of y in x
3.877 * [backup-simplify]: Simplify y into y
3.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.877 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.877 * [taylor]: Taking taylor expansion of x in x
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.877 * [taylor]: Taking taylor expansion of z in x
3.877 * [backup-simplify]: Simplify z into z
3.877 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
3.877 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.877 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.877 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
3.877 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.877 * [taylor]: Taking taylor expansion of y in x
3.877 * [backup-simplify]: Simplify y into y
3.877 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
3.877 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.877 * [taylor]: Taking taylor expansion of x in x
3.877 * [backup-simplify]: Simplify 0 into 0
3.877 * [backup-simplify]: Simplify 1 into 1
3.877 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.877 * [taylor]: Taking taylor expansion of z in x
3.877 * [backup-simplify]: Simplify z into z
3.877 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.878 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.878 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.878 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
3.878 * [backup-simplify]: Simplify (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) into (* 0.3333333333333333 (+ (pow y 2) (pow z 2)))
3.878 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (pow y 2) (pow z 2))) in y
3.878 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.878 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.878 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
3.878 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.878 * [taylor]: Taking taylor expansion of y in y
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.878 * [taylor]: Taking taylor expansion of z in y
3.878 * [backup-simplify]: Simplify z into z
3.878 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.878 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
3.878 * [backup-simplify]: Simplify (* 0.3333333333333333 (pow z 2)) into (* 0.3333333333333333 (pow z 2))
3.878 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (pow z 2)) in z
3.878 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.878 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.878 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.878 * [taylor]: Taking taylor expansion of z in z
3.878 * [backup-simplify]: Simplify 0 into 0
3.878 * [backup-simplify]: Simplify 1 into 1
3.878 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.878 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.879 * [backup-simplify]: Simplify (+ 0 0) into 0
3.879 * [backup-simplify]: Simplify (+ 0 0) into 0
3.879 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (+ (pow y 2) (pow z 2)))) into 0
3.879 * [taylor]: Taking taylor expansion of 0 in y
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [taylor]: Taking taylor expansion of 0 in z
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify 0 into 0
3.879 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.880 * [backup-simplify]: Simplify (+ 0 0) into 0
3.880 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 (pow z 2))) into 0
3.880 * [taylor]: Taking taylor expansion of 0 in z
3.880 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify 0 into 0
3.880 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.881 * [backup-simplify]: Simplify (* 1 1) into 1
3.881 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.881 * [backup-simplify]: Simplify (+ 1 0) into 1
3.881 * [backup-simplify]: Simplify (+ 0 1) into 1
3.882 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (+ (pow y 2) (pow z 2))))) into 0.3333333333333333
3.882 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.882 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.882 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.882 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.882 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.882 * [taylor]: Taking taylor expansion of 0 in z
3.882 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify 0 into 0
3.882 * [backup-simplify]: Simplify (* 1 1) into 1
3.883 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.883 * [backup-simplify]: Simplify (+ 1 0) into 1
3.884 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 1) (+ (* 0 0) (* 0 (pow z 2)))) into 0.3333333333333333
3.884 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.884 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.884 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify 0 into 0
3.884 * [backup-simplify]: Simplify (* 1 1) into 1
3.884 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.884 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.885 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* z (* 1 1)) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* y 1)) 2)) (* 0.3333333333333333 (pow (* 1 (* 1 x)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
3.885 * [backup-simplify]: Simplify (* (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 1) (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.0)) into (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.885 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.885 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.885 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.885 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.885 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.885 * [taylor]: Taking taylor expansion of y in z
3.885 * [backup-simplify]: Simplify y into y
3.885 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.885 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.885 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.885 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.885 * [taylor]: Taking taylor expansion of x in z
3.886 * [backup-simplify]: Simplify x into x
3.886 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.886 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.886 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.886 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.886 * [taylor]: Taking taylor expansion of z in z
3.886 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 1 into 1
3.886 * [backup-simplify]: Simplify (* 1 1) into 1
3.886 * [backup-simplify]: Simplify (/ 1 1) into 1
3.886 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.886 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.886 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.886 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.886 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.886 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.886 * [taylor]: Taking taylor expansion of y in y
3.886 * [backup-simplify]: Simplify 0 into 0
3.886 * [backup-simplify]: Simplify 1 into 1
3.887 * [backup-simplify]: Simplify (* 1 1) into 1
3.887 * [backup-simplify]: Simplify (/ 1 1) into 1
3.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.887 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.887 * [taylor]: Taking taylor expansion of x in y
3.887 * [backup-simplify]: Simplify x into x
3.887 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.887 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.887 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.887 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.887 * [taylor]: Taking taylor expansion of z in y
3.887 * [backup-simplify]: Simplify z into z
3.887 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.887 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.887 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.887 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.887 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.887 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.887 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.887 * [taylor]: Taking taylor expansion of y in x
3.887 * [backup-simplify]: Simplify y into y
3.887 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.887 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.887 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.887 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.887 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.887 * [taylor]: Taking taylor expansion of x in x
3.887 * [backup-simplify]: Simplify 0 into 0
3.887 * [backup-simplify]: Simplify 1 into 1
3.888 * [backup-simplify]: Simplify (* 1 1) into 1
3.888 * [backup-simplify]: Simplify (/ 1 1) into 1
3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.888 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.888 * [taylor]: Taking taylor expansion of z in x
3.888 * [backup-simplify]: Simplify z into z
3.888 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.888 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.888 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.888 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.888 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.888 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.888 * [taylor]: Taking taylor expansion of y in x
3.888 * [backup-simplify]: Simplify y into y
3.888 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.888 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.888 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.888 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.888 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.888 * [taylor]: Taking taylor expansion of x in x
3.888 * [backup-simplify]: Simplify 0 into 0
3.888 * [backup-simplify]: Simplify 1 into 1
3.889 * [backup-simplify]: Simplify (* 1 1) into 1
3.889 * [backup-simplify]: Simplify (/ 1 1) into 1
3.889 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.889 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.889 * [taylor]: Taking taylor expansion of z in x
3.889 * [backup-simplify]: Simplify z into z
3.889 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.889 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.889 * [backup-simplify]: Simplify (+ 1 0) into 1
3.890 * [backup-simplify]: Simplify (+ 0 1) into 1
3.890 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.890 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.890 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.891 * [backup-simplify]: Simplify (+ 0 0) into 0
3.891 * [backup-simplify]: Simplify (+ 0 0) into 0
3.892 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
3.892 * [taylor]: Taking taylor expansion of 0 in y
3.892 * [backup-simplify]: Simplify 0 into 0
3.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.893 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.893 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.894 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2))))
3.894 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
3.894 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
3.894 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.894 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.894 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.894 * [taylor]: Taking taylor expansion of y in y
3.894 * [backup-simplify]: Simplify 0 into 0
3.894 * [backup-simplify]: Simplify 1 into 1
3.894 * [backup-simplify]: Simplify (* 1 1) into 1
3.894 * [backup-simplify]: Simplify (/ 1 1) into 1
3.894 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
3.894 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.894 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.894 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.894 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.894 * [taylor]: Taking taylor expansion of z in y
3.894 * [backup-simplify]: Simplify z into z
3.894 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.894 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.895 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.895 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
3.895 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.895 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.895 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.895 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.895 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.896 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.897 * [backup-simplify]: Simplify (+ 0 0) into 0
3.897 * [backup-simplify]: Simplify (+ 0 0) into 0
3.898 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
3.898 * [taylor]: Taking taylor expansion of 0 in y
3.898 * [backup-simplify]: Simplify 0 into 0
3.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.899 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
3.899 * [backup-simplify]: Simplify (+ 0 0) into 0
3.899 * [taylor]: Taking taylor expansion of 0 in z
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [taylor]: Taking taylor expansion of 0 in z
3.899 * [backup-simplify]: Simplify 0 into 0
3.899 * [taylor]: Taking taylor expansion of 0 in z
3.900 * [backup-simplify]: Simplify 0 into 0
3.900 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.901 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.902 * [backup-simplify]: Simplify (+ 0 0) into 0
3.902 * [backup-simplify]: Simplify (+ 0 0) into 0
3.903 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
3.903 * [taylor]: Taking taylor expansion of 0 in y
3.903 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.905 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
3.905 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
3.905 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
3.905 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
3.905 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.905 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.905 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.905 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.905 * [taylor]: Taking taylor expansion of z in z
3.905 * [backup-simplify]: Simplify 0 into 0
3.905 * [backup-simplify]: Simplify 1 into 1
3.906 * [backup-simplify]: Simplify (* 1 1) into 1
3.906 * [backup-simplify]: Simplify (/ 1 1) into 1
3.906 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.906 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.906 * [taylor]: Taking taylor expansion of 0 in z
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [taylor]: Taking taylor expansion of 0 in z
3.906 * [backup-simplify]: Simplify 0 into 0
3.906 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.906 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.907 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 x)))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 y)) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 z)) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
3.908 * [backup-simplify]: Simplify (* (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) 1) (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) 3.0)) into (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
3.908 * [approximate]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
3.908 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
3.908 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.908 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
3.908 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
3.908 * [taylor]: Taking taylor expansion of (pow y 2) in z
3.908 * [taylor]: Taking taylor expansion of y in z
3.908 * [backup-simplify]: Simplify y into y
3.908 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.908 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
3.908 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
3.908 * [taylor]: Taking taylor expansion of (pow x 2) in z
3.908 * [taylor]: Taking taylor expansion of x in z
3.908 * [backup-simplify]: Simplify x into x
3.908 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.908 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.908 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.908 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.908 * [taylor]: Taking taylor expansion of z in z
3.908 * [backup-simplify]: Simplify 0 into 0
3.908 * [backup-simplify]: Simplify 1 into 1
3.908 * [backup-simplify]: Simplify (* 1 1) into 1
3.909 * [backup-simplify]: Simplify (/ 1 1) into 1
3.909 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
3.909 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.909 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
3.909 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.909 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.909 * [taylor]: Taking taylor expansion of y in y
3.909 * [backup-simplify]: Simplify 0 into 0
3.909 * [backup-simplify]: Simplify 1 into 1
3.909 * [backup-simplify]: Simplify (* 1 1) into 1
3.909 * [backup-simplify]: Simplify (/ 1 1) into 1
3.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
3.910 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
3.910 * [taylor]: Taking taylor expansion of (pow x 2) in y
3.910 * [taylor]: Taking taylor expansion of x in y
3.910 * [backup-simplify]: Simplify x into x
3.910 * [backup-simplify]: Simplify (* x x) into (pow x 2)
3.910 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
3.910 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.910 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.910 * [taylor]: Taking taylor expansion of z in y
3.910 * [backup-simplify]: Simplify z into z
3.910 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.910 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.910 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.910 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.910 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.910 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.910 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.910 * [taylor]: Taking taylor expansion of y in x
3.910 * [backup-simplify]: Simplify y into y
3.910 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.910 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.911 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.911 * [taylor]: Taking taylor expansion of x in x
3.911 * [backup-simplify]: Simplify 0 into 0
3.911 * [backup-simplify]: Simplify 1 into 1
3.911 * [backup-simplify]: Simplify (* 1 1) into 1
3.911 * [backup-simplify]: Simplify (/ 1 1) into 1
3.911 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.911 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.912 * [taylor]: Taking taylor expansion of z in x
3.912 * [backup-simplify]: Simplify z into z
3.912 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.912 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.912 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
3.912 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
3.912 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
3.912 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
3.912 * [taylor]: Taking taylor expansion of (pow y 2) in x
3.912 * [taylor]: Taking taylor expansion of y in x
3.912 * [backup-simplify]: Simplify y into y
3.912 * [backup-simplify]: Simplify (* y y) into (pow y 2)
3.912 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
3.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
3.912 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
3.912 * [taylor]: Taking taylor expansion of (pow x 2) in x
3.912 * [taylor]: Taking taylor expansion of x in x
3.912 * [backup-simplify]: Simplify 0 into 0
3.912 * [backup-simplify]: Simplify 1 into 1
3.913 * [backup-simplify]: Simplify (* 1 1) into 1
3.913 * [backup-simplify]: Simplify (/ 1 1) into 1
3.913 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
3.913 * [taylor]: Taking taylor expansion of (pow z 2) in x
3.913 * [taylor]: Taking taylor expansion of z in x
3.913 * [backup-simplify]: Simplify z into z
3.913 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.913 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.914 * [backup-simplify]: Simplify (+ 1 0) into 1
3.914 * [backup-simplify]: Simplify (+ 0 1) into 1
3.915 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.915 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.915 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.917 * [backup-simplify]: Simplify (+ 0 0) into 0
3.917 * [backup-simplify]: Simplify (+ 0 0) into 0
3.918 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
3.918 * [taylor]: Taking taylor expansion of 0 in y
3.918 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.920 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
3.920 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
3.921 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))) into (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2))))
3.921 * [taylor]: Taking taylor expansion of (+ (* 0.3333333333333333 (/ 1 (pow y 2))) (* 0.3333333333333333 (/ 1 (pow z 2)))) in y
3.921 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow y 2))) in y
3.921 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.921 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
3.922 * [taylor]: Taking taylor expansion of (pow y 2) in y
3.922 * [taylor]: Taking taylor expansion of y in y
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 1 into 1
3.922 * [backup-simplify]: Simplify (* 1 1) into 1
3.922 * [backup-simplify]: Simplify (/ 1 1) into 1
3.922 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in y
3.922 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
3.923 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.923 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
3.923 * [taylor]: Taking taylor expansion of (pow z 2) in y
3.923 * [taylor]: Taking taylor expansion of z in y
3.923 * [backup-simplify]: Simplify z into z
3.923 * [backup-simplify]: Simplify (* z z) into (pow z 2)
3.923 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
3.923 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.924 * [backup-simplify]: Simplify (+ 0.3333333333333333 0) into 0.3333333333333333
3.924 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.924 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.924 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.924 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.924 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
3.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
3.925 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.926 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
3.927 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
3.927 * [backup-simplify]: Simplify (+ 0 0) into 0
3.927 * [backup-simplify]: Simplify (+ 0 0) into 0
3.929 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1)))) into 0
3.929 * [taylor]: Taking taylor expansion of 0 in y
3.929 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.931 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (* 0 1)) into 0
3.931 * [backup-simplify]: Simplify (+ 0 0) into 0
3.932 * [taylor]: Taking taylor expansion of 0 in z
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [taylor]: Taking taylor expansion of 0 in z
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [taylor]: Taking taylor expansion of 0 in z
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
3.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
3.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.935 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
3.936 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
3.936 * [backup-simplify]: Simplify (+ 0 0) into 0
3.936 * [backup-simplify]: Simplify (+ 0 0) into 0
3.938 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (+ (* 0 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1))))) into 0
3.938 * [taylor]: Taking taylor expansion of 0 in y
3.938 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.942 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 0) (+ (* 0 0) (* 0 1))) into 0
3.942 * [backup-simplify]: Simplify (* 0.3333333333333333 (/ 1 (pow z 2))) into (/ 0.3333333333333333 (pow z 2))
3.942 * [backup-simplify]: Simplify (+ 0 (/ 0.3333333333333333 (pow z 2))) into (* 0.3333333333333333 (/ 1 (pow z 2)))
3.942 * [taylor]: Taking taylor expansion of (* 0.3333333333333333 (/ 1 (pow z 2))) in z
3.942 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
3.942 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.942 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
3.942 * [taylor]: Taking taylor expansion of (pow z 2) in z
3.942 * [taylor]: Taking taylor expansion of z in z
3.942 * [backup-simplify]: Simplify 0 into 0
3.942 * [backup-simplify]: Simplify 1 into 1
3.943 * [backup-simplify]: Simplify (* 1 1) into 1
3.943 * [backup-simplify]: Simplify (/ 1 1) into 1
3.944 * [backup-simplify]: Simplify (* 0.3333333333333333 1) into 0.3333333333333333
3.944 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.944 * [taylor]: Taking taylor expansion of 0 in z
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [taylor]: Taking taylor expansion of 0 in z
3.944 * [backup-simplify]: Simplify 0 into 0
3.944 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.944 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
3.945 * [backup-simplify]: Simplify (+ (* 0.3333333333333333 (pow (* 1 (* 1 (/ 1 (/ 1 (- x))))) 2)) (+ (* 0.3333333333333333 (pow (* 1 (* (/ 1 (/ 1 (- y))) 1)) 2)) (* 0.3333333333333333 (pow (* (/ 1 (/ 1 (- z))) (* 1 1)) 2)))) into (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
3.945 * * * [progress]: simplifying candidates
3.945 * * * * [progress]: [ 1 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (pow (+ (+ (* x x) (* y y)) (* z z)) 1/2) 3.0))))>
3.945 * * * * [progress]: [ 2 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) 3.0))))>
3.945 * * * * [progress]: [ 3 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
3.945 * * * * [progress]: [ 4 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (log (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
3.945 * * * * [progress]: [ 5 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
3.945 * * * * [progress]: [ 6 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (cbrt (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
3.945 * * * * [progress]: [ 7 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
3.946 * * * * [progress]: [ 8 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
3.946 * * * * [progress]: [ 9 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
3.946 * * * * [progress]: [ 10 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (/ (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)))))) 3.0))))>
3.946 * * * * [progress]: [ 11 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))) 3.0))))>
3.946 * * * * [progress]: [ 12 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (pow (+ (+ (* x x) (* y y)) (* z z)) (/ 1 2)) 3.0))))>
3.946 * * * * [progress]: [ 13 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
3.946 * * * * [progress]: [ 14 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (fabs (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
3.946 * * * * [progress]: [ 15 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* 1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
3.946 * * * * [progress]: [ 16 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (posit16->real (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
3.946 * * * * [progress]: [ 17 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (pow (+ (+ (* x x) (* y y)) (* z z)) 1/2) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.946 * * * * [progress]: [ 18 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.946 * * * * [progress]: [ 19 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.946 * * * * [progress]: [ 20 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (log (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.946 * * * * [progress]: [ 21 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.946 * * * * [progress]: [ 22 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (cbrt (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.946 * * * * [progress]: [ 23 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 24 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 25 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 26 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (/ (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)))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 27 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 28 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (pow (+ (+ (* x x) (* y y)) (* z z)) (/ 1 2)) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 29 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 30 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (fabs (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 31 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* 1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 32 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (posit16->real (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.947 * * * * [progress]: [ 33 / 141 ] simplifiying candidate #<alt (λ (x y z) (pow (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) 1/2))>
3.947 * * * * [progress]: [ 34 / 141 ] simplifiying candidate #<alt (λ (x y z) (pow (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) 1))>
3.947 * * * * [progress]: [ 35 / 141 ] simplifiying candidate #<alt (λ (x y z) (exp (log (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.947 * * * * [progress]: [ 36 / 141 ] simplifiying candidate #<alt (λ (x y z) (log (exp (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.947 * * * * [progress]: [ 37 / 141 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (cbrt (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))) (cbrt (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.947 * * * * [progress]: [ 38 / 141 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.948 * * * * [progress]: [ 39 / 141 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.948 * * * * [progress]: [ 40 / 141 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* 1 3.0))))>
3.948 * * * * [progress]: [ 41 / 141 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
3.948 * * * * [progress]: [ 42 / 141 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt 1)))>
3.948 * * * * [progress]: [ 43 / 141 ] simplifiying candidate #<alt (λ (x y z) (pow (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (/ 1 2)))>
3.948 * * * * [progress]: [ 44 / 141 ] simplifiying candidate #<alt (λ (x y z) (pow (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (/ 1 2)))>
3.948 * * * * [progress]: [ 45 / 141 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (sqrt (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.948 * * * * [progress]: [ 46 / 141 ] simplifiying candidate #<alt (λ (x y z) (* 1 (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.948 * * * * [progress]: [ 47 / 141 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.948 * * * * [progress]: [ 48 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (pow (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) 1)))>
3.948 * * * * [progress]: [ 49 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (pow (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) 1)))>
3.948 * * * * [progress]: [ 50 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (+ (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 0) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 3.0))))))>
3.948 * * * * [progress]: [ 51 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (+ (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 0) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.948 * * * * [progress]: [ 52 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (+ (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 1)) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 3.0))))))>
3.948 * * * * [progress]: [ 53 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (+ (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 1)) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.948 * * * * [progress]: [ 54 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (+ (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 3.0))))))>
3.949 * * * * [progress]: [ 55 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (+ (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 56 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (exp (log (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 57 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (log (exp (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 58 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (* (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* 1 1) 1)) (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* 3.0 3.0) 3.0))))))>
3.949 * * * * [progress]: [ 59 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (* (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* 1 1) 1)) (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 60 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (* (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* 3.0 3.0) 3.0))))))>
3.949 * * * * [progress]: [ 61 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (* (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 62 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (cbrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (cbrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (cbrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 63 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (cbrt (* (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 64 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 65 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* 1 3.0))))>
3.949 * * * * [progress]: [ 66 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* 1 (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.949 * * * * [progress]: [ 67 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.949 * * * * [progress]: [ 68 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.950 * * * * [progress]: [ 69 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.950 * * * * [progress]: [ 70 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.950 * * * * [progress]: [ 71 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.950 * * * * [progress]: [ 72 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.950 * * * * [progress]: [ 73 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.950 * * * * [progress]: [ 74 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.950 * * * * [progress]: [ 75 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.950 * * * * [progress]: [ 76 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.950 * * * * [progress]: [ 77 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.950 * * * * [progress]: [ 78 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.950 * * * * [progress]: [ 79 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.950 * * * * [progress]: [ 80 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.951 * * * * [progress]: [ 81 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))))))>
3.951 * * * * [progress]: [ 82 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.951 * * * * [progress]: [ 83 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.951 * * * * [progress]: [ 84 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt 3.0) (cbrt 3.0)))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))))>
3.951 * * * * [progress]: [ 85 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))))>
3.951 * * * * [progress]: [ 86 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1)) (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
3.951 * * * * [progress]: [ 87 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))))>
3.951 * * * * [progress]: [ 88 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0))) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))))>
3.951 * * * * [progress]: [ 89 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 1)) (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
3.951 * * * * [progress]: [ 90 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))))>
3.951 * * * * [progress]: [ 91 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))))>
3.951 * * * * [progress]: [ 92 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
3.951 * * * * [progress]: [ 93 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
3.952 * * * * [progress]: [ 94 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt 1) (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
3.952 * * * * [progress]: [ 95 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt 1) 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.952 * * * * [progress]: [ 96 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 3.0)))))>
3.952 * * * * [progress]: [ 97 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0))) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))))>
3.952 * * * * [progress]: [ 98 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
3.952 * * * * [progress]: [ 99 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 3.0)))))>
3.952 * * * * [progress]: [ 100 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ 1 (sqrt 3.0))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 3.0)))))>
3.952 * * * * [progress]: [ 101 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ 1 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.952 * * * * [progress]: [ 102 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.952 * * * * [progress]: [ 103 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (/ 1 3.0))))>
3.952 * * * * [progress]: [ 104 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1))) (* (cbrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.952 * * * * [progress]: [ 105 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.952 * * * * [progress]: [ 106 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt 1) (cbrt 1))) (* (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.952 * * * * [progress]: [ 107 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1)) (* (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 108 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (* (/ (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 109 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 110 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 1)) (* (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 111 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (* (/ (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 112 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 113 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 114 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 115 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt 1) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 116 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt 1) (sqrt 1)) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 117 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt 1) 1) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 118 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 119 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 120 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.953 * * * * [progress]: [ 121 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 (* (cbrt 1) (cbrt 1))) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.954 * * * * [progress]: [ 122 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 (sqrt 1)) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.954 * * * * [progress]: [ 123 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ 1 1) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.954 * * * * [progress]: [ 124 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* 1 (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.954 * * * * [progress]: [ 125 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (* (/ 1 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
3.954 * * * * [progress]: [ 126 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0)))>
3.954 * * * * [progress]: [ 127 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (/ (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) 1)))>
3.954 * * * * [progress]: [ 128 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (posit16->real (real->posit16 (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
3.954 * * * * [progress]: [ 129 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1))))>
3.954 * * * * [progress]: [ 130 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ z 3.0))))>
3.954 * * * * [progress]: [ 131 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ x 3.0))))>
3.954 * * * * [progress]: [ 132 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (* -1 x) 3.0))))>
3.954 * * * * [progress]: [ 133 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ z 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.954 * * * * [progress]: [ 134 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ x 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.955 * * * * [progress]: [ 135 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* -1 x) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
3.955 * * * * [progress]: [ 136 / 141 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
3.955 * * * * [progress]: [ 137 / 141 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
3.955 * * * * [progress]: [ 138 / 141 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
3.955 * * * * [progress]: [ 139 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
3.955 * * * * [progress]: [ 140 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
3.955 * * * * [progress]: [ 141 / 141 ] simplifiying candidate #<alt (λ (x y z) (sqrt (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))))>
3.958 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (real->posit16 (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))))
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  (log (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (exp (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
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  (cbrt (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
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  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
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  (sqrt 3.0)
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  (/ 1 2)
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  (sqrt (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
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  (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (+ (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 0) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 3.0)))
  (+ (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 0) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (+ (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 1)) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 3.0)))
  (+ (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 1)) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (+ (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (- (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (log 3.0)))
  (+ (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (log (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
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  (exp (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* 1 1) 1)) (/ (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (* (* 3.0 3.0) 3.0)))
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  (cbrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (* (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
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  (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
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  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 1)) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
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  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt 3.0)))
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  (* (/ (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt 1)) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
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  (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (/ 1 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (real->posit16 (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
  (+ (* 0.3333333333333333 (pow y 2)) (+ (* 0.3333333333333333 (pow x 2)) (* 0.3333333333333333 (pow z 2))))
3.963 * * [simplify]: iteration 0: 182 enodes
4.084 * * [simplify]: iteration 1: 538 enodes
4.330 * * [simplify]: iteration 2: 1156 enodes
5.080 * * [simplify]: iteration 3: 4206 enodes
6.294 * * [simplify]: iteration complete: 5191 enodes
6.294 * * [simplify]: Extracting #0: cost 60 inf + 0
6.296 * * [simplify]: Extracting #1: cost 447 inf + 46
6.303 * * [simplify]: Extracting #2: cost 1239 inf + 1581
6.317 * * [simplify]: Extracting #3: cost 1370 inf + 14728
6.339 * * [simplify]: Extracting #4: cost 1012 inf + 106737
6.448 * * [simplify]: Extracting #5: cost 249 inf + 391344
6.593 * * [simplify]: Extracting #6: cost 13 inf + 493035
6.750 * * [simplify]: Extracting #7: cost 0 inf + 498187
6.919 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (exp (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (+ (* x x) (+ (* y y) (* z z))))
  (fabs (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* (* z z) (* (* z z) (* z z))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))))
  (sqrt (+ (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (- (* z z) (+ (* y y) (* x x))) (* z z))))
  (sqrt (* (+ (+ (* y y) (* x x)) (* z z)) (- (+ (* y y) (* x x)) (* z z))))
  (sqrt (+ (- (* x x) (* z z)) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (real->posit16 (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)))) (+ (* x x) (+ (* y y) (* z z))))
  (fabs (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* (* z z) (* (* z z) (* z z))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x)))))
  (sqrt (+ (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (* (- (* z z) (+ (* y y) (* x x))) (* z z))))
  (sqrt (* (+ (+ (* y y) (* x x)) (* z z)) (- (+ (* y y) (* x x)) (* z z))))
  (sqrt (+ (- (* x x) (* z z)) (* y y)))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (real->posit16 (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (log (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (exp (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (* (cbrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))) (cbrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))))
  (cbrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt 3.0)
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt 3.0)
  (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  1
  1/2
  1/2
  (sqrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (sqrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (real->posit16 (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (log (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (log (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (log (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (log (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (log (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (log (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (log (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (exp (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (* (cbrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)) (cbrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (cbrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  (+ (* x x) (+ (* y y) (* z z)))
  3.0
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (* (* (cbrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) (cbrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))
  (* (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (/ (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0))) (/ (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0)))
  (* (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0)) (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))))
  (* (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (/ (* (fabs (cbrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0)) (cbrt 3.0))
  (* (/ (fabs (cbrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (fabs (cbrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (/ (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt 3.0)) (cbrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (* (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (* (cbrt 3.0) (cbrt 3.0))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0)))
  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (/ (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt 3.0)) (cbrt 3.0))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (+ (* x x) (+ (* y y) (* z z)))
  (* (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ 3.0 (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (* (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (* (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (* (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (/ 3.0 (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (/ 3.0 (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))))
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (/ 3.0 (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))))
  (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ 3.0 (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ 3.0 (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ 3.0 (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ 3.0 (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ 3.0 (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ 3.0 (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)
  (+ (* x x) (+ (* y y) (* z z)))
  (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)
  (real->posit16 (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  z
  x
  (- x)
  z
  x
  (- x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* (- (sqrt 0.3333333333333333)) x)
  (* 0.3333333333333333 (+ (* x x) (+ (* y y) (* z z))))
  (* 0.3333333333333333 (+ (* x x) (+ (* y y) (* z z))))
  (* 0.3333333333333333 (+ (* x x) (+ (* y y) (* z z))))
6.933 * * * [progress]: adding candidates to table
7.726 * * [progress]: iteration 3 / 4
7.726 * * * [progress]: picking best candidate
7.748 * * * * [pick]: Picked  #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
7.749 * * * [progress]: localizing error
7.793 * * * [progress]: generating rewritten candidates
7.793 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2 1)
7.841 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 1 2 1)
7.886 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1 1 1)
7.932 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
8.132 * * * [progress]: generating series expansions
8.132 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2 1)
8.132 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
8.132 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
8.132 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
8.132 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
8.132 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.132 * [taylor]: Taking taylor expansion of y in z
8.132 * [backup-simplify]: Simplify y into y
8.132 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.132 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.132 * [taylor]: Taking taylor expansion of x in z
8.132 * [backup-simplify]: Simplify x into x
8.132 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.132 * [taylor]: Taking taylor expansion of z in z
8.132 * [backup-simplify]: Simplify 0 into 0
8.132 * [backup-simplify]: Simplify 1 into 1
8.132 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.132 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.132 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.132 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
8.133 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
8.133 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.133 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.133 * [backup-simplify]: Simplify (+ 0 0) into 0
8.134 * [backup-simplify]: Simplify (+ 0 0) into 0
8.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
8.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
8.134 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
8.134 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.134 * [taylor]: Taking taylor expansion of y in y
8.134 * [backup-simplify]: Simplify 0 into 0
8.134 * [backup-simplify]: Simplify 1 into 1
8.134 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
8.134 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.134 * [taylor]: Taking taylor expansion of x in y
8.134 * [backup-simplify]: Simplify x into x
8.134 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.134 * [taylor]: Taking taylor expansion of z in y
8.134 * [backup-simplify]: Simplify z into z
8.135 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.135 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.135 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.135 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
8.135 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
8.135 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.135 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.136 * [backup-simplify]: Simplify (+ 0 0) into 0
8.136 * [backup-simplify]: Simplify (+ 0 0) into 0
8.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
8.136 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.136 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.136 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.136 * [taylor]: Taking taylor expansion of y in x
8.136 * [backup-simplify]: Simplify y into y
8.136 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.137 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.137 * [taylor]: Taking taylor expansion of x in x
8.137 * [backup-simplify]: Simplify 0 into 0
8.137 * [backup-simplify]: Simplify 1 into 1
8.137 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.137 * [taylor]: Taking taylor expansion of z in x
8.137 * [backup-simplify]: Simplify z into z
8.137 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.137 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.137 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.137 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.137 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.137 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.137 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.138 * [backup-simplify]: Simplify (+ 0 0) into 0
8.138 * [backup-simplify]: Simplify (+ 0 0) into 0
8.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.138 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.138 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.138 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.139 * [taylor]: Taking taylor expansion of y in x
8.139 * [backup-simplify]: Simplify y into y
8.139 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.139 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.139 * [taylor]: Taking taylor expansion of x in x
8.139 * [backup-simplify]: Simplify 0 into 0
8.139 * [backup-simplify]: Simplify 1 into 1
8.139 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.139 * [taylor]: Taking taylor expansion of z in x
8.139 * [backup-simplify]: Simplify z into z
8.139 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.139 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.139 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.139 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.139 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.139 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.139 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.140 * [backup-simplify]: Simplify (+ 0 0) into 0
8.140 * [backup-simplify]: Simplify (+ 0 0) into 0
8.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.141 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
8.141 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.141 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.141 * [taylor]: Taking taylor expansion of y in y
8.141 * [backup-simplify]: Simplify 0 into 0
8.141 * [backup-simplify]: Simplify 1 into 1
8.141 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.141 * [taylor]: Taking taylor expansion of z in y
8.141 * [backup-simplify]: Simplify z into z
8.141 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.141 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.141 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
8.141 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.142 * [backup-simplify]: Simplify (+ 0 0) into 0
8.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
8.142 * [taylor]: Taking taylor expansion of z in z
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [taylor]: Taking taylor expansion of 0 in y
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [taylor]: Taking taylor expansion of 0 in z
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [taylor]: Taking taylor expansion of 0 in z
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 0 into 0
8.142 * [backup-simplify]: Simplify 1 into 1
8.143 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.143 * [backup-simplify]: Simplify (* 1 1) into 1
8.143 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.144 * [backup-simplify]: Simplify (+ 1 0) into 1
8.144 * [backup-simplify]: Simplify (+ 0 1) into 1
8.145 * [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)))))
8.145 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
8.145 * [taylor]: Taking taylor expansion of 1/2 in y
8.145 * [backup-simplify]: Simplify 1/2 into 1/2
8.145 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
8.145 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
8.145 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.145 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.146 * [taylor]: Taking taylor expansion of y in y
8.146 * [backup-simplify]: Simplify 0 into 0
8.146 * [backup-simplify]: Simplify 1 into 1
8.146 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.146 * [taylor]: Taking taylor expansion of z in y
8.146 * [backup-simplify]: Simplify z into z
8.146 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.146 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.146 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.146 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
8.146 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.147 * [backup-simplify]: Simplify (+ 0 0) into 0
8.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.147 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
8.147 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
8.147 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
8.147 * [taylor]: Taking taylor expansion of 1/2 in z
8.147 * [backup-simplify]: Simplify 1/2 into 1/2
8.147 * [taylor]: Taking taylor expansion of z in z
8.147 * [backup-simplify]: Simplify 0 into 0
8.147 * [backup-simplify]: Simplify 1 into 1
8.148 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [taylor]: Taking taylor expansion of 0 in z
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify 0 into 0
8.149 * [backup-simplify]: Simplify (* 1 1) into 1
8.150 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.150 * [backup-simplify]: Simplify (+ 1 0) into 1
8.151 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
8.151 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
8.151 * [taylor]: Taking taylor expansion of 1/2 in z
8.151 * [backup-simplify]: Simplify 1/2 into 1/2
8.151 * [taylor]: Taking taylor expansion of z in z
8.151 * [backup-simplify]: Simplify 0 into 0
8.151 * [backup-simplify]: Simplify 1 into 1
8.152 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify 0 into 0
8.153 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
8.154 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
8.154 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
8.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.154 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.154 * [taylor]: Taking taylor expansion of y in z
8.154 * [backup-simplify]: Simplify y into y
8.154 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.154 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.154 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.154 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.154 * [taylor]: Taking taylor expansion of x in z
8.154 * [backup-simplify]: Simplify x into x
8.154 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.154 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.154 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.154 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.154 * [taylor]: Taking taylor expansion of z in z
8.154 * [backup-simplify]: Simplify 0 into 0
8.154 * [backup-simplify]: Simplify 1 into 1
8.155 * [backup-simplify]: Simplify (* 1 1) into 1
8.155 * [backup-simplify]: Simplify (/ 1 1) into 1
8.156 * [backup-simplify]: Simplify (+ 0 1) into 1
8.156 * [backup-simplify]: Simplify (+ 0 1) into 1
8.156 * [backup-simplify]: Simplify (sqrt 1) into 1
8.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.158 * [backup-simplify]: Simplify (+ 0 0) into 0
8.159 * [backup-simplify]: Simplify (+ 0 0) into 0
8.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.160 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.160 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.160 * [taylor]: Taking taylor expansion of y in y
8.160 * [backup-simplify]: Simplify 0 into 0
8.160 * [backup-simplify]: Simplify 1 into 1
8.160 * [backup-simplify]: Simplify (* 1 1) into 1
8.161 * [backup-simplify]: Simplify (/ 1 1) into 1
8.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.161 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.161 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.161 * [taylor]: Taking taylor expansion of x in y
8.161 * [backup-simplify]: Simplify x into x
8.161 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.161 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.161 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.161 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.161 * [taylor]: Taking taylor expansion of z in y
8.161 * [backup-simplify]: Simplify z into z
8.161 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.161 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.162 * [backup-simplify]: Simplify (+ 1 0) into 1
8.162 * [backup-simplify]: Simplify (sqrt 1) into 1
8.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.164 * [backup-simplify]: Simplify (+ 0 0) into 0
8.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.165 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.165 * [taylor]: Taking taylor expansion of y in x
8.165 * [backup-simplify]: Simplify y into y
8.165 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.165 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.165 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.165 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.165 * [taylor]: Taking taylor expansion of x in x
8.165 * [backup-simplify]: Simplify 0 into 0
8.165 * [backup-simplify]: Simplify 1 into 1
8.165 * [backup-simplify]: Simplify (* 1 1) into 1
8.166 * [backup-simplify]: Simplify (/ 1 1) into 1
8.166 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.166 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.166 * [taylor]: Taking taylor expansion of z in x
8.166 * [backup-simplify]: Simplify z into z
8.166 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.166 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.167 * [backup-simplify]: Simplify (+ 1 0) into 1
8.167 * [backup-simplify]: Simplify (+ 0 1) into 1
8.167 * [backup-simplify]: Simplify (sqrt 1) into 1
8.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.169 * [backup-simplify]: Simplify (+ 0 0) into 0
8.170 * [backup-simplify]: Simplify (+ 0 0) into 0
8.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.170 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.170 * [taylor]: Taking taylor expansion of y in x
8.171 * [backup-simplify]: Simplify y into y
8.171 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.171 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.171 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.171 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.171 * [taylor]: Taking taylor expansion of x in x
8.171 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify 1 into 1
8.171 * [backup-simplify]: Simplify (* 1 1) into 1
8.172 * [backup-simplify]: Simplify (/ 1 1) into 1
8.172 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.172 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.172 * [taylor]: Taking taylor expansion of z in x
8.172 * [backup-simplify]: Simplify z into z
8.172 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.172 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.172 * [backup-simplify]: Simplify (+ 1 0) into 1
8.173 * [backup-simplify]: Simplify (+ 0 1) into 1
8.173 * [backup-simplify]: Simplify (sqrt 1) into 1
8.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.175 * [backup-simplify]: Simplify (+ 0 0) into 0
8.175 * [backup-simplify]: Simplify (+ 0 0) into 0
8.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.177 * [taylor]: Taking taylor expansion of 1 in y
8.177 * [backup-simplify]: Simplify 1 into 1
8.177 * [taylor]: Taking taylor expansion of 0 in y
8.177 * [backup-simplify]: Simplify 0 into 0
8.177 * [taylor]: Taking taylor expansion of 1 in z
8.177 * [backup-simplify]: Simplify 1 into 1
8.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.179 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.179 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.180 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
8.180 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
8.180 * [taylor]: Taking taylor expansion of 1/2 in y
8.180 * [backup-simplify]: Simplify 1/2 into 1/2
8.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
8.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.181 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.181 * [taylor]: Taking taylor expansion of y in y
8.181 * [backup-simplify]: Simplify 0 into 0
8.181 * [backup-simplify]: Simplify 1 into 1
8.181 * [backup-simplify]: Simplify (* 1 1) into 1
8.181 * [backup-simplify]: Simplify (/ 1 1) into 1
8.181 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.181 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.181 * [taylor]: Taking taylor expansion of z in y
8.182 * [backup-simplify]: Simplify z into z
8.182 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.182 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.183 * [backup-simplify]: Simplify (+ 0 0) into 0
8.184 * [backup-simplify]: Simplify (+ 1 0) into 1
8.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.185 * [taylor]: Taking taylor expansion of 0 in z
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [taylor]: Taking taylor expansion of 0 in z
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [taylor]: Taking taylor expansion of 0 in z
8.185 * [backup-simplify]: Simplify 0 into 0
8.185 * [backup-simplify]: Simplify 1 into 1
8.185 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.187 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.188 * [backup-simplify]: Simplify (+ 0 0) into 0
8.188 * [backup-simplify]: Simplify (+ 0 0) into 0
8.189 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.189 * [taylor]: Taking taylor expansion of 0 in y
8.189 * [backup-simplify]: Simplify 0 into 0
8.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.190 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.191 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
8.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
8.191 * [taylor]: Taking taylor expansion of 1/2 in z
8.191 * [backup-simplify]: Simplify 1/2 into 1/2
8.191 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.191 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.191 * [taylor]: Taking taylor expansion of z in z
8.191 * [backup-simplify]: Simplify 0 into 0
8.191 * [backup-simplify]: Simplify 1 into 1
8.191 * [backup-simplify]: Simplify (* 1 1) into 1
8.191 * [backup-simplify]: Simplify (/ 1 1) into 1
8.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [taylor]: Taking taylor expansion of 0 in z
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [taylor]: Taking taylor expansion of 0 in z
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify 0 into 0
8.193 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.195 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.195 * [backup-simplify]: Simplify (+ 0 0) into 0
8.196 * [backup-simplify]: Simplify (+ 0 0) into 0
8.197 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.197 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
8.197 * [taylor]: Taking taylor expansion of -1/2 in y
8.197 * [backup-simplify]: Simplify -1/2 into -1/2
8.197 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
8.197 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
8.197 * [taylor]: Taking taylor expansion of 1/2 in y
8.197 * [backup-simplify]: Simplify 1/2 into 1/2
8.197 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
8.197 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.197 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.197 * [taylor]: Taking taylor expansion of z in y
8.197 * [backup-simplify]: Simplify z into z
8.197 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.197 * [taylor]: Taking taylor expansion of y in y
8.197 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify 1 into 1
8.197 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.197 * [backup-simplify]: Simplify (* 1 1) into 1
8.197 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.197 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.197 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
8.197 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.197 * [taylor]: Taking taylor expansion of 1/4 in y
8.197 * [backup-simplify]: Simplify 1/4 into 1/4
8.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.197 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.197 * [taylor]: Taking taylor expansion of y in y
8.197 * [backup-simplify]: Simplify 0 into 0
8.197 * [backup-simplify]: Simplify 1 into 1
8.198 * [backup-simplify]: Simplify (* 1 1) into 1
8.198 * [backup-simplify]: Simplify (* 1 1) into 1
8.198 * [backup-simplify]: Simplify (/ 1 1) into 1
8.198 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
8.198 * [taylor]: Taking taylor expansion of 1/4 in y
8.198 * [backup-simplify]: Simplify 1/4 into 1/4
8.198 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
8.198 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.198 * [taylor]: Taking taylor expansion of z in y
8.198 * [backup-simplify]: Simplify z into z
8.198 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.198 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.198 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
8.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.199 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.199 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.200 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
8.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.205 * [backup-simplify]: Simplify (+ 0 0) into 0
8.205 * [backup-simplify]: Simplify (+ 0 0) into 0
8.205 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
8.206 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.206 * [backup-simplify]: Simplify (+ 0 0) into 0
8.206 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
8.207 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.207 * [backup-simplify]: Simplify (+ 0 0) into 0
8.207 * [backup-simplify]: Simplify (+ 0 0) into 0
8.208 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.208 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
8.208 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.209 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.209 * [taylor]: Taking taylor expansion of 0 in z
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [taylor]: Taking taylor expansion of 0 in z
8.209 * [backup-simplify]: Simplify 0 into 0
8.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.210 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.210 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.211 * [backup-simplify]: Simplify (+ 0 0) into 0
8.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.211 * [taylor]: Taking taylor expansion of 0 in z
8.211 * [backup-simplify]: Simplify 0 into 0
8.211 * [taylor]: Taking taylor expansion of 0 in z
8.211 * [backup-simplify]: Simplify 0 into 0
8.211 * [taylor]: Taking taylor expansion of 0 in z
8.211 * [backup-simplify]: Simplify 0 into 0
8.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.213 * [backup-simplify]: Simplify 0 into 0
8.213 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
8.213 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
8.213 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
8.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.213 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.213 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.214 * [taylor]: Taking taylor expansion of y in z
8.214 * [backup-simplify]: Simplify y into y
8.214 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.214 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.214 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.214 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.214 * [taylor]: Taking taylor expansion of x in z
8.214 * [backup-simplify]: Simplify x into x
8.214 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.214 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.214 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.214 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.214 * [taylor]: Taking taylor expansion of z in z
8.214 * [backup-simplify]: Simplify 0 into 0
8.214 * [backup-simplify]: Simplify 1 into 1
8.214 * [backup-simplify]: Simplify (* 1 1) into 1
8.214 * [backup-simplify]: Simplify (/ 1 1) into 1
8.215 * [backup-simplify]: Simplify (+ 0 1) into 1
8.215 * [backup-simplify]: Simplify (+ 0 1) into 1
8.215 * [backup-simplify]: Simplify (sqrt 1) into 1
8.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.216 * [backup-simplify]: Simplify (+ 0 0) into 0
8.216 * [backup-simplify]: Simplify (+ 0 0) into 0
8.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.217 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.217 * [taylor]: Taking taylor expansion of y in y
8.217 * [backup-simplify]: Simplify 0 into 0
8.217 * [backup-simplify]: Simplify 1 into 1
8.217 * [backup-simplify]: Simplify (* 1 1) into 1
8.217 * [backup-simplify]: Simplify (/ 1 1) into 1
8.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.217 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.217 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.217 * [taylor]: Taking taylor expansion of x in y
8.218 * [backup-simplify]: Simplify x into x
8.218 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.218 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.218 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.218 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.218 * [taylor]: Taking taylor expansion of z in y
8.218 * [backup-simplify]: Simplify z into z
8.218 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.218 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.218 * [backup-simplify]: Simplify (+ 1 0) into 1
8.218 * [backup-simplify]: Simplify (sqrt 1) into 1
8.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.219 * [backup-simplify]: Simplify (+ 0 0) into 0
8.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.220 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.220 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.220 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.220 * [taylor]: Taking taylor expansion of y in x
8.220 * [backup-simplify]: Simplify y into y
8.220 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.220 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.220 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.220 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.220 * [taylor]: Taking taylor expansion of x in x
8.220 * [backup-simplify]: Simplify 0 into 0
8.220 * [backup-simplify]: Simplify 1 into 1
8.220 * [backup-simplify]: Simplify (* 1 1) into 1
8.221 * [backup-simplify]: Simplify (/ 1 1) into 1
8.221 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.221 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.221 * [taylor]: Taking taylor expansion of z in x
8.221 * [backup-simplify]: Simplify z into z
8.221 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.221 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.221 * [backup-simplify]: Simplify (+ 1 0) into 1
8.222 * [backup-simplify]: Simplify (+ 0 1) into 1
8.222 * [backup-simplify]: Simplify (sqrt 1) into 1
8.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.224 * [backup-simplify]: Simplify (+ 0 0) into 0
8.224 * [backup-simplify]: Simplify (+ 0 0) into 0
8.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.225 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.225 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.225 * [taylor]: Taking taylor expansion of y in x
8.225 * [backup-simplify]: Simplify y into y
8.225 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.225 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.225 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.225 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.225 * [taylor]: Taking taylor expansion of x in x
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 1 into 1
8.226 * [backup-simplify]: Simplify (* 1 1) into 1
8.227 * [backup-simplify]: Simplify (/ 1 1) into 1
8.227 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.227 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.227 * [taylor]: Taking taylor expansion of z in x
8.227 * [backup-simplify]: Simplify z into z
8.227 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.227 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.227 * [backup-simplify]: Simplify (+ 1 0) into 1
8.228 * [backup-simplify]: Simplify (+ 0 1) into 1
8.228 * [backup-simplify]: Simplify (sqrt 1) into 1
8.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.230 * [backup-simplify]: Simplify (+ 0 0) into 0
8.230 * [backup-simplify]: Simplify (+ 0 0) into 0
8.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.231 * [taylor]: Taking taylor expansion of 1 in y
8.231 * [backup-simplify]: Simplify 1 into 1
8.231 * [taylor]: Taking taylor expansion of 0 in y
8.231 * [backup-simplify]: Simplify 0 into 0
8.231 * [taylor]: Taking taylor expansion of 1 in z
8.231 * [backup-simplify]: Simplify 1 into 1
8.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.233 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.233 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.235 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
8.235 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
8.235 * [taylor]: Taking taylor expansion of 1/2 in y
8.235 * [backup-simplify]: Simplify 1/2 into 1/2
8.235 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
8.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.235 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.235 * [taylor]: Taking taylor expansion of y in y
8.235 * [backup-simplify]: Simplify 0 into 0
8.235 * [backup-simplify]: Simplify 1 into 1
8.235 * [backup-simplify]: Simplify (* 1 1) into 1
8.236 * [backup-simplify]: Simplify (/ 1 1) into 1
8.236 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.236 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.236 * [taylor]: Taking taylor expansion of z in y
8.236 * [backup-simplify]: Simplify z into z
8.236 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.236 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.238 * [backup-simplify]: Simplify (+ 0 0) into 0
8.238 * [backup-simplify]: Simplify (+ 1 0) into 1
8.239 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.239 * [taylor]: Taking taylor expansion of 0 in z
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [taylor]: Taking taylor expansion of 0 in z
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [taylor]: Taking taylor expansion of 0 in z
8.239 * [backup-simplify]: Simplify 0 into 0
8.239 * [backup-simplify]: Simplify 1 into 1
8.239 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.248 * [backup-simplify]: Simplify (+ 0 0) into 0
8.248 * [backup-simplify]: Simplify (+ 0 0) into 0
8.249 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.249 * [taylor]: Taking taylor expansion of 0 in y
8.249 * [backup-simplify]: Simplify 0 into 0
8.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.251 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.252 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
8.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
8.252 * [taylor]: Taking taylor expansion of 1/2 in z
8.252 * [backup-simplify]: Simplify 1/2 into 1/2
8.252 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.252 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.252 * [taylor]: Taking taylor expansion of z in z
8.252 * [backup-simplify]: Simplify 0 into 0
8.252 * [backup-simplify]: Simplify 1 into 1
8.252 * [backup-simplify]: Simplify (* 1 1) into 1
8.253 * [backup-simplify]: Simplify (/ 1 1) into 1
8.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [taylor]: Taking taylor expansion of 0 in z
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [taylor]: Taking taylor expansion of 0 in z
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 0 into 0
8.255 * [backup-simplify]: Simplify 0 into 0
8.256 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.259 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.259 * [backup-simplify]: Simplify (+ 0 0) into 0
8.260 * [backup-simplify]: Simplify (+ 0 0) into 0
8.261 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.261 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
8.261 * [taylor]: Taking taylor expansion of -1/2 in y
8.261 * [backup-simplify]: Simplify -1/2 into -1/2
8.261 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
8.262 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
8.262 * [taylor]: Taking taylor expansion of 1/2 in y
8.262 * [backup-simplify]: Simplify 1/2 into 1/2
8.262 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
8.262 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.262 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.262 * [taylor]: Taking taylor expansion of z in y
8.262 * [backup-simplify]: Simplify z into z
8.262 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.262 * [taylor]: Taking taylor expansion of y in y
8.262 * [backup-simplify]: Simplify 0 into 0
8.262 * [backup-simplify]: Simplify 1 into 1
8.262 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.262 * [backup-simplify]: Simplify (* 1 1) into 1
8.262 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.262 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.262 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
8.262 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.263 * [taylor]: Taking taylor expansion of 1/4 in y
8.263 * [backup-simplify]: Simplify 1/4 into 1/4
8.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.263 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.263 * [taylor]: Taking taylor expansion of y in y
8.263 * [backup-simplify]: Simplify 0 into 0
8.263 * [backup-simplify]: Simplify 1 into 1
8.263 * [backup-simplify]: Simplify (* 1 1) into 1
8.263 * [backup-simplify]: Simplify (* 1 1) into 1
8.264 * [backup-simplify]: Simplify (/ 1 1) into 1
8.264 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
8.264 * [taylor]: Taking taylor expansion of 1/4 in y
8.264 * [backup-simplify]: Simplify 1/4 into 1/4
8.264 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
8.264 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.264 * [taylor]: Taking taylor expansion of z in y
8.264 * [backup-simplify]: Simplify z into z
8.264 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.264 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.264 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
8.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.265 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.266 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.266 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.266 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
8.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.274 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.275 * [backup-simplify]: Simplify (+ 0 0) into 0
8.275 * [backup-simplify]: Simplify (+ 0 0) into 0
8.275 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
8.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.276 * [backup-simplify]: Simplify (+ 0 0) into 0
8.276 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
8.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.277 * [backup-simplify]: Simplify (+ 0 0) into 0
8.277 * [backup-simplify]: Simplify (+ 0 0) into 0
8.277 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.278 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
8.278 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.279 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.279 * [taylor]: Taking taylor expansion of 0 in z
8.279 * [backup-simplify]: Simplify 0 into 0
8.279 * [taylor]: Taking taylor expansion of 0 in z
8.279 * [backup-simplify]: Simplify 0 into 0
8.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.280 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.281 * [backup-simplify]: Simplify (+ 0 0) into 0
8.282 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.282 * [taylor]: Taking taylor expansion of 0 in z
8.282 * [backup-simplify]: Simplify 0 into 0
8.282 * [taylor]: Taking taylor expansion of 0 in z
8.282 * [backup-simplify]: Simplify 0 into 0
8.282 * [taylor]: Taking taylor expansion of 0 in z
8.282 * [backup-simplify]: Simplify 0 into 0
8.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.283 * [backup-simplify]: Simplify 0 into 0
8.284 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
8.284 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 1 2 1)
8.284 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
8.284 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
8.284 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
8.284 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
8.284 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.284 * [taylor]: Taking taylor expansion of y in z
8.284 * [backup-simplify]: Simplify y into y
8.284 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.284 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.284 * [taylor]: Taking taylor expansion of x in z
8.284 * [backup-simplify]: Simplify x into x
8.284 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.284 * [taylor]: Taking taylor expansion of z in z
8.284 * [backup-simplify]: Simplify 0 into 0
8.284 * [backup-simplify]: Simplify 1 into 1
8.284 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.284 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.284 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.284 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
8.284 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
8.284 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.284 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.285 * [backup-simplify]: Simplify (+ 0 0) into 0
8.285 * [backup-simplify]: Simplify (+ 0 0) into 0
8.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
8.285 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
8.285 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
8.285 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.285 * [taylor]: Taking taylor expansion of y in y
8.285 * [backup-simplify]: Simplify 0 into 0
8.285 * [backup-simplify]: Simplify 1 into 1
8.285 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
8.285 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.285 * [taylor]: Taking taylor expansion of x in y
8.285 * [backup-simplify]: Simplify x into x
8.285 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.285 * [taylor]: Taking taylor expansion of z in y
8.285 * [backup-simplify]: Simplify z into z
8.285 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.285 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.285 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.285 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
8.286 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
8.286 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.286 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.286 * [backup-simplify]: Simplify (+ 0 0) into 0
8.286 * [backup-simplify]: Simplify (+ 0 0) into 0
8.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
8.286 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.286 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.286 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.286 * [taylor]: Taking taylor expansion of y in x
8.287 * [backup-simplify]: Simplify y into y
8.287 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.287 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.287 * [taylor]: Taking taylor expansion of x in x
8.287 * [backup-simplify]: Simplify 0 into 0
8.287 * [backup-simplify]: Simplify 1 into 1
8.287 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.287 * [taylor]: Taking taylor expansion of z in x
8.287 * [backup-simplify]: Simplify z into z
8.287 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.287 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.287 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.287 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.287 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.287 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.287 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.288 * [backup-simplify]: Simplify (+ 0 0) into 0
8.288 * [backup-simplify]: Simplify (+ 0 0) into 0
8.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.288 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.288 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.288 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.288 * [taylor]: Taking taylor expansion of y in x
8.288 * [backup-simplify]: Simplify y into y
8.288 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.288 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.288 * [taylor]: Taking taylor expansion of x in x
8.288 * [backup-simplify]: Simplify 0 into 0
8.288 * [backup-simplify]: Simplify 1 into 1
8.288 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.288 * [taylor]: Taking taylor expansion of z in x
8.288 * [backup-simplify]: Simplify z into z
8.288 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.288 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.288 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.288 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.288 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.289 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.289 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.289 * [backup-simplify]: Simplify (+ 0 0) into 0
8.289 * [backup-simplify]: Simplify (+ 0 0) into 0
8.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.289 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
8.289 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.289 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.289 * [taylor]: Taking taylor expansion of y in y
8.289 * [backup-simplify]: Simplify 0 into 0
8.289 * [backup-simplify]: Simplify 1 into 1
8.289 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.289 * [taylor]: Taking taylor expansion of z in y
8.289 * [backup-simplify]: Simplify z into z
8.289 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.289 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.290 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
8.290 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.290 * [backup-simplify]: Simplify (+ 0 0) into 0
8.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
8.290 * [taylor]: Taking taylor expansion of z in z
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 1 into 1
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [taylor]: Taking taylor expansion of 0 in y
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [taylor]: Taking taylor expansion of 0 in z
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [taylor]: Taking taylor expansion of 0 in z
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 0 into 0
8.290 * [backup-simplify]: Simplify 1 into 1
8.290 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.291 * [backup-simplify]: Simplify (* 1 1) into 1
8.291 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.291 * [backup-simplify]: Simplify (+ 1 0) into 1
8.292 * [backup-simplify]: Simplify (+ 0 1) into 1
8.292 * [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)))))
8.292 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
8.292 * [taylor]: Taking taylor expansion of 1/2 in y
8.292 * [backup-simplify]: Simplify 1/2 into 1/2
8.292 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
8.292 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
8.292 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.292 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.292 * [taylor]: Taking taylor expansion of y in y
8.292 * [backup-simplify]: Simplify 0 into 0
8.292 * [backup-simplify]: Simplify 1 into 1
8.292 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.292 * [taylor]: Taking taylor expansion of z in y
8.292 * [backup-simplify]: Simplify z into z
8.292 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.292 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.293 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.293 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
8.293 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.293 * [backup-simplify]: Simplify (+ 0 0) into 0
8.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
8.293 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
8.293 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
8.293 * [taylor]: Taking taylor expansion of 1/2 in z
8.293 * [backup-simplify]: Simplify 1/2 into 1/2
8.293 * [taylor]: Taking taylor expansion of z in z
8.293 * [backup-simplify]: Simplify 0 into 0
8.293 * [backup-simplify]: Simplify 1 into 1
8.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [taylor]: Taking taylor expansion of 0 in z
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify 0 into 0
8.294 * [backup-simplify]: Simplify (* 1 1) into 1
8.295 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.295 * [backup-simplify]: Simplify (+ 1 0) into 1
8.295 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
8.295 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
8.295 * [taylor]: Taking taylor expansion of 1/2 in z
8.295 * [backup-simplify]: Simplify 1/2 into 1/2
8.295 * [taylor]: Taking taylor expansion of z in z
8.295 * [backup-simplify]: Simplify 0 into 0
8.295 * [backup-simplify]: Simplify 1 into 1
8.296 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.296 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.296 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify 0 into 0
8.296 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
8.297 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
8.297 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
8.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.297 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.297 * [taylor]: Taking taylor expansion of y in z
8.297 * [backup-simplify]: Simplify y into y
8.297 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.297 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.297 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.297 * [taylor]: Taking taylor expansion of x in z
8.297 * [backup-simplify]: Simplify x into x
8.297 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.297 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.297 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.297 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.297 * [taylor]: Taking taylor expansion of z in z
8.297 * [backup-simplify]: Simplify 0 into 0
8.297 * [backup-simplify]: Simplify 1 into 1
8.298 * [backup-simplify]: Simplify (* 1 1) into 1
8.298 * [backup-simplify]: Simplify (/ 1 1) into 1
8.298 * [backup-simplify]: Simplify (+ 0 1) into 1
8.298 * [backup-simplify]: Simplify (+ 0 1) into 1
8.299 * [backup-simplify]: Simplify (sqrt 1) into 1
8.299 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.300 * [backup-simplify]: Simplify (+ 0 0) into 0
8.300 * [backup-simplify]: Simplify (+ 0 0) into 0
8.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.300 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.300 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.300 * [taylor]: Taking taylor expansion of y in y
8.300 * [backup-simplify]: Simplify 0 into 0
8.300 * [backup-simplify]: Simplify 1 into 1
8.301 * [backup-simplify]: Simplify (* 1 1) into 1
8.301 * [backup-simplify]: Simplify (/ 1 1) into 1
8.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.301 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.301 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.301 * [taylor]: Taking taylor expansion of x in y
8.301 * [backup-simplify]: Simplify x into x
8.301 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.301 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.301 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.301 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.301 * [taylor]: Taking taylor expansion of z in y
8.301 * [backup-simplify]: Simplify z into z
8.301 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.301 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.302 * [backup-simplify]: Simplify (+ 1 0) into 1
8.302 * [backup-simplify]: Simplify (sqrt 1) into 1
8.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.303 * [backup-simplify]: Simplify (+ 0 0) into 0
8.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.303 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.303 * [taylor]: Taking taylor expansion of y in x
8.303 * [backup-simplify]: Simplify y into y
8.304 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.304 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.304 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.304 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.304 * [taylor]: Taking taylor expansion of x in x
8.304 * [backup-simplify]: Simplify 0 into 0
8.304 * [backup-simplify]: Simplify 1 into 1
8.304 * [backup-simplify]: Simplify (* 1 1) into 1
8.304 * [backup-simplify]: Simplify (/ 1 1) into 1
8.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.304 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.304 * [taylor]: Taking taylor expansion of z in x
8.304 * [backup-simplify]: Simplify z into z
8.304 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.304 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.305 * [backup-simplify]: Simplify (+ 1 0) into 1
8.305 * [backup-simplify]: Simplify (+ 0 1) into 1
8.305 * [backup-simplify]: Simplify (sqrt 1) into 1
8.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.307 * [backup-simplify]: Simplify (+ 0 0) into 0
8.308 * [backup-simplify]: Simplify (+ 0 0) into 0
8.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.308 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.309 * [taylor]: Taking taylor expansion of y in x
8.309 * [backup-simplify]: Simplify y into y
8.309 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.309 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.309 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.309 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.309 * [taylor]: Taking taylor expansion of x in x
8.309 * [backup-simplify]: Simplify 0 into 0
8.309 * [backup-simplify]: Simplify 1 into 1
8.309 * [backup-simplify]: Simplify (* 1 1) into 1
8.310 * [backup-simplify]: Simplify (/ 1 1) into 1
8.310 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.310 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.310 * [taylor]: Taking taylor expansion of z in x
8.310 * [backup-simplify]: Simplify z into z
8.310 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.310 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.310 * [backup-simplify]: Simplify (+ 1 0) into 1
8.311 * [backup-simplify]: Simplify (+ 0 1) into 1
8.311 * [backup-simplify]: Simplify (sqrt 1) into 1
8.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.313 * [backup-simplify]: Simplify (+ 0 0) into 0
8.314 * [backup-simplify]: Simplify (+ 0 0) into 0
8.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.314 * [taylor]: Taking taylor expansion of 1 in y
8.315 * [backup-simplify]: Simplify 1 into 1
8.315 * [taylor]: Taking taylor expansion of 0 in y
8.315 * [backup-simplify]: Simplify 0 into 0
8.315 * [taylor]: Taking taylor expansion of 1 in z
8.315 * [backup-simplify]: Simplify 1 into 1
8.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.317 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.317 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.318 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
8.318 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
8.319 * [taylor]: Taking taylor expansion of 1/2 in y
8.319 * [backup-simplify]: Simplify 1/2 into 1/2
8.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
8.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.319 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.319 * [taylor]: Taking taylor expansion of y in y
8.319 * [backup-simplify]: Simplify 0 into 0
8.319 * [backup-simplify]: Simplify 1 into 1
8.319 * [backup-simplify]: Simplify (* 1 1) into 1
8.320 * [backup-simplify]: Simplify (/ 1 1) into 1
8.320 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.320 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.320 * [taylor]: Taking taylor expansion of z in y
8.320 * [backup-simplify]: Simplify z into z
8.320 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.320 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.322 * [backup-simplify]: Simplify (+ 0 0) into 0
8.322 * [backup-simplify]: Simplify (+ 1 0) into 1
8.323 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.323 * [taylor]: Taking taylor expansion of 0 in z
8.323 * [backup-simplify]: Simplify 0 into 0
8.323 * [taylor]: Taking taylor expansion of 0 in z
8.323 * [backup-simplify]: Simplify 0 into 0
8.323 * [taylor]: Taking taylor expansion of 0 in z
8.323 * [backup-simplify]: Simplify 0 into 0
8.323 * [backup-simplify]: Simplify 1 into 1
8.323 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.326 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.326 * [backup-simplify]: Simplify (+ 0 0) into 0
8.327 * [backup-simplify]: Simplify (+ 0 0) into 0
8.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.327 * [taylor]: Taking taylor expansion of 0 in y
8.328 * [backup-simplify]: Simplify 0 into 0
8.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.330 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.330 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
8.330 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
8.330 * [taylor]: Taking taylor expansion of 1/2 in z
8.331 * [backup-simplify]: Simplify 1/2 into 1/2
8.331 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.331 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.331 * [taylor]: Taking taylor expansion of z in z
8.331 * [backup-simplify]: Simplify 0 into 0
8.331 * [backup-simplify]: Simplify 1 into 1
8.331 * [backup-simplify]: Simplify (* 1 1) into 1
8.331 * [backup-simplify]: Simplify (/ 1 1) into 1
8.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.334 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [taylor]: Taking taylor expansion of 0 in z
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [taylor]: Taking taylor expansion of 0 in z
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [backup-simplify]: Simplify 0 into 0
8.334 * [backup-simplify]: Simplify 0 into 0
8.335 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.336 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.337 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.338 * [backup-simplify]: Simplify (+ 0 0) into 0
8.338 * [backup-simplify]: Simplify (+ 0 0) into 0
8.339 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.339 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
8.339 * [taylor]: Taking taylor expansion of -1/2 in y
8.339 * [backup-simplify]: Simplify -1/2 into -1/2
8.339 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
8.339 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
8.339 * [taylor]: Taking taylor expansion of 1/2 in y
8.339 * [backup-simplify]: Simplify 1/2 into 1/2
8.339 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
8.339 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.339 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.339 * [taylor]: Taking taylor expansion of z in y
8.339 * [backup-simplify]: Simplify z into z
8.339 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.339 * [taylor]: Taking taylor expansion of y in y
8.339 * [backup-simplify]: Simplify 0 into 0
8.339 * [backup-simplify]: Simplify 1 into 1
8.339 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.339 * [backup-simplify]: Simplify (* 1 1) into 1
8.340 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.340 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.340 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
8.340 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.340 * [taylor]: Taking taylor expansion of 1/4 in y
8.340 * [backup-simplify]: Simplify 1/4 into 1/4
8.340 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.340 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.340 * [taylor]: Taking taylor expansion of y in y
8.340 * [backup-simplify]: Simplify 0 into 0
8.340 * [backup-simplify]: Simplify 1 into 1
8.340 * [backup-simplify]: Simplify (* 1 1) into 1
8.340 * [backup-simplify]: Simplify (* 1 1) into 1
8.340 * [backup-simplify]: Simplify (/ 1 1) into 1
8.340 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
8.340 * [taylor]: Taking taylor expansion of 1/4 in y
8.341 * [backup-simplify]: Simplify 1/4 into 1/4
8.341 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
8.341 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.341 * [taylor]: Taking taylor expansion of z in y
8.341 * [backup-simplify]: Simplify z into z
8.341 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.341 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.341 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
8.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.341 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.342 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
8.343 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.347 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.348 * [backup-simplify]: Simplify (+ 0 0) into 0
8.348 * [backup-simplify]: Simplify (+ 0 0) into 0
8.348 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
8.349 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.349 * [backup-simplify]: Simplify (+ 0 0) into 0
8.349 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
8.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.350 * [backup-simplify]: Simplify (+ 0 0) into 0
8.350 * [backup-simplify]: Simplify (+ 0 0) into 0
8.351 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.351 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
8.351 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.352 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.352 * [taylor]: Taking taylor expansion of 0 in z
8.352 * [backup-simplify]: Simplify 0 into 0
8.352 * [taylor]: Taking taylor expansion of 0 in z
8.352 * [backup-simplify]: Simplify 0 into 0
8.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.353 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.354 * [backup-simplify]: Simplify (+ 0 0) into 0
8.354 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.354 * [taylor]: Taking taylor expansion of 0 in z
8.355 * [backup-simplify]: Simplify 0 into 0
8.355 * [taylor]: Taking taylor expansion of 0 in z
8.355 * [backup-simplify]: Simplify 0 into 0
8.355 * [taylor]: Taking taylor expansion of 0 in z
8.355 * [backup-simplify]: Simplify 0 into 0
8.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.356 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.356 * [backup-simplify]: Simplify 0 into 0
8.356 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
8.357 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
8.357 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
8.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.357 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.357 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.357 * [taylor]: Taking taylor expansion of y in z
8.357 * [backup-simplify]: Simplify y into y
8.357 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.357 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.357 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.357 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.357 * [taylor]: Taking taylor expansion of x in z
8.357 * [backup-simplify]: Simplify x into x
8.357 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.357 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.357 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.357 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.357 * [taylor]: Taking taylor expansion of z in z
8.357 * [backup-simplify]: Simplify 0 into 0
8.357 * [backup-simplify]: Simplify 1 into 1
8.357 * [backup-simplify]: Simplify (* 1 1) into 1
8.358 * [backup-simplify]: Simplify (/ 1 1) into 1
8.358 * [backup-simplify]: Simplify (+ 0 1) into 1
8.358 * [backup-simplify]: Simplify (+ 0 1) into 1
8.358 * [backup-simplify]: Simplify (sqrt 1) into 1
8.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.359 * [backup-simplify]: Simplify (+ 0 0) into 0
8.363 * [backup-simplify]: Simplify (+ 0 0) into 0
8.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.364 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.364 * [taylor]: Taking taylor expansion of y in y
8.364 * [backup-simplify]: Simplify 0 into 0
8.364 * [backup-simplify]: Simplify 1 into 1
8.364 * [backup-simplify]: Simplify (* 1 1) into 1
8.365 * [backup-simplify]: Simplify (/ 1 1) into 1
8.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.365 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.365 * [taylor]: Taking taylor expansion of x in y
8.365 * [backup-simplify]: Simplify x into x
8.365 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.365 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.365 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.365 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.365 * [taylor]: Taking taylor expansion of z in y
8.365 * [backup-simplify]: Simplify z into z
8.365 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.365 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.366 * [backup-simplify]: Simplify (+ 1 0) into 1
8.366 * [backup-simplify]: Simplify (sqrt 1) into 1
8.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.368 * [backup-simplify]: Simplify (+ 0 0) into 0
8.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.369 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.369 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.369 * [taylor]: Taking taylor expansion of y in x
8.369 * [backup-simplify]: Simplify y into y
8.369 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.369 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.369 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.369 * [taylor]: Taking taylor expansion of x in x
8.369 * [backup-simplify]: Simplify 0 into 0
8.369 * [backup-simplify]: Simplify 1 into 1
8.370 * [backup-simplify]: Simplify (* 1 1) into 1
8.370 * [backup-simplify]: Simplify (/ 1 1) into 1
8.370 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.370 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.370 * [taylor]: Taking taylor expansion of z in x
8.370 * [backup-simplify]: Simplify z into z
8.370 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.370 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.371 * [backup-simplify]: Simplify (+ 1 0) into 1
8.371 * [backup-simplify]: Simplify (+ 0 1) into 1
8.372 * [backup-simplify]: Simplify (sqrt 1) into 1
8.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.373 * [backup-simplify]: Simplify (+ 0 0) into 0
8.374 * [backup-simplify]: Simplify (+ 0 0) into 0
8.374 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.374 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.375 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.375 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.375 * [taylor]: Taking taylor expansion of y in x
8.375 * [backup-simplify]: Simplify y into y
8.375 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.375 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.375 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.375 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.375 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.375 * [taylor]: Taking taylor expansion of x in x
8.375 * [backup-simplify]: Simplify 0 into 0
8.375 * [backup-simplify]: Simplify 1 into 1
8.375 * [backup-simplify]: Simplify (* 1 1) into 1
8.376 * [backup-simplify]: Simplify (/ 1 1) into 1
8.376 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.376 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.376 * [taylor]: Taking taylor expansion of z in x
8.376 * [backup-simplify]: Simplify z into z
8.376 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.376 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.376 * [backup-simplify]: Simplify (+ 1 0) into 1
8.377 * [backup-simplify]: Simplify (+ 0 1) into 1
8.377 * [backup-simplify]: Simplify (sqrt 1) into 1
8.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.379 * [backup-simplify]: Simplify (+ 0 0) into 0
8.379 * [backup-simplify]: Simplify (+ 0 0) into 0
8.380 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.380 * [taylor]: Taking taylor expansion of 1 in y
8.380 * [backup-simplify]: Simplify 1 into 1
8.380 * [taylor]: Taking taylor expansion of 0 in y
8.380 * [backup-simplify]: Simplify 0 into 0
8.380 * [taylor]: Taking taylor expansion of 1 in z
8.380 * [backup-simplify]: Simplify 1 into 1
8.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.382 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.383 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.384 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
8.384 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
8.384 * [taylor]: Taking taylor expansion of 1/2 in y
8.384 * [backup-simplify]: Simplify 1/2 into 1/2
8.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
8.384 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.384 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.384 * [taylor]: Taking taylor expansion of y in y
8.384 * [backup-simplify]: Simplify 0 into 0
8.384 * [backup-simplify]: Simplify 1 into 1
8.384 * [backup-simplify]: Simplify (* 1 1) into 1
8.385 * [backup-simplify]: Simplify (/ 1 1) into 1
8.385 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.385 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.385 * [taylor]: Taking taylor expansion of z in y
8.385 * [backup-simplify]: Simplify z into z
8.385 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.385 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.387 * [backup-simplify]: Simplify (+ 0 0) into 0
8.387 * [backup-simplify]: Simplify (+ 1 0) into 1
8.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.388 * [taylor]: Taking taylor expansion of 0 in z
8.388 * [backup-simplify]: Simplify 0 into 0
8.388 * [taylor]: Taking taylor expansion of 0 in z
8.388 * [backup-simplify]: Simplify 0 into 0
8.388 * [taylor]: Taking taylor expansion of 0 in z
8.388 * [backup-simplify]: Simplify 0 into 0
8.388 * [backup-simplify]: Simplify 1 into 1
8.388 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.391 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.391 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.392 * [backup-simplify]: Simplify (+ 0 0) into 0
8.392 * [backup-simplify]: Simplify (+ 0 0) into 0
8.393 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.393 * [taylor]: Taking taylor expansion of 0 in y
8.393 * [backup-simplify]: Simplify 0 into 0
8.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.395 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.396 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
8.396 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
8.396 * [taylor]: Taking taylor expansion of 1/2 in z
8.396 * [backup-simplify]: Simplify 1/2 into 1/2
8.396 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.396 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.396 * [taylor]: Taking taylor expansion of z in z
8.396 * [backup-simplify]: Simplify 0 into 0
8.396 * [backup-simplify]: Simplify 1 into 1
8.396 * [backup-simplify]: Simplify (* 1 1) into 1
8.397 * [backup-simplify]: Simplify (/ 1 1) into 1
8.397 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.398 * [backup-simplify]: Simplify 0 into 0
8.398 * [taylor]: Taking taylor expansion of 0 in z
8.398 * [backup-simplify]: Simplify 0 into 0
8.398 * [taylor]: Taking taylor expansion of 0 in z
8.398 * [backup-simplify]: Simplify 0 into 0
8.398 * [backup-simplify]: Simplify 0 into 0
8.398 * [backup-simplify]: Simplify 0 into 0
8.398 * [backup-simplify]: Simplify 0 into 0
8.398 * [backup-simplify]: Simplify 0 into 0
8.399 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.401 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.401 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.401 * [backup-simplify]: Simplify (+ 0 0) into 0
8.401 * [backup-simplify]: Simplify (+ 0 0) into 0
8.402 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.402 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
8.402 * [taylor]: Taking taylor expansion of -1/2 in y
8.402 * [backup-simplify]: Simplify -1/2 into -1/2
8.402 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
8.402 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
8.402 * [taylor]: Taking taylor expansion of 1/2 in y
8.402 * [backup-simplify]: Simplify 1/2 into 1/2
8.402 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
8.402 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.402 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.402 * [taylor]: Taking taylor expansion of z in y
8.402 * [backup-simplify]: Simplify z into z
8.402 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.402 * [taylor]: Taking taylor expansion of y in y
8.402 * [backup-simplify]: Simplify 0 into 0
8.402 * [backup-simplify]: Simplify 1 into 1
8.402 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.403 * [backup-simplify]: Simplify (* 1 1) into 1
8.403 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.403 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.403 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
8.403 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.403 * [taylor]: Taking taylor expansion of 1/4 in y
8.403 * [backup-simplify]: Simplify 1/4 into 1/4
8.403 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.403 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.403 * [taylor]: Taking taylor expansion of y in y
8.403 * [backup-simplify]: Simplify 0 into 0
8.403 * [backup-simplify]: Simplify 1 into 1
8.403 * [backup-simplify]: Simplify (* 1 1) into 1
8.403 * [backup-simplify]: Simplify (* 1 1) into 1
8.404 * [backup-simplify]: Simplify (/ 1 1) into 1
8.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
8.404 * [taylor]: Taking taylor expansion of 1/4 in y
8.404 * [backup-simplify]: Simplify 1/4 into 1/4
8.404 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
8.404 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.404 * [taylor]: Taking taylor expansion of z in y
8.404 * [backup-simplify]: Simplify z into z
8.404 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.404 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.404 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
8.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.404 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.405 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
8.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.411 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.411 * [backup-simplify]: Simplify (+ 0 0) into 0
8.411 * [backup-simplify]: Simplify (+ 0 0) into 0
8.411 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
8.412 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.412 * [backup-simplify]: Simplify (+ 0 0) into 0
8.412 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
8.413 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.413 * [backup-simplify]: Simplify (+ 0 0) into 0
8.413 * [backup-simplify]: Simplify (+ 0 0) into 0
8.413 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.414 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
8.414 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.415 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.415 * [taylor]: Taking taylor expansion of 0 in z
8.415 * [backup-simplify]: Simplify 0 into 0
8.415 * [taylor]: Taking taylor expansion of 0 in z
8.415 * [backup-simplify]: Simplify 0 into 0
8.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.416 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.416 * [backup-simplify]: Simplify (+ 0 0) into 0
8.417 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.417 * [taylor]: Taking taylor expansion of 0 in z
8.417 * [backup-simplify]: Simplify 0 into 0
8.417 * [taylor]: Taking taylor expansion of 0 in z
8.417 * [backup-simplify]: Simplify 0 into 0
8.417 * [taylor]: Taking taylor expansion of 0 in z
8.417 * [backup-simplify]: Simplify 0 into 0
8.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.419 * [backup-simplify]: Simplify 0 into 0
8.419 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
8.419 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1 1 1)
8.419 * [backup-simplify]: Simplify (sqrt (+ (+ (* x x) (* y y)) (* z z))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
8.419 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
8.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
8.420 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
8.420 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.420 * [taylor]: Taking taylor expansion of y in z
8.420 * [backup-simplify]: Simplify y into y
8.420 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.420 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.420 * [taylor]: Taking taylor expansion of x in z
8.420 * [backup-simplify]: Simplify x into x
8.420 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.420 * [taylor]: Taking taylor expansion of z in z
8.420 * [backup-simplify]: Simplify 0 into 0
8.420 * [backup-simplify]: Simplify 1 into 1
8.420 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.420 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.420 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.420 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
8.420 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
8.420 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.420 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.420 * [backup-simplify]: Simplify (+ 0 0) into 0
8.421 * [backup-simplify]: Simplify (+ 0 0) into 0
8.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
8.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
8.421 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
8.421 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.421 * [taylor]: Taking taylor expansion of y in y
8.421 * [backup-simplify]: Simplify 0 into 0
8.421 * [backup-simplify]: Simplify 1 into 1
8.421 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
8.421 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.421 * [taylor]: Taking taylor expansion of x in y
8.421 * [backup-simplify]: Simplify x into x
8.421 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.422 * [taylor]: Taking taylor expansion of z in y
8.422 * [backup-simplify]: Simplify z into z
8.422 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.422 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.422 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.422 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
8.422 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
8.422 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.422 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.423 * [backup-simplify]: Simplify (+ 0 0) into 0
8.423 * [backup-simplify]: Simplify (+ 0 0) into 0
8.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
8.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.423 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.423 * [taylor]: Taking taylor expansion of y in x
8.423 * [backup-simplify]: Simplify y into y
8.424 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.424 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.424 * [taylor]: Taking taylor expansion of x in x
8.424 * [backup-simplify]: Simplify 0 into 0
8.424 * [backup-simplify]: Simplify 1 into 1
8.424 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.424 * [taylor]: Taking taylor expansion of z in x
8.424 * [backup-simplify]: Simplify z into z
8.424 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.424 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.424 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.424 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.424 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.424 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.424 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.425 * [backup-simplify]: Simplify (+ 0 0) into 0
8.425 * [backup-simplify]: Simplify (+ 0 0) into 0
8.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.425 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.425 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.426 * [taylor]: Taking taylor expansion of y in x
8.426 * [backup-simplify]: Simplify y into y
8.426 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.426 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.426 * [taylor]: Taking taylor expansion of x in x
8.426 * [backup-simplify]: Simplify 0 into 0
8.426 * [backup-simplify]: Simplify 1 into 1
8.426 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.426 * [taylor]: Taking taylor expansion of z in x
8.426 * [backup-simplify]: Simplify z into z
8.426 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.426 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.426 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.426 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.426 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.426 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.426 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.427 * [backup-simplify]: Simplify (+ 0 0) into 0
8.427 * [backup-simplify]: Simplify (+ 0 0) into 0
8.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.428 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
8.428 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.428 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.428 * [taylor]: Taking taylor expansion of y in y
8.428 * [backup-simplify]: Simplify 0 into 0
8.428 * [backup-simplify]: Simplify 1 into 1
8.428 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.428 * [taylor]: Taking taylor expansion of z in y
8.428 * [backup-simplify]: Simplify z into z
8.428 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.428 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.428 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
8.428 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.428 * [backup-simplify]: Simplify (+ 0 0) into 0
8.429 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
8.429 * [taylor]: Taking taylor expansion of z in z
8.429 * [backup-simplify]: Simplify 0 into 0
8.429 * [backup-simplify]: Simplify 1 into 1
8.429 * [backup-simplify]: Simplify 0 into 0
8.429 * [taylor]: Taking taylor expansion of 0 in y
8.429 * [backup-simplify]: Simplify 0 into 0
8.429 * [taylor]: Taking taylor expansion of 0 in z
8.429 * [backup-simplify]: Simplify 0 into 0
8.429 * [backup-simplify]: Simplify 0 into 0
8.429 * [taylor]: Taking taylor expansion of 0 in z
8.429 * [backup-simplify]: Simplify 0 into 0
8.429 * [backup-simplify]: Simplify 0 into 0
8.429 * [backup-simplify]: Simplify 1 into 1
8.429 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.430 * [backup-simplify]: Simplify (* 1 1) into 1
8.430 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.431 * [backup-simplify]: Simplify (+ 1 0) into 1
8.431 * [backup-simplify]: Simplify (+ 0 1) into 1
8.432 * [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)))))
8.432 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
8.432 * [taylor]: Taking taylor expansion of 1/2 in y
8.432 * [backup-simplify]: Simplify 1/2 into 1/2
8.432 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
8.432 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
8.432 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.432 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.432 * [taylor]: Taking taylor expansion of y in y
8.433 * [backup-simplify]: Simplify 0 into 0
8.433 * [backup-simplify]: Simplify 1 into 1
8.433 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.433 * [taylor]: Taking taylor expansion of z in y
8.433 * [backup-simplify]: Simplify z into z
8.433 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.433 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.433 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.433 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
8.433 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.433 * [backup-simplify]: Simplify (+ 0 0) into 0
8.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
8.434 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
8.434 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
8.434 * [taylor]: Taking taylor expansion of 1/2 in z
8.434 * [backup-simplify]: Simplify 1/2 into 1/2
8.434 * [taylor]: Taking taylor expansion of z in z
8.434 * [backup-simplify]: Simplify 0 into 0
8.434 * [backup-simplify]: Simplify 1 into 1
8.435 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.435 * [backup-simplify]: Simplify 0 into 0
8.436 * [taylor]: Taking taylor expansion of 0 in z
8.436 * [backup-simplify]: Simplify 0 into 0
8.436 * [backup-simplify]: Simplify 0 into 0
8.436 * [backup-simplify]: Simplify (* 1 1) into 1
8.436 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.437 * [backup-simplify]: Simplify (+ 1 0) into 1
8.437 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
8.437 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
8.437 * [taylor]: Taking taylor expansion of 1/2 in z
8.437 * [backup-simplify]: Simplify 1/2 into 1/2
8.437 * [taylor]: Taking taylor expansion of z in z
8.438 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify 1 into 1
8.438 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
8.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
8.438 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify 0 into 0
8.438 * [backup-simplify]: Simplify 0 into 0
8.439 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
8.439 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
8.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
8.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.439 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.439 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.439 * [taylor]: Taking taylor expansion of y in z
8.439 * [backup-simplify]: Simplify y into y
8.439 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.439 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.439 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.439 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.439 * [taylor]: Taking taylor expansion of x in z
8.439 * [backup-simplify]: Simplify x into x
8.439 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.439 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.439 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.439 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.439 * [taylor]: Taking taylor expansion of z in z
8.439 * [backup-simplify]: Simplify 0 into 0
8.439 * [backup-simplify]: Simplify 1 into 1
8.440 * [backup-simplify]: Simplify (* 1 1) into 1
8.440 * [backup-simplify]: Simplify (/ 1 1) into 1
8.440 * [backup-simplify]: Simplify (+ 0 1) into 1
8.440 * [backup-simplify]: Simplify (+ 0 1) into 1
8.441 * [backup-simplify]: Simplify (sqrt 1) into 1
8.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.442 * [backup-simplify]: Simplify (+ 0 0) into 0
8.442 * [backup-simplify]: Simplify (+ 0 0) into 0
8.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.443 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.443 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.443 * [taylor]: Taking taylor expansion of y in y
8.443 * [backup-simplify]: Simplify 0 into 0
8.443 * [backup-simplify]: Simplify 1 into 1
8.443 * [backup-simplify]: Simplify (* 1 1) into 1
8.443 * [backup-simplify]: Simplify (/ 1 1) into 1
8.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.443 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.443 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.443 * [taylor]: Taking taylor expansion of x in y
8.443 * [backup-simplify]: Simplify x into x
8.443 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.443 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.443 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.443 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.443 * [taylor]: Taking taylor expansion of z in y
8.443 * [backup-simplify]: Simplify z into z
8.443 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.443 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.444 * [backup-simplify]: Simplify (+ 1 0) into 1
8.444 * [backup-simplify]: Simplify (sqrt 1) into 1
8.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.445 * [backup-simplify]: Simplify (+ 0 0) into 0
8.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.446 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.446 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.446 * [taylor]: Taking taylor expansion of y in x
8.446 * [backup-simplify]: Simplify y into y
8.446 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.446 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.446 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.446 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.446 * [taylor]: Taking taylor expansion of x in x
8.446 * [backup-simplify]: Simplify 0 into 0
8.446 * [backup-simplify]: Simplify 1 into 1
8.446 * [backup-simplify]: Simplify (* 1 1) into 1
8.446 * [backup-simplify]: Simplify (/ 1 1) into 1
8.446 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.446 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.446 * [taylor]: Taking taylor expansion of z in x
8.446 * [backup-simplify]: Simplify z into z
8.446 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.446 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.447 * [backup-simplify]: Simplify (+ 1 0) into 1
8.447 * [backup-simplify]: Simplify (+ 0 1) into 1
8.447 * [backup-simplify]: Simplify (sqrt 1) into 1
8.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.449 * [backup-simplify]: Simplify (+ 0 0) into 0
8.449 * [backup-simplify]: Simplify (+ 0 0) into 0
8.449 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.449 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.449 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.449 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.449 * [taylor]: Taking taylor expansion of y in x
8.449 * [backup-simplify]: Simplify y into y
8.449 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.449 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.449 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.449 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.450 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.450 * [taylor]: Taking taylor expansion of x in x
8.450 * [backup-simplify]: Simplify 0 into 0
8.450 * [backup-simplify]: Simplify 1 into 1
8.450 * [backup-simplify]: Simplify (* 1 1) into 1
8.450 * [backup-simplify]: Simplify (/ 1 1) into 1
8.450 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.450 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.450 * [taylor]: Taking taylor expansion of z in x
8.450 * [backup-simplify]: Simplify z into z
8.450 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.450 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.450 * [backup-simplify]: Simplify (+ 1 0) into 1
8.451 * [backup-simplify]: Simplify (+ 0 1) into 1
8.451 * [backup-simplify]: Simplify (sqrt 1) into 1
8.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.452 * [backup-simplify]: Simplify (+ 0 0) into 0
8.452 * [backup-simplify]: Simplify (+ 0 0) into 0
8.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.453 * [taylor]: Taking taylor expansion of 1 in y
8.453 * [backup-simplify]: Simplify 1 into 1
8.453 * [taylor]: Taking taylor expansion of 0 in y
8.453 * [backup-simplify]: Simplify 0 into 0
8.453 * [taylor]: Taking taylor expansion of 1 in z
8.453 * [backup-simplify]: Simplify 1 into 1
8.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.454 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.454 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.455 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
8.455 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
8.455 * [taylor]: Taking taylor expansion of 1/2 in y
8.455 * [backup-simplify]: Simplify 1/2 into 1/2
8.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
8.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.455 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.455 * [taylor]: Taking taylor expansion of y in y
8.455 * [backup-simplify]: Simplify 0 into 0
8.455 * [backup-simplify]: Simplify 1 into 1
8.455 * [backup-simplify]: Simplify (* 1 1) into 1
8.456 * [backup-simplify]: Simplify (/ 1 1) into 1
8.456 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.456 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.456 * [taylor]: Taking taylor expansion of z in y
8.456 * [backup-simplify]: Simplify z into z
8.456 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.456 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.457 * [backup-simplify]: Simplify (+ 0 0) into 0
8.457 * [backup-simplify]: Simplify (+ 1 0) into 1
8.458 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.458 * [taylor]: Taking taylor expansion of 0 in z
8.458 * [backup-simplify]: Simplify 0 into 0
8.458 * [taylor]: Taking taylor expansion of 0 in z
8.458 * [backup-simplify]: Simplify 0 into 0
8.458 * [taylor]: Taking taylor expansion of 0 in z
8.458 * [backup-simplify]: Simplify 0 into 0
8.458 * [backup-simplify]: Simplify 1 into 1
8.458 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.459 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.460 * [backup-simplify]: Simplify (+ 0 0) into 0
8.460 * [backup-simplify]: Simplify (+ 0 0) into 0
8.460 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.460 * [taylor]: Taking taylor expansion of 0 in y
8.460 * [backup-simplify]: Simplify 0 into 0
8.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.462 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.462 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
8.462 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
8.462 * [taylor]: Taking taylor expansion of 1/2 in z
8.462 * [backup-simplify]: Simplify 1/2 into 1/2
8.462 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.462 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.462 * [taylor]: Taking taylor expansion of z in z
8.462 * [backup-simplify]: Simplify 0 into 0
8.462 * [backup-simplify]: Simplify 1 into 1
8.463 * [backup-simplify]: Simplify (* 1 1) into 1
8.463 * [backup-simplify]: Simplify (/ 1 1) into 1
8.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.464 * [backup-simplify]: Simplify 0 into 0
8.464 * [taylor]: Taking taylor expansion of 0 in z
8.464 * [backup-simplify]: Simplify 0 into 0
8.464 * [taylor]: Taking taylor expansion of 0 in z
8.464 * [backup-simplify]: Simplify 0 into 0
8.464 * [backup-simplify]: Simplify 0 into 0
8.464 * [backup-simplify]: Simplify 0 into 0
8.464 * [backup-simplify]: Simplify 0 into 0
8.464 * [backup-simplify]: Simplify 0 into 0
8.465 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.465 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.468 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.468 * [backup-simplify]: Simplify (+ 0 0) into 0
8.469 * [backup-simplify]: Simplify (+ 0 0) into 0
8.470 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.470 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
8.470 * [taylor]: Taking taylor expansion of -1/2 in y
8.470 * [backup-simplify]: Simplify -1/2 into -1/2
8.470 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
8.470 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
8.470 * [taylor]: Taking taylor expansion of 1/2 in y
8.470 * [backup-simplify]: Simplify 1/2 into 1/2
8.470 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
8.470 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.470 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.471 * [taylor]: Taking taylor expansion of z in y
8.471 * [backup-simplify]: Simplify z into z
8.471 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.471 * [taylor]: Taking taylor expansion of y in y
8.471 * [backup-simplify]: Simplify 0 into 0
8.471 * [backup-simplify]: Simplify 1 into 1
8.471 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.471 * [backup-simplify]: Simplify (* 1 1) into 1
8.471 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.471 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.471 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
8.471 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.471 * [taylor]: Taking taylor expansion of 1/4 in y
8.471 * [backup-simplify]: Simplify 1/4 into 1/4
8.471 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.471 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.471 * [taylor]: Taking taylor expansion of y in y
8.471 * [backup-simplify]: Simplify 0 into 0
8.472 * [backup-simplify]: Simplify 1 into 1
8.472 * [backup-simplify]: Simplify (* 1 1) into 1
8.472 * [backup-simplify]: Simplify (* 1 1) into 1
8.473 * [backup-simplify]: Simplify (/ 1 1) into 1
8.473 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
8.473 * [taylor]: Taking taylor expansion of 1/4 in y
8.473 * [backup-simplify]: Simplify 1/4 into 1/4
8.473 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
8.473 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.473 * [taylor]: Taking taylor expansion of z in y
8.473 * [backup-simplify]: Simplify z into z
8.473 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.473 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.473 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
8.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.474 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.475 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.475 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
8.476 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.486 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.490 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.491 * [backup-simplify]: Simplify (+ 0 0) into 0
8.491 * [backup-simplify]: Simplify (+ 0 0) into 0
8.491 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
8.493 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.493 * [backup-simplify]: Simplify (+ 0 0) into 0
8.493 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
8.494 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.494 * [backup-simplify]: Simplify (+ 0 0) into 0
8.495 * [backup-simplify]: Simplify (+ 0 0) into 0
8.495 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.495 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
8.496 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.497 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.497 * [taylor]: Taking taylor expansion of 0 in z
8.497 * [backup-simplify]: Simplify 0 into 0
8.497 * [taylor]: Taking taylor expansion of 0 in z
8.497 * [backup-simplify]: Simplify 0 into 0
8.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.500 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.500 * [backup-simplify]: Simplify (+ 0 0) into 0
8.502 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.502 * [taylor]: Taking taylor expansion of 0 in z
8.502 * [backup-simplify]: Simplify 0 into 0
8.502 * [taylor]: Taking taylor expansion of 0 in z
8.502 * [backup-simplify]: Simplify 0 into 0
8.502 * [taylor]: Taking taylor expansion of 0 in z
8.502 * [backup-simplify]: Simplify 0 into 0
8.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.505 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.505 * [backup-simplify]: Simplify 0 into 0
8.505 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
8.505 * [backup-simplify]: Simplify (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
8.505 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
8.505 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.506 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.506 * [taylor]: Taking taylor expansion of y in z
8.506 * [backup-simplify]: Simplify y into y
8.506 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.506 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.506 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.506 * [taylor]: Taking taylor expansion of x in z
8.506 * [backup-simplify]: Simplify x into x
8.506 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.506 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.506 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.506 * [taylor]: Taking taylor expansion of z in z
8.506 * [backup-simplify]: Simplify 0 into 0
8.506 * [backup-simplify]: Simplify 1 into 1
8.507 * [backup-simplify]: Simplify (* 1 1) into 1
8.507 * [backup-simplify]: Simplify (/ 1 1) into 1
8.507 * [backup-simplify]: Simplify (+ 0 1) into 1
8.508 * [backup-simplify]: Simplify (+ 0 1) into 1
8.508 * [backup-simplify]: Simplify (sqrt 1) into 1
8.509 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.510 * [backup-simplify]: Simplify (+ 0 0) into 0
8.510 * [backup-simplify]: Simplify (+ 0 0) into 0
8.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.511 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.511 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.511 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.511 * [taylor]: Taking taylor expansion of y in y
8.511 * [backup-simplify]: Simplify 0 into 0
8.511 * [backup-simplify]: Simplify 1 into 1
8.512 * [backup-simplify]: Simplify (* 1 1) into 1
8.512 * [backup-simplify]: Simplify (/ 1 1) into 1
8.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.512 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.512 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.512 * [taylor]: Taking taylor expansion of x in y
8.512 * [backup-simplify]: Simplify x into x
8.512 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.512 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.512 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.512 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.512 * [taylor]: Taking taylor expansion of z in y
8.512 * [backup-simplify]: Simplify z into z
8.513 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.513 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.513 * [backup-simplify]: Simplify (+ 1 0) into 1
8.513 * [backup-simplify]: Simplify (sqrt 1) into 1
8.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.515 * [backup-simplify]: Simplify (+ 0 0) into 0
8.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.516 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.516 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.516 * [taylor]: Taking taylor expansion of y in x
8.516 * [backup-simplify]: Simplify y into y
8.517 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.517 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.517 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.517 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.517 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.517 * [taylor]: Taking taylor expansion of x in x
8.517 * [backup-simplify]: Simplify 0 into 0
8.517 * [backup-simplify]: Simplify 1 into 1
8.517 * [backup-simplify]: Simplify (* 1 1) into 1
8.518 * [backup-simplify]: Simplify (/ 1 1) into 1
8.518 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.518 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.518 * [taylor]: Taking taylor expansion of z in x
8.518 * [backup-simplify]: Simplify z into z
8.518 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.518 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.518 * [backup-simplify]: Simplify (+ 1 0) into 1
8.519 * [backup-simplify]: Simplify (+ 0 1) into 1
8.519 * [backup-simplify]: Simplify (sqrt 1) into 1
8.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.521 * [backup-simplify]: Simplify (+ 0 0) into 0
8.522 * [backup-simplify]: Simplify (+ 0 0) into 0
8.522 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.522 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.522 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.522 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.522 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.523 * [taylor]: Taking taylor expansion of y in x
8.523 * [backup-simplify]: Simplify y into y
8.523 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.523 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.523 * [taylor]: Taking taylor expansion of x in x
8.523 * [backup-simplify]: Simplify 0 into 0
8.523 * [backup-simplify]: Simplify 1 into 1
8.523 * [backup-simplify]: Simplify (* 1 1) into 1
8.524 * [backup-simplify]: Simplify (/ 1 1) into 1
8.524 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.524 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.524 * [taylor]: Taking taylor expansion of z in x
8.524 * [backup-simplify]: Simplify z into z
8.524 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.524 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.524 * [backup-simplify]: Simplify (+ 1 0) into 1
8.525 * [backup-simplify]: Simplify (+ 0 1) into 1
8.525 * [backup-simplify]: Simplify (sqrt 1) into 1
8.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.527 * [backup-simplify]: Simplify (+ 0 0) into 0
8.528 * [backup-simplify]: Simplify (+ 0 0) into 0
8.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.528 * [taylor]: Taking taylor expansion of 1 in y
8.528 * [backup-simplify]: Simplify 1 into 1
8.529 * [taylor]: Taking taylor expansion of 0 in y
8.529 * [backup-simplify]: Simplify 0 into 0
8.529 * [taylor]: Taking taylor expansion of 1 in z
8.529 * [backup-simplify]: Simplify 1 into 1
8.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.531 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.531 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.532 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
8.532 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
8.532 * [taylor]: Taking taylor expansion of 1/2 in y
8.532 * [backup-simplify]: Simplify 1/2 into 1/2
8.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
8.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.532 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.533 * [taylor]: Taking taylor expansion of y in y
8.533 * [backup-simplify]: Simplify 0 into 0
8.533 * [backup-simplify]: Simplify 1 into 1
8.533 * [backup-simplify]: Simplify (* 1 1) into 1
8.533 * [backup-simplify]: Simplify (/ 1 1) into 1
8.533 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.533 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.533 * [taylor]: Taking taylor expansion of z in y
8.533 * [backup-simplify]: Simplify z into z
8.534 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.534 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.535 * [backup-simplify]: Simplify (+ 0 0) into 0
8.536 * [backup-simplify]: Simplify (+ 1 0) into 1
8.537 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.537 * [taylor]: Taking taylor expansion of 0 in z
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [taylor]: Taking taylor expansion of 0 in z
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [taylor]: Taking taylor expansion of 0 in z
8.537 * [backup-simplify]: Simplify 0 into 0
8.537 * [backup-simplify]: Simplify 1 into 1
8.537 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.540 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.540 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.541 * [backup-simplify]: Simplify (+ 0 0) into 0
8.541 * [backup-simplify]: Simplify (+ 0 0) into 0
8.542 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.542 * [taylor]: Taking taylor expansion of 0 in y
8.542 * [backup-simplify]: Simplify 0 into 0
8.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.544 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.545 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
8.545 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
8.545 * [taylor]: Taking taylor expansion of 1/2 in z
8.545 * [backup-simplify]: Simplify 1/2 into 1/2
8.545 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.545 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.545 * [taylor]: Taking taylor expansion of z in z
8.545 * [backup-simplify]: Simplify 0 into 0
8.545 * [backup-simplify]: Simplify 1 into 1
8.546 * [backup-simplify]: Simplify (* 1 1) into 1
8.546 * [backup-simplify]: Simplify (/ 1 1) into 1
8.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [taylor]: Taking taylor expansion of 0 in z
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [taylor]: Taking taylor expansion of 0 in z
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify 0 into 0
8.549 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.551 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.552 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.552 * [backup-simplify]: Simplify (+ 0 0) into 0
8.552 * [backup-simplify]: Simplify (+ 0 0) into 0
8.553 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.553 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
8.553 * [taylor]: Taking taylor expansion of -1/2 in y
8.553 * [backup-simplify]: Simplify -1/2 into -1/2
8.553 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
8.553 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
8.553 * [taylor]: Taking taylor expansion of 1/2 in y
8.553 * [backup-simplify]: Simplify 1/2 into 1/2
8.553 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
8.553 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.553 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.553 * [taylor]: Taking taylor expansion of z in y
8.553 * [backup-simplify]: Simplify z into z
8.553 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.553 * [taylor]: Taking taylor expansion of y in y
8.553 * [backup-simplify]: Simplify 0 into 0
8.553 * [backup-simplify]: Simplify 1 into 1
8.553 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.554 * [backup-simplify]: Simplify (* 1 1) into 1
8.554 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.554 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.554 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
8.554 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
8.554 * [taylor]: Taking taylor expansion of 1/4 in y
8.554 * [backup-simplify]: Simplify 1/4 into 1/4
8.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
8.554 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.554 * [taylor]: Taking taylor expansion of y in y
8.554 * [backup-simplify]: Simplify 0 into 0
8.554 * [backup-simplify]: Simplify 1 into 1
8.554 * [backup-simplify]: Simplify (* 1 1) into 1
8.554 * [backup-simplify]: Simplify (* 1 1) into 1
8.555 * [backup-simplify]: Simplify (/ 1 1) into 1
8.555 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
8.555 * [taylor]: Taking taylor expansion of 1/4 in y
8.555 * [backup-simplify]: Simplify 1/4 into 1/4
8.555 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
8.555 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.555 * [taylor]: Taking taylor expansion of z in y
8.555 * [backup-simplify]: Simplify z into z
8.555 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.555 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.555 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
8.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.555 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.556 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.556 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
8.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.562 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.562 * [backup-simplify]: Simplify (+ 0 0) into 0
8.563 * [backup-simplify]: Simplify (+ 0 0) into 0
8.563 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
8.563 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
8.563 * [backup-simplify]: Simplify (+ 0 0) into 0
8.564 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
8.564 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
8.564 * [backup-simplify]: Simplify (+ 0 0) into 0
8.565 * [backup-simplify]: Simplify (+ 0 0) into 0
8.565 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
8.565 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
8.565 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
8.566 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
8.566 * [taylor]: Taking taylor expansion of 0 in z
8.566 * [backup-simplify]: Simplify 0 into 0
8.566 * [taylor]: Taking taylor expansion of 0 in z
8.566 * [backup-simplify]: Simplify 0 into 0
8.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.567 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.568 * [backup-simplify]: Simplify (+ 0 0) into 0
8.568 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
8.569 * [taylor]: Taking taylor expansion of 0 in z
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [taylor]: Taking taylor expansion of 0 in z
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [taylor]: Taking taylor expansion of 0 in z
8.569 * [backup-simplify]: Simplify 0 into 0
8.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
8.570 * [backup-simplify]: Simplify 0 into 0
8.570 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
8.571 * * * * [progress]: [ 4 / 4 ] generating series at (2)
8.571 * [backup-simplify]: Simplify (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
8.571 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
8.571 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
8.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
8.571 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
8.571 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.571 * [taylor]: Taking taylor expansion of y in z
8.571 * [backup-simplify]: Simplify y into y
8.571 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
8.571 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.571 * [taylor]: Taking taylor expansion of x in z
8.571 * [backup-simplify]: Simplify x into x
8.571 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.571 * [taylor]: Taking taylor expansion of z in z
8.571 * [backup-simplify]: Simplify 0 into 0
8.571 * [backup-simplify]: Simplify 1 into 1
8.571 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.571 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.571 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
8.572 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
8.572 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
8.572 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.572 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.572 * [backup-simplify]: Simplify (+ 0 0) into 0
8.572 * [backup-simplify]: Simplify (+ 0 0) into 0
8.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
8.572 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.572 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.572 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.573 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.573 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.573 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
8.573 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
8.573 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
8.573 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.573 * [taylor]: Taking taylor expansion of y in y
8.573 * [backup-simplify]: Simplify 0 into 0
8.573 * [backup-simplify]: Simplify 1 into 1
8.573 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
8.573 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.573 * [taylor]: Taking taylor expansion of x in y
8.573 * [backup-simplify]: Simplify x into x
8.573 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.573 * [taylor]: Taking taylor expansion of z in y
8.573 * [backup-simplify]: Simplify z into z
8.573 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.573 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.573 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
8.574 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
8.574 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
8.574 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
8.574 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.574 * [backup-simplify]: Simplify (+ 0 0) into 0
8.574 * [backup-simplify]: Simplify (+ 0 0) into 0
8.574 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
8.574 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.574 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.574 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.575 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.575 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
8.575 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.575 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.575 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.575 * [taylor]: Taking taylor expansion of y in x
8.575 * [backup-simplify]: Simplify y into y
8.575 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.575 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.575 * [taylor]: Taking taylor expansion of x in x
8.575 * [backup-simplify]: Simplify 0 into 0
8.575 * [backup-simplify]: Simplify 1 into 1
8.575 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.575 * [taylor]: Taking taylor expansion of z in x
8.575 * [backup-simplify]: Simplify z into z
8.575 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.575 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.575 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.576 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.576 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.576 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.576 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.576 * [backup-simplify]: Simplify (+ 0 0) into 0
8.576 * [backup-simplify]: Simplify (+ 0 0) into 0
8.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.576 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.576 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.576 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.577 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.577 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
8.577 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
8.577 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
8.577 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.577 * [taylor]: Taking taylor expansion of y in x
8.577 * [backup-simplify]: Simplify y into y
8.577 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
8.577 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.577 * [taylor]: Taking taylor expansion of x in x
8.577 * [backup-simplify]: Simplify 0 into 0
8.577 * [backup-simplify]: Simplify 1 into 1
8.577 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.578 * [taylor]: Taking taylor expansion of z in x
8.578 * [backup-simplify]: Simplify z into z
8.578 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.578 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.578 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.578 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
8.578 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
8.578 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.578 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.578 * [backup-simplify]: Simplify (+ 0 0) into 0
8.578 * [backup-simplify]: Simplify (+ 0 0) into 0
8.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
8.579 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.579 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.579 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.579 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.580 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
8.580 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
8.580 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
8.580 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.580 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.580 * [taylor]: Taking taylor expansion of y in y
8.580 * [backup-simplify]: Simplify 0 into 0
8.580 * [backup-simplify]: Simplify 1 into 1
8.580 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.580 * [taylor]: Taking taylor expansion of z in y
8.580 * [backup-simplify]: Simplify z into z
8.580 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.580 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.580 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
8.580 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.580 * [backup-simplify]: Simplify (+ 0 0) into 0
8.580 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
8.580 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.580 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.580 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.581 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.582 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
8.582 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
8.582 * [taylor]: Taking taylor expansion of z in z
8.582 * [backup-simplify]: Simplify 0 into 0
8.582 * [backup-simplify]: Simplify 1 into 1
8.582 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.582 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.582 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.582 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.584 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
8.584 * [backup-simplify]: Simplify 0 into 0
8.585 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.585 * [taylor]: Taking taylor expansion of 0 in y
8.585 * [backup-simplify]: Simplify 0 into 0
8.585 * [taylor]: Taking taylor expansion of 0 in z
8.585 * [backup-simplify]: Simplify 0 into 0
8.585 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.586 * [taylor]: Taking taylor expansion of 0 in z
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 0 into 0
8.588 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
8.588 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.589 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.590 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.590 * [backup-simplify]: Simplify (* 1 1) into 1
8.591 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.591 * [backup-simplify]: Simplify (+ 1 0) into 1
8.592 * [backup-simplify]: Simplify (+ 0 1) into 1
8.593 * [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)))))
8.593 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
8.593 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
8.594 * [taylor]: Taking taylor expansion of 1/2 in y
8.594 * [backup-simplify]: Simplify 1/2 into 1/2
8.594 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
8.594 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
8.594 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
8.594 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
8.594 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.594 * [taylor]: Taking taylor expansion of y in y
8.594 * [backup-simplify]: Simplify 0 into 0
8.594 * [backup-simplify]: Simplify 1 into 1
8.594 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.594 * [taylor]: Taking taylor expansion of z in y
8.594 * [backup-simplify]: Simplify z into z
8.594 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.594 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
8.594 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.594 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
8.594 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.594 * [backup-simplify]: Simplify (+ 0 0) into 0
8.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
8.594 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.594 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.594 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.595 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.595 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
8.596 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
8.596 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
8.596 * [taylor]: Taking taylor expansion of 1/2 in z
8.596 * [backup-simplify]: Simplify 1/2 into 1/2
8.596 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
8.596 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.596 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.596 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.596 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.597 * [taylor]: Taking taylor expansion of z in z
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 1 into 1
8.597 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.598 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [taylor]: Taking taylor expansion of 0 in z
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 0 into 0
8.599 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.599 * [backup-simplify]: Simplify (* 1 1) into 1
8.600 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.600 * [backup-simplify]: Simplify (+ 1 0) into 1
8.600 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
8.601 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
8.601 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
8.601 * [taylor]: Taking taylor expansion of 1/2 in z
8.601 * [backup-simplify]: Simplify 1/2 into 1/2
8.601 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
8.601 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.601 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.601 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.601 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.602 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.602 * [taylor]: Taking taylor expansion of z in z
8.602 * [backup-simplify]: Simplify 0 into 0
8.602 * [backup-simplify]: Simplify 1 into 1
8.602 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.603 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.604 * [backup-simplify]: Simplify 0 into 0
8.604 * [backup-simplify]: Simplify 0 into 0
8.604 * [backup-simplify]: Simplify 0 into 0
8.604 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.605 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.605 * [backup-simplify]: Simplify 0 into 0
8.606 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
8.606 * [backup-simplify]: Simplify (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z))))) (sqrt (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))))) 1) (/ (sqrt (+ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 z) (/ 1 z)))) 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
8.606 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
8.606 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
8.606 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.606 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.606 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.606 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.606 * [taylor]: Taking taylor expansion of y in z
8.606 * [backup-simplify]: Simplify y into y
8.607 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.607 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.607 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.607 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.607 * [taylor]: Taking taylor expansion of x in z
8.607 * [backup-simplify]: Simplify x into x
8.607 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.607 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.607 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.607 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.607 * [taylor]: Taking taylor expansion of z in z
8.607 * [backup-simplify]: Simplify 0 into 0
8.607 * [backup-simplify]: Simplify 1 into 1
8.611 * [backup-simplify]: Simplify (* 1 1) into 1
8.612 * [backup-simplify]: Simplify (/ 1 1) into 1
8.612 * [backup-simplify]: Simplify (+ 0 1) into 1
8.613 * [backup-simplify]: Simplify (+ 0 1) into 1
8.613 * [backup-simplify]: Simplify (sqrt 1) into 1
8.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.614 * [backup-simplify]: Simplify (+ 0 0) into 0
8.614 * [backup-simplify]: Simplify (+ 0 0) into 0
8.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.615 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.615 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.615 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.615 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.616 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.616 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.616 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.616 * [taylor]: Taking taylor expansion of y in y
8.616 * [backup-simplify]: Simplify 0 into 0
8.616 * [backup-simplify]: Simplify 1 into 1
8.616 * [backup-simplify]: Simplify (* 1 1) into 1
8.616 * [backup-simplify]: Simplify (/ 1 1) into 1
8.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.616 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.616 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.616 * [taylor]: Taking taylor expansion of x in y
8.616 * [backup-simplify]: Simplify x into x
8.616 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.616 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.616 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.616 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.616 * [taylor]: Taking taylor expansion of z in y
8.616 * [backup-simplify]: Simplify z into z
8.616 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.617 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.617 * [backup-simplify]: Simplify (+ 1 0) into 1
8.617 * [backup-simplify]: Simplify (sqrt 1) into 1
8.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.618 * [backup-simplify]: Simplify (+ 0 0) into 0
8.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.619 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.619 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.619 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.619 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.619 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.620 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.620 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.620 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.620 * [taylor]: Taking taylor expansion of y in x
8.620 * [backup-simplify]: Simplify y into y
8.620 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.620 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.620 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.620 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.620 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.620 * [taylor]: Taking taylor expansion of x in x
8.620 * [backup-simplify]: Simplify 0 into 0
8.620 * [backup-simplify]: Simplify 1 into 1
8.620 * [backup-simplify]: Simplify (* 1 1) into 1
8.620 * [backup-simplify]: Simplify (/ 1 1) into 1
8.620 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.621 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.621 * [taylor]: Taking taylor expansion of z in x
8.621 * [backup-simplify]: Simplify z into z
8.621 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.621 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.621 * [backup-simplify]: Simplify (+ 1 0) into 1
8.621 * [backup-simplify]: Simplify (+ 0 1) into 1
8.622 * [backup-simplify]: Simplify (sqrt 1) into 1
8.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.623 * [backup-simplify]: Simplify (+ 0 0) into 0
8.623 * [backup-simplify]: Simplify (+ 0 0) into 0
8.623 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.623 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.623 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.623 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.624 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.624 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.624 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.624 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.624 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.624 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.624 * [taylor]: Taking taylor expansion of y in x
8.624 * [backup-simplify]: Simplify y into y
8.624 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.624 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.624 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.624 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.624 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.624 * [taylor]: Taking taylor expansion of x in x
8.624 * [backup-simplify]: Simplify 0 into 0
8.624 * [backup-simplify]: Simplify 1 into 1
8.625 * [backup-simplify]: Simplify (* 1 1) into 1
8.625 * [backup-simplify]: Simplify (/ 1 1) into 1
8.625 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.625 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.625 * [taylor]: Taking taylor expansion of z in x
8.625 * [backup-simplify]: Simplify z into z
8.625 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.625 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.625 * [backup-simplify]: Simplify (+ 1 0) into 1
8.626 * [backup-simplify]: Simplify (+ 0 1) into 1
8.626 * [backup-simplify]: Simplify (sqrt 1) into 1
8.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.627 * [backup-simplify]: Simplify (+ 0 0) into 0
8.627 * [backup-simplify]: Simplify (+ 0 0) into 0
8.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.628 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.628 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.628 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.628 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.629 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
8.629 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.629 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.629 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.630 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.631 * [taylor]: Taking taylor expansion of 0 in y
8.631 * [backup-simplify]: Simplify 0 into 0
8.631 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.631 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.631 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.632 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.634 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.635 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.636 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.636 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.637 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
8.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
8.639 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
8.639 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
8.639 * [taylor]: Taking taylor expansion of 1/2 in y
8.639 * [backup-simplify]: Simplify 1/2 into 1/2
8.639 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
8.639 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.639 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.639 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.640 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.641 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.641 * [taylor]: Taking taylor expansion of z in y
8.641 * [backup-simplify]: Simplify z into z
8.641 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.641 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.641 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
8.641 * [taylor]: Taking taylor expansion of 1/2 in y
8.641 * [backup-simplify]: Simplify 1/2 into 1/2
8.641 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
8.641 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.641 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.641 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.642 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.643 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.643 * [taylor]: Taking taylor expansion of y in y
8.643 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 1 into 1
8.643 * [backup-simplify]: Simplify (* 1 1) into 1
8.644 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.647 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.647 * [backup-simplify]: Simplify (+ 0 0) into 0
8.647 * [taylor]: Taking taylor expansion of 0 in z
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [taylor]: Taking taylor expansion of 0 in z
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [taylor]: Taking taylor expansion of 0 in z
8.647 * [backup-simplify]: Simplify 0 into 0
8.648 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.649 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.649 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.651 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.652 * [backup-simplify]: Simplify (+ 0 0) into 0
8.652 * [backup-simplify]: Simplify (+ 0 0) into 0
8.653 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.655 * [taylor]: Taking taylor expansion of 0 in y
8.655 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.656 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.659 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.659 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
8.659 * [taylor]: Taking taylor expansion of 1/2 in z
8.659 * [backup-simplify]: Simplify 1/2 into 1/2
8.659 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.659 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.659 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.659 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.659 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.660 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.660 * [taylor]: Taking taylor expansion of z in z
8.660 * [backup-simplify]: Simplify 0 into 0
8.660 * [backup-simplify]: Simplify 1 into 1
8.660 * [backup-simplify]: Simplify (* 1 1) into 1
8.661 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.662 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.662 * [backup-simplify]: Simplify 0 into 0
8.662 * [taylor]: Taking taylor expansion of 0 in z
8.662 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.663 * [taylor]: Taking taylor expansion of 0 in z
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 0 into 0
8.664 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.664 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.666 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.666 * [backup-simplify]: Simplify (+ 0 0) into 0
8.666 * [backup-simplify]: Simplify (+ 0 0) into 0
8.667 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
8.670 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
8.670 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
8.670 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
8.670 * [taylor]: Taking taylor expansion of 1/4 in y
8.670 * [backup-simplify]: Simplify 1/4 into 1/4
8.670 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
8.670 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.670 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.670 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.670 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.670 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.670 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.670 * [taylor]: Taking taylor expansion of z in y
8.670 * [backup-simplify]: Simplify z into z
8.670 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.670 * [taylor]: Taking taylor expansion of y in y
8.671 * [backup-simplify]: Simplify 0 into 0
8.671 * [backup-simplify]: Simplify 1 into 1
8.671 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.671 * [backup-simplify]: Simplify (* 1 1) into 1
8.671 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.671 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.671 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
8.671 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
8.671 * [taylor]: Taking taylor expansion of 1/8 in y
8.671 * [backup-simplify]: Simplify 1/8 into 1/8
8.671 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
8.671 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.671 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.671 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.672 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.672 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.672 * [taylor]: Taking taylor expansion of y in y
8.672 * [backup-simplify]: Simplify 0 into 0
8.672 * [backup-simplify]: Simplify 1 into 1
8.672 * [backup-simplify]: Simplify (* 1 1) into 1
8.673 * [backup-simplify]: Simplify (* 1 1) into 1
8.673 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.673 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
8.673 * [taylor]: Taking taylor expansion of 1/8 in y
8.673 * [backup-simplify]: Simplify 1/8 into 1/8
8.673 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
8.673 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.673 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.673 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.674 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.674 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.674 * [taylor]: Taking taylor expansion of z in y
8.674 * [backup-simplify]: Simplify z into z
8.674 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.674 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.675 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
8.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.675 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.675 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.676 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.677 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.678 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.680 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.684 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.684 * [backup-simplify]: Simplify (+ 0 0) into 0
8.684 * [backup-simplify]: Simplify (+ 0 0) into 0
8.684 * [backup-simplify]: Simplify (- 0) into 0
8.684 * [taylor]: Taking taylor expansion of 0 in z
8.684 * [backup-simplify]: Simplify 0 into 0
8.684 * [taylor]: Taking taylor expansion of 0 in z
8.685 * [backup-simplify]: Simplify 0 into 0
8.685 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.685 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.686 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.686 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.687 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.689 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.689 * [backup-simplify]: Simplify (+ 0 0) into 0
8.689 * [taylor]: Taking taylor expansion of 0 in z
8.689 * [backup-simplify]: Simplify 0 into 0
8.689 * [taylor]: Taking taylor expansion of 0 in z
8.689 * [backup-simplify]: Simplify 0 into 0
8.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.690 * [taylor]: Taking taylor expansion of 0 in z
8.690 * [backup-simplify]: Simplify 0 into 0
8.692 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.695 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.695 * [backup-simplify]: Simplify 0 into 0
8.695 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
8.697 * [backup-simplify]: Simplify (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z)))))) (sqrt (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))))) 1) (/ (sqrt (+ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- z)) (/ 1 (- z))))) 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
8.697 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
8.697 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
8.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
8.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
8.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
8.697 * [taylor]: Taking taylor expansion of (pow y 2) in z
8.697 * [taylor]: Taking taylor expansion of y in z
8.697 * [backup-simplify]: Simplify y into y
8.697 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.697 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
8.697 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
8.697 * [taylor]: Taking taylor expansion of (pow x 2) in z
8.697 * [taylor]: Taking taylor expansion of x in z
8.697 * [backup-simplify]: Simplify x into x
8.697 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.697 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.698 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
8.698 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.698 * [taylor]: Taking taylor expansion of z in z
8.698 * [backup-simplify]: Simplify 0 into 0
8.698 * [backup-simplify]: Simplify 1 into 1
8.698 * [backup-simplify]: Simplify (* 1 1) into 1
8.698 * [backup-simplify]: Simplify (/ 1 1) into 1
8.699 * [backup-simplify]: Simplify (+ 0 1) into 1
8.699 * [backup-simplify]: Simplify (+ 0 1) into 1
8.700 * [backup-simplify]: Simplify (sqrt 1) into 1
8.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.701 * [backup-simplify]: Simplify (+ 0 0) into 0
8.702 * [backup-simplify]: Simplify (+ 0 0) into 0
8.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.702 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.702 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.702 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.702 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.703 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
8.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
8.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
8.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
8.703 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.703 * [taylor]: Taking taylor expansion of y in y
8.703 * [backup-simplify]: Simplify 0 into 0
8.703 * [backup-simplify]: Simplify 1 into 1
8.703 * [backup-simplify]: Simplify (* 1 1) into 1
8.703 * [backup-simplify]: Simplify (/ 1 1) into 1
8.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
8.703 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
8.703 * [taylor]: Taking taylor expansion of (pow x 2) in y
8.703 * [taylor]: Taking taylor expansion of x in y
8.703 * [backup-simplify]: Simplify x into x
8.704 * [backup-simplify]: Simplify (* x x) into (pow x 2)
8.704 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
8.704 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
8.704 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.704 * [taylor]: Taking taylor expansion of z in y
8.704 * [backup-simplify]: Simplify z into z
8.704 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.704 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.704 * [backup-simplify]: Simplify (+ 1 0) into 1
8.704 * [backup-simplify]: Simplify (sqrt 1) into 1
8.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.705 * [backup-simplify]: Simplify (+ 0 0) into 0
8.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.706 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.706 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.706 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.706 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.707 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.707 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.707 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.707 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.707 * [taylor]: Taking taylor expansion of y in x
8.707 * [backup-simplify]: Simplify y into y
8.707 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.707 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.707 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.707 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.707 * [taylor]: Taking taylor expansion of x in x
8.707 * [backup-simplify]: Simplify 0 into 0
8.707 * [backup-simplify]: Simplify 1 into 1
8.707 * [backup-simplify]: Simplify (* 1 1) into 1
8.707 * [backup-simplify]: Simplify (/ 1 1) into 1
8.707 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.707 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.707 * [taylor]: Taking taylor expansion of z in x
8.707 * [backup-simplify]: Simplify z into z
8.707 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.708 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.708 * [backup-simplify]: Simplify (+ 1 0) into 1
8.708 * [backup-simplify]: Simplify (+ 0 1) into 1
8.708 * [backup-simplify]: Simplify (sqrt 1) into 1
8.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.709 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.709 * [backup-simplify]: Simplify (+ 0 0) into 0
8.710 * [backup-simplify]: Simplify (+ 0 0) into 0
8.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.710 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.710 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.710 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.710 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.711 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
8.711 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
8.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
8.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
8.711 * [taylor]: Taking taylor expansion of (pow y 2) in x
8.711 * [taylor]: Taking taylor expansion of y in x
8.711 * [backup-simplify]: Simplify y into y
8.711 * [backup-simplify]: Simplify (* y y) into (pow y 2)
8.711 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
8.711 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
8.711 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
8.711 * [taylor]: Taking taylor expansion of (pow x 2) in x
8.711 * [taylor]: Taking taylor expansion of x in x
8.711 * [backup-simplify]: Simplify 0 into 0
8.711 * [backup-simplify]: Simplify 1 into 1
8.711 * [backup-simplify]: Simplify (* 1 1) into 1
8.712 * [backup-simplify]: Simplify (/ 1 1) into 1
8.712 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
8.712 * [taylor]: Taking taylor expansion of (pow z 2) in x
8.712 * [taylor]: Taking taylor expansion of z in x
8.712 * [backup-simplify]: Simplify z into z
8.712 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.712 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
8.712 * [backup-simplify]: Simplify (+ 1 0) into 1
8.712 * [backup-simplify]: Simplify (+ 0 1) into 1
8.713 * [backup-simplify]: Simplify (sqrt 1) into 1
8.713 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.714 * [backup-simplify]: Simplify (+ 0 0) into 0
8.714 * [backup-simplify]: Simplify (+ 0 0) into 0
8.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
8.714 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
8.714 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
8.714 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.715 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.720 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
8.720 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.720 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.720 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.720 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.721 * [taylor]: Taking taylor expansion of 0 in y
8.721 * [backup-simplify]: Simplify 0 into 0
8.721 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.721 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.721 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.721 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.723 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.724 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
8.724 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
8.725 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
8.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
8.726 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
8.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
8.726 * [taylor]: Taking taylor expansion of 1/2 in y
8.726 * [backup-simplify]: Simplify 1/2 into 1/2
8.726 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
8.726 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.726 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.726 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.726 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.727 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.727 * [taylor]: Taking taylor expansion of z in y
8.727 * [backup-simplify]: Simplify z into z
8.727 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.727 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.727 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
8.727 * [taylor]: Taking taylor expansion of 1/2 in y
8.727 * [backup-simplify]: Simplify 1/2 into 1/2
8.727 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
8.727 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.727 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.727 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.727 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.728 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.728 * [taylor]: Taking taylor expansion of y in y
8.728 * [backup-simplify]: Simplify 0 into 0
8.728 * [backup-simplify]: Simplify 1 into 1
8.728 * [backup-simplify]: Simplify (* 1 1) into 1
8.729 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.731 * [backup-simplify]: Simplify (+ 0 0) into 0
8.731 * [taylor]: Taking taylor expansion of 0 in z
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [taylor]: Taking taylor expansion of 0 in z
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [taylor]: Taking taylor expansion of 0 in z
8.731 * [backup-simplify]: Simplify 0 into 0
8.731 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.732 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.732 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
8.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
8.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.733 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
8.734 * [backup-simplify]: Simplify (+ 0 0) into 0
8.734 * [backup-simplify]: Simplify (+ 0 0) into 0
8.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
8.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.736 * [taylor]: Taking taylor expansion of 0 in y
8.736 * [backup-simplify]: Simplify 0 into 0
8.736 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.737 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.739 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
8.739 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
8.739 * [taylor]: Taking taylor expansion of 1/2 in z
8.739 * [backup-simplify]: Simplify 1/2 into 1/2
8.739 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
8.739 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
8.739 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
8.739 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.739 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.740 * [taylor]: Taking taylor expansion of (pow z 2) in z
8.740 * [taylor]: Taking taylor expansion of z in z
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [backup-simplify]: Simplify 1 into 1
8.740 * [backup-simplify]: Simplify (* 1 1) into 1
8.741 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [taylor]: Taking taylor expansion of 0 in z
8.744 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.745 * [taylor]: Taking taylor expansion of 0 in z
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 0 into 0
8.745 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.747 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
8.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
8.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
8.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.750 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
8.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
8.751 * [backup-simplify]: Simplify (+ 0 0) into 0
8.751 * [backup-simplify]: Simplify (+ 0 0) into 0
8.752 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
8.755 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
8.755 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
8.756 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
8.756 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
8.756 * [taylor]: Taking taylor expansion of 1/4 in y
8.756 * [backup-simplify]: Simplify 1/4 into 1/4
8.756 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
8.756 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.756 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.756 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.756 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.757 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
8.757 * [taylor]: Taking taylor expansion of (pow z 2) in y
8.757 * [taylor]: Taking taylor expansion of z in y
8.757 * [backup-simplify]: Simplify z into z
8.757 * [taylor]: Taking taylor expansion of (pow y 2) in y
8.757 * [taylor]: Taking taylor expansion of y in y
8.757 * [backup-simplify]: Simplify 0 into 0
8.757 * [backup-simplify]: Simplify 1 into 1
8.757 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.758 * [backup-simplify]: Simplify (* 1 1) into 1
8.758 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
8.758 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
8.758 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
8.758 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
8.758 * [taylor]: Taking taylor expansion of 1/8 in y
8.758 * [backup-simplify]: Simplify 1/8 into 1/8
8.758 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
8.758 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.759 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.759 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.759 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.760 * [taylor]: Taking taylor expansion of (pow y 4) in y
8.760 * [taylor]: Taking taylor expansion of y in y
8.760 * [backup-simplify]: Simplify 0 into 0
8.760 * [backup-simplify]: Simplify 1 into 1
8.760 * [backup-simplify]: Simplify (* 1 1) into 1
8.761 * [backup-simplify]: Simplify (* 1 1) into 1
8.762 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
8.762 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
8.762 * [taylor]: Taking taylor expansion of 1/8 in y
8.762 * [backup-simplify]: Simplify 1/8 into 1/8
8.762 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
8.762 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
8.762 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
8.762 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
8.762 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
8.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
8.763 * [taylor]: Taking taylor expansion of (pow z 4) in y
8.763 * [taylor]: Taking taylor expansion of z in y
8.763 * [backup-simplify]: Simplify z into z
8.763 * [backup-simplify]: Simplify (* z z) into (pow z 2)
8.763 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
8.764 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
8.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.765 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.765 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
8.766 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.767 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.768 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.769 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.773 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
8.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.776 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.778 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.779 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.779 * [backup-simplify]: Simplify (+ 0 0) into 0
8.780 * [backup-simplify]: Simplify (+ 0 0) into 0
8.780 * [backup-simplify]: Simplify (- 0) into 0
8.780 * [taylor]: Taking taylor expansion of 0 in z
8.780 * [backup-simplify]: Simplify 0 into 0
8.781 * [taylor]: Taking taylor expansion of 0 in z
8.781 * [backup-simplify]: Simplify 0 into 0
8.781 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
8.781 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
8.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
8.784 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.787 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
8.788 * [backup-simplify]: Simplify (+ 0 0) into 0
8.788 * [taylor]: Taking taylor expansion of 0 in z
8.788 * [backup-simplify]: Simplify 0 into 0
8.788 * [taylor]: Taking taylor expansion of 0 in z
8.788 * [backup-simplify]: Simplify 0 into 0
8.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
8.789 * [taylor]: Taking taylor expansion of 0 in z
8.789 * [backup-simplify]: Simplify 0 into 0
8.791 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
8.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
8.795 * * * [progress]: simplifying candidates
8.795 * * * * [progress]: [ 1 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (pow (+ (+ (* x x) (* y y)) (* z z)) 1/2) 3.0))))>
8.795 * * * * [progress]: [ 2 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) 3.0))))>
8.795 * * * * [progress]: [ 3 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
8.795 * * * * [progress]: [ 4 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (log (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
8.795 * * * * [progress]: [ 5 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
8.795 * * * * [progress]: [ 6 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (cbrt (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
8.795 * * * * [progress]: [ 7 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
8.795 * * * * [progress]: [ 8 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
8.795 * * * * [progress]: [ 9 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (* (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
8.795 * * * * [progress]: [ 10 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (/ (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)))))) 3.0))))>
8.795 * * * * [progress]: [ 11 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))) 3.0))))>
8.796 * * * * [progress]: [ 12 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (pow (+ (+ (* x x) (* y y)) (* z z)) (/ 1 2)) 3.0))))>
8.796 * * * * [progress]: [ 13 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
8.796 * * * * [progress]: [ 14 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (fabs (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
8.796 * * * * [progress]: [ 15 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (* 1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))) 3.0))))>
8.796 * * * * [progress]: [ 16 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (posit16->real (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 3.0))))>
8.796 * * * * [progress]: [ 17 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (pow (+ (+ (* x x) (* y y)) (* z z)) 1/2))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.796 * * * * [progress]: [ 18 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.796 * * * * [progress]: [ 19 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.796 * * * * [progress]: [ 20 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (log (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.796 * * * * [progress]: [ 21 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.796 * * * * [progress]: [ 22 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (cbrt (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.796 * * * * [progress]: [ 23 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.796 * * * * [progress]: [ 24 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.796 * * * * [progress]: [ 25 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 26 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (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)))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 27 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z)))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 28 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (pow (+ (+ (* x x) (* y y)) (* z z)) (/ 1 2)))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 29 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 30 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (fabs (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 31 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* 1 (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 32 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (posit16->real (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 33 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (pow (+ (+ (* x x) (* y y)) (* z z)) 1/2)) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 34 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (pow (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1)) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 35 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (exp (log (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 36 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (log (exp (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 37 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (* (* (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 (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.797 * * * * [progress]: [ 38 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (cbrt (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 39 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (* (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))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 40 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 41 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (* (sqrt 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 42 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (/ (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 (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 43 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (/ (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z)))) (sqrt (- (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 44 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (pow (+ (+ (* x x) (* y y)) (* z z)) (/ 1 2))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 45 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 46 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (fabs (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 47 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (* 1 (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 48 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (posit16->real (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z)))))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.798 * * * * [progress]: [ 49 / 75 ] simplifiying candidate #<alt (λ (x y z) (pow (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) 1/2))>
8.798 * * * * [progress]: [ 50 / 75 ] simplifiying candidate #<alt (λ (x y z) (pow (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) 1))>
8.799 * * * * [progress]: [ 51 / 75 ] simplifiying candidate #<alt (λ (x y z) (exp (log (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
8.799 * * * * [progress]: [ 52 / 75 ] simplifiying candidate #<alt (λ (x y z) (log (exp (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
8.799 * * * * [progress]: [ 53 / 75 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (cbrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))) (cbrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
8.799 * * * * [progress]: [ 54 / 75 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
8.799 * * * * [progress]: [ 55 / 75 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1)) (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.799 * * * * [progress]: [ 56 / 75 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (* 1 3.0))))>
8.799 * * * * [progress]: [ 57 / 75 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt 3.0)))>
8.799 * * * * [progress]: [ 58 / 75 ] simplifiying candidate #<alt (λ (x y z) (/ (sqrt (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt 1)))>
8.799 * * * * [progress]: [ 59 / 75 ] simplifiying candidate #<alt (λ (x y z) (pow (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (/ 1 2)))>
8.799 * * * * [progress]: [ 60 / 75 ] simplifiying candidate #<alt (λ (x y z) (pow (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)) (/ 1 2)))>
8.799 * * * * [progress]: [ 61 / 75 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (sqrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
8.799 * * * * [progress]: [ 62 / 75 ] simplifiying candidate #<alt (λ (x y z) (* 1 (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))>
8.799 * * * * [progress]: [ 63 / 75 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))))>
8.800 * * * * [progress]: [ 64 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ z 3.0))))>
8.800 * * * * [progress]: [ 65 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ x 3.0))))>
8.800 * * * * [progress]: [ 66 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (* -1 x) 3.0))))>
8.800 * * * * [progress]: [ 67 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt z)) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.800 * * * * [progress]: [ 68 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt x)) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.800 * * * * [progress]: [ 69 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (* -1 x))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.800 * * * * [progress]: [ 70 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt z) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.800 * * * * [progress]: [ 71 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt x) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.800 * * * * [progress]: [ 72 / 75 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (/ (* (sqrt (* -1 x)) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))>
8.800 * * * * [progress]: [ 73 / 75 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
8.800 * * * * [progress]: [ 74 / 75 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
8.800 * * * * [progress]: [ 75 / 75 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
8.802 * [simplify]: Simplifying:
  (log (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (exp (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (cbrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (* (* (sqrt (+ (+ (* x x) (* y y)) (* z z))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (* (cbrt (+ (+ (* x x) (* y y)) (* z z))) (cbrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (cbrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt 1)
  (sqrt (+ (+ (* x x) (* y y)) (* z z)))
  (sqrt (+ (pow (+ (* x x) (* y y)) 3) (pow (* z z) 3)))
  (sqrt (+ (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (* z z)))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (- (+ (* x x) (* y y)) (* z z)))
  (/ 1 2)
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (real->posit16 (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))))
  (real->posit16 (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))))
  (real->posit16 (sqrt (+ (+ (* x x) (* y y)) (* z z))))
  (log (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (exp (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (* (cbrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (cbrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))))
  (cbrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (* (* (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (sqrt (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1))
  (sqrt (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))
  (sqrt (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt (* 1 3.0))
  (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (sqrt (+ (+ (* x x) (* y y)) (* z z)))))
  (sqrt 3.0)
  (sqrt (* (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0)))
  (sqrt 1)
  (/ 1 2)
  (/ 1 2)
  (sqrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (sqrt (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  (real->posit16 (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
8.804 * * [simplify]: iteration 0: 72 enodes
8.833 * * [simplify]: iteration 1: 149 enodes
8.872 * * [simplify]: iteration 2: 369 enodes
9.017 * * [simplify]: iteration 3: 1066 enodes
9.702 * * [simplify]: iteration 4: 3397 enodes
10.588 * * [simplify]: iteration complete: 5001 enodes
10.588 * * [simplify]: Extracting #0: cost 32 inf + 0
10.588 * * [simplify]: Extracting #1: cost 132 inf + 4
10.589 * * [simplify]: Extracting #2: cost 392 inf + 51
10.593 * * [simplify]: Extracting #3: cost 974 inf + 3239
10.638 * * [simplify]: Extracting #4: cost 896 inf + 92645
10.724 * * [simplify]: Extracting #5: cost 297 inf + 246925
10.835 * * [simplify]: Extracting #6: cost 85 inf + 332637
10.938 * * [simplify]: Extracting #7: cost 36 inf + 358518
11.066 * * [simplify]: Extracting #8: cost 9 inf + 362940
11.205 * * [simplify]: Extracting #9: cost 0 inf + 366306
11.343 * [simplify]: Simplified to:
  (log (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (exp (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))
  (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (* (+ (* x x) (+ (* y y) (* z z))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (fabs (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* (* z z) (* (* z z) (* z z))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (- (* z z) (+ (* x x) (* y y))))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* y y) (- (* x x) (* z z))))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (real->posit16 (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)))))
  (* (+ (* x x) (+ (* y y) (* z z))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (fabs (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* (* z z) (* (* z z) (* z z))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (- (* z z) (+ (* x x) (* y y))))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* y y) (- (* x x) (* z z))))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (real->posit16 (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)))))
  (* (+ (* x x) (+ (* y y) (* z z))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (fabs (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  1
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt (+ (* (* z z) (* (* z z) (* z z))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))))
  (sqrt (- (* (* z z) (* z z)) (* (+ (* x x) (* y y)) (- (* z z) (+ (* x x) (* y y))))))
  (sqrt (- (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (* (* z z) (* z z))))
  (sqrt (+ (* y y) (- (* x x) (* z z))))
  1/2
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (real->posit16 (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (log (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (exp (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (* (cbrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))) (cbrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))))
  (cbrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (* (/ (+ (* x x) (+ (* y y) (* z z))) 3.0) (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt 3.0)
  (sqrt (+ (* x x) (+ (* y y) (* z z))))
  (sqrt 3.0)
  (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0))
  1
  1/2
  1/2
  (sqrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (sqrt (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  (real->posit16 (sqrt (/ (+ (* x x) (+ (* y y) (* z z))) 3.0)))
  z
  x
  (- x)
  z
  x
  (- x)
  z
  x
  (- x)
  (* z (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) x)
  (- (* (sqrt 0.3333333333333333) x))
11.356 * * * [progress]: adding candidates to table
11.723 * * [progress]: iteration 4 / 4
11.723 * * * [progress]: picking best candidate
11.733 * * * * [pick]: Picked  #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
11.733 * * * [progress]: localizing error
11.763 * * * [progress]: generating rewritten candidates
11.763 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 1)
11.790 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1)
11.824 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
11.929 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2)
11.968 * * * [progress]: generating series expansions
11.968 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 1)
11.968 * [backup-simplify]: Simplify (sqrt (+ (* x x) (+ (* y y) (* z z)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
11.968 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
11.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
11.968 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
11.968 * [taylor]: Taking taylor expansion of (pow y 2) in z
11.968 * [taylor]: Taking taylor expansion of y in z
11.969 * [backup-simplify]: Simplify y into y
11.969 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
11.969 * [taylor]: Taking taylor expansion of (pow x 2) in z
11.969 * [taylor]: Taking taylor expansion of x in z
11.969 * [backup-simplify]: Simplify x into x
11.969 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.969 * [taylor]: Taking taylor expansion of z in z
11.969 * [backup-simplify]: Simplify 0 into 0
11.969 * [backup-simplify]: Simplify 1 into 1
11.969 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.969 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.969 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
11.969 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
11.969 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
11.969 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.969 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.970 * [backup-simplify]: Simplify (+ 0 0) into 0
11.970 * [backup-simplify]: Simplify (+ 0 0) into 0
11.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
11.971 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
11.971 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
11.971 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.971 * [taylor]: Taking taylor expansion of y in y
11.971 * [backup-simplify]: Simplify 0 into 0
11.971 * [backup-simplify]: Simplify 1 into 1
11.971 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
11.971 * [taylor]: Taking taylor expansion of (pow x 2) in y
11.971 * [taylor]: Taking taylor expansion of x in y
11.971 * [backup-simplify]: Simplify x into x
11.971 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.971 * [taylor]: Taking taylor expansion of z in y
11.971 * [backup-simplify]: Simplify z into z
11.971 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.971 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.971 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
11.971 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
11.972 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
11.972 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
11.972 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.972 * [backup-simplify]: Simplify (+ 0 0) into 0
11.972 * [backup-simplify]: Simplify (+ 0 0) into 0
11.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
11.973 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
11.973 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
11.973 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.973 * [taylor]: Taking taylor expansion of y in x
11.973 * [backup-simplify]: Simplify y into y
11.973 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
11.973 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.973 * [taylor]: Taking taylor expansion of x in x
11.973 * [backup-simplify]: Simplify 0 into 0
11.973 * [backup-simplify]: Simplify 1 into 1
11.973 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.973 * [taylor]: Taking taylor expansion of z in x
11.973 * [backup-simplify]: Simplify z into z
11.973 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.973 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.973 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.973 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
11.973 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
11.974 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.974 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.974 * [backup-simplify]: Simplify (+ 0 0) into 0
11.974 * [backup-simplify]: Simplify (+ 0 0) into 0
11.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
11.975 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
11.975 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
11.975 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.975 * [taylor]: Taking taylor expansion of y in x
11.975 * [backup-simplify]: Simplify y into y
11.975 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
11.975 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.975 * [taylor]: Taking taylor expansion of x in x
11.975 * [backup-simplify]: Simplify 0 into 0
11.975 * [backup-simplify]: Simplify 1 into 1
11.975 * [taylor]: Taking taylor expansion of (pow z 2) in x
11.975 * [taylor]: Taking taylor expansion of z in x
11.975 * [backup-simplify]: Simplify z into z
11.975 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.975 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.975 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.975 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
11.975 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
11.975 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
11.976 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.976 * [backup-simplify]: Simplify (+ 0 0) into 0
11.976 * [backup-simplify]: Simplify (+ 0 0) into 0
11.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
11.977 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
11.977 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
11.977 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.977 * [taylor]: Taking taylor expansion of y in y
11.977 * [backup-simplify]: Simplify 0 into 0
11.977 * [backup-simplify]: Simplify 1 into 1
11.977 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.977 * [taylor]: Taking taylor expansion of z in y
11.977 * [backup-simplify]: Simplify z into z
11.977 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.977 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.977 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
11.977 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.977 * [backup-simplify]: Simplify (+ 0 0) into 0
11.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
11.978 * [taylor]: Taking taylor expansion of z in z
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [backup-simplify]: Simplify 1 into 1
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [taylor]: Taking taylor expansion of 0 in y
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [taylor]: Taking taylor expansion of 0 in z
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [taylor]: Taking taylor expansion of 0 in z
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [backup-simplify]: Simplify 0 into 0
11.978 * [backup-simplify]: Simplify 1 into 1
11.979 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
11.979 * [backup-simplify]: Simplify (* 1 1) into 1
11.980 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
11.980 * [backup-simplify]: Simplify (+ 1 0) into 1
11.981 * [backup-simplify]: Simplify (+ 0 1) into 1
11.982 * [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)))))
11.982 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
11.982 * [taylor]: Taking taylor expansion of 1/2 in y
11.982 * [backup-simplify]: Simplify 1/2 into 1/2
11.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
11.982 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
11.982 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
11.982 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.982 * [taylor]: Taking taylor expansion of y in y
11.982 * [backup-simplify]: Simplify 0 into 0
11.982 * [backup-simplify]: Simplify 1 into 1
11.982 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.982 * [taylor]: Taking taylor expansion of z in y
11.982 * [backup-simplify]: Simplify z into z
11.982 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.982 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
11.982 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.983 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
11.983 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
11.983 * [backup-simplify]: Simplify (+ 0 0) into 0
11.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
11.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
11.983 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
11.983 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
11.983 * [taylor]: Taking taylor expansion of 1/2 in z
11.983 * [backup-simplify]: Simplify 1/2 into 1/2
11.983 * [taylor]: Taking taylor expansion of z in z
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [backup-simplify]: Simplify 1 into 1
11.984 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.985 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [taylor]: Taking taylor expansion of 0 in z
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify (* 1 1) into 1
11.986 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
11.986 * [backup-simplify]: Simplify (+ 1 0) into 1
11.987 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
11.987 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
11.987 * [taylor]: Taking taylor expansion of 1/2 in z
11.987 * [backup-simplify]: Simplify 1/2 into 1/2
11.987 * [taylor]: Taking taylor expansion of z in z
11.987 * [backup-simplify]: Simplify 0 into 0
11.987 * [backup-simplify]: Simplify 1 into 1
11.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.988 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
11.988 * [backup-simplify]: Simplify 0 into 0
11.988 * [backup-simplify]: Simplify 0 into 0
11.988 * [backup-simplify]: Simplify 0 into 0
11.988 * [backup-simplify]: Simplify 0 into 0
11.989 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
11.989 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
11.989 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
11.989 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
11.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
11.989 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
11.989 * [taylor]: Taking taylor expansion of (pow y 2) in z
11.989 * [taylor]: Taking taylor expansion of y in z
11.989 * [backup-simplify]: Simplify y into y
11.989 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.989 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.989 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
11.989 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
11.989 * [taylor]: Taking taylor expansion of (pow x 2) in z
11.990 * [taylor]: Taking taylor expansion of x in z
11.990 * [backup-simplify]: Simplify x into x
11.990 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.990 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.990 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
11.990 * [taylor]: Taking taylor expansion of (pow z 2) in z
11.990 * [taylor]: Taking taylor expansion of z in z
11.990 * [backup-simplify]: Simplify 0 into 0
11.990 * [backup-simplify]: Simplify 1 into 1
11.990 * [backup-simplify]: Simplify (* 1 1) into 1
11.990 * [backup-simplify]: Simplify (/ 1 1) into 1
11.991 * [backup-simplify]: Simplify (+ 0 1) into 1
11.991 * [backup-simplify]: Simplify (+ 0 1) into 1
11.992 * [backup-simplify]: Simplify (sqrt 1) into 1
11.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.993 * [backup-simplify]: Simplify (+ 0 0) into 0
11.994 * [backup-simplify]: Simplify (+ 0 0) into 0
11.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.994 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
11.994 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
11.994 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
11.994 * [taylor]: Taking taylor expansion of (pow y 2) in y
11.994 * [taylor]: Taking taylor expansion of y in y
11.994 * [backup-simplify]: Simplify 0 into 0
11.995 * [backup-simplify]: Simplify 1 into 1
11.995 * [backup-simplify]: Simplify (* 1 1) into 1
11.995 * [backup-simplify]: Simplify (/ 1 1) into 1
11.995 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
11.995 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
11.995 * [taylor]: Taking taylor expansion of (pow x 2) in y
11.995 * [taylor]: Taking taylor expansion of x in y
11.995 * [backup-simplify]: Simplify x into x
11.995 * [backup-simplify]: Simplify (* x x) into (pow x 2)
11.995 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
11.996 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
11.996 * [taylor]: Taking taylor expansion of (pow z 2) in y
11.996 * [taylor]: Taking taylor expansion of z in y
11.996 * [backup-simplify]: Simplify z into z
11.996 * [backup-simplify]: Simplify (* z z) into (pow z 2)
11.996 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
11.996 * [backup-simplify]: Simplify (+ 1 0) into 1
11.996 * [backup-simplify]: Simplify (sqrt 1) into 1
11.997 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.998 * [backup-simplify]: Simplify (+ 0 0) into 0
11.999 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
11.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
11.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
11.999 * [taylor]: Taking taylor expansion of (pow y 2) in x
11.999 * [taylor]: Taking taylor expansion of y in x
11.999 * [backup-simplify]: Simplify y into y
11.999 * [backup-simplify]: Simplify (* y y) into (pow y 2)
11.999 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
11.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
11.999 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
11.999 * [taylor]: Taking taylor expansion of (pow x 2) in x
11.999 * [taylor]: Taking taylor expansion of x in x
11.999 * [backup-simplify]: Simplify 0 into 0
11.999 * [backup-simplify]: Simplify 1 into 1
11.999 * [backup-simplify]: Simplify (* 1 1) into 1
12.000 * [backup-simplify]: Simplify (/ 1 1) into 1
12.000 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.000 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.000 * [taylor]: Taking taylor expansion of z in x
12.000 * [backup-simplify]: Simplify z into z
12.000 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.000 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.000 * [backup-simplify]: Simplify (+ 1 0) into 1
12.001 * [backup-simplify]: Simplify (+ 0 1) into 1
12.001 * [backup-simplify]: Simplify (sqrt 1) into 1
12.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.003 * [backup-simplify]: Simplify (+ 0 0) into 0
12.003 * [backup-simplify]: Simplify (+ 0 0) into 0
12.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.004 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.004 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.004 * [taylor]: Taking taylor expansion of y in x
12.004 * [backup-simplify]: Simplify y into y
12.004 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.004 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.004 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.004 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.004 * [taylor]: Taking taylor expansion of x in x
12.004 * [backup-simplify]: Simplify 0 into 0
12.004 * [backup-simplify]: Simplify 1 into 1
12.004 * [backup-simplify]: Simplify (* 1 1) into 1
12.005 * [backup-simplify]: Simplify (/ 1 1) into 1
12.005 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.005 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.005 * [taylor]: Taking taylor expansion of z in x
12.005 * [backup-simplify]: Simplify z into z
12.005 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.005 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.005 * [backup-simplify]: Simplify (+ 1 0) into 1
12.006 * [backup-simplify]: Simplify (+ 0 1) into 1
12.006 * [backup-simplify]: Simplify (sqrt 1) into 1
12.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.008 * [backup-simplify]: Simplify (+ 0 0) into 0
12.008 * [backup-simplify]: Simplify (+ 0 0) into 0
12.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.009 * [taylor]: Taking taylor expansion of 1 in y
12.009 * [backup-simplify]: Simplify 1 into 1
12.009 * [taylor]: Taking taylor expansion of 0 in y
12.009 * [backup-simplify]: Simplify 0 into 0
12.009 * [taylor]: Taking taylor expansion of 1 in z
12.009 * [backup-simplify]: Simplify 1 into 1
12.010 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.011 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.011 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.011 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.012 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
12.012 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
12.012 * [taylor]: Taking taylor expansion of 1/2 in y
12.012 * [backup-simplify]: Simplify 1/2 into 1/2
12.012 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
12.012 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.012 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.012 * [taylor]: Taking taylor expansion of y in y
12.012 * [backup-simplify]: Simplify 0 into 0
12.012 * [backup-simplify]: Simplify 1 into 1
12.013 * [backup-simplify]: Simplify (* 1 1) into 1
12.013 * [backup-simplify]: Simplify (/ 1 1) into 1
12.013 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.013 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.013 * [taylor]: Taking taylor expansion of z in y
12.013 * [backup-simplify]: Simplify z into z
12.013 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.013 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.015 * [backup-simplify]: Simplify (+ 0 0) into 0
12.015 * [backup-simplify]: Simplify (+ 1 0) into 1
12.016 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.016 * [taylor]: Taking taylor expansion of 0 in z
12.016 * [backup-simplify]: Simplify 0 into 0
12.016 * [taylor]: Taking taylor expansion of 0 in z
12.016 * [backup-simplify]: Simplify 0 into 0
12.016 * [taylor]: Taking taylor expansion of 0 in z
12.016 * [backup-simplify]: Simplify 0 into 0
12.016 * [backup-simplify]: Simplify 1 into 1
12.016 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.018 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.019 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.019 * [backup-simplify]: Simplify (+ 0 0) into 0
12.019 * [backup-simplify]: Simplify (+ 0 0) into 0
12.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.020 * [taylor]: Taking taylor expansion of 0 in y
12.020 * [backup-simplify]: Simplify 0 into 0
12.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.022 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.022 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
12.022 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
12.022 * [taylor]: Taking taylor expansion of 1/2 in z
12.023 * [backup-simplify]: Simplify 1/2 into 1/2
12.023 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.023 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.023 * [taylor]: Taking taylor expansion of z in z
12.023 * [backup-simplify]: Simplify 0 into 0
12.023 * [backup-simplify]: Simplify 1 into 1
12.023 * [backup-simplify]: Simplify (* 1 1) into 1
12.023 * [backup-simplify]: Simplify (/ 1 1) into 1
12.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.025 * [backup-simplify]: Simplify 0 into 0
12.026 * [taylor]: Taking taylor expansion of 0 in z
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [taylor]: Taking taylor expansion of 0 in z
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.029 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.029 * [backup-simplify]: Simplify (+ 0 0) into 0
12.030 * [backup-simplify]: Simplify (+ 0 0) into 0
12.031 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
12.031 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
12.031 * [taylor]: Taking taylor expansion of -1/2 in y
12.031 * [backup-simplify]: Simplify -1/2 into -1/2
12.031 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
12.031 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
12.031 * [taylor]: Taking taylor expansion of 1/2 in y
12.031 * [backup-simplify]: Simplify 1/2 into 1/2
12.031 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
12.031 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.031 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.031 * [taylor]: Taking taylor expansion of z in y
12.031 * [backup-simplify]: Simplify z into z
12.031 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.032 * [taylor]: Taking taylor expansion of y in y
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 1 into 1
12.032 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.032 * [backup-simplify]: Simplify (* 1 1) into 1
12.032 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.032 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.032 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
12.032 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.032 * [taylor]: Taking taylor expansion of 1/4 in y
12.032 * [backup-simplify]: Simplify 1/4 into 1/4
12.032 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.032 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.032 * [taylor]: Taking taylor expansion of y in y
12.032 * [backup-simplify]: Simplify 0 into 0
12.032 * [backup-simplify]: Simplify 1 into 1
12.033 * [backup-simplify]: Simplify (* 1 1) into 1
12.033 * [backup-simplify]: Simplify (* 1 1) into 1
12.033 * [backup-simplify]: Simplify (/ 1 1) into 1
12.033 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
12.033 * [taylor]: Taking taylor expansion of 1/4 in y
12.033 * [backup-simplify]: Simplify 1/4 into 1/4
12.033 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
12.034 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.034 * [taylor]: Taking taylor expansion of z in y
12.034 * [backup-simplify]: Simplify z into z
12.034 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.034 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.034 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
12.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.034 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.035 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.036 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
12.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.044 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.044 * [backup-simplify]: Simplify (+ 0 0) into 0
12.045 * [backup-simplify]: Simplify (+ 0 0) into 0
12.045 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
12.046 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.046 * [backup-simplify]: Simplify (+ 0 0) into 0
12.046 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
12.047 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.047 * [backup-simplify]: Simplify (+ 0 0) into 0
12.048 * [backup-simplify]: Simplify (+ 0 0) into 0
12.048 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.049 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
12.049 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.050 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.050 * [taylor]: Taking taylor expansion of 0 in z
12.050 * [backup-simplify]: Simplify 0 into 0
12.050 * [taylor]: Taking taylor expansion of 0 in z
12.050 * [backup-simplify]: Simplify 0 into 0
12.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.052 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.053 * [backup-simplify]: Simplify (+ 0 0) into 0
12.054 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
12.054 * [taylor]: Taking taylor expansion of 0 in z
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [taylor]: Taking taylor expansion of 0 in z
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [taylor]: Taking taylor expansion of 0 in z
12.054 * [backup-simplify]: Simplify 0 into 0
12.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.061 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.061 * [backup-simplify]: Simplify 0 into 0
12.061 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
12.062 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
12.062 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
12.062 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.062 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.062 * [taylor]: Taking taylor expansion of y in z
12.062 * [backup-simplify]: Simplify y into y
12.062 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.062 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.062 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.062 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.062 * [taylor]: Taking taylor expansion of x in z
12.062 * [backup-simplify]: Simplify x into x
12.062 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.062 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.062 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.063 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.063 * [taylor]: Taking taylor expansion of z in z
12.063 * [backup-simplify]: Simplify 0 into 0
12.063 * [backup-simplify]: Simplify 1 into 1
12.063 * [backup-simplify]: Simplify (* 1 1) into 1
12.063 * [backup-simplify]: Simplify (/ 1 1) into 1
12.064 * [backup-simplify]: Simplify (+ 0 1) into 1
12.064 * [backup-simplify]: Simplify (+ 0 1) into 1
12.064 * [backup-simplify]: Simplify (sqrt 1) into 1
12.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.066 * [backup-simplify]: Simplify (+ 0 0) into 0
12.066 * [backup-simplify]: Simplify (+ 0 0) into 0
12.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.067 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.067 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.067 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.067 * [taylor]: Taking taylor expansion of y in y
12.067 * [backup-simplify]: Simplify 0 into 0
12.067 * [backup-simplify]: Simplify 1 into 1
12.068 * [backup-simplify]: Simplify (* 1 1) into 1
12.068 * [backup-simplify]: Simplify (/ 1 1) into 1
12.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.068 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.068 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.068 * [taylor]: Taking taylor expansion of x in y
12.068 * [backup-simplify]: Simplify x into x
12.068 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.068 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.068 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.068 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.068 * [taylor]: Taking taylor expansion of z in y
12.068 * [backup-simplify]: Simplify z into z
12.068 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.068 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.069 * [backup-simplify]: Simplify (+ 1 0) into 1
12.069 * [backup-simplify]: Simplify (sqrt 1) into 1
12.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.071 * [backup-simplify]: Simplify (+ 0 0) into 0
12.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.072 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.072 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.072 * [taylor]: Taking taylor expansion of y in x
12.072 * [backup-simplify]: Simplify y into y
12.072 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.072 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.072 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.072 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.072 * [taylor]: Taking taylor expansion of x in x
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [backup-simplify]: Simplify 1 into 1
12.072 * [backup-simplify]: Simplify (* 1 1) into 1
12.073 * [backup-simplify]: Simplify (/ 1 1) into 1
12.073 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.073 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.073 * [taylor]: Taking taylor expansion of z in x
12.073 * [backup-simplify]: Simplify z into z
12.073 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.073 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.073 * [backup-simplify]: Simplify (+ 1 0) into 1
12.074 * [backup-simplify]: Simplify (+ 0 1) into 1
12.074 * [backup-simplify]: Simplify (sqrt 1) into 1
12.075 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.076 * [backup-simplify]: Simplify (+ 0 0) into 0
12.076 * [backup-simplify]: Simplify (+ 0 0) into 0
12.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.077 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.077 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.077 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.077 * [taylor]: Taking taylor expansion of y in x
12.077 * [backup-simplify]: Simplify y into y
12.077 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.077 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.077 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.077 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.077 * [taylor]: Taking taylor expansion of x in x
12.077 * [backup-simplify]: Simplify 0 into 0
12.077 * [backup-simplify]: Simplify 1 into 1
12.078 * [backup-simplify]: Simplify (* 1 1) into 1
12.078 * [backup-simplify]: Simplify (/ 1 1) into 1
12.078 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.078 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.078 * [taylor]: Taking taylor expansion of z in x
12.078 * [backup-simplify]: Simplify z into z
12.078 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.078 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.079 * [backup-simplify]: Simplify (+ 1 0) into 1
12.079 * [backup-simplify]: Simplify (+ 0 1) into 1
12.079 * [backup-simplify]: Simplify (sqrt 1) into 1
12.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.081 * [backup-simplify]: Simplify (+ 0 0) into 0
12.081 * [backup-simplify]: Simplify (+ 0 0) into 0
12.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.082 * [taylor]: Taking taylor expansion of 1 in y
12.082 * [backup-simplify]: Simplify 1 into 1
12.082 * [taylor]: Taking taylor expansion of 0 in y
12.082 * [backup-simplify]: Simplify 0 into 0
12.082 * [taylor]: Taking taylor expansion of 1 in z
12.082 * [backup-simplify]: Simplify 1 into 1
12.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.084 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.084 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.085 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
12.085 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
12.085 * [taylor]: Taking taylor expansion of 1/2 in y
12.086 * [backup-simplify]: Simplify 1/2 into 1/2
12.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
12.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.086 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.086 * [taylor]: Taking taylor expansion of y in y
12.086 * [backup-simplify]: Simplify 0 into 0
12.086 * [backup-simplify]: Simplify 1 into 1
12.086 * [backup-simplify]: Simplify (* 1 1) into 1
12.086 * [backup-simplify]: Simplify (/ 1 1) into 1
12.086 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.086 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.086 * [taylor]: Taking taylor expansion of z in y
12.086 * [backup-simplify]: Simplify z into z
12.087 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.087 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.088 * [backup-simplify]: Simplify (+ 0 0) into 0
12.089 * [backup-simplify]: Simplify (+ 1 0) into 1
12.090 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.090 * [taylor]: Taking taylor expansion of 0 in z
12.090 * [backup-simplify]: Simplify 0 into 0
12.090 * [taylor]: Taking taylor expansion of 0 in z
12.090 * [backup-simplify]: Simplify 0 into 0
12.090 * [taylor]: Taking taylor expansion of 0 in z
12.090 * [backup-simplify]: Simplify 0 into 0
12.090 * [backup-simplify]: Simplify 1 into 1
12.090 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.091 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.092 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.093 * [backup-simplify]: Simplify (+ 0 0) into 0
12.093 * [backup-simplify]: Simplify (+ 0 0) into 0
12.094 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.094 * [taylor]: Taking taylor expansion of 0 in y
12.094 * [backup-simplify]: Simplify 0 into 0
12.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.095 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.096 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
12.096 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
12.096 * [taylor]: Taking taylor expansion of 1/2 in z
12.096 * [backup-simplify]: Simplify 1/2 into 1/2
12.096 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.096 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.096 * [taylor]: Taking taylor expansion of z in z
12.096 * [backup-simplify]: Simplify 0 into 0
12.096 * [backup-simplify]: Simplify 1 into 1
12.097 * [backup-simplify]: Simplify (* 1 1) into 1
12.097 * [backup-simplify]: Simplify (/ 1 1) into 1
12.098 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [taylor]: Taking taylor expansion of 0 in z
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [taylor]: Taking taylor expansion of 0 in z
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [backup-simplify]: Simplify 0 into 0
12.099 * [backup-simplify]: Simplify 0 into 0
12.100 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.100 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.101 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.102 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.103 * [backup-simplify]: Simplify (+ 0 0) into 0
12.103 * [backup-simplify]: Simplify (+ 0 0) into 0
12.105 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
12.105 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
12.105 * [taylor]: Taking taylor expansion of -1/2 in y
12.105 * [backup-simplify]: Simplify -1/2 into -1/2
12.105 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
12.105 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
12.105 * [taylor]: Taking taylor expansion of 1/2 in y
12.105 * [backup-simplify]: Simplify 1/2 into 1/2
12.105 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
12.105 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.105 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.105 * [taylor]: Taking taylor expansion of z in y
12.105 * [backup-simplify]: Simplify z into z
12.105 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.105 * [taylor]: Taking taylor expansion of y in y
12.105 * [backup-simplify]: Simplify 0 into 0
12.105 * [backup-simplify]: Simplify 1 into 1
12.105 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.106 * [backup-simplify]: Simplify (* 1 1) into 1
12.106 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.106 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.106 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
12.106 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.106 * [taylor]: Taking taylor expansion of 1/4 in y
12.106 * [backup-simplify]: Simplify 1/4 into 1/4
12.106 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.106 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.106 * [taylor]: Taking taylor expansion of y in y
12.106 * [backup-simplify]: Simplify 0 into 0
12.106 * [backup-simplify]: Simplify 1 into 1
12.106 * [backup-simplify]: Simplify (* 1 1) into 1
12.107 * [backup-simplify]: Simplify (* 1 1) into 1
12.107 * [backup-simplify]: Simplify (/ 1 1) into 1
12.107 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
12.107 * [taylor]: Taking taylor expansion of 1/4 in y
12.107 * [backup-simplify]: Simplify 1/4 into 1/4
12.107 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
12.107 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.107 * [taylor]: Taking taylor expansion of z in y
12.107 * [backup-simplify]: Simplify z into z
12.107 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.107 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.108 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
12.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.108 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.109 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.109 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.109 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
12.110 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.114 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.115 * [backup-simplify]: Simplify (+ 0 0) into 0
12.115 * [backup-simplify]: Simplify (+ 0 0) into 0
12.115 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
12.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.116 * [backup-simplify]: Simplify (+ 0 0) into 0
12.116 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
12.116 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.117 * [backup-simplify]: Simplify (+ 0 0) into 0
12.117 * [backup-simplify]: Simplify (+ 0 0) into 0
12.117 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.117 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
12.118 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.118 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.118 * [taylor]: Taking taylor expansion of 0 in z
12.118 * [backup-simplify]: Simplify 0 into 0
12.118 * [taylor]: Taking taylor expansion of 0 in z
12.118 * [backup-simplify]: Simplify 0 into 0
12.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.120 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.120 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.120 * [backup-simplify]: Simplify (+ 0 0) into 0
12.121 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
12.121 * [taylor]: Taking taylor expansion of 0 in z
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [taylor]: Taking taylor expansion of 0 in z
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [taylor]: Taking taylor expansion of 0 in z
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.122 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.122 * [backup-simplify]: Simplify 0 into 0
12.123 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
12.123 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1)
12.123 * [backup-simplify]: Simplify (sqrt (+ (* x x) (+ (* y y) (* z z)))) into (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2))))
12.123 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in (x y z) around 0
12.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
12.123 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
12.123 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.123 * [taylor]: Taking taylor expansion of y in z
12.123 * [backup-simplify]: Simplify y into y
12.123 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
12.123 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.123 * [taylor]: Taking taylor expansion of x in z
12.123 * [backup-simplify]: Simplify x into x
12.123 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.123 * [taylor]: Taking taylor expansion of z in z
12.123 * [backup-simplify]: Simplify 0 into 0
12.123 * [backup-simplify]: Simplify 1 into 1
12.123 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.123 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.123 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.123 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
12.123 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
12.123 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.123 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.124 * [backup-simplify]: Simplify (+ 0 0) into 0
12.124 * [backup-simplify]: Simplify (+ 0 0) into 0
12.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
12.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
12.124 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
12.124 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.124 * [taylor]: Taking taylor expansion of y in y
12.124 * [backup-simplify]: Simplify 0 into 0
12.124 * [backup-simplify]: Simplify 1 into 1
12.124 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
12.124 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.124 * [taylor]: Taking taylor expansion of x in y
12.124 * [backup-simplify]: Simplify x into x
12.124 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.124 * [taylor]: Taking taylor expansion of z in y
12.124 * [backup-simplify]: Simplify z into z
12.124 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.124 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.124 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.124 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
12.124 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
12.125 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.125 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.125 * [backup-simplify]: Simplify (+ 0 0) into 0
12.125 * [backup-simplify]: Simplify (+ 0 0) into 0
12.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
12.125 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.125 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.125 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.125 * [taylor]: Taking taylor expansion of y in x
12.125 * [backup-simplify]: Simplify y into y
12.125 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.125 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.125 * [taylor]: Taking taylor expansion of x in x
12.125 * [backup-simplify]: Simplify 0 into 0
12.125 * [backup-simplify]: Simplify 1 into 1
12.125 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.125 * [taylor]: Taking taylor expansion of z in x
12.125 * [backup-simplify]: Simplify z into z
12.125 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.125 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.126 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.126 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.126 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.126 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.126 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.126 * [backup-simplify]: Simplify (+ 0 0) into 0
12.126 * [backup-simplify]: Simplify (+ 0 0) into 0
12.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.126 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.126 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.126 * [taylor]: Taking taylor expansion of y in x
12.127 * [backup-simplify]: Simplify y into y
12.127 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.127 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.127 * [taylor]: Taking taylor expansion of x in x
12.127 * [backup-simplify]: Simplify 0 into 0
12.127 * [backup-simplify]: Simplify 1 into 1
12.127 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.127 * [taylor]: Taking taylor expansion of z in x
12.127 * [backup-simplify]: Simplify z into z
12.127 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.127 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.127 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.127 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.127 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.127 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.127 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.127 * [backup-simplify]: Simplify (+ 0 0) into 0
12.127 * [backup-simplify]: Simplify (+ 0 0) into 0
12.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
12.128 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.128 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.128 * [taylor]: Taking taylor expansion of y in y
12.128 * [backup-simplify]: Simplify 0 into 0
12.128 * [backup-simplify]: Simplify 1 into 1
12.128 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.128 * [taylor]: Taking taylor expansion of z in y
12.128 * [backup-simplify]: Simplify z into z
12.128 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.128 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.128 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
12.128 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.128 * [backup-simplify]: Simplify (+ 0 0) into 0
12.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
12.128 * [taylor]: Taking taylor expansion of z in z
12.128 * [backup-simplify]: Simplify 0 into 0
12.128 * [backup-simplify]: Simplify 1 into 1
12.128 * [backup-simplify]: Simplify 0 into 0
12.128 * [taylor]: Taking taylor expansion of 0 in y
12.128 * [backup-simplify]: Simplify 0 into 0
12.128 * [taylor]: Taking taylor expansion of 0 in z
12.128 * [backup-simplify]: Simplify 0 into 0
12.128 * [backup-simplify]: Simplify 0 into 0
12.128 * [taylor]: Taking taylor expansion of 0 in z
12.128 * [backup-simplify]: Simplify 0 into 0
12.129 * [backup-simplify]: Simplify 0 into 0
12.129 * [backup-simplify]: Simplify 1 into 1
12.129 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.129 * [backup-simplify]: Simplify (* 1 1) into 1
12.129 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.130 * [backup-simplify]: Simplify (+ 1 0) into 1
12.130 * [backup-simplify]: Simplify (+ 0 1) into 1
12.130 * [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)))))
12.130 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) in y
12.130 * [taylor]: Taking taylor expansion of 1/2 in y
12.130 * [backup-simplify]: Simplify 1/2 into 1/2
12.130 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
12.131 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
12.131 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.131 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.131 * [taylor]: Taking taylor expansion of y in y
12.131 * [backup-simplify]: Simplify 0 into 0
12.131 * [backup-simplify]: Simplify 1 into 1
12.131 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.131 * [taylor]: Taking taylor expansion of z in y
12.131 * [backup-simplify]: Simplify z into z
12.131 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.131 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.131 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.131 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
12.131 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.131 * [backup-simplify]: Simplify (+ 0 0) into 0
12.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
12.131 * [backup-simplify]: Simplify (* 1/2 (/ 1 z)) into (/ 1/2 z)
12.131 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
12.131 * [taylor]: Taking taylor expansion of 1/2 in z
12.131 * [backup-simplify]: Simplify 1/2 into 1/2
12.131 * [taylor]: Taking taylor expansion of z in z
12.131 * [backup-simplify]: Simplify 0 into 0
12.131 * [backup-simplify]: Simplify 1 into 1
12.132 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.132 * [backup-simplify]: Simplify 0 into 0
12.132 * [taylor]: Taking taylor expansion of 0 in z
12.132 * [backup-simplify]: Simplify 0 into 0
12.132 * [backup-simplify]: Simplify 0 into 0
12.133 * [backup-simplify]: Simplify (* 1 1) into 1
12.133 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.133 * [backup-simplify]: Simplify (+ 1 0) into 1
12.134 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
12.134 * [taylor]: Taking taylor expansion of (/ 1/2 z) in z
12.134 * [taylor]: Taking taylor expansion of 1/2 in z
12.134 * [backup-simplify]: Simplify 1/2 into 1/2
12.134 * [taylor]: Taking taylor expansion of z in z
12.134 * [backup-simplify]: Simplify 0 into 0
12.134 * [backup-simplify]: Simplify 1 into 1
12.134 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
12.134 * [backup-simplify]: Simplify 0 into 0
12.134 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify (* 1 (* z (* 1 1))) into z
12.135 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
12.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
12.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.135 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.135 * [taylor]: Taking taylor expansion of y in z
12.135 * [backup-simplify]: Simplify y into y
12.135 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.135 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.135 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.135 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.135 * [taylor]: Taking taylor expansion of x in z
12.135 * [backup-simplify]: Simplify x into x
12.135 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.135 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.135 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.135 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.135 * [taylor]: Taking taylor expansion of z in z
12.135 * [backup-simplify]: Simplify 0 into 0
12.135 * [backup-simplify]: Simplify 1 into 1
12.136 * [backup-simplify]: Simplify (* 1 1) into 1
12.136 * [backup-simplify]: Simplify (/ 1 1) into 1
12.136 * [backup-simplify]: Simplify (+ 0 1) into 1
12.136 * [backup-simplify]: Simplify (+ 0 1) into 1
12.137 * [backup-simplify]: Simplify (sqrt 1) into 1
12.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.138 * [backup-simplify]: Simplify (+ 0 0) into 0
12.138 * [backup-simplify]: Simplify (+ 0 0) into 0
12.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.139 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.139 * [taylor]: Taking taylor expansion of y in y
12.139 * [backup-simplify]: Simplify 0 into 0
12.139 * [backup-simplify]: Simplify 1 into 1
12.139 * [backup-simplify]: Simplify (* 1 1) into 1
12.139 * [backup-simplify]: Simplify (/ 1 1) into 1
12.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.139 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.139 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.139 * [taylor]: Taking taylor expansion of x in y
12.139 * [backup-simplify]: Simplify x into x
12.139 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.139 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.139 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.139 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.139 * [taylor]: Taking taylor expansion of z in y
12.139 * [backup-simplify]: Simplify z into z
12.139 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.140 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.140 * [backup-simplify]: Simplify (+ 1 0) into 1
12.140 * [backup-simplify]: Simplify (sqrt 1) into 1
12.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.141 * [backup-simplify]: Simplify (+ 0 0) into 0
12.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.142 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.142 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.142 * [taylor]: Taking taylor expansion of y in x
12.142 * [backup-simplify]: Simplify y into y
12.142 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.142 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.142 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.142 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.142 * [taylor]: Taking taylor expansion of x in x
12.142 * [backup-simplify]: Simplify 0 into 0
12.142 * [backup-simplify]: Simplify 1 into 1
12.142 * [backup-simplify]: Simplify (* 1 1) into 1
12.142 * [backup-simplify]: Simplify (/ 1 1) into 1
12.142 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.142 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.142 * [taylor]: Taking taylor expansion of z in x
12.142 * [backup-simplify]: Simplify z into z
12.142 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.142 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.143 * [backup-simplify]: Simplify (+ 1 0) into 1
12.143 * [backup-simplify]: Simplify (+ 0 1) into 1
12.143 * [backup-simplify]: Simplify (sqrt 1) into 1
12.144 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.144 * [backup-simplify]: Simplify (+ 0 0) into 0
12.144 * [backup-simplify]: Simplify (+ 0 0) into 0
12.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.145 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.145 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.145 * [taylor]: Taking taylor expansion of y in x
12.145 * [backup-simplify]: Simplify y into y
12.145 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.145 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.145 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.145 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.145 * [taylor]: Taking taylor expansion of x in x
12.145 * [backup-simplify]: Simplify 0 into 0
12.145 * [backup-simplify]: Simplify 1 into 1
12.145 * [backup-simplify]: Simplify (* 1 1) into 1
12.146 * [backup-simplify]: Simplify (/ 1 1) into 1
12.146 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.146 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.146 * [taylor]: Taking taylor expansion of z in x
12.146 * [backup-simplify]: Simplify z into z
12.146 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.146 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.146 * [backup-simplify]: Simplify (+ 1 0) into 1
12.146 * [backup-simplify]: Simplify (+ 0 1) into 1
12.147 * [backup-simplify]: Simplify (sqrt 1) into 1
12.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.148 * [backup-simplify]: Simplify (+ 0 0) into 0
12.148 * [backup-simplify]: Simplify (+ 0 0) into 0
12.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.148 * [taylor]: Taking taylor expansion of 1 in y
12.148 * [backup-simplify]: Simplify 1 into 1
12.148 * [taylor]: Taking taylor expansion of 0 in y
12.148 * [backup-simplify]: Simplify 0 into 0
12.148 * [taylor]: Taking taylor expansion of 1 in z
12.148 * [backup-simplify]: Simplify 1 into 1
12.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.150 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.150 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.151 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
12.151 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
12.151 * [taylor]: Taking taylor expansion of 1/2 in y
12.151 * [backup-simplify]: Simplify 1/2 into 1/2
12.151 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
12.151 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.151 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.151 * [taylor]: Taking taylor expansion of y in y
12.151 * [backup-simplify]: Simplify 0 into 0
12.151 * [backup-simplify]: Simplify 1 into 1
12.151 * [backup-simplify]: Simplify (* 1 1) into 1
12.151 * [backup-simplify]: Simplify (/ 1 1) into 1
12.151 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.151 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.151 * [taylor]: Taking taylor expansion of z in y
12.151 * [backup-simplify]: Simplify z into z
12.151 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.151 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.152 * [backup-simplify]: Simplify (+ 0 0) into 0
12.153 * [backup-simplify]: Simplify (+ 1 0) into 1
12.153 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.153 * [taylor]: Taking taylor expansion of 0 in z
12.153 * [backup-simplify]: Simplify 0 into 0
12.153 * [taylor]: Taking taylor expansion of 0 in z
12.153 * [backup-simplify]: Simplify 0 into 0
12.153 * [taylor]: Taking taylor expansion of 0 in z
12.153 * [backup-simplify]: Simplify 0 into 0
12.153 * [backup-simplify]: Simplify 1 into 1
12.153 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.155 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.155 * [backup-simplify]: Simplify (+ 0 0) into 0
12.155 * [backup-simplify]: Simplify (+ 0 0) into 0
12.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.156 * [taylor]: Taking taylor expansion of 0 in y
12.156 * [backup-simplify]: Simplify 0 into 0
12.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.157 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.157 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
12.157 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
12.157 * [taylor]: Taking taylor expansion of 1/2 in z
12.157 * [backup-simplify]: Simplify 1/2 into 1/2
12.157 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.157 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.157 * [taylor]: Taking taylor expansion of z in z
12.157 * [backup-simplify]: Simplify 0 into 0
12.157 * [backup-simplify]: Simplify 1 into 1
12.158 * [backup-simplify]: Simplify (* 1 1) into 1
12.158 * [backup-simplify]: Simplify (/ 1 1) into 1
12.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.159 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.159 * [backup-simplify]: Simplify 0 into 0
12.159 * [taylor]: Taking taylor expansion of 0 in z
12.159 * [backup-simplify]: Simplify 0 into 0
12.159 * [taylor]: Taking taylor expansion of 0 in z
12.159 * [backup-simplify]: Simplify 0 into 0
12.159 * [backup-simplify]: Simplify 0 into 0
12.159 * [backup-simplify]: Simplify 0 into 0
12.159 * [backup-simplify]: Simplify 0 into 0
12.159 * [backup-simplify]: Simplify 0 into 0
12.160 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.161 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.162 * [backup-simplify]: Simplify (+ 0 0) into 0
12.162 * [backup-simplify]: Simplify (+ 0 0) into 0
12.163 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
12.163 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
12.163 * [taylor]: Taking taylor expansion of -1/2 in y
12.163 * [backup-simplify]: Simplify -1/2 into -1/2
12.163 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
12.163 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
12.163 * [taylor]: Taking taylor expansion of 1/2 in y
12.163 * [backup-simplify]: Simplify 1/2 into 1/2
12.163 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
12.163 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.163 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.163 * [taylor]: Taking taylor expansion of z in y
12.163 * [backup-simplify]: Simplify z into z
12.163 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.163 * [taylor]: Taking taylor expansion of y in y
12.163 * [backup-simplify]: Simplify 0 into 0
12.163 * [backup-simplify]: Simplify 1 into 1
12.163 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.163 * [backup-simplify]: Simplify (* 1 1) into 1
12.163 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.163 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.163 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
12.163 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.164 * [taylor]: Taking taylor expansion of 1/4 in y
12.164 * [backup-simplify]: Simplify 1/4 into 1/4
12.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.164 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.164 * [taylor]: Taking taylor expansion of y in y
12.164 * [backup-simplify]: Simplify 0 into 0
12.164 * [backup-simplify]: Simplify 1 into 1
12.167 * [backup-simplify]: Simplify (* 1 1) into 1
12.168 * [backup-simplify]: Simplify (* 1 1) into 1
12.168 * [backup-simplify]: Simplify (/ 1 1) into 1
12.168 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
12.168 * [taylor]: Taking taylor expansion of 1/4 in y
12.168 * [backup-simplify]: Simplify 1/4 into 1/4
12.168 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
12.168 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.168 * [taylor]: Taking taylor expansion of z in y
12.168 * [backup-simplify]: Simplify z into z
12.168 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.168 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.168 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
12.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.169 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.169 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.169 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
12.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.172 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.176 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.176 * [backup-simplify]: Simplify (+ 0 0) into 0
12.177 * [backup-simplify]: Simplify (+ 0 0) into 0
12.177 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
12.178 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.178 * [backup-simplify]: Simplify (+ 0 0) into 0
12.178 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
12.179 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.179 * [backup-simplify]: Simplify (+ 0 0) into 0
12.180 * [backup-simplify]: Simplify (+ 0 0) into 0
12.180 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.181 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
12.181 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.182 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.182 * [taylor]: Taking taylor expansion of 0 in z
12.182 * [backup-simplify]: Simplify 0 into 0
12.182 * [taylor]: Taking taylor expansion of 0 in z
12.182 * [backup-simplify]: Simplify 0 into 0
12.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.184 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.185 * [backup-simplify]: Simplify (+ 0 0) into 0
12.186 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
12.186 * [taylor]: Taking taylor expansion of 0 in z
12.186 * [backup-simplify]: Simplify 0 into 0
12.186 * [taylor]: Taking taylor expansion of 0 in z
12.186 * [backup-simplify]: Simplify 0 into 0
12.186 * [taylor]: Taking taylor expansion of 0 in z
12.186 * [backup-simplify]: Simplify 0 into 0
12.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.189 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.189 * [backup-simplify]: Simplify 0 into 0
12.189 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 x))))) into x
12.190 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))))) into (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))
12.190 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in (x y z) around 0
12.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.190 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.190 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.190 * [taylor]: Taking taylor expansion of y in z
12.190 * [backup-simplify]: Simplify y into y
12.190 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.190 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.190 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.190 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.190 * [taylor]: Taking taylor expansion of x in z
12.190 * [backup-simplify]: Simplify x into x
12.190 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.191 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.191 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.191 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.191 * [taylor]: Taking taylor expansion of z in z
12.191 * [backup-simplify]: Simplify 0 into 0
12.191 * [backup-simplify]: Simplify 1 into 1
12.191 * [backup-simplify]: Simplify (* 1 1) into 1
12.191 * [backup-simplify]: Simplify (/ 1 1) into 1
12.192 * [backup-simplify]: Simplify (+ 0 1) into 1
12.192 * [backup-simplify]: Simplify (+ 0 1) into 1
12.193 * [backup-simplify]: Simplify (sqrt 1) into 1
12.193 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.194 * [backup-simplify]: Simplify (+ 0 0) into 0
12.195 * [backup-simplify]: Simplify (+ 0 0) into 0
12.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.196 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.196 * [taylor]: Taking taylor expansion of y in y
12.196 * [backup-simplify]: Simplify 0 into 0
12.196 * [backup-simplify]: Simplify 1 into 1
12.196 * [backup-simplify]: Simplify (* 1 1) into 1
12.196 * [backup-simplify]: Simplify (/ 1 1) into 1
12.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.196 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.196 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.197 * [taylor]: Taking taylor expansion of x in y
12.197 * [backup-simplify]: Simplify x into x
12.197 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.197 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.197 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.197 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.197 * [taylor]: Taking taylor expansion of z in y
12.197 * [backup-simplify]: Simplify z into z
12.197 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.197 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.197 * [backup-simplify]: Simplify (+ 1 0) into 1
12.198 * [backup-simplify]: Simplify (sqrt 1) into 1
12.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.199 * [backup-simplify]: Simplify (+ 0 0) into 0
12.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.200 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.200 * [taylor]: Taking taylor expansion of y in x
12.200 * [backup-simplify]: Simplify y into y
12.200 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.201 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.201 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.201 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.201 * [taylor]: Taking taylor expansion of x in x
12.201 * [backup-simplify]: Simplify 0 into 0
12.201 * [backup-simplify]: Simplify 1 into 1
12.201 * [backup-simplify]: Simplify (* 1 1) into 1
12.201 * [backup-simplify]: Simplify (/ 1 1) into 1
12.201 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.201 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.202 * [taylor]: Taking taylor expansion of z in x
12.202 * [backup-simplify]: Simplify z into z
12.202 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.202 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.202 * [backup-simplify]: Simplify (+ 1 0) into 1
12.203 * [backup-simplify]: Simplify (+ 0 1) into 1
12.203 * [backup-simplify]: Simplify (sqrt 1) into 1
12.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.205 * [backup-simplify]: Simplify (+ 0 0) into 0
12.205 * [backup-simplify]: Simplify (+ 0 0) into 0
12.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.206 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.206 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.206 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.206 * [taylor]: Taking taylor expansion of y in x
12.206 * [backup-simplify]: Simplify y into y
12.206 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.206 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.206 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.206 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.206 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.206 * [taylor]: Taking taylor expansion of x in x
12.206 * [backup-simplify]: Simplify 0 into 0
12.206 * [backup-simplify]: Simplify 1 into 1
12.206 * [backup-simplify]: Simplify (* 1 1) into 1
12.207 * [backup-simplify]: Simplify (/ 1 1) into 1
12.207 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.207 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.207 * [taylor]: Taking taylor expansion of z in x
12.207 * [backup-simplify]: Simplify z into z
12.207 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.207 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.208 * [backup-simplify]: Simplify (+ 1 0) into 1
12.208 * [backup-simplify]: Simplify (+ 0 1) into 1
12.208 * [backup-simplify]: Simplify (sqrt 1) into 1
12.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.210 * [backup-simplify]: Simplify (+ 0 0) into 0
12.210 * [backup-simplify]: Simplify (+ 0 0) into 0
12.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.211 * [taylor]: Taking taylor expansion of 1 in y
12.211 * [backup-simplify]: Simplify 1 into 1
12.211 * [taylor]: Taking taylor expansion of 0 in y
12.211 * [backup-simplify]: Simplify 0 into 0
12.211 * [taylor]: Taking taylor expansion of 1 in z
12.211 * [backup-simplify]: Simplify 1 into 1
12.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.213 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.213 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.215 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
12.215 * [taylor]: Taking taylor expansion of (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) in y
12.215 * [taylor]: Taking taylor expansion of 1/2 in y
12.215 * [backup-simplify]: Simplify 1/2 into 1/2
12.215 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) in y
12.215 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.215 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.215 * [taylor]: Taking taylor expansion of y in y
12.215 * [backup-simplify]: Simplify 0 into 0
12.215 * [backup-simplify]: Simplify 1 into 1
12.215 * [backup-simplify]: Simplify (* 1 1) into 1
12.215 * [backup-simplify]: Simplify (/ 1 1) into 1
12.216 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.216 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.216 * [taylor]: Taking taylor expansion of z in y
12.216 * [backup-simplify]: Simplify z into z
12.216 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.216 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.216 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.217 * [backup-simplify]: Simplify (+ 0 0) into 0
12.218 * [backup-simplify]: Simplify (+ 1 0) into 1
12.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.218 * [taylor]: Taking taylor expansion of 0 in z
12.218 * [backup-simplify]: Simplify 0 into 0
12.219 * [taylor]: Taking taylor expansion of 0 in z
12.219 * [backup-simplify]: Simplify 0 into 0
12.219 * [taylor]: Taking taylor expansion of 0 in z
12.219 * [backup-simplify]: Simplify 0 into 0
12.219 * [backup-simplify]: Simplify 1 into 1
12.219 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.221 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.221 * [backup-simplify]: Simplify (+ 0 0) into 0
12.222 * [backup-simplify]: Simplify (+ 0 0) into 0
12.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.222 * [taylor]: Taking taylor expansion of 0 in y
12.222 * [backup-simplify]: Simplify 0 into 0
12.223 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.224 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.225 * [backup-simplify]: Simplify (+ (* 1/2 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ 1 (pow z 2)))
12.225 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow z 2))) in z
12.225 * [taylor]: Taking taylor expansion of 1/2 in z
12.225 * [backup-simplify]: Simplify 1/2 into 1/2
12.225 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.225 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.225 * [taylor]: Taking taylor expansion of z in z
12.225 * [backup-simplify]: Simplify 0 into 0
12.225 * [backup-simplify]: Simplify 1 into 1
12.225 * [backup-simplify]: Simplify (* 1 1) into 1
12.226 * [backup-simplify]: Simplify (/ 1 1) into 1
12.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.228 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0
12.228 * [backup-simplify]: Simplify 0 into 0
12.228 * [taylor]: Taking taylor expansion of 0 in z
12.228 * [backup-simplify]: Simplify 0 into 0
12.228 * [taylor]: Taking taylor expansion of 0 in z
12.228 * [backup-simplify]: Simplify 0 into 0
12.228 * [backup-simplify]: Simplify 0 into 0
12.228 * [backup-simplify]: Simplify 0 into 0
12.228 * [backup-simplify]: Simplify 0 into 0
12.228 * [backup-simplify]: Simplify 0 into 0
12.229 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.230 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.231 * [backup-simplify]: Simplify (+ 0 0) into 0
12.231 * [backup-simplify]: Simplify (+ 0 0) into 0
12.232 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
12.232 * [taylor]: Taking taylor expansion of (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) in y
12.232 * [taylor]: Taking taylor expansion of -1/2 in y
12.232 * [backup-simplify]: Simplify -1/2 into -1/2
12.232 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))) in y
12.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) in y
12.232 * [taylor]: Taking taylor expansion of 1/2 in y
12.232 * [backup-simplify]: Simplify 1/2 into 1/2
12.232 * [taylor]: Taking taylor expansion of (/ 1 (* (pow z 2) (pow y 2))) in y
12.232 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.232 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.232 * [taylor]: Taking taylor expansion of z in y
12.232 * [backup-simplify]: Simplify z into z
12.232 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.232 * [taylor]: Taking taylor expansion of y in y
12.232 * [backup-simplify]: Simplify 0 into 0
12.232 * [backup-simplify]: Simplify 1 into 1
12.232 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.232 * [backup-simplify]: Simplify (* 1 1) into 1
12.232 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.232 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.232 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))) in y
12.232 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow y 4))) in y
12.232 * [taylor]: Taking taylor expansion of 1/4 in y
12.233 * [backup-simplify]: Simplify 1/4 into 1/4
12.233 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y
12.233 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.233 * [taylor]: Taking taylor expansion of y in y
12.233 * [backup-simplify]: Simplify 0 into 0
12.233 * [backup-simplify]: Simplify 1 into 1
12.233 * [backup-simplify]: Simplify (* 1 1) into 1
12.233 * [backup-simplify]: Simplify (* 1 1) into 1
12.233 * [backup-simplify]: Simplify (/ 1 1) into 1
12.233 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (pow z 4))) in y
12.233 * [taylor]: Taking taylor expansion of 1/4 in y
12.233 * [backup-simplify]: Simplify 1/4 into 1/4
12.233 * [taylor]: Taking taylor expansion of (/ 1 (pow z 4)) in y
12.233 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.233 * [taylor]: Taking taylor expansion of z in y
12.233 * [backup-simplify]: Simplify z into z
12.233 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.233 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.234 * [backup-simplify]: Simplify (/ 1 (pow z 4)) into (/ 1 (pow z 4))
12.234 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.234 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.234 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (pow z 2)))) into 0
12.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.237 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.240 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.243 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.243 * [backup-simplify]: Simplify (+ 0 0) into 0
12.244 * [backup-simplify]: Simplify (+ 0 0) into 0
12.244 * [backup-simplify]: Simplify (* 1/2 (/ 1 (pow z 2))) into (/ 1/2 (pow z 2))
12.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 1))) into 0
12.245 * [backup-simplify]: Simplify (+ 0 0) into 0
12.245 * [backup-simplify]: Simplify (+ (/ 1/2 (pow z 2)) 0) into (* 1/2 (/ 1 (pow z 2)))
12.246 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 1)) into 0
12.246 * [backup-simplify]: Simplify (+ 0 0) into 0
12.246 * [backup-simplify]: Simplify (+ 0 0) into 0
12.247 * [backup-simplify]: Simplify (* 1/4 1) into 1/4
12.247 * [backup-simplify]: Simplify (+ 1/4 0) into 1/4
12.248 * [backup-simplify]: Simplify (+ 0 1/4) into 1/4
12.249 * [backup-simplify]: Simplify (+ (* -1/2 0) (+ (* 0 (* 1/2 (/ 1 (pow z 2)))) (+ (* 0 0) (* 0 1/4)))) into 0
12.249 * [taylor]: Taking taylor expansion of 0 in z
12.249 * [backup-simplify]: Simplify 0 into 0
12.249 * [taylor]: Taking taylor expansion of 0 in z
12.249 * [backup-simplify]: Simplify 0 into 0
12.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.251 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.251 * [backup-simplify]: Simplify (+ 0 0) into 0
12.252 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 1)))) into 0
12.252 * [taylor]: Taking taylor expansion of 0 in z
12.252 * [backup-simplify]: Simplify 0 into 0
12.253 * [taylor]: Taking taylor expansion of 0 in z
12.253 * [backup-simplify]: Simplify 0 into 0
12.253 * [taylor]: Taking taylor expansion of 0 in z
12.253 * [backup-simplify]: Simplify 0 into 0
12.253 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.255 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0
12.255 * [backup-simplify]: Simplify 0 into 0
12.255 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 x)
12.255 * * * * [progress]: [ 3 / 4 ] generating series at (2)
12.256 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) into (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333))
12.256 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in (x y z) around 0
12.256 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in z
12.256 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
12.256 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
12.256 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.256 * [taylor]: Taking taylor expansion of y in z
12.256 * [backup-simplify]: Simplify y into y
12.256 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
12.256 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.256 * [taylor]: Taking taylor expansion of x in z
12.256 * [backup-simplify]: Simplify x into x
12.256 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.256 * [taylor]: Taking taylor expansion of z in z
12.256 * [backup-simplify]: Simplify 0 into 0
12.256 * [backup-simplify]: Simplify 1 into 1
12.257 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.257 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.257 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.257 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
12.257 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow x 2))) into (sqrt (+ (pow y 2) (pow x 2)))
12.257 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.257 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.257 * [backup-simplify]: Simplify (+ 0 0) into 0
12.258 * [backup-simplify]: Simplify (+ 0 0) into 0
12.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow x 2))))) into 0
12.258 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.258 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.258 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.258 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.259 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
12.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
12.259 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
12.259 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.259 * [taylor]: Taking taylor expansion of y in y
12.259 * [backup-simplify]: Simplify 0 into 0
12.259 * [backup-simplify]: Simplify 1 into 1
12.259 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
12.259 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.259 * [taylor]: Taking taylor expansion of x in y
12.259 * [backup-simplify]: Simplify x into x
12.259 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.259 * [taylor]: Taking taylor expansion of z in y
12.259 * [backup-simplify]: Simplify z into z
12.259 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.260 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.260 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.260 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
12.260 * [backup-simplify]: Simplify (sqrt (+ (pow z 2) (pow x 2))) into (sqrt (+ (pow x 2) (pow z 2)))
12.260 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0
12.260 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.260 * [backup-simplify]: Simplify (+ 0 0) into 0
12.260 * [backup-simplify]: Simplify (+ 0 0) into 0
12.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow z 2) (pow x 2))))) into 0
12.260 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.261 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.261 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.261 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.261 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
12.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.261 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.261 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.261 * [taylor]: Taking taylor expansion of y in x
12.261 * [backup-simplify]: Simplify y into y
12.261 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.261 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.261 * [taylor]: Taking taylor expansion of x in x
12.261 * [backup-simplify]: Simplify 0 into 0
12.261 * [backup-simplify]: Simplify 1 into 1
12.261 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.261 * [taylor]: Taking taylor expansion of z in x
12.261 * [backup-simplify]: Simplify z into z
12.261 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.262 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.262 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.262 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.262 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.262 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.262 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.262 * [backup-simplify]: Simplify (+ 0 0) into 0
12.262 * [backup-simplify]: Simplify (+ 0 0) into 0
12.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.262 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.262 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.262 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.263 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.263 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) (sqrt 0.3333333333333333)) in x
12.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.263 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.263 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.263 * [taylor]: Taking taylor expansion of y in x
12.263 * [backup-simplify]: Simplify y into y
12.263 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.263 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.263 * [taylor]: Taking taylor expansion of x in x
12.263 * [backup-simplify]: Simplify 0 into 0
12.263 * [backup-simplify]: Simplify 1 into 1
12.263 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.263 * [taylor]: Taking taylor expansion of z in x
12.263 * [backup-simplify]: Simplify z into z
12.263 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.263 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.264 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.264 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.264 * [backup-simplify]: Simplify (sqrt (+ (pow y 2) (pow z 2))) into (sqrt (+ (pow y 2) (pow z 2)))
12.264 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.264 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.264 * [backup-simplify]: Simplify (+ 0 0) into 0
12.264 * [backup-simplify]: Simplify (+ 0 0) into 0
12.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y 2) (pow z 2))))) into 0
12.264 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.264 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.264 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.265 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.265 * [backup-simplify]: Simplify (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) into (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333))
12.266 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y 2) (pow z 2))) (sqrt 0.3333333333333333)) in y
12.266 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y 2) (pow z 2))) in y
12.266 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.266 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.266 * [taylor]: Taking taylor expansion of y in y
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [backup-simplify]: Simplify 1 into 1
12.266 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.266 * [taylor]: Taking taylor expansion of z in y
12.266 * [backup-simplify]: Simplify z into z
12.266 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.266 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.266 * [backup-simplify]: Simplify (sqrt (pow z 2)) into z
12.266 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.266 * [backup-simplify]: Simplify (+ 0 0) into 0
12.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow z 2)))) into 0
12.266 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.266 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.266 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.266 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.267 * [backup-simplify]: Simplify (* z (sqrt 0.3333333333333333)) into (* z (sqrt 0.3333333333333333))
12.267 * [taylor]: Taking taylor expansion of (* z (sqrt 0.3333333333333333)) in z
12.267 * [taylor]: Taking taylor expansion of z in z
12.267 * [backup-simplify]: Simplify 0 into 0
12.267 * [backup-simplify]: Simplify 1 into 1
12.267 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.267 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.267 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.268 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.268 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
12.268 * [backup-simplify]: Simplify 0 into 0
12.269 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.269 * [taylor]: Taking taylor expansion of 0 in y
12.269 * [backup-simplify]: Simplify 0 into 0
12.269 * [taylor]: Taking taylor expansion of 0 in z
12.269 * [backup-simplify]: Simplify 0 into 0
12.269 * [backup-simplify]: Simplify 0 into 0
12.269 * [backup-simplify]: Simplify (+ (* z 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.269 * [taylor]: Taking taylor expansion of 0 in z
12.269 * [backup-simplify]: Simplify 0 into 0
12.269 * [backup-simplify]: Simplify 0 into 0
12.270 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt 0.3333333333333333))) into (sqrt 0.3333333333333333)
12.271 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.271 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.272 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.272 * [backup-simplify]: Simplify (* 1 1) into 1
12.272 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.272 * [backup-simplify]: Simplify (+ 1 0) into 1
12.273 * [backup-simplify]: Simplify (+ 0 1) into 1
12.273 * [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)))))
12.274 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y 2) (pow z 2))) 0) (+ (* 0 0) (* (* 1/2 (sqrt (/ 1 (+ (pow y 2) (pow z 2))))) (sqrt 0.3333333333333333)))) into (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)))
12.274 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333))) in y
12.274 * [taylor]: Taking taylor expansion of 1/2 in y
12.274 * [backup-simplify]: Simplify 1/2 into 1/2
12.274 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) (sqrt 0.3333333333333333)) in y
12.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y 2) (pow z 2)))) in y
12.274 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y 2) (pow z 2))) in y
12.274 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.274 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.274 * [taylor]: Taking taylor expansion of y in y
12.274 * [backup-simplify]: Simplify 0 into 0
12.274 * [backup-simplify]: Simplify 1 into 1
12.274 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.274 * [taylor]: Taking taylor expansion of z in y
12.274 * [backup-simplify]: Simplify z into z
12.274 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.274 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.274 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.274 * [backup-simplify]: Simplify (sqrt (/ 1 (pow z 2))) into (/ 1 z)
12.274 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.275 * [backup-simplify]: Simplify (+ 0 0) into 0
12.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow z 2))))) into 0
12.275 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.275 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.275 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.275 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.276 * [backup-simplify]: Simplify (* (/ 1 z) (sqrt 0.3333333333333333)) into (/ (sqrt 0.3333333333333333) z)
12.276 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) z)) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
12.276 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
12.276 * [taylor]: Taking taylor expansion of 1/2 in z
12.276 * [backup-simplify]: Simplify 1/2 into 1/2
12.276 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
12.276 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.276 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.276 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.277 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.277 * [taylor]: Taking taylor expansion of z in z
12.277 * [backup-simplify]: Simplify 0 into 0
12.277 * [backup-simplify]: Simplify 1 into 1
12.278 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.279 * [backup-simplify]: Simplify 0 into 0
12.279 * [taylor]: Taking taylor expansion of 0 in z
12.279 * [backup-simplify]: Simplify 0 into 0
12.279 * [backup-simplify]: Simplify 0 into 0
12.279 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.280 * [backup-simplify]: Simplify (* 1 1) into 1
12.280 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.280 * [backup-simplify]: Simplify (+ 1 0) into 1
12.281 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 z)) into (/ 1/2 z)
12.281 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* (/ 1/2 z) (sqrt 0.3333333333333333)))) into (* 1/2 (/ (sqrt 0.3333333333333333) z))
12.281 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) z)) in z
12.281 * [taylor]: Taking taylor expansion of 1/2 in z
12.281 * [backup-simplify]: Simplify 1/2 into 1/2
12.281 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) z) in z
12.281 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.281 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.281 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.282 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.282 * [taylor]: Taking taylor expansion of z in z
12.282 * [backup-simplify]: Simplify 0 into 0
12.282 * [backup-simplify]: Simplify 1 into 1
12.286 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.287 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.287 * [backup-simplify]: Simplify 0 into 0
12.287 * [backup-simplify]: Simplify 0 into 0
12.287 * [backup-simplify]: Simplify 0 into 0
12.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.289 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.289 * [backup-simplify]: Simplify 0 into 0
12.290 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* z (* 1 1))) into (* z (sqrt 0.3333333333333333))
12.291 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z)))))) (sqrt (/ (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))))) 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
12.291 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
12.291 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
12.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.291 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.291 * [taylor]: Taking taylor expansion of y in z
12.291 * [backup-simplify]: Simplify y into y
12.291 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.291 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.291 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.291 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.291 * [taylor]: Taking taylor expansion of x in z
12.291 * [backup-simplify]: Simplify x into x
12.291 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.292 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.292 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.292 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.292 * [taylor]: Taking taylor expansion of z in z
12.292 * [backup-simplify]: Simplify 0 into 0
12.292 * [backup-simplify]: Simplify 1 into 1
12.292 * [backup-simplify]: Simplify (* 1 1) into 1
12.292 * [backup-simplify]: Simplify (/ 1 1) into 1
12.293 * [backup-simplify]: Simplify (+ 0 1) into 1
12.293 * [backup-simplify]: Simplify (+ 0 1) into 1
12.293 * [backup-simplify]: Simplify (sqrt 1) into 1
12.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.295 * [backup-simplify]: Simplify (+ 0 0) into 0
12.295 * [backup-simplify]: Simplify (+ 0 0) into 0
12.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.296 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.296 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.296 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.296 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.297 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
12.297 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.297 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.297 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.297 * [taylor]: Taking taylor expansion of y in y
12.297 * [backup-simplify]: Simplify 0 into 0
12.297 * [backup-simplify]: Simplify 1 into 1
12.298 * [backup-simplify]: Simplify (* 1 1) into 1
12.298 * [backup-simplify]: Simplify (/ 1 1) into 1
12.298 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.298 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.298 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.298 * [taylor]: Taking taylor expansion of x in y
12.298 * [backup-simplify]: Simplify x into x
12.298 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.298 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.298 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.298 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.298 * [taylor]: Taking taylor expansion of z in y
12.298 * [backup-simplify]: Simplify z into z
12.298 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.298 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.299 * [backup-simplify]: Simplify (+ 1 0) into 1
12.299 * [backup-simplify]: Simplify (sqrt 1) into 1
12.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.301 * [backup-simplify]: Simplify (+ 0 0) into 0
12.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.302 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.302 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.302 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.302 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.303 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
12.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.303 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.303 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.303 * [taylor]: Taking taylor expansion of y in x
12.303 * [backup-simplify]: Simplify y into y
12.303 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.303 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.303 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.303 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.303 * [taylor]: Taking taylor expansion of x in x
12.303 * [backup-simplify]: Simplify 0 into 0
12.303 * [backup-simplify]: Simplify 1 into 1
12.304 * [backup-simplify]: Simplify (* 1 1) into 1
12.304 * [backup-simplify]: Simplify (/ 1 1) into 1
12.304 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.304 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.304 * [taylor]: Taking taylor expansion of z in x
12.304 * [backup-simplify]: Simplify z into z
12.304 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.304 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.305 * [backup-simplify]: Simplify (+ 1 0) into 1
12.305 * [backup-simplify]: Simplify (+ 0 1) into 1
12.306 * [backup-simplify]: Simplify (sqrt 1) into 1
12.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.307 * [backup-simplify]: Simplify (+ 0 0) into 0
12.308 * [backup-simplify]: Simplify (+ 0 0) into 0
12.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.308 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.308 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.308 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.309 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.309 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.309 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
12.309 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.309 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.310 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.310 * [taylor]: Taking taylor expansion of y in x
12.310 * [backup-simplify]: Simplify y into y
12.310 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.310 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.310 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.310 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.310 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.310 * [taylor]: Taking taylor expansion of x in x
12.310 * [backup-simplify]: Simplify 0 into 0
12.310 * [backup-simplify]: Simplify 1 into 1
12.310 * [backup-simplify]: Simplify (* 1 1) into 1
12.311 * [backup-simplify]: Simplify (/ 1 1) into 1
12.311 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.311 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.311 * [taylor]: Taking taylor expansion of z in x
12.311 * [backup-simplify]: Simplify z into z
12.311 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.311 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.311 * [backup-simplify]: Simplify (+ 1 0) into 1
12.312 * [backup-simplify]: Simplify (+ 0 1) into 1
12.312 * [backup-simplify]: Simplify (sqrt 1) into 1
12.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.313 * [backup-simplify]: Simplify (+ 0 0) into 0
12.314 * [backup-simplify]: Simplify (+ 0 0) into 0
12.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.314 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.314 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.314 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.315 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.316 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
12.316 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.316 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.316 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.317 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.318 * [taylor]: Taking taylor expansion of 0 in y
12.318 * [backup-simplify]: Simplify 0 into 0
12.318 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.318 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.318 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.319 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.319 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.320 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.322 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.322 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.323 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
12.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
12.325 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
12.325 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
12.325 * [taylor]: Taking taylor expansion of 1/2 in y
12.325 * [backup-simplify]: Simplify 1/2 into 1/2
12.325 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
12.325 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.325 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.325 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.325 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.326 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.326 * [taylor]: Taking taylor expansion of z in y
12.326 * [backup-simplify]: Simplify z into z
12.326 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.327 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.327 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
12.327 * [taylor]: Taking taylor expansion of 1/2 in y
12.327 * [backup-simplify]: Simplify 1/2 into 1/2
12.327 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
12.327 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.327 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.327 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.327 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.328 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.328 * [taylor]: Taking taylor expansion of y in y
12.328 * [backup-simplify]: Simplify 0 into 0
12.328 * [backup-simplify]: Simplify 1 into 1
12.328 * [backup-simplify]: Simplify (* 1 1) into 1
12.329 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.331 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.332 * [backup-simplify]: Simplify (+ 0 0) into 0
12.332 * [taylor]: Taking taylor expansion of 0 in z
12.332 * [backup-simplify]: Simplify 0 into 0
12.332 * [taylor]: Taking taylor expansion of 0 in z
12.332 * [backup-simplify]: Simplify 0 into 0
12.332 * [taylor]: Taking taylor expansion of 0 in z
12.332 * [backup-simplify]: Simplify 0 into 0
12.332 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.333 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.333 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.335 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.336 * [backup-simplify]: Simplify (+ 0 0) into 0
12.336 * [backup-simplify]: Simplify (+ 0 0) into 0
12.337 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.338 * [taylor]: Taking taylor expansion of 0 in y
12.338 * [backup-simplify]: Simplify 0 into 0
12.339 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
12.340 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.341 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.342 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.343 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
12.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
12.343 * [taylor]: Taking taylor expansion of 1/2 in z
12.343 * [backup-simplify]: Simplify 1/2 into 1/2
12.343 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
12.343 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.343 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.343 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.344 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.344 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.344 * [taylor]: Taking taylor expansion of z in z
12.344 * [backup-simplify]: Simplify 0 into 0
12.344 * [backup-simplify]: Simplify 1 into 1
12.345 * [backup-simplify]: Simplify (* 1 1) into 1
12.345 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.347 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.348 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.348 * [backup-simplify]: Simplify 0 into 0
12.348 * [taylor]: Taking taylor expansion of 0 in z
12.348 * [backup-simplify]: Simplify 0 into 0
12.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.349 * [taylor]: Taking taylor expansion of 0 in z
12.349 * [backup-simplify]: Simplify 0 into 0
12.349 * [backup-simplify]: Simplify 0 into 0
12.349 * [backup-simplify]: Simplify 0 into 0
12.349 * [backup-simplify]: Simplify 0 into 0
12.349 * [backup-simplify]: Simplify 0 into 0
12.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.351 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.353 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.354 * [backup-simplify]: Simplify (+ 0 0) into 0
12.354 * [backup-simplify]: Simplify (+ 0 0) into 0
12.355 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
12.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
12.358 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
12.358 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
12.358 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
12.358 * [taylor]: Taking taylor expansion of 1/4 in y
12.358 * [backup-simplify]: Simplify 1/4 into 1/4
12.358 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
12.358 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.358 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.358 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.359 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.359 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.359 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.359 * [taylor]: Taking taylor expansion of z in y
12.359 * [backup-simplify]: Simplify z into z
12.359 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.359 * [taylor]: Taking taylor expansion of y in y
12.359 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify 1 into 1
12.360 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.360 * [backup-simplify]: Simplify (* 1 1) into 1
12.360 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.360 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.360 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
12.360 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
12.360 * [taylor]: Taking taylor expansion of 1/8 in y
12.360 * [backup-simplify]: Simplify 1/8 into 1/8
12.361 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
12.361 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.361 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.361 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.361 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.362 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.362 * [taylor]: Taking taylor expansion of y in y
12.362 * [backup-simplify]: Simplify 0 into 0
12.362 * [backup-simplify]: Simplify 1 into 1
12.362 * [backup-simplify]: Simplify (* 1 1) into 1
12.362 * [backup-simplify]: Simplify (* 1 1) into 1
12.363 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.363 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
12.363 * [taylor]: Taking taylor expansion of 1/8 in y
12.363 * [backup-simplify]: Simplify 1/8 into 1/8
12.363 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
12.363 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.363 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.363 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.363 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.364 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.364 * [taylor]: Taking taylor expansion of z in y
12.364 * [backup-simplify]: Simplify z into z
12.364 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.364 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.364 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
12.364 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.364 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.365 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.365 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
12.366 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
12.366 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.367 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.368 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.373 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.373 * [backup-simplify]: Simplify (+ 0 0) into 0
12.373 * [backup-simplify]: Simplify (+ 0 0) into 0
12.373 * [backup-simplify]: Simplify (- 0) into 0
12.373 * [taylor]: Taking taylor expansion of 0 in z
12.373 * [backup-simplify]: Simplify 0 into 0
12.373 * [taylor]: Taking taylor expansion of 0 in z
12.373 * [backup-simplify]: Simplify 0 into 0
12.374 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.374 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
12.374 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
12.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.377 * [backup-simplify]: Simplify (+ 0 0) into 0
12.377 * [taylor]: Taking taylor expansion of 0 in z
12.377 * [backup-simplify]: Simplify 0 into 0
12.378 * [taylor]: Taking taylor expansion of 0 in z
12.378 * [backup-simplify]: Simplify 0 into 0
12.378 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.378 * [taylor]: Taking taylor expansion of 0 in z
12.378 * [backup-simplify]: Simplify 0 into 0
12.379 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.379 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.381 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.381 * [backup-simplify]: Simplify 0 into 0
12.381 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 x))))) into (* x (sqrt 0.3333333333333333))
12.382 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z))))))) (sqrt (/ (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))))) 3.0))) into (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333))
12.382 * [approximate]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in (x y z) around 0
12.382 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in z
12.382 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.382 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.382 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.382 * [taylor]: Taking taylor expansion of y in z
12.382 * [backup-simplify]: Simplify y into y
12.382 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.382 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.382 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.382 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.382 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.382 * [taylor]: Taking taylor expansion of x in z
12.382 * [backup-simplify]: Simplify x into x
12.382 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.382 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.382 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.382 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.382 * [taylor]: Taking taylor expansion of z in z
12.382 * [backup-simplify]: Simplify 0 into 0
12.382 * [backup-simplify]: Simplify 1 into 1
12.382 * [backup-simplify]: Simplify (* 1 1) into 1
12.383 * [backup-simplify]: Simplify (/ 1 1) into 1
12.383 * [backup-simplify]: Simplify (+ 0 1) into 1
12.383 * [backup-simplify]: Simplify (+ 0 1) into 1
12.383 * [backup-simplify]: Simplify (sqrt 1) into 1
12.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.384 * [backup-simplify]: Simplify (+ 0 0) into 0
12.385 * [backup-simplify]: Simplify (+ 0 0) into 0
12.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.385 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.385 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.385 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.385 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.386 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in y
12.386 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.386 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.386 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.386 * [taylor]: Taking taylor expansion of y in y
12.386 * [backup-simplify]: Simplify 0 into 0
12.386 * [backup-simplify]: Simplify 1 into 1
12.386 * [backup-simplify]: Simplify (* 1 1) into 1
12.387 * [backup-simplify]: Simplify (/ 1 1) into 1
12.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.387 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.387 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.387 * [taylor]: Taking taylor expansion of x in y
12.387 * [backup-simplify]: Simplify x into x
12.387 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.387 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.387 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.387 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.387 * [taylor]: Taking taylor expansion of z in y
12.387 * [backup-simplify]: Simplify z into z
12.387 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.387 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.387 * [backup-simplify]: Simplify (+ 1 0) into 1
12.387 * [backup-simplify]: Simplify (sqrt 1) into 1
12.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.388 * [backup-simplify]: Simplify (+ 0 0) into 0
12.389 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.389 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.389 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.389 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.389 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.390 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
12.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.390 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.390 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.390 * [taylor]: Taking taylor expansion of y in x
12.390 * [backup-simplify]: Simplify y into y
12.390 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.390 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.390 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.390 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.390 * [taylor]: Taking taylor expansion of x in x
12.390 * [backup-simplify]: Simplify 0 into 0
12.390 * [backup-simplify]: Simplify 1 into 1
12.390 * [backup-simplify]: Simplify (* 1 1) into 1
12.391 * [backup-simplify]: Simplify (/ 1 1) into 1
12.391 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.391 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.391 * [taylor]: Taking taylor expansion of z in x
12.391 * [backup-simplify]: Simplify z into z
12.391 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.391 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.391 * [backup-simplify]: Simplify (+ 1 0) into 1
12.391 * [backup-simplify]: Simplify (+ 0 1) into 1
12.392 * [backup-simplify]: Simplify (sqrt 1) into 1
12.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.393 * [backup-simplify]: Simplify (+ 0 0) into 0
12.393 * [backup-simplify]: Simplify (+ 0 0) into 0
12.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.393 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.393 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.393 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.394 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.398 * [taylor]: Taking taylor expansion of (* (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)) in x
12.398 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.398 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.398 * [taylor]: Taking taylor expansion of y in x
12.398 * [backup-simplify]: Simplify y into y
12.398 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.398 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.398 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.398 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.398 * [taylor]: Taking taylor expansion of x in x
12.398 * [backup-simplify]: Simplify 0 into 0
12.398 * [backup-simplify]: Simplify 1 into 1
12.398 * [backup-simplify]: Simplify (* 1 1) into 1
12.399 * [backup-simplify]: Simplify (/ 1 1) into 1
12.399 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.399 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.399 * [taylor]: Taking taylor expansion of z in x
12.399 * [backup-simplify]: Simplify z into z
12.399 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.399 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.399 * [backup-simplify]: Simplify (+ 1 0) into 1
12.399 * [backup-simplify]: Simplify (+ 0 1) into 1
12.400 * [backup-simplify]: Simplify (sqrt 1) into 1
12.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.401 * [backup-simplify]: Simplify (+ 0 0) into 0
12.401 * [backup-simplify]: Simplify (+ 0 0) into 0
12.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.402 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.402 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.402 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.402 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.403 * [backup-simplify]: Simplify (* 1 (sqrt 0.3333333333333333)) into (sqrt 0.3333333333333333)
12.403 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.403 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.403 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.403 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.404 * [taylor]: Taking taylor expansion of 0 in y
12.404 * [backup-simplify]: Simplify 0 into 0
12.404 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.404 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.404 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.404 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.405 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.406 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.407 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.407 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.408 * [backup-simplify]: Simplify (/ (- (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) (pow 0 2) (+)) (* 2 1)) into (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))))
12.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) (sqrt 0.3333333333333333)))) into (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))))
12.409 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
12.409 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in y
12.409 * [taylor]: Taking taylor expansion of 1/2 in y
12.409 * [backup-simplify]: Simplify 1/2 into 1/2
12.409 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
12.409 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.409 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.409 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.409 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.409 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.409 * [taylor]: Taking taylor expansion of z in y
12.409 * [backup-simplify]: Simplify z into z
12.410 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.410 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow y 2))) in y
12.410 * [taylor]: Taking taylor expansion of 1/2 in y
12.410 * [backup-simplify]: Simplify 1/2 into 1/2
12.410 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
12.410 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.410 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.410 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.410 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.411 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.411 * [taylor]: Taking taylor expansion of y in y
12.411 * [backup-simplify]: Simplify 0 into 0
12.411 * [backup-simplify]: Simplify 1 into 1
12.411 * [backup-simplify]: Simplify (* 1 1) into 1
12.411 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.412 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.413 * [backup-simplify]: Simplify (+ 0 0) into 0
12.413 * [taylor]: Taking taylor expansion of 0 in z
12.413 * [backup-simplify]: Simplify 0 into 0
12.413 * [taylor]: Taking taylor expansion of 0 in z
12.413 * [backup-simplify]: Simplify 0 into 0
12.413 * [taylor]: Taking taylor expansion of 0 in z
12.413 * [backup-simplify]: Simplify 0 into 0
12.414 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.414 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.414 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0
12.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.416 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.416 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))))) into 0
12.416 * [backup-simplify]: Simplify (+ 0 0) into 0
12.416 * [backup-simplify]: Simplify (+ 0 0) into 0
12.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))))))) (* 2 1)) into 0
12.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.418 * [taylor]: Taking taylor expansion of 0 in y
12.418 * [backup-simplify]: Simplify 0 into 0
12.418 * [backup-simplify]: Simplify (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
12.419 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.420 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.420 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.421 * [backup-simplify]: Simplify (+ (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) 0) into (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2)))
12.421 * [taylor]: Taking taylor expansion of (* 1/2 (/ (sqrt 0.3333333333333333) (pow z 2))) in z
12.421 * [taylor]: Taking taylor expansion of 1/2 in z
12.421 * [backup-simplify]: Simplify 1/2 into 1/2
12.421 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
12.421 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.421 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.421 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.421 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.422 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.422 * [taylor]: Taking taylor expansion of z in z
12.422 * [backup-simplify]: Simplify 0 into 0
12.422 * [backup-simplify]: Simplify 1 into 1
12.422 * [backup-simplify]: Simplify (* 1 1) into 1
12.422 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.423 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.424 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.424 * [backup-simplify]: Simplify 0 into 0
12.424 * [taylor]: Taking taylor expansion of 0 in z
12.424 * [backup-simplify]: Simplify 0 into 0
12.425 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.425 * [taylor]: Taking taylor expansion of 0 in z
12.425 * [backup-simplify]: Simplify 0 into 0
12.425 * [backup-simplify]: Simplify 0 into 0
12.425 * [backup-simplify]: Simplify 0 into 0
12.425 * [backup-simplify]: Simplify 0 into 0
12.425 * [backup-simplify]: Simplify 0 into 0
12.426 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.426 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0
12.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
12.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.428 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow z 2)) (/ 0 (pow z 2))) (* 0 (/ 0 (pow z 2))))) into 0
12.428 * [backup-simplify]: Simplify (+ 0 0) into 0
12.428 * [backup-simplify]: Simplify (+ 0 0) into 0
12.429 * [backup-simplify]: Simplify (/ (- 0 (pow (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4))))))
12.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (* 1/2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 0) (+ (* 0 0) (* (* -1/2 (+ (* 1/2 (/ 1 (* (pow z 2) (pow y 2)))) (+ (* 1/4 (/ 1 (pow y 4))) (* 1/4 (/ 1 (pow z 4)))))) (sqrt 0.3333333333333333)))))) into (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))))
12.431 * [taylor]: Taking taylor expansion of (- (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))))) in y
12.431 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))))) in y
12.431 * [taylor]: Taking taylor expansion of (* 1/4 (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2)))) in y
12.431 * [taylor]: Taking taylor expansion of 1/4 in y
12.431 * [backup-simplify]: Simplify 1/4 into 1/4
12.431 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (* (pow z 2) (pow y 2))) in y
12.431 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.431 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.431 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.431 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.432 * [taylor]: Taking taylor expansion of (* (pow z 2) (pow y 2)) in y
12.432 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.432 * [taylor]: Taking taylor expansion of z in y
12.432 * [backup-simplify]: Simplify z into z
12.432 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.432 * [taylor]: Taking taylor expansion of y in y
12.432 * [backup-simplify]: Simplify 0 into 0
12.432 * [backup-simplify]: Simplify 1 into 1
12.432 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.432 * [backup-simplify]: Simplify (* 1 1) into 1
12.432 * [backup-simplify]: Simplify (* (pow z 2) 1) into (pow z 2)
12.432 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.433 * [taylor]: Taking taylor expansion of (+ (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4)))) in y
12.433 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow y 4))) in y
12.433 * [taylor]: Taking taylor expansion of 1/8 in y
12.433 * [backup-simplify]: Simplify 1/8 into 1/8
12.433 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 4)) in y
12.433 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.433 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.433 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.433 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.433 * [taylor]: Taking taylor expansion of (pow y 4) in y
12.433 * [taylor]: Taking taylor expansion of y in y
12.433 * [backup-simplify]: Simplify 0 into 0
12.433 * [backup-simplify]: Simplify 1 into 1
12.434 * [backup-simplify]: Simplify (* 1 1) into 1
12.434 * [backup-simplify]: Simplify (* 1 1) into 1
12.434 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.434 * [taylor]: Taking taylor expansion of (* 1/8 (/ (sqrt 0.3333333333333333) (pow z 4))) in y
12.434 * [taylor]: Taking taylor expansion of 1/8 in y
12.434 * [backup-simplify]: Simplify 1/8 into 1/8
12.434 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 4)) in y
12.434 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.435 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.435 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.435 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.435 * [taylor]: Taking taylor expansion of (pow z 4) in y
12.436 * [taylor]: Taking taylor expansion of z in y
12.436 * [backup-simplify]: Simplify z into z
12.436 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.436 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.436 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 4)) into (/ (sqrt 0.3333333333333333) (pow z 4))
12.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.437 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.437 * [backup-simplify]: Simplify (+ (* (pow z 2) 0) (* 0 1)) into 0
12.438 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
12.439 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
12.440 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.441 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.445 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.446 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.447 * [backup-simplify]: Simplify (+ 0 0) into 0
12.447 * [backup-simplify]: Simplify (+ 0 0) into 0
12.447 * [backup-simplify]: Simplify (- 0) into 0
12.447 * [taylor]: Taking taylor expansion of 0 in z
12.447 * [backup-simplify]: Simplify 0 into 0
12.447 * [taylor]: Taking taylor expansion of 0 in z
12.447 * [backup-simplify]: Simplify 0 into 0
12.447 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.448 * [backup-simplify]: Simplify (- (/ 0 (pow z 2)) (+ (* (/ (sqrt 0.3333333333333333) (pow z 2)) (/ 0 (pow z 2))))) into 0
12.448 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (sqrt 0.3333333333333333) (pow z 2)))) into 0
12.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.451 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333))))) into 0
12.451 * [backup-simplify]: Simplify (+ 0 0) into 0
12.451 * [taylor]: Taking taylor expansion of 0 in z
12.451 * [backup-simplify]: Simplify 0 into 0
12.451 * [taylor]: Taking taylor expansion of 0 in z
12.451 * [backup-simplify]: Simplify 0 into 0
12.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 0.3333333333333333))) into 0
12.452 * [taylor]: Taking taylor expansion of 0 in z
12.452 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.455 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.455 * [backup-simplify]: Simplify 0 into 0
12.455 * [backup-simplify]: Simplify (* (sqrt 0.3333333333333333) (* 1 (* 1 (/ 1 (/ 1 (- x)))))) into (* -1 (* x (sqrt 0.3333333333333333)))
12.455 * * * * [progress]: [ 4 / 4 ] generating series at (2 2)
12.455 * [backup-simplify]: Simplify (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) into (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333))
12.455 * [approximate]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in (x y z) around 0
12.455 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in z
12.455 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in z
12.455 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in z
12.455 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in z
12.455 * [taylor]: Taking taylor expansion of 1/4 in z
12.455 * [backup-simplify]: Simplify 1/4 into 1/4
12.455 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in z
12.455 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in z
12.456 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.456 * [taylor]: Taking taylor expansion of y in z
12.456 * [backup-simplify]: Simplify y into y
12.456 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in z
12.456 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.456 * [taylor]: Taking taylor expansion of x in z
12.456 * [backup-simplify]: Simplify x into x
12.456 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.456 * [taylor]: Taking taylor expansion of z in z
12.456 * [backup-simplify]: Simplify 0 into 0
12.456 * [backup-simplify]: Simplify 1 into 1
12.456 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.456 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.456 * [backup-simplify]: Simplify (+ (pow x 2) 0) into (pow x 2)
12.456 * [backup-simplify]: Simplify (+ (pow y 2) (pow x 2)) into (+ (pow y 2) (pow x 2))
12.456 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow x 2))) into (log (+ (pow y 2) (pow x 2)))
12.456 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow x 2)))) into (* 1/4 (log (+ (pow y 2) (pow x 2))))
12.456 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow x 2))))) into (pow (+ (pow y 2) (pow x 2)) 1/4)
12.456 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.456 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.456 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.456 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.457 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in y
12.457 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in y
12.457 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in y
12.457 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in y
12.457 * [taylor]: Taking taylor expansion of 1/4 in y
12.457 * [backup-simplify]: Simplify 1/4 into 1/4
12.457 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in y
12.457 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in y
12.457 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.457 * [taylor]: Taking taylor expansion of y in y
12.457 * [backup-simplify]: Simplify 0 into 0
12.457 * [backup-simplify]: Simplify 1 into 1
12.457 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in y
12.457 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.457 * [taylor]: Taking taylor expansion of x in y
12.457 * [backup-simplify]: Simplify x into x
12.457 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.457 * [taylor]: Taking taylor expansion of z in y
12.457 * [backup-simplify]: Simplify z into z
12.457 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.457 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.457 * [backup-simplify]: Simplify (+ (pow x 2) (pow z 2)) into (+ (pow x 2) (pow z 2))
12.458 * [backup-simplify]: Simplify (+ 0 (+ (pow x 2) (pow z 2))) into (+ (pow z 2) (pow x 2))
12.458 * [backup-simplify]: Simplify (log (+ (pow z 2) (pow x 2))) into (log (+ (pow x 2) (pow z 2)))
12.458 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow x 2) (pow z 2)))) into (* 1/4 (log (+ (pow x 2) (pow z 2))))
12.458 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow x 2) (pow z 2))))) into (pow (+ (pow x 2) (pow z 2)) 1/4)
12.458 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.458 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.458 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.459 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.459 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in x
12.459 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in x
12.459 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in x
12.459 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
12.459 * [taylor]: Taking taylor expansion of 1/4 in x
12.459 * [backup-simplify]: Simplify 1/4 into 1/4
12.459 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.459 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.459 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.459 * [taylor]: Taking taylor expansion of y in x
12.459 * [backup-simplify]: Simplify y into y
12.460 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.460 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.460 * [taylor]: Taking taylor expansion of x in x
12.460 * [backup-simplify]: Simplify 0 into 0
12.460 * [backup-simplify]: Simplify 1 into 1
12.460 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.460 * [taylor]: Taking taylor expansion of z in x
12.460 * [backup-simplify]: Simplify z into z
12.460 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.460 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.460 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.460 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.460 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
12.460 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2))))
12.460 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
12.460 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.460 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.461 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.461 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.462 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) (sqrt 0.3333333333333333)) in x
12.462 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (+ (pow x 2) (pow z 2))) 1/4) in x
12.462 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))))) in x
12.462 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (+ (pow x 2) (pow z 2))))) in x
12.462 * [taylor]: Taking taylor expansion of 1/4 in x
12.462 * [backup-simplify]: Simplify 1/4 into 1/4
12.462 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (+ (pow x 2) (pow z 2)))) in x
12.462 * [taylor]: Taking taylor expansion of (+ (pow y 2) (+ (pow x 2) (pow z 2))) in x
12.462 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.462 * [taylor]: Taking taylor expansion of y in x
12.462 * [backup-simplify]: Simplify y into y
12.462 * [taylor]: Taking taylor expansion of (+ (pow x 2) (pow z 2)) in x
12.462 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.462 * [taylor]: Taking taylor expansion of x in x
12.462 * [backup-simplify]: Simplify 0 into 0
12.462 * [backup-simplify]: Simplify 1 into 1
12.462 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.462 * [taylor]: Taking taylor expansion of z in x
12.462 * [backup-simplify]: Simplify z into z
12.462 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.462 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.462 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.462 * [backup-simplify]: Simplify (+ (pow y 2) (pow z 2)) into (+ (pow y 2) (pow z 2))
12.462 * [backup-simplify]: Simplify (log (+ (pow y 2) (pow z 2))) into (log (+ (pow y 2) (pow z 2)))
12.463 * [backup-simplify]: Simplify (* 1/4 (log (+ (pow y 2) (pow z 2)))) into (* 1/4 (log (+ (pow y 2) (pow z 2))))
12.463 * [backup-simplify]: Simplify (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) into (pow (+ (pow y 2) (pow z 2)) 1/4)
12.463 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.463 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.463 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.463 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.464 * [backup-simplify]: Simplify (* (pow (+ (pow y 2) (pow z 2)) 1/4) (sqrt 0.3333333333333333)) into (* (pow (+ (pow y 2) (pow z 2)) 1/4) (sqrt 0.3333333333333333))
12.464 * [taylor]: Taking taylor expansion of (* (pow (+ (pow y 2) (pow z 2)) 1/4) (sqrt 0.3333333333333333)) in y
12.464 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 1/4) in y
12.465 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) in y
12.465 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (pow y 2) (pow z 2)))) in y
12.465 * [taylor]: Taking taylor expansion of 1/4 in y
12.465 * [backup-simplify]: Simplify 1/4 into 1/4
12.465 * [taylor]: Taking taylor expansion of (log (+ (pow y 2) (pow z 2))) in y
12.465 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.465 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.465 * [taylor]: Taking taylor expansion of y in y
12.465 * [backup-simplify]: Simplify 0 into 0
12.465 * [backup-simplify]: Simplify 1 into 1
12.465 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.465 * [taylor]: Taking taylor expansion of z in y
12.465 * [backup-simplify]: Simplify z into z
12.465 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.465 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.465 * [backup-simplify]: Simplify (log (pow z 2)) into (log (pow z 2))
12.465 * [backup-simplify]: Simplify (* 1/4 (log (pow z 2))) into (* 1/4 (log (pow z 2)))
12.465 * [backup-simplify]: Simplify (exp (* 1/4 (log (pow z 2)))) into (pow (pow z 2) 1/4)
12.465 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.465 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.465 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.466 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.466 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.467 * [backup-simplify]: Simplify (* (pow (pow z 2) 1/4) (sqrt 0.3333333333333333)) into (* (sqrt z) (sqrt 0.3333333333333333))
12.467 * [taylor]: Taking taylor expansion of (* (sqrt z) (sqrt 0.3333333333333333)) in z
12.467 * [taylor]: Taking taylor expansion of (sqrt z) in z
12.467 * [taylor]: Taking taylor expansion of z in z
12.467 * [backup-simplify]: Simplify 0 into 0
12.467 * [backup-simplify]: Simplify 1 into 1
12.467 * [backup-simplify]: Simplify (sqrt 0) into 0
12.469 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.469 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.469 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.469 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.469 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.470 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
12.470 * [backup-simplify]: Simplify 0 into 0
12.470 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0
12.470 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.471 * [backup-simplify]: Simplify (+ 0 0) into 0
12.471 * [backup-simplify]: Simplify (+ 0 0) into 0
12.472 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 1) into 0
12.472 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (+ (pow y 2) (pow z 2))))) into 0
12.473 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.474 * [backup-simplify]: Simplify (+ (* (pow (+ (pow y 2) (pow z 2)) 1/4) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.474 * [taylor]: Taking taylor expansion of 0 in y
12.474 * [backup-simplify]: Simplify 0 into 0
12.474 * [taylor]: Taking taylor expansion of 0 in z
12.474 * [backup-simplify]: Simplify 0 into 0
12.474 * [backup-simplify]: Simplify 0 into 0
12.474 * [backup-simplify]: Simplify (+ (* z 0) (* 0 z)) into 0
12.474 * [backup-simplify]: Simplify (+ 0 0) into 0
12.475 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow z 2) 1)))) 1) into 0
12.476 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (log (pow z 2)))) into 0
12.476 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (pow z 2)))) (+ (* (/ (pow 0 1) 1)))) into 0
12.477 * [backup-simplify]: Simplify (+ (* (pow (pow z 2) 1/4) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.477 * [taylor]: Taking taylor expansion of 0 in z
12.477 * [backup-simplify]: Simplify 0 into 0
12.477 * [backup-simplify]: Simplify 0 into 0
12.479 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.480 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.482 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0
12.482 * [backup-simplify]: Simplify (* 1 1) into 1
12.483 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.483 * [backup-simplify]: Simplify (+ 1 0) into 1
12.483 * [backup-simplify]: Simplify (+ 0 1) into 1
12.485 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (pow y 2) (pow z 2)) 2))) (* 1 (/ (* 1 (pow (* 2 1) 1)) (pow (+ (pow y 2) (pow z 2)) 1)))) 2) into (/ 1 (+ (pow y 2) (pow z 2)))
12.486 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (+ (pow y 2) (pow z 2)))) (+ (* 0 0) (* 0 (log (+ (pow y 2) (pow z 2)))))) into (* 1/4 (/ 1 (+ (pow y 2) (pow z 2))))
12.487 * [backup-simplify]: Simplify (* (exp (* 1/4 (log (+ (pow y 2) (pow z 2))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/4 (/ 1 (+ (pow y 2) (pow z 2)))) 1) 1)))) into (* 1/4 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4))
12.488 * [backup-simplify]: Simplify (+ (* (pow (+ (pow y 2) (pow z 2)) 1/4) 0) (+ (* 0 0) (* (* 1/4 (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4)) (sqrt 0.3333333333333333)))) into (* 1/4 (* (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) (sqrt 0.3333333333333333)))
12.488 * [taylor]: Taking taylor expansion of (* 1/4 (* (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) (sqrt 0.3333333333333333))) in y
12.488 * [taylor]: Taking taylor expansion of 1/4 in y
12.488 * [backup-simplify]: Simplify 1/4 into 1/4
12.488 * [taylor]: Taking taylor expansion of (* (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) (sqrt 0.3333333333333333)) in y
12.488 * [taylor]: Taking taylor expansion of (pow (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) 1/4) in y
12.488 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))))) in y
12.488 * [taylor]: Taking taylor expansion of (* 1/4 (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)))) in y
12.488 * [taylor]: Taking taylor expansion of 1/4 in y
12.488 * [backup-simplify]: Simplify 1/4 into 1/4
12.488 * [taylor]: Taking taylor expansion of (log (/ 1 (pow (+ (pow y 2) (pow z 2)) 3))) in y
12.488 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (pow y 2) (pow z 2)) 3)) in y
12.488 * [taylor]: Taking taylor expansion of (pow (+ (pow y 2) (pow z 2)) 3) in y
12.488 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow z 2)) in y
12.488 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.488 * [taylor]: Taking taylor expansion of y in y
12.489 * [backup-simplify]: Simplify 0 into 0
12.489 * [backup-simplify]: Simplify 1 into 1
12.489 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.489 * [taylor]: Taking taylor expansion of z in y
12.489 * [backup-simplify]: Simplify z into z
12.489 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.489 * [backup-simplify]: Simplify (+ 0 (pow z 2)) into (pow z 2)
12.489 * [backup-simplify]: Simplify (* (pow z 2) (pow z 2)) into (pow z 4)
12.489 * [backup-simplify]: Simplify (* (pow z 2) (pow z 4)) into (pow z 6)
12.489 * [backup-simplify]: Simplify (/ 1 (pow z 6)) into (/ 1 (pow z 6))
12.489 * [backup-simplify]: Simplify (log (/ 1 (pow z 6))) into (log (/ 1 (pow z 6)))
12.489 * [backup-simplify]: Simplify (* 1/4 (log (/ 1 (pow z 6)))) into (* 1/4 (log (/ 1 (pow z 6))))
12.489 * [backup-simplify]: Simplify (exp (* 1/4 (log (/ 1 (pow z 6))))) into (pow (/ 1 (pow z 6)) 1/4)
12.489 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.489 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.489 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.490 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.491 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.491 * [backup-simplify]: Simplify (* (pow (/ 1 (pow z 6)) 1/4) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333))
12.492 * [backup-simplify]: Simplify (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333))) into (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333)))
12.492 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333))) in z
12.492 * [taylor]: Taking taylor expansion of 1/4 in z
12.492 * [backup-simplify]: Simplify 1/4 into 1/4
12.492 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333)) in z
12.492 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z
12.492 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z
12.492 * [taylor]: Taking taylor expansion of (pow z 3) in z
12.492 * [taylor]: Taking taylor expansion of z in z
12.492 * [backup-simplify]: Simplify 0 into 0
12.492 * [backup-simplify]: Simplify 1 into 1
12.492 * [backup-simplify]: Simplify (* 1 1) into 1
12.493 * [backup-simplify]: Simplify (* 1 1) into 1
12.493 * [backup-simplify]: Simplify (/ 1 1) into 1
12.493 * [backup-simplify]: Simplify (sqrt 0) into 0
12.495 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.495 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.495 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.495 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.496 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.497 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.507 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.510 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 0.3333333333333333)))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.512 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.512 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
12.517 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (sqrt 0.3333333333333333)))) (+ (* 0 (- (* +nan.0 (sqrt 0.3333333333333333)))) (* 0 0))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.518 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.518 * [taylor]: Taking taylor expansion of 0 in z
12.518 * [backup-simplify]: Simplify 0 into 0
12.518 * [backup-simplify]: Simplify 0 into 0
12.519 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.520 * [backup-simplify]: Simplify (* 1 1) into 1
12.520 * [backup-simplify]: Simplify (+ (* z 0) (+ (* 0 0) (* 0 z))) into 0
12.520 * [backup-simplify]: Simplify (+ 1 0) into 1
12.522 * [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))
12.522 * [backup-simplify]: Simplify (+ (* 1/4 (/ 1 (pow z 2))) (+ (* 0 0) (* 0 (log (pow z 2))))) into (* 1/4 (/ 1 (pow z 2)))
12.523 * [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))))
12.524 * [backup-simplify]: Simplify (+ (* (pow (pow z 2) 1/4) 0) (+ (* 0 0) (* (* 1/4 (sqrt (/ 1 (pow z 3)))) (sqrt 0.3333333333333333)))) into (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333)))
12.524 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333))) in z
12.524 * [taylor]: Taking taylor expansion of 1/4 in z
12.524 * [backup-simplify]: Simplify 1/4 into 1/4
12.524 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow z 3))) (sqrt 0.3333333333333333)) in z
12.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow z 3))) in z
12.524 * [taylor]: Taking taylor expansion of (/ 1 (pow z 3)) in z
12.524 * [taylor]: Taking taylor expansion of (pow z 3) in z
12.524 * [taylor]: Taking taylor expansion of z in z
12.524 * [backup-simplify]: Simplify 0 into 0
12.524 * [backup-simplify]: Simplify 1 into 1
12.525 * [backup-simplify]: Simplify (* 1 1) into 1
12.525 * [backup-simplify]: Simplify (* 1 1) into 1
12.525 * [backup-simplify]: Simplify (/ 1 1) into 1
12.526 * [backup-simplify]: Simplify (sqrt 0) into 0
12.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
12.527 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.527 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.527 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.527 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.529 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.533 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0
12.536 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 0.3333333333333333)))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.538 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.538 * [backup-simplify]: Simplify (* 0 (sqrt 0.3333333333333333)) into 0
12.542 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (sqrt 0.3333333333333333)))) (+ (* 0 (- (* +nan.0 (sqrt 0.3333333333333333)))) (* 0 0))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.544 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 0.3333333333333333))) into (- (* +nan.0 (sqrt 0.3333333333333333)))
12.548 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 0.3333333333333333))) (pow (* 1 (* y 1)) 2)) (+ (* (- (* +nan.0 (sqrt 0.3333333333333333))) (pow (* 1 (* 1 x)) 2)) (* (- (* +nan.0 (sqrt 0.3333333333333333))) (* z (* 1 1))))) into (- (+ (* +nan.0 (* z (sqrt 0.3333333333333333))) (- (+ (* +nan.0 (* (pow y 2) (sqrt 0.3333333333333333))) (- (* +nan.0 (* (pow x 2) (sqrt 0.3333333333333333))))))))
12.549 * [backup-simplify]: Simplify (sqrt (/ (sqrt (+ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 y) (/ 1 y)) (* (/ 1 z) (/ 1 z))))) 3.0)) into (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333))
12.549 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in (x y z) around 0
12.549 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in z
12.549 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in z
12.549 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in z
12.549 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
12.549 * [taylor]: Taking taylor expansion of 1/4 in z
12.549 * [backup-simplify]: Simplify 1/4 into 1/4
12.549 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.549 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.549 * [taylor]: Taking taylor expansion of y in z
12.549 * [backup-simplify]: Simplify y into y
12.549 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.549 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.550 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.550 * [taylor]: Taking taylor expansion of x in z
12.550 * [backup-simplify]: Simplify x into x
12.550 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.550 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.550 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.550 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.550 * [taylor]: Taking taylor expansion of z in z
12.550 * [backup-simplify]: Simplify 0 into 0
12.550 * [backup-simplify]: Simplify 1 into 1
12.550 * [backup-simplify]: Simplify (* 1 1) into 1
12.551 * [backup-simplify]: Simplify (/ 1 1) into 1
12.551 * [backup-simplify]: Simplify (+ 0 1) into 1
12.551 * [backup-simplify]: Simplify (+ 0 1) into 1
12.552 * [backup-simplify]: Simplify (log 1) into 0
12.552 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.552 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z))
12.552 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2)
12.552 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.552 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.552 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.553 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.553 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in y
12.553 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in y
12.553 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
12.553 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
12.553 * [taylor]: Taking taylor expansion of 1/4 in y
12.553 * [backup-simplify]: Simplify 1/4 into 1/4
12.553 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.553 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.554 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.554 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.554 * [taylor]: Taking taylor expansion of y in y
12.554 * [backup-simplify]: Simplify 0 into 0
12.554 * [backup-simplify]: Simplify 1 into 1
12.554 * [backup-simplify]: Simplify (* 1 1) into 1
12.554 * [backup-simplify]: Simplify (/ 1 1) into 1
12.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.554 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.554 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.554 * [taylor]: Taking taylor expansion of x in y
12.554 * [backup-simplify]: Simplify x into x
12.554 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.554 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.555 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.555 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.555 * [taylor]: Taking taylor expansion of z in y
12.555 * [backup-simplify]: Simplify z into z
12.555 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.555 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.555 * [backup-simplify]: Simplify (+ 1 0) into 1
12.555 * [backup-simplify]: Simplify (log 1) into 0
12.556 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
12.556 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
12.556 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
12.556 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.556 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.556 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.556 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.557 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in x
12.557 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
12.557 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
12.557 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
12.557 * [taylor]: Taking taylor expansion of 1/4 in x
12.557 * [backup-simplify]: Simplify 1/4 into 1/4
12.557 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.557 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.557 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.557 * [taylor]: Taking taylor expansion of y in x
12.557 * [backup-simplify]: Simplify y into y
12.557 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.558 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.558 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.558 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.558 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.558 * [taylor]: Taking taylor expansion of x in x
12.558 * [backup-simplify]: Simplify 0 into 0
12.558 * [backup-simplify]: Simplify 1 into 1
12.558 * [backup-simplify]: Simplify (* 1 1) into 1
12.558 * [backup-simplify]: Simplify (/ 1 1) into 1
12.558 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.558 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.558 * [taylor]: Taking taylor expansion of z in x
12.558 * [backup-simplify]: Simplify z into z
12.558 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.559 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.559 * [backup-simplify]: Simplify (+ 1 0) into 1
12.559 * [backup-simplify]: Simplify (+ 0 1) into 1
12.560 * [backup-simplify]: Simplify (log 1) into 0
12.560 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.560 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
12.560 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
12.560 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.560 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.560 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.561 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.561 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.561 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in x
12.561 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
12.561 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
12.561 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
12.561 * [taylor]: Taking taylor expansion of 1/4 in x
12.562 * [backup-simplify]: Simplify 1/4 into 1/4
12.562 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.562 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.562 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.562 * [taylor]: Taking taylor expansion of y in x
12.562 * [backup-simplify]: Simplify y into y
12.562 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.562 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.562 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.562 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.562 * [taylor]: Taking taylor expansion of x in x
12.562 * [backup-simplify]: Simplify 0 into 0
12.562 * [backup-simplify]: Simplify 1 into 1
12.562 * [backup-simplify]: Simplify (* 1 1) into 1
12.563 * [backup-simplify]: Simplify (/ 1 1) into 1
12.563 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.563 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.563 * [taylor]: Taking taylor expansion of z in x
12.563 * [backup-simplify]: Simplify z into z
12.563 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.563 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.563 * [backup-simplify]: Simplify (+ 1 0) into 1
12.564 * [backup-simplify]: Simplify (+ 0 1) into 1
12.564 * [backup-simplify]: Simplify (log 1) into 0
12.564 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.565 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
12.565 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
12.565 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.565 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.565 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.565 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.566 * [backup-simplify]: Simplify (* (pow x -1/2) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.566 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) in y
12.566 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.566 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.566 * [taylor]: Taking taylor expansion of x in y
12.566 * [backup-simplify]: Simplify x into x
12.566 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.566 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.567 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.567 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.567 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.567 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.567 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.568 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.568 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) in z
12.568 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
12.568 * [taylor]: Taking taylor expansion of (/ 1 x) in z
12.568 * [taylor]: Taking taylor expansion of x in z
12.568 * [backup-simplify]: Simplify x into x
12.568 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.568 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.569 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.569 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.569 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.569 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.569 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.570 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.570 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.572 * [backup-simplify]: Simplify (+ 0 0) into 0
12.572 * [backup-simplify]: Simplify (+ 0 0) into 0
12.573 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.574 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.574 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
12.575 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
12.576 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.576 * [taylor]: Taking taylor expansion of 0 in y
12.576 * [backup-simplify]: Simplify 0 into 0
12.576 * [taylor]: Taking taylor expansion of 0 in z
12.576 * [backup-simplify]: Simplify 0 into 0
12.576 * [backup-simplify]: Simplify 0 into 0
12.576 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.576 * [taylor]: Taking taylor expansion of 0 in z
12.576 * [backup-simplify]: Simplify 0 into 0
12.576 * [backup-simplify]: Simplify 0 into 0
12.577 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.577 * [backup-simplify]: Simplify 0 into 0
12.578 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.579 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.579 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.580 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow z 2)))))
12.580 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.581 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow z 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow z 2))))
12.581 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow z 2)))) 1) 1)))) into (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow z 2)))))
12.582 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (+ (* 0 0) (* (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)))) into (+ (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2)))) (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))))
12.582 * [taylor]: Taking taylor expansion of (+ (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2)))) (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))))) in y
12.582 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
12.582 * [taylor]: Taking taylor expansion of 1/4 in y
12.583 * [backup-simplify]: Simplify 1/4 into 1/4
12.583 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2))) in y
12.583 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.583 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.583 * [taylor]: Taking taylor expansion of x in y
12.583 * [backup-simplify]: Simplify x into x
12.583 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.583 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.583 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
12.583 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.583 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.583 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.583 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.584 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.584 * [taylor]: Taking taylor expansion of y in y
12.584 * [backup-simplify]: Simplify 0 into 0
12.584 * [backup-simplify]: Simplify 1 into 1
12.584 * [backup-simplify]: Simplify (* 1 1) into 1
12.585 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.585 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) in y
12.585 * [taylor]: Taking taylor expansion of 1/4 in y
12.585 * [backup-simplify]: Simplify 1/4 into 1/4
12.585 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) in y
12.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.585 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.585 * [taylor]: Taking taylor expansion of x in y
12.585 * [backup-simplify]: Simplify x into x
12.585 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.585 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.585 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
12.585 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.585 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.585 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.585 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.586 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.586 * [taylor]: Taking taylor expansion of z in y
12.586 * [backup-simplify]: Simplify z into z
12.586 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.586 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.587 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.588 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.589 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.592 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.593 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.593 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.594 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.595 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))))) into 0
12.595 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) into (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))
12.596 * [backup-simplify]: Simplify (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))))
12.597 * [backup-simplify]: Simplify (+ 0 (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))))) into (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))))
12.597 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) in z
12.597 * [taylor]: Taking taylor expansion of 1/4 in z
12.597 * [backup-simplify]: Simplify 1/4 into 1/4
12.597 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) in z
12.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
12.597 * [taylor]: Taking taylor expansion of (/ 1 x) in z
12.597 * [taylor]: Taking taylor expansion of x in z
12.597 * [backup-simplify]: Simplify x into x
12.597 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.597 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.597 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.597 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
12.597 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.597 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.597 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.598 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.598 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.598 * [taylor]: Taking taylor expansion of z in z
12.598 * [backup-simplify]: Simplify 0 into 0
12.598 * [backup-simplify]: Simplify 1 into 1
12.599 * [backup-simplify]: Simplify (* 1 1) into 1
12.599 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.600 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.604 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.604 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.605 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.605 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.606 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.606 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.608 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))))) into 0
12.608 * [backup-simplify]: Simplify 0 into 0
12.608 * [taylor]: Taking taylor expansion of 0 in z
12.608 * [backup-simplify]: Simplify 0 into 0
12.608 * [backup-simplify]: Simplify 0 into 0
12.609 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.610 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.610 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.610 * [taylor]: Taking taylor expansion of 0 in z
12.610 * [backup-simplify]: Simplify 0 into 0
12.610 * [backup-simplify]: Simplify 0 into 0
12.611 * [backup-simplify]: Simplify (* (sqrt (/ 1 (/ 1 x))) (sqrt 0.3333333333333333)) into (* (sqrt x) (sqrt 0.3333333333333333))
12.611 * [backup-simplify]: Simplify (sqrt (/ (sqrt (+ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- z)) (/ 1 (- z)))))) 3.0)) into (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333))
12.611 * [approximate]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in (x y z) around 0
12.611 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in z
12.611 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in z
12.611 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in z
12.611 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in z
12.611 * [taylor]: Taking taylor expansion of 1/4 in z
12.612 * [backup-simplify]: Simplify 1/4 into 1/4
12.612 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in z
12.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in z
12.612 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in z
12.612 * [taylor]: Taking taylor expansion of (pow y 2) in z
12.612 * [taylor]: Taking taylor expansion of y in z
12.612 * [backup-simplify]: Simplify y into y
12.612 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.612 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in z
12.612 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in z
12.612 * [taylor]: Taking taylor expansion of (pow x 2) in z
12.612 * [taylor]: Taking taylor expansion of x in z
12.612 * [backup-simplify]: Simplify x into x
12.612 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.612 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.612 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in z
12.612 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.612 * [taylor]: Taking taylor expansion of z in z
12.612 * [backup-simplify]: Simplify 0 into 0
12.612 * [backup-simplify]: Simplify 1 into 1
12.613 * [backup-simplify]: Simplify (* 1 1) into 1
12.613 * [backup-simplify]: Simplify (/ 1 1) into 1
12.614 * [backup-simplify]: Simplify (+ 0 1) into 1
12.614 * [backup-simplify]: Simplify (+ 0 1) into 1
12.614 * [backup-simplify]: Simplify (log 1) into 0
12.615 * [backup-simplify]: Simplify (+ (* (- 2) (log z)) 0) into (- (* 2 (log z)))
12.615 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log z)))) into (* -1/2 (log z))
12.615 * [backup-simplify]: Simplify (exp (* -1/2 (log z))) into (pow z -1/2)
12.615 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.615 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.615 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.616 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.616 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in y
12.616 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in y
12.616 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in y
12.616 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in y
12.616 * [taylor]: Taking taylor expansion of 1/4 in y
12.616 * [backup-simplify]: Simplify 1/4 into 1/4
12.616 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in y
12.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in y
12.617 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y
12.617 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.617 * [taylor]: Taking taylor expansion of y in y
12.617 * [backup-simplify]: Simplify 0 into 0
12.617 * [backup-simplify]: Simplify 1 into 1
12.617 * [backup-simplify]: Simplify (* 1 1) into 1
12.617 * [backup-simplify]: Simplify (/ 1 1) into 1
12.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in y
12.617 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y
12.617 * [taylor]: Taking taylor expansion of (pow x 2) in y
12.618 * [taylor]: Taking taylor expansion of x in y
12.618 * [backup-simplify]: Simplify x into x
12.618 * [backup-simplify]: Simplify (* x x) into (pow x 2)
12.618 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2))
12.618 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in y
12.618 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.618 * [taylor]: Taking taylor expansion of z in y
12.618 * [backup-simplify]: Simplify z into z
12.618 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.618 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.618 * [backup-simplify]: Simplify (+ 1 0) into 1
12.619 * [backup-simplify]: Simplify (log 1) into 0
12.619 * [backup-simplify]: Simplify (+ (* (- 2) (log y)) 0) into (- (* 2 (log y)))
12.619 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log y)))) into (* -1/2 (log y))
12.619 * [backup-simplify]: Simplify (exp (* -1/2 (log y))) into (pow y -1/2)
12.619 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.619 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.619 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.620 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.620 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in x
12.620 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
12.620 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
12.620 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
12.621 * [taylor]: Taking taylor expansion of 1/4 in x
12.621 * [backup-simplify]: Simplify 1/4 into 1/4
12.621 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.621 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.621 * [taylor]: Taking taylor expansion of y in x
12.621 * [backup-simplify]: Simplify y into y
12.621 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.621 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.621 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.621 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.621 * [taylor]: Taking taylor expansion of x in x
12.621 * [backup-simplify]: Simplify 0 into 0
12.621 * [backup-simplify]: Simplify 1 into 1
12.621 * [backup-simplify]: Simplify (* 1 1) into 1
12.622 * [backup-simplify]: Simplify (/ 1 1) into 1
12.622 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.622 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.622 * [taylor]: Taking taylor expansion of z in x
12.622 * [backup-simplify]: Simplify z into z
12.622 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.622 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.622 * [backup-simplify]: Simplify (+ 1 0) into 1
12.623 * [backup-simplify]: Simplify (+ 0 1) into 1
12.623 * [backup-simplify]: Simplify (log 1) into 0
12.624 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.624 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
12.624 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
12.624 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.624 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.624 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.624 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.625 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.625 * [taylor]: Taking taylor expansion of (* (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) (sqrt 0.3333333333333333)) in x
12.625 * [taylor]: Taking taylor expansion of (pow (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) 1/4) in x
12.625 * [taylor]: Taking taylor expansion of (exp (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))))) in x
12.625 * [taylor]: Taking taylor expansion of (* 1/4 (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))))) in x
12.625 * [taylor]: Taking taylor expansion of 1/4 in x
12.625 * [backup-simplify]: Simplify 1/4 into 1/4
12.625 * [taylor]: Taking taylor expansion of (log (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))))) in x
12.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (+ (/ 1 (pow x 2)) (/ 1 (pow z 2)))) in x
12.625 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x
12.625 * [taylor]: Taking taylor expansion of (pow y 2) in x
12.625 * [taylor]: Taking taylor expansion of y in x
12.625 * [backup-simplify]: Simplify y into y
12.625 * [backup-simplify]: Simplify (* y y) into (pow y 2)
12.625 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2))
12.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow x 2)) (/ 1 (pow z 2))) in x
12.625 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x
12.625 * [taylor]: Taking taylor expansion of (pow x 2) in x
12.625 * [taylor]: Taking taylor expansion of x in x
12.625 * [backup-simplify]: Simplify 0 into 0
12.625 * [backup-simplify]: Simplify 1 into 1
12.626 * [backup-simplify]: Simplify (* 1 1) into 1
12.631 * [backup-simplify]: Simplify (/ 1 1) into 1
12.631 * [taylor]: Taking taylor expansion of (/ 1 (pow z 2)) in x
12.631 * [taylor]: Taking taylor expansion of (pow z 2) in x
12.631 * [taylor]: Taking taylor expansion of z in x
12.631 * [backup-simplify]: Simplify z into z
12.631 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.631 * [backup-simplify]: Simplify (/ 1 (pow z 2)) into (/ 1 (pow z 2))
12.632 * [backup-simplify]: Simplify (+ 1 0) into 1
12.632 * [backup-simplify]: Simplify (+ 0 1) into 1
12.633 * [backup-simplify]: Simplify (log 1) into 0
12.633 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.633 * [backup-simplify]: Simplify (* 1/4 (- (* 2 (log x)))) into (* -1/2 (log x))
12.633 * [backup-simplify]: Simplify (exp (* -1/2 (log x))) into (pow x -1/2)
12.633 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in x
12.633 * [taylor]: Taking taylor expansion of 0.3333333333333333 in x
12.633 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.634 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.634 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.635 * [backup-simplify]: Simplify (* (pow x -1/2) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.635 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) in y
12.635 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.635 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.635 * [taylor]: Taking taylor expansion of x in y
12.635 * [backup-simplify]: Simplify x into x
12.635 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.635 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.635 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.636 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.636 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.636 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.637 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.637 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) in z
12.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
12.637 * [taylor]: Taking taylor expansion of (/ 1 x) in z
12.637 * [taylor]: Taking taylor expansion of x in z
12.637 * [backup-simplify]: Simplify x into x
12.637 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.637 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.638 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.638 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.638 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.638 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.638 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.639 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.639 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.640 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.641 * [backup-simplify]: Simplify (+ 0 0) into 0
12.642 * [backup-simplify]: Simplify (+ 0 0) into 0
12.643 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.643 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.644 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (- (* 2 (log x))))) into 0
12.645 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 1) 1)))) into 0
12.645 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.645 * [taylor]: Taking taylor expansion of 0 in y
12.645 * [backup-simplify]: Simplify 0 into 0
12.645 * [taylor]: Taking taylor expansion of 0 in z
12.645 * [backup-simplify]: Simplify 0 into 0
12.645 * [backup-simplify]: Simplify 0 into 0
12.646 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.646 * [taylor]: Taking taylor expansion of 0 in z
12.646 * [backup-simplify]: Simplify 0 into 0
12.646 * [backup-simplify]: Simplify 0 into 0
12.647 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.647 * [backup-simplify]: Simplify 0 into 0
12.648 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.650 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow z 2))) into (/ 1 (pow z 2))
12.650 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) (/ 1 (pow z 2))) into (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))
12.652 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (+ (/ 1 (pow y 2)) (/ 1 (pow z 2)))) 1)) (pow 1 1)))) 2) into (* 1/2 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow z 2)))))
12.652 * [backup-simplify]: Simplify (+ (* (- 2) (log x)) 0) into (- (* 2 (log x)))
12.653 * [backup-simplify]: Simplify (+ (* 1/4 (* 1/2 (+ (* 2 (/ 1 (pow y 2))) (* 2 (/ 1 (pow z 2)))))) (+ (* 0 0) (* 0 (- (* 2 (log x)))))) into (+ (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow z 2))))
12.654 * [backup-simplify]: Simplify (* (exp (* -1/2 (log x))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (+ (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow z 2)))) 1) 1)))) into (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow z 2)))))
12.655 * [backup-simplify]: Simplify (+ (* (pow x -1/2) 0) (+ (* 0 0) (* (* (sqrt (/ 1 x)) (+ (* 1/4 (/ 1 (pow y 2))) (* 1/4 (/ 1 (pow z 2))))) (sqrt 0.3333333333333333)))) into (+ (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2)))) (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))))
12.655 * [taylor]: Taking taylor expansion of (+ (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2)))) (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))))) in y
12.655 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2)))) in y
12.655 * [taylor]: Taking taylor expansion of 1/4 in y
12.655 * [backup-simplify]: Simplify 1/4 into 1/4
12.655 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow y 2))) in y
12.655 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.655 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.655 * [taylor]: Taking taylor expansion of x in y
12.655 * [backup-simplify]: Simplify x into x
12.655 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.655 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.655 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow y 2)) in y
12.655 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.655 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.655 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.656 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.656 * [taylor]: Taking taylor expansion of (pow y 2) in y
12.656 * [taylor]: Taking taylor expansion of y in y
12.656 * [backup-simplify]: Simplify 0 into 0
12.656 * [backup-simplify]: Simplify 1 into 1
12.656 * [backup-simplify]: Simplify (* 1 1) into 1
12.657 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.657 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) in y
12.657 * [taylor]: Taking taylor expansion of 1/4 in y
12.657 * [backup-simplify]: Simplify 1/4 into 1/4
12.657 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) in y
12.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in y
12.658 * [taylor]: Taking taylor expansion of (/ 1 x) in y
12.658 * [taylor]: Taking taylor expansion of x in y
12.658 * [backup-simplify]: Simplify x into x
12.658 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.658 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.658 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.658 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.658 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in y
12.658 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in y
12.658 * [taylor]: Taking taylor expansion of 0.3333333333333333 in y
12.658 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.659 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.659 * [taylor]: Taking taylor expansion of (pow z 2) in y
12.659 * [taylor]: Taking taylor expansion of z in y
12.659 * [backup-simplify]: Simplify z into z
12.660 * [backup-simplify]: Simplify (* z z) into (pow z 2)
12.660 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) (pow z 2)) into (/ (sqrt 0.3333333333333333) (pow z 2))
12.661 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.664 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.665 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.666 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.666 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.667 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.667 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.668 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))))) into 0
12.669 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) into (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))
12.669 * [backup-simplify]: Simplify (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) into (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))))
12.670 * [backup-simplify]: Simplify (+ 0 (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))))) into (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))))
12.670 * [taylor]: Taking taylor expansion of (* 1/4 (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2)))) in z
12.670 * [taylor]: Taking taylor expansion of 1/4 in z
12.670 * [backup-simplify]: Simplify 1/4 into 1/4
12.670 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 x)) (/ (sqrt 0.3333333333333333) (pow z 2))) in z
12.670 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in z
12.670 * [taylor]: Taking taylor expansion of (/ 1 x) in z
12.670 * [taylor]: Taking taylor expansion of x in z
12.670 * [backup-simplify]: Simplify x into x
12.670 * [backup-simplify]: Simplify (/ 1 x) into (/ 1 x)
12.670 * [backup-simplify]: Simplify (sqrt (/ 1 x)) into (sqrt (/ 1 x))
12.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)))) into 0
12.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 x)))) into 0
12.671 * [taylor]: Taking taylor expansion of (/ (sqrt 0.3333333333333333) (pow z 2)) in z
12.671 * [taylor]: Taking taylor expansion of (sqrt 0.3333333333333333) in z
12.671 * [taylor]: Taking taylor expansion of 0.3333333333333333 in z
12.671 * [backup-simplify]: Simplify 0.3333333333333333 into 0.3333333333333333
12.671 * [backup-simplify]: Simplify (sqrt 0.3333333333333333) into (sqrt 0.3333333333333333)
12.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 0.3333333333333333))) into 0
12.672 * [taylor]: Taking taylor expansion of (pow z 2) in z
12.672 * [taylor]: Taking taylor expansion of z in z
12.672 * [backup-simplify]: Simplify 0 into 0
12.672 * [backup-simplify]: Simplify 1 into 1
12.672 * [backup-simplify]: Simplify (* 1 1) into 1
12.673 * [backup-simplify]: Simplify (/ (sqrt 0.3333333333333333) 1) into (sqrt 0.3333333333333333)
12.674 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.676 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)))) into 0
12.678 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 0.3333333333333333) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.679 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.680 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.680 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (* 0 (sqrt 0.3333333333333333))) into 0
12.681 * [backup-simplify]: Simplify (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333)) into (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))
12.682 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (* (sqrt (/ 1 x)) (sqrt 0.3333333333333333))))) into 0
12.682 * [backup-simplify]: Simplify 0 into 0
12.682 * [taylor]: Taking taylor expansion of 0 in z
12.682 * [backup-simplify]: Simplify 0 into 0
12.682 * [backup-simplify]: Simplify 0 into 0
12.683 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 0.3333333333333333))) into 0
12.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 x) (/ 0 x)) (* 0 (/ 0 x)))) into 0
12.684 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 x)))) into 0
12.685 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 x)) 0) (+ (* 0 0) (* 0 (sqrt 0.3333333333333333)))) into 0
12.685 * [taylor]: Taking taylor expansion of 0 in z
12.685 * [backup-simplify]: Simplify 0 into 0
12.685 * [backup-simplify]: Simplify 0 into 0
12.685 * [backup-simplify]: Simplify (* (sqrt (/ 1 (/ 1 (- x)))) (sqrt 0.3333333333333333)) into (* (sqrt (* -1 x)) (sqrt 0.3333333333333333))
12.685 * * * [progress]: simplifying candidates
12.685 * * * * [progress]: [ 1 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (pow (+ (* x x) (+ (* y y) (* z z))) 1/2) 3.0))))>
12.685 * * * * [progress]: [ 2 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (pow (sqrt (+ (* x x) (+ (* y y) (* z z)))) 1) 3.0))))>
12.685 * * * * [progress]: [ 3 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (exp (log (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 3.0))))>
12.686 * * * * [progress]: [ 4 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (log (exp (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 3.0))))>
12.686 * * * * [progress]: [ 5 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 3.0))))>
12.686 * * * * [progress]: [ 6 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (cbrt (* (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 3.0))))>
12.686 * * * * [progress]: [ 7 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))) 3.0))))>
12.686 * * * * [progress]: [ 8 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 3.0))))>
12.686 * * * * [progress]: [ 9 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (sqrt 1) (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0))))>
12.686 * * * * [progress]: [ 10 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (/ (sqrt (+ (pow (* x x) 3) (pow (+ (* y y) (* z z)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* (* x x) (+ (* y y) (* z z))))))) 3.0))))>
12.686 * * * * [progress]: [ 11 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (/ (sqrt (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (+ (* y y) (* z z))))) (sqrt (- (* x x) (+ (* y y) (* z z))))) 3.0))))>
12.686 * * * * [progress]: [ 12 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (pow (+ (* x x) (+ (* y y) (* z z))) (/ 1 2)) 3.0))))>
12.686 * * * * [progress]: [ 13 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 3.0))))>
12.686 * * * * [progress]: [ 14 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (fabs (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0))))>
12.686 * * * * [progress]: [ 15 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* 1 (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0))))>
12.686 * * * * [progress]: [ 16 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (posit16->real (real->posit16 (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 3.0))))>
12.686 * * * * [progress]: [ 17 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (pow (+ (* x x) (+ (* y y) (* z z))) 1/2)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 18 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (pow (sqrt (+ (* x x) (+ (* y y) (* z z)))) 1)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 19 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (exp (log (sqrt (+ (* x x) (+ (* y y) (* z z))))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 20 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (log (exp (sqrt (+ (* x x) (+ (* y y) (* z z))))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 21 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (* (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 (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 22 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (cbrt (* (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (+ (* x x) (+ (* y y) (* z z))))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 23 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (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)))) 3.0))))>
12.687 * * * * [progress]: [ 24 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 25 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (sqrt 1) (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 26 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (pow (* x x) 3) (pow (+ (* y y) (* z z)) 3))) (sqrt (+ (* (* x x) (* x x)) (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* (* x x) (+ (* y y) (* z z)))))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 27 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (+ (* y y) (* z z))))) (sqrt (- (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 28 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (pow (+ (* x x) (+ (* y y) (* z z))) (/ 1 2))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 29 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 30 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (fabs (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.687 * * * * [progress]: [ 31 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* 1 (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.688 * * * * [progress]: [ 32 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (posit16->real (real->posit16 (sqrt (+ (* x x) (+ (* y y) (* z z))))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.688 * * * * [progress]: [ 33 / 146 ] simplifiying candidate #<alt (λ (x y z) (pow (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) 1/2))>
12.688 * * * * [progress]: [ 34 / 146 ] simplifiying candidate #<alt (λ (x y z) (pow (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) 1))>
12.688 * * * * [progress]: [ 35 / 146 ] simplifiying candidate #<alt (λ (x y z) (pow (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) (/ 1 2)))>
12.688 * * * * [progress]: [ 36 / 146 ] simplifiying candidate #<alt (λ (x y z) (pow (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) 1))>
12.688 * * * * [progress]: [ 37 / 146 ] simplifiying candidate #<alt (λ (x y z) (exp (+ (log (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (log (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.688 * * * * [progress]: [ 38 / 146 ] simplifiying candidate #<alt (λ (x y z) (exp (log (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.688 * * * * [progress]: [ 39 / 146 ] simplifiying candidate #<alt (λ (x y z) (log (exp (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.688 * * * * [progress]: [ 40 / 146 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (* (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.688 * * * * [progress]: [ 41 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (cbrt (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))) (cbrt (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.688 * * * * [progress]: [ 42 / 146 ] simplifiying candidate #<alt (λ (x y z) (cbrt (* (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.688 * * * * [progress]: [ 43 / 146 ] simplifiying candidate #<alt (λ (x y z) (sqrt (* (sqrt (+ (* x x) (+ (* y y) (* z z)))) (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.688 * * * * [progress]: [ 44 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (sqrt (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.688 * * * * [progress]: [ 45 / 146 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (+ (* y y) (* z z)) 3)))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* (* x x) (+ (* y y) (* z z))))))) (sqrt 3.0))))>
12.688 * * * * [progress]: [ 46 / 146 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (+ (* y y) (* z z)))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (sqrt (sqrt (- (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))>
12.689 * * * * [progress]: [ 47 / 146 ] simplifiying candidate #<alt (λ (x y z) (* 1 (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.689 * * * * [progress]: [ 48 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.689 * * * * [progress]: [ 49 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.689 * * * * [progress]: [ 50 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.689 * * * * [progress]: [ 51 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.689 * * * * [progress]: [ 52 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.689 * * * * [progress]: [ 53 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.689 * * * * [progress]: [ 54 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.689 * * * * [progress]: [ 55 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.689 * * * * [progress]: [ 56 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.689 * * * * [progress]: [ 57 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.689 * * * * [progress]: [ 58 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.690 * * * * [progress]: [ 59 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.690 * * * * [progress]: [ 60 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (cbrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (cbrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))) (cbrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.690 * * * * [progress]: [ 61 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (* (cbrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) (cbrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))) (sqrt (cbrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.690 * * * * [progress]: [ 62 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.690 * * * * [progress]: [ 63 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0)))))>
12.690 * * * * [progress]: [ 64 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt 3.0)))) (sqrt (/ (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))))>
12.690 * * * * [progress]: [ 65 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 1))) (sqrt (/ (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0))))>
12.690 * * * * [progress]: [ 66 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))) (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0)))))>
12.690 * * * * [progress]: [ 67 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt 3.0)))) (sqrt (/ (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))))>
12.690 * * * * [progress]: [ 68 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))) 1))) (sqrt (/ (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z))))) 3.0))))>
12.690 * * * * [progress]: [ 69 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0)))))>
12.690 * * * * [progress]: [ 70 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))))>
12.690 * * * * [progress]: [ 71 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 1))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0))))>
12.691 * * * * [progress]: [ 72 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt 3.0)))))>
12.691 * * * * [progress]: [ 73 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt 1) (sqrt 3.0)))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0)))))>
12.691 * * * * [progress]: [ 74 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt 1) 1))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.691 * * * * [progress]: [ 75 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0)))))>
12.691 * * * * [progress]: [ 76 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))))>
12.691 * * * * [progress]: [ 77 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 1))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0))))>
12.691 * * * * [progress]: [ 78 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt 3.0)))))>
12.691 * * * * [progress]: [ 79 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ 1 (sqrt 3.0)))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0)))))>
12.691 * * * * [progress]: [ 80 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ 1 1))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.691 * * * * [progress]: [ 81 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 1)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.691 * * * * [progress]: [ 82 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ 1 3.0))))>
12.691 * * * * [progress]: [ 83 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.691 * * * * [progress]: [ 84 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 1) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.691 * * * * [progress]: [ 85 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (* (cbrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (cbrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))) (* (cbrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 86 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))))) (* (sqrt (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 87 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z))))))) (* (sqrt (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 88 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 89 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt 1)) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 90 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 91 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt 1) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 92 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 93 / 146 ] simplifiying candidate #<alt (λ (x y z) (* 1 (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.692 * * * * [progress]: [ 94 / 146 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt 3.0)))>
12.692 * * * * [progress]: [ 95 / 146 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (sqrt (+ (pow (* x x) 3) (pow (+ (* y y) (* z z)) 3)))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (sqrt (sqrt (+ (* (* x x) (* x x)) (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* (* x x) (+ (* y y) (* z z)))))))))>
12.692 * * * * [progress]: [ 96 / 146 ] simplifiying candidate #<alt (λ (x y z) (/ (* (sqrt (sqrt (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (sqrt (sqrt (- (* x x) (+ (* y y) (* z z)))))))>
12.692 * * * * [progress]: [ 97 / 146 ] simplifiying candidate #<alt (λ (x y z) (posit16->real (real->posit16 (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.692 * * * * [progress]: [ 98 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))))>
12.692 * * * * [progress]: [ 99 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (pow (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0) 1/2)))>
12.693 * * * * [progress]: [ 100 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (pow (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) 1)))>
12.693 * * * * [progress]: [ 101 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (exp (log (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.693 * * * * [progress]: [ 102 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (log (exp (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.693 * * * * [progress]: [ 103 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (* (cbrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (cbrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (cbrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.693 * * * * [progress]: [ 104 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (* (* (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.693 * * * * [progress]: [ 105 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (* (cbrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)) (cbrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))) (sqrt (cbrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.693 * * * * [progress]: [ 106 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.693 * * * * [progress]: [ 107 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0))))))>
12.693 * * * * [progress]: [ 108 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt 3.0))) (sqrt (/ (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.693 * * * * [progress]: [ 109 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) 1)) (sqrt (/ (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0)))))>
12.693 * * * * [progress]: [ 110 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0))))))>
12.693 * * * * [progress]: [ 111 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt 3.0))) (sqrt (/ (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.693 * * * * [progress]: [ 112 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))) 1)) (sqrt (/ (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z))))) 3.0)))))>
12.693 * * * * [progress]: [ 113 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0))))))>
12.694 * * * * [progress]: [ 114 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.694 * * * * [progress]: [ 115 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 1)) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0)))))>
12.694 * * * * [progress]: [ 116 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt 1) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt 3.0))))))>
12.694 * * * * [progress]: [ 117 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt 1) (sqrt 3.0))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))))))>
12.694 * * * * [progress]: [ 118 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt 1) 1)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.694 * * * * [progress]: [ 119 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt 3.0))))))>
12.694 * * * * [progress]: [ 120 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))))>
12.694 * * * * [progress]: [ 121 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 1)) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) 3.0)))))>
12.694 * * * * [progress]: [ 122 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ 1 (* (cbrt 3.0) (cbrt 3.0)))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt 3.0))))))>
12.694 * * * * [progress]: [ 123 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ 1 (sqrt 3.0))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) (sqrt 3.0))))))>
12.694 * * * * [progress]: [ 124 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (/ 1 1)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.694 * * * * [progress]: [ 125 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt 1) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.694 * * * * [progress]: [ 126 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ 1 3.0)))))>
12.695 * * * * [progress]: [ 127 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))>
12.695 * * * * [progress]: [ 128 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (pow (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0) (/ 1 2))))>
12.695 * * * * [progress]: [ 129 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.695 * * * * [progress]: [ 130 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (fabs (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.695 * * * * [progress]: [ 131 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (fabs (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))))>
12.695 * * * * [progress]: [ 132 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (fabs (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0)))))>
12.695 * * * * [progress]: [ 133 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* 1 (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0)))))>
12.695 * * * * [progress]: [ 134 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (posit16->real (real->posit16 (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))))>
12.695 * * * * [progress]: [ 135 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ z 3.0))))>
12.695 * * * * [progress]: [ 136 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ x 3.0))))>
12.695 * * * * [progress]: [ 137 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* -1 x) 3.0))))>
12.695 * * * * [progress]: [ 138 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt z) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.695 * * * * [progress]: [ 139 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt x) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.695 * * * * [progress]: [ 140 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (* -1 x)) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))>
12.695 * * * * [progress]: [ 141 / 146 ] simplifiying candidate #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>
12.695 * * * * [progress]: [ 142 / 146 ] simplifiying candidate #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>
12.695 * * * * [progress]: [ 143 / 146 ] simplifiying candidate #<alt (λ (x y z) (* -1 (* x (sqrt 0.3333333333333333))))>
12.696 * * * * [progress]: [ 144 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (- (+ (* +nan.0 (* z (sqrt 0.3333333333333333))) (- (+ (* +nan.0 (* (pow y 2) (sqrt 0.3333333333333333))) (- (* +nan.0 (* (pow x 2) (sqrt 0.3333333333333333))))))))))>
12.696 * * * * [progress]: [ 145 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt x) (sqrt 0.3333333333333333))))>
12.696 * * * * [progress]: [ 146 / 146 ] simplifiying candidate #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (* (sqrt (* -1 x)) (sqrt 0.3333333333333333))))>
12.698 * [simplify]: Simplifying:
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  (exp (sqrt (+ (* x x) (+ (* y y) (* z z)))))
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  (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
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  (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) 3) (pow (+ (* y y) (* z z)) 3)))
  (sqrt (+ (* (* x x) (* x x)) (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* (* x x) (+ (* y y) (* z z))))))
  (sqrt (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (+ (* y y) (* z z)))))
  (sqrt (- (* x x) (+ (* y y) (* z z))))
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  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
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  (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)))))
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  (sqrt (cbrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
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  (sqrt (+ (* (* x x) (* x x)) (- (* (+ (* y y) (* z z)) (+ (* y y) (* z z))) (* (* x x) (+ (* y y) (* z z))))))
  (sqrt (- (* (* x x) (* x x)) (* (+ (* y y) (* z z)) (+ (* y y) (* z z)))))
  (sqrt (- (* x x) (+ (* y y) (* z z))))
  (/ 1 2)
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  (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))
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  (exp (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))
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  (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))
  (* (sqrt (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (sqrt (/ (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt 3.0))))
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  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (* (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (cbrt (sqrt (+ (* x x) (+ (* y y) (* z z)))))) (* (cbrt 3.0) (cbrt 3.0)))))
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  (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (* (cbrt (+ (* x x) (+ (* y y) (* z z)))) (cbrt (+ (* x x) (+ (* y y) (* z z)))))) (* (cbrt 3.0) (cbrt 3.0)))))
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  z
  x
  (* -1 x)
  z
  x
  (* -1 x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* -1 (* x (sqrt 0.3333333333333333)))
  (- (+ (* +nan.0 (* z (sqrt 0.3333333333333333))) (- (+ (* +nan.0 (* (pow y 2) (sqrt 0.3333333333333333))) (- (* +nan.0 (* (pow x 2) (sqrt 0.3333333333333333))))))))
  (* (sqrt x) (sqrt 0.3333333333333333))
  (* (sqrt (* -1 x)) (sqrt 0.3333333333333333))
12.701 * * [simplify]: iteration 0: 189 enodes
12.752 * * [simplify]: iteration 1: 362 enodes
12.897 * * [simplify]: iteration 2: 1005 enodes
13.429 * * [simplify]: iteration 3: 3293 enodes
14.138 * * [simplify]: iteration complete: 5010 enodes
14.138 * * [simplify]: Extracting #0: cost 93 inf + 0
14.139 * * [simplify]: Extracting #1: cost 407 inf + 4
14.150 * * [simplify]: Extracting #2: cost 1065 inf + 1338
14.156 * * [simplify]: Extracting #3: cost 1427 inf + 14965
14.170 * * [simplify]: Extracting #4: cost 1176 inf + 78367
14.224 * * [simplify]: Extracting #5: cost 428 inf + 307673
14.325 * * [simplify]: Extracting #6: cost 67 inf + 454235
14.469 * * [simplify]: Extracting #7: cost 3 inf + 484401
14.614 * * [simplify]: Extracting #8: cost 0 inf + 485551
14.757 * [simplify]: Simplified to:
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  1
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  1
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  z
  x
  (- x)
  z
  x
  (- x)
  (* z (sqrt 0.3333333333333333))
  (* x (sqrt 0.3333333333333333))
  (* (sqrt 0.3333333333333333) (- x))
  (- (* (sqrt 0.3333333333333333) (- (* +nan.0 z) (* +nan.0 (- (* y y) (* x x))))))
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14.780 * * * [progress]: adding candidates to table
15.534 * [progress]: [Phase 3 of 3] Extracting.
15.535 * * [regime]: Finding splitpoints for: (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
15.537 * * * [regime-changes]: Trying 10 branch expressions: ((* z z) (* y y) (* x x) (+ (* x x) (* y y)) (+ (+ (* x x) (* y y)) (* z z)) (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) z y x)
15.537 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
15.602 * * * * [regimes]: Trying to branch on (* z z) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
15.663 * * * * [regimes]: Trying to branch on (* y y) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
15.706 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
15.750 * * * * [regimes]: Trying to branch on (* x x) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>)
15.784 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
15.828 * * * * [regimes]: Trying to branch on (+ (* x x) (* y y)) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))>)
15.858 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
15.900 * * * * [regimes]: Trying to branch on (+ (+ (* x x) (* y y)) (* z z)) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))>)
15.928 * * * * [regimes]: Trying to branch on (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
15.989 * * * * [regimes]: Trying to branch on (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
16.061 * * * * [regimes]: Trying to branch on z from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
16.136 * * * * [regimes]: Trying to branch on y from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
16.202 * * * * [regimes]: Trying to branch on x from (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
16.290 * * * [regime]: Found split indices: #<option (#s(si 3 29) #s(si 2 216) #s(si 6 255))>
16.290 * [binary-search]: Improving bounds with binary search for x and (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
16.412 * [regimes]: Found splitpoints: (#s(sp 3 x -1.3226326560428921e+154) #s(sp 2 x 1.2721613999661422e+154) #s(sp 6 x +nan.0)) , with alts (#<alt (λ (x y z) (sqrt (* (/ (* (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z)))) (sqrt (sqrt (+ (+ (* x x) (* y y)) (* z z))))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (* (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 1) (/ (sqrt (+ (+ (* x x) (* y y)) (* z z))) 3.0))))> #<alt (λ (x y z) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)))> #<alt (λ (x y z) (- (* (sqrt 0.3333333333333333) x)))> #<alt (λ (x y z) (* (sqrt (sqrt (+ (* x x) (+ (* y y) (* z z))))) (sqrt (/ (sqrt (+ (* x x) (+ (* y y) (* z z)))) 3.0))))> #<alt (λ (x y z) (* z (sqrt 0.3333333333333333)))> #<alt (λ (x y z) (* x (sqrt 0.3333333333333333)))>)
16.412 * [simplify]: Simplifying:
  (if (<= x -1.3226326560428921e+154) (- (* (sqrt 0.3333333333333333) x)) (if (<= x 1.2721613999661422e+154) (sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)) (* x (sqrt 0.3333333333333333))))
16.413 * * [simplify]: iteration 0: 22 enodes
16.415 * * [simplify]: iteration 1: 28 enodes
16.417 * * [simplify]: iteration 2: 30 enodes
16.419 * * [simplify]: iteration complete: 30 enodes
16.419 * * [simplify]: Extracting #0: cost 1 inf + 0
16.419 * * [simplify]: Extracting #1: cost 4 inf + 0
16.419 * * [simplify]: Extracting #2: cost 12 inf + 0
16.419 * * [simplify]: Extracting #3: cost 13 inf + 2
16.419 * * [simplify]: Extracting #4: cost 11 inf + 112
16.419 * * [simplify]: Extracting #5: cost 8 inf + 424
16.419 * * [simplify]: Extracting #6: cost 10 inf + 506
16.419 * * [simplify]: Extracting #7: cost 9 inf + 548
16.420 * * [simplify]: Extracting #8: cost 6 inf + 631
16.420 * * [simplify]: Extracting #9: cost 4 inf + 956
16.420 * * [simplify]: Extracting #10: cost 1 inf + 1980
16.421 * * [simplify]: Extracting #11: cost 0 inf + 2687
16.421 * [simplify]: Simplified to:
  (if (<= x -1.3226326560428921e+154) (* (sqrt 0.3333333333333333) (- x)) (if (<= x 1.2721613999661422e+154) (sqrt (/ (+ (* z z) (+ (* y y) (* x x))) 3.0)) (* (sqrt 0.3333333333333333) x)))
18.209 * [regime-testing]: Baseline error score: 35.67866683468118
18.212 * [regime-testing]: Oracle error score: 18.11742814583981
18.219 * [regime-testing]: End program error score: 24.240222130253464
18.304 * [regime-testing]: Target error score: 24.623636537076212